TSTP Solution File: GRP100-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP100-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:34:45 EDT 2022
% Result : Unsatisfiable 0.17s 0.55s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 105
% Number of leaves : 201
% Syntax : Number of clauses : 751 ( 381 unt; 0 nHn; 371 RR)
% Number of literals : 1301 (1300 equ; 559 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 : 1556 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = Y ).
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(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)))]]) ).
cnf(refute_0_18,plain,
( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_19,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
double_divide(Z,identity) = inverse(Z),
inference(subst,[],[refute_0_4:[bind(X,$fot(Z))]]) ).
cnf(refute_0_22,plain,
double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)) = double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)))]]) ).
cnf(refute_0_23,plain,
( double_divide(Z,identity) != inverse(Z)
| double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)) != double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))
| double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)) = double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)),double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) ),[1,1],$fot(inverse(Z))]]) ).
cnf(refute_0_24,plain,
( double_divide(Z,identity) != inverse(Z)
| double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)) = double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)),double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)) = double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)),
inference(resolve,[$cnf( $equal(double_divide(Z,identity),inverse(Z)) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),
introduced(tautology,[refl,[$fot(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))))]]) ).
cnf(refute_0_27,plain,
( double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)))
| double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)) != double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))
| double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)))) ),[1,1],$fot(double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))]]) ).
cnf(refute_0_28,plain,
( double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)) != double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))
| double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) ),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) = double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity)),double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_31,plain,
( double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity))
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))))]]) ).
cnf(refute_0_32,plain,
( double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))) != double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z)))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_35,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_34]) ).
cnf(refute_0_36,plain,
( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity))
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity))
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)))),bind(Y0,$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)))),bind(Z0,$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity))))]]) ).
cnf(refute_0_37,plain,
( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity))
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) = double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity))) )],[refute_0_20,refute_0_37]) ).
cnf(refute_0_39,plain,
( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) != Y
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) != double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity))
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)),Y) ),[0],$fot(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)))]]) ).
cnf(refute_0_40,plain,
( double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)) != Y
| double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)) = Y ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)),double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),inverse(Z))),inverse(identity)) = Y,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(double_divide(Y,double_divide(X,Z)),double_divide(Z,identity))),double_divide(identity,identity)),Y) )],[single_axiom,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_41:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_43,plain,
identity = double_divide(X_10,inverse(X_10)),
inference(subst,[],[identity:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_44,plain,
( identity != double_divide(X_10,inverse(X_10))
| double_divide(X_10,inverse(X_10)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_10,inverse(X_10))))]]) ).
cnf(refute_0_45,plain,
double_divide(X_10,inverse(X_10)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_10,inverse(X_10))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( double_divide(X_10,inverse(X_10)) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_47,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X_10)),identity) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_50,plain,
double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))]]) ).
cnf(refute_0_51,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) != double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(inverse(X_11),inverse(inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_52,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(inverse(X_11),inverse(inverse(X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(inverse(X_11),inverse(inverse(X_10))),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))))]]) ).
cnf(refute_0_55,plain,
( double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) != double_divide(inverse(X_11),inverse(inverse(X_10)))
| double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(inverse(X_10))))]]) ).
cnf(refute_0_56,plain,
( double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) != double_divide(inverse(X_11),inverse(inverse(X_10)))
| double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),double_divide(inverse(X_11),inverse(inverse(X_10)))) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)))]]) ).
cnf(refute_0_59,plain,
( double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))))]]) ).
cnf(refute_0_60,plain,
( double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)))]]) ).
cnf(refute_0_63,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_48,refute_0_63]) ).
cnf(refute_0_65,plain,
double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) = X_13,
inference(subst,[],[refute_0_64:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_13))]]) ).
cnf(refute_0_66,plain,
identity = double_divide(inverse(X_13),inverse(inverse(X_13))),
inference(subst,[],[identity:[bind(X,$fot(inverse(X_13)))]]) ).
cnf(refute_0_67,plain,
( identity != double_divide(inverse(X_13),inverse(inverse(X_13)))
| double_divide(inverse(X_13),inverse(inverse(X_13))) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(inverse(X_13),inverse(inverse(X_13)))))]]) ).
cnf(refute_0_68,plain,
double_divide(inverse(X_13),inverse(inverse(X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_13),inverse(inverse(X_13)))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(inverse(X_13))) != identity
| double_divide(double_divide(X_13,identity),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_70,plain,
( double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(double_divide(X_13,identity),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(inverse(X_13))),identity) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) )],[refute_0_65,refute_0_70]) ).
cnf(refute_0_72,plain,
double_divide(X_13,identity) = inverse(X_13),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_73,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(double_divide(X_13,identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,identity),inverse(identity)))]]) ).
cnf(refute_0_74,plain,
( double_divide(X_13,identity) != inverse(X_13)
| double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(double_divide(X_13,identity),inverse(identity))
| double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) ),[1,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_75,plain,
( double_divide(X_13,identity) != inverse(X_13)
| double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_13,identity),inverse(X_13)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
( double_divide(double_divide(X_13,identity),inverse(identity)) != X_13
| double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| double_divide(inverse(X_13),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),X_13) ),[0],$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_78,plain,
( double_divide(double_divide(X_13,identity),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
double_divide(inverse(X_13),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),X_13) )],[refute_0_71,refute_0_78]) ).
cnf(refute_0_80,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_79:[bind(X_13,$fot(inverse(identity)))]]) ).
cnf(refute_0_81,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_41:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_82,plain,
inverse(X_10) = double_divide(X_10,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_83,plain,
( inverse(X_10) != double_divide(X_10,identity)
| double_divide(X_10,identity) = inverse(X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_10))),bind(Y0,$fot(double_divide(X_10,identity)))]]) ).
cnf(refute_0_84,plain,
double_divide(X_10,identity) = inverse(X_10),
inference(resolve,[$cnf( $equal(inverse(X_10),double_divide(X_10,identity)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_86,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) )],[refute_0_81,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)) = inverse(X_13),
inference(subst,[],[refute_0_87:[bind(X_10,$fot(identity)),bind(X_11,$fot(inverse(X_13)))]]) ).
cnf(refute_0_89,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_13)
| double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_13)) ),[0,0,1,0],$fot(X_13)]]) ).
cnf(refute_0_90,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_13)
| double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_79,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_13)) )],[refute_0_88,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_91:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_93,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(X,$fot(identity))]]) ).
cnf(refute_0_94,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_95,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_97,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_91:[bind(X_13,$fot(inverse(X_13)))]]) ).
cnf(refute_0_100,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) ),[0,0,1],$fot(X_13)]]) ).
cnf(refute_0_101,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
| double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_79,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_99,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(inverse(identity)),
inference(subst,[],[refute_0_102:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_104,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) ),[0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_105,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(inverse(identity))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) )],[refute_0_98,refute_0_105]) ).
cnf(refute_0_107,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) ),[0,0],$fot(inverse(identity))]]) ).
cnf(refute_0_108,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_80,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(subst,[],[refute_0_79:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_111,plain,
( double_divide(inverse(identity),inverse(identity)) != identity
| double_divide(inverse(identity),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),[0],$fot(identity)]]) ).
cnf(refute_0_112,plain,
( double_divide(inverse(identity),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_115,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_117,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_15,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(inverse(inverse(X_23)),inverse(X_23)) = identity,
inference(subst,[],[refute_0_118:[bind(X_3,$fot(inverse(X_23)))]]) ).
cnf(refute_0_120,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_13)))]]) ).
cnf(refute_0_121,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_122,plain,
( double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_123,plain,
( inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_123]) ).
cnf(refute_0_125,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),identity)
| double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(inverse(X_13),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_13),identity))),bind(Z0,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_126,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),identity)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_120,refute_0_126]) ).
cnf(refute_0_128,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(identity)) != inverse(inverse(X_13))
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_129,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_79,refute_0_129]) ).
cnf(refute_0_131,plain,
inverse(inverse(X_23)) = X_23,
inference(subst,[],[refute_0_130:[bind(X_13,$fot(X_23))]]) ).
cnf(refute_0_132,plain,
( multiply(inverse(inverse(X_23)),inverse(X_23)) != identity
| inverse(inverse(X_23)) != X_23
| multiply(X_23,inverse(X_23)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_23)),inverse(X_23)),identity) ),[0,0],$fot(X_23)]]) ).
cnf(refute_0_133,plain,
( multiply(inverse(inverse(X_23)),inverse(X_23)) != identity
| multiply(X_23,inverse(X_23)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_23)),X_23) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(X_23,inverse(X_23)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_23)),inverse(X_23)),identity) )],[refute_0_119,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(a1,inverse(a1)) = identity,
inference(subst,[],[refute_0_134:[bind(X_23,$fot(a1))]]) ).
cnf(refute_0_136,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_41:[bind(X,$fot(double_divide(X_3,X_2))),bind(Y,$fot(X_11)),bind(Z,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_137,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(X,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_138,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_139,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_140,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$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_142,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( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_137,refute_0_142]) ).
cnf(refute_0_144,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_145,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_147,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) )],[refute_0_136,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_150,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) != double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))
| double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_151,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_49,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))))]]) ).
cnf(refute_0_154,plain,
( double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))
| double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) != double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))
| double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_155,plain,
( double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))
| double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)))]]) ).
cnf(refute_0_158,plain,
( double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) != double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity))) ),[1,0],$fot(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))))]]) ).
cnf(refute_0_159,plain,
( double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) != double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)))]]) ).
cnf(refute_0_162,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) )],[refute_0_148,refute_0_162]) ).
cnf(refute_0_164,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| inverse(double_divide(Y,X)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_165,plain,
inverse(double_divide(Y,X)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_164]) ).
cnf(refute_0_166,plain,
inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
inference(subst,[],[refute_0_165:[bind(X,$fot(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))),bind(Y,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_167,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))))]]) ).
cnf(refute_0_168,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) != inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))))
| inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity))),bind(Y0,$fot(inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))))),bind(Z0,$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))))]]) ).
cnf(refute_0_169,plain,
( inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity),inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)))]]) ).
cnf(refute_0_172,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_173,plain,
( inverse(identity) != identity
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_173]) ).
cnf(refute_0_175,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity)
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity))),bind(Z0,$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))))]]) ).
cnf(refute_0_176,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_170,refute_0_176]) ).
cnf(refute_0_178,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_179,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) )],[refute_0_163,refute_0_179]) ).
cnf(refute_0_181,plain,
double_divide(inverse(double_divide(Y,X)),inverse(identity)) = double_divide(Y,X),
inference(subst,[],[refute_0_79:[bind(X_13,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_182,plain,
( double_divide(inverse(double_divide(Y,X)),inverse(identity)) != double_divide(Y,X)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(multiply(X,Y),inverse(identity)) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),inverse(identity)),double_divide(Y,X)) ),[0,0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_183,plain,
( double_divide(inverse(double_divide(Y,X)),inverse(identity)) != double_divide(Y,X)
| double_divide(multiply(X,Y),inverse(identity)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_165,refute_0_182]) ).
cnf(refute_0_184,plain,
double_divide(multiply(X,Y),inverse(identity)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(Y,X)),inverse(identity)),double_divide(Y,X)) )],[refute_0_181,refute_0_183]) ).
cnf(refute_0_185,plain,
double_divide(multiply(X,Y),identity) = inverse(multiply(X,Y)),
inference(subst,[],[refute_0_4:[bind(X,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_186,plain,
double_divide(multiply(X,Y),inverse(identity)) = double_divide(multiply(X,Y),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(multiply(X,Y),inverse(identity)))]]) ).
cnf(refute_0_187,plain,
( double_divide(multiply(X,Y),inverse(identity)) != double_divide(multiply(X,Y),inverse(identity))
| inverse(identity) != identity
| double_divide(multiply(X,Y),inverse(identity)) = double_divide(multiply(X,Y),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X,Y),inverse(identity)),double_divide(multiply(X,Y),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_188,plain,
( inverse(identity) != identity
| double_divide(multiply(X,Y),inverse(identity)) = double_divide(multiply(X,Y),identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),inverse(identity)),double_divide(multiply(X,Y),inverse(identity))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(multiply(X,Y),inverse(identity)) = double_divide(multiply(X,Y),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_188]) ).
cnf(refute_0_190,plain,
( double_divide(multiply(X,Y),identity) != inverse(multiply(X,Y))
| double_divide(multiply(X,Y),inverse(identity)) != double_divide(multiply(X,Y),identity)
| double_divide(multiply(X,Y),inverse(identity)) = inverse(multiply(X,Y)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(multiply(X,Y),inverse(identity)))),bind(Y0,$fot(double_divide(multiply(X,Y),identity))),bind(Z0,$fot(inverse(multiply(X,Y))))]]) ).
cnf(refute_0_191,plain,
( double_divide(multiply(X,Y),identity) != inverse(multiply(X,Y))
| double_divide(multiply(X,Y),inverse(identity)) = inverse(multiply(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),inverse(identity)),double_divide(multiply(X,Y),identity)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
double_divide(multiply(X,Y),inverse(identity)) = inverse(multiply(X,Y)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),identity),inverse(multiply(X,Y))) )],[refute_0_185,refute_0_191]) ).
cnf(refute_0_193,plain,
( double_divide(multiply(X,Y),inverse(identity)) != double_divide(Y,X)
| double_divide(multiply(X,Y),inverse(identity)) != inverse(multiply(X,Y))
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X,Y),inverse(identity)),double_divide(Y,X)) ),[0],$fot(inverse(multiply(X,Y)))]]) ).
cnf(refute_0_194,plain,
( double_divide(multiply(X,Y),inverse(identity)) != double_divide(Y,X)
| inverse(multiply(X,Y)) = double_divide(Y,X) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),inverse(identity)),inverse(multiply(X,Y))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(multiply(X,Y)) = double_divide(Y,X),
inference(resolve,[$cnf( $equal(double_divide(multiply(X,Y),inverse(identity)),double_divide(Y,X)) )],[refute_0_184,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(multiply(X_2,X_3)) = double_divide(X_3,X_2),
inference(subst,[],[refute_0_195:[bind(X,$fot(X_2)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_197,plain,
double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_198,plain,
( double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))
| inverse(multiply(X_2,X_3)) != double_divide(X_3,X_2)
| double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),double_divide(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) ),[1,1],$fot(double_divide(X_3,X_2))]]) ).
cnf(refute_0_199,plain,
( inverse(multiply(X_2,X_3)) != double_divide(X_3,X_2)
| double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,X_3)),double_divide(X_3,X_2)) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_202,plain,
( multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) ),[1,0],$fot(double_divide(inverse(X_11),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_203,plain,
( double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),double_divide(X_3,X_2))) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
( multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != X_11
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_206,plain,
( multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != X_11
| multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) = X_11,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),X_11) )],[refute_0_180,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(X_34,identity)) = X_32,
inference(subst,[],[refute_0_207:[bind(X_11,$fot(X_32)),bind(X_2,$fot(identity)),bind(X_3,$fot(X_34))]]) ).
cnf(refute_0_209,plain,
inverse(X_34) = double_divide(X_34,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_34))]]) ).
cnf(refute_0_210,plain,
( inverse(X_34) != double_divide(X_34,identity)
| double_divide(X_34,identity) = inverse(X_34) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_34))),bind(Y0,$fot(double_divide(X_34,identity)))]]) ).
cnf(refute_0_211,plain,
double_divide(X_34,identity) = inverse(X_34),
inference(resolve,[$cnf( $equal(inverse(X_34),double_divide(X_34,identity)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(X_34,identity)) != X_32
| double_divide(X_34,identity) != inverse(X_34)
| multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(X_34,identity)),X_32) ),[0,1],$fot(inverse(X_34))]]) ).
cnf(refute_0_213,plain,
( multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(X_34,identity)) != X_32
| multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) = X_32 ),
inference(resolve,[$cnf( $equal(double_divide(X_34,identity),inverse(X_34)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) = X_32,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(X_34,identity)),X_32) )],[refute_0_208,refute_0_213]) ).
cnf(refute_0_215,plain,
double_divide(inverse(X_32),double_divide(X_34,identity)) = double_divide(inverse(X_32),double_divide(X_34,identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_32),double_divide(X_34,identity)))]]) ).
cnf(refute_0_216,plain,
( double_divide(X_34,identity) != inverse(X_34)
| double_divide(inverse(X_32),double_divide(X_34,identity)) != double_divide(inverse(X_32),double_divide(X_34,identity))
| double_divide(inverse(X_32),double_divide(X_34,identity)) = double_divide(inverse(X_32),inverse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(inverse(X_32),double_divide(X_34,identity))) ),[1,1],$fot(inverse(X_34))]]) ).
cnf(refute_0_217,plain,
( double_divide(X_34,identity) != inverse(X_34)
| double_divide(inverse(X_32),double_divide(X_34,identity)) = double_divide(inverse(X_32),inverse(X_34)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(inverse(X_32),double_divide(X_34,identity))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(inverse(X_32),double_divide(X_34,identity)) = double_divide(inverse(X_32),inverse(X_34)),
inference(resolve,[$cnf( $equal(double_divide(X_34,identity),inverse(X_34)) )],[refute_0_211,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) = multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)))]]) ).
cnf(refute_0_220,plain,
( multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) != multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34))
| double_divide(inverse(X_32),double_divide(X_34,identity)) != double_divide(inverse(X_32),inverse(X_34))
| multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) = multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)),multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34))) ),[1,0],$fot(double_divide(inverse(X_32),inverse(X_34)))]]) ).
cnf(refute_0_221,plain,
( double_divide(inverse(X_32),double_divide(X_34,identity)) != double_divide(inverse(X_32),inverse(X_34))
| multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) = multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)),multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) = multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_32),double_divide(X_34,identity)),double_divide(inverse(X_32),inverse(X_34))) )],[refute_0_218,refute_0_221]) ).
cnf(refute_0_223,plain,
( multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) != X_32
| multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) != multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34))
| multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)),X_32) ),[0],$fot(multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34)))]]) ).
cnf(refute_0_224,plain,
( multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)) != X_32
| multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34)) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)),multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(double_divide(inverse(X_32),inverse(X_34)),inverse(X_34)) = X_32,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_32),double_divide(X_34,identity)),inverse(X_34)),X_32) )],[refute_0_214,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),inverse(inverse(X_13))) = X_39,
inference(subst,[],[refute_0_225:[bind(X_32,$fot(X_39)),bind(X_34,$fot(inverse(X_13)))]]) ).
cnf(refute_0_227,plain,
( multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),inverse(inverse(X_13))) != X_39
| inverse(inverse(X_13)) != X_13
| multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),inverse(inverse(X_13))),X_39) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_228,plain,
( multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),inverse(inverse(X_13))) != X_39
| multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) = X_39 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) = X_39,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),inverse(inverse(X_13))),X_39) )],[refute_0_226,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(inverse(X_39),inverse(inverse(X_13))) = double_divide(inverse(X_39),inverse(inverse(X_13))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_39),inverse(inverse(X_13))))]]) ).
cnf(refute_0_231,plain,
( double_divide(inverse(X_39),inverse(inverse(X_13))) != double_divide(inverse(X_39),inverse(inverse(X_13)))
| inverse(inverse(X_13)) != X_13
| double_divide(inverse(X_39),inverse(inverse(X_13))) = double_divide(inverse(X_39),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_39),inverse(inverse(X_13))),double_divide(inverse(X_39),inverse(inverse(X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_232,plain,
( inverse(inverse(X_13)) != X_13
| double_divide(inverse(X_39),inverse(inverse(X_13))) = double_divide(inverse(X_39),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),inverse(inverse(X_13))),double_divide(inverse(X_39),inverse(inverse(X_13)))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
double_divide(inverse(X_39),inverse(inverse(X_13))) = double_divide(inverse(X_39),X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13))]]) ).
cnf(refute_0_235,plain,
( multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) != multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13)
| double_divide(inverse(X_39),inverse(inverse(X_13))) != double_divide(inverse(X_39),X_13)
| multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_39),X_13),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13)) ),[1,0],$fot(double_divide(inverse(X_39),X_13))]]) ).
cnf(refute_0_236,plain,
( double_divide(inverse(X_39),inverse(inverse(X_13))) != double_divide(inverse(X_39),X_13)
| multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_39),X_13),X_13) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_39),X_13),X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_39),inverse(inverse(X_13))),double_divide(inverse(X_39),X_13)) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
( multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) != X_39
| multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) != multiply(double_divide(inverse(X_39),X_13),X_13)
| multiply(double_divide(inverse(X_39),X_13),X_13) = X_39 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13),X_39) ),[0],$fot(multiply(double_divide(inverse(X_39),X_13),X_13))]]) ).
cnf(refute_0_239,plain,
( multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13) != X_39
| multiply(double_divide(inverse(X_39),X_13),X_13) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_39),X_13),X_13)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(double_divide(inverse(X_39),X_13),X_13) = X_39,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_39),inverse(inverse(X_13))),X_13),X_39) )],[refute_0_229,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(double_divide(inverse(inverse(X_13)),X_41),X_41) = inverse(X_13),
inference(subst,[],[refute_0_240:[bind(X_13,$fot(X_41)),bind(X_39,$fot(inverse(X_13)))]]) ).
cnf(refute_0_242,plain,
( multiply(double_divide(inverse(inverse(X_13)),X_41),X_41) != inverse(X_13)
| inverse(inverse(X_13)) != X_13
| multiply(double_divide(X_13,X_41),X_41) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_41),X_41),inverse(X_13)) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_243,plain,
( multiply(double_divide(inverse(inverse(X_13)),X_41),X_41) != inverse(X_13)
| multiply(double_divide(X_13,X_41),X_41) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(double_divide(X_13,X_41),X_41) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_41),X_41),inverse(X_13)) )],[refute_0_241,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(double_divide(X_13,double_divide(X_53,X_13)),double_divide(X_53,X_13)) = inverse(X_13),
inference(subst,[],[refute_0_244:[bind(X_41,$fot(double_divide(X_53,X_13)))]]) ).
cnf(refute_0_246,plain,
multiply(double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))),double_divide(X_50,double_divide(X_51,X_50))) = inverse(inverse(X_51)),
inference(subst,[],[refute_0_244:[bind(X_13,$fot(inverse(X_51))),bind(X_41,$fot(double_divide(X_50,double_divide(X_51,X_50))))]]) ).
cnf(refute_0_247,plain,
multiply(double_divide(Y,X),inverse(double_divide(Y,X))) = identity,
inference(subst,[],[refute_0_134:[bind(X_23,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_248,plain,
( multiply(double_divide(Y,X),inverse(double_divide(Y,X))) != identity
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(double_divide(Y,X),multiply(X,Y)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,X),inverse(double_divide(Y,X))),identity) ),[0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_249,plain,
( multiply(double_divide(Y,X),inverse(double_divide(Y,X))) != identity
| multiply(double_divide(Y,X),multiply(X,Y)) = identity ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_165,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(double_divide(Y,X),multiply(X,Y)) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,X),inverse(double_divide(Y,X))),identity) )],[refute_0_247,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47))) = identity,
inference(subst,[],[refute_0_250:[bind(X,$fot(double_divide(X_46,double_divide(X_47,X_46)))),bind(Y,$fot(inverse(X_47)))]]) ).
cnf(refute_0_252,plain,
multiply(double_divide(Y,double_divide(X_43,Y)),multiply(double_divide(X_43,Y),Y)) = identity,
inference(subst,[],[refute_0_250:[bind(X,$fot(double_divide(X_43,Y)))]]) ).
cnf(refute_0_253,plain,
multiply(double_divide(X_43,Y),Y) = inverse(X_43),
inference(subst,[],[refute_0_244:[bind(X_13,$fot(X_43)),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_254,plain,
( multiply(double_divide(Y,double_divide(X_43,Y)),multiply(double_divide(X_43,Y),Y)) != identity
| multiply(double_divide(X_43,Y),Y) != inverse(X_43)
| multiply(double_divide(Y,double_divide(X_43,Y)),inverse(X_43)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,double_divide(X_43,Y)),multiply(double_divide(X_43,Y),Y)),identity) ),[0,1],$fot(inverse(X_43))]]) ).
cnf(refute_0_255,plain,
( multiply(double_divide(Y,double_divide(X_43,Y)),multiply(double_divide(X_43,Y),Y)) != identity
| multiply(double_divide(Y,double_divide(X_43,Y)),inverse(X_43)) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_43,Y),Y),inverse(X_43)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(double_divide(Y,double_divide(X_43,Y)),inverse(X_43)) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,double_divide(X_43,Y)),multiply(double_divide(X_43,Y),Y)),identity) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47)) = identity,
inference(subst,[],[refute_0_256:[bind(Y,$fot(X_46)),bind(X_43,$fot(X_47))]]) ).
cnf(refute_0_258,plain,
( multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47)) != identity
| multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47))) != identity
| multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47))),identity) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_259,plain,
( multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47))) != identity
| multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47)),identity) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),multiply(double_divide(X_46,double_divide(X_47,X_46)),inverse(X_47))),identity) )],[refute_0_251,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(double_divide(identity,X_13)) = multiply(X_13,identity),
inference(subst,[],[refute_0_165:[bind(X,$fot(X_13)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_262,plain,
double_divide(double_divide(identity,X_13),identity) = inverse(double_divide(identity,X_13)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_263,plain,
( double_divide(double_divide(identity,X_13),identity) != inverse(double_divide(identity,X_13))
| inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Y0,$fot(inverse(double_divide(identity,X_13)))),bind(Z0,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_264,plain,
( inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),inverse(double_divide(identity,X_13))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_13)),multiply(X_13,identity)) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_13),inverse(identity)))]]) ).
cnf(refute_0_267,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != double_divide(double_divide(identity,X_13),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_268,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),inverse(identity))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_268]) ).
cnf(refute_0_270,plain,
( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) != double_divide(double_divide(identity,X_13),identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(identity,X_13),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Z0,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_271,plain,
( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),identity)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),multiply(X_13,identity)) )],[refute_0_265,refute_0_271]) ).
cnf(refute_0_273,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
| multiply(X_13,identity) = inverse(inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),inverse(inverse(X_13))) ),[0],$fot(multiply(X_13,identity))]]) ).
cnf(refute_0_274,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
| multiply(X_13,identity) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),multiply(X_13,identity)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
( multiply(X_13,identity) != inverse(inverse(X_13))
| inverse(inverse(X_13)) != X_13
| multiply(X_13,identity) = X_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,identity),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_276,plain,
( multiply(X_13,identity) != inverse(inverse(X_13))
| multiply(X_13,identity) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_275]) ).
cnf(refute_0_277,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
| multiply(X_13,identity) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(X_13,identity),inverse(inverse(X_13))) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(X_13,identity) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_102,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity) = double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),
inference(subst,[],[refute_0_278:[bind(X_13,$fot(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46)))))]]) ).
cnf(refute_0_280,plain,
( multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity) != double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46)))
| multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity) != identity
| double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity),identity) ),[0],$fot(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))))]]) ).
cnf(refute_0_281,plain,
( multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity) != identity
| double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity),double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46)))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_47),double_divide(X_46,double_divide(X_47,X_46))),identity),identity) )],[refute_0_260,refute_0_281]) ).
cnf(refute_0_283,plain,
double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))) = identity,
inference(subst,[],[refute_0_282:[bind(X_46,$fot(X_50)),bind(X_47,$fot(X_51))]]) ).
cnf(refute_0_284,plain,
( multiply(double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))),double_divide(X_50,double_divide(X_51,X_50))) != inverse(inverse(X_51))
| double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))) != identity
| multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) = inverse(inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))),double_divide(X_50,double_divide(X_51,X_50))),inverse(inverse(X_51))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_285,plain,
( multiply(double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))),double_divide(X_50,double_divide(X_51,X_50))) != inverse(inverse(X_51))
| multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) = inverse(inverse(X_51)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))),identity) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) = inverse(inverse(X_51)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_51),double_divide(X_50,double_divide(X_51,X_50))),double_divide(X_50,double_divide(X_51,X_50))),inverse(inverse(X_51))) )],[refute_0_246,refute_0_285]) ).
cnf(refute_0_287,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_288,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_289,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_290,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_292,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_287,refute_0_292]) ).
cnf(refute_0_294,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_130:[bind(X_13,$fot(X_3))]]) ).
cnf(refute_0_295,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_296,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) = double_divide(X_50,double_divide(X_51,X_50)),
inference(subst,[],[refute_0_297:[bind(X_3,$fot(double_divide(X_50,double_divide(X_51,X_50))))]]) ).
cnf(refute_0_299,plain,
( multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) != double_divide(X_50,double_divide(X_51,X_50))
| multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) != inverse(inverse(X_51))
| double_divide(X_50,double_divide(X_51,X_50)) = inverse(inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(X_50,double_divide(X_51,X_50))),inverse(inverse(X_51))) ),[0],$fot(double_divide(X_50,double_divide(X_51,X_50)))]]) ).
cnf(refute_0_300,plain,
( multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) != inverse(inverse(X_51))
| double_divide(X_50,double_divide(X_51,X_50)) = inverse(inverse(X_51)) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_50,double_divide(X_51,X_50))),double_divide(X_50,double_divide(X_51,X_50))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
inverse(inverse(X_51)) = X_51,
inference(subst,[],[refute_0_130:[bind(X_13,$fot(X_51))]]) ).
cnf(refute_0_302,plain,
( double_divide(X_50,double_divide(X_51,X_50)) != inverse(inverse(X_51))
| inverse(inverse(X_51)) != X_51
| double_divide(X_50,double_divide(X_51,X_50)) = X_51 ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_50,double_divide(X_51,X_50)),X_51) ),[0],$fot(inverse(inverse(X_51)))]]) ).
cnf(refute_0_303,plain,
( double_divide(X_50,double_divide(X_51,X_50)) != inverse(inverse(X_51))
| double_divide(X_50,double_divide(X_51,X_50)) = X_51 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_51)),X_51) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiply(identity,double_divide(X_50,double_divide(X_51,X_50))) != inverse(inverse(X_51))
| double_divide(X_50,double_divide(X_51,X_50)) = X_51 ),
inference(resolve,[$cnf( $equal(double_divide(X_50,double_divide(X_51,X_50)),inverse(inverse(X_51))) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
double_divide(X_50,double_divide(X_51,X_50)) = X_51,
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_50,double_divide(X_51,X_50))),inverse(inverse(X_51))) )],[refute_0_286,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(X_13,double_divide(X_53,X_13)) = X_53,
inference(subst,[],[refute_0_305:[bind(X_50,$fot(X_13)),bind(X_51,$fot(X_53))]]) ).
cnf(refute_0_307,plain,
( multiply(double_divide(X_13,double_divide(X_53,X_13)),double_divide(X_53,X_13)) != inverse(X_13)
| double_divide(X_13,double_divide(X_53,X_13)) != X_53
| multiply(X_53,double_divide(X_53,X_13)) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_53,X_13)),double_divide(X_53,X_13)),inverse(X_13)) ),[0,0],$fot(X_53)]]) ).
cnf(refute_0_308,plain,
( multiply(double_divide(X_13,double_divide(X_53,X_13)),double_divide(X_53,X_13)) != inverse(X_13)
| multiply(X_53,double_divide(X_53,X_13)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(X_53,X_13)),X_53) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(X_53,double_divide(X_53,X_13)) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_53,X_13)),double_divide(X_53,X_13)),inverse(X_13)) )],[refute_0_245,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(X_53,double_divide(X_53,multiply(X_90,inverse(X_53)))) = inverse(multiply(X_90,inverse(X_53))),
inference(subst,[],[refute_0_309:[bind(X_13,$fot(multiply(X_90,inverse(X_53))))]]) ).
cnf(refute_0_311,plain,
double_divide(double_divide(X_53,X_51),double_divide(X_51,double_divide(X_53,X_51))) = X_51,
inference(subst,[],[refute_0_305:[bind(X_50,$fot(double_divide(X_53,X_51)))]]) ).
cnf(refute_0_312,plain,
double_divide(X_51,double_divide(X_53,X_51)) = X_53,
inference(subst,[],[refute_0_305:[bind(X_50,$fot(X_51)),bind(X_51,$fot(X_53))]]) ).
cnf(refute_0_313,plain,
( double_divide(X_51,double_divide(X_53,X_51)) != X_53
| double_divide(double_divide(X_53,X_51),double_divide(X_51,double_divide(X_53,X_51))) != X_51
| double_divide(double_divide(X_53,X_51),X_53) = X_51 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_53,X_51),double_divide(X_51,double_divide(X_53,X_51))),X_51) ),[0,1],$fot(X_53)]]) ).
cnf(refute_0_314,plain,
( double_divide(double_divide(X_53,X_51),double_divide(X_51,double_divide(X_53,X_51))) != X_51
| double_divide(double_divide(X_53,X_51),X_53) = X_51 ),
inference(resolve,[$cnf( $equal(double_divide(X_51,double_divide(X_53,X_51)),X_53) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
double_divide(double_divide(X_53,X_51),X_53) = X_51,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_53,X_51),double_divide(X_51,double_divide(X_53,X_51))),X_51) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(double_divide(X_53,inverse(X_68)),X_53) = inverse(X_68),
inference(subst,[],[refute_0_315:[bind(X_51,$fot(inverse(X_68)))]]) ).
cnf(refute_0_317,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)) = Y,
inference(subst,[],[refute_0_41:[bind(X,$fot(inverse(X_15))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_318,plain,
double_divide(inverse(X_15),inverse(identity)) = X_15,
inference(subst,[],[refute_0_79:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_319,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)) != Y
| double_divide(inverse(X_15),inverse(identity)) != X_15
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)),Y) ),[0,0,1,0,1],$fot(X_15)]]) ).
cnf(refute_0_320,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)) != Y
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) = Y ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),inverse(identity)),X_15) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) = Y,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)),Y) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
double_divide(double_divide(Y,X_15),inverse(inverse(identity))) = double_divide(double_divide(Y,X_15),inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,X_15),inverse(inverse(identity))))]]) ).
cnf(refute_0_323,plain,
( double_divide(double_divide(Y,X_15),inverse(inverse(identity))) != double_divide(double_divide(Y,X_15),inverse(inverse(identity)))
| inverse(inverse(identity)) != inverse(identity)
| double_divide(double_divide(Y,X_15),inverse(inverse(identity))) = double_divide(double_divide(Y,X_15),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X_15),inverse(inverse(identity))),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_324,plain,
( inverse(inverse(identity)) != inverse(identity)
| double_divide(double_divide(Y,X_15),inverse(inverse(identity))) = double_divide(double_divide(Y,X_15),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),inverse(inverse(identity))),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
double_divide(double_divide(Y,X_15),inverse(inverse(identity))) = double_divide(double_divide(Y,X_15),inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_106,refute_0_324]) ).
cnf(refute_0_326,plain,
double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))))]]) ).
cnf(refute_0_327,plain,
( double_divide(double_divide(Y,X_15),inverse(inverse(identity))) != double_divide(double_divide(Y,X_15),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) != double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity))))
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity))))) ),[1,1],$fot(double_divide(double_divide(Y,X_15),inverse(identity)))]]) ).
cnf(refute_0_328,plain,
( double_divide(double_divide(Y,X_15),inverse(inverse(identity))) != double_divide(double_divide(Y,X_15),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity))))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),inverse(inverse(identity))),double_divide(double_divide(Y,X_15),inverse(identity))) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)))]]) ).
cnf(refute_0_331,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) != double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) != double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity)))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))))]]) ).
cnf(refute_0_332,plain,
( double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))) != double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity)))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity)))) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) != Y
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) != double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)),Y) ),[0],$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_335,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)) != Y
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = Y ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = Y,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(inverse(identity)))),inverse(identity)),Y) )],[refute_0_321,refute_0_335]) ).
cnf(refute_0_337,plain,
inverse(double_divide(inverse(X_15),multiply(X_15,Y))) = multiply(multiply(X_15,Y),inverse(X_15)),
inference(subst,[],[refute_0_165:[bind(X,$fot(multiply(X_15,Y))),bind(Y,$fot(inverse(X_15)))]]) ).
cnf(refute_0_338,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) = inverse(double_divide(inverse(X_15),multiply(X_15,Y))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(inverse(X_15),multiply(X_15,Y))))]]) ).
cnf(refute_0_339,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) != inverse(double_divide(inverse(X_15),multiply(X_15,Y)))
| inverse(double_divide(inverse(X_15),multiply(X_15,Y))) != multiply(multiply(X_15,Y),inverse(X_15))
| double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) = multiply(multiply(X_15,Y),inverse(X_15)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity))),bind(Y0,$fot(inverse(double_divide(inverse(X_15),multiply(X_15,Y))))),bind(Z0,$fot(multiply(multiply(X_15,Y),inverse(X_15))))]]) ).
cnf(refute_0_340,plain,
( inverse(double_divide(inverse(X_15),multiply(X_15,Y))) != multiply(multiply(X_15,Y),inverse(X_15))
| double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) = multiply(multiply(X_15,Y),inverse(X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity),inverse(double_divide(inverse(X_15),multiply(X_15,Y)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) = multiply(multiply(X_15,Y),inverse(X_15)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_15),multiply(X_15,Y))),multiply(multiply(X_15,Y),inverse(X_15))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)))]]) ).
cnf(refute_0_343,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_344,plain,
( inverse(identity) != identity
| double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_344]) ).
cnf(refute_0_346,plain,
inverse(double_divide(Y,X_15)) = multiply(X_15,Y),
inference(subst,[],[refute_0_165:[bind(X,$fot(X_15))]]) ).
cnf(refute_0_347,plain,
double_divide(double_divide(Y,X_15),identity) = inverse(double_divide(Y,X_15)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(Y,X_15)))]]) ).
cnf(refute_0_348,plain,
( double_divide(double_divide(Y,X_15),identity) != inverse(double_divide(Y,X_15))
| inverse(double_divide(Y,X_15)) != multiply(X_15,Y)
| double_divide(double_divide(Y,X_15),identity) = multiply(X_15,Y) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(Y,X_15),identity))),bind(Y0,$fot(inverse(double_divide(Y,X_15)))),bind(Z0,$fot(multiply(X_15,Y)))]]) ).
cnf(refute_0_349,plain,
( inverse(double_divide(Y,X_15)) != multiply(X_15,Y)
| double_divide(double_divide(Y,X_15),identity) = multiply(X_15,Y) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),identity),inverse(double_divide(Y,X_15))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
double_divide(double_divide(Y,X_15),identity) = multiply(X_15,Y),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X_15)),multiply(X_15,Y)) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
double_divide(double_divide(Y,X_15),inverse(identity)) = double_divide(double_divide(Y,X_15),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Y,X_15),inverse(identity)))]]) ).
cnf(refute_0_352,plain,
( double_divide(double_divide(Y,X_15),inverse(identity)) != double_divide(double_divide(Y,X_15),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(Y,X_15),inverse(identity)) = double_divide(double_divide(Y,X_15),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Y,X_15),inverse(identity)),double_divide(double_divide(Y,X_15),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_353,plain,
( inverse(identity) != identity
| double_divide(double_divide(Y,X_15),inverse(identity)) = double_divide(double_divide(Y,X_15),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),inverse(identity)),double_divide(double_divide(Y,X_15),inverse(identity))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
double_divide(double_divide(Y,X_15),inverse(identity)) = double_divide(double_divide(Y,X_15),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_353]) ).
cnf(refute_0_355,plain,
( double_divide(double_divide(Y,X_15),identity) != multiply(X_15,Y)
| double_divide(double_divide(Y,X_15),inverse(identity)) != double_divide(double_divide(Y,X_15),identity)
| double_divide(double_divide(Y,X_15),inverse(identity)) = multiply(X_15,Y) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(Y,X_15),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(Y,X_15),identity))),bind(Z0,$fot(multiply(X_15,Y)))]]) ).
cnf(refute_0_356,plain,
( double_divide(double_divide(Y,X_15),identity) != multiply(X_15,Y)
| double_divide(double_divide(Y,X_15),inverse(identity)) = multiply(X_15,Y) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),inverse(identity)),double_divide(double_divide(Y,X_15),identity)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
double_divide(double_divide(Y,X_15),inverse(identity)) = multiply(X_15,Y),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),identity),multiply(X_15,Y)) )],[refute_0_350,refute_0_356]) ).
cnf(refute_0_358,plain,
double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) = double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))))]]) ).
cnf(refute_0_359,plain,
( double_divide(double_divide(Y,X_15),inverse(identity)) != multiply(X_15,Y)
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) != double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity)))
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) = double_divide(inverse(X_15),multiply(X_15,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity)))) ),[1,1],$fot(multiply(X_15,Y))]]) ).
cnf(refute_0_360,plain,
( double_divide(double_divide(Y,X_15),inverse(identity)) != multiply(X_15,Y)
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) = double_divide(inverse(X_15),multiply(X_15,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity)))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) = double_divide(inverse(X_15),multiply(X_15,Y)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X_15),inverse(identity)),multiply(X_15,Y)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_363,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) != double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) != double_divide(inverse(X_15),multiply(X_15,Y))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_15),multiply(X_15,Y)))]]) ).
cnf(refute_0_364,plain,
( double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))) != double_divide(inverse(X_15),multiply(X_15,Y))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),double_divide(inverse(X_15),multiply(X_15,Y))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity)
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)))),bind(Z0,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity)))]]) ).
cnf(refute_0_367,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity)
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity)) )],[refute_0_345,refute_0_367]) ).
cnf(refute_0_369,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) != multiply(multiply(X_15,Y),inverse(X_15))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity)
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = multiply(multiply(X_15,Y),inverse(X_15)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity))),bind(Z0,$fot(multiply(multiply(X_15,Y),inverse(X_15))))]]) ).
cnf(refute_0_370,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity) != multiply(multiply(X_15,Y),inverse(X_15))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = multiply(multiply(X_15,Y),inverse(X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) = multiply(multiply(X_15,Y),inverse(X_15)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,Y)),identity),multiply(multiply(X_15,Y),inverse(X_15))) )],[refute_0_341,refute_0_370]) ).
cnf(refute_0_372,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) != Y
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) != multiply(multiply(X_15,Y),inverse(X_15))
| multiply(multiply(X_15,Y),inverse(X_15)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),Y) ),[0],$fot(multiply(multiply(X_15,Y),inverse(X_15)))]]) ).
cnf(refute_0_373,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)) != Y
| multiply(multiply(X_15,Y),inverse(X_15)) = Y ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),multiply(multiply(X_15,Y),inverse(X_15))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
multiply(multiply(X_15,Y),inverse(X_15)) = Y,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(Y,X_15),inverse(identity))),inverse(identity)),Y) )],[refute_0_336,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(multiply(X_59,double_divide(X_59,X_13)),inverse(X_59)) = double_divide(X_59,X_13),
inference(subst,[],[refute_0_374:[bind(Y,$fot(double_divide(X_59,X_13))),bind(X_15,$fot(X_59))]]) ).
cnf(refute_0_376,plain,
multiply(X_59,double_divide(X_59,X_13)) = inverse(X_13),
inference(subst,[],[refute_0_309:[bind(X_53,$fot(X_59))]]) ).
cnf(refute_0_377,plain,
( multiply(X_59,double_divide(X_59,X_13)) != inverse(X_13)
| multiply(multiply(X_59,double_divide(X_59,X_13)),inverse(X_59)) != double_divide(X_59,X_13)
| multiply(inverse(X_13),inverse(X_59)) = double_divide(X_59,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_59,double_divide(X_59,X_13)),inverse(X_59)),double_divide(X_59,X_13)) ),[0,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_378,plain,
( multiply(multiply(X_59,double_divide(X_59,X_13)),inverse(X_59)) != double_divide(X_59,X_13)
| multiply(inverse(X_13),inverse(X_59)) = double_divide(X_59,X_13) ),
inference(resolve,[$cnf( $equal(multiply(X_59,double_divide(X_59,X_13)),inverse(X_13)) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
multiply(inverse(X_13),inverse(X_59)) = double_divide(X_59,X_13),
inference(resolve,[$cnf( $equal(multiply(multiply(X_59,double_divide(X_59,X_13)),inverse(X_59)),double_divide(X_59,X_13)) )],[refute_0_375,refute_0_378]) ).
cnf(refute_0_380,plain,
multiply(inverse(inverse(X_13)),inverse(X_65)) = double_divide(X_65,inverse(X_13)),
inference(subst,[],[refute_0_379:[bind(X_13,$fot(inverse(X_13))),bind(X_59,$fot(X_65))]]) ).
cnf(refute_0_381,plain,
( multiply(inverse(inverse(X_13)),inverse(X_65)) != double_divide(X_65,inverse(X_13))
| inverse(inverse(X_13)) != X_13
| multiply(X_13,inverse(X_65)) = double_divide(X_65,inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),inverse(X_65)),double_divide(X_65,inverse(X_13))) ),[0,0],$fot(X_13)]]) ).
cnf(refute_0_382,plain,
( multiply(inverse(inverse(X_13)),inverse(X_65)) != double_divide(X_65,inverse(X_13))
| multiply(X_13,inverse(X_65)) = double_divide(X_65,inverse(X_13)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(X_13,inverse(X_65)) = double_divide(X_65,inverse(X_13)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),inverse(X_65)),double_divide(X_65,inverse(X_13))) )],[refute_0_380,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(X_68,inverse(X_53)) = double_divide(X_53,inverse(X_68)),
inference(subst,[],[refute_0_383:[bind(X_13,$fot(X_68)),bind(X_65,$fot(X_53))]]) ).
cnf(refute_0_385,plain,
( multiply(X_68,inverse(X_53)) != double_divide(X_53,inverse(X_68))
| double_divide(X_53,inverse(X_68)) = multiply(X_68,inverse(X_53)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_68,inverse(X_53)))),bind(Y0,$fot(double_divide(X_53,inverse(X_68))))]]) ).
cnf(refute_0_386,plain,
double_divide(X_53,inverse(X_68)) = multiply(X_68,inverse(X_53)),
inference(resolve,[$cnf( $equal(multiply(X_68,inverse(X_53)),double_divide(X_53,inverse(X_68))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( double_divide(X_53,inverse(X_68)) != multiply(X_68,inverse(X_53))
| double_divide(double_divide(X_53,inverse(X_68)),X_53) != inverse(X_68)
| double_divide(multiply(X_68,inverse(X_53)),X_53) = inverse(X_68) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_53,inverse(X_68)),X_53),inverse(X_68)) ),[0,0],$fot(multiply(X_68,inverse(X_53)))]]) ).
cnf(refute_0_388,plain,
( double_divide(double_divide(X_53,inverse(X_68)),X_53) != inverse(X_68)
| double_divide(multiply(X_68,inverse(X_53)),X_53) = inverse(X_68) ),
inference(resolve,[$cnf( $equal(double_divide(X_53,inverse(X_68)),multiply(X_68,inverse(X_53))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
double_divide(multiply(X_68,inverse(X_53)),X_53) = inverse(X_68),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_53,inverse(X_68)),X_53),inverse(X_68)) )],[refute_0_316,refute_0_388]) ).
cnf(refute_0_390,plain,
double_divide(X_50,double_divide(double_divide(X_84,X_50),X_50)) = double_divide(X_84,X_50),
inference(subst,[],[refute_0_305:[bind(X_51,$fot(double_divide(X_84,X_50)))]]) ).
cnf(refute_0_391,plain,
multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity) = multiply(X_78,multiply(double_divide(identity,X_78),X_80)),
inference(subst,[],[refute_0_278:[bind(X_13,$fot(multiply(X_78,multiply(double_divide(identity,X_78),X_80))))]]) ).
cnf(refute_0_392,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),inverse(double_divide(Y,X)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_41:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_393,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),inverse(double_divide(Y,X)))),inverse(identity)) != X_11
| inverse(double_divide(Y,X)) != multiply(X,Y)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),inverse(double_divide(Y,X)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_394,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),inverse(double_divide(Y,X)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_165,refute_0_393]) ).
cnf(refute_0_395,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),inverse(double_divide(Y,X)))),inverse(identity)),X_11) )],[refute_0_392,refute_0_394]) ).
cnf(refute_0_396,plain,
inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10),
inference(subst,[],[refute_0_165:[bind(X,$fot(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_397,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) = inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))))]]) ).
cnf(refute_0_398,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) != inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))))
| inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity))),bind(Y0,$fot(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))))),bind(Z0,$fot(multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)))]]) ).
cnf(refute_0_399,plain,
( inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity),inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)))),multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)))]]) ).
cnf(refute_0_402,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_403,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_403]) ).
cnf(refute_0_405,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity))),bind(Z0,$fot(multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)))]]) ).
cnf(refute_0_406,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),identity),multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)) )],[refute_0_400,refute_0_406]) ).
cnf(refute_0_408,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)
| multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10))]]) ).
cnf(refute_0_409,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)) != X_11
| multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)),multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y)),X_10) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(Y,X))),multiply(X,Y))),inverse(identity)),X_11) )],[refute_0_395,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),multiply(double_divide(X_13,X_75),X_75)),X_76) = X_77,
inference(subst,[],[refute_0_410:[bind(X,$fot(double_divide(X_13,X_75))),bind(Y,$fot(X_75)),bind(X_10,$fot(X_76)),bind(X_11,$fot(X_77))]]) ).
cnf(refute_0_412,plain,
multiply(double_divide(X_13,X_75),X_75) = inverse(X_13),
inference(subst,[],[refute_0_244:[bind(X_41,$fot(X_75))]]) ).
cnf(refute_0_413,plain,
( multiply(double_divide(X_13,X_75),X_75) != inverse(X_13)
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),multiply(double_divide(X_13,X_75),X_75)),X_76) != X_77
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),multiply(double_divide(X_13,X_75),X_75)),X_76),X_77) ),[0,0,1],$fot(inverse(X_13))]]) ).
cnf(refute_0_414,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),multiply(double_divide(X_13,X_75),X_75)),X_76) != X_77
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_75),X_75),inverse(X_13)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) = X_77,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),multiply(double_divide(X_13,X_75),X_75)),X_76),X_77) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
double_divide(X_75,double_divide(X_13,X_75)) = X_13,
inference(subst,[],[refute_0_305:[bind(X_50,$fot(X_75)),bind(X_51,$fot(X_13))]]) ).
cnf(refute_0_417,plain,
double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))) = double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),
introduced(tautology,[refl,[$fot(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))]]) ).
cnf(refute_0_418,plain,
( double_divide(X_75,double_divide(X_13,X_75)) != X_13
| double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))) != double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))
| double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))) = double_divide(X_76,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_419,plain,
( double_divide(X_75,double_divide(X_13,X_75)) != X_13
| double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))) = double_divide(X_76,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))) = double_divide(X_76,X_13),
inference(resolve,[$cnf( $equal(double_divide(X_75,double_divide(X_13,X_75)),X_13) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77) = multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77))]]) ).
cnf(refute_0_422,plain,
( multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77) != multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77)
| double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))) != double_divide(X_76,X_13)
| multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77) = multiply(double_divide(X_76,X_13),X_77) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77),multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77)) ),[1,0],$fot(double_divide(X_76,X_13))]]) ).
cnf(refute_0_423,plain,
( double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))) != double_divide(X_76,X_13)
| multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77) = multiply(double_divide(X_76,X_13),X_77) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77),multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77)) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77) = multiply(double_divide(X_76,X_13),X_77),
inference(resolve,[$cnf( $equal(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),double_divide(X_76,X_13)) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))) = multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77),
inference(subst,[],[refute_0_165:[bind(X,$fot(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))),bind(Y,$fot(X_77))]]) ).
cnf(refute_0_426,plain,
( multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77) != multiply(double_divide(X_76,X_13),X_77)
| inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))) != multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77)
| inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))) = multiply(double_divide(X_76,X_13),X_77) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))))),bind(Y0,$fot(multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77))),bind(Z0,$fot(multiply(double_divide(X_76,X_13),X_77)))]]) ).
cnf(refute_0_427,plain,
( multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77) != multiply(double_divide(X_76,X_13),X_77)
| inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))) = multiply(double_divide(X_76,X_13),X_77) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))),multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))) = multiply(double_divide(X_76,X_13),X_77),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))),X_77),multiply(double_divide(X_76,X_13),X_77)) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))) = multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))),
introduced(tautology,[refl,[$fot(multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))))]]) ).
cnf(refute_0_430,plain,
( multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))) != multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))))
| inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))) != multiply(double_divide(X_76,X_13),X_77)
| multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))) = multiply(X_13,multiply(double_divide(X_76,X_13),X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))),multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))))) ),[1,1],$fot(multiply(double_divide(X_76,X_13),X_77))]]) ).
cnf(refute_0_431,plain,
( inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))) != multiply(double_divide(X_76,X_13),X_77)
| multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))) = multiply(X_13,multiply(double_divide(X_76,X_13),X_77)) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))),multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))) = multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))),multiply(double_divide(X_76,X_13),X_77)) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
( multiply(X_13,inverse(X_65)) != double_divide(X_65,inverse(X_13))
| double_divide(X_65,inverse(X_13)) = multiply(X_13,inverse(X_65)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_13,inverse(X_65)))),bind(Y0,$fot(double_divide(X_65,inverse(X_13))))]]) ).
cnf(refute_0_434,plain,
double_divide(X_65,inverse(X_13)) = multiply(X_13,inverse(X_65)),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(X_65)),double_divide(X_65,inverse(X_13))) )],[refute_0_383,refute_0_433]) ).
cnf(refute_0_435,plain,
double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)) = multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))),
inference(subst,[],[refute_0_434:[bind(X_65,$fot(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))))]]) ).
cnf(refute_0_436,plain,
( multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))) != multiply(X_13,multiply(double_divide(X_76,X_13),X_77))
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)) != multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))))
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)) = multiply(X_13,multiply(double_divide(X_76,X_13),X_77)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)))),bind(Y0,$fot(multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))))),bind(Z0,$fot(multiply(X_13,multiply(double_divide(X_76,X_13),X_77))))]]) ).
cnf(refute_0_437,plain,
( multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))) != multiply(X_13,multiply(double_divide(X_76,X_13),X_77))
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)) = multiply(X_13,multiply(double_divide(X_76,X_13),X_77)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75))))))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)) = multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))))),multiply(X_13,multiply(double_divide(X_76,X_13),X_77))) )],[refute_0_432,refute_0_437]) ).
cnf(refute_0_439,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) = multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76))]]) ).
cnf(refute_0_440,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) != multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76)
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)) != multiply(X_13,multiply(double_divide(X_76,X_13),X_77))
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) = multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76),multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76)) ),[1,0],$fot(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)))]]) ).
cnf(refute_0_441,plain,
( double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)) != multiply(X_13,multiply(double_divide(X_76,X_13),X_77))
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) = multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76),multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) = multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),multiply(X_13,multiply(double_divide(X_76,X_13),X_77))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) != X_77
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) != multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76)
| multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76),X_77) ),[0],$fot(multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76))]]) ).
cnf(refute_0_444,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76) != X_77
| multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76),multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
multiply(multiply(X_13,multiply(double_divide(X_76,X_13),X_77)),X_76) = X_77,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,double_divide(X_13,X_75)))),inverse(X_13)),X_76),X_77) )],[refute_0_415,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity) = X_80,
inference(subst,[],[refute_0_445:[bind(X_13,$fot(X_78)),bind(X_76,$fot(identity)),bind(X_77,$fot(X_80))]]) ).
cnf(refute_0_447,plain,
( multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity) != X_80
| multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity) != multiply(X_78,multiply(double_divide(identity,X_78),X_80))
| X_80 = multiply(X_78,multiply(double_divide(identity,X_78),X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity),multiply(X_78,multiply(double_divide(identity,X_78),X_80))) ),[0],$fot(X_80)]]) ).
cnf(refute_0_448,plain,
( multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity) != multiply(X_78,multiply(double_divide(identity,X_78),X_80))
| X_80 = multiply(X_78,multiply(double_divide(identity,X_78),X_80)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity),X_80) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
X_80 = multiply(X_78,multiply(double_divide(identity,X_78),X_80)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),identity),multiply(X_78,multiply(double_divide(identity,X_78),X_80))) )],[refute_0_391,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(double_divide(X_43,double_divide(identity,X_43)),double_divide(identity,X_43)) = inverse(X_43),
inference(subst,[],[refute_0_244:[bind(X_13,$fot(X_43)),bind(X_41,$fot(double_divide(identity,X_43)))]]) ).
cnf(refute_0_451,plain,
multiply(double_divide(Y,double_divide(identity,Y)),multiply(double_divide(identity,Y),Y)) = identity,
inference(subst,[],[refute_0_250:[bind(X,$fot(double_divide(identity,Y)))]]) ).
cnf(refute_0_452,plain,
multiply(double_divide(identity,X_35),multiply(X_35,identity)) = identity,
inference(subst,[],[refute_0_250:[bind(X,$fot(X_35)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_453,plain,
multiply(X_35,identity) = X_35,
inference(subst,[],[refute_0_278:[bind(X_13,$fot(X_35))]]) ).
cnf(refute_0_454,plain,
( multiply(X_35,identity) != X_35
| multiply(double_divide(identity,X_35),multiply(X_35,identity)) != identity
| multiply(double_divide(identity,X_35),X_35) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_35),multiply(X_35,identity)),identity) ),[0,1],$fot(X_35)]]) ).
cnf(refute_0_455,plain,
( multiply(double_divide(identity,X_35),multiply(X_35,identity)) != identity
| multiply(double_divide(identity,X_35),X_35) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_35,identity),X_35) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(double_divide(identity,X_35),X_35) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_35),multiply(X_35,identity)),identity) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
multiply(double_divide(identity,Y),Y) = identity,
inference(subst,[],[refute_0_456:[bind(X_35,$fot(Y))]]) ).
cnf(refute_0_458,plain,
( multiply(double_divide(Y,double_divide(identity,Y)),multiply(double_divide(identity,Y),Y)) != identity
| multiply(double_divide(identity,Y),Y) != identity
| multiply(double_divide(Y,double_divide(identity,Y)),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,double_divide(identity,Y)),multiply(double_divide(identity,Y),Y)),identity) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_459,plain,
( multiply(double_divide(Y,double_divide(identity,Y)),multiply(double_divide(identity,Y),Y)) != identity
| multiply(double_divide(Y,double_divide(identity,Y)),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,Y),Y),identity) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(double_divide(Y,double_divide(identity,Y)),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,double_divide(identity,Y)),multiply(double_divide(identity,Y),Y)),identity) )],[refute_0_451,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(double_divide(Y,double_divide(identity,Y)),identity) = double_divide(Y,double_divide(identity,Y)),
inference(subst,[],[refute_0_278:[bind(X_13,$fot(double_divide(Y,double_divide(identity,Y))))]]) ).
cnf(refute_0_462,plain,
( multiply(double_divide(Y,double_divide(identity,Y)),identity) != double_divide(Y,double_divide(identity,Y))
| multiply(double_divide(Y,double_divide(identity,Y)),identity) != identity
| double_divide(Y,double_divide(identity,Y)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(Y,double_divide(identity,Y)),identity),identity) ),[0],$fot(double_divide(Y,double_divide(identity,Y)))]]) ).
cnf(refute_0_463,plain,
( multiply(double_divide(Y,double_divide(identity,Y)),identity) != identity
| double_divide(Y,double_divide(identity,Y)) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,double_divide(identity,Y)),identity),double_divide(Y,double_divide(identity,Y))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
double_divide(Y,double_divide(identity,Y)) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(Y,double_divide(identity,Y)),identity),identity) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
double_divide(X_43,double_divide(identity,X_43)) = identity,
inference(subst,[],[refute_0_464:[bind(Y,$fot(X_43))]]) ).
cnf(refute_0_466,plain,
( multiply(double_divide(X_43,double_divide(identity,X_43)),double_divide(identity,X_43)) != inverse(X_43)
| double_divide(X_43,double_divide(identity,X_43)) != identity
| multiply(identity,double_divide(identity,X_43)) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_43,double_divide(identity,X_43)),double_divide(identity,X_43)),inverse(X_43)) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_467,plain,
( multiply(double_divide(X_43,double_divide(identity,X_43)),double_divide(identity,X_43)) != inverse(X_43)
| multiply(identity,double_divide(identity,X_43)) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(double_divide(X_43,double_divide(identity,X_43)),identity) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(identity,double_divide(identity,X_43)) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_43,double_divide(identity,X_43)),double_divide(identity,X_43)),inverse(X_43)) )],[refute_0_450,refute_0_467]) ).
cnf(refute_0_469,plain,
multiply(identity,double_divide(identity,X_43)) = double_divide(identity,X_43),
inference(subst,[],[refute_0_297:[bind(X_3,$fot(double_divide(identity,X_43)))]]) ).
cnf(refute_0_470,plain,
( multiply(identity,double_divide(identity,X_43)) != double_divide(identity,X_43)
| multiply(identity,double_divide(identity,X_43)) != inverse(X_43)
| double_divide(identity,X_43) = inverse(X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(identity,X_43)),inverse(X_43)) ),[0],$fot(double_divide(identity,X_43))]]) ).
cnf(refute_0_471,plain,
( multiply(identity,double_divide(identity,X_43)) != inverse(X_43)
| double_divide(identity,X_43) = inverse(X_43) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,X_43)),double_divide(identity,X_43)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
double_divide(identity,X_43) = inverse(X_43),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,X_43)),inverse(X_43)) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
double_divide(identity,X_78) = inverse(X_78),
inference(subst,[],[refute_0_472:[bind(X_43,$fot(X_78))]]) ).
cnf(refute_0_474,plain,
multiply(double_divide(identity,X_78),X_80) = multiply(double_divide(identity,X_78),X_80),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_78),X_80))]]) ).
cnf(refute_0_475,plain,
( multiply(double_divide(identity,X_78),X_80) != multiply(double_divide(identity,X_78),X_80)
| double_divide(identity,X_78) != inverse(X_78)
| multiply(double_divide(identity,X_78),X_80) = multiply(inverse(X_78),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_78),X_80),multiply(double_divide(identity,X_78),X_80)) ),[1,0],$fot(inverse(X_78))]]) ).
cnf(refute_0_476,plain,
( double_divide(identity,X_78) != inverse(X_78)
| multiply(double_divide(identity,X_78),X_80) = multiply(inverse(X_78),X_80) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_78),X_80),multiply(double_divide(identity,X_78),X_80)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(double_divide(identity,X_78),X_80) = multiply(inverse(X_78),X_80),
inference(resolve,[$cnf( $equal(double_divide(identity,X_78),inverse(X_78)) )],[refute_0_473,refute_0_476]) ).
cnf(refute_0_478,plain,
multiply(X_78,multiply(double_divide(identity,X_78),X_80)) = multiply(X_78,multiply(double_divide(identity,X_78),X_80)),
introduced(tautology,[refl,[$fot(multiply(X_78,multiply(double_divide(identity,X_78),X_80)))]]) ).
cnf(refute_0_479,plain,
( multiply(X_78,multiply(double_divide(identity,X_78),X_80)) != multiply(X_78,multiply(double_divide(identity,X_78),X_80))
| multiply(double_divide(identity,X_78),X_80) != multiply(inverse(X_78),X_80)
| multiply(X_78,multiply(double_divide(identity,X_78),X_80)) = multiply(X_78,multiply(inverse(X_78),X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),multiply(X_78,multiply(double_divide(identity,X_78),X_80))) ),[1,1],$fot(multiply(inverse(X_78),X_80))]]) ).
cnf(refute_0_480,plain,
( multiply(double_divide(identity,X_78),X_80) != multiply(inverse(X_78),X_80)
| multiply(X_78,multiply(double_divide(identity,X_78),X_80)) = multiply(X_78,multiply(inverse(X_78),X_80)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),multiply(X_78,multiply(double_divide(identity,X_78),X_80))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(X_78,multiply(double_divide(identity,X_78),X_80)) = multiply(X_78,multiply(inverse(X_78),X_80)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_78),X_80),multiply(inverse(X_78),X_80)) )],[refute_0_477,refute_0_480]) ).
cnf(refute_0_482,plain,
( X_80 != multiply(X_78,multiply(double_divide(identity,X_78),X_80))
| multiply(X_78,multiply(double_divide(identity,X_78),X_80)) != multiply(X_78,multiply(inverse(X_78),X_80))
| X_80 = multiply(X_78,multiply(inverse(X_78),X_80)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_80,multiply(X_78,multiply(inverse(X_78),X_80))) ),[0],$fot(multiply(X_78,multiply(double_divide(identity,X_78),X_80)))]]) ).
cnf(refute_0_483,plain,
( X_80 != multiply(X_78,multiply(double_divide(identity,X_78),X_80))
| X_80 = multiply(X_78,multiply(inverse(X_78),X_80)) ),
inference(resolve,[$cnf( $equal(multiply(X_78,multiply(double_divide(identity,X_78),X_80)),multiply(X_78,multiply(inverse(X_78),X_80))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
X_80 = multiply(X_78,multiply(inverse(X_78),X_80)),
inference(resolve,[$cnf( $equal(X_80,multiply(X_78,multiply(double_divide(identity,X_78),X_80))) )],[refute_0_449,refute_0_483]) ).
cnf(refute_0_485,plain,
X_82 = multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)),
inference(subst,[],[refute_0_484:[bind(X_78,$fot(inverse(X_13))),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_486,plain,
( X_82 != multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82))
| inverse(inverse(X_13)) != X_13
| X_82 = multiply(inverse(X_13),multiply(X_13,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(X_82,multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82))) ),[1,1,0],$fot(X_13)]]) ).
cnf(refute_0_487,plain,
( X_82 != multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82))
| X_82 = multiply(inverse(X_13),multiply(X_13,X_82)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_486]) ).
cnf(refute_0_488,plain,
X_82 = multiply(inverse(X_13),multiply(X_13,X_82)),
inference(resolve,[$cnf( $equal(X_82,multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82))) )],[refute_0_485,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(inverse(X_64),inverse(double_divide(Y,X))) = double_divide(double_divide(Y,X),X_64),
inference(subst,[],[refute_0_379:[bind(X_13,$fot(X_64)),bind(X_59,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_490,plain,
( multiply(inverse(X_64),inverse(double_divide(Y,X))) != double_divide(double_divide(Y,X),X_64)
| inverse(double_divide(Y,X)) != multiply(X,Y)
| multiply(inverse(X_64),multiply(X,Y)) = double_divide(double_divide(Y,X),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_64),inverse(double_divide(Y,X))),double_divide(double_divide(Y,X),X_64)) ),[0,1],$fot(multiply(X,Y))]]) ).
cnf(refute_0_491,plain,
( multiply(inverse(X_64),inverse(double_divide(Y,X))) != double_divide(double_divide(Y,X),X_64)
| multiply(inverse(X_64),multiply(X,Y)) = double_divide(double_divide(Y,X),X_64) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(Y,X)),multiply(X,Y)) )],[refute_0_165,refute_0_490]) ).
cnf(refute_0_492,plain,
multiply(inverse(X_64),multiply(X,Y)) = double_divide(double_divide(Y,X),X_64),
inference(resolve,[$cnf( $equal(multiply(inverse(X_64),inverse(double_divide(Y,X))),double_divide(double_divide(Y,X),X_64)) )],[refute_0_489,refute_0_491]) ).
cnf(refute_0_493,plain,
multiply(inverse(X_13),multiply(X_13,X_82)) = double_divide(double_divide(X_82,X_13),X_13),
inference(subst,[],[refute_0_492:[bind(X,$fot(X_13)),bind(Y,$fot(X_82)),bind(X_64,$fot(X_13))]]) ).
cnf(refute_0_494,plain,
( X_82 != multiply(inverse(X_13),multiply(X_13,X_82))
| multiply(inverse(X_13),multiply(X_13,X_82)) != double_divide(double_divide(X_82,X_13),X_13)
| X_82 = double_divide(double_divide(X_82,X_13),X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_82,double_divide(double_divide(X_82,X_13),X_13)) ),[0],$fot(multiply(inverse(X_13),multiply(X_13,X_82)))]]) ).
cnf(refute_0_495,plain,
( X_82 != multiply(inverse(X_13),multiply(X_13,X_82))
| X_82 = double_divide(double_divide(X_82,X_13),X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(X_13,X_82)),double_divide(double_divide(X_82,X_13),X_13)) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
X_82 = double_divide(double_divide(X_82,X_13),X_13),
inference(resolve,[$cnf( $equal(X_82,multiply(inverse(X_13),multiply(X_13,X_82))) )],[refute_0_488,refute_0_495]) ).
cnf(refute_0_497,plain,
X_84 = double_divide(double_divide(X_84,X_50),X_50),
inference(subst,[],[refute_0_496:[bind(X_13,$fot(X_50)),bind(X_82,$fot(X_84))]]) ).
cnf(refute_0_498,plain,
( X_84 != double_divide(double_divide(X_84,X_50),X_50)
| double_divide(double_divide(X_84,X_50),X_50) = X_84 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_84)),bind(Y0,$fot(double_divide(double_divide(X_84,X_50),X_50)))]]) ).
cnf(refute_0_499,plain,
double_divide(double_divide(X_84,X_50),X_50) = X_84,
inference(resolve,[$cnf( $equal(X_84,double_divide(double_divide(X_84,X_50),X_50)) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
( double_divide(X_50,double_divide(double_divide(X_84,X_50),X_50)) != double_divide(X_84,X_50)
| double_divide(double_divide(X_84,X_50),X_50) != X_84
| double_divide(X_50,X_84) = double_divide(X_84,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_50,double_divide(double_divide(X_84,X_50),X_50)),double_divide(X_84,X_50)) ),[0,1],$fot(X_84)]]) ).
cnf(refute_0_501,plain,
( double_divide(X_50,double_divide(double_divide(X_84,X_50),X_50)) != double_divide(X_84,X_50)
| double_divide(X_50,X_84) = double_divide(X_84,X_50) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_84,X_50),X_50),X_84) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
double_divide(X_50,X_84) = double_divide(X_84,X_50),
inference(resolve,[$cnf( $equal(double_divide(X_50,double_divide(double_divide(X_84,X_50),X_50)),double_divide(X_84,X_50)) )],[refute_0_390,refute_0_501]) ).
cnf(refute_0_503,plain,
( double_divide(X_50,X_84) != double_divide(X_84,X_50)
| double_divide(X_84,X_50) = double_divide(X_50,X_84) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(double_divide(X_50,X_84))),bind(Y0,$fot(double_divide(X_84,X_50)))]]) ).
cnf(refute_0_504,plain,
double_divide(X_84,X_50) = double_divide(X_50,X_84),
inference(resolve,[$cnf( $equal(double_divide(X_50,X_84),double_divide(X_84,X_50)) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
double_divide(multiply(X_68,inverse(X_53)),X_53) = double_divide(X_53,multiply(X_68,inverse(X_53))),
inference(subst,[],[refute_0_504:[bind(X_50,$fot(X_53)),bind(X_84,$fot(multiply(X_68,inverse(X_53))))]]) ).
cnf(refute_0_506,plain,
( double_divide(multiply(X_68,inverse(X_53)),X_53) != double_divide(X_53,multiply(X_68,inverse(X_53)))
| double_divide(multiply(X_68,inverse(X_53)),X_53) != inverse(X_68)
| double_divide(X_53,multiply(X_68,inverse(X_53))) = inverse(X_68) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_68,inverse(X_53)),X_53),inverse(X_68)) ),[0],$fot(double_divide(X_53,multiply(X_68,inverse(X_53))))]]) ).
cnf(refute_0_507,plain,
( double_divide(multiply(X_68,inverse(X_53)),X_53) != inverse(X_68)
| double_divide(X_53,multiply(X_68,inverse(X_53))) = inverse(X_68) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_68,inverse(X_53)),X_53),double_divide(X_53,multiply(X_68,inverse(X_53)))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
double_divide(X_53,multiply(X_68,inverse(X_53))) = inverse(X_68),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_68,inverse(X_53)),X_53),inverse(X_68)) )],[refute_0_389,refute_0_507]) ).
cnf(refute_0_509,plain,
double_divide(X_53,multiply(X_90,inverse(X_53))) = inverse(X_90),
inference(subst,[],[refute_0_508:[bind(X_68,$fot(X_90))]]) ).
cnf(refute_0_510,plain,
( multiply(X_53,double_divide(X_53,multiply(X_90,inverse(X_53)))) != inverse(multiply(X_90,inverse(X_53)))
| double_divide(X_53,multiply(X_90,inverse(X_53))) != inverse(X_90)
| multiply(X_53,inverse(X_90)) = inverse(multiply(X_90,inverse(X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,double_divide(X_53,multiply(X_90,inverse(X_53)))),inverse(multiply(X_90,inverse(X_53)))) ),[0,1],$fot(inverse(X_90))]]) ).
cnf(refute_0_511,plain,
( multiply(X_53,double_divide(X_53,multiply(X_90,inverse(X_53)))) != inverse(multiply(X_90,inverse(X_53)))
| multiply(X_53,inverse(X_90)) = inverse(multiply(X_90,inverse(X_53))) ),
inference(resolve,[$cnf( $equal(double_divide(X_53,multiply(X_90,inverse(X_53))),inverse(X_90)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(X_53,inverse(X_90)) = inverse(multiply(X_90,inverse(X_53))),
inference(resolve,[$cnf( $equal(multiply(X_53,double_divide(X_53,multiply(X_90,inverse(X_53)))),inverse(multiply(X_90,inverse(X_53)))) )],[refute_0_310,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(multiply(inverse(X_13),X_58),inverse(inverse(X_13))) = X_58,
inference(subst,[],[refute_0_374:[bind(Y,$fot(X_58)),bind(X_15,$fot(inverse(X_13)))]]) ).
cnf(refute_0_514,plain,
( multiply(multiply(inverse(X_13),X_58),inverse(inverse(X_13))) != X_58
| inverse(inverse(X_13)) != X_13
| multiply(multiply(inverse(X_13),X_58),X_13) = X_58 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_13),X_58),inverse(inverse(X_13))),X_58) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_515,plain,
( multiply(multiply(inverse(X_13),X_58),inverse(inverse(X_13))) != X_58
| multiply(multiply(inverse(X_13),X_58),X_13) = X_58 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_514]) ).
cnf(refute_0_516,plain,
multiply(multiply(inverse(X_13),X_58),X_13) = X_58,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_13),X_58),inverse(inverse(X_13))),X_58) )],[refute_0_513,refute_0_515]) ).
cnf(refute_0_517,plain,
multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_13)),X_60) = double_divide(inverse(X_60),X_13),
inference(subst,[],[refute_0_516:[bind(X_13,$fot(X_60)),bind(X_58,$fot(double_divide(inverse(X_60),X_13)))]]) ).
cnf(refute_0_518,plain,
multiply(inverse(X_60),double_divide(inverse(X_60),X_13)) = inverse(X_13),
inference(subst,[],[refute_0_309:[bind(X_53,$fot(inverse(X_60)))]]) ).
cnf(refute_0_519,plain,
( multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_13)),X_60) != double_divide(inverse(X_60),X_13)
| multiply(inverse(X_60),double_divide(inverse(X_60),X_13)) != inverse(X_13)
| multiply(inverse(X_13),X_60) = double_divide(inverse(X_60),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_13)),X_60),double_divide(inverse(X_60),X_13)) ),[0,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_520,plain,
( multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_13)),X_60) != double_divide(inverse(X_60),X_13)
| multiply(inverse(X_13),X_60) = double_divide(inverse(X_60),X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),double_divide(inverse(X_60),X_13)),inverse(X_13)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(inverse(X_13),X_60) = double_divide(inverse(X_60),X_13),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_13)),X_60),double_divide(inverse(X_60),X_13)) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
( multiply(inverse(X_13),X_60) != double_divide(inverse(X_60),X_13)
| double_divide(inverse(X_60),X_13) = multiply(inverse(X_13),X_60) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_13),X_60))),bind(Y0,$fot(double_divide(inverse(X_60),X_13)))]]) ).
cnf(refute_0_523,plain,
double_divide(inverse(X_60),X_13) = multiply(inverse(X_13),X_60),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),X_60),double_divide(inverse(X_60),X_13)) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
double_divide(inverse(X_53),X_90) = multiply(inverse(X_90),X_53),
inference(subst,[],[refute_0_523:[bind(X_13,$fot(X_90)),bind(X_60,$fot(X_53))]]) ).
cnf(refute_0_525,plain,
inverse(multiply(X_90,inverse(X_53))) = double_divide(inverse(X_53),X_90),
inference(subst,[],[refute_0_195:[bind(X,$fot(X_90)),bind(Y,$fot(inverse(X_53)))]]) ).
cnf(refute_0_526,plain,
( double_divide(inverse(X_53),X_90) != multiply(inverse(X_90),X_53)
| inverse(multiply(X_90,inverse(X_53))) != double_divide(inverse(X_53),X_90)
| inverse(multiply(X_90,inverse(X_53))) = multiply(inverse(X_90),X_53) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(multiply(X_90,inverse(X_53))))),bind(Y0,$fot(double_divide(inverse(X_53),X_90))),bind(Z0,$fot(multiply(inverse(X_90),X_53)))]]) ).
cnf(refute_0_527,plain,
( double_divide(inverse(X_53),X_90) != multiply(inverse(X_90),X_53)
| inverse(multiply(X_90,inverse(X_53))) = multiply(inverse(X_90),X_53) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,inverse(X_53))),double_divide(inverse(X_53),X_90)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
inverse(multiply(X_90,inverse(X_53))) = multiply(inverse(X_90),X_53),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_53),X_90),multiply(inverse(X_90),X_53)) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
( multiply(X_53,inverse(X_90)) != inverse(multiply(X_90,inverse(X_53)))
| inverse(multiply(X_90,inverse(X_53))) != multiply(inverse(X_90),X_53)
| multiply(X_53,inverse(X_90)) = multiply(inverse(X_90),X_53) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_53,inverse(X_90)),multiply(inverse(X_90),X_53)) ),[0],$fot(inverse(multiply(X_90,inverse(X_53))))]]) ).
cnf(refute_0_530,plain,
( multiply(X_53,inverse(X_90)) != inverse(multiply(X_90,inverse(X_53)))
| multiply(X_53,inverse(X_90)) = multiply(inverse(X_90),X_53) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_90,inverse(X_53))),multiply(inverse(X_90),X_53)) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(X_53,inverse(X_90)) = multiply(inverse(X_90),X_53),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(X_90)),inverse(multiply(X_90,inverse(X_53)))) )],[refute_0_512,refute_0_530]) ).
cnf(refute_0_532,plain,
( multiply(X_53,inverse(X_90)) != multiply(inverse(X_90),X_53)
| multiply(inverse(X_90),X_53) = multiply(X_53,inverse(X_90)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_53,inverse(X_90)))),bind(Y0,$fot(multiply(inverse(X_90),X_53)))]]) ).
cnf(refute_0_533,plain,
multiply(inverse(X_90),X_53) = multiply(X_53,inverse(X_90)),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(X_90)),multiply(inverse(X_90),X_53)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
multiply(inverse(a1),a1) = multiply(a1,inverse(a1)),
inference(subst,[],[refute_0_533:[bind(X_53,$fot(a1)),bind(X_90,$fot(a1))]]) ).
cnf(refute_0_535,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) != multiply(a1,inverse(a1))
| multiply(inverse(a1),a1) = identity ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(inverse(a1),a1))),bind(Y0,$fot(multiply(a1,inverse(a1)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_536,plain,
( multiply(a1,inverse(a1)) != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(a1,inverse(a1))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
multiply(inverse(a1),a1) = identity,
inference(resolve,[$cnf( $equal(multiply(a1,inverse(a1)),identity) )],[refute_0_135,refute_0_536]) ).
cnf(refute_0_538,plain,
( multiply(inverse(a1),a1) != identity
| identity != identity
| multiply(inverse(a1),a1) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_539,plain,
( identity != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(identity,a2) != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_539,prove_these_axioms]) ).
cnf(refute_0_541,plain,
multiply(a2,identity) = a2,
inference(subst,[],[refute_0_278:[bind(X_13,$fot(a2))]]) ).
cnf(refute_0_542,plain,
double_divide(double_divide(double_divide(X_84,X_51),X_51),double_divide(X_84,X_51)) = X_51,
inference(subst,[],[refute_0_315:[bind(X_53,$fot(double_divide(X_84,X_51)))]]) ).
cnf(refute_0_543,plain,
X_84 = double_divide(double_divide(X_84,X_51),X_51),
inference(subst,[],[refute_0_496:[bind(X_13,$fot(X_51)),bind(X_82,$fot(X_84))]]) ).
cnf(refute_0_544,plain,
( X_84 != double_divide(double_divide(X_84,X_51),X_51)
| double_divide(double_divide(X_84,X_51),X_51) = X_84 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_84)),bind(Y0,$fot(double_divide(double_divide(X_84,X_51),X_51)))]]) ).
cnf(refute_0_545,plain,
double_divide(double_divide(X_84,X_51),X_51) = X_84,
inference(resolve,[$cnf( $equal(X_84,double_divide(double_divide(X_84,X_51),X_51)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
( double_divide(double_divide(X_84,X_51),X_51) != X_84
| double_divide(double_divide(double_divide(X_84,X_51),X_51),double_divide(X_84,X_51)) != X_51
| double_divide(X_84,double_divide(X_84,X_51)) = X_51 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_84,X_51),X_51),double_divide(X_84,X_51)),X_51) ),[0,0],$fot(X_84)]]) ).
cnf(refute_0_547,plain,
( double_divide(double_divide(double_divide(X_84,X_51),X_51),double_divide(X_84,X_51)) != X_51
| double_divide(X_84,double_divide(X_84,X_51)) = X_51 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_84,X_51),X_51),X_84) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
double_divide(X_84,double_divide(X_84,X_51)) = X_51,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_84,X_51),X_51),double_divide(X_84,X_51)),X_51) )],[refute_0_542,refute_0_547]) ).
cnf(refute_0_549,plain,
double_divide(X_86,double_divide(X_86,double_divide(X_51,X_86))) = double_divide(X_51,X_86),
inference(subst,[],[refute_0_548:[bind(X_51,$fot(double_divide(X_51,X_86))),bind(X_84,$fot(X_86))]]) ).
cnf(refute_0_550,plain,
double_divide(X_86,double_divide(X_51,X_86)) = X_51,
inference(subst,[],[refute_0_305:[bind(X_50,$fot(X_86))]]) ).
cnf(refute_0_551,plain,
( double_divide(X_86,double_divide(X_51,X_86)) != X_51
| double_divide(X_86,double_divide(X_86,double_divide(X_51,X_86))) != double_divide(X_51,X_86)
| double_divide(X_86,X_51) = double_divide(X_51,X_86) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_86,double_divide(X_86,double_divide(X_51,X_86))),double_divide(X_51,X_86)) ),[0,1],$fot(X_51)]]) ).
cnf(refute_0_552,plain,
( double_divide(X_86,double_divide(X_86,double_divide(X_51,X_86))) != double_divide(X_51,X_86)
| double_divide(X_86,X_51) = double_divide(X_51,X_86) ),
inference(resolve,[$cnf( $equal(double_divide(X_86,double_divide(X_51,X_86)),X_51) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
double_divide(X_86,X_51) = double_divide(X_51,X_86),
inference(resolve,[$cnf( $equal(double_divide(X_86,double_divide(X_86,double_divide(X_51,X_86))),double_divide(X_51,X_86)) )],[refute_0_549,refute_0_552]) ).
cnf(refute_0_554,plain,
double_divide(Y,X) = double_divide(X,Y),
inference(subst,[],[refute_0_553:[bind(X_51,$fot(X)),bind(X_86,$fot(Y))]]) ).
cnf(refute_0_555,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| double_divide(Y,X) != double_divide(X,Y)
| multiply(X,Y) = inverse(double_divide(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) ),[1,0],$fot(double_divide(X,Y))]]) ).
cnf(refute_0_556,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| multiply(X,Y) = inverse(double_divide(X,Y)) ),
inference(resolve,[$cnf( $equal(double_divide(Y,X),double_divide(X,Y)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
multiply(X,Y) = inverse(double_divide(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_556]) ).
cnf(refute_0_558,plain,
inverse(double_divide(X,Y)) = multiply(Y,X),
inference(subst,[],[refute_0_165:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_559,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| inverse(double_divide(X,Y)) != multiply(Y,X)
| multiply(X,Y) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(Y,X)) ),[0],$fot(inverse(double_divide(X,Y)))]]) ).
cnf(refute_0_560,plain,
( multiply(X,Y) != inverse(double_divide(X,Y))
| multiply(X,Y) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X,Y)),multiply(Y,X)) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiply(X,Y) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(X,Y))) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_563,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
multiply(identity,a2) = multiply(a2,identity),
inference(subst,[],[refute_0_563:[bind(X,$fot(a2)),bind(Y,$fot(identity))]]) ).
cnf(refute_0_565,plain,
( multiply(a2,identity) != a2
| multiply(identity,a2) != multiply(a2,identity)
| multiply(identity,a2) = a2 ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(identity,a2))),bind(Y0,$fot(multiply(a2,identity))),bind(Z0,$fot(a2))]]) ).
cnf(refute_0_566,plain,
( multiply(a2,identity) != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),multiply(a2,identity)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
multiply(identity,a2) = a2,
inference(resolve,[$cnf( $equal(multiply(a2,identity),a2) )],[refute_0_541,refute_0_566]) ).
cnf(refute_0_568,plain,
( multiply(identity,a2) != a2
| a2 != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_569,plain,
( a2 != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_569,refute_0_540]) ).
cnf(refute_0_571,plain,
multiply(b4,a4) = multiply(a4,b4),
inference(subst,[],[refute_0_563:[bind(X,$fot(a4)),bind(Y,$fot(b4))]]) ).
cnf(refute_0_572,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b4,a4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a4,b4),multiply(b4,a4)) ),[1],$fot(multiply(a4,b4))]]) ).
cnf(refute_0_573,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(a4,b4) = multiply(b4,a4) ),
inference(resolve,[$cnf( $equal(multiply(b4,a4),multiply(a4,b4)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(a4,b4)
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(b4,a4)) )],[refute_0_573,refute_0_570]) ).
cnf(refute_0_575,plain,
multiply(multiply(X_78,multiply(double_divide(double_divide(X_78,X_51),X_78),X_80)),double_divide(X_78,X_51)) = X_80,
inference(subst,[],[refute_0_445:[bind(X_13,$fot(X_78)),bind(X_76,$fot(double_divide(X_78,X_51))),bind(X_77,$fot(X_80))]]) ).
cnf(refute_0_576,plain,
double_divide(double_divide(X_78,X_51),X_78) = X_51,
inference(subst,[],[refute_0_315:[bind(X_53,$fot(X_78))]]) ).
cnf(refute_0_577,plain,
( multiply(multiply(X_78,multiply(double_divide(double_divide(X_78,X_51),X_78),X_80)),double_divide(X_78,X_51)) != X_80
| double_divide(double_divide(X_78,X_51),X_78) != X_51
| multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)) = X_80 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_78,multiply(double_divide(double_divide(X_78,X_51),X_78),X_80)),double_divide(X_78,X_51)),X_80) ),[0,0,1,0],$fot(X_51)]]) ).
cnf(refute_0_578,plain,
( multiply(multiply(X_78,multiply(double_divide(double_divide(X_78,X_51),X_78),X_80)),double_divide(X_78,X_51)) != X_80
| multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)) = X_80 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_78,X_51),X_78),X_51) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)) = X_80,
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,multiply(double_divide(double_divide(X_78,X_51),X_78),X_80)),double_divide(X_78,X_51)),X_80) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)),X_13) = multiply(inverse(inverse(X_13)),X_82),
inference(subst,[],[refute_0_516:[bind(X_58,$fot(multiply(inverse(inverse(X_13)),X_82)))]]) ).
cnf(refute_0_581,plain,
( X_82 != multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82))
| multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)) = X_82 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_82)),bind(Y0,$fot(multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82))))]]) ).
cnf(refute_0_582,plain,
multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)) = X_82,
inference(resolve,[$cnf( $equal(X_82,multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82))) )],[refute_0_485,refute_0_581]) ).
cnf(refute_0_583,plain,
( multiply(multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)),X_13) != multiply(inverse(inverse(X_13)),X_82)
| multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)) != X_82
| multiply(X_82,X_13) = multiply(inverse(inverse(X_13)),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)),X_13),multiply(inverse(inverse(X_13)),X_82)) ),[0,0],$fot(X_82)]]) ).
cnf(refute_0_584,plain,
( multiply(multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)),X_13) != multiply(inverse(inverse(X_13)),X_82)
| multiply(X_82,X_13) = multiply(inverse(inverse(X_13)),X_82) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)),X_82) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(X_82,X_13) = multiply(inverse(inverse(X_13)),X_82),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_13),multiply(inverse(inverse(X_13)),X_82)),X_13),multiply(inverse(inverse(X_13)),X_82)) )],[refute_0_580,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(inverse(inverse(X_13)),X_82) = multiply(inverse(inverse(X_13)),X_82),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_13)),X_82))]]) ).
cnf(refute_0_587,plain,
( multiply(inverse(inverse(X_13)),X_82) != multiply(inverse(inverse(X_13)),X_82)
| inverse(inverse(X_13)) != X_13
| multiply(inverse(inverse(X_13)),X_82) = multiply(X_13,X_82) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),X_82),multiply(inverse(inverse(X_13)),X_82)) ),[1,0],$fot(X_13)]]) ).
cnf(refute_0_588,plain,
( inverse(inverse(X_13)) != X_13
| multiply(inverse(inverse(X_13)),X_82) = multiply(X_13,X_82) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),X_82),multiply(inverse(inverse(X_13)),X_82)) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(inverse(inverse(X_13)),X_82) = multiply(X_13,X_82),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_130,refute_0_588]) ).
cnf(refute_0_590,plain,
( multiply(X_82,X_13) != multiply(inverse(inverse(X_13)),X_82)
| multiply(inverse(inverse(X_13)),X_82) != multiply(X_13,X_82)
| multiply(X_82,X_13) = multiply(X_13,X_82) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_82,X_13),multiply(X_13,X_82)) ),[0],$fot(multiply(inverse(inverse(X_13)),X_82))]]) ).
cnf(refute_0_591,plain,
( multiply(X_82,X_13) != multiply(inverse(inverse(X_13)),X_82)
| multiply(X_82,X_13) = multiply(X_13,X_82) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),X_82),multiply(X_13,X_82)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(X_82,X_13) = multiply(X_13,X_82),
inference(resolve,[$cnf( $equal(multiply(X_82,X_13),multiply(inverse(inverse(X_13)),X_82)) )],[refute_0_585,refute_0_591]) ).
cnf(refute_0_593,plain,
( multiply(X_82,X_13) != multiply(X_13,X_82)
| multiply(X_13,X_82) = multiply(X_82,X_13) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_82,X_13))),bind(Y0,$fot(multiply(X_13,X_82)))]]) ).
cnf(refute_0_594,plain,
multiply(X_13,X_82) = multiply(X_82,X_13),
inference(resolve,[$cnf( $equal(multiply(X_82,X_13),multiply(X_13,X_82)) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)) = multiply(double_divide(X_78,X_51),multiply(X_78,multiply(X_51,X_80))),
inference(subst,[],[refute_0_594:[bind(X_13,$fot(multiply(X_78,multiply(X_51,X_80)))),bind(X_82,$fot(double_divide(X_78,X_51)))]]) ).
cnf(refute_0_596,plain,
( multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)) != X_80
| multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)) != multiply(double_divide(X_78,X_51),multiply(X_78,multiply(X_51,X_80)))
| multiply(double_divide(X_78,X_51),multiply(X_78,multiply(X_51,X_80))) = X_80 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)),X_80) ),[0],$fot(multiply(double_divide(X_78,X_51),multiply(X_78,multiply(X_51,X_80))))]]) ).
cnf(refute_0_597,plain,
( multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)) != X_80
| multiply(double_divide(X_78,X_51),multiply(X_78,multiply(X_51,X_80))) = X_80 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)),multiply(double_divide(X_78,X_51),multiply(X_78,multiply(X_51,X_80)))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(double_divide(X_78,X_51),multiply(X_78,multiply(X_51,X_80))) = X_80,
inference(resolve,[$cnf( $equal(multiply(multiply(X_78,multiply(X_51,X_80)),double_divide(X_78,X_51)),X_80) )],[refute_0_579,refute_0_597]) ).
cnf(refute_0_599,plain,
multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))))) = multiply(X_99,multiply(X_98,X_100)),
inference(subst,[],[refute_0_598:[bind(X_51,$fot(double_divide(X_99,X_98))),bind(X_80,$fot(multiply(X_99,multiply(X_98,X_100))))]]) ).
cnf(refute_0_600,plain,
multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))) = X_100,
inference(subst,[],[refute_0_598:[bind(X_51,$fot(X_98)),bind(X_78,$fot(X_99)),bind(X_80,$fot(X_100))]]) ).
cnf(refute_0_601,plain,
( multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))))) != multiply(X_99,multiply(X_98,X_100))
| multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))) != X_100
| multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) = multiply(X_99,multiply(X_98,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))))),multiply(X_99,multiply(X_98,X_100))) ),[0,1,1],$fot(X_100)]]) ).
cnf(refute_0_602,plain,
( multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))))) != multiply(X_99,multiply(X_98,X_100))
| multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) = multiply(X_99,multiply(X_98,X_100)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))),X_100) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) = multiply(X_99,multiply(X_98,X_100)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,X_100))))),multiply(X_99,multiply(X_98,X_100))) )],[refute_0_599,refute_0_602]) ).
cnf(refute_0_604,plain,
inverse(double_divide(X_99,X_98)) = multiply(X_98,X_99),
inference(subst,[],[refute_0_165:[bind(X,$fot(X_98)),bind(Y,$fot(X_99))]]) ).
cnf(refute_0_605,plain,
multiply(inverse(double_divide(X_99,X_98)),X_100) = multiply(inverse(double_divide(X_99,X_98)),X_100),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_99,X_98)),X_100))]]) ).
cnf(refute_0_606,plain,
( multiply(inverse(double_divide(X_99,X_98)),X_100) != multiply(inverse(double_divide(X_99,X_98)),X_100)
| inverse(double_divide(X_99,X_98)) != multiply(X_98,X_99)
| multiply(inverse(double_divide(X_99,X_98)),X_100) = multiply(multiply(X_98,X_99),X_100) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_99,X_98)),X_100),multiply(inverse(double_divide(X_99,X_98)),X_100)) ),[1,0],$fot(multiply(X_98,X_99))]]) ).
cnf(refute_0_607,plain,
( inverse(double_divide(X_99,X_98)) != multiply(X_98,X_99)
| multiply(inverse(double_divide(X_99,X_98)),X_100) = multiply(multiply(X_98,X_99),X_100) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_99,X_98)),X_100),multiply(inverse(double_divide(X_99,X_98)),X_100)) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(inverse(double_divide(X_99,X_98)),X_100) = multiply(multiply(X_98,X_99),X_100),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_99,X_98)),multiply(X_98,X_99)) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,multiply(inverse(X_98),X_80)))) = multiply(inverse(X_98),X_80),
inference(subst,[],[refute_0_598:[bind(X_51,$fot(X_98)),bind(X_78,$fot(X_99)),bind(X_80,$fot(multiply(inverse(X_98),X_80)))]]) ).
cnf(refute_0_610,plain,
X_80 = multiply(X_98,multiply(inverse(X_98),X_80)),
inference(subst,[],[refute_0_484:[bind(X_78,$fot(X_98))]]) ).
cnf(refute_0_611,plain,
( X_80 != multiply(X_98,multiply(inverse(X_98),X_80))
| multiply(X_98,multiply(inverse(X_98),X_80)) = X_80 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_80)),bind(Y0,$fot(multiply(X_98,multiply(inverse(X_98),X_80))))]]) ).
cnf(refute_0_612,plain,
multiply(X_98,multiply(inverse(X_98),X_80)) = X_80,
inference(resolve,[$cnf( $equal(X_80,multiply(X_98,multiply(inverse(X_98),X_80))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
( multiply(X_98,multiply(inverse(X_98),X_80)) != X_80
| multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,multiply(inverse(X_98),X_80)))) != multiply(inverse(X_98),X_80)
| multiply(double_divide(X_99,X_98),multiply(X_99,X_80)) = multiply(inverse(X_98),X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,multiply(inverse(X_98),X_80)))),multiply(inverse(X_98),X_80)) ),[0,1,1],$fot(X_80)]]) ).
cnf(refute_0_614,plain,
( multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,multiply(inverse(X_98),X_80)))) != multiply(inverse(X_98),X_80)
| multiply(double_divide(X_99,X_98),multiply(X_99,X_80)) = multiply(inverse(X_98),X_80) ),
inference(resolve,[$cnf( $equal(multiply(X_98,multiply(inverse(X_98),X_80)),X_80) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(double_divide(X_99,X_98),multiply(X_99,X_80)) = multiply(inverse(X_98),X_80),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_99,X_98),multiply(X_99,multiply(X_98,multiply(inverse(X_98),X_80)))),multiply(inverse(X_98),X_80)) )],[refute_0_609,refute_0_614]) ).
cnf(refute_0_616,plain,
multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) = multiply(inverse(double_divide(X_99,X_98)),X_100),
inference(subst,[],[refute_0_615:[bind(X_80,$fot(X_100)),bind(X_98,$fot(double_divide(X_99,X_98))),bind(X_99,$fot(X_78))]]) ).
cnf(refute_0_617,plain,
( multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) != multiply(inverse(double_divide(X_99,X_98)),X_100)
| multiply(inverse(double_divide(X_99,X_98)),X_100) != multiply(multiply(X_98,X_99),X_100)
| multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) = multiply(multiply(X_98,X_99),X_100) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)))),bind(Y0,$fot(multiply(inverse(double_divide(X_99,X_98)),X_100))),bind(Z0,$fot(multiply(multiply(X_98,X_99),X_100)))]]) ).
cnf(refute_0_618,plain,
( multiply(inverse(double_divide(X_99,X_98)),X_100) != multiply(multiply(X_98,X_99),X_100)
| multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) = multiply(multiply(X_98,X_99),X_100) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)),multiply(inverse(double_divide(X_99,X_98)),X_100)) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) = multiply(multiply(X_98,X_99),X_100),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_99,X_98)),X_100),multiply(multiply(X_98,X_99),X_100)) )],[refute_0_608,refute_0_618]) ).
cnf(refute_0_620,plain,
( multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) != multiply(X_99,multiply(X_98,X_100))
| multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) != multiply(multiply(X_98,X_99),X_100)
| multiply(multiply(X_98,X_99),X_100) = multiply(X_99,multiply(X_98,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)),multiply(X_99,multiply(X_98,X_100))) ),[0],$fot(multiply(multiply(X_98,X_99),X_100))]]) ).
cnf(refute_0_621,plain,
( multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)) != multiply(X_99,multiply(X_98,X_100))
| multiply(multiply(X_98,X_99),X_100) = multiply(X_99,multiply(X_98,X_100)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)),multiply(multiply(X_98,X_99),X_100)) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(multiply(X_98,X_99),X_100) = multiply(X_99,multiply(X_98,X_100)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_78,double_divide(X_99,X_98)),multiply(X_78,X_100)),multiply(X_99,multiply(X_98,X_100))) )],[refute_0_603,refute_0_621]) ).
cnf(refute_0_623,plain,
multiply(multiply(a3,b3),c3) = multiply(b3,multiply(a3,c3)),
inference(subst,[],[refute_0_622:[bind(X_100,$fot(c3)),bind(X_98,$fot(a3)),bind(X_99,$fot(b3))]]) ).
cnf(refute_0_624,plain,
( multiply(multiply(a3,b3),c3) != multiply(b3,multiply(a3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(b3,multiply(a3,c3)))]]) ).
cnf(refute_0_625,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(b3,multiply(a3,c3))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
( multiply(a4,b4) != multiply(a4,b4)
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_625,refute_0_574]) ).
cnf(refute_0_627,plain,
multiply(a4,b4) = multiply(a4,b4),
introduced(tautology,[refl,[$fot(multiply(a4,b4))]]) ).
cnf(refute_0_628,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(a4,b4),multiply(a4,b4)) )],[refute_0_627,refute_0_626]) ).
cnf(refute_0_629,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_630,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| identity != identity ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_629,refute_0_628]) ).
cnf(refute_0_631,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_632,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_631,refute_0_630]) ).
cnf(refute_0_633,plain,
multiply(X_53,double_divide(X_53,double_divide(X_126,multiply(X_53,X_127)))) = inverse(double_divide(X_126,multiply(X_53,X_127))),
inference(subst,[],[refute_0_309:[bind(X_13,$fot(double_divide(X_126,multiply(X_53,X_127))))]]) ).
cnf(refute_0_634,plain,
double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = multiply(X_78,multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))))),
inference(subst,[],[refute_0_484:[bind(X_80,$fot(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))))]]) ).
cnf(refute_0_635,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),multiply(multiply(inverse(X_75),X_58),X_75)),X_76) = X_77,
inference(subst,[],[refute_0_410:[bind(X,$fot(multiply(inverse(X_75),X_58))),bind(Y,$fot(X_75)),bind(X_10,$fot(X_76)),bind(X_11,$fot(X_77))]]) ).
cnf(refute_0_636,plain,
multiply(multiply(inverse(X_75),X_58),X_75) = X_58,
inference(subst,[],[refute_0_516:[bind(X_13,$fot(X_75))]]) ).
cnf(refute_0_637,plain,
( multiply(multiply(inverse(X_75),X_58),X_75) != X_58
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),multiply(multiply(inverse(X_75),X_58),X_75)),X_76) != X_77
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),multiply(multiply(inverse(X_75),X_58),X_75)),X_76),X_77) ),[0,0,1],$fot(X_58)]]) ).
cnf(refute_0_638,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),multiply(multiply(inverse(X_75),X_58),X_75)),X_76) != X_77
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_75),X_58),X_75),X_58) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) = X_77,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),multiply(multiply(inverse(X_75),X_58),X_75)),X_76),X_77) )],[refute_0_635,refute_0_638]) ).
cnf(refute_0_640,plain,
double_divide(X_76,inverse(X_58)) = multiply(X_58,inverse(X_76)),
inference(subst,[],[refute_0_434:[bind(X_13,$fot(X_58)),bind(X_65,$fot(X_76))]]) ).
cnf(refute_0_641,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),
inference(subst,[],[refute_0_87:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))))]]) ).
cnf(refute_0_642,plain,
double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)) = X_20,
inference(subst,[],[refute_0_87:[bind(X_10,$fot(X_19)),bind(X_11,$fot(X_20))]]) ).
cnf(refute_0_643,plain,
( double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)) != X_20
| double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) ),[0,0,1,0],$fot(X_20)]]) ).
cnf(refute_0_644,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)),X_20) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) )],[refute_0_641,refute_0_644]) ).
cnf(refute_0_646,plain,
double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)) = inverse(X_20),
inference(subst,[],[refute_0_91:[bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_647,plain,
( double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)) != double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)) != inverse(X_20)
| inverse(X_20) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) ),[0],$fot(inverse(X_20))]]) ).
cnf(refute_0_648,plain,
( double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)) != double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))
| inverse(X_20) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)),inverse(X_20)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
inverse(X_20) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_20,inverse(identity))),inverse(identity)),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) )],[refute_0_645,refute_0_648]) ).
cnf(refute_0_650,plain,
inverse(double_divide(X_20,inverse(X_19))) = multiply(inverse(X_19),X_20),
inference(subst,[],[refute_0_165:[bind(X,$fot(inverse(X_19))),bind(Y,$fot(X_20))]]) ).
cnf(refute_0_651,plain,
double_divide(double_divide(X_20,inverse(X_19)),identity) = inverse(double_divide(X_20,inverse(X_19))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(X_20,inverse(X_19))))]]) ).
cnf(refute_0_652,plain,
( double_divide(double_divide(X_20,inverse(X_19)),identity) != inverse(double_divide(X_20,inverse(X_19)))
| inverse(double_divide(X_20,inverse(X_19))) != multiply(inverse(X_19),X_20)
| double_divide(double_divide(X_20,inverse(X_19)),identity) = multiply(inverse(X_19),X_20) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_20,inverse(X_19)),identity))),bind(Y0,$fot(inverse(double_divide(X_20,inverse(X_19))))),bind(Z0,$fot(multiply(inverse(X_19),X_20)))]]) ).
cnf(refute_0_653,plain,
( inverse(double_divide(X_20,inverse(X_19))) != multiply(inverse(X_19),X_20)
| double_divide(double_divide(X_20,inverse(X_19)),identity) = multiply(inverse(X_19),X_20) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_20,inverse(X_19)),identity),inverse(double_divide(X_20,inverse(X_19)))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
double_divide(double_divide(X_20,inverse(X_19)),identity) = multiply(inverse(X_19),X_20),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_20,inverse(X_19))),multiply(inverse(X_19),X_20)) )],[refute_0_650,refute_0_653]) ).
cnf(refute_0_655,plain,
double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) = double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))]]) ).
cnf(refute_0_656,plain,
( double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) != double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) = double_divide(double_divide(X_20,inverse(X_19)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)),double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_657,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) = double_divide(double_divide(X_20,inverse(X_19)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)),double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) = double_divide(double_divide(X_20,inverse(X_19)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_115,refute_0_657]) ).
cnf(refute_0_659,plain,
( double_divide(double_divide(X_20,inverse(X_19)),identity) != multiply(inverse(X_19),X_20)
| double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) != double_divide(double_divide(X_20,inverse(X_19)),identity)
| double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) = multiply(inverse(X_19),X_20) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))),bind(Y0,$fot(double_divide(double_divide(X_20,inverse(X_19)),identity))),bind(Z0,$fot(multiply(inverse(X_19),X_20)))]]) ).
cnf(refute_0_660,plain,
( double_divide(double_divide(X_20,inverse(X_19)),identity) != multiply(inverse(X_19),X_20)
| double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) = multiply(inverse(X_19),X_20) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)),double_divide(double_divide(X_20,inverse(X_19)),identity)) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) = multiply(inverse(X_19),X_20),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_20,inverse(X_19)),identity),multiply(inverse(X_19),X_20)) )],[refute_0_654,refute_0_660]) ).
cnf(refute_0_662,plain,
double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) = double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))))]]) ).
cnf(refute_0_663,plain,
( double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) != double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))
| double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) != multiply(inverse(X_19),X_20)
| double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) = double_divide(X_19,multiply(inverse(X_19),X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) ),[1,1],$fot(multiply(inverse(X_19),X_20))]]) ).
cnf(refute_0_664,plain,
( double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)) != multiply(inverse(X_19),X_20)
| double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) = double_divide(X_19,multiply(inverse(X_19),X_20)) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) = double_divide(X_19,multiply(inverse(X_19),X_20)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)),multiply(inverse(X_19),X_20)) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
( double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))) != double_divide(X_19,multiply(inverse(X_19),X_20))
| inverse(X_20) != double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))
| inverse(X_20) = double_divide(X_19,multiply(inverse(X_19),X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_20),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) ),[1],$fot(double_divide(X_19,multiply(inverse(X_19),X_20)))]]) ).
cnf(refute_0_667,plain,
( inverse(X_20) != double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))
| inverse(X_20) = double_divide(X_19,multiply(inverse(X_19),X_20)) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity))),double_divide(X_19,multiply(inverse(X_19),X_20))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
inverse(X_20) = double_divide(X_19,multiply(inverse(X_19),X_20)),
inference(resolve,[$cnf( $equal(inverse(X_20),double_divide(X_19,double_divide(double_divide(X_20,inverse(X_19)),inverse(identity)))) )],[refute_0_649,refute_0_667]) ).
cnf(refute_0_669,plain,
( inverse(X_20) != double_divide(X_19,multiply(inverse(X_19),X_20))
| double_divide(X_19,multiply(inverse(X_19),X_20)) = inverse(X_20) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_20))),bind(Y0,$fot(double_divide(X_19,multiply(inverse(X_19),X_20))))]]) ).
cnf(refute_0_670,plain,
double_divide(X_19,multiply(inverse(X_19),X_20)) = inverse(X_20),
inference(resolve,[$cnf( $equal(inverse(X_20),double_divide(X_19,multiply(inverse(X_19),X_20))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
double_divide(X_75,multiply(inverse(X_75),X_58)) = inverse(X_58),
inference(subst,[],[refute_0_670:[bind(X_19,$fot(X_75)),bind(X_20,$fot(X_58))]]) ).
cnf(refute_0_672,plain,
double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) = double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))),
introduced(tautology,[refl,[$fot(double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))))]]) ).
cnf(refute_0_673,plain,
( double_divide(X_75,multiply(inverse(X_75),X_58)) != inverse(X_58)
| double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) != double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))
| double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) = double_divide(X_76,inverse(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))),double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) ),[1,1],$fot(inverse(X_58))]]) ).
cnf(refute_0_674,plain,
( double_divide(X_75,multiply(inverse(X_75),X_58)) != inverse(X_58)
| double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) = double_divide(X_76,inverse(X_58)) ),
inference(resolve,[$cnf( $equal(double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))),double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) = double_divide(X_76,inverse(X_58)),
inference(resolve,[$cnf( $equal(double_divide(X_75,multiply(inverse(X_75),X_58)),inverse(X_58)) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
( double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) != double_divide(X_76,inverse(X_58))
| double_divide(X_76,inverse(X_58)) != multiply(X_58,inverse(X_76))
| double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) = multiply(X_58,inverse(X_76)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))))),bind(Y0,$fot(double_divide(X_76,inverse(X_58)))),bind(Z0,$fot(multiply(X_58,inverse(X_76))))]]) ).
cnf(refute_0_677,plain,
( double_divide(X_76,inverse(X_58)) != multiply(X_58,inverse(X_76))
| double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) = multiply(X_58,inverse(X_76)) ),
inference(resolve,[$cnf( $equal(double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))),double_divide(X_76,inverse(X_58))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) = multiply(X_58,inverse(X_76)),
inference(resolve,[$cnf( $equal(double_divide(X_76,inverse(X_58)),multiply(X_58,inverse(X_76))) )],[refute_0_640,refute_0_677]) ).
cnf(refute_0_679,plain,
double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) = double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),
introduced(tautology,[refl,[$fot(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))))]]) ).
cnf(refute_0_680,plain,
( double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) != multiply(X_58,inverse(X_76))
| double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) != double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))))
| double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) = double_divide(X_77,multiply(X_58,inverse(X_76))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))))) ),[1,1],$fot(multiply(X_58,inverse(X_76)))]]) ).
cnf(refute_0_681,plain,
( double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))) != multiply(X_58,inverse(X_76))
| double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) = double_divide(X_77,multiply(X_58,inverse(X_76))) ),
inference(resolve,[$cnf( $equal(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) = double_divide(X_77,multiply(X_58,inverse(X_76))),
inference(resolve,[$cnf( $equal(double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58))),multiply(X_58,inverse(X_76))) )],[refute_0_678,refute_0_681]) ).
cnf(refute_0_683,plain,
double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58) = double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58))]]) ).
cnf(refute_0_684,plain,
( double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) != double_divide(X_77,multiply(X_58,inverse(X_76)))
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58) != double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58)
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58) = double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58)) ),[1,0],$fot(double_divide(X_77,multiply(X_58,inverse(X_76))))]]) ).
cnf(refute_0_685,plain,
( double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))) != double_divide(X_77,multiply(X_58,inverse(X_76)))
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58) = double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58)) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58) = double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),
inference(resolve,[$cnf( $equal(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),double_divide(X_77,multiply(X_58,inverse(X_76)))) )],[refute_0_682,refute_0_685]) ).
cnf(refute_0_687,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) = multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76))]]) ).
cnf(refute_0_688,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) != multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76)
| double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58) != double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) = multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76),multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76)) ),[1,0],$fot(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58))]]) ).
cnf(refute_0_689,plain,
( double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58) != double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) = multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76),multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76)) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) = multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) != X_77
| multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) != multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76)
| multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76),X_77) ),[0],$fot(multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76))]]) ).
cnf(refute_0_692,plain,
( multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76) != X_77
| multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76),multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76)) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) = X_77,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,double_divide(X_76,double_divide(X_75,multiply(inverse(X_75),X_58)))),X_58),X_76),X_77) )],[refute_0_639,refute_0_692]) ).
cnf(refute_0_694,plain,
multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) = multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)),
inference(subst,[],[refute_0_594:[bind(X_13,$fot(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58))),bind(X_82,$fot(X_76))]]) ).
cnf(refute_0_695,plain,
( multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) != X_77
| multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) != multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58))
| multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76),X_77) ),[0],$fot(multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)))]]) ).
cnf(refute_0_696,plain,
( multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76) != X_77
| multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76),multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) = X_77,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),X_76),X_77) )],[refute_0_693,refute_0_696]) ).
cnf(refute_0_698,plain,
double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58) = double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76)))),
inference(subst,[],[refute_0_504:[bind(X_50,$fot(X_58)),bind(X_84,$fot(double_divide(X_77,multiply(X_58,inverse(X_76)))))]]) ).
cnf(refute_0_699,plain,
multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) = multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)),
introduced(tautology,[refl,[$fot(multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)))]]) ).
cnf(refute_0_700,plain,
( multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) != multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58))
| double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58) != double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))
| multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) = multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)),multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58))) ),[1,1],$fot(double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76)))))]]) ).
cnf(refute_0_701,plain,
( double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58) != double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))
| multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) = multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))) ),
inference(resolve,[$cnf( $equal(multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)),multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) = multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58),double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))) )],[refute_0_698,refute_0_701]) ).
cnf(refute_0_703,plain,
( multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) != X_77
| multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) != multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76)))))
| multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)),X_77) ),[0],$fot(multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))))]]) ).
cnf(refute_0_704,plain,
( multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)) != X_77
| multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)),multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76)))))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
multiply(X_76,double_divide(X_58,double_divide(X_77,multiply(X_58,inverse(X_76))))) = X_77,
inference(resolve,[$cnf( $equal(multiply(X_76,double_divide(double_divide(X_77,multiply(X_58,inverse(X_76))),X_58)),X_77) )],[refute_0_697,refute_0_704]) ).
cnf(refute_0_706,plain,
multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))) = X_105,
inference(subst,[],[refute_0_705:[bind(X_58,$fot(X_103)),bind(X_76,$fot(inverse(X_78))),bind(X_77,$fot(X_105))]]) ).
cnf(refute_0_707,plain,
( multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))) != X_105
| double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) != multiply(X_78,multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))))
| double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = multiply(X_78,X_105) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),multiply(X_78,multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))))) ),[1,1],$fot(X_105)]]) ).
cnf(refute_0_708,plain,
( double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) != multiply(X_78,multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))))
| double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = multiply(X_78,X_105) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))),X_105) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = multiply(X_78,X_105),
inference(resolve,[$cnf( $equal(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),multiply(X_78,multiply(inverse(X_78),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))))) )],[refute_0_634,refute_0_708]) ).
cnf(refute_0_710,plain,
inverse(inverse(X_78)) = X_78,
inference(subst,[],[refute_0_130:[bind(X_13,$fot(X_78))]]) ).
cnf(refute_0_711,plain,
multiply(X_103,inverse(inverse(X_78))) = multiply(X_103,inverse(inverse(X_78))),
introduced(tautology,[refl,[$fot(multiply(X_103,inverse(inverse(X_78))))]]) ).
cnf(refute_0_712,plain,
( multiply(X_103,inverse(inverse(X_78))) != multiply(X_103,inverse(inverse(X_78)))
| inverse(inverse(X_78)) != X_78
| multiply(X_103,inverse(inverse(X_78))) = multiply(X_103,X_78) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,inverse(inverse(X_78))),multiply(X_103,inverse(inverse(X_78)))) ),[1,1],$fot(X_78)]]) ).
cnf(refute_0_713,plain,
( inverse(inverse(X_78)) != X_78
| multiply(X_103,inverse(inverse(X_78))) = multiply(X_103,X_78) ),
inference(resolve,[$cnf( $equal(multiply(X_103,inverse(inverse(X_78))),multiply(X_103,inverse(inverse(X_78)))) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
multiply(X_103,inverse(inverse(X_78))) = multiply(X_103,X_78),
inference(resolve,[$cnf( $equal(inverse(inverse(X_78)),X_78) )],[refute_0_710,refute_0_713]) ).
cnf(refute_0_715,plain,
double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))) = double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))),
introduced(tautology,[refl,[$fot(double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))]]) ).
cnf(refute_0_716,plain,
( multiply(X_103,inverse(inverse(X_78))) != multiply(X_103,X_78)
| double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))) != double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))
| double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))) = double_divide(X_105,multiply(X_103,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))),double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) ),[1,1],$fot(multiply(X_103,X_78))]]) ).
cnf(refute_0_717,plain,
( multiply(X_103,inverse(inverse(X_78))) != multiply(X_103,X_78)
| double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))) = double_divide(X_105,multiply(X_103,X_78)) ),
inference(resolve,[$cnf( $equal(double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))),double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))) = double_divide(X_105,multiply(X_103,X_78)),
inference(resolve,[$cnf( $equal(multiply(X_103,inverse(inverse(X_78))),multiply(X_103,X_78)) )],[refute_0_714,refute_0_717]) ).
cnf(refute_0_719,plain,
double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),
introduced(tautology,[refl,[$fot(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))))]]) ).
cnf(refute_0_720,plain,
( double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) != double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))
| double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))) != double_divide(X_105,multiply(X_103,X_78))
| double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = double_divide(X_103,double_divide(X_105,multiply(X_103,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))) ),[1,1],$fot(double_divide(X_105,multiply(X_103,X_78)))]]) ).
cnf(refute_0_721,plain,
( double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))) != double_divide(X_105,multiply(X_103,X_78))
| double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = double_divide(X_103,double_divide(X_105,multiply(X_103,X_78))) ),
inference(resolve,[$cnf( $equal(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) = double_divide(X_103,double_divide(X_105,multiply(X_103,X_78))),
inference(resolve,[$cnf( $equal(double_divide(X_105,multiply(X_103,inverse(inverse(X_78)))),double_divide(X_105,multiply(X_103,X_78))) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
( double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) != multiply(X_78,X_105)
| double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) != double_divide(X_103,double_divide(X_105,multiply(X_103,X_78)))
| double_divide(X_103,double_divide(X_105,multiply(X_103,X_78))) = multiply(X_78,X_105) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),multiply(X_78,X_105)) ),[0],$fot(double_divide(X_103,double_divide(X_105,multiply(X_103,X_78))))]]) ).
cnf(refute_0_724,plain,
( double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))) != multiply(X_78,X_105)
| double_divide(X_103,double_divide(X_105,multiply(X_103,X_78))) = multiply(X_78,X_105) ),
inference(resolve,[$cnf( $equal(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),double_divide(X_103,double_divide(X_105,multiply(X_103,X_78)))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
double_divide(X_103,double_divide(X_105,multiply(X_103,X_78))) = multiply(X_78,X_105),
inference(resolve,[$cnf( $equal(double_divide(X_103,double_divide(X_105,multiply(X_103,inverse(inverse(X_78))))),multiply(X_78,X_105)) )],[refute_0_709,refute_0_724]) ).
cnf(refute_0_726,plain,
double_divide(X_53,double_divide(X_126,multiply(X_53,X_127))) = multiply(X_127,X_126),
inference(subst,[],[refute_0_725:[bind(X_103,$fot(X_53)),bind(X_105,$fot(X_126)),bind(X_78,$fot(X_127))]]) ).
cnf(refute_0_727,plain,
( multiply(X_53,double_divide(X_53,double_divide(X_126,multiply(X_53,X_127)))) != inverse(double_divide(X_126,multiply(X_53,X_127)))
| double_divide(X_53,double_divide(X_126,multiply(X_53,X_127))) != multiply(X_127,X_126)
| multiply(X_53,multiply(X_127,X_126)) = inverse(double_divide(X_126,multiply(X_53,X_127))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_53,double_divide(X_53,double_divide(X_126,multiply(X_53,X_127)))),inverse(double_divide(X_126,multiply(X_53,X_127)))) ),[0,1],$fot(multiply(X_127,X_126))]]) ).
cnf(refute_0_728,plain,
( multiply(X_53,double_divide(X_53,double_divide(X_126,multiply(X_53,X_127)))) != inverse(double_divide(X_126,multiply(X_53,X_127)))
| multiply(X_53,multiply(X_127,X_126)) = inverse(double_divide(X_126,multiply(X_53,X_127))) ),
inference(resolve,[$cnf( $equal(double_divide(X_53,double_divide(X_126,multiply(X_53,X_127))),multiply(X_127,X_126)) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
multiply(X_53,multiply(X_127,X_126)) = inverse(double_divide(X_126,multiply(X_53,X_127))),
inference(resolve,[$cnf( $equal(multiply(X_53,double_divide(X_53,double_divide(X_126,multiply(X_53,X_127)))),inverse(double_divide(X_126,multiply(X_53,X_127)))) )],[refute_0_633,refute_0_728]) ).
cnf(refute_0_730,plain,
multiply(multiply(X_53,X_127),X_126) = multiply(X_127,multiply(X_53,X_126)),
inference(subst,[],[refute_0_622:[bind(X_100,$fot(X_126)),bind(X_98,$fot(X_53)),bind(X_99,$fot(X_127))]]) ).
cnf(refute_0_731,plain,
inverse(double_divide(X_126,multiply(X_53,X_127))) = multiply(multiply(X_53,X_127),X_126),
inference(subst,[],[refute_0_165:[bind(X,$fot(multiply(X_53,X_127))),bind(Y,$fot(X_126))]]) ).
cnf(refute_0_732,plain,
( multiply(multiply(X_53,X_127),X_126) != multiply(X_127,multiply(X_53,X_126))
| inverse(double_divide(X_126,multiply(X_53,X_127))) != multiply(multiply(X_53,X_127),X_126)
| inverse(double_divide(X_126,multiply(X_53,X_127))) = multiply(X_127,multiply(X_53,X_126)) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(inverse(double_divide(X_126,multiply(X_53,X_127))))),bind(Y0,$fot(multiply(multiply(X_53,X_127),X_126))),bind(Z0,$fot(multiply(X_127,multiply(X_53,X_126))))]]) ).
cnf(refute_0_733,plain,
( multiply(multiply(X_53,X_127),X_126) != multiply(X_127,multiply(X_53,X_126))
| inverse(double_divide(X_126,multiply(X_53,X_127))) = multiply(X_127,multiply(X_53,X_126)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_126,multiply(X_53,X_127))),multiply(multiply(X_53,X_127),X_126)) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
inverse(double_divide(X_126,multiply(X_53,X_127))) = multiply(X_127,multiply(X_53,X_126)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_53,X_127),X_126),multiply(X_127,multiply(X_53,X_126))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
( multiply(X_53,multiply(X_127,X_126)) != inverse(double_divide(X_126,multiply(X_53,X_127)))
| inverse(double_divide(X_126,multiply(X_53,X_127))) != multiply(X_127,multiply(X_53,X_126))
| multiply(X_53,multiply(X_127,X_126)) = multiply(X_127,multiply(X_53,X_126)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_53,multiply(X_127,X_126)),multiply(X_127,multiply(X_53,X_126))) ),[0],$fot(inverse(double_divide(X_126,multiply(X_53,X_127))))]]) ).
cnf(refute_0_736,plain,
( multiply(X_53,multiply(X_127,X_126)) != inverse(double_divide(X_126,multiply(X_53,X_127)))
| multiply(X_53,multiply(X_127,X_126)) = multiply(X_127,multiply(X_53,X_126)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_126,multiply(X_53,X_127))),multiply(X_127,multiply(X_53,X_126))) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
multiply(X_53,multiply(X_127,X_126)) = multiply(X_127,multiply(X_53,X_126)),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(X_127,X_126)),inverse(double_divide(X_126,multiply(X_53,X_127)))) )],[refute_0_729,refute_0_736]) ).
cnf(refute_0_738,plain,
( multiply(X_53,multiply(X_127,X_126)) != multiply(X_127,multiply(X_53,X_126))
| multiply(X_127,multiply(X_53,X_126)) = multiply(X_53,multiply(X_127,X_126)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_53,multiply(X_127,X_126)))),bind(Y0,$fot(multiply(X_127,multiply(X_53,X_126))))]]) ).
cnf(refute_0_739,plain,
multiply(X_127,multiply(X_53,X_126)) = multiply(X_53,multiply(X_127,X_126)),
inference(resolve,[$cnf( $equal(multiply(X_53,multiply(X_127,X_126)),multiply(X_127,multiply(X_53,X_126))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_739:[bind(X_126,$fot(c3)),bind(X_127,$fot(b3)),bind(X_53,$fot(a3))]]) ).
cnf(refute_0_741,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_742,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_742,refute_0_632]) ).
cnf(refute_0_744,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_745,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_744,refute_0_743]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : GRP100-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.03/0.10 % Command : metis --show proof --show saturation %s
% 0.10/0.31 % Computer : n023.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Tue Jun 14 11:56:20 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.10/0.32 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.55
% 0.17/0.55 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.49/0.65
%------------------------------------------------------------------------------