TSTP Solution File: GRP584-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:38 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 122
% Number of leaves : 258
% Syntax : Number of clauses : 948 ( 466 unt; 0 nHn; 482 RR)
% Number of literals : 1661 (1660 equ; 715 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 1329 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ).
cnf(multiply,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity) ).
cnf(inverse,axiom,
inverse(A) = double_divide(A,identity) ).
cnf(identity,axiom,
identity = double_divide(A,inverse(A)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_6,plain,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)))]]) ).
cnf(refute_0_7,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_8,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),C) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)))]]) ).
cnf(refute_0_11,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),C) )],[single_axiom,refute_0_11]) ).
cnf(refute_0_13,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_12:[bind(A,$fot(X_10)),bind(B,$fot(inverse(identity))),bind(C,$fot(X_12))]]) ).
cnf(refute_0_14,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_15,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_16,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != X_12
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),X_12) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_18,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,inverse(identity)),double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),X_12) )],[refute_0_13,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_21,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| double_divide(double_divide(B,A),identity) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),inverse(double_divide(B,A))) ),[0],$fot(double_divide(double_divide(B,A),identity))]]) ).
cnf(refute_0_22,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| multiply(A,B) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),identity),inverse(double_divide(B,A))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_22]) ).
cnf(refute_0_24,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_25,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(subst,[],[refute_0_25:[bind(A,$fot(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_27,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))))]]) ).
cnf(refute_0_28,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_29,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_28]) ).
cnf(refute_0_30,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))
| inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))))),bind(Z,$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)))]]) ).
cnf(refute_0_31,plain,
( inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_26,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_12:[bind(A,$fot(inverse(X_11))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_34,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_35,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_36,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( double_divide(X_11,inverse(X_11)) != identity
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_38,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)),X_12) )],[refute_0_33,refute_0_38]) ).
cnf(refute_0_40,plain,
double_divide(X_12,identity) = inverse(X_12),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_41,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))]]) ).
cnf(refute_0_42,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),double_divide(X_12,identity))
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) ),[1,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_43,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))))]]) ).
cnf(refute_0_46,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))) ),[1,1],$fot(double_divide(double_divide(identity,X_11),inverse(X_12)))]]) ).
cnf(refute_0_47,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),inverse(X_12))) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)))]]) ).
cnf(refute_0_50,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))))]]) ).
cnf(refute_0_51,plain,
( double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),X_12) ),[0],$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_54,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),X_12) )],[refute_0_39,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_55:[bind(X_11,$fot(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity))))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_57,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_12:[bind(A,$fot(X_10)),bind(B,$fot(identity)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_58,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) ),[0,0,1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_59,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) )],[refute_0_57,refute_0_59]) ).
cnf(refute_0_61,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) = X_19,
inference(subst,[],[refute_0_60:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_19))]]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) != X_19
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(X_19)]]) ).
cnf(refute_0_63,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)),X_19) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity))),inverse(identity)),identity) )],[refute_0_56,refute_0_63]) ).
cnf(refute_0_65,plain,
double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(X_19,double_divide(identity,identity)))]]) ).
cnf(refute_0_66,plain,
( double_divide(X_19,double_divide(identity,identity)) != double_divide(X_19,double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_19,double_divide(identity,identity)),double_divide(X_19,double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_67,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,double_divide(identity,identity)),double_divide(X_19,double_divide(identity,identity))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
double_divide(X_19,double_divide(identity,identity)) = double_divide(X_19,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_67]) ).
cnf(refute_0_69,plain,
multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)))]]) ).
cnf(refute_0_70,plain,
( multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) != multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))
| double_divide(X_19,double_divide(identity,identity)) != double_divide(X_19,inverse(identity))
| multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_19,inverse(identity)))]]) ).
cnf(refute_0_71,plain,
( double_divide(X_19,double_divide(identity,identity)) != double_divide(X_19,inverse(identity))
| multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_19,double_divide(identity,identity)),double_divide(X_19,inverse(identity))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),
inference(subst,[],[refute_0_25:[bind(A,$fot(double_divide(X_19,double_divide(identity,identity)))),bind(B,$fot(inverse(identity)))]]) ).
cnf(refute_0_74,plain,
( multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) != multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))))),bind(Y,$fot(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)))),bind(Z,$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity))))]]) ).
cnf(refute_0_75,plain,
( multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,double_divide(identity,identity)),inverse(identity)),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19))]]) ).
cnf(refute_0_78,plain,
( double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) != double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19)
| inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19)) ),[1,0],$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_79,plain,
( inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)))]]) ).
cnf(refute_0_82,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity))
| double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) != double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity))) ),[1,0],$fot(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19))]]) ).
cnf(refute_0_83,plain,
( double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19) != double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))
| double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != identity
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),identity) ),[0],$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))]]) ).
cnf(refute_0_86,plain,
( double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)) != identity
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),X_19),inverse(identity)),identity) )],[refute_0_64,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(identity)),inverse(identity)) = identity,
inference(subst,[],[refute_0_87:[bind(X_19,$fot(inverse(identity)))]]) ).
cnf(refute_0_89,plain,
multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))),
inference(subst,[],[refute_0_23:[bind(A,$fot(double_divide(inverse(identity),inverse(identity)))),bind(B,$fot(inverse(identity)))]]) ).
cnf(refute_0_90,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) != X_19
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,inverse(identity)))),inverse(identity)) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)),X_19) ),[0,0,1,1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_91,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)) != X_19
| double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,inverse(identity)))),inverse(identity)) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,inverse(identity)))),inverse(identity)) = X_19,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_19,double_divide(identity,identity)))),inverse(identity)),X_19) )],[refute_0_61,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))),inverse(identity)) = identity,
inference(subst,[],[refute_0_92:[bind(X_19,$fot(identity))]]) ).
cnf(refute_0_94,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))),inverse(identity)) != identity
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))),inverse(identity)),identity) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_95,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))),inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_16,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))),inverse(identity)),identity) )],[refute_0_93,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
inference(subst,[],[refute_0_92:[bind(X_19,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))))]]) ).
cnf(refute_0_98,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) = X_14,
inference(subst,[],[refute_0_55:[bind(X_11,$fot(identity)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_99,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)),X_14) ),[0,0,1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_100,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[0,0,1,1],$fot(X_14)]]) ).
cnf(refute_0_103,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_97,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)))),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),
inference(subst,[],[refute_0_92:[bind(X_19,$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity))))))]]) ).
cnf(refute_0_106,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)) = X_20,
inference(subst,[],[refute_0_92:[bind(X_19,$fot(X_20))]]) ).
cnf(refute_0_107,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)) != X_20
| double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)))),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_20)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)))),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity))))) ),[0,0,1,1],$fot(X_20)]]) ).
cnf(refute_0_108,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)))),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_20)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)),X_20) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_20)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity)))),inverse(identity)))),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(X_20,inverse(identity))))) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),
inference(subst,[],[refute_0_109:[bind(X_20,$fot(X_14))]]) ).
cnf(refute_0_111,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[0],$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))))]]) ).
cnf(refute_0_112,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity))))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_14)),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_104,refute_0_112]) ).
cnf(refute_0_114,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))),
inference(subst,[],[refute_0_113:[bind(X_14,$fot(identity))]]) ).
cnf(refute_0_115,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))),
inference(subst,[],[refute_0_109:[bind(X_20,$fot(identity))]]) ).
cnf(refute_0_116,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) != double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity))))
| double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))
| double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)))),bind(Y,$fot(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))))),bind(Z,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))))]]) ).
cnf(refute_0_117,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))
| double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity))))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(identity,inverse(identity)))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))
| double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),identity) ),[0],$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))]]) ).
cnf(refute_0_120,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity)))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),identity)),inverse(identity)),identity) )],[refute_0_96,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != inverse(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) != identity
| multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_123,plain,
( multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != inverse(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))
| multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))),identity) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))) )],[refute_0_89,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != inverse(identity)
| double_divide(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(identity)),inverse(identity)) != identity
| double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(identity)),inverse(identity)),identity) ),[0,0,0],$fot(inverse(identity))]]) ).
cnf(refute_0_126,plain,
( double_divide(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(identity)),inverse(identity)) != identity
| double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(identity)),inverse(identity)),identity) )],[refute_0_88,refute_0_126]) ).
cnf(refute_0_128,plain,
double_divide(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_19:[bind(X_10,$fot(inverse(identity))),bind(X_12,$fot(inverse(identity)))]]) ).
cnf(refute_0_129,plain,
( double_divide(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))),inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))) != identity
| double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))),inverse(identity)),inverse(identity)) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_130,plain,
( double_divide(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))),identity) )],[refute_0_121,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,double_divide(inverse(identity),double_divide(inverse(identity),inverse(identity))))),inverse(identity)),inverse(identity)) )],[refute_0_128,refute_0_130]) ).
cnf(refute_0_132,plain,
double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(identity,identity)))]]) ).
cnf(refute_0_133,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(inverse(identity),double_divide(identity,identity)) != double_divide(inverse(identity),double_divide(identity,identity))
| double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,identity)),double_divide(inverse(identity),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_134,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,identity)),double_divide(inverse(identity),double_divide(identity,identity))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(inverse(identity),double_divide(identity,identity)) = double_divide(inverse(identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_134]) ).
cnf(refute_0_136,plain,
double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)))]]) ).
cnf(refute_0_137,plain,
( double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity))
| double_divide(inverse(identity),double_divide(identity,identity)) != double_divide(inverse(identity),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(double_divide(inverse(identity),inverse(identity)))]]) ).
cnf(refute_0_138,plain,
( double_divide(inverse(identity),double_divide(identity,identity)) != double_divide(inverse(identity),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(identity,identity)),double_divide(inverse(identity),inverse(identity))) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
( double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) != double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) != inverse(identity)
| double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)),inverse(identity)) ),[0],$fot(double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_141,plain,
( double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)) != inverse(identity)
| double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(identity,identity)),inverse(identity)),inverse(identity)) )],[refute_0_131,refute_0_141]) ).
cnf(refute_0_143,plain,
( double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != identity
| double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != inverse(identity)
| inverse(identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_144,plain,
( double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != identity
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),identity) )],[refute_0_127,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))]]) ).
cnf(refute_0_147,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_148,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(inverse(identity),X_10) = double_divide(inverse(identity),X_10),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),X_10))]]) ).
cnf(refute_0_151,plain,
( double_divide(inverse(identity),X_10) != double_divide(inverse(identity),X_10)
| inverse(identity) != identity
| double_divide(inverse(identity),X_10) = double_divide(identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),X_10),double_divide(inverse(identity),X_10)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_152,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),X_10) = double_divide(identity,X_10) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_10),double_divide(inverse(identity),X_10)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(inverse(identity),X_10) = double_divide(identity,X_10),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(X_12,double_divide(inverse(identity),X_10)) = double_divide(X_12,double_divide(inverse(identity),X_10)),
introduced(tautology,[refl,[$fot(double_divide(X_12,double_divide(inverse(identity),X_10)))]]) ).
cnf(refute_0_155,plain,
( double_divide(X_12,double_divide(inverse(identity),X_10)) != double_divide(X_12,double_divide(inverse(identity),X_10))
| double_divide(inverse(identity),X_10) != double_divide(identity,X_10)
| double_divide(X_12,double_divide(inverse(identity),X_10)) = double_divide(X_12,double_divide(identity,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_12,double_divide(inverse(identity),X_10)),double_divide(X_12,double_divide(inverse(identity),X_10))) ),[1,1],$fot(double_divide(identity,X_10))]]) ).
cnf(refute_0_156,plain,
( double_divide(inverse(identity),X_10) != double_divide(identity,X_10)
| double_divide(X_12,double_divide(inverse(identity),X_10)) = double_divide(X_12,double_divide(identity,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(identity),X_10)),double_divide(X_12,double_divide(inverse(identity),X_10))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(X_12,double_divide(inverse(identity),X_10)) = double_divide(X_12,double_divide(identity,X_10)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_10),double_divide(identity,X_10)) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))]]) ).
cnf(refute_0_159,plain,
( double_divide(X_12,double_divide(inverse(identity),X_10)) != double_divide(X_12,double_divide(identity,X_10))
| double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) != double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))
| double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))),double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) ),[1,1],$fot(double_divide(X_12,double_divide(identity,X_10)))]]) ).
cnf(refute_0_160,plain,
( double_divide(X_12,double_divide(inverse(identity),X_10)) != double_divide(X_12,double_divide(identity,X_10))
| double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))),double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) = double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),
inference(resolve,[$cnf( $equal(double_divide(X_12,double_divide(inverse(identity),X_10)),double_divide(X_12,double_divide(identity,X_10))) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))))]]) ).
cnf(refute_0_163,plain,
( double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))
| double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) != double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))
| double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) ),[1,1],$fot(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))]]) ).
cnf(refute_0_164,plain,
( double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))) != double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))
| double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10))),double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))]]) ).
cnf(refute_0_167,plain,
( double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))]]) ).
cnf(refute_0_168,plain,
( double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)))]]) ).
cnf(refute_0_171,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)) )],[refute_0_149,refute_0_171]) ).
cnf(refute_0_173,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity))),bind(Z,$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)))]]) ).
cnf(refute_0_174,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_32,refute_0_174]) ).
cnf(refute_0_176,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10))]]) ).
cnf(refute_0_177,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)) != X_12
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(inverse(identity),X_10)))),inverse(identity)),X_12) )],[refute_0_19,refute_0_177]) ).
cnf(refute_0_179,plain,
double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) = double_divide(identity,X_13),
inference(subst,[],[refute_0_55:[bind(X_11,$fot(X_13)),bind(X_12,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_180,plain,
identity = double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_181,plain,
( identity != double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))
| double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))))]]) ).
cnf(refute_0_182,plain,
double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) != identity
| double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)),double_divide(identity,X_13)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_184,plain,
( double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),identity) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_179,refute_0_184]) ).
cnf(refute_0_186,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_187,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(double_divide(inverse(X_13),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_13),identity),inverse(identity)))]]) ).
cnf(refute_0_188,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(double_divide(inverse(X_13),identity),inverse(identity))
| double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(double_divide(inverse(X_13),identity),inverse(identity))) ),[1,0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_189,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(double_divide(inverse(X_13),identity),inverse(identity))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(identity,X_13)) ),[0],$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))]]) ).
cnf(refute_0_192,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(identity,X_13)
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_185,refute_0_192]) ).
cnf(refute_0_194,plain,
double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)) = double_divide(identity,double_divide(B,A)),
inference(subst,[],[refute_0_193:[bind(X_13,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_195,plain,
( double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)) != double_divide(identity,double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(identity,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)),double_divide(identity,double_divide(B,A))) ),[0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_196,plain,
( double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)) != double_divide(identity,double_divide(B,A))
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(identity,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_25,refute_0_195]) ).
cnf(refute_0_197,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(identity,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)),double_divide(identity,double_divide(B,A))) )],[refute_0_194,refute_0_196]) ).
cnf(refute_0_198,plain,
double_divide(inverse(multiply(A,B)),identity) = inverse(inverse(multiply(A,B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_199,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(multiply(A,B)),inverse(identity)))]]) ).
cnf(refute_0_200,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(inverse(multiply(A,B)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_201,plain,
( inverse(identity) != identity
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),inverse(identity))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_201]) ).
cnf(refute_0_203,plain,
( double_divide(inverse(multiply(A,B)),identity) != inverse(inverse(multiply(A,B)))
| double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(inverse(multiply(A,B)),identity)
| double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(inverse(multiply(A,B)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(multiply(A,B)),identity))),bind(Z,$fot(inverse(inverse(multiply(A,B)))))]]) ).
cnf(refute_0_204,plain,
( double_divide(inverse(multiply(A,B)),identity) != inverse(inverse(multiply(A,B)))
| double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),identity)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),identity),inverse(inverse(multiply(A,B)))) )],[refute_0_198,refute_0_204]) ).
cnf(refute_0_206,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(identity,double_divide(B,A))
| double_divide(inverse(multiply(A,B)),inverse(identity)) != inverse(inverse(multiply(A,B)))
| inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(identity,double_divide(B,A))) ),[0],$fot(inverse(inverse(multiply(A,B))))]]) ).
cnf(refute_0_207,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(identity,double_divide(B,A))
| inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),inverse(inverse(multiply(A,B)))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(identity,double_divide(B,A))) )],[refute_0_197,refute_0_207]) ).
cnf(refute_0_209,plain,
( inverse(inverse(multiply(A,B))) != double_divide(identity,double_divide(B,A))
| double_divide(identity,double_divide(B,A)) = inverse(inverse(multiply(A,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(multiply(A,B))))),bind(Y,$fot(double_divide(identity,double_divide(B,A))))]]) ).
cnf(refute_0_210,plain,
double_divide(identity,double_divide(B,A)) = inverse(inverse(multiply(A,B))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(A,B))),double_divide(identity,double_divide(B,A))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))),
inference(subst,[],[refute_0_210:[bind(A,$fot(double_divide(identity,X_10))),bind(B,$fot(X_12))]]) ).
cnf(refute_0_212,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10))]]) ).
cnf(refute_0_213,plain,
( multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) ),[1,0],$fot(inverse(inverse(multiply(double_divide(identity,X_10),X_12))))]]) ).
cnf(refute_0_214,plain,
( double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
( multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != X_12
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),X_12) ),[0],$fot(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10))]]) ).
cnf(refute_0_217,plain,
( multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != X_12
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),X_12) )],[refute_0_178,refute_0_217]) ).
cnf(refute_0_219,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_12:[bind(A,$fot(identity)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_220,plain,
inverse(X_11) = double_divide(X_11,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_221,plain,
( inverse(X_11) != double_divide(X_11,identity)
| double_divide(X_11,identity) = inverse(X_11) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(double_divide(X_11,identity)))]]) ).
cnf(refute_0_222,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_11,identity)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_224,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)),X_12) )],[refute_0_219,refute_0_224]) ).
cnf(refute_0_226,plain,
inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))),bind(B,$fot(identity))]]) ).
cnf(refute_0_227,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) = inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))))]]) ).
cnf(refute_0_228,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) != inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))))
| inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))) != multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity))),bind(Y,$fot(inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))))),bind(Z,$fot(multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)))]]) ).
cnf(refute_0_229,plain,
( inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))) != multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity),inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))))),multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)))]]) ).
cnf(refute_0_232,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_233,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_233]) ).
cnf(refute_0_235,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) != multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)))]]) ).
cnf(refute_0_236,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity) != multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity)) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),identity),multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)) )],[refute_0_230,refute_0_236]) ).
cnf(refute_0_238,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)
| multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity))]]) ).
cnf(refute_0_239,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != X_12
| multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11))),identity) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),X_12) )],[refute_0_225,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(double_divide(double_divide(identity,inverse(X_14)),double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14)))),identity) = multiply(double_divide(identity,X_14),identity),
inference(subst,[],[refute_0_240:[bind(X_11,$fot(inverse(X_14))),bind(X_12,$fot(multiply(double_divide(identity,X_14),identity)))]]) ).
cnf(refute_0_242,plain,
inverse(double_divide(multiply(inverse(X_19),identity),X_19)) = multiply(X_19,multiply(inverse(X_19),identity)),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_19)),bind(B,$fot(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_243,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = inverse(double_divide(multiply(inverse(X_19),identity),X_19)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(multiply(inverse(X_19),identity),X_19)))]]) ).
cnf(refute_0_244,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) != inverse(double_divide(multiply(inverse(X_19),identity),X_19))
| inverse(double_divide(multiply(inverse(X_19),identity),X_19)) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity))),bind(Y,$fot(inverse(double_divide(multiply(inverse(X_19),identity),X_19)))),bind(Z,$fot(multiply(X_19,multiply(inverse(X_19),identity))))]]) ).
cnf(refute_0_245,plain,
( inverse(double_divide(multiply(inverse(X_19),identity),X_19)) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),inverse(double_divide(multiply(inverse(X_19),identity),X_19))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) = multiply(X_19,multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(inverse(X_19),identity),X_19)),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)))]]) ).
cnf(refute_0_248,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_249,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_19),inverse(identity)))]]) ).
cnf(refute_0_252,plain,
( multiply(inverse(X_19),inverse(identity)) != multiply(inverse(X_19),inverse(identity))
| inverse(identity) != identity
| multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_19),inverse(identity)),multiply(inverse(X_19),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_253,plain,
( inverse(identity) != identity
| multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),inverse(identity)),multiply(inverse(X_19),inverse(identity))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(inverse(X_19),inverse(identity)) = multiply(inverse(X_19),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_253]) ).
cnf(refute_0_255,plain,
double_divide(X_19,identity) = inverse(X_19),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_19))]]) ).
cnf(refute_0_256,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_19,inverse(identity)))]]) ).
cnf(refute_0_257,plain,
( double_divide(X_19,inverse(identity)) != double_divide(X_19,inverse(identity))
| inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_258,plain,
( inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_258]) ).
cnf(refute_0_260,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) != double_divide(X_19,identity)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(X_19,inverse(identity)))),bind(Y,$fot(double_divide(X_19,identity))),bind(Z,$fot(inverse(X_19)))]]) ).
cnf(refute_0_261,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,identity)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
double_divide(X_19,inverse(identity)) = inverse(X_19),
inference(resolve,[$cnf( $equal(double_divide(X_19,identity),inverse(X_19)) )],[refute_0_255,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(double_divide(X_19,inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_264,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(double_divide(X_19,inverse(identity)),inverse(identity))
| double_divide(X_19,inverse(identity)) != inverse(X_19)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) ),[1,0],$fot(inverse(X_19))]]) ).
cnf(refute_0_265,plain,
( double_divide(X_19,inverse(identity)) != inverse(X_19)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(double_divide(X_19,inverse(identity)),inverse(identity))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),inverse(X_19)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(inverse(X_19),inverse(identity))
| multiply(inverse(X_19),inverse(identity)) != multiply(inverse(X_19),identity)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(double_divide(X_19,inverse(identity)),inverse(identity)))),bind(Y,$fot(multiply(inverse(X_19),inverse(identity)))),bind(Z,$fot(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_268,plain,
( multiply(inverse(X_19),inverse(identity)) != multiply(inverse(X_19),identity)
| multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(inverse(X_19),inverse(identity))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(double_divide(X_19,inverse(identity)),inverse(identity)) = multiply(inverse(X_19),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),inverse(identity)),multiply(inverse(X_19),identity)) )],[refute_0_254,refute_0_268]) ).
cnf(refute_0_270,plain,
double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19))]]) ).
cnf(refute_0_271,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(inverse(X_19),identity)
| double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) != double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)
| double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(inverse(X_19),identity),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)) ),[1,0],$fot(multiply(inverse(X_19),identity))]]) ).
cnf(refute_0_272,plain,
( multiply(double_divide(X_19,inverse(identity)),inverse(identity)) != multiply(inverse(X_19),identity)
| double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(inverse(X_19),identity),X_19) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) = double_divide(multiply(inverse(X_19),identity),X_19),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),multiply(inverse(X_19),identity)) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))]]) ).
cnf(refute_0_275,plain,
( double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) != double_divide(multiply(inverse(X_19),identity),X_19)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))) ),[1,0],$fot(double_divide(multiply(inverse(X_19),identity),X_19))]]) ).
cnf(refute_0_276,plain,
( double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19) != double_divide(multiply(inverse(X_19),identity),X_19)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),double_divide(multiply(inverse(X_19),identity),X_19)) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)))]]) ).
cnf(refute_0_279,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)) )],[refute_0_250,refute_0_279]) ).
cnf(refute_0_281,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)
| double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity))),bind(Z,$fot(multiply(X_19,multiply(inverse(X_19),identity))))]]) ).
cnf(refute_0_282,plain,
( double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = multiply(X_19,multiply(inverse(X_19),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) = multiply(X_19,multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_19),identity),X_19),identity),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_246,refute_0_282]) ).
cnf(refute_0_284,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != multiply(X_19,multiply(inverse(X_19),identity))
| double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != identity
| multiply(X_19,multiply(inverse(X_19),identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),identity) ),[0],$fot(multiply(X_19,multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_285,plain,
( double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)) != identity
| multiply(X_19,multiply(inverse(X_19),identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(X_19,multiply(inverse(X_19),identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(double_divide(X_19,inverse(identity)),inverse(identity)),X_19),inverse(identity)),identity) )],[refute_0_87,refute_0_285]) ).
cnf(refute_0_287,plain,
double_divide(inverse(inverse(X_13)),identity) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_288,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))]]) ).
cnf(refute_0_289,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_290,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_290]) ).
cnf(refute_0_292,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),identity)
| double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(X_13)),identity))),bind(Z,$fot(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_293,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),identity)) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) )],[refute_0_287,refute_0_293]) ).
cnf(refute_0_295,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(identity,X_13)
| double_divide(inverse(inverse(X_13)),inverse(identity)) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(X_13))) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(identity,X_13)) ),[0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_296,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(identity,X_13)
| inverse(inverse(inverse(X_13))) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),inverse(inverse(inverse(X_13)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
inverse(inverse(inverse(X_13))) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_193,refute_0_296]) ).
cnf(refute_0_298,plain,
inverse(inverse(inverse(inverse(inverse(X_27))))) = double_divide(identity,inverse(inverse(X_27))),
inference(subst,[],[refute_0_297:[bind(X_13,$fot(inverse(inverse(X_27))))]]) ).
cnf(refute_0_299,plain,
inverse(inverse(inverse(X_27))) = double_divide(identity,X_27),
inference(subst,[],[refute_0_297:[bind(X_13,$fot(X_27))]]) ).
cnf(refute_0_300,plain,
( inverse(inverse(inverse(X_27))) != double_divide(identity,X_27)
| inverse(inverse(inverse(inverse(inverse(X_27))))) != double_divide(identity,inverse(inverse(X_27)))
| inverse(inverse(double_divide(identity,X_27))) = double_divide(identity,inverse(inverse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_27))))),double_divide(identity,inverse(inverse(X_27)))) ),[0,0,0],$fot(double_divide(identity,X_27))]]) ).
cnf(refute_0_301,plain,
( inverse(inverse(inverse(inverse(inverse(X_27))))) != double_divide(identity,inverse(inverse(X_27)))
| inverse(inverse(double_divide(identity,X_27))) = double_divide(identity,inverse(inverse(X_27))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_27))),double_divide(identity,X_27)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
inverse(inverse(double_divide(identity,X_27))) = double_divide(identity,inverse(inverse(X_27))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_27))))),double_divide(identity,inverse(inverse(X_27)))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(double_divide(identity,X_27)) = multiply(X_27,identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_27)),bind(B,$fot(identity))]]) ).
cnf(refute_0_304,plain,
inverse(inverse(double_divide(identity,X_27))) = inverse(inverse(double_divide(identity,X_27))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,X_27))))]]) ).
cnf(refute_0_305,plain,
( inverse(double_divide(identity,X_27)) != multiply(X_27,identity)
| inverse(inverse(double_divide(identity,X_27))) != inverse(inverse(double_divide(identity,X_27)))
| inverse(inverse(double_divide(identity,X_27))) = inverse(multiply(X_27,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,X_27))),inverse(inverse(double_divide(identity,X_27)))) ),[1,0],$fot(multiply(X_27,identity))]]) ).
cnf(refute_0_306,plain,
( inverse(double_divide(identity,X_27)) != multiply(X_27,identity)
| inverse(inverse(double_divide(identity,X_27))) = inverse(multiply(X_27,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_27))),inverse(inverse(double_divide(identity,X_27)))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
inverse(inverse(double_divide(identity,X_27))) = inverse(multiply(X_27,identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_27)),multiply(X_27,identity)) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
( inverse(inverse(double_divide(identity,X_27))) != double_divide(identity,inverse(inverse(X_27)))
| inverse(inverse(double_divide(identity,X_27))) != inverse(multiply(X_27,identity))
| inverse(multiply(X_27,identity)) = double_divide(identity,inverse(inverse(X_27))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,X_27))),double_divide(identity,inverse(inverse(X_27)))) ),[0],$fot(inverse(multiply(X_27,identity)))]]) ).
cnf(refute_0_309,plain,
( inverse(inverse(double_divide(identity,X_27))) != double_divide(identity,inverse(inverse(X_27)))
| inverse(multiply(X_27,identity)) = double_divide(identity,inverse(inverse(X_27))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_27))),inverse(multiply(X_27,identity))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(inverse(inverse(X_15)),inverse(identity))),
inference(subst,[],[refute_0_23:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_311,plain,
double_divide(inverse(inverse(X_15)),inverse(identity)) = double_divide(identity,X_15),
inference(subst,[],[refute_0_193:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_312,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))
| double_divide(inverse(inverse(X_15)),inverse(identity)) != double_divide(identity,X_15)
| multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))) ),[1,0],$fot(double_divide(identity,X_15))]]) ).
cnf(refute_0_313,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))
| multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_15)),inverse(identity)),double_divide(identity,X_15)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
inverse(double_divide(identity,X_15)) = multiply(X_15,identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_15)),bind(B,$fot(identity))]]) ).
cnf(refute_0_316,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(identity,X_15))
| inverse(double_divide(identity,X_15)) != multiply(X_15,identity)
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) ),[0],$fot(inverse(double_divide(identity,X_15)))]]) ).
cnf(refute_0_317,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(identity,X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_15)),multiply(X_15,identity)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(identity,X_15))) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
inverse(inverse(inverse(inverse(X_15)))) = double_divide(identity,inverse(X_15)),
inference(subst,[],[refute_0_297:[bind(X_13,$fot(inverse(X_15)))]]) ).
cnf(refute_0_320,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_23:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_321,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_322,plain,
( inverse(X_3) != double_divide(X_3,identity)
| double_divide(X_3,identity) = inverse(X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(double_divide(X_3,identity)))]]) ).
cnf(refute_0_323,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_325,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_320,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(identity,inverse(inverse(X_15))) = inverse(inverse(inverse(inverse(X_15)))),
inference(subst,[],[refute_0_326:[bind(X_3,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_328,plain,
( multiply(identity,inverse(inverse(X_15))) != inverse(inverse(inverse(inverse(X_15))))
| inverse(inverse(inverse(inverse(X_15)))) != double_divide(identity,inverse(X_15))
| multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(identity,inverse(inverse(X_15))))),bind(Y,$fot(inverse(inverse(inverse(inverse(X_15)))))),bind(Z,$fot(double_divide(identity,inverse(X_15))))]]) ).
cnf(refute_0_329,plain,
( inverse(inverse(inverse(inverse(X_15)))) != double_divide(identity,inverse(X_15))
| multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_15))),inverse(inverse(inverse(inverse(X_15))))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_15)))),double_divide(identity,inverse(X_15))) )],[refute_0_319,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(inverse(identity),inverse(inverse(X_15))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(inverse(X_15))))]]) ).
cnf(refute_0_332,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(inverse(identity),inverse(inverse(X_15)))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(inverse(identity),inverse(inverse(X_15)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_333,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(inverse(identity),inverse(inverse(X_15)))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_333]) ).
cnf(refute_0_335,plain,
( multiply(identity,inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) != multiply(identity,inverse(inverse(X_15)))
| multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(inverse(identity),inverse(inverse(X_15))))),bind(Y,$fot(multiply(identity,inverse(inverse(X_15))))),bind(Z,$fot(double_divide(identity,inverse(X_15))))]]) ).
cnf(refute_0_336,plain,
( multiply(identity,inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(identity,inverse(inverse(X_15)))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_15))),double_divide(identity,inverse(X_15))) )],[refute_0_330,refute_0_336]) ).
cnf(refute_0_338,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(X_15,identity)
| multiply(inverse(identity),inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| double_divide(identity,inverse(X_15)) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) ),[0],$fot(double_divide(identity,inverse(X_15)))]]) ).
cnf(refute_0_339,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(X_15,identity)
| double_divide(identity,inverse(X_15)) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),double_divide(identity,inverse(X_15))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
double_divide(identity,inverse(X_15)) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) )],[refute_0_318,refute_0_339]) ).
cnf(refute_0_341,plain,
double_divide(identity,inverse(inverse(X_27))) = multiply(inverse(X_27),identity),
inference(subst,[],[refute_0_340:[bind(X_15,$fot(inverse(X_27)))]]) ).
cnf(refute_0_342,plain,
( double_divide(identity,inverse(inverse(X_27))) != multiply(inverse(X_27),identity)
| inverse(multiply(X_27,identity)) != double_divide(identity,inverse(inverse(X_27)))
| inverse(multiply(X_27,identity)) = multiply(inverse(X_27),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_27,identity)),double_divide(identity,inverse(inverse(X_27)))) ),[1],$fot(multiply(inverse(X_27),identity))]]) ).
cnf(refute_0_343,plain,
( inverse(multiply(X_27,identity)) != double_divide(identity,inverse(inverse(X_27)))
| inverse(multiply(X_27,identity)) = multiply(inverse(X_27),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_27))),multiply(inverse(X_27),identity)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
( inverse(inverse(double_divide(identity,X_27))) != double_divide(identity,inverse(inverse(X_27)))
| inverse(multiply(X_27,identity)) = multiply(inverse(X_27),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,identity)),double_divide(identity,inverse(inverse(X_27)))) )],[refute_0_309,refute_0_343]) ).
cnf(refute_0_345,plain,
inverse(multiply(X_27,identity)) = multiply(inverse(X_27),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_27))),double_divide(identity,inverse(inverse(X_27)))) )],[refute_0_302,refute_0_344]) ).
cnf(refute_0_346,plain,
( inverse(multiply(X_27,identity)) != multiply(inverse(X_27),identity)
| multiply(inverse(X_27),identity) = inverse(multiply(X_27,identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_27,identity)))),bind(Y,$fot(multiply(inverse(X_27),identity)))]]) ).
cnf(refute_0_347,plain,
multiply(inverse(X_27),identity) = inverse(multiply(X_27,identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_27,identity)),multiply(inverse(X_27),identity)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
multiply(inverse(X_19),identity) = inverse(multiply(X_19,identity)),
inference(subst,[],[refute_0_347:[bind(X_27,$fot(X_19))]]) ).
cnf(refute_0_349,plain,
multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,multiply(inverse(X_19),identity)),
introduced(tautology,[refl,[$fot(multiply(X_19,multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_350,plain,
( multiply(X_19,multiply(inverse(X_19),identity)) != multiply(X_19,multiply(inverse(X_19),identity))
| multiply(inverse(X_19),identity) != inverse(multiply(X_19,identity))
| multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,inverse(multiply(X_19,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),multiply(X_19,multiply(inverse(X_19),identity))) ),[1,1],$fot(inverse(multiply(X_19,identity)))]]) ).
cnf(refute_0_351,plain,
( multiply(inverse(X_19),identity) != inverse(multiply(X_19,identity))
| multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,inverse(multiply(X_19,identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),multiply(X_19,multiply(inverse(X_19),identity))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
multiply(X_19,multiply(inverse(X_19),identity)) = multiply(X_19,inverse(multiply(X_19,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_19),identity),inverse(multiply(X_19,identity))) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( multiply(X_19,multiply(inverse(X_19),identity)) != multiply(X_19,inverse(multiply(X_19,identity)))
| multiply(X_19,multiply(inverse(X_19),identity)) != identity
| multiply(X_19,inverse(multiply(X_19,identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),identity) ),[0],$fot(multiply(X_19,inverse(multiply(X_19,identity))))]]) ).
cnf(refute_0_354,plain,
( multiply(X_19,multiply(inverse(X_19),identity)) != identity
| multiply(X_19,inverse(multiply(X_19,identity))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),multiply(X_19,inverse(multiply(X_19,identity)))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(X_19,inverse(multiply(X_19,identity))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_19,multiply(inverse(X_19),identity)),identity) )],[refute_0_286,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(double_divide(identity,X_30),inverse(multiply(double_divide(identity,X_30),identity))) = identity,
inference(subst,[],[refute_0_355:[bind(X_19,$fot(double_divide(identity,X_30)))]]) ).
cnf(refute_0_357,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,double_divide(inverse(identity),identity)))),inverse(identity)) = X_22,
inference(subst,[],[refute_0_19:[bind(X_10,$fot(identity)),bind(X_12,$fot(X_22))]]) ).
cnf(refute_0_358,plain,
inverse(inverse(identity)) = double_divide(inverse(identity),identity),
inference(subst,[],[inverse:[bind(A,$fot(inverse(identity)))]]) ).
cnf(refute_0_359,plain,
( inverse(inverse(identity)) != double_divide(inverse(identity),identity)
| double_divide(inverse(identity),identity) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(double_divide(inverse(identity),identity)))]]) ).
cnf(refute_0_360,plain,
double_divide(inverse(identity),identity) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(inverse(identity),identity)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,double_divide(inverse(identity),identity)))),inverse(identity)) != X_22
| double_divide(inverse(identity),identity) != inverse(inverse(identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,double_divide(inverse(identity),identity)))),inverse(identity)),X_22) ),[0,0,1,1,1],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_362,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,double_divide(inverse(identity),identity)))),inverse(identity)) != X_22
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = X_22 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),identity),inverse(inverse(identity))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = X_22,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,double_divide(inverse(identity),identity)))),inverse(identity)),X_22) )],[refute_0_357,refute_0_362]) ).
cnf(refute_0_364,plain,
double_divide(multiply(double_divide(identity,X_22),identity),identity) = inverse(multiply(double_divide(identity,X_22),identity)),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(double_divide(identity,X_22),identity)))]]) ).
cnf(refute_0_365,plain,
double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)))]]) ).
cnf(refute_0_366,plain,
( double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity))
| inverse(identity) != identity
| double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_367,plain,
( inverse(identity) != identity
| double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_14),inverse(identity)))]]) ).
cnf(refute_0_370,plain,
( multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),inverse(identity))
| inverse(identity) != identity
| multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_371,plain,
( inverse(identity) != identity
| multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),inverse(identity))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(inverse(X_14),inverse(identity)) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_371]) ).
cnf(refute_0_373,plain,
double_divide(X_14,identity) = inverse(X_14),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_374,plain,
double_divide(X_14,inverse(identity)) = double_divide(X_14,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_14,inverse(identity)))]]) ).
cnf(refute_0_375,plain,
( double_divide(X_14,inverse(identity)) != double_divide(X_14,inverse(identity))
| inverse(identity) != identity
| double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_376,plain,
( inverse(identity) != identity
| double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
double_divide(X_14,inverse(identity)) = double_divide(X_14,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_376]) ).
cnf(refute_0_378,plain,
( double_divide(X_14,identity) != inverse(X_14)
| double_divide(X_14,inverse(identity)) != double_divide(X_14,identity)
| double_divide(X_14,inverse(identity)) = inverse(X_14) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(X_14,inverse(identity)))),bind(Y,$fot(double_divide(X_14,identity))),bind(Z,$fot(inverse(X_14)))]]) ).
cnf(refute_0_379,plain,
( double_divide(X_14,identity) != inverse(X_14)
| double_divide(X_14,inverse(identity)) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,identity)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
double_divide(X_14,inverse(identity)) = inverse(X_14),
inference(resolve,[$cnf( $equal(double_divide(X_14,identity),inverse(X_14)) )],[refute_0_373,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(double_divide(X_14,inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_382,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(double_divide(X_14,inverse(identity)),inverse(identity))
| double_divide(X_14,inverse(identity)) != inverse(X_14)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(double_divide(X_14,inverse(identity)),inverse(identity))) ),[1,0],$fot(inverse(X_14))]]) ).
cnf(refute_0_383,plain,
( double_divide(X_14,inverse(identity)) != inverse(X_14)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(double_divide(X_14,inverse(identity)),inverse(identity))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),inverse(X_14)) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(inverse(X_14),inverse(identity))
| multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),identity)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),bind(Y,$fot(multiply(inverse(X_14),inverse(identity)))),bind(Z,$fot(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_386,plain,
( multiply(inverse(X_14),inverse(identity)) != multiply(inverse(X_14),identity)
| multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(inverse(X_14),inverse(identity))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(double_divide(X_14,inverse(identity)),inverse(identity)) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),inverse(identity)),multiply(inverse(X_14),identity)) )],[refute_0_372,refute_0_386]) ).
cnf(refute_0_388,plain,
inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))]]) ).
cnf(refute_0_389,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(inverse(X_14),identity)
| inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) != inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))
| inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(inverse(X_14),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) ),[1,0],$fot(multiply(inverse(X_14),identity))]]) ).
cnf(refute_0_390,plain,
( multiply(double_divide(X_14,inverse(identity)),inverse(identity)) != multiply(inverse(X_14),identity)
| inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(inverse(X_14),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) = inverse(multiply(inverse(X_14),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_14,inverse(identity)),inverse(identity)),multiply(inverse(X_14),identity)) )],[refute_0_387,refute_0_390]) ).
cnf(refute_0_392,plain,
inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))))]]) ).
cnf(refute_0_393,plain,
( inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) != inverse(multiply(inverse(X_14),identity))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) != inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))) ),[1,0],$fot(inverse(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_394,plain,
( inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))) != inverse(multiply(inverse(X_14),identity))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))),inverse(multiply(inverse(X_14),identity))) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),
inference(subst,[],[refute_0_210:[bind(A,$fot(double_divide(X_14,inverse(identity)))),bind(B,$fot(inverse(identity)))]]) ).
cnf(refute_0_397,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))
| inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) != inverse(inverse(multiply(inverse(X_14),identity)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))))),bind(Y,$fot(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))))),bind(Z,$fot(inverse(inverse(multiply(inverse(X_14),identity)))))]]) ).
cnf(refute_0_398,plain,
( inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))) != inverse(inverse(multiply(inverse(X_14),identity)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity))))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) = inverse(inverse(multiply(inverse(X_14),identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_14,inverse(identity)),inverse(identity)))),inverse(inverse(multiply(inverse(X_14),identity)))) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != inverse(inverse(multiply(inverse(X_14),identity)))
| inverse(inverse(multiply(inverse(X_14),identity))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[0],$fot(inverse(inverse(multiply(inverse(X_14),identity))))]]) ).
cnf(refute_0_401,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),inverse(inverse(multiply(inverse(X_14),identity)))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(inverse(identity),inverse(inverse(double_divide(B,A)))) = multiply(double_divide(B,A),identity),
inference(subst,[],[refute_0_318:[bind(X_15,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_403,plain,
( multiply(inverse(identity),inverse(inverse(double_divide(B,A)))) != multiply(double_divide(B,A),identity)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(identity),inverse(multiply(A,B))) = multiply(double_divide(B,A),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(double_divide(B,A)))),multiply(double_divide(B,A),identity)) ),[0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_404,plain,
( multiply(inverse(identity),inverse(inverse(double_divide(B,A)))) != multiply(double_divide(B,A),identity)
| multiply(inverse(identity),inverse(multiply(A,B))) = multiply(double_divide(B,A),identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_25,refute_0_403]) ).
cnf(refute_0_405,plain,
multiply(inverse(identity),inverse(multiply(A,B))) = multiply(double_divide(B,A),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(double_divide(B,A)))),multiply(double_divide(B,A),identity)) )],[refute_0_402,refute_0_404]) ).
cnf(refute_0_406,plain,
inverse(inverse(inverse(multiply(A,B)))) = double_divide(identity,multiply(A,B)),
inference(subst,[],[refute_0_297:[bind(X_13,$fot(multiply(A,B)))]]) ).
cnf(refute_0_407,plain,
multiply(identity,inverse(multiply(A,B))) = inverse(inverse(inverse(multiply(A,B)))),
inference(subst,[],[refute_0_326:[bind(X_3,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_408,plain,
( multiply(identity,inverse(multiply(A,B))) != inverse(inverse(inverse(multiply(A,B))))
| inverse(inverse(inverse(multiply(A,B)))) != double_divide(identity,multiply(A,B))
| multiply(identity,inverse(multiply(A,B))) = double_divide(identity,multiply(A,B)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(identity,inverse(multiply(A,B))))),bind(Y,$fot(inverse(inverse(inverse(multiply(A,B)))))),bind(Z,$fot(double_divide(identity,multiply(A,B))))]]) ).
cnf(refute_0_409,plain,
( inverse(inverse(inverse(multiply(A,B)))) != double_divide(identity,multiply(A,B))
| multiply(identity,inverse(multiply(A,B))) = double_divide(identity,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(multiply(A,B))),inverse(inverse(inverse(multiply(A,B))))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
multiply(identity,inverse(multiply(A,B))) = double_divide(identity,multiply(A,B)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(A,B)))),double_divide(identity,multiply(A,B))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(inverse(identity),inverse(multiply(A,B))) = multiply(inverse(identity),inverse(multiply(A,B))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(multiply(A,B))))]]) ).
cnf(refute_0_412,plain,
( multiply(inverse(identity),inverse(multiply(A,B))) != multiply(inverse(identity),inverse(multiply(A,B)))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(multiply(A,B))) = multiply(identity,inverse(multiply(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(A,B))),multiply(inverse(identity),inverse(multiply(A,B)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_413,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(multiply(A,B))) = multiply(identity,inverse(multiply(A,B))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(A,B))),multiply(inverse(identity),inverse(multiply(A,B)))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(inverse(identity),inverse(multiply(A,B))) = multiply(identity,inverse(multiply(A,B))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_413]) ).
cnf(refute_0_415,plain,
( multiply(identity,inverse(multiply(A,B))) != double_divide(identity,multiply(A,B))
| multiply(inverse(identity),inverse(multiply(A,B))) != multiply(identity,inverse(multiply(A,B)))
| multiply(inverse(identity),inverse(multiply(A,B))) = double_divide(identity,multiply(A,B)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(inverse(identity),inverse(multiply(A,B))))),bind(Y,$fot(multiply(identity,inverse(multiply(A,B))))),bind(Z,$fot(double_divide(identity,multiply(A,B))))]]) ).
cnf(refute_0_416,plain,
( multiply(identity,inverse(multiply(A,B))) != double_divide(identity,multiply(A,B))
| multiply(inverse(identity),inverse(multiply(A,B))) = double_divide(identity,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(A,B))),multiply(identity,inverse(multiply(A,B)))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(inverse(identity),inverse(multiply(A,B))) = double_divide(identity,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(multiply(A,B))),double_divide(identity,multiply(A,B))) )],[refute_0_410,refute_0_416]) ).
cnf(refute_0_418,plain,
( multiply(inverse(identity),inverse(multiply(A,B))) != multiply(double_divide(B,A),identity)
| multiply(inverse(identity),inverse(multiply(A,B))) != double_divide(identity,multiply(A,B))
| double_divide(identity,multiply(A,B)) = multiply(double_divide(B,A),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(A,B))),multiply(double_divide(B,A),identity)) ),[0],$fot(double_divide(identity,multiply(A,B)))]]) ).
cnf(refute_0_419,plain,
( multiply(inverse(identity),inverse(multiply(A,B))) != multiply(double_divide(B,A),identity)
| double_divide(identity,multiply(A,B)) = multiply(double_divide(B,A),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(A,B))),double_divide(identity,multiply(A,B))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
double_divide(identity,multiply(A,B)) = multiply(double_divide(B,A),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(multiply(A,B))),multiply(double_divide(B,A),identity)) )],[refute_0_405,refute_0_419]) ).
cnf(refute_0_421,plain,
double_divide(identity,multiply(X_14,identity)) = multiply(double_divide(identity,X_14),identity),
inference(subst,[],[refute_0_420:[bind(A,$fot(X_14)),bind(B,$fot(identity))]]) ).
cnf(refute_0_422,plain,
double_divide(identity,inverse(X_14)) = multiply(X_14,identity),
inference(subst,[],[refute_0_340:[bind(X_15,$fot(X_14))]]) ).
cnf(refute_0_423,plain,
double_divide(inverse(identity),inverse(X_14)) = double_divide(inverse(identity),inverse(X_14)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),inverse(X_14)))]]) ).
cnf(refute_0_424,plain,
( double_divide(inverse(identity),inverse(X_14)) != double_divide(inverse(identity),inverse(X_14))
| inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_425,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_425]) ).
cnf(refute_0_427,plain,
( double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(inverse(identity),inverse(X_14)) = multiply(X_14,identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(inverse(identity),inverse(X_14)))),bind(Y,$fot(double_divide(identity,inverse(X_14)))),bind(Z,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_428,plain,
( double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| double_divide(inverse(identity),inverse(X_14)) = multiply(X_14,identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(identity,inverse(X_14))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
double_divide(inverse(identity),inverse(X_14)) = multiply(X_14,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),multiply(X_14,identity)) )],[refute_0_422,refute_0_428]) ).
cnf(refute_0_430,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))]]) ).
cnf(refute_0_431,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),inverse(X_14)) != multiply(X_14,identity)
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) ),[1,1],$fot(multiply(X_14,identity))]]) ).
cnf(refute_0_432,plain,
( double_divide(inverse(identity),inverse(X_14)) != multiply(X_14,identity)
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),multiply(X_14,identity)) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))]]) ).
cnf(refute_0_435,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_436,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_436]) ).
cnf(refute_0_438,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,multiply(X_14,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))),bind(Y,$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))),bind(Z,$fot(double_divide(identity,multiply(X_14,identity))))]]) ).
cnf(refute_0_439,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,multiply(X_14,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,multiply(X_14,identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,multiply(X_14,identity))) )],[refute_0_433,refute_0_439]) ).
cnf(refute_0_441,plain,
( double_divide(identity,multiply(X_14,identity)) != multiply(double_divide(identity,X_14),identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,multiply(X_14,identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = multiply(double_divide(identity,X_14),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))),bind(Y,$fot(double_divide(identity,multiply(X_14,identity)))),bind(Z,$fot(multiply(double_divide(identity,X_14),identity)))]]) ).
cnf(refute_0_442,plain,
( double_divide(identity,multiply(X_14,identity)) != multiply(double_divide(identity,X_14),identity)
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,multiply(X_14,identity))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = multiply(double_divide(identity,X_14),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_14,identity)),multiply(double_divide(identity,X_14),identity)) )],[refute_0_421,refute_0_442]) ).
cnf(refute_0_444,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != multiply(double_divide(identity,X_14),identity)
| inverse(inverse(multiply(inverse(X_14),identity))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_14),identity))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[1],$fot(multiply(double_divide(identity,X_14),identity))]]) ).
cnf(refute_0_445,plain,
( inverse(inverse(multiply(inverse(X_14),identity))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),multiply(double_divide(identity,X_14),identity)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
( double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_14),identity))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_401,refute_0_445]) ).
cnf(refute_0_447,plain,
inverse(inverse(multiply(inverse(X_14),identity))) = multiply(double_divide(identity,X_14),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),double_divide(X_14,inverse(identity)))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_113,refute_0_446]) ).
cnf(refute_0_448,plain,
inverse(inverse(multiply(inverse(X_22),identity))) = multiply(double_divide(identity,X_22),identity),
inference(subst,[],[refute_0_447:[bind(X_14,$fot(X_22))]]) ).
cnf(refute_0_449,plain,
double_divide(X_22,identity) = inverse(X_22),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_22))]]) ).
cnf(refute_0_450,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_451,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_452,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_452]) ).
cnf(refute_0_454,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_455,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_455]) ).
cnf(refute_0_457,plain,
double_divide(X_22,inverse(inverse(identity))) = double_divide(X_22,inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(X_22,inverse(inverse(identity))))]]) ).
cnf(refute_0_458,plain,
( double_divide(X_22,inverse(inverse(identity))) != double_divide(X_22,inverse(inverse(identity)))
| inverse(inverse(identity)) != identity
| double_divide(X_22,inverse(inverse(identity))) = double_divide(X_22,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_22,inverse(inverse(identity))),double_divide(X_22,inverse(inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_459,plain,
( inverse(inverse(identity)) != identity
| double_divide(X_22,inverse(inverse(identity))) = double_divide(X_22,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_22,inverse(inverse(identity))),double_divide(X_22,inverse(inverse(identity)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
double_divide(X_22,inverse(inverse(identity))) = double_divide(X_22,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( double_divide(X_22,identity) != inverse(X_22)
| double_divide(X_22,inverse(inverse(identity))) != double_divide(X_22,identity)
| double_divide(X_22,inverse(inverse(identity))) = inverse(X_22) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(X_22,inverse(inverse(identity))))),bind(Y,$fot(double_divide(X_22,identity))),bind(Z,$fot(inverse(X_22)))]]) ).
cnf(refute_0_462,plain,
( double_divide(X_22,identity) != inverse(X_22)
| double_divide(X_22,inverse(inverse(identity))) = inverse(X_22) ),
inference(resolve,[$cnf( $equal(double_divide(X_22,inverse(inverse(identity))),double_divide(X_22,identity)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
double_divide(X_22,inverse(inverse(identity))) = inverse(X_22),
inference(resolve,[$cnf( $equal(double_divide(X_22,identity),inverse(X_22)) )],[refute_0_449,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(double_divide(X_22,inverse(inverse(identity))),identity) = multiply(double_divide(X_22,inverse(inverse(identity))),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_22,inverse(inverse(identity))),identity))]]) ).
cnf(refute_0_465,plain,
( multiply(double_divide(X_22,inverse(inverse(identity))),identity) != multiply(double_divide(X_22,inverse(inverse(identity))),identity)
| double_divide(X_22,inverse(inverse(identity))) != inverse(X_22)
| multiply(double_divide(X_22,inverse(inverse(identity))),identity) = multiply(inverse(X_22),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_22,inverse(inverse(identity))),identity),multiply(double_divide(X_22,inverse(inverse(identity))),identity)) ),[1,0],$fot(inverse(X_22))]]) ).
cnf(refute_0_466,plain,
( double_divide(X_22,inverse(inverse(identity))) != inverse(X_22)
| multiply(double_divide(X_22,inverse(inverse(identity))),identity) = multiply(inverse(X_22),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_22,inverse(inverse(identity))),identity),multiply(double_divide(X_22,inverse(inverse(identity))),identity)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
multiply(double_divide(X_22,inverse(inverse(identity))),identity) = multiply(inverse(X_22),identity),
inference(resolve,[$cnf( $equal(double_divide(X_22,inverse(inverse(identity))),inverse(X_22)) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)) = inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)))]]) ).
cnf(refute_0_469,plain,
( multiply(double_divide(X_22,inverse(inverse(identity))),identity) != multiply(inverse(X_22),identity)
| inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)) != inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))
| inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)) = inverse(multiply(inverse(X_22),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)),inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) ),[1,0],$fot(multiply(inverse(X_22),identity))]]) ).
cnf(refute_0_470,plain,
( multiply(double_divide(X_22,inverse(inverse(identity))),identity) != multiply(inverse(X_22),identity)
| inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)) = inverse(multiply(inverse(X_22),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)),inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)) = inverse(multiply(inverse(X_22),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_22,inverse(inverse(identity))),identity),multiply(inverse(X_22),identity)) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))))]]) ).
cnf(refute_0_473,plain,
( inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)) != inverse(multiply(inverse(X_22),identity))
| inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) != inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)))
| inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(inverse(X_22),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))),inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)))) ),[1,0],$fot(inverse(multiply(inverse(X_22),identity)))]]) ).
cnf(refute_0_474,plain,
( inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)) != inverse(multiply(inverse(X_22),identity))
| inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(inverse(X_22),identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))),inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) = inverse(inverse(multiply(inverse(X_22),identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)),inverse(multiply(inverse(X_22),identity))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) != inverse(inverse(multiply(inverse(X_22),identity)))
| inverse(inverse(multiply(inverse(X_22),identity))) != multiply(double_divide(identity,X_22),identity)
| inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) = multiply(double_divide(identity,X_22),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))))),bind(Y,$fot(inverse(inverse(multiply(inverse(X_22),identity))))),bind(Z,$fot(multiply(double_divide(identity,X_22),identity)))]]) ).
cnf(refute_0_477,plain,
( inverse(inverse(multiply(inverse(X_22),identity))) != multiply(double_divide(identity,X_22),identity)
| inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) = multiply(double_divide(identity,X_22),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))),inverse(inverse(multiply(inverse(X_22),identity)))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) = multiply(double_divide(identity,X_22),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_22),identity))),multiply(double_divide(identity,X_22),identity)) )],[refute_0_448,refute_0_477]) ).
cnf(refute_0_479,plain,
double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))) = inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))),
inference(subst,[],[refute_0_210:[bind(A,$fot(double_divide(X_22,inverse(inverse(identity))))),bind(B,$fot(identity))]]) ).
cnf(refute_0_480,plain,
( double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))) != inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)))
| inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) != multiply(double_divide(identity,X_22),identity)
| double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))) = multiply(double_divide(identity,X_22),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))))),bind(Y,$fot(inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))))),bind(Z,$fot(multiply(double_divide(identity,X_22),identity)))]]) ).
cnf(refute_0_481,plain,
( inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))) != multiply(double_divide(identity,X_22),identity)
| double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))) = multiply(double_divide(identity,X_22),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity)))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))) = multiply(double_divide(identity,X_22),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(X_22,inverse(inverse(identity))),identity))),multiply(double_divide(identity,X_22),identity)) )],[refute_0_478,refute_0_481]) ).
cnf(refute_0_483,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)))]]) ).
cnf(refute_0_484,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity))
| double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))) != multiply(double_divide(identity,X_22),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity))) ),[1,0],$fot(multiply(double_divide(identity,X_22),identity))]]) ).
cnf(refute_0_485,plain,
( double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))) != multiply(double_divide(identity,X_22),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),multiply(double_divide(identity,X_22),identity)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_22),identity),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) != double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)))),bind(Y,$fot(double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)))),bind(Z,$fot(double_divide(multiply(double_divide(identity,X_22),identity),identity)))]]) ).
cnf(refute_0_488,plain,
( double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_22),identity),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = double_divide(multiply(double_divide(identity,X_22),identity),identity),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_22),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_22),identity),identity)) )],[refute_0_368,refute_0_488]) ).
cnf(refute_0_490,plain,
( double_divide(multiply(double_divide(identity,X_22),identity),identity) != inverse(multiply(double_divide(identity,X_22),identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) != double_divide(multiply(double_divide(identity,X_22),identity),identity)
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = inverse(multiply(double_divide(identity,X_22),identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)))),bind(Y,$fot(double_divide(multiply(double_divide(identity,X_22),identity),identity))),bind(Z,$fot(inverse(multiply(double_divide(identity,X_22),identity))))]]) ).
cnf(refute_0_491,plain,
( double_divide(multiply(double_divide(identity,X_22),identity),identity) != inverse(multiply(double_divide(identity,X_22),identity))
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = inverse(multiply(double_divide(identity,X_22),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),double_divide(multiply(double_divide(identity,X_22),identity),identity)) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) = inverse(multiply(double_divide(identity,X_22),identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_22),identity),identity),inverse(multiply(double_divide(identity,X_22),identity))) )],[refute_0_364,refute_0_491]) ).
cnf(refute_0_493,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) != X_22
| double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) != inverse(multiply(double_divide(identity,X_22),identity))
| inverse(multiply(double_divide(identity,X_22),identity)) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),X_22) ),[0],$fot(inverse(multiply(double_divide(identity,X_22),identity)))]]) ).
cnf(refute_0_494,plain,
( double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)) != X_22
| inverse(multiply(double_divide(identity,X_22),identity)) = X_22 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),inverse(multiply(double_divide(identity,X_22),identity))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
inverse(multiply(double_divide(identity,X_22),identity)) = X_22,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,double_divide(X_22,inverse(inverse(identity))))),inverse(identity)),X_22) )],[refute_0_363,refute_0_494]) ).
cnf(refute_0_496,plain,
inverse(multiply(double_divide(identity,X_30),identity)) = X_30,
inference(subst,[],[refute_0_495:[bind(X_22,$fot(X_30))]]) ).
cnf(refute_0_497,plain,
( multiply(double_divide(identity,X_30),inverse(multiply(double_divide(identity,X_30),identity))) != identity
| inverse(multiply(double_divide(identity,X_30),identity)) != X_30
| multiply(double_divide(identity,X_30),X_30) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_30),inverse(multiply(double_divide(identity,X_30),identity))),identity) ),[0,1],$fot(X_30)]]) ).
cnf(refute_0_498,plain,
( multiply(double_divide(identity,X_30),inverse(multiply(double_divide(identity,X_30),identity))) != identity
| multiply(double_divide(identity,X_30),X_30) = identity ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_30),identity)),X_30) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
multiply(double_divide(identity,X_30),X_30) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_30),inverse(multiply(double_divide(identity,X_30),identity))),identity) )],[refute_0_356,refute_0_498]) ).
cnf(refute_0_500,plain,
multiply(double_divide(identity,inverse(X_15)),inverse(X_15)) = identity,
inference(subst,[],[refute_0_499:[bind(X_30,$fot(inverse(X_15)))]]) ).
cnf(refute_0_501,plain,
( multiply(double_divide(identity,inverse(X_15)),inverse(X_15)) != identity
| double_divide(identity,inverse(X_15)) != multiply(X_15,identity)
| multiply(multiply(X_15,identity),inverse(X_15)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_15)),inverse(X_15)),identity) ),[0,0],$fot(multiply(X_15,identity))]]) ).
cnf(refute_0_502,plain,
( multiply(double_divide(identity,inverse(X_15)),inverse(X_15)) != identity
| multiply(multiply(X_15,identity),inverse(X_15)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_15)),multiply(X_15,identity)) )],[refute_0_340,refute_0_501]) ).
cnf(refute_0_503,plain,
multiply(multiply(X_15,identity),inverse(X_15)) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_15)),inverse(X_15)),identity) )],[refute_0_500,refute_0_502]) ).
cnf(refute_0_504,plain,
multiply(multiply(double_divide(B,A),identity),inverse(double_divide(B,A))) = identity,
inference(subst,[],[refute_0_503:[bind(X_15,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_505,plain,
( multiply(multiply(double_divide(B,A),identity),inverse(double_divide(B,A))) != identity
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(double_divide(B,A),identity),multiply(A,B)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(B,A),identity),inverse(double_divide(B,A))),identity) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_506,plain,
( multiply(multiply(double_divide(B,A),identity),inverse(double_divide(B,A))) != identity
| multiply(multiply(double_divide(B,A),identity),multiply(A,B)) = identity ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_25,refute_0_505]) ).
cnf(refute_0_507,plain,
multiply(multiply(double_divide(B,A),identity),multiply(A,B)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(B,A),identity),inverse(double_divide(B,A))),identity) )],[refute_0_504,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13))) = identity,
inference(subst,[],[refute_0_507:[bind(A,$fot(inverse(inverse(multiply(X_13,identity))))),bind(B,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_509,plain,
multiply(multiply(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) = identity,
inference(subst,[],[refute_0_503:[bind(X_15,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_510,plain,
( multiply(multiply(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) != identity
| inverse(inverse(inverse(X_13))) != double_divide(identity,X_13)
| multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))),identity) ),[0,1],$fot(double_divide(identity,X_13))]]) ).
cnf(refute_0_511,plain,
( multiply(multiply(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) != identity
| multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),double_divide(identity,X_13)) )],[refute_0_297,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))),identity) )],[refute_0_509,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(inverse(X_13),identity) = inverse(multiply(X_13,identity)),
inference(subst,[],[refute_0_347:[bind(X_27,$fot(X_13))]]) ).
cnf(refute_0_514,plain,
inverse(multiply(inverse(X_13),identity)) = inverse(multiply(inverse(X_13),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_13),identity)))]]) ).
cnf(refute_0_515,plain,
( multiply(inverse(X_13),identity) != inverse(multiply(X_13,identity))
| inverse(multiply(inverse(X_13),identity)) != inverse(multiply(inverse(X_13),identity))
| inverse(multiply(inverse(X_13),identity)) = inverse(inverse(multiply(X_13,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_13),identity)),inverse(multiply(inverse(X_13),identity))) ),[1,0],$fot(inverse(multiply(X_13,identity)))]]) ).
cnf(refute_0_516,plain,
( multiply(inverse(X_13),identity) != inverse(multiply(X_13,identity))
| inverse(multiply(inverse(X_13),identity)) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_13),identity)),inverse(multiply(inverse(X_13),identity))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
inverse(multiply(inverse(X_13),identity)) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),identity),inverse(multiply(X_13,identity))) )],[refute_0_513,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(multiply(inverse(X_13),identity)),
inference(subst,[],[refute_0_347:[bind(X_27,$fot(inverse(X_13)))]]) ).
cnf(refute_0_519,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(multiply(inverse(X_13),identity))
| inverse(multiply(inverse(X_13),identity)) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(inverse(inverse(X_13)),identity))),bind(Y,$fot(inverse(multiply(inverse(X_13),identity)))),bind(Z,$fot(inverse(inverse(multiply(X_13,identity)))))]]) ).
cnf(refute_0_520,plain,
( inverse(multiply(inverse(X_13),identity)) != inverse(inverse(multiply(X_13,identity)))
| multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(multiply(inverse(X_13),identity))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(inverse(inverse(X_13)),identity) = inverse(inverse(multiply(X_13,identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_13),identity)),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) = multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)))]]) ).
cnf(refute_0_523,plain,
( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) != multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13))
| multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) = multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)),multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13))) ),[1,0],$fot(inverse(inverse(multiply(X_13,identity))))]]) ).
cnf(refute_0_524,plain,
( multiply(inverse(inverse(X_13)),identity) != inverse(inverse(multiply(X_13,identity)))
| multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) = multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)),multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) = multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),identity),inverse(inverse(multiply(X_13,identity)))) )],[refute_0_521,refute_0_524]) ).
cnf(refute_0_526,plain,
( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) != multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13))
| multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) != identity
| multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)),identity) ),[0],$fot(multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)))]]) ).
cnf(refute_0_527,plain,
( multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)) != identity
| multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)),multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_13)),identity),double_divide(identity,X_13)),identity) )],[refute_0_512,refute_0_527]) ).
cnf(refute_0_529,plain,
( multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13))) != identity
| multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)) != identity
| multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13))),identity) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_530,plain,
( multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13))) != identity
| multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13)),identity) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),multiply(inverse(inverse(multiply(X_13,identity))),double_divide(identity,X_13))),identity) )],[refute_0_508,refute_0_530]) ).
cnf(refute_0_532,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(double_divide(identity,inverse(X_14)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_533,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_534,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != inverse(double_divide(identity,double_divide(identity,inverse(X_14))))
| inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Y,$fot(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))))),bind(Z,$fot(multiply(double_divide(identity,inverse(X_14)),identity)))]]) ).
cnf(refute_0_535,plain,
( inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),inverse(double_divide(identity,double_divide(identity,inverse(X_14))))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_538,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_539,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_539]) ).
cnf(refute_0_541,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) ),[1,1],$fot(double_divide(identity,inverse(X_14)))]]) ).
cnf(refute_0_542,plain,
( double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_430,refute_0_541]) ).
cnf(refute_0_543,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(identity,inverse(X_14))) )],[refute_0_426,refute_0_542]) ).
cnf(refute_0_544,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))),bind(Y,$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))),bind(Z,$fot(double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_545,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_437,refute_0_544]) ).
cnf(refute_0_546,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) )],[refute_0_543,refute_0_545]) ).
cnf(refute_0_547,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_548,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(identity,inverse(X_14))))]]) ).
cnf(refute_0_549,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) )],[refute_0_546,refute_0_549]) ).
cnf(refute_0_551,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)))]]) ).
cnf(refute_0_552,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)) )],[refute_0_540,refute_0_552]) ).
cnf(refute_0_554,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Z,$fot(multiply(double_divide(identity,inverse(X_14)),identity)))]]) ).
cnf(refute_0_555,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_536,refute_0_555]) ).
cnf(refute_0_557,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != multiply(double_divide(identity,inverse(X_14)),identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) ),[0],$fot(multiply(double_divide(identity,inverse(X_14)),identity))]]) ).
cnf(refute_0_558,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| multiply(double_divide(identity,inverse(X_14)),identity) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_101,refute_0_558]) ).
cnf(refute_0_560,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = multiply(double_divide(identity,inverse(X_14)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(X_14)),identity))]]) ).
cnf(refute_0_561,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(double_divide(identity,inverse(X_14)),identity)) ),[1,0],$fot(multiply(X_14,identity))]]) ).
cnf(refute_0_562,plain,
( double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),multiply(X_14,identity)) )],[refute_0_422,refute_0_562]) ).
cnf(refute_0_564,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != X_14
| multiply(double_divide(identity,inverse(X_14)),identity) != multiply(multiply(X_14,identity),identity)
| multiply(multiply(X_14,identity),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),X_14) ),[0],$fot(multiply(multiply(X_14,identity),identity))]]) ).
cnf(refute_0_565,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != X_14
| multiply(multiply(X_14,identity),identity) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(multiply(X_14,identity),identity)) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
multiply(multiply(X_14,identity),identity) = X_14,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),X_14) )],[refute_0_559,refute_0_565]) ).
cnf(refute_0_567,plain,
multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity) = double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),
inference(subst,[],[refute_0_566:[bind(X_14,$fot(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))))]]) ).
cnf(refute_0_568,plain,
( multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity) != double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))
| multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity) != identity
| double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity),identity) ),[0],$fot(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))))]]) ).
cnf(refute_0_569,plain,
( multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity) != identity
| double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity),double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity),identity),identity) )],[refute_0_531,refute_0_569]) ).
cnf(refute_0_571,plain,
double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(multiply(multiply(X_14,identity),identity)))) = identity,
inference(subst,[],[refute_0_570:[bind(X_13,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_572,plain,
( multiply(multiply(X_14,identity),identity) != X_14
| double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(multiply(multiply(X_14,identity),identity)))) != identity
| double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(multiply(multiply(X_14,identity),identity)))),identity) ),[0,1,0,0],$fot(X_14)]]) ).
cnf(refute_0_573,plain,
( double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(multiply(multiply(X_14,identity),identity)))) != identity
| double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,identity),identity),X_14) )],[refute_0_566,refute_0_572]) ).
cnf(refute_0_574,plain,
double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(multiply(multiply(X_14,identity),identity)))),identity) )],[refute_0_571,refute_0_573]) ).
cnf(refute_0_575,plain,
double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) = double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))))]]) ).
cnf(refute_0_576,plain,
( double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) != double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14)))
| double_divide(identity,multiply(X_14,identity)) != multiply(double_divide(identity,X_14),identity)
| double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) = double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))),double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14)))) ),[1,0],$fot(multiply(double_divide(identity,X_14),identity))]]) ).
cnf(refute_0_577,plain,
( double_divide(identity,multiply(X_14,identity)) != multiply(double_divide(identity,X_14),identity)
| double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) = double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))),double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14)))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) = double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_14,identity)),multiply(double_divide(identity,X_14),identity)) )],[refute_0_421,refute_0_577]) ).
cnf(refute_0_579,plain,
( double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) != double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14)))
| double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) != identity
| double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))),identity) ),[0],$fot(double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))))]]) ).
cnf(refute_0_580,plain,
( double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))) != identity
| double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))),double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14)))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_14,identity)),inverse(inverse(X_14))),identity) )],[refute_0_574,refute_0_580]) ).
cnf(refute_0_582,plain,
( multiply(double_divide(double_divide(identity,inverse(X_14)),double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14)))),identity) != multiply(double_divide(identity,X_14),identity)
| double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))) != identity
| multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = multiply(double_divide(identity,X_14),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14)))),identity),multiply(double_divide(identity,X_14),identity)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_583,plain,
( multiply(double_divide(double_divide(identity,inverse(X_14)),double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14)))),identity) != multiply(double_divide(identity,X_14),identity)
| multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14))),identity) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = multiply(double_divide(identity,X_14),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),double_divide(multiply(double_divide(identity,X_14),identity),inverse(inverse(X_14)))),identity),multiply(double_divide(identity,X_14),identity)) )],[refute_0_241,refute_0_583]) ).
cnf(refute_0_585,plain,
inverse(multiply(multiply(X_14,identity),identity)) = inverse(multiply(multiply(X_14,identity),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_14,identity),identity)))]]) ).
cnf(refute_0_586,plain,
( multiply(multiply(X_14,identity),identity) != X_14
| inverse(multiply(multiply(X_14,identity),identity)) != inverse(multiply(multiply(X_14,identity),identity))
| inverse(multiply(multiply(X_14,identity),identity)) = inverse(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_14,identity),identity)),inverse(multiply(multiply(X_14,identity),identity))) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_587,plain,
( multiply(multiply(X_14,identity),identity) != X_14
| inverse(multiply(multiply(X_14,identity),identity)) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_14,identity),identity)),inverse(multiply(multiply(X_14,identity),identity))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
inverse(multiply(multiply(X_14,identity),identity)) = inverse(X_14),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,identity),identity),X_14) )],[refute_0_566,refute_0_587]) ).
cnf(refute_0_589,plain,
multiply(inverse(multiply(X_14,identity)),identity) = inverse(multiply(multiply(X_14,identity),identity)),
inference(subst,[],[refute_0_347:[bind(X_27,$fot(multiply(X_14,identity)))]]) ).
cnf(refute_0_590,plain,
( multiply(inverse(multiply(X_14,identity)),identity) != inverse(multiply(multiply(X_14,identity),identity))
| inverse(multiply(multiply(X_14,identity),identity)) != inverse(X_14)
| multiply(inverse(multiply(X_14,identity)),identity) = inverse(X_14) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(inverse(multiply(X_14,identity)),identity))),bind(Y,$fot(inverse(multiply(multiply(X_14,identity),identity)))),bind(Z,$fot(inverse(X_14)))]]) ).
cnf(refute_0_591,plain,
( inverse(multiply(multiply(X_14,identity),identity)) != inverse(X_14)
| multiply(inverse(multiply(X_14,identity)),identity) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_14,identity)),identity),inverse(multiply(multiply(X_14,identity),identity))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(inverse(multiply(X_14,identity)),identity) = inverse(X_14),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_14,identity),identity)),inverse(X_14)) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(inverse(X_14),identity) = inverse(multiply(X_14,identity)),
inference(subst,[],[refute_0_347:[bind(X_27,$fot(X_14))]]) ).
cnf(refute_0_594,plain,
inverse(double_divide(identity,inverse(X_14))) = multiply(inverse(X_14),identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(inverse(X_14))),bind(B,$fot(identity))]]) ).
cnf(refute_0_595,plain,
( multiply(inverse(X_14),identity) != inverse(multiply(X_14,identity))
| inverse(double_divide(identity,inverse(X_14))) != multiply(inverse(X_14),identity)
| inverse(double_divide(identity,inverse(X_14))) = inverse(multiply(X_14,identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(double_divide(identity,inverse(X_14))))),bind(Y,$fot(multiply(inverse(X_14),identity))),bind(Z,$fot(inverse(multiply(X_14,identity))))]]) ).
cnf(refute_0_596,plain,
( multiply(inverse(X_14),identity) != inverse(multiply(X_14,identity))
| inverse(double_divide(identity,inverse(X_14))) = inverse(multiply(X_14,identity)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(X_14))),multiply(inverse(X_14),identity)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
inverse(double_divide(identity,inverse(X_14))) = inverse(multiply(X_14,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),inverse(multiply(X_14,identity))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
double_divide(double_divide(identity,inverse(X_14)),identity) = inverse(double_divide(identity,inverse(X_14))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,inverse(X_14))))]]) ).
cnf(refute_0_599,plain,
( double_divide(double_divide(identity,inverse(X_14)),identity) != inverse(double_divide(identity,inverse(X_14)))
| inverse(double_divide(identity,inverse(X_14))) != inverse(multiply(X_14,identity))
| double_divide(double_divide(identity,inverse(X_14)),identity) = inverse(multiply(X_14,identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,inverse(X_14)),identity))),bind(Y,$fot(inverse(double_divide(identity,inverse(X_14))))),bind(Z,$fot(inverse(multiply(X_14,identity))))]]) ).
cnf(refute_0_600,plain,
( inverse(double_divide(identity,inverse(X_14))) != inverse(multiply(X_14,identity))
| double_divide(double_divide(identity,inverse(X_14)),identity) = inverse(multiply(X_14,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),identity),inverse(double_divide(identity,inverse(X_14)))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
double_divide(double_divide(identity,inverse(X_14)),identity) = inverse(multiply(X_14,identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(X_14))),inverse(multiply(X_14,identity))) )],[refute_0_597,refute_0_600]) ).
cnf(refute_0_602,plain,
multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity))]]) ).
cnf(refute_0_603,plain,
( multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) != multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity)
| double_divide(double_divide(identity,inverse(X_14)),identity) != inverse(multiply(X_14,identity))
| multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = multiply(inverse(multiply(X_14,identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity),multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity)) ),[1,0],$fot(inverse(multiply(X_14,identity)))]]) ).
cnf(refute_0_604,plain,
( double_divide(double_divide(identity,inverse(X_14)),identity) != inverse(multiply(X_14,identity))
| multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = multiply(inverse(multiply(X_14,identity)),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity),multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity)) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = multiply(inverse(multiply(X_14,identity)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),identity),inverse(multiply(X_14,identity))) )],[refute_0_601,refute_0_604]) ).
cnf(refute_0_606,plain,
( multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) != multiply(inverse(multiply(X_14,identity)),identity)
| multiply(inverse(multiply(X_14,identity)),identity) != inverse(X_14)
| multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = inverse(X_14) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity))),bind(Y,$fot(multiply(inverse(multiply(X_14,identity)),identity))),bind(Z,$fot(inverse(X_14)))]]) ).
cnf(refute_0_607,plain,
( multiply(inverse(multiply(X_14,identity)),identity) != inverse(X_14)
| multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity),multiply(inverse(multiply(X_14,identity)),identity)) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) = inverse(X_14),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_14,identity)),identity),inverse(X_14)) )],[refute_0_592,refute_0_607]) ).
cnf(refute_0_609,plain,
( multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) != multiply(double_divide(identity,X_14),identity)
| multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) != inverse(X_14)
| inverse(X_14) = multiply(double_divide(identity,X_14),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity),multiply(double_divide(identity,X_14),identity)) ),[0],$fot(inverse(X_14))]]) ).
cnf(refute_0_610,plain,
( multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity) != multiply(double_divide(identity,X_14),identity)
| inverse(X_14) = multiply(double_divide(identity,X_14),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity),inverse(X_14)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
inverse(X_14) = multiply(double_divide(identity,X_14),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_14)),identity),identity),multiply(double_divide(identity,X_14),identity)) )],[refute_0_584,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(double_divide(double_divide(identity,X_52),double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52))),identity) = inverse(multiply(inverse(X_52),identity)),
inference(subst,[],[refute_0_240:[bind(X_11,$fot(X_52)),bind(X_12,$fot(inverse(multiply(inverse(X_52),identity))))]]) ).
cnf(refute_0_613,plain,
multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),multiply(X_43,inverse(multiply(X_43,identity)))) = identity,
inference(subst,[],[refute_0_507:[bind(A,$fot(X_43)),bind(B,$fot(inverse(multiply(X_43,identity))))]]) ).
cnf(refute_0_614,plain,
multiply(X_43,inverse(multiply(X_43,identity))) = identity,
inference(subst,[],[refute_0_355:[bind(X_19,$fot(X_43))]]) ).
cnf(refute_0_615,plain,
( multiply(X_43,inverse(multiply(X_43,identity))) != identity
| multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),multiply(X_43,inverse(multiply(X_43,identity)))) != identity
| multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),multiply(X_43,inverse(multiply(X_43,identity)))),identity) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_616,plain,
( multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),multiply(X_43,inverse(multiply(X_43,identity)))) != identity
| multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_43,inverse(multiply(X_43,identity))),identity) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),multiply(X_43,inverse(multiply(X_43,identity)))),identity) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity) = double_divide(inverse(multiply(X_43,identity)),X_43),
inference(subst,[],[refute_0_566:[bind(X_14,$fot(double_divide(inverse(multiply(X_43,identity)),X_43)))]]) ).
cnf(refute_0_619,plain,
( multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity) != double_divide(inverse(multiply(X_43,identity)),X_43)
| multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity) != identity
| double_divide(inverse(multiply(X_43,identity)),X_43) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity),identity) ),[0],$fot(double_divide(inverse(multiply(X_43,identity)),X_43))]]) ).
cnf(refute_0_620,plain,
( multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity) != identity
| double_divide(inverse(multiply(X_43,identity)),X_43) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity),double_divide(inverse(multiply(X_43,identity)),X_43)) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
double_divide(inverse(multiply(X_43,identity)),X_43) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(multiply(X_43,identity)),X_43),identity),identity),identity) )],[refute_0_617,refute_0_620]) ).
cnf(refute_0_622,plain,
double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52)) = identity,
inference(subst,[],[refute_0_621:[bind(X_43,$fot(inverse(X_52)))]]) ).
cnf(refute_0_623,plain,
( multiply(double_divide(double_divide(identity,X_52),double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52))),identity) != inverse(multiply(inverse(X_52),identity))
| double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52)) != identity
| multiply(double_divide(double_divide(identity,X_52),identity),identity) = inverse(multiply(inverse(X_52),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52))),identity),inverse(multiply(inverse(X_52),identity))) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_624,plain,
( multiply(double_divide(double_divide(identity,X_52),double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52))),identity) != inverse(multiply(inverse(X_52),identity))
| multiply(double_divide(double_divide(identity,X_52),identity),identity) = inverse(multiply(inverse(X_52),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52)),identity) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
multiply(double_divide(double_divide(identity,X_52),identity),identity) = inverse(multiply(inverse(X_52),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),double_divide(inverse(multiply(inverse(X_52),identity)),inverse(X_52))),identity),inverse(multiply(inverse(X_52),identity))) )],[refute_0_612,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(multiply(X_52,identity),identity) = X_52,
inference(subst,[],[refute_0_566:[bind(X_14,$fot(X_52))]]) ).
cnf(refute_0_627,plain,
inverse(double_divide(identity,X_52)) = multiply(X_52,identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_52)),bind(B,$fot(identity))]]) ).
cnf(refute_0_628,plain,
double_divide(double_divide(identity,X_52),identity) = inverse(double_divide(identity,X_52)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_52)))]]) ).
cnf(refute_0_629,plain,
( double_divide(double_divide(identity,X_52),identity) != inverse(double_divide(identity,X_52))
| inverse(double_divide(identity,X_52)) != multiply(X_52,identity)
| double_divide(double_divide(identity,X_52),identity) = multiply(X_52,identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,X_52),identity))),bind(Y,$fot(inverse(double_divide(identity,X_52)))),bind(Z,$fot(multiply(X_52,identity)))]]) ).
cnf(refute_0_630,plain,
( inverse(double_divide(identity,X_52)) != multiply(X_52,identity)
| double_divide(double_divide(identity,X_52),identity) = multiply(X_52,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_52),identity),inverse(double_divide(identity,X_52))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
double_divide(double_divide(identity,X_52),identity) = multiply(X_52,identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_52)),multiply(X_52,identity)) )],[refute_0_627,refute_0_630]) ).
cnf(refute_0_632,plain,
multiply(double_divide(double_divide(identity,X_52),identity),identity) = multiply(double_divide(double_divide(identity,X_52),identity),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,X_52),identity),identity))]]) ).
cnf(refute_0_633,plain,
( multiply(double_divide(double_divide(identity,X_52),identity),identity) != multiply(double_divide(double_divide(identity,X_52),identity),identity)
| double_divide(double_divide(identity,X_52),identity) != multiply(X_52,identity)
| multiply(double_divide(double_divide(identity,X_52),identity),identity) = multiply(multiply(X_52,identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),identity),identity),multiply(double_divide(double_divide(identity,X_52),identity),identity)) ),[1,0],$fot(multiply(X_52,identity))]]) ).
cnf(refute_0_634,plain,
( double_divide(double_divide(identity,X_52),identity) != multiply(X_52,identity)
| multiply(double_divide(double_divide(identity,X_52),identity),identity) = multiply(multiply(X_52,identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),identity),identity),multiply(double_divide(double_divide(identity,X_52),identity),identity)) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(double_divide(double_divide(identity,X_52),identity),identity) = multiply(multiply(X_52,identity),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_52),identity),multiply(X_52,identity)) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
( multiply(multiply(X_52,identity),identity) != X_52
| multiply(double_divide(double_divide(identity,X_52),identity),identity) != multiply(multiply(X_52,identity),identity)
| multiply(double_divide(double_divide(identity,X_52),identity),identity) = X_52 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(double_divide(double_divide(identity,X_52),identity),identity))),bind(Y,$fot(multiply(multiply(X_52,identity),identity))),bind(Z,$fot(X_52))]]) ).
cnf(refute_0_637,plain,
( multiply(multiply(X_52,identity),identity) != X_52
| multiply(double_divide(double_divide(identity,X_52),identity),identity) = X_52 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),identity),identity),multiply(multiply(X_52,identity),identity)) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiply(double_divide(double_divide(identity,X_52),identity),identity) = X_52,
inference(resolve,[$cnf( $equal(multiply(multiply(X_52,identity),identity),X_52) )],[refute_0_626,refute_0_637]) ).
cnf(refute_0_639,plain,
( multiply(double_divide(double_divide(identity,X_52),identity),identity) != X_52
| multiply(double_divide(double_divide(identity,X_52),identity),identity) != inverse(multiply(inverse(X_52),identity))
| X_52 = inverse(multiply(inverse(X_52),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),identity),identity),inverse(multiply(inverse(X_52),identity))) ),[0],$fot(X_52)]]) ).
cnf(refute_0_640,plain,
( multiply(double_divide(double_divide(identity,X_52),identity),identity) != inverse(multiply(inverse(X_52),identity))
| X_52 = inverse(multiply(inverse(X_52),identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),identity),identity),X_52) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
double_divide(identity,inverse(X_52)) = multiply(X_52,identity),
inference(subst,[],[refute_0_340:[bind(X_15,$fot(X_52))]]) ).
cnf(refute_0_642,plain,
multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))),identity) = double_divide(identity,X_13),
inference(subst,[],[refute_0_240:[bind(X_11,$fot(inverse(multiply(X_13,identity)))),bind(X_12,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_643,plain,
( multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))),identity) != double_divide(identity,X_13)
| double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))) != identity
| multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))),identity),double_divide(identity,X_13)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_644,plain,
( multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))),identity) != double_divide(identity,X_13)
| multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity)))),identity) )],[refute_0_570,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),double_divide(double_divide(identity,X_13),inverse(inverse(multiply(X_13,identity))))),identity),double_divide(identity,X_13)) )],[refute_0_642,refute_0_644]) ).
cnf(refute_0_646,plain,
multiply(multiply(X_13,identity),identity) = X_13,
inference(subst,[],[refute_0_566:[bind(X_14,$fot(X_13))]]) ).
cnf(refute_0_647,plain,
inverse(multiply(multiply(X_13,identity),identity)) = inverse(multiply(multiply(X_13,identity),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_13,identity),identity)))]]) ).
cnf(refute_0_648,plain,
( multiply(multiply(X_13,identity),identity) != X_13
| inverse(multiply(multiply(X_13,identity),identity)) != inverse(multiply(multiply(X_13,identity),identity))
| inverse(multiply(multiply(X_13,identity),identity)) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_13,identity),identity)),inverse(multiply(multiply(X_13,identity),identity))) ),[1,0],$fot(X_13)]]) ).
cnf(refute_0_649,plain,
( multiply(multiply(X_13,identity),identity) != X_13
| inverse(multiply(multiply(X_13,identity),identity)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_13,identity),identity)),inverse(multiply(multiply(X_13,identity),identity))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
inverse(multiply(multiply(X_13,identity),identity)) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,identity),identity),X_13) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
multiply(inverse(multiply(X_13,identity)),identity) = inverse(multiply(multiply(X_13,identity),identity)),
inference(subst,[],[refute_0_347:[bind(X_27,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_652,plain,
inverse(double_divide(identity,inverse(multiply(X_13,identity)))) = multiply(inverse(multiply(X_13,identity)),identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(inverse(multiply(X_13,identity)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_653,plain,
( multiply(inverse(multiply(X_13,identity)),identity) != inverse(multiply(multiply(X_13,identity),identity))
| inverse(double_divide(identity,inverse(multiply(X_13,identity)))) != multiply(inverse(multiply(X_13,identity)),identity)
| inverse(double_divide(identity,inverse(multiply(X_13,identity)))) = inverse(multiply(multiply(X_13,identity),identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(double_divide(identity,inverse(multiply(X_13,identity)))))),bind(Y,$fot(multiply(inverse(multiply(X_13,identity)),identity))),bind(Z,$fot(inverse(multiply(multiply(X_13,identity),identity))))]]) ).
cnf(refute_0_654,plain,
( multiply(inverse(multiply(X_13,identity)),identity) != inverse(multiply(multiply(X_13,identity),identity))
| inverse(double_divide(identity,inverse(multiply(X_13,identity)))) = inverse(multiply(multiply(X_13,identity),identity)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(multiply(X_13,identity)))),multiply(inverse(multiply(X_13,identity)),identity)) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
inverse(double_divide(identity,inverse(multiply(X_13,identity)))) = inverse(multiply(multiply(X_13,identity),identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_13,identity)),identity),inverse(multiply(multiply(X_13,identity),identity))) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) = inverse(double_divide(identity,inverse(multiply(X_13,identity)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,inverse(multiply(X_13,identity)))))]]) ).
cnf(refute_0_657,plain,
( double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) != inverse(double_divide(identity,inverse(multiply(X_13,identity))))
| inverse(double_divide(identity,inverse(multiply(X_13,identity)))) != inverse(multiply(multiply(X_13,identity),identity))
| double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) = inverse(multiply(multiply(X_13,identity),identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity))),bind(Y,$fot(inverse(double_divide(identity,inverse(multiply(X_13,identity)))))),bind(Z,$fot(inverse(multiply(multiply(X_13,identity),identity))))]]) ).
cnf(refute_0_658,plain,
( inverse(double_divide(identity,inverse(multiply(X_13,identity)))) != inverse(multiply(multiply(X_13,identity),identity))
| double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) = inverse(multiply(multiply(X_13,identity),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),inverse(double_divide(identity,inverse(multiply(X_13,identity))))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) = inverse(multiply(multiply(X_13,identity),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(multiply(X_13,identity)))),inverse(multiply(multiply(X_13,identity),identity))) )],[refute_0_655,refute_0_658]) ).
cnf(refute_0_660,plain,
( double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) != inverse(multiply(multiply(X_13,identity),identity))
| inverse(multiply(multiply(X_13,identity),identity)) != inverse(X_13)
| double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) = inverse(X_13) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity))),bind(Y,$fot(inverse(multiply(multiply(X_13,identity),identity)))),bind(Z,$fot(inverse(X_13)))]]) ).
cnf(refute_0_661,plain,
( inverse(multiply(multiply(X_13,identity),identity)) != inverse(X_13)
| double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),inverse(multiply(multiply(X_13,identity),identity))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) = inverse(X_13),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_13,identity),identity)),inverse(X_13)) )],[refute_0_650,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity))]]) ).
cnf(refute_0_664,plain,
( multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) != multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity)
| double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) != inverse(X_13)
| multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = multiply(inverse(X_13),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity),multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity)) ),[1,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_665,plain,
( double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity) != inverse(X_13)
| multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = multiply(inverse(X_13),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity),multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity)) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = multiply(inverse(X_13),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),inverse(X_13)) )],[refute_0_662,refute_0_665]) ).
cnf(refute_0_667,plain,
( multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) != multiply(inverse(X_13),identity)
| multiply(inverse(X_13),identity) != inverse(multiply(X_13,identity))
| multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = inverse(multiply(X_13,identity)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity))),bind(Y,$fot(multiply(inverse(X_13),identity))),bind(Z,$fot(inverse(multiply(X_13,identity))))]]) ).
cnf(refute_0_668,plain,
( multiply(inverse(X_13),identity) != inverse(multiply(X_13,identity))
| multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = inverse(multiply(X_13,identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity),multiply(inverse(X_13),identity)) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) = inverse(multiply(X_13,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),identity),inverse(multiply(X_13,identity))) )],[refute_0_513,refute_0_668]) ).
cnf(refute_0_670,plain,
( multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) != double_divide(identity,X_13)
| multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) != inverse(multiply(X_13,identity))
| inverse(multiply(X_13,identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity),double_divide(identity,X_13)) ),[0],$fot(inverse(multiply(X_13,identity)))]]) ).
cnf(refute_0_671,plain,
( multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity) != double_divide(identity,X_13)
| inverse(multiply(X_13,identity)) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity),inverse(multiply(X_13,identity))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
inverse(multiply(X_13,identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(multiply(X_13,identity))),identity),identity),double_divide(identity,X_13)) )],[refute_0_645,refute_0_671]) ).
cnf(refute_0_673,plain,
inverse(multiply(inverse(X_52),identity)) = double_divide(identity,inverse(X_52)),
inference(subst,[],[refute_0_672:[bind(X_13,$fot(inverse(X_52)))]]) ).
cnf(refute_0_674,plain,
( double_divide(identity,inverse(X_52)) != multiply(X_52,identity)
| inverse(multiply(inverse(X_52),identity)) != double_divide(identity,inverse(X_52))
| inverse(multiply(inverse(X_52),identity)) = multiply(X_52,identity) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(multiply(inverse(X_52),identity)))),bind(Y,$fot(double_divide(identity,inverse(X_52)))),bind(Z,$fot(multiply(X_52,identity)))]]) ).
cnf(refute_0_675,plain,
( double_divide(identity,inverse(X_52)) != multiply(X_52,identity)
| inverse(multiply(inverse(X_52),identity)) = multiply(X_52,identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_52),identity)),double_divide(identity,inverse(X_52))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
inverse(multiply(inverse(X_52),identity)) = multiply(X_52,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_52)),multiply(X_52,identity)) )],[refute_0_641,refute_0_675]) ).
cnf(refute_0_677,plain,
( X_52 != inverse(multiply(inverse(X_52),identity))
| inverse(multiply(inverse(X_52),identity)) != multiply(X_52,identity)
| X_52 = multiply(X_52,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_52,multiply(X_52,identity)) ),[0],$fot(inverse(multiply(inverse(X_52),identity)))]]) ).
cnf(refute_0_678,plain,
( X_52 != inverse(multiply(inverse(X_52),identity))
| X_52 = multiply(X_52,identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_52),identity)),multiply(X_52,identity)) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
( multiply(double_divide(double_divide(identity,X_52),identity),identity) != inverse(multiply(inverse(X_52),identity))
| X_52 = multiply(X_52,identity) ),
inference(resolve,[$cnf( $equal(X_52,inverse(multiply(inverse(X_52),identity))) )],[refute_0_640,refute_0_678]) ).
cnf(refute_0_680,plain,
X_52 = multiply(X_52,identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_52),identity),identity),inverse(multiply(inverse(X_52),identity))) )],[refute_0_625,refute_0_679]) ).
cnf(refute_0_681,plain,
( X_52 != multiply(X_52,identity)
| multiply(X_52,identity) = X_52 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_52)),bind(Y,$fot(multiply(X_52,identity)))]]) ).
cnf(refute_0_682,plain,
multiply(X_52,identity) = X_52,
inference(resolve,[$cnf( $equal(X_52,multiply(X_52,identity)) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
multiply(double_divide(identity,X_14),identity) = double_divide(identity,X_14),
inference(subst,[],[refute_0_682:[bind(X_52,$fot(double_divide(identity,X_14)))]]) ).
cnf(refute_0_684,plain,
( multiply(double_divide(identity,X_14),identity) != double_divide(identity,X_14)
| inverse(X_14) != multiply(double_divide(identity,X_14),identity)
| inverse(X_14) = double_divide(identity,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_14),multiply(double_divide(identity,X_14),identity)) ),[1],$fot(double_divide(identity,X_14))]]) ).
cnf(refute_0_685,plain,
( inverse(X_14) != multiply(double_divide(identity,X_14),identity)
| inverse(X_14) = double_divide(identity,X_14) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_14),identity),double_divide(identity,X_14)) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
inverse(X_14) = double_divide(identity,X_14),
inference(resolve,[$cnf( $equal(inverse(X_14),multiply(double_divide(identity,X_14),identity)) )],[refute_0_611,refute_0_685]) ).
cnf(refute_0_687,plain,
( inverse(X_14) != double_divide(identity,X_14)
| double_divide(identity,X_14) = inverse(X_14) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_14))),bind(Y,$fot(double_divide(identity,X_14)))]]) ).
cnf(refute_0_688,plain,
double_divide(identity,X_14) = inverse(X_14),
inference(resolve,[$cnf( $equal(inverse(X_14),double_divide(identity,X_14)) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
double_divide(identity,X_10) = inverse(X_10),
inference(subst,[],[refute_0_688:[bind(X_14,$fot(X_10))]]) ).
cnf(refute_0_690,plain,
multiply(double_divide(identity,X_10),X_12) = multiply(double_divide(identity,X_10),X_12),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_10),X_12))]]) ).
cnf(refute_0_691,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(double_divide(identity,X_10),X_12)
| double_divide(identity,X_10) != inverse(X_10)
| multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(double_divide(identity,X_10),X_12)) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_692,plain,
( double_divide(identity,X_10) != inverse(X_10)
| multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(double_divide(identity,X_10),X_12)) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12),
inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_689,refute_0_692]) ).
cnf(refute_0_694,plain,
multiply(double_divide(double_divide(identity,multiply(X_41,identity)),double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))),identity) = inverse(inverse(X_41)),
inference(subst,[],[refute_0_240:[bind(X_11,$fot(multiply(X_41,identity))),bind(X_12,$fot(inverse(inverse(X_41))))]]) ).
cnf(refute_0_695,plain,
multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41)))) = identity,
inference(subst,[],[refute_0_507:[bind(A,$fot(inverse(multiply(X_41,identity)))),bind(B,$fot(inverse(inverse(X_41))))]]) ).
cnf(refute_0_696,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_22),identity))),double_divide(identity,double_divide(identity,X_22))) = identity,
inference(subst,[],[refute_0_528:[bind(X_13,$fot(double_divide(identity,X_22)))]]) ).
cnf(refute_0_697,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_22),identity))),double_divide(identity,double_divide(identity,X_22))) != identity
| inverse(multiply(double_divide(identity,X_22),identity)) != X_22
| multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_22),identity))),double_divide(identity,double_divide(identity,X_22))),identity) ),[0,0,0],$fot(X_22)]]) ).
cnf(refute_0_698,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_22),identity))),double_divide(identity,double_divide(identity,X_22))) != identity
| multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) = identity ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_22),identity)),X_22) )],[refute_0_495,refute_0_697]) ).
cnf(refute_0_699,plain,
multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_22),identity))),double_divide(identity,double_divide(identity,X_22))),identity) )],[refute_0_696,refute_0_698]) ).
cnf(refute_0_700,plain,
double_divide(identity,double_divide(identity,X_22)) = inverse(inverse(multiply(X_22,identity))),
inference(subst,[],[refute_0_210:[bind(A,$fot(X_22)),bind(B,$fot(identity))]]) ).
cnf(refute_0_701,plain,
multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) = multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))))]]) ).
cnf(refute_0_702,plain,
( multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) != multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22)))
| double_divide(identity,double_divide(identity,X_22)) != inverse(inverse(multiply(X_22,identity)))
| multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) = multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))),multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22)))) ),[1,1],$fot(inverse(inverse(multiply(X_22,identity))))]]) ).
cnf(refute_0_703,plain,
( double_divide(identity,double_divide(identity,X_22)) != inverse(inverse(multiply(X_22,identity)))
| multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) = multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))),multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22)))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) = multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity)))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,X_22)),inverse(inverse(multiply(X_22,identity)))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
( multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) != multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity))))
| multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) != identity
| multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))),identity) ),[0],$fot(multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity)))))]]) ).
cnf(refute_0_706,plain,
( multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))) != identity
| multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity)))) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))),multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity))))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
multiply(inverse(X_22),inverse(inverse(multiply(X_22,identity)))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_22),double_divide(identity,double_divide(identity,X_22))),identity) )],[refute_0_699,refute_0_706]) ).
cnf(refute_0_708,plain,
multiply(inverse(multiply(X_41,identity)),inverse(inverse(multiply(multiply(X_41,identity),identity)))) = identity,
inference(subst,[],[refute_0_707:[bind(X_22,$fot(multiply(X_41,identity)))]]) ).
cnf(refute_0_709,plain,
multiply(multiply(X_41,identity),identity) = X_41,
inference(subst,[],[refute_0_566:[bind(X_14,$fot(X_41))]]) ).
cnf(refute_0_710,plain,
( multiply(multiply(X_41,identity),identity) != X_41
| multiply(inverse(multiply(X_41,identity)),inverse(inverse(multiply(multiply(X_41,identity),identity)))) != identity
| multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_41,identity)),inverse(inverse(multiply(multiply(X_41,identity),identity)))),identity) ),[0,1,0,0],$fot(X_41)]]) ).
cnf(refute_0_711,plain,
( multiply(inverse(multiply(X_41,identity)),inverse(inverse(multiply(multiply(X_41,identity),identity)))) != identity
| multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_41,identity),identity),X_41) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,identity)),inverse(inverse(multiply(multiply(X_41,identity),identity)))),identity) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
( multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41)))) != identity
| multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41))) != identity
| multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41)))),identity) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_714,plain,
( multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41)))) != identity
| multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41))),identity) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),multiply(inverse(multiply(X_41,identity)),inverse(inverse(X_41)))),identity) )],[refute_0_695,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity) = double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),
inference(subst,[],[refute_0_566:[bind(X_14,$fot(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))))]]) ).
cnf(refute_0_717,plain,
( multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity) != double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))
| multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity) != identity
| double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity),identity) ),[0],$fot(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))))]]) ).
cnf(refute_0_718,plain,
( multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity) != identity
| double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity),double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity),identity),identity) )],[refute_0_715,refute_0_718]) ).
cnf(refute_0_720,plain,
( multiply(double_divide(double_divide(identity,multiply(X_41,identity)),double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))),identity) != inverse(inverse(X_41))
| double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))) != identity
| multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) = inverse(inverse(X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,multiply(X_41,identity)),double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))),identity),inverse(inverse(X_41))) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_721,plain,
( multiply(double_divide(double_divide(identity,multiply(X_41,identity)),double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))),identity) != inverse(inverse(X_41))
| multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) = inverse(inverse(X_41)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity))),identity) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) = inverse(inverse(X_41)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,multiply(X_41,identity)),double_divide(inverse(inverse(X_41)),inverse(multiply(X_41,identity)))),identity),inverse(inverse(X_41))) )],[refute_0_694,refute_0_721]) ).
cnf(refute_0_723,plain,
inverse(double_divide(identity,multiply(X_41,identity))) = multiply(multiply(X_41,identity),identity),
inference(subst,[],[refute_0_25:[bind(A,$fot(multiply(X_41,identity))),bind(B,$fot(identity))]]) ).
cnf(refute_0_724,plain,
( multiply(multiply(X_41,identity),identity) != X_41
| inverse(double_divide(identity,multiply(X_41,identity))) != multiply(multiply(X_41,identity),identity)
| inverse(double_divide(identity,multiply(X_41,identity))) = X_41 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(double_divide(identity,multiply(X_41,identity))))),bind(Y,$fot(multiply(multiply(X_41,identity),identity))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_725,plain,
( multiply(multiply(X_41,identity),identity) != X_41
| inverse(double_divide(identity,multiply(X_41,identity))) = X_41 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,multiply(X_41,identity))),multiply(multiply(X_41,identity),identity)) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
inverse(double_divide(identity,multiply(X_41,identity))) = X_41,
inference(resolve,[$cnf( $equal(multiply(multiply(X_41,identity),identity),X_41) )],[refute_0_709,refute_0_725]) ).
cnf(refute_0_727,plain,
double_divide(double_divide(identity,multiply(X_41,identity)),identity) = inverse(double_divide(identity,multiply(X_41,identity))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,multiply(X_41,identity))))]]) ).
cnf(refute_0_728,plain,
( double_divide(double_divide(identity,multiply(X_41,identity)),identity) != inverse(double_divide(identity,multiply(X_41,identity)))
| inverse(double_divide(identity,multiply(X_41,identity))) != X_41
| double_divide(double_divide(identity,multiply(X_41,identity)),identity) = X_41 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(identity,multiply(X_41,identity)),identity))),bind(Y,$fot(inverse(double_divide(identity,multiply(X_41,identity))))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_729,plain,
( inverse(double_divide(identity,multiply(X_41,identity))) != X_41
| double_divide(double_divide(identity,multiply(X_41,identity)),identity) = X_41 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_41,identity)),identity),inverse(double_divide(identity,multiply(X_41,identity)))) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
double_divide(double_divide(identity,multiply(X_41,identity)),identity) = X_41,
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,multiply(X_41,identity))),X_41) )],[refute_0_726,refute_0_729]) ).
cnf(refute_0_731,plain,
multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) = double_divide(double_divide(identity,multiply(X_41,identity)),identity),
inference(subst,[],[refute_0_682:[bind(X_52,$fot(double_divide(double_divide(identity,multiply(X_41,identity)),identity)))]]) ).
cnf(refute_0_732,plain,
( multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) != double_divide(double_divide(identity,multiply(X_41,identity)),identity)
| double_divide(double_divide(identity,multiply(X_41,identity)),identity) != X_41
| multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) = X_41 ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity))),bind(Y,$fot(double_divide(double_divide(identity,multiply(X_41,identity)),identity))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_733,plain,
( double_divide(double_divide(identity,multiply(X_41,identity)),identity) != X_41
| multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) = X_41 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity),double_divide(double_divide(identity,multiply(X_41,identity)),identity)) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) = X_41,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_41,identity)),identity),X_41) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
( multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) != X_41
| multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) != inverse(inverse(X_41))
| X_41 = inverse(inverse(X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity),inverse(inverse(X_41))) ),[0],$fot(X_41)]]) ).
cnf(refute_0_736,plain,
( multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity) != inverse(inverse(X_41))
| X_41 = inverse(inverse(X_41)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity),X_41) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
X_41 = inverse(inverse(X_41)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,multiply(X_41,identity)),identity),identity),inverse(inverse(X_41))) )],[refute_0_722,refute_0_736]) ).
cnf(refute_0_738,plain,
( X_41 != inverse(inverse(X_41))
| inverse(inverse(X_41)) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(inverse(inverse(X_41))))]]) ).
cnf(refute_0_739,plain,
inverse(inverse(X_41)) = X_41,
inference(resolve,[$cnf( $equal(X_41,inverse(inverse(X_41))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(double_divide(identity,X_10),X_12),
inference(subst,[],[refute_0_739:[bind(X_41,$fot(multiply(double_divide(identity,X_10),X_12)))]]) ).
cnf(refute_0_741,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(inverse(X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(double_divide(identity,X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(inverse(inverse(multiply(double_divide(identity,X_10),X_12))))),bind(Y,$fot(multiply(double_divide(identity,X_10),X_12))),bind(Z,$fot(multiply(inverse(X_10),X_12)))]]) ).
cnf(refute_0_742,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(inverse(X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),multiply(double_divide(identity,X_10),X_12)) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(inverse(X_10),X_12)) )],[refute_0_693,refute_0_742]) ).
cnf(refute_0_744,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10))]]) ).
cnf(refute_0_745,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) != multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(inverse(X_10),X_12)
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(multiply(inverse(X_10),X_12),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)) ),[1,0],$fot(multiply(inverse(X_10),X_12))]]) ).
cnf(refute_0_746,plain,
( inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(inverse(X_10),X_12)
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(multiply(inverse(X_10),X_12),X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(multiply(inverse(X_10),X_12),X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),multiply(inverse(X_10),X_12)) )],[refute_0_743,refute_0_746]) ).
cnf(refute_0_748,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) != X_12
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) != multiply(multiply(inverse(X_10),X_12),X_10)
| multiply(multiply(inverse(X_10),X_12),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),X_12) ),[0],$fot(multiply(multiply(inverse(X_10),X_12),X_10))]]) ).
cnf(refute_0_749,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) != X_12
| multiply(multiply(inverse(X_10),X_12),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),multiply(multiply(inverse(X_10),X_12),X_10)) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
multiply(multiply(inverse(X_10),X_12),X_10) = X_12,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),X_12) )],[refute_0_218,refute_0_749]) ).
cnf(refute_0_751,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_12:[bind(A,$fot(multiply(X_2,X_3))),bind(B,$fot(double_divide(X_3,X_2))),bind(C,$fot(X_12))]]) ).
cnf(refute_0_752,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_753,plain,
multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
inference(subst,[],[refute_0_23:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_754,plain,
( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
| inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_755,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$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_757,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( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_752,refute_0_757]) ).
cnf(refute_0_759,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_760,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_762,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)),X_12) )],[refute_0_751,refute_0_762]) ).
cnf(refute_0_764,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))]]) ).
cnf(refute_0_765,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) ),[1,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_766,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_40,refute_0_766]) ).
cnf(refute_0_768,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))))]]) ).
cnf(refute_0_769,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))) ),[1,1],$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))]]) ).
cnf(refute_0_770,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) )],[refute_0_767,refute_0_770]) ).
cnf(refute_0_772,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)))]]) ).
cnf(refute_0_773,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))) ),[1,0],$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))]]) ).
cnf(refute_0_774,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),X_12) ),[0],$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_777,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),X_12) )],[refute_0_763,refute_0_777]) ).
cnf(refute_0_779,plain,
inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(subst,[],[refute_0_25:[bind(A,$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),bind(B,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_780,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))))]]) ).
cnf(refute_0_781,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))
| inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity))),bind(Y,$fot(inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))))),bind(Z,$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_782,plain,
( inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_779,refute_0_782]) ).
cnf(refute_0_784,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_785,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_786,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_786]) ).
cnf(refute_0_788,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity)
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_789,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_783,refute_0_789]) ).
cnf(refute_0_791,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_792,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != X_12
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),X_12) )],[refute_0_778,refute_0_792]) ).
cnf(refute_0_794,plain,
double_divide(identity,double_divide(X_3,X_2)) = inverse(inverse(multiply(X_2,X_3))),
inference(subst,[],[refute_0_210:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_795,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))]]) ).
cnf(refute_0_796,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(identity,double_divide(X_3,X_2)) != inverse(inverse(multiply(X_2,X_3)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),[1,0],$fot(inverse(inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_797,plain,
( double_divide(identity,double_divide(X_3,X_2)) != inverse(inverse(multiply(X_2,X_3)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_3,X_2)),inverse(inverse(multiply(X_2,X_3)))) )],[refute_0_794,refute_0_797]) ).
cnf(refute_0_799,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_800,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) ),[1,0],$fot(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)))]]) ).
cnf(refute_0_801,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))) )],[refute_0_798,refute_0_801]) ).
cnf(refute_0_803,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),X_12) ),[0],$fot(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_804,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),X_12) )],[refute_0_793,refute_0_804]) ).
cnf(refute_0_806,plain,
inverse(inverse(multiply(X_2,X_3))) = multiply(X_2,X_3),
inference(subst,[],[refute_0_739:[bind(X_41,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_807,plain,
double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)))]]) ).
cnf(refute_0_808,plain,
( double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) != double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))
| inverse(inverse(multiply(X_2,X_3))) != multiply(X_2,X_3)
| double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) = double_divide(multiply(X_2,X_3),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))) ),[1,0],$fot(multiply(X_2,X_3))]]) ).
cnf(refute_0_809,plain,
( inverse(inverse(multiply(X_2,X_3))) != multiply(X_2,X_3)
| double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) = double_divide(multiply(X_2,X_3),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) = double_divide(multiply(X_2,X_3),inverse(X_12)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_2,X_3))),multiply(X_2,X_3)) )],[refute_0_806,refute_0_809]) ).
cnf(refute_0_811,plain,
multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_812,plain,
( multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))
| double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) != double_divide(multiply(X_2,X_3),inverse(X_12))
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))) ),[1,0],$fot(double_divide(multiply(X_2,X_3),inverse(X_12)))]]) ).
cnf(refute_0_813,plain,
( double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) != double_divide(multiply(X_2,X_3),inverse(X_12))
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),double_divide(multiply(X_2,X_3),inverse(X_12))) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
( multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3))
| multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),X_12) ),[0],$fot(multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_816,plain,
( multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),X_12) )],[refute_0_805,refute_0_816]) ).
cnf(refute_0_818,plain,
double_divide(identity,multiply(A,B)) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_688:[bind(X_14,$fot(multiply(A,B)))]]) ).
cnf(refute_0_819,plain,
( double_divide(identity,multiply(A,B)) != multiply(double_divide(B,A),identity)
| double_divide(identity,multiply(A,B)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = multiply(double_divide(B,A),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(A,B)),multiply(double_divide(B,A),identity)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_820,plain,
( double_divide(identity,multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = multiply(double_divide(B,A),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(A,B)),inverse(multiply(A,B))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
multiply(double_divide(B,A),identity) = double_divide(B,A),
inference(subst,[],[refute_0_682:[bind(X_52,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_822,plain,
( multiply(double_divide(B,A),identity) != double_divide(B,A)
| inverse(multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(A,B)),multiply(double_divide(B,A),identity)) ),[1],$fot(double_divide(B,A))]]) ).
cnf(refute_0_823,plain,
( inverse(multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),identity),double_divide(B,A)) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
( double_divide(identity,multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(multiply(A,B)),multiply(double_divide(B,A),identity)) )],[refute_0_820,refute_0_823]) ).
cnf(refute_0_825,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(A,B)),multiply(double_divide(B,A),identity)) )],[refute_0_420,refute_0_824]) ).
cnf(refute_0_826,plain,
inverse(multiply(X_2,X_3)) = double_divide(X_3,X_2),
inference(subst,[],[refute_0_825:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_827,plain,
multiply(X_12,inverse(multiply(X_2,X_3))) = multiply(X_12,inverse(multiply(X_2,X_3))),
introduced(tautology,[refl,[$fot(multiply(X_12,inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_828,plain,
( multiply(X_12,inverse(multiply(X_2,X_3))) != multiply(X_12,inverse(multiply(X_2,X_3)))
| inverse(multiply(X_2,X_3)) != double_divide(X_3,X_2)
| multiply(X_12,inverse(multiply(X_2,X_3))) = multiply(X_12,double_divide(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,inverse(multiply(X_2,X_3))),multiply(X_12,inverse(multiply(X_2,X_3)))) ),[1,1],$fot(double_divide(X_3,X_2))]]) ).
cnf(refute_0_829,plain,
( inverse(multiply(X_2,X_3)) != double_divide(X_3,X_2)
| multiply(X_12,inverse(multiply(X_2,X_3))) = multiply(X_12,double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(multiply(X_2,X_3))),multiply(X_12,inverse(multiply(X_2,X_3)))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
multiply(X_12,inverse(multiply(X_2,X_3))) = multiply(X_12,double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,X_3)),double_divide(X_3,X_2)) )],[refute_0_826,refute_0_829]) ).
cnf(refute_0_831,plain,
multiply(multiply(inverse(inverse(X_41)),X_64),inverse(X_41)) = X_64,
inference(subst,[],[refute_0_750:[bind(X_10,$fot(inverse(X_41))),bind(X_12,$fot(X_64))]]) ).
cnf(refute_0_832,plain,
( multiply(multiply(inverse(inverse(X_41)),X_64),inverse(X_41)) != X_64
| inverse(inverse(X_41)) != X_41
| multiply(multiply(X_41,X_64),inverse(X_41)) = X_64 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_41)),X_64),inverse(X_41)),X_64) ),[0,0,0],$fot(X_41)]]) ).
cnf(refute_0_833,plain,
( multiply(multiply(inverse(inverse(X_41)),X_64),inverse(X_41)) != X_64
| multiply(multiply(X_41,X_64),inverse(X_41)) = X_64 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_41)),X_41) )],[refute_0_739,refute_0_832]) ).
cnf(refute_0_834,plain,
multiply(multiply(X_41,X_64),inverse(X_41)) = X_64,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_41)),X_64),inverse(X_41)),X_64) )],[refute_0_831,refute_0_833]) ).
cnf(refute_0_835,plain,
multiply(multiply(double_divide(X_76,X_64),X_64),inverse(double_divide(X_76,X_64))) = X_64,
inference(subst,[],[refute_0_834:[bind(X_41,$fot(double_divide(X_76,X_64)))]]) ).
cnf(refute_0_836,plain,
multiply(double_divide(X_60,B),B) = inverse(double_divide(B,double_divide(X_60,B))),
inference(subst,[],[refute_0_23:[bind(A,$fot(double_divide(X_60,B)))]]) ).
cnf(refute_0_837,plain,
multiply(double_divide(double_divide(identity,inverse(X_15)),double_divide(X_53,inverse(inverse(X_15)))),identity) = X_53,
inference(subst,[],[refute_0_240:[bind(X_11,$fot(inverse(X_15))),bind(X_12,$fot(X_53))]]) ).
cnf(refute_0_838,plain,
( multiply(double_divide(double_divide(identity,inverse(X_15)),double_divide(X_53,inverse(inverse(X_15)))),identity) != X_53
| double_divide(identity,inverse(X_15)) != multiply(X_15,identity)
| multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_15)),double_divide(X_53,inverse(inverse(X_15)))),identity),X_53) ),[0,0,0],$fot(multiply(X_15,identity))]]) ).
cnf(refute_0_839,plain,
( multiply(double_divide(double_divide(identity,inverse(X_15)),double_divide(X_53,inverse(inverse(X_15)))),identity) != X_53
| multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) = X_53 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_15)),multiply(X_15,identity)) )],[refute_0_340,refute_0_838]) ).
cnf(refute_0_840,plain,
multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) = X_53,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,inverse(X_15)),double_divide(X_53,inverse(inverse(X_15)))),identity),X_53) )],[refute_0_837,refute_0_839]) ).
cnf(refute_0_841,plain,
inverse(inverse(X_15)) = X_15,
inference(subst,[],[refute_0_739:[bind(X_41,$fot(X_15))]]) ).
cnf(refute_0_842,plain,
double_divide(X_53,inverse(inverse(X_15))) = double_divide(X_53,inverse(inverse(X_15))),
introduced(tautology,[refl,[$fot(double_divide(X_53,inverse(inverse(X_15))))]]) ).
cnf(refute_0_843,plain,
( double_divide(X_53,inverse(inverse(X_15))) != double_divide(X_53,inverse(inverse(X_15)))
| inverse(inverse(X_15)) != X_15
| double_divide(X_53,inverse(inverse(X_15))) = double_divide(X_53,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_53,inverse(inverse(X_15))),double_divide(X_53,inverse(inverse(X_15)))) ),[1,1],$fot(X_15)]]) ).
cnf(refute_0_844,plain,
( inverse(inverse(X_15)) != X_15
| double_divide(X_53,inverse(inverse(X_15))) = double_divide(X_53,X_15) ),
inference(resolve,[$cnf( $equal(double_divide(X_53,inverse(inverse(X_15))),double_divide(X_53,inverse(inverse(X_15)))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
double_divide(X_53,inverse(inverse(X_15))) = double_divide(X_53,X_15),
inference(resolve,[$cnf( $equal(inverse(inverse(X_15)),X_15) )],[refute_0_841,refute_0_844]) ).
cnf(refute_0_846,plain,
double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))),
introduced(tautology,[refl,[$fot(double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_847,plain,
( double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) != double_divide(X_15,double_divide(X_53,inverse(inverse(X_15))))
| double_divide(X_53,inverse(inverse(X_15))) != double_divide(X_53,X_15)
| double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))),double_divide(X_15,double_divide(X_53,inverse(inverse(X_15))))) ),[1,1],$fot(double_divide(X_53,X_15))]]) ).
cnf(refute_0_848,plain,
( double_divide(X_53,inverse(inverse(X_15))) != double_divide(X_53,X_15)
| double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))),double_divide(X_15,double_divide(X_53,inverse(inverse(X_15))))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,X_15)),
inference(resolve,[$cnf( $equal(double_divide(X_53,inverse(inverse(X_15))),double_divide(X_53,X_15)) )],[refute_0_845,refute_0_848]) ).
cnf(refute_0_850,plain,
multiply(X_15,identity) = X_15,
inference(subst,[],[refute_0_682:[bind(X_52,$fot(X_15))]]) ).
cnf(refute_0_851,plain,
double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) = double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_852,plain,
( multiply(X_15,identity) != X_15
| double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) != double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15))))
| double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15))))) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_853,plain,
( multiply(X_15,identity) != X_15
| double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15))))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),X_15) )],[refute_0_850,refute_0_853]) ).
cnf(refute_0_855,plain,
( double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) != double_divide(X_15,double_divide(X_53,X_15))
| double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) != double_divide(X_15,double_divide(X_53,inverse(inverse(X_15))))
| double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,X_15)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))))),bind(Y,$fot(double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))))),bind(Z,$fot(double_divide(X_15,double_divide(X_53,X_15))))]]) ).
cnf(refute_0_856,plain,
( double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))) != double_divide(X_15,double_divide(X_53,X_15))
| double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),double_divide(X_15,double_divide(X_53,inverse(inverse(X_15))))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) = double_divide(X_15,double_divide(X_53,X_15)),
inference(resolve,[$cnf( $equal(double_divide(X_15,double_divide(X_53,inverse(inverse(X_15)))),double_divide(X_15,double_divide(X_53,X_15))) )],[refute_0_849,refute_0_856]) ).
cnf(refute_0_858,plain,
multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) = double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),
inference(subst,[],[refute_0_682:[bind(X_52,$fot(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15))))))]]) ).
cnf(refute_0_859,plain,
( multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) != double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15))))
| double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) != double_divide(X_15,double_divide(X_53,X_15))
| multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) = double_divide(X_15,double_divide(X_53,X_15)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity))),bind(Y,$fot(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))))),bind(Z,$fot(double_divide(X_15,double_divide(X_53,X_15))))]]) ).
cnf(refute_0_860,plain,
( double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))) != double_divide(X_15,double_divide(X_53,X_15))
| multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) = double_divide(X_15,double_divide(X_53,X_15)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity),double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15))))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) = double_divide(X_15,double_divide(X_53,X_15)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),double_divide(X_15,double_divide(X_53,X_15))) )],[refute_0_857,refute_0_860]) ).
cnf(refute_0_862,plain,
( multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) != X_53
| multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) != double_divide(X_15,double_divide(X_53,X_15))
| double_divide(X_15,double_divide(X_53,X_15)) = X_53 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity),X_53) ),[0],$fot(double_divide(X_15,double_divide(X_53,X_15)))]]) ).
cnf(refute_0_863,plain,
( multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity) != X_53
| double_divide(X_15,double_divide(X_53,X_15)) = X_53 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity),double_divide(X_15,double_divide(X_53,X_15))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
double_divide(X_15,double_divide(X_53,X_15)) = X_53,
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_15,identity),double_divide(X_53,inverse(inverse(X_15)))),identity),X_53) )],[refute_0_840,refute_0_863]) ).
cnf(refute_0_865,plain,
double_divide(B,double_divide(X_60,B)) = X_60,
inference(subst,[],[refute_0_864:[bind(X_15,$fot(B)),bind(X_53,$fot(X_60))]]) ).
cnf(refute_0_866,plain,
( multiply(double_divide(X_60,B),B) != inverse(double_divide(B,double_divide(X_60,B)))
| double_divide(B,double_divide(X_60,B)) != X_60
| multiply(double_divide(X_60,B),B) = inverse(X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_60,B),B),inverse(double_divide(B,double_divide(X_60,B)))) ),[1,0],$fot(X_60)]]) ).
cnf(refute_0_867,plain,
( multiply(double_divide(X_60,B),B) != inverse(double_divide(B,double_divide(X_60,B)))
| multiply(double_divide(X_60,B),B) = inverse(X_60) ),
inference(resolve,[$cnf( $equal(double_divide(B,double_divide(X_60,B)),X_60) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
multiply(double_divide(X_60,B),B) = inverse(X_60),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_60,B),B),inverse(double_divide(B,double_divide(X_60,B)))) )],[refute_0_836,refute_0_867]) ).
cnf(refute_0_869,plain,
multiply(double_divide(X_76,X_64),X_64) = inverse(X_76),
inference(subst,[],[refute_0_868:[bind(B,$fot(X_64)),bind(X_60,$fot(X_76))]]) ).
cnf(refute_0_870,plain,
( multiply(multiply(double_divide(X_76,X_64),X_64),inverse(double_divide(X_76,X_64))) != X_64
| multiply(double_divide(X_76,X_64),X_64) != inverse(X_76)
| multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) = X_64 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_76,X_64),X_64),inverse(double_divide(X_76,X_64))),X_64) ),[0,0],$fot(inverse(X_76))]]) ).
cnf(refute_0_871,plain,
( multiply(multiply(double_divide(X_76,X_64),X_64),inverse(double_divide(X_76,X_64))) != X_64
| multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) = X_64 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_76,X_64),X_64),inverse(X_76)) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) = X_64,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_76,X_64),X_64),inverse(double_divide(X_76,X_64))),X_64) )],[refute_0_835,refute_0_871]) ).
cnf(refute_0_873,plain,
inverse(double_divide(X_76,X_64)) = multiply(X_64,X_76),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_64)),bind(B,$fot(X_76))]]) ).
cnf(refute_0_874,plain,
multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) = multiply(inverse(X_76),inverse(double_divide(X_76,X_64))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_76),inverse(double_divide(X_76,X_64))))]]) ).
cnf(refute_0_875,plain,
( multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) != multiply(inverse(X_76),inverse(double_divide(X_76,X_64)))
| inverse(double_divide(X_76,X_64)) != multiply(X_64,X_76)
| multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) = multiply(inverse(X_76),multiply(X_64,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_76),inverse(double_divide(X_76,X_64))),multiply(inverse(X_76),inverse(double_divide(X_76,X_64)))) ),[1,1],$fot(multiply(X_64,X_76))]]) ).
cnf(refute_0_876,plain,
( inverse(double_divide(X_76,X_64)) != multiply(X_64,X_76)
| multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) = multiply(inverse(X_76),multiply(X_64,X_76)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_76),inverse(double_divide(X_76,X_64))),multiply(inverse(X_76),inverse(double_divide(X_76,X_64)))) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) = multiply(inverse(X_76),multiply(X_64,X_76)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_76,X_64)),multiply(X_64,X_76)) )],[refute_0_873,refute_0_876]) ).
cnf(refute_0_878,plain,
( multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) != X_64
| multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) != multiply(inverse(X_76),multiply(X_64,X_76))
| multiply(inverse(X_76),multiply(X_64,X_76)) = X_64 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_76),inverse(double_divide(X_76,X_64))),X_64) ),[0],$fot(multiply(inverse(X_76),multiply(X_64,X_76)))]]) ).
cnf(refute_0_879,plain,
( multiply(inverse(X_76),inverse(double_divide(X_76,X_64))) != X_64
| multiply(inverse(X_76),multiply(X_64,X_76)) = X_64 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_76),inverse(double_divide(X_76,X_64))),multiply(inverse(X_76),multiply(X_64,X_76))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
multiply(inverse(X_76),multiply(X_64,X_76)) = X_64,
inference(resolve,[$cnf( $equal(multiply(inverse(X_76),inverse(double_divide(X_76,X_64))),X_64) )],[refute_0_872,refute_0_879]) ).
cnf(refute_0_881,plain,
multiply(inverse(inverse(X_41)),multiply(X_77,inverse(X_41))) = X_77,
inference(subst,[],[refute_0_880:[bind(X_64,$fot(X_77)),bind(X_76,$fot(inverse(X_41)))]]) ).
cnf(refute_0_882,plain,
( multiply(inverse(inverse(X_41)),multiply(X_77,inverse(X_41))) != X_77
| inverse(inverse(X_41)) != X_41
| multiply(X_41,multiply(X_77,inverse(X_41))) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_41)),multiply(X_77,inverse(X_41))),X_77) ),[0,0],$fot(X_41)]]) ).
cnf(refute_0_883,plain,
( multiply(inverse(inverse(X_41)),multiply(X_77,inverse(X_41))) != X_77
| multiply(X_41,multiply(X_77,inverse(X_41))) = X_77 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_41)),X_41) )],[refute_0_739,refute_0_882]) ).
cnf(refute_0_884,plain,
multiply(X_41,multiply(X_77,inverse(X_41))) = X_77,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),multiply(X_77,inverse(X_41))),X_77) )],[refute_0_881,refute_0_883]) ).
cnf(refute_0_885,plain,
multiply(X_79,multiply(double_divide(X_60,inverse(X_79)),inverse(X_79))) = double_divide(X_60,inverse(X_79)),
inference(subst,[],[refute_0_884:[bind(X_41,$fot(X_79)),bind(X_77,$fot(double_divide(X_60,inverse(X_79))))]]) ).
cnf(refute_0_886,plain,
multiply(double_divide(X_60,inverse(X_79)),inverse(X_79)) = inverse(X_60),
inference(subst,[],[refute_0_868:[bind(B,$fot(inverse(X_79)))]]) ).
cnf(refute_0_887,plain,
( multiply(X_79,multiply(double_divide(X_60,inverse(X_79)),inverse(X_79))) != double_divide(X_60,inverse(X_79))
| multiply(double_divide(X_60,inverse(X_79)),inverse(X_79)) != inverse(X_60)
| multiply(X_79,inverse(X_60)) = double_divide(X_60,inverse(X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_79,multiply(double_divide(X_60,inverse(X_79)),inverse(X_79))),double_divide(X_60,inverse(X_79))) ),[0,1],$fot(inverse(X_60))]]) ).
cnf(refute_0_888,plain,
( multiply(X_79,multiply(double_divide(X_60,inverse(X_79)),inverse(X_79))) != double_divide(X_60,inverse(X_79))
| multiply(X_79,inverse(X_60)) = double_divide(X_60,inverse(X_79)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_60,inverse(X_79)),inverse(X_79)),inverse(X_60)) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
multiply(X_79,inverse(X_60)) = double_divide(X_60,inverse(X_79)),
inference(resolve,[$cnf( $equal(multiply(X_79,multiply(double_divide(X_60,inverse(X_79)),inverse(X_79))),double_divide(X_60,inverse(X_79))) )],[refute_0_885,refute_0_888]) ).
cnf(refute_0_890,plain,
( multiply(X_79,inverse(X_60)) != double_divide(X_60,inverse(X_79))
| double_divide(X_60,inverse(X_79)) = multiply(X_79,inverse(X_60)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_79,inverse(X_60)))),bind(Y,$fot(double_divide(X_60,inverse(X_79))))]]) ).
cnf(refute_0_891,plain,
double_divide(X_60,inverse(X_79)) = multiply(X_79,inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(X_79,inverse(X_60)),double_divide(X_60,inverse(X_79))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
double_divide(multiply(X_2,X_3),inverse(X_12)) = multiply(X_12,inverse(multiply(X_2,X_3))),
inference(subst,[],[refute_0_891:[bind(X_60,$fot(multiply(X_2,X_3))),bind(X_79,$fot(X_12))]]) ).
cnf(refute_0_893,plain,
( multiply(X_12,inverse(multiply(X_2,X_3))) != multiply(X_12,double_divide(X_3,X_2))
| double_divide(multiply(X_2,X_3),inverse(X_12)) != multiply(X_12,inverse(multiply(X_2,X_3)))
| double_divide(multiply(X_2,X_3),inverse(X_12)) = multiply(X_12,double_divide(X_3,X_2)) ),
inference(subst,[],[refute_0_29:[bind(X,$fot(double_divide(multiply(X_2,X_3),inverse(X_12)))),bind(Y,$fot(multiply(X_12,inverse(multiply(X_2,X_3))))),bind(Z,$fot(multiply(X_12,double_divide(X_3,X_2))))]]) ).
cnf(refute_0_894,plain,
( multiply(X_12,inverse(multiply(X_2,X_3))) != multiply(X_12,double_divide(X_3,X_2))
| double_divide(multiply(X_2,X_3),inverse(X_12)) = multiply(X_12,double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_12,inverse(multiply(X_2,X_3)))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
double_divide(multiply(X_2,X_3),inverse(X_12)) = multiply(X_12,double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(multiply(X_2,X_3))),multiply(X_12,double_divide(X_3,X_2))) )],[refute_0_830,refute_0_894]) ).
cnf(refute_0_896,plain,
multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_897,plain,
( multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3))
| double_divide(multiply(X_2,X_3),inverse(X_12)) != multiply(X_12,double_divide(X_3,X_2))
| multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) = multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3))) ),[1,0],$fot(multiply(X_12,double_divide(X_3,X_2)))]]) ).
cnf(refute_0_898,plain,
( double_divide(multiply(X_2,X_3),inverse(X_12)) != multiply(X_12,double_divide(X_3,X_2))
| multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) = multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) = multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_12,double_divide(X_3,X_2))) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
( multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) != multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3))
| multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)),X_12) ),[0],$fot(multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_901,plain,
( multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)),multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
multiply(multiply(X_12,double_divide(X_3,X_2)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_2,X_3),inverse(X_12)),multiply(X_2,X_3)),X_12) )],[refute_0_817,refute_0_901]) ).
cnf(refute_0_903,plain,
multiply(multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)),multiply(X_102,X_103)) = multiply(inverse(double_divide(X_103,X_102)),X_12),
inference(subst,[],[refute_0_902:[bind(X_12,$fot(multiply(inverse(double_divide(X_103,X_102)),X_12))),bind(X_2,$fot(X_102)),bind(X_3,$fot(X_103))]]) ).
cnf(refute_0_904,plain,
multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)) = X_12,
inference(subst,[],[refute_0_750:[bind(X_10,$fot(double_divide(X_103,X_102)))]]) ).
cnf(refute_0_905,plain,
( multiply(multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)),multiply(X_102,X_103)) != multiply(inverse(double_divide(X_103,X_102)),X_12)
| multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)) != X_12
| multiply(X_12,multiply(X_102,X_103)) = multiply(inverse(double_divide(X_103,X_102)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)),multiply(X_102,X_103)),multiply(inverse(double_divide(X_103,X_102)),X_12)) ),[0,0],$fot(X_12)]]) ).
cnf(refute_0_906,plain,
( multiply(multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)),multiply(X_102,X_103)) != multiply(inverse(double_divide(X_103,X_102)),X_12)
| multiply(X_12,multiply(X_102,X_103)) = multiply(inverse(double_divide(X_103,X_102)),X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)),X_12) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
multiply(X_12,multiply(X_102,X_103)) = multiply(inverse(double_divide(X_103,X_102)),X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(double_divide(X_103,X_102)),X_12),double_divide(X_103,X_102)),multiply(X_102,X_103)),multiply(inverse(double_divide(X_103,X_102)),X_12)) )],[refute_0_903,refute_0_906]) ).
cnf(refute_0_908,plain,
inverse(double_divide(X_103,X_102)) = multiply(X_102,X_103),
inference(subst,[],[refute_0_25:[bind(A,$fot(X_102)),bind(B,$fot(X_103))]]) ).
cnf(refute_0_909,plain,
multiply(inverse(double_divide(X_103,X_102)),X_12) = multiply(inverse(double_divide(X_103,X_102)),X_12),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_103,X_102)),X_12))]]) ).
cnf(refute_0_910,plain,
( multiply(inverse(double_divide(X_103,X_102)),X_12) != multiply(inverse(double_divide(X_103,X_102)),X_12)
| inverse(double_divide(X_103,X_102)) != multiply(X_102,X_103)
| multiply(inverse(double_divide(X_103,X_102)),X_12) = multiply(multiply(X_102,X_103),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_103,X_102)),X_12),multiply(inverse(double_divide(X_103,X_102)),X_12)) ),[1,0],$fot(multiply(X_102,X_103))]]) ).
cnf(refute_0_911,plain,
( inverse(double_divide(X_103,X_102)) != multiply(X_102,X_103)
| multiply(inverse(double_divide(X_103,X_102)),X_12) = multiply(multiply(X_102,X_103),X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_103,X_102)),X_12),multiply(inverse(double_divide(X_103,X_102)),X_12)) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
multiply(inverse(double_divide(X_103,X_102)),X_12) = multiply(multiply(X_102,X_103),X_12),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_103,X_102)),multiply(X_102,X_103)) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
( multiply(X_12,multiply(X_102,X_103)) != multiply(inverse(double_divide(X_103,X_102)),X_12)
| multiply(inverse(double_divide(X_103,X_102)),X_12) != multiply(multiply(X_102,X_103),X_12)
| multiply(X_12,multiply(X_102,X_103)) = multiply(multiply(X_102,X_103),X_12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,multiply(X_102,X_103)),multiply(multiply(X_102,X_103),X_12)) ),[0],$fot(multiply(inverse(double_divide(X_103,X_102)),X_12))]]) ).
cnf(refute_0_914,plain,
( multiply(X_12,multiply(X_102,X_103)) != multiply(inverse(double_divide(X_103,X_102)),X_12)
| multiply(X_12,multiply(X_102,X_103)) = multiply(multiply(X_102,X_103),X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_103,X_102)),X_12),multiply(multiply(X_102,X_103),X_12)) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
multiply(X_12,multiply(X_102,X_103)) = multiply(multiply(X_102,X_103),X_12),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(X_102,X_103)),multiply(inverse(double_divide(X_103,X_102)),X_12)) )],[refute_0_907,refute_0_914]) ).
cnf(refute_0_916,plain,
( multiply(X_12,multiply(X_102,X_103)) != multiply(multiply(X_102,X_103),X_12)
| multiply(multiply(X_102,X_103),X_12) = multiply(X_12,multiply(X_102,X_103)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_12,multiply(X_102,X_103)))),bind(Y,$fot(multiply(multiply(X_102,X_103),X_12)))]]) ).
cnf(refute_0_917,plain,
multiply(multiply(X_102,X_103),X_12) = multiply(X_12,multiply(X_102,X_103)),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(X_102,X_103)),multiply(multiply(X_102,X_103),X_12)) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
multiply(multiply(inverse(X_10),X_12),X_10) = multiply(X_10,multiply(inverse(X_10),X_12)),
inference(subst,[],[refute_0_917:[bind(X_102,$fot(inverse(X_10))),bind(X_103,$fot(X_12)),bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_919,plain,
( multiply(multiply(inverse(X_10),X_12),X_10) != X_12
| multiply(multiply(inverse(X_10),X_12),X_10) != multiply(X_10,multiply(inverse(X_10),X_12))
| multiply(X_10,multiply(inverse(X_10),X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_10),X_12),X_10),X_12) ),[0],$fot(multiply(X_10,multiply(inverse(X_10),X_12)))]]) ).
cnf(refute_0_920,plain,
( multiply(multiply(inverse(X_10),X_12),X_10) != X_12
| multiply(X_10,multiply(inverse(X_10),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_12),X_10),multiply(X_10,multiply(inverse(X_10),X_12))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
multiply(X_10,multiply(inverse(X_10),X_12)) = X_12,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_12),X_10),X_12) )],[refute_0_750,refute_0_920]) ).
cnf(refute_0_922,plain,
multiply(X_104,multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104))))) = multiply(X_77,inverse(inverse(X_104))),
inference(subst,[],[refute_0_921:[bind(X_10,$fot(X_104)),bind(X_12,$fot(multiply(X_77,inverse(inverse(X_104)))))]]) ).
cnf(refute_0_923,plain,
multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104)))) = X_77,
inference(subst,[],[refute_0_884:[bind(X_41,$fot(inverse(X_104)))]]) ).
cnf(refute_0_924,plain,
( multiply(X_104,multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104))))) != multiply(X_77,inverse(inverse(X_104)))
| multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104)))) != X_77
| multiply(X_104,X_77) = multiply(X_77,inverse(inverse(X_104))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_104,multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104))))),multiply(X_77,inverse(inverse(X_104)))) ),[0,1],$fot(X_77)]]) ).
cnf(refute_0_925,plain,
( multiply(X_104,multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104))))) != multiply(X_77,inverse(inverse(X_104)))
| multiply(X_104,X_77) = multiply(X_77,inverse(inverse(X_104))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104)))),X_77) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
multiply(X_104,X_77) = multiply(X_77,inverse(inverse(X_104))),
inference(resolve,[$cnf( $equal(multiply(X_104,multiply(inverse(X_104),multiply(X_77,inverse(inverse(X_104))))),multiply(X_77,inverse(inverse(X_104)))) )],[refute_0_922,refute_0_925]) ).
cnf(refute_0_927,plain,
inverse(inverse(X_104)) = X_104,
inference(subst,[],[refute_0_739:[bind(X_41,$fot(X_104))]]) ).
cnf(refute_0_928,plain,
multiply(X_77,inverse(inverse(X_104))) = multiply(X_77,inverse(inverse(X_104))),
introduced(tautology,[refl,[$fot(multiply(X_77,inverse(inverse(X_104))))]]) ).
cnf(refute_0_929,plain,
( multiply(X_77,inverse(inverse(X_104))) != multiply(X_77,inverse(inverse(X_104)))
| inverse(inverse(X_104)) != X_104
| multiply(X_77,inverse(inverse(X_104))) = multiply(X_77,X_104) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_77,inverse(inverse(X_104))),multiply(X_77,inverse(inverse(X_104)))) ),[1,1],$fot(X_104)]]) ).
cnf(refute_0_930,plain,
( inverse(inverse(X_104)) != X_104
| multiply(X_77,inverse(inverse(X_104))) = multiply(X_77,X_104) ),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(inverse(X_104))),multiply(X_77,inverse(inverse(X_104)))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
multiply(X_77,inverse(inverse(X_104))) = multiply(X_77,X_104),
inference(resolve,[$cnf( $equal(inverse(inverse(X_104)),X_104) )],[refute_0_927,refute_0_930]) ).
cnf(refute_0_932,plain,
( multiply(X_104,X_77) != multiply(X_77,inverse(inverse(X_104)))
| multiply(X_77,inverse(inverse(X_104))) != multiply(X_77,X_104)
| multiply(X_104,X_77) = multiply(X_77,X_104) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_104,X_77),multiply(X_77,X_104)) ),[0],$fot(multiply(X_77,inverse(inverse(X_104))))]]) ).
cnf(refute_0_933,plain,
( multiply(X_104,X_77) != multiply(X_77,inverse(inverse(X_104)))
| multiply(X_104,X_77) = multiply(X_77,X_104) ),
inference(resolve,[$cnf( $equal(multiply(X_77,inverse(inverse(X_104))),multiply(X_77,X_104)) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
multiply(X_104,X_77) = multiply(X_77,X_104),
inference(resolve,[$cnf( $equal(multiply(X_104,X_77),multiply(X_77,inverse(inverse(X_104)))) )],[refute_0_926,refute_0_933]) ).
cnf(refute_0_935,plain,
( multiply(X_104,X_77) != multiply(X_77,X_104)
| multiply(X_77,X_104) = multiply(X_104,X_77) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_104,X_77))),bind(Y,$fot(multiply(X_77,X_104)))]]) ).
cnf(refute_0_936,plain,
multiply(X_77,X_104) = multiply(X_104,X_77),
inference(resolve,[$cnf( $equal(multiply(X_104,X_77),multiply(X_77,X_104)) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_936:[bind(X_104,$fot(a)),bind(X_77,$fot(b))]]) ).
cnf(refute_0_938,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_939,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_939,prove_these_axioms_4]) ).
cnf(refute_0_941,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_942,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_941,refute_0_940]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP584-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 16:52:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49
% 0.20/0.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.48/0.64
%------------------------------------------------------------------------------