TSTP Solution File: GRP567-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 10:42:24 EDT 2022
% Result : Unsatisfiable 0.45s 0.63s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 110
% Number of leaves : 204
% Syntax : Number of clauses : 819 ( 413 unt; 0 nHn; 403 RR)
% Number of literals : 1411 (1410 equ; 595 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1712 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = B ).
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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
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( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_6,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_7,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| multiply(A,B) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),identity),inverse(double_divide(B,A))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(A,double_divide(A,X_39)) = inverse(double_divide(double_divide(A,X_39),A)),
inference(subst,[],[refute_0_8:[bind(B,$fot(double_divide(A,X_39)))]]) ).
cnf(refute_0_10,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_11,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)))]]) ).
cnf(refute_0_12,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_13,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),B) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)))]]) ).
cnf(refute_0_16,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(identity,identity)),B) )],[single_axiom,refute_0_16]) ).
cnf(refute_0_18,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_17:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).
cnf(refute_0_19,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) != X_11
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)),X_11) ),[0,0,1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_20,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_10,refute_0_19]) ).
cnf(refute_0_21,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),double_divide(identity,identity))),inverse(identity)),X_11) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(X_10,identity) = inverse(X_10),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_23,plain,
double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,double_divide(X_10,identity)),
introduced(tautology,[refl,[$fot(double_divide(X_11,double_divide(X_10,identity)))]]) ).
cnf(refute_0_24,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,double_divide(X_10,identity))
| double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,double_divide(X_10,identity))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_25,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,double_divide(X_10,identity))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
double_divide(X_11,double_divide(X_10,identity)) = double_divide(X_11,inverse(X_10)),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))]]) ).
cnf(refute_0_28,plain,
( double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,inverse(X_10))
| double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))
| double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_11,inverse(X_10)))]]) ).
cnf(refute_0_29,plain,
( double_divide(X_11,double_divide(X_10,identity)) != double_divide(X_11,inverse(X_10))
| double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) = double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(X_10,identity)),double_divide(X_11,inverse(X_10))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))))]]) ).
cnf(refute_0_32,plain,
( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))
| double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))
| double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))) ),[1,1],$fot(double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))]]) ).
cnf(refute_0_33,plain,
( double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)) != double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))
| double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) = double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity)),double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_36,plain,
( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))))]]) ).
cnf(refute_0_37,plain,
( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))) != double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity)))) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_40,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) )],[refute_0_21,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
inference(subst,[],[refute_0_41:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))))]]) ).
cnf(refute_0_43,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_17:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(identity)))]]) ).
cnf(refute_0_44,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_45,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_46,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != X_11
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_48,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),X_11) )],[refute_0_43,refute_0_48]) ).
cnf(refute_0_50,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_51,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_50]) ).
cnf(refute_0_52,plain,
inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) = multiply(double_divide(X_10,inverse(identity)),X_11),
inference(subst,[],[refute_0_51:[bind(A,$fot(double_divide(X_10,inverse(identity)))),bind(B,$fot(X_11))]]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_11,double_divide(X_10,inverse(identity)))))]]) ).
cnf(refute_0_54,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_55,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_54]) ).
cnf(refute_0_56,plain,
( double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) != inverse(double_divide(X_11,double_divide(X_10,inverse(identity))))
| inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) != multiply(double_divide(X_10,inverse(identity)),X_11)
| double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))),bind(Y,$fot(inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))))),bind(Z,$fot(multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).
cnf(refute_0_57,plain,
( inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))) != multiply(double_divide(X_10,inverse(identity)),X_11)
| double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity),inverse(double_divide(X_11,double_divide(X_10,inverse(identity))))) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) = multiply(double_divide(X_10,inverse(identity)),X_11),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,double_divide(X_10,inverse(identity)))),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_52,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)))]]) ).
cnf(refute_0_60,plain,
( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))
| double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) != multiply(double_divide(X_10,inverse(identity)),X_11)
| double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))) ),[1,1],$fot(multiply(double_divide(X_10,inverse(identity)),X_11))]]) ).
cnf(refute_0_61,plain,
( double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity) != multiply(double_divide(X_10,inverse(identity)),X_11)
| double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)))]]) ).
cnf(refute_0_64,plain,
( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))) ),[1,0],$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).
cnf(refute_0_65,plain,
( double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) = double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))
| double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)))]]) ).
cnf(refute_0_68,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)) != X_11
| double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(identity))),identity)),inverse(identity)),X_11) )],[refute_0_49,refute_0_68]) ).
cnf(refute_0_70,plain,
( double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[0,0,1,0],$fot(X_11)]]) ).
cnf(refute_0_71,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),X_11) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_42,refute_0_71]) ).
cnf(refute_0_73,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))),
inference(subst,[],[refute_0_41:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(identity,inverse(inverse(X_14)))))]]) ).
cnf(refute_0_74,plain,
double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)) = X_14,
inference(subst,[],[refute_0_69:[bind(X_10,$fot(identity)),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_75,plain,
( double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)) != X_14
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)),X_14) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_76,plain,
( double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)) != X_14
| double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_46,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(identity)),X_14)),inverse(identity)),X_14) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_79,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_80,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_81,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_83,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_78,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(identity,X_14) = inverse(inverse(X_14)),
inference(subst,[],[refute_0_84:[bind(X_3,$fot(X_14))]]) ).
cnf(refute_0_86,plain,
double_divide(identity,multiply(identity,X_14)) = double_divide(identity,multiply(identity,X_14)),
introduced(tautology,[refl,[$fot(double_divide(identity,multiply(identity,X_14)))]]) ).
cnf(refute_0_87,plain,
( multiply(identity,X_14) != inverse(inverse(X_14))
| double_divide(identity,multiply(identity,X_14)) != double_divide(identity,multiply(identity,X_14))
| double_divide(identity,multiply(identity,X_14)) = double_divide(identity,inverse(inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(identity,X_14)),double_divide(identity,multiply(identity,X_14))) ),[1,1],$fot(inverse(inverse(X_14)))]]) ).
cnf(refute_0_88,plain,
( multiply(identity,X_14) != inverse(inverse(X_14))
| double_divide(identity,multiply(identity,X_14)) = double_divide(identity,inverse(inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(identity,X_14)),double_divide(identity,multiply(identity,X_14))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(identity,multiply(identity,X_14)) = double_divide(identity,inverse(inverse(X_14))),
inference(resolve,[$cnf( $equal(multiply(identity,X_14),inverse(inverse(X_14))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)))]]) ).
cnf(refute_0_91,plain,
( double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity))
| double_divide(identity,multiply(identity,X_14)) != double_divide(identity,inverse(inverse(X_14)))
| double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(inverse(X_14))))]]) ).
cnf(refute_0_92,plain,
( double_divide(identity,multiply(identity,X_14)) != double_divide(identity,inverse(inverse(X_14)))
| double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(identity,X_14)),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_89,refute_0_92]) ).
cnf(refute_0_94,plain,
( double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != X_14
| double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),X_14) ),[0],$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_95,plain,
( double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)) != X_14
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(identity,X_14)),inverse(identity)),X_14) )],[refute_0_77,refute_0_95]) ).
cnf(refute_0_97,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) ),[0,0,1,0],$fot(X_14)]]) ).
cnf(refute_0_98,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_73,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(X_11))),
inference(subst,[],[refute_0_99:[bind(X_14,$fot(X_11))]]) ).
cnf(refute_0_101,plain,
( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_11)))
| double_divide(identity,inverse(inverse(X_11))) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[0],$fot(double_divide(identity,inverse(inverse(X_11))))]]) ).
cnf(refute_0_102,plain,
( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(identity,inverse(inverse(X_11))) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_11)))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
double_divide(identity,inverse(inverse(X_11))) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_72,refute_0_102]) ).
cnf(refute_0_104,plain,
inverse(double_divide(identity,inverse(X_14))) = multiply(inverse(X_14),identity),
inference(subst,[],[refute_0_51:[bind(A,$fot(inverse(X_14))),bind(B,$fot(identity))]]) ).
cnf(refute_0_105,plain,
double_divide(double_divide(identity,inverse(X_14)),identity) = inverse(double_divide(identity,inverse(X_14))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,inverse(X_14))))]]) ).
cnf(refute_0_106,plain,
( double_divide(double_divide(identity,inverse(X_14)),identity) != inverse(double_divide(identity,inverse(X_14)))
| inverse(double_divide(identity,inverse(X_14))) != multiply(inverse(X_14),identity)
| double_divide(double_divide(identity,inverse(X_14)),identity) = multiply(inverse(X_14),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(identity,inverse(X_14)),identity))),bind(Y,$fot(inverse(double_divide(identity,inverse(X_14))))),bind(Z,$fot(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_107,plain,
( inverse(double_divide(identity,inverse(X_14))) != multiply(inverse(X_14),identity)
| double_divide(double_divide(identity,inverse(X_14)),identity) = multiply(inverse(X_14),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),identity),inverse(double_divide(identity,inverse(X_14)))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(double_divide(identity,inverse(X_14)),identity) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(X_14))),multiply(inverse(X_14),identity)) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_41:[bind(X_10,$fot(inverse(X_14))),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_110,plain,
( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(X_14)]]) ).
cnf(refute_0_111,plain,
( double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) )],[refute_0_96,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(double_divide(inverse(X_14),X_14),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_14),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))),inverse(identity)),identity) )],[refute_0_109,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(double_divide(inverse(identity),identity),inverse(identity)) = identity,
inference(subst,[],[refute_0_112:[bind(X_14,$fot(identity))]]) ).
cnf(refute_0_114,plain,
inverse(inverse(identity)) = double_divide(inverse(identity),identity),
inference(subst,[],[inverse:[bind(A,$fot(inverse(identity)))]]) ).
cnf(refute_0_115,plain,
( inverse(inverse(identity)) != double_divide(inverse(identity),identity)
| double_divide(inverse(identity),identity) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(double_divide(inverse(identity),identity)))]]) ).
cnf(refute_0_116,plain,
double_divide(inverse(identity),identity) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(inverse(identity),identity)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != identity
| double_divide(inverse(identity),identity) != inverse(inverse(identity))
| double_divide(inverse(inverse(identity)),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),identity) ),[0,0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_118,plain,
( double_divide(double_divide(inverse(identity),identity),inverse(identity)) != identity
| double_divide(inverse(inverse(identity)),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),identity),inverse(inverse(identity))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),identity),inverse(identity)),identity) )],[refute_0_113,refute_0_118]) ).
cnf(refute_0_120,plain,
double_divide(double_divide(X_17,double_divide(double_divide(X_17,inverse(X_17)),inverse(identity))),inverse(identity)) = X_17,
inference(subst,[],[refute_0_41:[bind(X_10,$fot(X_17)),bind(X_11,$fot(X_17))]]) ).
cnf(refute_0_121,plain,
identity = double_divide(X_17,inverse(X_17)),
inference(subst,[],[identity:[bind(A,$fot(X_17))]]) ).
cnf(refute_0_122,plain,
( identity != double_divide(X_17,inverse(X_17))
| double_divide(X_17,inverse(X_17)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_17,inverse(X_17))))]]) ).
cnf(refute_0_123,plain,
double_divide(X_17,inverse(X_17)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_17,inverse(X_17))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( double_divide(X_17,inverse(X_17)) != identity
| double_divide(double_divide(X_17,double_divide(double_divide(X_17,inverse(X_17)),inverse(identity))),inverse(identity)) != X_17
| double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(double_divide(X_17,inverse(X_17)),inverse(identity))),inverse(identity)),X_17) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_125,plain,
( double_divide(double_divide(X_17,double_divide(double_divide(X_17,inverse(X_17)),inverse(identity))),inverse(identity)) != X_17
| double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) = X_17 ),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),identity) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) = X_17,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(double_divide(X_17,inverse(X_17)),inverse(identity))),inverse(identity)),X_17) )],[refute_0_120,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(X_17,identity) = inverse(X_17),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_17))]]) ).
cnf(refute_0_128,plain,
double_divide(X_17,double_divide(identity,inverse(identity))) = double_divide(X_17,double_divide(identity,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(X_17,double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_129,plain,
( double_divide(X_17,double_divide(identity,inverse(identity))) != double_divide(X_17,double_divide(identity,inverse(identity)))
| double_divide(identity,inverse(identity)) != identity
| double_divide(X_17,double_divide(identity,inverse(identity))) = double_divide(X_17,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,double_divide(identity,inverse(identity))),double_divide(X_17,double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_130,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(X_17,double_divide(identity,inverse(identity))) = double_divide(X_17,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,double_divide(identity,inverse(identity))),double_divide(X_17,double_divide(identity,inverse(identity)))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(X_17,double_divide(identity,inverse(identity))) = double_divide(X_17,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_46,refute_0_130]) ).
cnf(refute_0_132,plain,
( double_divide(X_17,double_divide(identity,inverse(identity))) != double_divide(X_17,identity)
| double_divide(X_17,identity) != inverse(X_17)
| double_divide(X_17,double_divide(identity,inverse(identity))) = inverse(X_17) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(X_17,double_divide(identity,inverse(identity))))),bind(Y,$fot(double_divide(X_17,identity))),bind(Z,$fot(inverse(X_17)))]]) ).
cnf(refute_0_133,plain,
( double_divide(X_17,identity) != inverse(X_17)
| double_divide(X_17,double_divide(identity,inverse(identity))) = inverse(X_17) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,double_divide(identity,inverse(identity))),double_divide(X_17,identity)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(X_17,double_divide(identity,inverse(identity))) = inverse(X_17),
inference(resolve,[$cnf( $equal(double_divide(X_17,identity),inverse(X_17)) )],[refute_0_127,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_136,plain,
( double_divide(X_17,double_divide(identity,inverse(identity))) != inverse(X_17)
| double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity))
| double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_17),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity))) ),[1,0],$fot(inverse(X_17))]]) ).
cnf(refute_0_137,plain,
( double_divide(X_17,double_divide(identity,inverse(identity))) != inverse(X_17)
| double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_17),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_17),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(X_17)) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
( double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) != X_17
| double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(inverse(X_17),inverse(identity))
| double_divide(inverse(X_17),inverse(identity)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)),X_17) ),[0],$fot(double_divide(inverse(X_17),inverse(identity)))]]) ).
cnf(refute_0_140,plain,
( double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)) != X_17
| double_divide(inverse(X_17),inverse(identity)) = X_17 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(inverse(X_17),inverse(identity))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
double_divide(inverse(X_17),inverse(identity)) = X_17,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(identity,inverse(identity))),inverse(identity)),X_17) )],[refute_0_126,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_141:[bind(X_17,$fot(inverse(identity)))]]) ).
cnf(refute_0_143,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != identity
| double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| inverse(identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_144,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != identity
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),identity) )],[refute_0_119,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)))]]) ).
cnf(refute_0_147,plain,
( double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_148,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),inverse(identity))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(X_14,identity) = inverse(X_14),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_151,plain,
double_divide(X_14,inverse(identity)) = double_divide(X_14,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_14,inverse(identity)))]]) ).
cnf(refute_0_152,plain,
( double_divide(X_14,inverse(identity)) != double_divide(X_14,inverse(identity))
| inverse(identity) != identity
| double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_153,plain,
( inverse(identity) != identity
| double_divide(X_14,inverse(identity)) = double_divide(X_14,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,inverse(identity))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(X_14,inverse(identity)) = double_divide(X_14,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_153]) ).
cnf(refute_0_155,plain,
( double_divide(X_14,identity) != inverse(X_14)
| double_divide(X_14,inverse(identity)) != double_divide(X_14,identity)
| double_divide(X_14,inverse(identity)) = inverse(X_14) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(X_14,inverse(identity)))),bind(Y,$fot(double_divide(X_14,identity))),bind(Z,$fot(inverse(X_14)))]]) ).
cnf(refute_0_156,plain,
( double_divide(X_14,identity) != inverse(X_14)
| double_divide(X_14,inverse(identity)) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),double_divide(X_14,identity)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(X_14,inverse(identity)) = inverse(X_14),
inference(resolve,[$cnf( $equal(double_divide(X_14,identity),inverse(X_14)) )],[refute_0_150,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,double_divide(X_14,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_14,inverse(identity))))]]) ).
cnf(refute_0_159,plain,
( double_divide(X_14,inverse(identity)) != inverse(X_14)
| double_divide(identity,double_divide(X_14,inverse(identity))) != double_divide(identity,double_divide(X_14,inverse(identity)))
| double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(X_14,inverse(identity))),double_divide(identity,double_divide(X_14,inverse(identity)))) ),[1,1],$fot(inverse(X_14))]]) ).
cnf(refute_0_160,plain,
( double_divide(X_14,inverse(identity)) != inverse(X_14)
| double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_14,inverse(identity))),double_divide(identity,double_divide(X_14,inverse(identity)))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
double_divide(identity,double_divide(X_14,inverse(identity))) = double_divide(identity,inverse(X_14)),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(identity)),inverse(X_14)) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_163,plain,
( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity))
| double_divide(identity,double_divide(X_14,inverse(identity))) != double_divide(identity,inverse(X_14))
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(X_14)))]]) ).
cnf(refute_0_164,plain,
( double_divide(identity,double_divide(X_14,inverse(identity))) != double_divide(identity,inverse(X_14))
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_14,inverse(identity))),double_divide(identity,inverse(X_14))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),inverse(identity))
| double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,inverse(X_14)),identity)))]]) ).
cnf(refute_0_167,plain,
( double_divide(double_divide(identity,inverse(X_14)),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),inverse(identity))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = double_divide(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_149,refute_0_167]) ).
cnf(refute_0_169,plain,
( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,inverse(X_14)),identity) != multiply(inverse(X_14),identity)
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(X_14)),identity))),bind(Z,$fot(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_170,plain,
( double_divide(double_divide(identity,inverse(X_14)),identity) != multiply(inverse(X_14),identity)
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = multiply(inverse(X_14),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(X_14)),identity),multiply(inverse(X_14),identity)) )],[refute_0_108,refute_0_170]) ).
cnf(refute_0_172,plain,
( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != multiply(inverse(X_14),identity)
| double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
| multiply(inverse(X_14),identity) = double_divide(identity,inverse(inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) ),[0],$fot(multiply(inverse(X_14),identity))]]) ).
cnf(refute_0_173,plain,
( double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(X_14)))
| multiply(inverse(X_14),identity) = double_divide(identity,inverse(inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),multiply(inverse(X_14),identity)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(inverse(X_14),identity) = double_divide(identity,inverse(inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_14,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_99,refute_0_173]) ).
cnf(refute_0_175,plain,
( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
| double_divide(identity,inverse(inverse(X_14))) = multiply(inverse(X_14),identity) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_14),identity))),bind(Y,$fot(double_divide(identity,inverse(inverse(X_14)))))]]) ).
cnf(refute_0_176,plain,
double_divide(identity,inverse(inverse(X_14))) = multiply(inverse(X_14),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
double_divide(identity,inverse(inverse(X_11))) = multiply(inverse(X_11),identity),
inference(subst,[],[refute_0_176:[bind(X_14,$fot(X_11))]]) ).
cnf(refute_0_178,plain,
( double_divide(identity,inverse(inverse(X_11))) != multiply(inverse(X_11),identity)
| double_divide(identity,inverse(inverse(X_11))) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| multiply(inverse(X_11),identity) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(X_11))),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[0],$fot(multiply(inverse(X_11),identity))]]) ).
cnf(refute_0_179,plain,
( double_divide(identity,inverse(inverse(X_11))) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| multiply(inverse(X_11),identity) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_11))),multiply(inverse(X_11),identity)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
double_divide(X_10,inverse(identity)) = double_divide(X_10,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(identity)))]]) ).
cnf(refute_0_181,plain,
( double_divide(X_10,inverse(identity)) != double_divide(X_10,inverse(identity))
| inverse(identity) != identity
| double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_182,plain,
( inverse(identity) != identity
| double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
double_divide(X_10,inverse(identity)) = double_divide(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_182]) ).
cnf(refute_0_184,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,inverse(identity)) != double_divide(X_10,identity)
| double_divide(X_10,inverse(identity)) = inverse(X_10) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(X_10,inverse(identity)))),bind(Y,$fot(double_divide(X_10,identity))),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_185,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,inverse(identity)) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,identity)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
double_divide(X_10,inverse(identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_22,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(double_divide(X_10,inverse(identity)),X_11),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_10,inverse(identity)),X_11))]]) ).
cnf(refute_0_188,plain,
( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(double_divide(X_10,inverse(identity)),X_11)
| double_divide(X_10,inverse(identity)) != inverse(X_10)
| multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(double_divide(X_10,inverse(identity)),X_11)) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_189,plain,
( double_divide(X_10,inverse(identity)) != inverse(X_10)
| multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(double_divide(X_10,inverse(identity)),X_11)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(double_divide(X_10,inverse(identity)),X_11) = multiply(inverse(X_10),X_11),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),inverse(X_10)) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),
introduced(tautology,[refl,[$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).
cnf(refute_0_192,plain,
( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(inverse(X_10),X_11)
| double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) ),[1,1],$fot(multiply(inverse(X_10),X_11))]]) ).
cnf(refute_0_193,plain,
( multiply(double_divide(X_10,inverse(identity)),X_11) != multiply(inverse(X_10),X_11)
| double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) = double_divide(X_10,multiply(inverse(X_10),X_11)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_10,inverse(identity)),X_11),multiply(inverse(X_10),X_11)) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)) != double_divide(X_10,multiply(inverse(X_10),X_11))
| multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(inverse(X_10),X_11))) ),[0],$fot(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)))]]) ).
cnf(refute_0_196,plain,
( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11)),double_divide(X_10,multiply(inverse(X_10),X_11))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( double_divide(identity,inverse(inverse(X_11))) != double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))
| multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_179,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(X_11),identity) = double_divide(X_10,multiply(inverse(X_10),X_11)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_11))),double_divide(X_10,multiply(double_divide(X_10,inverse(identity)),X_11))) )],[refute_0_103,refute_0_197]) ).
cnf(refute_0_199,plain,
inverse(double_divide(identity,inverse(inverse(X_14)))) = multiply(inverse(inverse(X_14)),identity),
inference(subst,[],[refute_0_51:[bind(A,$fot(inverse(inverse(X_14)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_200,plain,
double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = inverse(double_divide(identity,inverse(inverse(X_14)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,inverse(inverse(X_14)))))]]) ).
cnf(refute_0_201,plain,
( double_divide(double_divide(identity,inverse(inverse(X_14))),identity) != inverse(double_divide(identity,inverse(inverse(X_14))))
| inverse(double_divide(identity,inverse(inverse(X_14)))) != multiply(inverse(inverse(X_14)),identity)
| double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = multiply(inverse(inverse(X_14)),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),identity))),bind(Y,$fot(inverse(double_divide(identity,inverse(inverse(X_14)))))),bind(Z,$fot(multiply(inverse(inverse(X_14)),identity)))]]) ).
cnf(refute_0_202,plain,
( inverse(double_divide(identity,inverse(inverse(X_14)))) != multiply(inverse(inverse(X_14)),identity)
| double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = multiply(inverse(inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),identity),inverse(double_divide(identity,inverse(inverse(X_14))))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
double_divide(double_divide(identity,inverse(inverse(X_14))),identity) = multiply(inverse(inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_14)))),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_205,plain,
( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_206,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_206]) ).
cnf(refute_0_208,plain,
( double_divide(double_divide(identity,inverse(inverse(X_14))),identity) != multiply(inverse(inverse(X_14)),identity)
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_14))),identity)
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = multiply(inverse(inverse(X_14)),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(inverse(X_14))),identity))),bind(Z,$fot(multiply(inverse(inverse(X_14)),identity)))]]) ).
cnf(refute_0_209,plain,
( double_divide(double_divide(identity,inverse(inverse(X_14))),identity) != multiply(inverse(inverse(X_14)),identity)
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = multiply(inverse(inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_14))),identity)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) = multiply(inverse(inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),identity),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_203,refute_0_209]) ).
cnf(refute_0_211,plain,
( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != multiply(inverse(inverse(X_14)),identity)
| multiply(inverse(inverse(X_14)),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) ),[0],$fot(multiply(inverse(inverse(X_14)),identity))]]) ).
cnf(refute_0_212,plain,
( double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)) != X_14
| multiply(inverse(inverse(X_14)),identity) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(inverse(inverse(X_14)),identity) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_14))),inverse(identity)),X_14) )],[refute_0_96,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(inverse(X_17),identity) = inverse(inverse(X_17)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_17)))]]) ).
cnf(refute_0_215,plain,
double_divide(inverse(X_17),inverse(identity)) = double_divide(inverse(X_17),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_17),inverse(identity)))]]) ).
cnf(refute_0_216,plain,
( double_divide(inverse(X_17),inverse(identity)) != double_divide(inverse(X_17),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_17),inverse(identity)) = double_divide(inverse(X_17),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),double_divide(inverse(X_17),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_217,plain,
( inverse(identity) != identity
| double_divide(inverse(X_17),inverse(identity)) = double_divide(inverse(X_17),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),double_divide(inverse(X_17),inverse(identity))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(inverse(X_17),inverse(identity)) = double_divide(inverse(X_17),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_217]) ).
cnf(refute_0_219,plain,
( double_divide(inverse(X_17),identity) != inverse(inverse(X_17))
| double_divide(inverse(X_17),inverse(identity)) != double_divide(inverse(X_17),identity)
| double_divide(inverse(X_17),inverse(identity)) = inverse(inverse(X_17)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(inverse(X_17),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_17),identity))),bind(Z,$fot(inverse(inverse(X_17))))]]) ).
cnf(refute_0_220,plain,
( double_divide(inverse(X_17),identity) != inverse(inverse(X_17))
| double_divide(inverse(X_17),inverse(identity)) = inverse(inverse(X_17)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),double_divide(inverse(X_17),identity)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
double_divide(inverse(X_17),inverse(identity)) = inverse(inverse(X_17)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),identity),inverse(inverse(X_17))) )],[refute_0_214,refute_0_220]) ).
cnf(refute_0_222,plain,
( double_divide(inverse(X_17),inverse(identity)) != X_17
| double_divide(inverse(X_17),inverse(identity)) != inverse(inverse(X_17))
| inverse(inverse(X_17)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),X_17) ),[0],$fot(inverse(inverse(X_17)))]]) ).
cnf(refute_0_223,plain,
( double_divide(inverse(X_17),inverse(identity)) != X_17
| inverse(inverse(X_17)) = X_17 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),inverse(inverse(X_17))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
inverse(inverse(X_17)) = X_17,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),inverse(identity)),X_17) )],[refute_0_141,refute_0_223]) ).
cnf(refute_0_225,plain,
inverse(inverse(X_14)) = X_14,
inference(subst,[],[refute_0_224:[bind(X_17,$fot(X_14))]]) ).
cnf(refute_0_226,plain,
multiply(inverse(inverse(X_14)),identity) = multiply(inverse(inverse(X_14)),identity),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_14)),identity))]]) ).
cnf(refute_0_227,plain,
( multiply(inverse(inverse(X_14)),identity) != multiply(inverse(inverse(X_14)),identity)
| inverse(inverse(X_14)) != X_14
| multiply(inverse(inverse(X_14)),identity) = multiply(X_14,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),multiply(inverse(inverse(X_14)),identity)) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_228,plain,
( inverse(inverse(X_14)) != X_14
| multiply(inverse(inverse(X_14)),identity) = multiply(X_14,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),multiply(inverse(inverse(X_14)),identity)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(inverse(inverse(X_14)),identity) = multiply(X_14,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_225,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(inverse(inverse(X_14)),identity) != X_14
| multiply(inverse(inverse(X_14)),identity) != multiply(X_14,identity)
| multiply(X_14,identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),X_14) ),[0],$fot(multiply(X_14,identity))]]) ).
cnf(refute_0_231,plain,
( multiply(inverse(inverse(X_14)),identity) != X_14
| multiply(X_14,identity) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),multiply(X_14,identity)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(X_14,identity) = X_14,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),identity),X_14) )],[refute_0_213,refute_0_231]) ).
cnf(refute_0_233,plain,
multiply(inverse(X_11),identity) = inverse(X_11),
inference(subst,[],[refute_0_232:[bind(X_14,$fot(inverse(X_11)))]]) ).
cnf(refute_0_234,plain,
( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(inverse(X_10),X_11))
| multiply(inverse(X_11),identity) != inverse(X_11)
| inverse(X_11) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(inverse(X_10),X_11))) ),[0],$fot(inverse(X_11))]]) ).
cnf(refute_0_235,plain,
( multiply(inverse(X_11),identity) != double_divide(X_10,multiply(inverse(X_10),X_11))
| inverse(X_11) = double_divide(X_10,multiply(inverse(X_10),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),inverse(X_11)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
inverse(X_11) = double_divide(X_10,multiply(inverse(X_10),X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),identity),double_divide(X_10,multiply(inverse(X_10),X_11))) )],[refute_0_198,refute_0_235]) ).
cnf(refute_0_237,plain,
inverse(X_32) = double_divide(inverse(X_17),multiply(inverse(inverse(X_17)),X_32)),
inference(subst,[],[refute_0_236:[bind(X_10,$fot(inverse(X_17))),bind(X_11,$fot(X_32))]]) ).
cnf(refute_0_238,plain,
( inverse(X_32) != double_divide(inverse(X_17),multiply(inverse(inverse(X_17)),X_32))
| inverse(inverse(X_17)) != X_17
| inverse(X_32) = double_divide(inverse(X_17),multiply(X_17,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_32),double_divide(inverse(X_17),multiply(inverse(inverse(X_17)),X_32))) ),[1,1,0],$fot(X_17)]]) ).
cnf(refute_0_239,plain,
( inverse(X_32) != double_divide(inverse(X_17),multiply(inverse(inverse(X_17)),X_32))
| inverse(X_32) = double_divide(inverse(X_17),multiply(X_17,X_32)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),X_17) )],[refute_0_224,refute_0_238]) ).
cnf(refute_0_240,plain,
inverse(X_32) = double_divide(inverse(X_17),multiply(X_17,X_32)),
inference(resolve,[$cnf( $equal(inverse(X_32),double_divide(inverse(X_17),multiply(inverse(inverse(X_17)),X_32))) )],[refute_0_237,refute_0_239]) ).
cnf(refute_0_241,plain,
inverse(X_36) = double_divide(inverse(multiply(inverse(X_36),X_32)),multiply(multiply(inverse(X_36),X_32),X_36)),
inference(subst,[],[refute_0_240:[bind(X_17,$fot(multiply(inverse(X_36),X_32))),bind(X_32,$fot(X_36))]]) ).
cnf(refute_0_242,plain,
multiply(multiply(inverse(B),X_32),B) = inverse(double_divide(B,multiply(inverse(B),X_32))),
inference(subst,[],[refute_0_8:[bind(A,$fot(multiply(inverse(B),X_32)))]]) ).
cnf(refute_0_243,plain,
inverse(X_32) = double_divide(B,multiply(inverse(B),X_32)),
inference(subst,[],[refute_0_236:[bind(X_10,$fot(B)),bind(X_11,$fot(X_32))]]) ).
cnf(refute_0_244,plain,
( inverse(X_32) != double_divide(B,multiply(inverse(B),X_32))
| double_divide(B,multiply(inverse(B),X_32)) = inverse(X_32) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_32))),bind(Y,$fot(double_divide(B,multiply(inverse(B),X_32))))]]) ).
cnf(refute_0_245,plain,
double_divide(B,multiply(inverse(B),X_32)) = inverse(X_32),
inference(resolve,[$cnf( $equal(inverse(X_32),double_divide(B,multiply(inverse(B),X_32))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
( multiply(multiply(inverse(B),X_32),B) != inverse(double_divide(B,multiply(inverse(B),X_32)))
| double_divide(B,multiply(inverse(B),X_32)) != inverse(X_32)
| multiply(multiply(inverse(B),X_32),B) = inverse(inverse(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),inverse(double_divide(B,multiply(inverse(B),X_32)))) ),[1,0],$fot(inverse(X_32))]]) ).
cnf(refute_0_247,plain,
( multiply(multiply(inverse(B),X_32),B) != inverse(double_divide(B,multiply(inverse(B),X_32)))
| multiply(multiply(inverse(B),X_32),B) = inverse(inverse(X_32)) ),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(inverse(B),X_32)),inverse(X_32)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(multiply(inverse(B),X_32),B) = inverse(inverse(X_32)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),inverse(double_divide(B,multiply(inverse(B),X_32)))) )],[refute_0_242,refute_0_247]) ).
cnf(refute_0_249,plain,
inverse(inverse(X_32)) = X_32,
inference(subst,[],[refute_0_224:[bind(X_17,$fot(X_32))]]) ).
cnf(refute_0_250,plain,
( multiply(multiply(inverse(B),X_32),B) != inverse(inverse(X_32))
| inverse(inverse(X_32)) != X_32
| multiply(multiply(inverse(B),X_32),B) = X_32 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(inverse(B),X_32),B),X_32) ),[0],$fot(inverse(inverse(X_32)))]]) ).
cnf(refute_0_251,plain,
( multiply(multiply(inverse(B),X_32),B) != inverse(inverse(X_32))
| multiply(multiply(inverse(B),X_32),B) = X_32 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_32)),X_32) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(multiply(inverse(B),X_32),B) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),inverse(inverse(X_32))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(multiply(inverse(X_36),X_32),X_36) = X_32,
inference(subst,[],[refute_0_252:[bind(B,$fot(X_36))]]) ).
cnf(refute_0_254,plain,
( multiply(multiply(inverse(X_36),X_32),X_36) != X_32
| inverse(X_36) != double_divide(inverse(multiply(inverse(X_36),X_32)),multiply(multiply(inverse(X_36),X_32),X_36))
| inverse(X_36) = double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_36),double_divide(inverse(multiply(inverse(X_36),X_32)),multiply(multiply(inverse(X_36),X_32),X_36))) ),[1,1],$fot(X_32)]]) ).
cnf(refute_0_255,plain,
( inverse(X_36) != double_divide(inverse(multiply(inverse(X_36),X_32)),multiply(multiply(inverse(X_36),X_32),X_36))
| inverse(X_36) = double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_36),X_32),X_36),X_32) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
inverse(X_36) = double_divide(inverse(multiply(inverse(X_36),X_32)),X_32),
inference(resolve,[$cnf( $equal(inverse(X_36),double_divide(inverse(multiply(inverse(X_36),X_32)),multiply(multiply(inverse(X_36),X_32),X_36))) )],[refute_0_241,refute_0_255]) ).
cnf(refute_0_257,plain,
double_divide(double_divide(identity,inverse(inverse(double_divide(B,A)))),inverse(identity)) = double_divide(B,A),
inference(subst,[],[refute_0_96:[bind(X_14,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_258,plain,
( double_divide(double_divide(identity,inverse(inverse(double_divide(B,A)))),inverse(identity)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(double_divide(B,A)))),inverse(identity)),double_divide(B,A)) ),[0,0,1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_259,plain,
( double_divide(double_divide(identity,inverse(inverse(double_divide(B,A)))),inverse(identity)) != double_divide(B,A)
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_51,refute_0_258]) ).
cnf(refute_0_260,plain,
double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(double_divide(B,A)))),inverse(identity)),double_divide(B,A)) )],[refute_0_257,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(double_divide(identity,inverse(multiply(A,B)))) = multiply(inverse(multiply(A,B)),identity),
inference(subst,[],[refute_0_51:[bind(A,$fot(inverse(multiply(A,B)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_262,plain,
double_divide(double_divide(identity,inverse(multiply(A,B))),identity) = inverse(double_divide(identity,inverse(multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,inverse(multiply(A,B)))))]]) ).
cnf(refute_0_263,plain,
( double_divide(double_divide(identity,inverse(multiply(A,B))),identity) != inverse(double_divide(identity,inverse(multiply(A,B))))
| inverse(double_divide(identity,inverse(multiply(A,B)))) != multiply(inverse(multiply(A,B)),identity)
| double_divide(double_divide(identity,inverse(multiply(A,B))),identity) = multiply(inverse(multiply(A,B)),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(identity,inverse(multiply(A,B))),identity))),bind(Y,$fot(inverse(double_divide(identity,inverse(multiply(A,B)))))),bind(Z,$fot(multiply(inverse(multiply(A,B)),identity)))]]) ).
cnf(refute_0_264,plain,
( inverse(double_divide(identity,inverse(multiply(A,B)))) != multiply(inverse(multiply(A,B)),identity)
| double_divide(double_divide(identity,inverse(multiply(A,B))),identity) = multiply(inverse(multiply(A,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),identity),inverse(double_divide(identity,inverse(multiply(A,B))))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
double_divide(double_divide(identity,inverse(multiply(A,B))),identity) = multiply(inverse(multiply(A,B)),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(multiply(A,B)))),multiply(inverse(multiply(A,B)),identity)) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_267,plain,
( double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) != double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)),double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_268,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)),double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = double_divide(double_divide(identity,inverse(multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_268]) ).
cnf(refute_0_270,plain,
( double_divide(double_divide(identity,inverse(multiply(A,B))),identity) != multiply(inverse(multiply(A,B)),identity)
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) != double_divide(double_divide(identity,inverse(multiply(A,B))),identity)
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = multiply(inverse(multiply(A,B)),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(multiply(A,B))),identity))),bind(Z,$fot(multiply(inverse(multiply(A,B)),identity)))]]) ).
cnf(refute_0_271,plain,
( double_divide(double_divide(identity,inverse(multiply(A,B))),identity) != multiply(inverse(multiply(A,B)),identity)
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = multiply(inverse(multiply(A,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)),double_divide(double_divide(identity,inverse(multiply(A,B))),identity)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) = multiply(inverse(multiply(A,B)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),identity),multiply(inverse(multiply(A,B)),identity)) )],[refute_0_265,refute_0_271]) ).
cnf(refute_0_273,plain,
( double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) != multiply(inverse(multiply(A,B)),identity)
| double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) != double_divide(B,A)
| multiply(inverse(multiply(A,B)),identity) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)),double_divide(B,A)) ),[0],$fot(multiply(inverse(multiply(A,B)),identity))]]) ).
cnf(refute_0_274,plain,
( double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)) != double_divide(B,A)
| multiply(inverse(multiply(A,B)),identity) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)),multiply(inverse(multiply(A,B)),identity)) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(inverse(multiply(A,B)),identity) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(multiply(A,B))),inverse(identity)),double_divide(B,A)) )],[refute_0_260,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(inverse(multiply(A,B)),identity) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_232:[bind(X_14,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_277,plain,
( multiply(inverse(multiply(A,B)),identity) != double_divide(B,A)
| multiply(inverse(multiply(A,B)),identity) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(A,B)),identity),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_278,plain,
( multiply(inverse(multiply(A,B)),identity) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,B)),identity),inverse(multiply(A,B))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,B)),identity),double_divide(B,A)) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
inverse(multiply(inverse(X_36),X_32)) = double_divide(X_32,inverse(X_36)),
inference(subst,[],[refute_0_279:[bind(A,$fot(inverse(X_36))),bind(B,$fot(X_32))]]) ).
cnf(refute_0_281,plain,
double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) = double_divide(inverse(multiply(inverse(X_36),X_32)),X_32),
introduced(tautology,[refl,[$fot(double_divide(inverse(multiply(inverse(X_36),X_32)),X_32))]]) ).
cnf(refute_0_282,plain,
( double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) != double_divide(inverse(multiply(inverse(X_36),X_32)),X_32)
| inverse(multiply(inverse(X_36),X_32)) != double_divide(X_32,inverse(X_36))
| double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) = double_divide(double_divide(X_32,inverse(X_36)),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_36),X_32)),X_32),double_divide(inverse(multiply(inverse(X_36),X_32)),X_32)) ),[1,0],$fot(double_divide(X_32,inverse(X_36)))]]) ).
cnf(refute_0_283,plain,
( inverse(multiply(inverse(X_36),X_32)) != double_divide(X_32,inverse(X_36))
| double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) = double_divide(double_divide(X_32,inverse(X_36)),X_32) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_36),X_32)),X_32),double_divide(inverse(multiply(inverse(X_36),X_32)),X_32)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) = double_divide(double_divide(X_32,inverse(X_36)),X_32),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_36),X_32)),double_divide(X_32,inverse(X_36))) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
( double_divide(inverse(multiply(inverse(X_36),X_32)),X_32) != double_divide(double_divide(X_32,inverse(X_36)),X_32)
| inverse(X_36) != double_divide(inverse(multiply(inverse(X_36),X_32)),X_32)
| inverse(X_36) = double_divide(double_divide(X_32,inverse(X_36)),X_32) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_36),double_divide(inverse(multiply(inverse(X_36),X_32)),X_32)) ),[1],$fot(double_divide(double_divide(X_32,inverse(X_36)),X_32))]]) ).
cnf(refute_0_286,plain,
( inverse(X_36) != double_divide(inverse(multiply(inverse(X_36),X_32)),X_32)
| inverse(X_36) = double_divide(double_divide(X_32,inverse(X_36)),X_32) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_36),X_32)),X_32),double_divide(double_divide(X_32,inverse(X_36)),X_32)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
inverse(X_36) = double_divide(double_divide(X_32,inverse(X_36)),X_32),
inference(resolve,[$cnf( $equal(inverse(X_36),double_divide(inverse(multiply(inverse(X_36),X_32)),X_32)) )],[refute_0_256,refute_0_286]) ).
cnf(refute_0_288,plain,
inverse(inverse(X_17)) = double_divide(double_divide(X_37,inverse(inverse(X_17))),X_37),
inference(subst,[],[refute_0_287:[bind(X_32,$fot(X_37)),bind(X_36,$fot(inverse(X_17)))]]) ).
cnf(refute_0_289,plain,
( inverse(inverse(X_17)) != X_17
| inverse(inverse(X_17)) != double_divide(double_divide(X_37,inverse(inverse(X_17))),X_37)
| inverse(inverse(X_17)) = double_divide(double_divide(X_37,X_17),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_17)),double_divide(double_divide(X_37,inverse(inverse(X_17))),X_37)) ),[1,0,1],$fot(X_17)]]) ).
cnf(refute_0_290,plain,
( inverse(inverse(X_17)) != double_divide(double_divide(X_37,inverse(inverse(X_17))),X_37)
| inverse(inverse(X_17)) = double_divide(double_divide(X_37,X_17),X_37) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),X_17) )],[refute_0_224,refute_0_289]) ).
cnf(refute_0_291,plain,
inverse(inverse(X_17)) = double_divide(double_divide(X_37,X_17),X_37),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),double_divide(double_divide(X_37,inverse(inverse(X_17))),X_37)) )],[refute_0_288,refute_0_290]) ).
cnf(refute_0_292,plain,
( inverse(inverse(X_17)) != X_17
| inverse(inverse(X_17)) != double_divide(double_divide(X_37,X_17),X_37)
| X_17 = double_divide(double_divide(X_37,X_17),X_37) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_17)),double_divide(double_divide(X_37,X_17),X_37)) ),[0],$fot(X_17)]]) ).
cnf(refute_0_293,plain,
( inverse(inverse(X_17)) != double_divide(double_divide(X_37,X_17),X_37)
| X_17 = double_divide(double_divide(X_37,X_17),X_37) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),X_17) )],[refute_0_224,refute_0_292]) ).
cnf(refute_0_294,plain,
X_17 = double_divide(double_divide(X_37,X_17),X_37),
inference(resolve,[$cnf( $equal(inverse(inverse(X_17)),double_divide(double_divide(X_37,X_17),X_37)) )],[refute_0_291,refute_0_293]) ).
cnf(refute_0_295,plain,
X_39 = double_divide(double_divide(A,X_39),A),
inference(subst,[],[refute_0_294:[bind(X_17,$fot(X_39)),bind(X_37,$fot(A))]]) ).
cnf(refute_0_296,plain,
( X_39 != double_divide(double_divide(A,X_39),A)
| double_divide(double_divide(A,X_39),A) = X_39 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_39)),bind(Y,$fot(double_divide(double_divide(A,X_39),A)))]]) ).
cnf(refute_0_297,plain,
double_divide(double_divide(A,X_39),A) = X_39,
inference(resolve,[$cnf( $equal(X_39,double_divide(double_divide(A,X_39),A)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
( multiply(A,double_divide(A,X_39)) != inverse(double_divide(double_divide(A,X_39),A))
| double_divide(double_divide(A,X_39),A) != X_39
| multiply(A,double_divide(A,X_39)) = inverse(X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(A,X_39)),inverse(double_divide(double_divide(A,X_39),A))) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_299,plain,
( multiply(A,double_divide(A,X_39)) != inverse(double_divide(double_divide(A,X_39),A))
| multiply(A,double_divide(A,X_39)) = inverse(X_39) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_39),A),X_39) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(A,double_divide(A,X_39)) = inverse(X_39),
inference(resolve,[$cnf( $equal(multiply(A,double_divide(A,X_39)),inverse(double_divide(double_divide(A,X_39),A))) )],[refute_0_9,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(A,double_divide(A,double_divide(A,X_73))) = inverse(double_divide(A,X_73)),
inference(subst,[],[refute_0_300:[bind(X_39,$fot(double_divide(A,X_73)))]]) ).
cnf(refute_0_302,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
inference(subst,[],[refute_0_41:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))))]]) ).
cnf(refute_0_303,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)) != B
| double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[0,0,1,0],$fot(B)]]) ).
cnf(refute_0_304,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),B) )],[refute_0_17,refute_0_303]) ).
cnf(refute_0_305,plain,
double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_302,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(identity,inverse(inverse(B))),
inference(subst,[],[refute_0_99:[bind(X_14,$fot(B))]]) ).
cnf(refute_0_307,plain,
( double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != double_divide(identity,inverse(inverse(B)))
| double_divide(identity,inverse(inverse(B))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[0],$fot(double_divide(identity,inverse(inverse(B))))]]) ).
cnf(refute_0_308,plain,
( double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| double_divide(identity,inverse(inverse(B))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),double_divide(identity,inverse(inverse(B)))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
double_divide(identity,inverse(inverse(B))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
double_divide(identity,inverse(inverse(B))) = multiply(inverse(B),identity),
inference(subst,[],[refute_0_176:[bind(X_14,$fot(B))]]) ).
cnf(refute_0_311,plain,
( double_divide(identity,inverse(inverse(B))) != multiply(inverse(B),identity)
| double_divide(identity,inverse(inverse(B))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| multiply(inverse(B),identity) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(B))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[0],$fot(multiply(inverse(B),identity))]]) ).
cnf(refute_0_312,plain,
( double_divide(identity,inverse(inverse(B))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| multiply(inverse(B),identity) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(B))),multiply(inverse(B),identity)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(inverse(B),identity) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(B))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(inverse(B),identity) = inverse(B),
inference(subst,[],[refute_0_232:[bind(X_14,$fot(inverse(B)))]]) ).
cnf(refute_0_315,plain,
( multiply(inverse(B),identity) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| multiply(inverse(B),identity) != inverse(B)
| inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(B),identity),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[0],$fot(inverse(B))]]) ).
cnf(refute_0_316,plain,
( multiply(inverse(B),identity) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),identity),inverse(B)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(inverse(X_14),identity) = inverse(X_14),
inference(subst,[],[refute_0_232:[bind(X_14,$fot(inverse(X_14)))]]) ).
cnf(refute_0_318,plain,
( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
| multiply(inverse(X_14),identity) != inverse(X_14)
| inverse(X_14) = double_divide(identity,inverse(inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_14),identity),double_divide(identity,inverse(inverse(X_14)))) ),[0],$fot(inverse(X_14))]]) ).
cnf(refute_0_319,plain,
( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
| inverse(X_14) = double_divide(identity,inverse(inverse(X_14))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),inverse(X_14)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,inverse(inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(identity,inverse(inverse(X_14))))]]) ).
cnf(refute_0_321,plain,
( double_divide(identity,inverse(inverse(X_14))) != double_divide(identity,inverse(inverse(X_14)))
| inverse(inverse(X_14)) != X_14
| double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),double_divide(identity,inverse(inverse(X_14)))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_322,plain,
( inverse(inverse(X_14)) != X_14
| double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,X_14) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
double_divide(identity,inverse(inverse(X_14))) = double_divide(identity,X_14),
inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_225,refute_0_322]) ).
cnf(refute_0_324,plain,
( double_divide(identity,inverse(inverse(X_14))) != double_divide(identity,X_14)
| inverse(X_14) != double_divide(identity,inverse(inverse(X_14)))
| inverse(X_14) = double_divide(identity,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_14),double_divide(identity,inverse(inverse(X_14)))) ),[1],$fot(double_divide(identity,X_14))]]) ).
cnf(refute_0_325,plain,
( inverse(X_14) != double_divide(identity,inverse(inverse(X_14)))
| inverse(X_14) = double_divide(identity,X_14) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_14))),double_divide(identity,X_14)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
( multiply(inverse(X_14),identity) != double_divide(identity,inverse(inverse(X_14)))
| inverse(X_14) = double_divide(identity,X_14) ),
inference(resolve,[$cnf( $equal(inverse(X_14),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_319,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(X_14) = double_divide(identity,X_14),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),double_divide(identity,inverse(inverse(X_14)))) )],[refute_0_174,refute_0_326]) ).
cnf(refute_0_328,plain,
( inverse(X_14) != double_divide(identity,X_14)
| double_divide(identity,X_14) = inverse(X_14) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_14))),bind(Y,$fot(double_divide(identity,X_14)))]]) ).
cnf(refute_0_329,plain,
double_divide(identity,X_14) = inverse(X_14),
inference(resolve,[$cnf( $equal(inverse(X_14),double_divide(identity,X_14)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
double_divide(identity,C) = inverse(C),
inference(subst,[],[refute_0_329:[bind(X_14,$fot(C))]]) ).
cnf(refute_0_331,plain,
double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) = double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))]]) ).
cnf(refute_0_332,plain,
( double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) != double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))
| double_divide(identity,C) != inverse(C)
| double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)),double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_333,plain,
( double_divide(identity,C) != inverse(C)
| double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)),double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(identity,C),inverse(C)) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))))]]) ).
cnf(refute_0_336,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[1,1],$fot(double_divide(double_divide(B,double_divide(A,C)),inverse(C)))]]) ).
cnf(refute_0_337,plain,
( double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)),double_divide(double_divide(B,double_divide(A,C)),inverse(C))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) ),[1],$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))))]]) ).
cnf(refute_0_340,plain,
( inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
( multiply(inverse(B),identity) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))
| inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
inference(resolve,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_316,refute_0_340]) ).
cnf(refute_0_342,plain,
inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
inference(resolve,[$cnf( $equal(multiply(inverse(B),identity),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(identity,C)))) )],[refute_0_313,refute_0_341]) ).
cnf(refute_0_343,plain,
inverse(double_divide(B,double_divide(A,C))) = multiply(double_divide(A,C),B),
inference(subst,[],[refute_0_51:[bind(A,$fot(double_divide(A,C)))]]) ).
cnf(refute_0_344,plain,
multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,inverse(double_divide(B,double_divide(A,C)))),
introduced(tautology,[refl,[$fot(multiply(C,inverse(double_divide(B,double_divide(A,C)))))]]) ).
cnf(refute_0_345,plain,
( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,inverse(double_divide(B,double_divide(A,C))))
| inverse(double_divide(B,double_divide(A,C))) != multiply(double_divide(A,C),B)
| multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,inverse(double_divide(B,double_divide(A,C))))) ),[1,1],$fot(multiply(double_divide(A,C),B))]]) ).
cnf(refute_0_346,plain,
( inverse(double_divide(B,double_divide(A,C))) != multiply(double_divide(A,C),B)
| multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)) ),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,inverse(double_divide(B,double_divide(A,C))))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,double_divide(A,C))),multiply(double_divide(A,C),B)) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
inverse(double_divide(inverse(X_10),X_48)) = double_divide(X_10,multiply(inverse(X_10),double_divide(inverse(X_10),X_48))),
inference(subst,[],[refute_0_236:[bind(X_11,$fot(double_divide(inverse(X_10),X_48)))]]) ).
cnf(refute_0_349,plain,
multiply(inverse(X_10),double_divide(inverse(X_10),X_48)) = inverse(X_48),
inference(subst,[],[refute_0_300:[bind(A,$fot(inverse(X_10))),bind(X_39,$fot(X_48))]]) ).
cnf(refute_0_350,plain,
( multiply(inverse(X_10),double_divide(inverse(X_10),X_48)) != inverse(X_48)
| inverse(double_divide(inverse(X_10),X_48)) != double_divide(X_10,multiply(inverse(X_10),double_divide(inverse(X_10),X_48)))
| inverse(double_divide(inverse(X_10),X_48)) = double_divide(X_10,inverse(X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(inverse(X_10),X_48)),double_divide(X_10,multiply(inverse(X_10),double_divide(inverse(X_10),X_48)))) ),[1,1],$fot(inverse(X_48))]]) ).
cnf(refute_0_351,plain,
( inverse(double_divide(inverse(X_10),X_48)) != double_divide(X_10,multiply(inverse(X_10),double_divide(inverse(X_10),X_48)))
| inverse(double_divide(inverse(X_10),X_48)) = double_divide(X_10,inverse(X_48)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),double_divide(inverse(X_10),X_48)),inverse(X_48)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
inverse(double_divide(inverse(X_10),X_48)) = double_divide(X_10,inverse(X_48)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_10),X_48)),double_divide(X_10,multiply(inverse(X_10),double_divide(inverse(X_10),X_48)))) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
inverse(double_divide(inverse(X_10),X_48)) = multiply(X_48,inverse(X_10)),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_48)),bind(B,$fot(inverse(X_10)))]]) ).
cnf(refute_0_354,plain,
( inverse(double_divide(inverse(X_10),X_48)) != multiply(X_48,inverse(X_10))
| inverse(double_divide(inverse(X_10),X_48)) != double_divide(X_10,inverse(X_48))
| multiply(X_48,inverse(X_10)) = double_divide(X_10,inverse(X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(inverse(X_10),X_48)),double_divide(X_10,inverse(X_48))) ),[0],$fot(multiply(X_48,inverse(X_10)))]]) ).
cnf(refute_0_355,plain,
( inverse(double_divide(inverse(X_10),X_48)) != double_divide(X_10,inverse(X_48))
| multiply(X_48,inverse(X_10)) = double_divide(X_10,inverse(X_48)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_10),X_48)),multiply(X_48,inverse(X_10))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(X_48,inverse(X_10)) = double_divide(X_10,inverse(X_48)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_10),X_48)),double_divide(X_10,inverse(X_48))) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
( multiply(X_48,inverse(X_10)) != double_divide(X_10,inverse(X_48))
| double_divide(X_10,inverse(X_48)) = multiply(X_48,inverse(X_10)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_48,inverse(X_10)))),bind(Y,$fot(double_divide(X_10,inverse(X_48))))]]) ).
cnf(refute_0_358,plain,
double_divide(X_10,inverse(X_48)) = multiply(X_48,inverse(X_10)),
inference(resolve,[$cnf( $equal(multiply(X_48,inverse(X_10)),double_divide(X_10,inverse(X_48))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,inverse(double_divide(B,double_divide(A,C)))),
inference(subst,[],[refute_0_358:[bind(X_10,$fot(double_divide(B,double_divide(A,C)))),bind(X_48,$fot(C))]]) ).
cnf(refute_0_360,plain,
( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,inverse(double_divide(B,double_divide(A,C))))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(B,double_divide(A,C)),inverse(C)))),bind(Y,$fot(multiply(C,inverse(double_divide(B,double_divide(A,C)))))),bind(Z,$fot(multiply(C,multiply(double_divide(A,C),B))))]]) ).
cnf(refute_0_361,plain,
( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),inverse(C)),multiply(C,inverse(double_divide(B,double_divide(A,C))))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,multiply(double_divide(A,C),B))) )],[refute_0_347,refute_0_361]) ).
cnf(refute_0_363,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))))]]) ).
cnf(refute_0_364,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[1,1],$fot(multiply(C,multiply(double_divide(A,C),B)))]]) ).
cnf(refute_0_365,plain,
( double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),inverse(C)),multiply(C,multiply(double_divide(A,C),B))) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) != double_divide(A,multiply(C,multiply(double_divide(A,C),B)))
| inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[1],$fot(double_divide(A,multiply(C,multiply(double_divide(A,C),B))))]]) ).
cnf(refute_0_368,plain,
( inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,multiply(C,multiply(double_divide(A,C),B)))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))),
inference(resolve,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_342,refute_0_368]) ).
cnf(refute_0_370,plain,
inverse(inverse(X_71)) = double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71)))),
inference(subst,[],[refute_0_369:[bind(A,$fot(X_69)),bind(B,$fot(inverse(X_71))),bind(C,$fot(X_71))]]) ).
cnf(refute_0_371,plain,
X_17 = double_divide(double_divide(double_divide(X_17,X_39),X_17),double_divide(X_17,X_39)),
inference(subst,[],[refute_0_294:[bind(X_37,$fot(double_divide(X_17,X_39)))]]) ).
cnf(refute_0_372,plain,
X_39 = double_divide(double_divide(X_17,X_39),X_17),
inference(subst,[],[refute_0_294:[bind(X_17,$fot(X_39)),bind(X_37,$fot(X_17))]]) ).
cnf(refute_0_373,plain,
( X_39 != double_divide(double_divide(X_17,X_39),X_17)
| double_divide(double_divide(X_17,X_39),X_17) = X_39 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_39)),bind(Y,$fot(double_divide(double_divide(X_17,X_39),X_17)))]]) ).
cnf(refute_0_374,plain,
double_divide(double_divide(X_17,X_39),X_17) = X_39,
inference(resolve,[$cnf( $equal(X_39,double_divide(double_divide(X_17,X_39),X_17)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
( X_17 != double_divide(double_divide(double_divide(X_17,X_39),X_17),double_divide(X_17,X_39))
| double_divide(double_divide(X_17,X_39),X_17) != X_39
| X_17 = double_divide(X_39,double_divide(X_17,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(X_17,double_divide(double_divide(double_divide(X_17,X_39),X_17),double_divide(X_17,X_39))) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_376,plain,
( X_17 != double_divide(double_divide(double_divide(X_17,X_39),X_17),double_divide(X_17,X_39))
| X_17 = double_divide(X_39,double_divide(X_17,X_39)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_17,X_39),X_17),X_39) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
X_17 = double_divide(X_39,double_divide(X_17,X_39)),
inference(resolve,[$cnf( $equal(X_17,double_divide(double_divide(double_divide(X_17,X_39),X_17),double_divide(X_17,X_39))) )],[refute_0_371,refute_0_376]) ).
cnf(refute_0_378,plain,
X_41 = double_divide(multiply(inverse(X_41),X_11),double_divide(X_41,multiply(inverse(X_41),X_11))),
inference(subst,[],[refute_0_377:[bind(X_17,$fot(X_41)),bind(X_39,$fot(multiply(inverse(X_41),X_11)))]]) ).
cnf(refute_0_379,plain,
inverse(X_11) = double_divide(X_41,multiply(inverse(X_41),X_11)),
inference(subst,[],[refute_0_236:[bind(X_10,$fot(X_41))]]) ).
cnf(refute_0_380,plain,
( inverse(X_11) != double_divide(X_41,multiply(inverse(X_41),X_11))
| double_divide(X_41,multiply(inverse(X_41),X_11)) = inverse(X_11) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(double_divide(X_41,multiply(inverse(X_41),X_11))))]]) ).
cnf(refute_0_381,plain,
double_divide(X_41,multiply(inverse(X_41),X_11)) = inverse(X_11),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_41,multiply(inverse(X_41),X_11))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
( X_41 != double_divide(multiply(inverse(X_41),X_11),double_divide(X_41,multiply(inverse(X_41),X_11)))
| double_divide(X_41,multiply(inverse(X_41),X_11)) != inverse(X_11)
| X_41 = double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,double_divide(multiply(inverse(X_41),X_11),double_divide(X_41,multiply(inverse(X_41),X_11)))) ),[1,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_383,plain,
( X_41 != double_divide(multiply(inverse(X_41),X_11),double_divide(X_41,multiply(inverse(X_41),X_11)))
| X_41 = double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(X_41,multiply(inverse(X_41),X_11)),inverse(X_11)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
X_41 = double_divide(multiply(inverse(X_41),X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(X_41,double_divide(multiply(inverse(X_41),X_11),double_divide(X_41,multiply(inverse(X_41),X_11)))) )],[refute_0_378,refute_0_383]) ).
cnf(refute_0_385,plain,
double_divide(X_11,inverse(X_41)) = multiply(X_41,inverse(X_11)),
inference(subst,[],[refute_0_358:[bind(X_10,$fot(X_11)),bind(X_48,$fot(X_41))]]) ).
cnf(refute_0_386,plain,
inverse(multiply(inverse(X_41),X_11)) = double_divide(X_11,inverse(X_41)),
inference(subst,[],[refute_0_279:[bind(A,$fot(inverse(X_41))),bind(B,$fot(X_11))]]) ).
cnf(refute_0_387,plain,
( double_divide(X_11,inverse(X_41)) != multiply(X_41,inverse(X_11))
| inverse(multiply(inverse(X_41),X_11)) != double_divide(X_11,inverse(X_41))
| inverse(multiply(inverse(X_41),X_11)) = multiply(X_41,inverse(X_11)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(inverse(multiply(inverse(X_41),X_11)))),bind(Y,$fot(double_divide(X_11,inverse(X_41)))),bind(Z,$fot(multiply(X_41,inverse(X_11))))]]) ).
cnf(refute_0_388,plain,
( double_divide(X_11,inverse(X_41)) != multiply(X_41,inverse(X_11))
| inverse(multiply(inverse(X_41),X_11)) = multiply(X_41,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_41),X_11)),double_divide(X_11,inverse(X_41))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
inverse(multiply(inverse(X_41),X_11)) = multiply(X_41,inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_41)),multiply(X_41,inverse(X_11))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
multiply(X_11,inverse(multiply(inverse(X_41),X_11))) = multiply(X_11,inverse(multiply(inverse(X_41),X_11))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(multiply(inverse(X_41),X_11))))]]) ).
cnf(refute_0_391,plain,
( multiply(X_11,inverse(multiply(inverse(X_41),X_11))) != multiply(X_11,inverse(multiply(inverse(X_41),X_11)))
| inverse(multiply(inverse(X_41),X_11)) != multiply(X_41,inverse(X_11))
| multiply(X_11,inverse(multiply(inverse(X_41),X_11))) = multiply(X_11,multiply(X_41,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(multiply(inverse(X_41),X_11))),multiply(X_11,inverse(multiply(inverse(X_41),X_11)))) ),[1,1],$fot(multiply(X_41,inverse(X_11)))]]) ).
cnf(refute_0_392,plain,
( inverse(multiply(inverse(X_41),X_11)) != multiply(X_41,inverse(X_11))
| multiply(X_11,inverse(multiply(inverse(X_41),X_11))) = multiply(X_11,multiply(X_41,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(multiply(inverse(X_41),X_11))),multiply(X_11,inverse(multiply(inverse(X_41),X_11)))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(X_11,inverse(multiply(inverse(X_41),X_11))) = multiply(X_11,multiply(X_41,inverse(X_11))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_41),X_11)),multiply(X_41,inverse(X_11))) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) = multiply(X_11,inverse(multiply(inverse(X_41),X_11))),
inference(subst,[],[refute_0_358:[bind(X_10,$fot(multiply(inverse(X_41),X_11))),bind(X_48,$fot(X_11))]]) ).
cnf(refute_0_395,plain,
( multiply(X_11,inverse(multiply(inverse(X_41),X_11))) != multiply(X_11,multiply(X_41,inverse(X_11)))
| double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) != multiply(X_11,inverse(multiply(inverse(X_41),X_11)))
| double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) = multiply(X_11,multiply(X_41,inverse(X_11))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(multiply(inverse(X_41),X_11),inverse(X_11)))),bind(Y,$fot(multiply(X_11,inverse(multiply(inverse(X_41),X_11))))),bind(Z,$fot(multiply(X_11,multiply(X_41,inverse(X_11)))))]]) ).
cnf(refute_0_396,plain,
( multiply(X_11,inverse(multiply(inverse(X_41),X_11))) != multiply(X_11,multiply(X_41,inverse(X_11)))
| double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) = multiply(X_11,multiply(X_41,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_11),inverse(X_11)),multiply(X_11,inverse(multiply(inverse(X_41),X_11)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) = multiply(X_11,multiply(X_41,inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(multiply(inverse(X_41),X_11))),multiply(X_11,multiply(X_41,inverse(X_11)))) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
( X_41 != double_divide(multiply(inverse(X_41),X_11),inverse(X_11))
| double_divide(multiply(inverse(X_41),X_11),inverse(X_11)) != multiply(X_11,multiply(X_41,inverse(X_11)))
| X_41 = multiply(X_11,multiply(X_41,inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_41,multiply(X_11,multiply(X_41,inverse(X_11)))) ),[0],$fot(double_divide(multiply(inverse(X_41),X_11),inverse(X_11)))]]) ).
cnf(refute_0_399,plain,
( X_41 != double_divide(multiply(inverse(X_41),X_11),inverse(X_11))
| X_41 = multiply(X_11,multiply(X_41,inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_41),X_11),inverse(X_11)),multiply(X_11,multiply(X_41,inverse(X_11)))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
X_41 = multiply(X_11,multiply(X_41,inverse(X_11))),
inference(resolve,[$cnf( $equal(X_41,double_divide(multiply(inverse(X_41),X_11),inverse(X_11))) )],[refute_0_384,refute_0_399]) ).
cnf(refute_0_401,plain,
double_divide(X_69,X_71) = multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))),
inference(subst,[],[refute_0_400:[bind(X_11,$fot(X_71)),bind(X_41,$fot(double_divide(X_69,X_71)))]]) ).
cnf(refute_0_402,plain,
( double_divide(X_69,X_71) != multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71)))
| multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))) = double_divide(X_69,X_71) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_69,X_71))),bind(Y,$fot(multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71)))))]]) ).
cnf(refute_0_403,plain,
multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))) = double_divide(X_69,X_71),
inference(resolve,[$cnf( $equal(double_divide(X_69,X_71),multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71)))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
( multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))) != double_divide(X_69,X_71)
| inverse(inverse(X_71)) != double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))))
| inverse(inverse(X_71)) = double_divide(X_69,double_divide(X_69,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_71)),double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))))) ),[1,1],$fot(double_divide(X_69,X_71))]]) ).
cnf(refute_0_405,plain,
( inverse(inverse(X_71)) != double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))))
| inverse(inverse(X_71)) = double_divide(X_69,double_divide(X_69,X_71)) ),
inference(resolve,[$cnf( $equal(multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))),double_divide(X_69,X_71)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
inverse(inverse(X_71)) = double_divide(X_69,double_divide(X_69,X_71)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_71)),double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),inverse(X_71))))) )],[refute_0_370,refute_0_405]) ).
cnf(refute_0_407,plain,
inverse(inverse(X_71)) = X_71,
inference(subst,[],[refute_0_224:[bind(X_17,$fot(X_71))]]) ).
cnf(refute_0_408,plain,
( inverse(inverse(X_71)) != X_71
| inverse(inverse(X_71)) != double_divide(X_69,double_divide(X_69,X_71))
| X_71 = double_divide(X_69,double_divide(X_69,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_71)),double_divide(X_69,double_divide(X_69,X_71))) ),[0],$fot(X_71)]]) ).
cnf(refute_0_409,plain,
( inverse(inverse(X_71)) != double_divide(X_69,double_divide(X_69,X_71))
| X_71 = double_divide(X_69,double_divide(X_69,X_71)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_71)),X_71) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
X_71 = double_divide(X_69,double_divide(X_69,X_71)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_71)),double_divide(X_69,double_divide(X_69,X_71))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
X_73 = double_divide(A,double_divide(A,X_73)),
inference(subst,[],[refute_0_410:[bind(X_69,$fot(A)),bind(X_71,$fot(X_73))]]) ).
cnf(refute_0_412,plain,
( X_73 != double_divide(A,double_divide(A,X_73))
| double_divide(A,double_divide(A,X_73)) = X_73 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_73)),bind(Y,$fot(double_divide(A,double_divide(A,X_73))))]]) ).
cnf(refute_0_413,plain,
double_divide(A,double_divide(A,X_73)) = X_73,
inference(resolve,[$cnf( $equal(X_73,double_divide(A,double_divide(A,X_73))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
( multiply(A,double_divide(A,double_divide(A,X_73))) != inverse(double_divide(A,X_73))
| double_divide(A,double_divide(A,X_73)) != X_73
| multiply(A,X_73) = inverse(double_divide(A,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(A,double_divide(A,X_73))),inverse(double_divide(A,X_73))) ),[0,1],$fot(X_73)]]) ).
cnf(refute_0_415,plain,
( multiply(A,double_divide(A,double_divide(A,X_73))) != inverse(double_divide(A,X_73))
| multiply(A,X_73) = inverse(double_divide(A,X_73)) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(A,X_73)),X_73) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiply(A,X_73) = inverse(double_divide(A,X_73)),
inference(resolve,[$cnf( $equal(multiply(A,double_divide(A,double_divide(A,X_73))),inverse(double_divide(A,X_73))) )],[refute_0_301,refute_0_415]) ).
cnf(refute_0_417,plain,
inverse(double_divide(A,X_73)) = multiply(X_73,A),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_73)),bind(B,$fot(A))]]) ).
cnf(refute_0_418,plain,
( multiply(A,X_73) != inverse(double_divide(A,X_73))
| inverse(double_divide(A,X_73)) != multiply(X_73,A)
| multiply(A,X_73) = multiply(X_73,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,X_73),multiply(X_73,A)) ),[0],$fot(inverse(double_divide(A,X_73)))]]) ).
cnf(refute_0_419,plain,
( multiply(A,X_73) != inverse(double_divide(A,X_73))
| multiply(A,X_73) = multiply(X_73,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,X_73)),multiply(X_73,A)) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(A,X_73) = multiply(X_73,A),
inference(resolve,[$cnf( $equal(multiply(A,X_73),inverse(double_divide(A,X_73))) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
( multiply(A,X_73) != multiply(X_73,A)
| multiply(X_73,A) = multiply(A,X_73) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,X_73))),bind(Y,$fot(multiply(X_73,A)))]]) ).
cnf(refute_0_422,plain,
multiply(X_73,A) = multiply(A,X_73),
inference(resolve,[$cnf( $equal(multiply(A,X_73),multiply(X_73,A)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_422:[bind(A,$fot(c3)),bind(X_73,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_424,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_425,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_425,prove_these_axioms_3]) ).
cnf(refute_0_427,plain,
multiply(X_69,X_95) = double_divide(X_69,double_divide(X_69,multiply(X_69,X_95))),
inference(subst,[],[refute_0_410:[bind(X_71,$fot(multiply(X_69,X_95)))]]) ).
cnf(refute_0_428,plain,
multiply(multiply(inverse(B),X_32),B) = multiply(B,multiply(inverse(B),X_32)),
inference(subst,[],[refute_0_422:[bind(A,$fot(B)),bind(X_73,$fot(multiply(inverse(B),X_32)))]]) ).
cnf(refute_0_429,plain,
( multiply(multiply(inverse(B),X_32),B) != X_32
| multiply(multiply(inverse(B),X_32),B) != multiply(B,multiply(inverse(B),X_32))
| multiply(B,multiply(inverse(B),X_32)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),X_32) ),[0],$fot(multiply(B,multiply(inverse(B),X_32)))]]) ).
cnf(refute_0_430,plain,
( multiply(multiply(inverse(B),X_32),B) != X_32
| multiply(B,multiply(inverse(B),X_32)) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),multiply(B,multiply(inverse(B),X_32))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(B,multiply(inverse(B),X_32)) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_32),B),X_32) )],[refute_0_252,refute_0_430]) ).
cnf(refute_0_432,plain,
multiply(B,multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))) = multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))),
inference(subst,[],[refute_0_431:[bind(X_32,$fot(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))))]]) ).
cnf(refute_0_433,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)) = X_18,
inference(subst,[],[refute_0_41:[bind(X_10,$fot(double_divide(B,A))),bind(X_11,$fot(X_18))]]) ).
cnf(refute_0_434,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)) != X_18
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)),X_18) ),[0,0,1,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_435,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)) != X_18
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = X_18 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_51,refute_0_434]) ).
cnf(refute_0_436,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)),X_18) )],[refute_0_433,refute_0_435]) ).
cnf(refute_0_437,plain,
inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)),
inference(subst,[],[refute_0_51:[bind(A,$fot(multiply(multiply(A,B),X_18))),bind(B,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_438,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))))]]) ).
cnf(refute_0_439,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) != inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)))
| inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity))),bind(Y,$fot(inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))))),bind(Z,$fot(multiply(multiply(multiply(A,B),X_18),double_divide(B,A))))]]) ).
cnf(refute_0_440,plain,
( inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))),multiply(multiply(multiply(A,B),X_18),double_divide(B,A))) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)))]]) ).
cnf(refute_0_443,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_444,plain,
( inverse(identity) != identity
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_444]) ).
cnf(refute_0_446,plain,
inverse(double_divide(X_18,multiply(A,B))) = multiply(multiply(A,B),X_18),
inference(subst,[],[refute_0_51:[bind(A,$fot(multiply(A,B))),bind(B,$fot(X_18))]]) ).
cnf(refute_0_447,plain,
double_divide(double_divide(X_18,multiply(A,B)),identity) = inverse(double_divide(X_18,multiply(A,B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_18,multiply(A,B))))]]) ).
cnf(refute_0_448,plain,
( double_divide(double_divide(X_18,multiply(A,B)),identity) != inverse(double_divide(X_18,multiply(A,B)))
| inverse(double_divide(X_18,multiply(A,B))) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),identity) = multiply(multiply(A,B),X_18) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(X_18,multiply(A,B)),identity))),bind(Y,$fot(inverse(double_divide(X_18,multiply(A,B))))),bind(Z,$fot(multiply(multiply(A,B),X_18)))]]) ).
cnf(refute_0_449,plain,
( inverse(double_divide(X_18,multiply(A,B))) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),identity) = multiply(multiply(A,B),X_18) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),identity),inverse(double_divide(X_18,multiply(A,B)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
double_divide(double_divide(X_18,multiply(A,B)),identity) = multiply(multiply(A,B),X_18),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_18,multiply(A,B))),multiply(multiply(A,B),X_18)) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))]]) ).
cnf(refute_0_452,plain,
( double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_453,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_453]) ).
cnf(refute_0_455,plain,
( double_divide(double_divide(X_18,multiply(A,B)),identity) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != double_divide(double_divide(X_18,multiply(A,B)),identity)
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = multiply(multiply(A,B),X_18) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_18,multiply(A,B)),identity))),bind(Z,$fot(multiply(multiply(A,B),X_18)))]]) ).
cnf(refute_0_456,plain,
( double_divide(double_divide(X_18,multiply(A,B)),identity) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = multiply(multiply(A,B),X_18) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),double_divide(double_divide(X_18,multiply(A,B)),identity)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = multiply(multiply(A,B),X_18),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),identity),multiply(multiply(A,B),X_18)) )],[refute_0_450,refute_0_456]) ).
cnf(refute_0_458,plain,
double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))))]]) ).
cnf(refute_0_459,plain,
( double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) != double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))) ),[1,1],$fot(multiply(multiply(A,B),X_18))]]) ).
cnf(refute_0_460,plain,
( double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),multiply(multiply(A,B),X_18)) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_463,plain,
( double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) != double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)))]]) ).
cnf(refute_0_464,plain,
( double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) != double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) )],[refute_0_461,refute_0_464]) ).
cnf(refute_0_466,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)))]]) ).
cnf(refute_0_467,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)) )],[refute_0_445,refute_0_467]) ).
cnf(refute_0_469,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity))),bind(Z,$fot(multiply(multiply(multiply(A,B),X_18),double_divide(B,A))))]]) ).
cnf(refute_0_470,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),multiply(multiply(multiply(A,B),X_18),double_divide(B,A))) )],[refute_0_441,refute_0_470]) ).
cnf(refute_0_472,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != X_18
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),X_18) ),[0],$fot(multiply(multiply(multiply(A,B),X_18),double_divide(B,A)))]]) ).
cnf(refute_0_473,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != X_18
| multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) = X_18 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),multiply(multiply(multiply(A,B),X_18),double_divide(B,A))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),X_18) )],[refute_0_436,refute_0_473]) ).
cnf(refute_0_475,plain,
multiply(multiply(multiply(X_66,inverse(X_11)),X_68),double_divide(inverse(X_11),X_66)) = X_68,
inference(subst,[],[refute_0_474:[bind(A,$fot(X_66)),bind(B,$fot(inverse(X_11))),bind(X_18,$fot(X_68))]]) ).
cnf(refute_0_476,plain,
multiply(inverse(X_40),X_11) = double_divide(double_divide(X_40,multiply(inverse(X_40),X_11)),X_40),
inference(subst,[],[refute_0_294:[bind(X_17,$fot(multiply(inverse(X_40),X_11))),bind(X_37,$fot(X_40))]]) ).
cnf(refute_0_477,plain,
inverse(X_11) = double_divide(X_40,multiply(inverse(X_40),X_11)),
inference(subst,[],[refute_0_236:[bind(X_10,$fot(X_40))]]) ).
cnf(refute_0_478,plain,
( inverse(X_11) != double_divide(X_40,multiply(inverse(X_40),X_11))
| double_divide(X_40,multiply(inverse(X_40),X_11)) = inverse(X_11) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(double_divide(X_40,multiply(inverse(X_40),X_11))))]]) ).
cnf(refute_0_479,plain,
double_divide(X_40,multiply(inverse(X_40),X_11)) = inverse(X_11),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_40,multiply(inverse(X_40),X_11))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
( multiply(inverse(X_40),X_11) != double_divide(double_divide(X_40,multiply(inverse(X_40),X_11)),X_40)
| double_divide(X_40,multiply(inverse(X_40),X_11)) != inverse(X_11)
| multiply(inverse(X_40),X_11) = double_divide(inverse(X_11),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_40),X_11),double_divide(double_divide(X_40,multiply(inverse(X_40),X_11)),X_40)) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_481,plain,
( multiply(inverse(X_40),X_11) != double_divide(double_divide(X_40,multiply(inverse(X_40),X_11)),X_40)
| multiply(inverse(X_40),X_11) = double_divide(inverse(X_11),X_40) ),
inference(resolve,[$cnf( $equal(double_divide(X_40,multiply(inverse(X_40),X_11)),inverse(X_11)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
multiply(inverse(X_40),X_11) = double_divide(inverse(X_11),X_40),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),X_11),double_divide(double_divide(X_40,multiply(inverse(X_40),X_11)),X_40)) )],[refute_0_476,refute_0_481]) ).
cnf(refute_0_483,plain,
multiply(inverse(X_66),X_11) = double_divide(inverse(X_11),X_66),
inference(subst,[],[refute_0_482:[bind(X_40,$fot(X_66))]]) ).
cnf(refute_0_484,plain,
( multiply(inverse(X_66),X_11) != double_divide(inverse(X_11),X_66)
| double_divide(inverse(X_11),X_66) = multiply(inverse(X_66),X_11) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_66),X_11))),bind(Y,$fot(double_divide(inverse(X_11),X_66)))]]) ).
cnf(refute_0_485,plain,
double_divide(inverse(X_11),X_66) = multiply(inverse(X_66),X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),X_11),double_divide(inverse(X_11),X_66)) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
( multiply(multiply(multiply(X_66,inverse(X_11)),X_68),double_divide(inverse(X_11),X_66)) != X_68
| double_divide(inverse(X_11),X_66) != multiply(inverse(X_66),X_11)
| multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)) = X_68 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_66,inverse(X_11)),X_68),double_divide(inverse(X_11),X_66)),X_68) ),[0,1],$fot(multiply(inverse(X_66),X_11))]]) ).
cnf(refute_0_487,plain,
( multiply(multiply(multiply(X_66,inverse(X_11)),X_68),double_divide(inverse(X_11),X_66)) != X_68
| multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)) = X_68 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),X_66),multiply(inverse(X_66),X_11)) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)) = X_68,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_66,inverse(X_11)),X_68),double_divide(inverse(X_11),X_66)),X_68) )],[refute_0_475,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)) = multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)),
inference(subst,[],[refute_0_422:[bind(A,$fot(multiply(inverse(X_66),X_11))),bind(X_73,$fot(multiply(multiply(X_66,inverse(X_11)),X_68)))]]) ).
cnf(refute_0_490,plain,
( multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)) != X_68
| multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)) != multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68))
| multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) = X_68 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)),X_68) ),[0],$fot(multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)))]]) ).
cnf(refute_0_491,plain,
( multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)) != X_68
| multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) = X_68 ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)),multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) = X_68,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_66,inverse(X_11)),X_68),multiply(inverse(X_66),X_11)),X_68) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
inverse(double_divide(double_divide(X_69,X_71),X_39)) = double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39)))),
inference(subst,[],[refute_0_369:[bind(A,$fot(X_69)),bind(B,$fot(double_divide(double_divide(X_69,X_71),X_39))),bind(C,$fot(X_71))]]) ).
cnf(refute_0_494,plain,
multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39)) = inverse(X_39),
inference(subst,[],[refute_0_300:[bind(A,$fot(double_divide(X_69,X_71)))]]) ).
cnf(refute_0_495,plain,
( multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39)) != inverse(X_39)
| inverse(double_divide(double_divide(X_69,X_71),X_39)) != double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39))))
| inverse(double_divide(double_divide(X_69,X_71),X_39)) = double_divide(X_69,multiply(X_71,inverse(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_69,X_71),X_39)),double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39))))) ),[1,1,1],$fot(inverse(X_39))]]) ).
cnf(refute_0_496,plain,
( inverse(double_divide(double_divide(X_69,X_71),X_39)) != double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39))))
| inverse(double_divide(double_divide(X_69,X_71),X_39)) = double_divide(X_69,multiply(X_71,inverse(X_39))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39)),inverse(X_39)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
inverse(double_divide(double_divide(X_69,X_71),X_39)) = double_divide(X_69,multiply(X_71,inverse(X_39))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_69,X_71),X_39)),double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),double_divide(double_divide(X_69,X_71),X_39))))) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
inverse(double_divide(double_divide(X_69,X_71),X_39)) = multiply(X_39,double_divide(X_69,X_71)),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_39)),bind(B,$fot(double_divide(X_69,X_71)))]]) ).
cnf(refute_0_499,plain,
( inverse(double_divide(double_divide(X_69,X_71),X_39)) != multiply(X_39,double_divide(X_69,X_71))
| inverse(double_divide(double_divide(X_69,X_71),X_39)) != double_divide(X_69,multiply(X_71,inverse(X_39)))
| multiply(X_39,double_divide(X_69,X_71)) = double_divide(X_69,multiply(X_71,inverse(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_69,X_71),X_39)),double_divide(X_69,multiply(X_71,inverse(X_39)))) ),[0],$fot(multiply(X_39,double_divide(X_69,X_71)))]]) ).
cnf(refute_0_500,plain,
( inverse(double_divide(double_divide(X_69,X_71),X_39)) != double_divide(X_69,multiply(X_71,inverse(X_39)))
| multiply(X_39,double_divide(X_69,X_71)) = double_divide(X_69,multiply(X_71,inverse(X_39))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_69,X_71),X_39)),multiply(X_39,double_divide(X_69,X_71))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
multiply(X_39,double_divide(X_69,X_71)) = double_divide(X_69,multiply(X_71,inverse(X_39))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_69,X_71),X_39)),double_divide(X_69,multiply(X_71,inverse(X_39)))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
multiply(multiply(A,B),double_divide(X_88,X_89)) = double_divide(X_88,multiply(X_89,inverse(multiply(A,B)))),
inference(subst,[],[refute_0_501:[bind(X_39,$fot(multiply(A,B))),bind(X_69,$fot(X_88)),bind(X_71,$fot(X_89))]]) ).
cnf(refute_0_503,plain,
( multiply(multiply(A,B),double_divide(X_88,X_89)) != double_divide(X_88,multiply(X_89,inverse(multiply(A,B))))
| inverse(multiply(A,B)) != double_divide(B,A)
| multiply(multiply(A,B),double_divide(X_88,X_89)) = double_divide(X_88,multiply(X_89,double_divide(B,A))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,B),double_divide(X_88,X_89)),double_divide(X_88,multiply(X_89,inverse(multiply(A,B))))) ),[1,1,1],$fot(double_divide(B,A))]]) ).
cnf(refute_0_504,plain,
( multiply(multiply(A,B),double_divide(X_88,X_89)) != double_divide(X_88,multiply(X_89,inverse(multiply(A,B))))
| multiply(multiply(A,B),double_divide(X_88,X_89)) = double_divide(X_88,multiply(X_89,double_divide(B,A))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(A,B)),double_divide(B,A)) )],[refute_0_279,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(multiply(A,B),double_divide(X_88,X_89)) = double_divide(X_88,multiply(X_89,double_divide(B,A))),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(X_88,X_89)),double_divide(X_88,multiply(X_89,inverse(multiply(A,B))))) )],[refute_0_502,refute_0_504]) ).
cnf(refute_0_506,plain,
( multiply(multiply(A,B),double_divide(X_88,X_89)) != double_divide(X_88,multiply(X_89,double_divide(B,A)))
| double_divide(X_88,multiply(X_89,double_divide(B,A))) = multiply(multiply(A,B),double_divide(X_88,X_89)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(multiply(A,B),double_divide(X_88,X_89)))),bind(Y,$fot(double_divide(X_88,multiply(X_89,double_divide(B,A)))))]]) ).
cnf(refute_0_507,plain,
double_divide(X_88,multiply(X_89,double_divide(B,A))) = multiply(multiply(A,B),double_divide(X_88,X_89)),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(X_88,X_89)),double_divide(X_88,multiply(X_89,double_divide(B,A)))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))) = multiply(multiply(X_66,X_68),double_divide(X_66,X_11)),
inference(subst,[],[refute_0_507:[bind(A,$fot(X_66)),bind(B,$fot(X_68)),bind(X_88,$fot(X_66)),bind(X_89,$fot(X_11))]]) ).
cnf(refute_0_509,plain,
( multiply(X_39,double_divide(X_69,X_71)) != double_divide(X_69,multiply(X_71,inverse(X_39)))
| double_divide(X_69,multiply(X_71,inverse(X_39))) = multiply(X_39,double_divide(X_69,X_71)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_39,double_divide(X_69,X_71)))),bind(Y,$fot(double_divide(X_69,multiply(X_71,inverse(X_39)))))]]) ).
cnf(refute_0_510,plain,
double_divide(X_69,multiply(X_71,inverse(X_39))) = multiply(X_39,double_divide(X_69,X_71)),
inference(resolve,[$cnf( $equal(multiply(X_39,double_divide(X_69,X_71)),double_divide(X_69,multiply(X_71,inverse(X_39)))) )],[refute_0_501,refute_0_509]) ).
cnf(refute_0_511,plain,
double_divide(X_68,multiply(X_66,inverse(X_11))) = multiply(X_11,double_divide(X_68,X_66)),
inference(subst,[],[refute_0_510:[bind(X_39,$fot(X_11)),bind(X_69,$fot(X_68)),bind(X_71,$fot(X_66))]]) ).
cnf(refute_0_512,plain,
double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) = double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))),
introduced(tautology,[refl,[$fot(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))))]]) ).
cnf(refute_0_513,plain,
( double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) != double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))
| double_divide(X_68,multiply(X_66,inverse(X_11))) != multiply(X_11,double_divide(X_68,X_66))
| double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) = double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))),double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))) ),[1,1],$fot(multiply(X_11,double_divide(X_68,X_66)))]]) ).
cnf(refute_0_514,plain,
( double_divide(X_68,multiply(X_66,inverse(X_11))) != multiply(X_11,double_divide(X_68,X_66))
| double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) = double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))) ),
inference(resolve,[$cnf( $equal(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))),double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) = double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))),
inference(resolve,[$cnf( $equal(double_divide(X_68,multiply(X_66,inverse(X_11))),multiply(X_11,double_divide(X_68,X_66))) )],[refute_0_511,refute_0_514]) ).
cnf(refute_0_516,plain,
( double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))) != multiply(multiply(X_66,X_68),double_divide(X_66,X_11))
| double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) != double_divide(X_66,multiply(X_11,double_divide(X_68,X_66)))
| double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) = multiply(multiply(X_66,X_68),double_divide(X_66,X_11)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))))),bind(Y,$fot(double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))))),bind(Z,$fot(multiply(multiply(X_66,X_68),double_divide(X_66,X_11))))]]) ).
cnf(refute_0_517,plain,
( double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))) != multiply(multiply(X_66,X_68),double_divide(X_66,X_11))
| double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) = multiply(multiply(X_66,X_68),double_divide(X_66,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))),double_divide(X_66,multiply(X_11,double_divide(X_68,X_66)))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) = multiply(multiply(X_66,X_68),double_divide(X_66,X_11)),
inference(resolve,[$cnf( $equal(double_divide(X_66,multiply(X_11,double_divide(X_68,X_66))),multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) )],[refute_0_508,refute_0_517]) ).
cnf(refute_0_519,plain,
double_divide(X_37,X_73) = double_divide(double_divide(X_37,double_divide(X_37,X_73)),X_37),
inference(subst,[],[refute_0_294:[bind(X_17,$fot(double_divide(X_37,X_73)))]]) ).
cnf(refute_0_520,plain,
X_73 = double_divide(X_37,double_divide(X_37,X_73)),
inference(subst,[],[refute_0_410:[bind(X_69,$fot(X_37)),bind(X_71,$fot(X_73))]]) ).
cnf(refute_0_521,plain,
( X_73 != double_divide(X_37,double_divide(X_37,X_73))
| double_divide(X_37,double_divide(X_37,X_73)) = X_73 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_73)),bind(Y,$fot(double_divide(X_37,double_divide(X_37,X_73))))]]) ).
cnf(refute_0_522,plain,
double_divide(X_37,double_divide(X_37,X_73)) = X_73,
inference(resolve,[$cnf( $equal(X_73,double_divide(X_37,double_divide(X_37,X_73))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
( double_divide(X_37,X_73) != double_divide(double_divide(X_37,double_divide(X_37,X_73)),X_37)
| double_divide(X_37,double_divide(X_37,X_73)) != X_73
| double_divide(X_37,X_73) = double_divide(X_73,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_37,X_73),double_divide(double_divide(X_37,double_divide(X_37,X_73)),X_37)) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_524,plain,
( double_divide(X_37,X_73) != double_divide(double_divide(X_37,double_divide(X_37,X_73)),X_37)
| double_divide(X_37,X_73) = double_divide(X_73,X_37) ),
inference(resolve,[$cnf( $equal(double_divide(X_37,double_divide(X_37,X_73)),X_73) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
double_divide(X_37,X_73) = double_divide(X_73,X_37),
inference(resolve,[$cnf( $equal(double_divide(X_37,X_73),double_divide(double_divide(X_37,double_divide(X_37,X_73)),X_37)) )],[refute_0_519,refute_0_524]) ).
cnf(refute_0_526,plain,
( double_divide(X_37,X_73) != double_divide(X_73,X_37)
| double_divide(X_73,X_37) = double_divide(X_37,X_73) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_37,X_73))),bind(Y,$fot(double_divide(X_73,X_37)))]]) ).
cnf(refute_0_527,plain,
double_divide(X_73,X_37) = double_divide(X_37,X_73),
inference(resolve,[$cnf( $equal(double_divide(X_37,X_73),double_divide(X_73,X_37)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66) = double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))),
inference(subst,[],[refute_0_527:[bind(X_37,$fot(X_66)),bind(X_73,$fot(double_divide(X_68,multiply(X_66,inverse(X_11)))))]]) ).
cnf(refute_0_529,plain,
multiply(inverse(X_52),multiply(A,B)) = double_divide(inverse(multiply(A,B)),X_52),
inference(subst,[],[refute_0_482:[bind(X_11,$fot(multiply(A,B))),bind(X_40,$fot(X_52))]]) ).
cnf(refute_0_530,plain,
( multiply(inverse(X_52),multiply(A,B)) != double_divide(inverse(multiply(A,B)),X_52)
| inverse(multiply(A,B)) != double_divide(B,A)
| multiply(inverse(X_52),multiply(A,B)) = double_divide(double_divide(B,A),X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_52),multiply(A,B)),double_divide(inverse(multiply(A,B)),X_52)) ),[1,0],$fot(double_divide(B,A))]]) ).
cnf(refute_0_531,plain,
( multiply(inverse(X_52),multiply(A,B)) != double_divide(inverse(multiply(A,B)),X_52)
| multiply(inverse(X_52),multiply(A,B)) = double_divide(double_divide(B,A),X_52) ),
inference(resolve,[$cnf( $equal(inverse(multiply(A,B)),double_divide(B,A)) )],[refute_0_279,refute_0_530]) ).
cnf(refute_0_532,plain,
multiply(inverse(X_52),multiply(A,B)) = double_divide(double_divide(B,A),X_52),
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),multiply(A,B)),double_divide(inverse(multiply(A,B)),X_52)) )],[refute_0_529,refute_0_531]) ).
cnf(refute_0_533,plain,
multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) = double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66),
inference(subst,[],[refute_0_532:[bind(A,$fot(multiply(X_66,inverse(X_11)))),bind(B,$fot(X_68)),bind(X_52,$fot(X_66))]]) ).
cnf(refute_0_534,plain,
( multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) != double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66)
| double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66) != double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))
| multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) = double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)))),bind(Y,$fot(double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66))),bind(Z,$fot(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))))]]) ).
cnf(refute_0_535,plain,
( double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66) != double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))
| multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) = double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)),double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66)) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) = double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_68,multiply(X_66,inverse(X_11))),X_66),double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))) )],[refute_0_528,refute_0_535]) ).
cnf(refute_0_537,plain,
( multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) != double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))
| double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) != multiply(multiply(X_66,X_68),double_divide(X_66,X_11))
| multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) = multiply(multiply(X_66,X_68),double_divide(X_66,X_11)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)))),bind(Y,$fot(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))))),bind(Z,$fot(multiply(multiply(X_66,X_68),double_divide(X_66,X_11))))]]) ).
cnf(refute_0_538,plain,
( double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))) != multiply(multiply(X_66,X_68),double_divide(X_66,X_11))
| multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) = multiply(multiply(X_66,X_68),double_divide(X_66,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)),double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) = multiply(multiply(X_66,X_68),double_divide(X_66,X_11)),
inference(resolve,[$cnf( $equal(double_divide(X_66,double_divide(X_68,multiply(X_66,inverse(X_11)))),multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) )],[refute_0_518,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))) = multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))),
introduced(tautology,[refl,[$fot(multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))))]]) ).
cnf(refute_0_541,plain,
( multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))) != multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)))
| multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) != multiply(multiply(X_66,X_68),double_divide(X_66,X_11))
| multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))) = multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))),multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)))) ),[1,1],$fot(multiply(multiply(X_66,X_68),double_divide(X_66,X_11)))]]) ).
cnf(refute_0_542,plain,
( multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)) != multiply(multiply(X_66,X_68),double_divide(X_66,X_11))
| multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))) = multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))),multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))) = multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)),multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = double_divide(inverse(X_11),multiply(X_89,inverse(X_87))),
inference(subst,[],[refute_0_482:[bind(X_40,$fot(multiply(X_89,inverse(X_87))))]]) ).
cnf(refute_0_545,plain,
multiply(X_87,double_divide(inverse(X_11),X_89)) = double_divide(inverse(X_11),multiply(X_89,inverse(X_87))),
inference(subst,[],[refute_0_501:[bind(X_39,$fot(X_87)),bind(X_69,$fot(inverse(X_11))),bind(X_71,$fot(X_89))]]) ).
cnf(refute_0_546,plain,
( multiply(X_87,double_divide(inverse(X_11),X_89)) != double_divide(inverse(X_11),multiply(X_89,inverse(X_87)))
| double_divide(inverse(X_11),multiply(X_89,inverse(X_87))) = multiply(X_87,double_divide(inverse(X_11),X_89)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_87,double_divide(inverse(X_11),X_89)))),bind(Y,$fot(double_divide(inverse(X_11),multiply(X_89,inverse(X_87)))))]]) ).
cnf(refute_0_547,plain,
double_divide(inverse(X_11),multiply(X_89,inverse(X_87))) = multiply(X_87,double_divide(inverse(X_11),X_89)),
inference(resolve,[$cnf( $equal(multiply(X_87,double_divide(inverse(X_11),X_89)),double_divide(inverse(X_11),multiply(X_89,inverse(X_87)))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
( multiply(inverse(multiply(X_89,inverse(X_87))),X_11) != double_divide(inverse(X_11),multiply(X_89,inverse(X_87)))
| double_divide(inverse(X_11),multiply(X_89,inverse(X_87))) != multiply(X_87,double_divide(inverse(X_11),X_89))
| multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = multiply(X_87,double_divide(inverse(X_11),X_89)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_89,inverse(X_87))),X_11),multiply(X_87,double_divide(inverse(X_11),X_89))) ),[0],$fot(double_divide(inverse(X_11),multiply(X_89,inverse(X_87))))]]) ).
cnf(refute_0_549,plain,
( multiply(inverse(multiply(X_89,inverse(X_87))),X_11) != double_divide(inverse(X_11),multiply(X_89,inverse(X_87)))
| multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = multiply(X_87,double_divide(inverse(X_11),X_89)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),multiply(X_89,inverse(X_87))),multiply(X_87,double_divide(inverse(X_11),X_89))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = multiply(X_87,double_divide(inverse(X_11),X_89)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,inverse(X_87))),X_11),double_divide(inverse(X_11),multiply(X_89,inverse(X_87)))) )],[refute_0_544,refute_0_549]) ).
cnf(refute_0_551,plain,
( multiply(inverse(X_40),X_11) != double_divide(inverse(X_11),X_40)
| double_divide(inverse(X_11),X_40) = multiply(inverse(X_40),X_11) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_40),X_11))),bind(Y,$fot(double_divide(inverse(X_11),X_40)))]]) ).
cnf(refute_0_552,plain,
double_divide(inverse(X_11),X_40) = multiply(inverse(X_40),X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),X_11),double_divide(inverse(X_11),X_40)) )],[refute_0_482,refute_0_551]) ).
cnf(refute_0_553,plain,
double_divide(inverse(X_87),X_89) = multiply(inverse(X_89),X_87),
inference(subst,[],[refute_0_552:[bind(X_11,$fot(X_87)),bind(X_40,$fot(X_89))]]) ).
cnf(refute_0_554,plain,
inverse(multiply(X_89,inverse(X_87))) = double_divide(inverse(X_87),X_89),
inference(subst,[],[refute_0_279:[bind(A,$fot(X_89)),bind(B,$fot(inverse(X_87)))]]) ).
cnf(refute_0_555,plain,
( double_divide(inverse(X_87),X_89) != multiply(inverse(X_89),X_87)
| inverse(multiply(X_89,inverse(X_87))) != double_divide(inverse(X_87),X_89)
| inverse(multiply(X_89,inverse(X_87))) = multiply(inverse(X_89),X_87) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(inverse(multiply(X_89,inverse(X_87))))),bind(Y,$fot(double_divide(inverse(X_87),X_89))),bind(Z,$fot(multiply(inverse(X_89),X_87)))]]) ).
cnf(refute_0_556,plain,
( double_divide(inverse(X_87),X_89) != multiply(inverse(X_89),X_87)
| inverse(multiply(X_89,inverse(X_87))) = multiply(inverse(X_89),X_87) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,inverse(X_87))),double_divide(inverse(X_87),X_89)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
inverse(multiply(X_89,inverse(X_87))) = multiply(inverse(X_89),X_87),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_87),X_89),multiply(inverse(X_89),X_87)) )],[refute_0_553,refute_0_556]) ).
cnf(refute_0_558,plain,
multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = multiply(inverse(multiply(X_89,inverse(X_87))),X_11),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_89,inverse(X_87))),X_11))]]) ).
cnf(refute_0_559,plain,
( multiply(inverse(multiply(X_89,inverse(X_87))),X_11) != multiply(inverse(multiply(X_89,inverse(X_87))),X_11)
| inverse(multiply(X_89,inverse(X_87))) != multiply(inverse(X_89),X_87)
| multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = multiply(multiply(inverse(X_89),X_87),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_89,inverse(X_87))),X_11),multiply(inverse(multiply(X_89,inverse(X_87))),X_11)) ),[1,0],$fot(multiply(inverse(X_89),X_87))]]) ).
cnf(refute_0_560,plain,
( inverse(multiply(X_89,inverse(X_87))) != multiply(inverse(X_89),X_87)
| multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = multiply(multiply(inverse(X_89),X_87),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,inverse(X_87))),X_11),multiply(inverse(multiply(X_89,inverse(X_87))),X_11)) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiply(inverse(multiply(X_89,inverse(X_87))),X_11) = multiply(multiply(inverse(X_89),X_87),X_11),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,inverse(X_87))),multiply(inverse(X_89),X_87)) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
( multiply(inverse(multiply(X_89,inverse(X_87))),X_11) != multiply(X_87,double_divide(inverse(X_11),X_89))
| multiply(inverse(multiply(X_89,inverse(X_87))),X_11) != multiply(multiply(inverse(X_89),X_87),X_11)
| multiply(multiply(inverse(X_89),X_87),X_11) = multiply(X_87,double_divide(inverse(X_11),X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_89,inverse(X_87))),X_11),multiply(X_87,double_divide(inverse(X_11),X_89))) ),[0],$fot(multiply(multiply(inverse(X_89),X_87),X_11))]]) ).
cnf(refute_0_563,plain,
( multiply(inverse(multiply(X_89,inverse(X_87))),X_11) != multiply(X_87,double_divide(inverse(X_11),X_89))
| multiply(multiply(inverse(X_89),X_87),X_11) = multiply(X_87,double_divide(inverse(X_11),X_89)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,inverse(X_87))),X_11),multiply(multiply(inverse(X_89),X_87),X_11)) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
double_divide(inverse(X_11),X_89) = multiply(inverse(X_89),X_11),
inference(subst,[],[refute_0_552:[bind(X_40,$fot(X_89))]]) ).
cnf(refute_0_565,plain,
multiply(X_87,double_divide(inverse(X_11),X_89)) = multiply(X_87,double_divide(inverse(X_11),X_89)),
introduced(tautology,[refl,[$fot(multiply(X_87,double_divide(inverse(X_11),X_89)))]]) ).
cnf(refute_0_566,plain,
( multiply(X_87,double_divide(inverse(X_11),X_89)) != multiply(X_87,double_divide(inverse(X_11),X_89))
| double_divide(inverse(X_11),X_89) != multiply(inverse(X_89),X_11)
| multiply(X_87,double_divide(inverse(X_11),X_89)) = multiply(X_87,multiply(inverse(X_89),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_87,double_divide(inverse(X_11),X_89)),multiply(X_87,double_divide(inverse(X_11),X_89))) ),[1,1],$fot(multiply(inverse(X_89),X_11))]]) ).
cnf(refute_0_567,plain,
( double_divide(inverse(X_11),X_89) != multiply(inverse(X_89),X_11)
| multiply(X_87,double_divide(inverse(X_11),X_89)) = multiply(X_87,multiply(inverse(X_89),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_87,double_divide(inverse(X_11),X_89)),multiply(X_87,double_divide(inverse(X_11),X_89))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiply(X_87,double_divide(inverse(X_11),X_89)) = multiply(X_87,multiply(inverse(X_89),X_11)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),X_89),multiply(inverse(X_89),X_11)) )],[refute_0_564,refute_0_567]) ).
cnf(refute_0_569,plain,
( multiply(X_87,double_divide(inverse(X_11),X_89)) != multiply(X_87,multiply(inverse(X_89),X_11))
| multiply(multiply(inverse(X_89),X_87),X_11) != multiply(X_87,double_divide(inverse(X_11),X_89))
| multiply(multiply(inverse(X_89),X_87),X_11) = multiply(X_87,multiply(inverse(X_89),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_89),X_87),X_11),multiply(X_87,double_divide(inverse(X_11),X_89))) ),[1],$fot(multiply(X_87,multiply(inverse(X_89),X_11)))]]) ).
cnf(refute_0_570,plain,
( multiply(multiply(inverse(X_89),X_87),X_11) != multiply(X_87,double_divide(inverse(X_11),X_89))
| multiply(multiply(inverse(X_89),X_87),X_11) = multiply(X_87,multiply(inverse(X_89),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_87,double_divide(inverse(X_11),X_89)),multiply(X_87,multiply(inverse(X_89),X_11))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
( multiply(inverse(multiply(X_89,inverse(X_87))),X_11) != multiply(X_87,double_divide(inverse(X_11),X_89))
| multiply(multiply(inverse(X_89),X_87),X_11) = multiply(X_87,multiply(inverse(X_89),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_89),X_87),X_11),multiply(X_87,double_divide(inverse(X_11),X_89))) )],[refute_0_563,refute_0_570]) ).
cnf(refute_0_572,plain,
multiply(multiply(inverse(X_89),X_87),X_11) = multiply(X_87,multiply(inverse(X_89),X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,inverse(X_87))),X_11),multiply(X_87,double_divide(inverse(X_11),X_89))) )],[refute_0_550,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) = multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))),
inference(subst,[],[refute_0_572:[bind(X_11,$fot(multiply(multiply(X_66,inverse(X_11)),X_68))),bind(X_87,$fot(X_11)),bind(X_89,$fot(X_66))]]) ).
cnf(refute_0_574,plain,
( multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))) != multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11)))
| multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) != multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)))
| multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) = multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)))),bind(Y,$fot(multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))))),bind(Z,$fot(multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11)))))]]) ).
cnf(refute_0_575,plain,
( multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))) != multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11)))
| multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) = multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)),multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68)))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) = multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(inverse(X_66),multiply(multiply(X_66,inverse(X_11)),X_68))),multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11)))) )],[refute_0_543,refute_0_575]) ).
cnf(refute_0_577,plain,
( multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) != X_68
| multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) != multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11)))
| multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) = X_68 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)),X_68) ),[0],$fot(multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))))]]) ).
cnf(refute_0_578,plain,
( multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)) != X_68
| multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) = X_68 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)),multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11)))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
multiply(X_11,multiply(multiply(X_66,X_68),double_divide(X_66,X_11))) = X_68,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_66),X_11),multiply(multiply(X_66,inverse(X_11)),X_68)),X_68) )],[refute_0_492,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))) = X_94,
inference(subst,[],[refute_0_579:[bind(X_11,$fot(inverse(B))),bind(X_66,$fot(X_93)),bind(X_68,$fot(X_94))]]) ).
cnf(refute_0_581,plain,
( multiply(B,multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))) != multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))
| multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))) != X_94
| multiply(B,X_94) = multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))) ),[0,1],$fot(X_94)]]) ).
cnf(refute_0_582,plain,
( multiply(B,multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))) != multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))
| multiply(B,X_94) = multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))),X_94) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(B,X_94) = multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))),
inference(resolve,[$cnf( $equal(multiply(B,multiply(inverse(B),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))) )],[refute_0_432,refute_0_582]) ).
cnf(refute_0_584,plain,
inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71)))))),
inference(subst,[],[refute_0_369:[bind(A,$fot(X_69)),bind(B,$fot(multiply(X_41,inverse(double_divide(X_69,X_71))))),bind(C,$fot(X_71))]]) ).
cnf(refute_0_585,plain,
X_41 = multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71)))),
inference(subst,[],[refute_0_400:[bind(X_11,$fot(double_divide(X_69,X_71)))]]) ).
cnf(refute_0_586,plain,
( X_41 != multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71))))
| multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71)))) = X_41 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_41)),bind(Y,$fot(multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71))))))]]) ).
cnf(refute_0_587,plain,
multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71)))) = X_41,
inference(resolve,[$cnf( $equal(X_41,multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71))))) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
( multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71)))) != X_41
| inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) != double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71))))))
| inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(X_69,multiply(X_71,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))),double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71))))))) ),[1,1,1],$fot(X_41)]]) ).
cnf(refute_0_589,plain,
( inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) != double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71))))))
| inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(X_69,multiply(X_71,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71)))),X_41) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(X_69,multiply(X_71,X_41)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))),double_divide(X_69,multiply(X_71,multiply(double_divide(X_69,X_71),multiply(X_41,inverse(double_divide(X_69,X_71))))))) )],[refute_0_584,refute_0_589]) ).
cnf(refute_0_591,plain,
multiply(inverse(X_52),double_divide(B,A)) = double_divide(inverse(double_divide(B,A)),X_52),
inference(subst,[],[refute_0_482:[bind(X_11,$fot(double_divide(B,A))),bind(X_40,$fot(X_52))]]) ).
cnf(refute_0_592,plain,
( multiply(inverse(X_52),double_divide(B,A)) != double_divide(inverse(double_divide(B,A)),X_52)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_52),double_divide(B,A)) = double_divide(multiply(A,B),X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_52),double_divide(B,A)),double_divide(inverse(double_divide(B,A)),X_52)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_593,plain,
( multiply(inverse(X_52),double_divide(B,A)) != double_divide(inverse(double_divide(B,A)),X_52)
| multiply(inverse(X_52),double_divide(B,A)) = double_divide(multiply(A,B),X_52) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_51,refute_0_592]) ).
cnf(refute_0_594,plain,
multiply(inverse(X_52),double_divide(B,A)) = double_divide(multiply(A,B),X_52),
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),double_divide(B,A)),double_divide(inverse(double_divide(B,A)),X_52)) )],[refute_0_591,refute_0_593]) ).
cnf(refute_0_595,plain,
multiply(inverse(X_41),double_divide(X_69,X_71)) = double_divide(multiply(X_71,X_69),X_41),
inference(subst,[],[refute_0_594:[bind(A,$fot(X_71)),bind(B,$fot(X_69)),bind(X_52,$fot(X_41))]]) ).
cnf(refute_0_596,plain,
double_divide(inverse(double_divide(X_69,X_71)),X_41) = multiply(inverse(X_41),double_divide(X_69,X_71)),
inference(subst,[],[refute_0_552:[bind(X_11,$fot(double_divide(X_69,X_71))),bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_597,plain,
( multiply(inverse(X_41),double_divide(X_69,X_71)) != double_divide(multiply(X_71,X_69),X_41)
| double_divide(inverse(double_divide(X_69,X_71)),X_41) != multiply(inverse(X_41),double_divide(X_69,X_71))
| double_divide(inverse(double_divide(X_69,X_71)),X_41) = double_divide(multiply(X_71,X_69),X_41) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(inverse(double_divide(X_69,X_71)),X_41))),bind(Y,$fot(multiply(inverse(X_41),double_divide(X_69,X_71)))),bind(Z,$fot(double_divide(multiply(X_71,X_69),X_41)))]]) ).
cnf(refute_0_598,plain,
( multiply(inverse(X_41),double_divide(X_69,X_71)) != double_divide(multiply(X_71,X_69),X_41)
| double_divide(inverse(double_divide(X_69,X_71)),X_41) = double_divide(multiply(X_71,X_69),X_41) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_69,X_71)),X_41),multiply(inverse(X_41),double_divide(X_69,X_71))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
double_divide(inverse(double_divide(X_69,X_71)),X_41) = double_divide(multiply(X_71,X_69),X_41),
inference(resolve,[$cnf( $equal(multiply(inverse(X_41),double_divide(X_69,X_71)),double_divide(multiply(X_71,X_69),X_41)) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(inverse(double_divide(X_69,X_71)),X_41),
inference(subst,[],[refute_0_279:[bind(A,$fot(X_41)),bind(B,$fot(inverse(double_divide(X_69,X_71))))]]) ).
cnf(refute_0_601,plain,
( double_divide(inverse(double_divide(X_69,X_71)),X_41) != double_divide(multiply(X_71,X_69),X_41)
| inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) != double_divide(inverse(double_divide(X_69,X_71)),X_41)
| inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(multiply(X_71,X_69),X_41) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))))),bind(Y,$fot(double_divide(inverse(double_divide(X_69,X_71)),X_41))),bind(Z,$fot(double_divide(multiply(X_71,X_69),X_41)))]]) ).
cnf(refute_0_602,plain,
( double_divide(inverse(double_divide(X_69,X_71)),X_41) != double_divide(multiply(X_71,X_69),X_41)
| inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(multiply(X_71,X_69),X_41) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))),double_divide(inverse(double_divide(X_69,X_71)),X_41)) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) = double_divide(multiply(X_71,X_69),X_41),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_69,X_71)),X_41),double_divide(multiply(X_71,X_69),X_41)) )],[refute_0_599,refute_0_602]) ).
cnf(refute_0_604,plain,
( inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) != double_divide(X_69,multiply(X_71,X_41))
| inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) != double_divide(multiply(X_71,X_69),X_41)
| double_divide(multiply(X_71,X_69),X_41) = double_divide(X_69,multiply(X_71,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))),double_divide(X_69,multiply(X_71,X_41))) ),[0],$fot(double_divide(multiply(X_71,X_69),X_41))]]) ).
cnf(refute_0_605,plain,
( inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))) != double_divide(X_69,multiply(X_71,X_41))
| double_divide(multiply(X_71,X_69),X_41) = double_divide(X_69,multiply(X_71,X_41)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))),double_divide(multiply(X_71,X_69),X_41)) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
double_divide(multiply(X_71,X_69),X_41) = double_divide(X_69,multiply(X_71,X_41)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_41,inverse(double_divide(X_69,X_71)))),double_divide(X_69,multiply(X_71,X_41))) )],[refute_0_590,refute_0_605]) ).
cnf(refute_0_607,plain,
double_divide(multiply(X_93,X_94),B) = double_divide(X_94,multiply(X_93,B)),
inference(subst,[],[refute_0_606:[bind(X_41,$fot(B)),bind(X_69,$fot(X_94)),bind(X_71,$fot(X_93))]]) ).
cnf(refute_0_608,plain,
double_divide(X_93,double_divide(multiply(X_93,X_94),B)) = double_divide(X_93,double_divide(multiply(X_93,X_94),B)),
introduced(tautology,[refl,[$fot(double_divide(X_93,double_divide(multiply(X_93,X_94),B)))]]) ).
cnf(refute_0_609,plain,
( double_divide(X_93,double_divide(multiply(X_93,X_94),B)) != double_divide(X_93,double_divide(multiply(X_93,X_94),B))
| double_divide(multiply(X_93,X_94),B) != double_divide(X_94,multiply(X_93,B))
| double_divide(X_93,double_divide(multiply(X_93,X_94),B)) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_93,double_divide(multiply(X_93,X_94),B)),double_divide(X_93,double_divide(multiply(X_93,X_94),B))) ),[1,1],$fot(double_divide(X_94,multiply(X_93,B)))]]) ).
cnf(refute_0_610,plain,
( double_divide(multiply(X_93,X_94),B) != double_divide(X_94,multiply(X_93,B))
| double_divide(X_93,double_divide(multiply(X_93,X_94),B)) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
inference(resolve,[$cnf( $equal(double_divide(X_93,double_divide(multiply(X_93,X_94),B)),double_divide(X_93,double_divide(multiply(X_93,X_94),B))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
double_divide(X_93,double_divide(multiply(X_93,X_94),B)) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_93,X_94),B),double_divide(X_94,multiply(X_93,B))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(X_87,double_divide(X_88,inverse(X_48))) = double_divide(X_88,multiply(inverse(X_48),inverse(X_87))),
inference(subst,[],[refute_0_501:[bind(X_39,$fot(X_87)),bind(X_69,$fot(X_88)),bind(X_71,$fot(inverse(X_48)))]]) ).
cnf(refute_0_613,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) = B,
inference(subst,[],[refute_0_17:[bind(A,$fot(double_divide(identity,inverse(inverse(X_15))))),bind(C,$fot(inverse(identity)))]]) ).
cnf(refute_0_614,plain,
double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity)) = X_15,
inference(subst,[],[refute_0_96:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_615,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != B
| double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity)) != X_15
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),B) ),[0,0,1,0,1],$fot(X_15)]]) ).
cnf(refute_0_616,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)) != B
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity)),X_15) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,double_divide(double_divide(identity,inverse(inverse(X_15))),inverse(identity))),double_divide(identity,inverse(identity)))),inverse(identity)),B) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
inverse(double_divide(B,X_15)) = multiply(X_15,B),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_15))]]) ).
cnf(refute_0_619,plain,
double_divide(double_divide(B,X_15),identity) = inverse(double_divide(B,X_15)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,X_15)))]]) ).
cnf(refute_0_620,plain,
( double_divide(double_divide(B,X_15),identity) != inverse(double_divide(B,X_15))
| inverse(double_divide(B,X_15)) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),identity) = multiply(X_15,B) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(B,X_15),identity))),bind(Y,$fot(inverse(double_divide(B,X_15)))),bind(Z,$fot(multiply(X_15,B)))]]) ).
cnf(refute_0_621,plain,
( inverse(double_divide(B,X_15)) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),identity) = multiply(X_15,B) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),identity),inverse(double_divide(B,X_15))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
double_divide(double_divide(B,X_15),identity) = multiply(X_15,B),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,X_15)),multiply(X_15,B)) )],[refute_0_618,refute_0_621]) ).
cnf(refute_0_623,plain,
double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_624,plain,
( double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) != double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(B,X_15),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_625,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(B,X_15),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) = double_divide(double_divide(B,X_15),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_46,refute_0_625]) ).
cnf(refute_0_627,plain,
( double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) != double_divide(double_divide(B,X_15),identity)
| double_divide(double_divide(B,X_15),identity) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) = multiply(X_15,B) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))))),bind(Y,$fot(double_divide(double_divide(B,X_15),identity))),bind(Z,$fot(multiply(X_15,B)))]]) ).
cnf(refute_0_628,plain,
( double_divide(double_divide(B,X_15),identity) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) = multiply(X_15,B) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))),double_divide(double_divide(B,X_15),identity)) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) = multiply(X_15,B),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),identity),multiply(X_15,B)) )],[refute_0_622,refute_0_628]) ).
cnf(refute_0_630,plain,
double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))))]]) ).
cnf(refute_0_631,plain,
( double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) != multiply(X_15,B)
| double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) != double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))))
| double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))))) ),[1,1],$fot(multiply(X_15,B))]]) ).
cnf(refute_0_632,plain,
( double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))) != multiply(X_15,B)
| double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) = double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity))),multiply(X_15,B)) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)))]]) ).
cnf(refute_0_635,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity))
| double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) != double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity))) ),[1,0],$fot(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)))]]) ).
cnf(refute_0_636,plain,
( double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))) != double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != B
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity))
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),B) ),[0],$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)))]]) ).
cnf(refute_0_639,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)) != B
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),double_divide(double_divide(B,X_15),double_divide(identity,inverse(identity)))),inverse(identity)),B) )],[refute_0_617,refute_0_639]) ).
cnf(refute_0_641,plain,
inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),
inference(subst,[],[refute_0_51:[bind(A,$fot(multiply(X_15,B))),bind(B,$fot(double_divide(identity,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_642,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) = inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))))]]) ).
cnf(refute_0_643,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) != inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)))
| inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))) != multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity))),bind(Y,$fot(inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))))),bind(Z,$fot(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))))]]) ).
cnf(refute_0_644,plain,
( inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))) != multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity),inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B))),multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_641,refute_0_644]) ).
cnf(refute_0_646,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)))]]) ).
cnf(refute_0_647,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_648,plain,
( inverse(identity) != identity
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_145,refute_0_648]) ).
cnf(refute_0_650,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) != multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) != double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity)
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity))),bind(Z,$fot(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))))]]) ).
cnf(refute_0_651,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity) != multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity)) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),identity),multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_645,refute_0_651]) ).
cnf(refute_0_653,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) != B
| double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) != multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))
| multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),B) ),[0],$fot(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_654,plain,
( double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)) != B
| multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,inverse(inverse(X_15))),multiply(X_15,B)),inverse(identity)),B) )],[refute_0_640,refute_0_654]) ).
cnf(refute_0_656,plain,
double_divide(identity,inverse(inverse(X_15))) = multiply(inverse(X_15),identity),
inference(subst,[],[refute_0_176:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_657,plain,
multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))))]]) ).
cnf(refute_0_658,plain,
( multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) != multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))
| double_divide(identity,inverse(inverse(X_15))) != multiply(inverse(X_15),identity)
| multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))) ),[1,1],$fot(multiply(inverse(X_15),identity))]]) ).
cnf(refute_0_659,plain,
( double_divide(identity,inverse(inverse(X_15))) != multiply(inverse(X_15),identity)
| multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15))))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) = multiply(multiply(X_15,B),multiply(inverse(X_15),identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_15))),multiply(inverse(X_15),identity)) )],[refute_0_656,refute_0_659]) ).
cnf(refute_0_661,plain,
( multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) != B
| multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) != multiply(multiply(X_15,B),multiply(inverse(X_15),identity))
| multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),B) ),[0],$fot(multiply(multiply(X_15,B),multiply(inverse(X_15),identity)))]]) ).
cnf(refute_0_662,plain,
( multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))) != B
| multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),multiply(multiply(X_15,B),multiply(inverse(X_15),identity))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,B),double_divide(identity,inverse(inverse(X_15)))),B) )],[refute_0_655,refute_0_662]) ).
cnf(refute_0_664,plain,
multiply(inverse(X_15),identity) = inverse(X_15),
inference(subst,[],[refute_0_232:[bind(X_14,$fot(inverse(X_15)))]]) ).
cnf(refute_0_665,plain,
multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,B),multiply(inverse(X_15),identity)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_15,B),multiply(inverse(X_15),identity)))]]) ).
cnf(refute_0_666,plain,
( multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) != multiply(multiply(X_15,B),multiply(inverse(X_15),identity))
| multiply(inverse(X_15),identity) != inverse(X_15)
| multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,B),inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,B),multiply(inverse(X_15),identity)),multiply(multiply(X_15,B),multiply(inverse(X_15),identity))) ),[1,1],$fot(inverse(X_15))]]) ).
cnf(refute_0_667,plain,
( multiply(inverse(X_15),identity) != inverse(X_15)
| multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,B),inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,B),multiply(inverse(X_15),identity)),multiply(multiply(X_15,B),multiply(inverse(X_15),identity))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) = multiply(multiply(X_15,B),inverse(X_15)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),identity),inverse(X_15)) )],[refute_0_664,refute_0_667]) ).
cnf(refute_0_669,plain,
( multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) != B
| multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) != multiply(multiply(X_15,B),inverse(X_15))
| multiply(multiply(X_15,B),inverse(X_15)) = B ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,B),multiply(inverse(X_15),identity)),B) ),[0],$fot(multiply(multiply(X_15,B),inverse(X_15)))]]) ).
cnf(refute_0_670,plain,
( multiply(multiply(X_15,B),multiply(inverse(X_15),identity)) != B
| multiply(multiply(X_15,B),inverse(X_15)) = B ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,B),multiply(inverse(X_15),identity)),multiply(multiply(X_15,B),inverse(X_15))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(multiply(X_15,B),inverse(X_15)) = B,
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,B),multiply(inverse(X_15),identity)),B) )],[refute_0_663,refute_0_670]) ).
cnf(refute_0_672,plain,
multiply(multiply(X_15,double_divide(X_15,X_48)),inverse(X_15)) = double_divide(X_15,X_48),
inference(subst,[],[refute_0_671:[bind(B,$fot(double_divide(X_15,X_48)))]]) ).
cnf(refute_0_673,plain,
multiply(X_15,double_divide(X_15,X_48)) = inverse(X_48),
inference(subst,[],[refute_0_300:[bind(A,$fot(X_15)),bind(X_39,$fot(X_48))]]) ).
cnf(refute_0_674,plain,
( multiply(X_15,double_divide(X_15,X_48)) != inverse(X_48)
| multiply(multiply(X_15,double_divide(X_15,X_48)),inverse(X_15)) != double_divide(X_15,X_48)
| multiply(inverse(X_48),inverse(X_15)) = double_divide(X_15,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,double_divide(X_15,X_48)),inverse(X_15)),double_divide(X_15,X_48)) ),[0,0],$fot(inverse(X_48))]]) ).
cnf(refute_0_675,plain,
( multiply(multiply(X_15,double_divide(X_15,X_48)),inverse(X_15)) != double_divide(X_15,X_48)
| multiply(inverse(X_48),inverse(X_15)) = double_divide(X_15,X_48) ),
inference(resolve,[$cnf( $equal(multiply(X_15,double_divide(X_15,X_48)),inverse(X_48)) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
multiply(inverse(X_48),inverse(X_15)) = double_divide(X_15,X_48),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,double_divide(X_15,X_48)),inverse(X_15)),double_divide(X_15,X_48)) )],[refute_0_672,refute_0_675]) ).
cnf(refute_0_677,plain,
multiply(inverse(X_48),inverse(X_87)) = double_divide(X_87,X_48),
inference(subst,[],[refute_0_676:[bind(X_15,$fot(X_87))]]) ).
cnf(refute_0_678,plain,
( multiply(X_87,double_divide(X_88,inverse(X_48))) != double_divide(X_88,multiply(inverse(X_48),inverse(X_87)))
| multiply(inverse(X_48),inverse(X_87)) != double_divide(X_87,X_48)
| multiply(X_87,double_divide(X_88,inverse(X_48))) = double_divide(X_88,double_divide(X_87,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_87,double_divide(X_88,inverse(X_48))),double_divide(X_88,multiply(inverse(X_48),inverse(X_87)))) ),[1,1],$fot(double_divide(X_87,X_48))]]) ).
cnf(refute_0_679,plain,
( multiply(X_87,double_divide(X_88,inverse(X_48))) != double_divide(X_88,multiply(inverse(X_48),inverse(X_87)))
| multiply(X_87,double_divide(X_88,inverse(X_48))) = double_divide(X_88,double_divide(X_87,X_48)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_48),inverse(X_87)),double_divide(X_87,X_48)) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiply(X_87,double_divide(X_88,inverse(X_48))) = double_divide(X_88,double_divide(X_87,X_48)),
inference(resolve,[$cnf( $equal(multiply(X_87,double_divide(X_88,inverse(X_48))),double_divide(X_88,multiply(inverse(X_48),inverse(X_87)))) )],[refute_0_612,refute_0_679]) ).
cnf(refute_0_681,plain,
double_divide(X_88,inverse(X_48)) = multiply(X_48,inverse(X_88)),
inference(subst,[],[refute_0_358:[bind(X_10,$fot(X_88))]]) ).
cnf(refute_0_682,plain,
multiply(X_87,double_divide(X_88,inverse(X_48))) = multiply(X_87,double_divide(X_88,inverse(X_48))),
introduced(tautology,[refl,[$fot(multiply(X_87,double_divide(X_88,inverse(X_48))))]]) ).
cnf(refute_0_683,plain,
( multiply(X_87,double_divide(X_88,inverse(X_48))) != multiply(X_87,double_divide(X_88,inverse(X_48)))
| double_divide(X_88,inverse(X_48)) != multiply(X_48,inverse(X_88))
| multiply(X_87,double_divide(X_88,inverse(X_48))) = multiply(X_87,multiply(X_48,inverse(X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_87,double_divide(X_88,inverse(X_48))),multiply(X_87,double_divide(X_88,inverse(X_48)))) ),[1,1],$fot(multiply(X_48,inverse(X_88)))]]) ).
cnf(refute_0_684,plain,
( double_divide(X_88,inverse(X_48)) != multiply(X_48,inverse(X_88))
| multiply(X_87,double_divide(X_88,inverse(X_48))) = multiply(X_87,multiply(X_48,inverse(X_88))) ),
inference(resolve,[$cnf( $equal(multiply(X_87,double_divide(X_88,inverse(X_48))),multiply(X_87,double_divide(X_88,inverse(X_48)))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
multiply(X_87,double_divide(X_88,inverse(X_48))) = multiply(X_87,multiply(X_48,inverse(X_88))),
inference(resolve,[$cnf( $equal(double_divide(X_88,inverse(X_48)),multiply(X_48,inverse(X_88))) )],[refute_0_681,refute_0_684]) ).
cnf(refute_0_686,plain,
( multiply(X_87,double_divide(X_88,inverse(X_48))) != multiply(X_87,multiply(X_48,inverse(X_88)))
| multiply(X_87,double_divide(X_88,inverse(X_48))) != double_divide(X_88,double_divide(X_87,X_48))
| multiply(X_87,multiply(X_48,inverse(X_88))) = double_divide(X_88,double_divide(X_87,X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_87,double_divide(X_88,inverse(X_48))),double_divide(X_88,double_divide(X_87,X_48))) ),[0],$fot(multiply(X_87,multiply(X_48,inverse(X_88))))]]) ).
cnf(refute_0_687,plain,
( multiply(X_87,double_divide(X_88,inverse(X_48))) != double_divide(X_88,double_divide(X_87,X_48))
| multiply(X_87,multiply(X_48,inverse(X_88))) = double_divide(X_88,double_divide(X_87,X_48)) ),
inference(resolve,[$cnf( $equal(multiply(X_87,double_divide(X_88,inverse(X_48))),multiply(X_87,multiply(X_48,inverse(X_88)))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
multiply(X_87,multiply(X_48,inverse(X_88))) = double_divide(X_88,double_divide(X_87,X_48)),
inference(resolve,[$cnf( $equal(multiply(X_87,double_divide(X_88,inverse(X_48))),double_divide(X_88,double_divide(X_87,X_48))) )],[refute_0_680,refute_0_687]) ).
cnf(refute_0_689,plain,
multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) = double_divide(X_93,double_divide(multiply(X_93,X_94),B)),
inference(subst,[],[refute_0_688:[bind(X_48,$fot(B)),bind(X_87,$fot(multiply(X_93,X_94))),bind(X_88,$fot(X_93))]]) ).
cnf(refute_0_690,plain,
( multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) != double_divide(X_93,double_divide(multiply(X_93,X_94),B))
| double_divide(X_93,double_divide(multiply(X_93,X_94),B)) != double_divide(X_93,double_divide(X_94,multiply(X_93,B)))
| multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))))),bind(Y,$fot(double_divide(X_93,double_divide(multiply(X_93,X_94),B)))),bind(Z,$fot(double_divide(X_93,double_divide(X_94,multiply(X_93,B)))))]]) ).
cnf(refute_0_691,plain,
( double_divide(X_93,double_divide(multiply(X_93,X_94),B)) != double_divide(X_93,double_divide(X_94,multiply(X_93,B)))
| multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))),double_divide(X_93,double_divide(multiply(X_93,X_94),B))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))),
inference(resolve,[$cnf( $equal(double_divide(X_93,double_divide(multiply(X_93,X_94),B)),double_divide(X_93,double_divide(X_94,multiply(X_93,B)))) )],[refute_0_611,refute_0_691]) ).
cnf(refute_0_693,plain,
double_divide(X_93,inverse(B)) = multiply(B,inverse(X_93)),
inference(subst,[],[refute_0_358:[bind(X_10,$fot(X_93)),bind(X_48,$fot(B))]]) ).
cnf(refute_0_694,plain,
multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) = multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))]]) ).
cnf(refute_0_695,plain,
( multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) != multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))
| double_divide(X_93,inverse(B)) != multiply(B,inverse(X_93))
| multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) = multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))) ),[1,1],$fot(multiply(B,inverse(X_93)))]]) ).
cnf(refute_0_696,plain,
( double_divide(X_93,inverse(B)) != multiply(B,inverse(X_93))
| multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) = multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) = multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))),
inference(resolve,[$cnf( $equal(double_divide(X_93,inverse(B)),multiply(B,inverse(X_93))) )],[refute_0_693,refute_0_696]) ).
cnf(refute_0_698,plain,
( multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) != double_divide(X_93,double_divide(X_94,multiply(X_93,B)))
| multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) != multiply(multiply(X_93,X_94),multiply(B,inverse(X_93)))
| multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))),bind(Y,$fot(multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))))),bind(Z,$fot(double_divide(X_93,double_divide(X_94,multiply(X_93,B)))))]]) ).
cnf(refute_0_699,plain,
( multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))) != double_divide(X_93,double_divide(X_94,multiply(X_93,B)))
| multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))),multiply(multiply(X_93,X_94),multiply(B,inverse(X_93)))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),multiply(B,inverse(X_93))),double_divide(X_93,double_divide(X_94,multiply(X_93,B)))) )],[refute_0_692,refute_0_699]) ).
cnf(refute_0_701,plain,
( multiply(B,X_94) != multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))
| multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))) != double_divide(X_93,double_divide(X_94,multiply(X_93,B)))
| multiply(B,X_94) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,X_94),double_divide(X_93,double_divide(X_94,multiply(X_93,B)))) ),[0],$fot(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))))]]) ).
cnf(refute_0_702,plain,
( multiply(B,X_94) != multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))
| multiply(B,X_94) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B))),double_divide(X_93,double_divide(X_94,multiply(X_93,B)))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(B,X_94) = double_divide(X_93,double_divide(X_94,multiply(X_93,B))),
inference(resolve,[$cnf( $equal(multiply(B,X_94),multiply(multiply(X_93,X_94),double_divide(X_93,inverse(B)))) )],[refute_0_583,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(X_95,X_69) = double_divide(X_69,double_divide(X_69,multiply(X_69,X_95))),
inference(subst,[],[refute_0_703:[bind(B,$fot(X_95)),bind(X_93,$fot(X_69)),bind(X_94,$fot(X_69))]]) ).
cnf(refute_0_705,plain,
( multiply(X_95,X_69) != double_divide(X_69,double_divide(X_69,multiply(X_69,X_95)))
| double_divide(X_69,double_divide(X_69,multiply(X_69,X_95))) = multiply(X_95,X_69) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_95,X_69))),bind(Y,$fot(double_divide(X_69,double_divide(X_69,multiply(X_69,X_95)))))]]) ).
cnf(refute_0_706,plain,
double_divide(X_69,double_divide(X_69,multiply(X_69,X_95))) = multiply(X_95,X_69),
inference(resolve,[$cnf( $equal(multiply(X_95,X_69),double_divide(X_69,double_divide(X_69,multiply(X_69,X_95)))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
( multiply(X_69,X_95) != double_divide(X_69,double_divide(X_69,multiply(X_69,X_95)))
| double_divide(X_69,double_divide(X_69,multiply(X_69,X_95))) != multiply(X_95,X_69)
| multiply(X_69,X_95) = multiply(X_95,X_69) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_69,X_95),multiply(X_95,X_69)) ),[0],$fot(double_divide(X_69,double_divide(X_69,multiply(X_69,X_95))))]]) ).
cnf(refute_0_708,plain,
( multiply(X_69,X_95) != double_divide(X_69,double_divide(X_69,multiply(X_69,X_95)))
| multiply(X_69,X_95) = multiply(X_95,X_69) ),
inference(resolve,[$cnf( $equal(double_divide(X_69,double_divide(X_69,multiply(X_69,X_95))),multiply(X_95,X_69)) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
multiply(X_69,X_95) = multiply(X_95,X_69),
inference(resolve,[$cnf( $equal(multiply(X_69,X_95),double_divide(X_69,double_divide(X_69,multiply(X_69,X_95)))) )],[refute_0_427,refute_0_708]) ).
cnf(refute_0_710,plain,
( multiply(X_69,X_95) != multiply(X_95,X_69)
| multiply(X_95,X_69) = multiply(X_69,X_95) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_69,X_95))),bind(Y,$fot(multiply(X_95,X_69)))]]) ).
cnf(refute_0_711,plain,
multiply(X_95,X_69) = multiply(X_69,X_95),
inference(resolve,[$cnf( $equal(multiply(X_69,X_95),multiply(X_95,X_69)) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
multiply(c3,b3) = multiply(b3,c3),
inference(subst,[],[refute_0_711:[bind(X_69,$fot(b3)),bind(X_95,$fot(c3))]]) ).
cnf(refute_0_713,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(c3,b3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(c3,b3)))]]) ).
cnf(refute_0_714,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) ),[1,1],$fot(multiply(b3,c3))]]) ).
cnf(refute_0_715,plain,
( multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,b3),multiply(b3,c3)) )],[refute_0_712,refute_0_715]) ).
cnf(refute_0_717,plain,
multiply(inverse(double_divide(X_106,X_107)),X_11) = double_divide(inverse(X_11),double_divide(X_106,X_107)),
inference(subst,[],[refute_0_482:[bind(X_40,$fot(double_divide(X_106,X_107)))]]) ).
cnf(refute_0_718,plain,
multiply(multiply(inverse(multiply(X_43,X_44)),X_32),multiply(X_43,X_44)) = X_32,
inference(subst,[],[refute_0_252:[bind(B,$fot(multiply(X_43,X_44)))]]) ).
cnf(refute_0_719,plain,
inverse(multiply(X_43,X_44)) = double_divide(X_44,X_43),
inference(subst,[],[refute_0_279:[bind(A,$fot(X_43)),bind(B,$fot(X_44))]]) ).
cnf(refute_0_720,plain,
( multiply(multiply(inverse(multiply(X_43,X_44)),X_32),multiply(X_43,X_44)) != X_32
| inverse(multiply(X_43,X_44)) != double_divide(X_44,X_43)
| multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(X_43,X_44)),X_32),multiply(X_43,X_44)),X_32) ),[0,0,0],$fot(double_divide(X_44,X_43))]]) ).
cnf(refute_0_721,plain,
( multiply(multiply(inverse(multiply(X_43,X_44)),X_32),multiply(X_43,X_44)) != X_32
| multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)) = X_32 ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,X_44)),double_divide(X_44,X_43)) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(X_43,X_44)),X_32),multiply(X_43,X_44)),X_32) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)) = multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)),
inference(subst,[],[refute_0_422:[bind(A,$fot(multiply(X_43,X_44))),bind(X_73,$fot(multiply(double_divide(X_44,X_43),X_32)))]]) ).
cnf(refute_0_724,plain,
( multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)) != X_32
| multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)) != multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32))
| multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)),X_32) ),[0],$fot(multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)))]]) ).
cnf(refute_0_725,plain,
( multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)) != X_32
| multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)),multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_44,X_43),X_32),multiply(X_43,X_44)),X_32) )],[refute_0_722,refute_0_725]) ).
cnf(refute_0_727,plain,
multiply(A,double_divide(A,double_divide(X_97,multiply(A,X_95)))) = inverse(double_divide(X_97,multiply(A,X_95))),
inference(subst,[],[refute_0_300:[bind(X_39,$fot(double_divide(X_97,multiply(A,X_95))))]]) ).
cnf(refute_0_728,plain,
multiply(X_95,X_97) = double_divide(A,double_divide(X_97,multiply(A,X_95))),
inference(subst,[],[refute_0_703:[bind(B,$fot(X_95)),bind(X_93,$fot(A)),bind(X_94,$fot(X_97))]]) ).
cnf(refute_0_729,plain,
( multiply(X_95,X_97) != double_divide(A,double_divide(X_97,multiply(A,X_95)))
| double_divide(A,double_divide(X_97,multiply(A,X_95))) = multiply(X_95,X_97) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_95,X_97))),bind(Y,$fot(double_divide(A,double_divide(X_97,multiply(A,X_95)))))]]) ).
cnf(refute_0_730,plain,
double_divide(A,double_divide(X_97,multiply(A,X_95))) = multiply(X_95,X_97),
inference(resolve,[$cnf( $equal(multiply(X_95,X_97),double_divide(A,double_divide(X_97,multiply(A,X_95)))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
( multiply(A,double_divide(A,double_divide(X_97,multiply(A,X_95)))) != inverse(double_divide(X_97,multiply(A,X_95)))
| double_divide(A,double_divide(X_97,multiply(A,X_95))) != multiply(X_95,X_97)
| multiply(A,multiply(X_95,X_97)) = inverse(double_divide(X_97,multiply(A,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,double_divide(A,double_divide(X_97,multiply(A,X_95)))),inverse(double_divide(X_97,multiply(A,X_95)))) ),[0,1],$fot(multiply(X_95,X_97))]]) ).
cnf(refute_0_732,plain,
( multiply(A,double_divide(A,double_divide(X_97,multiply(A,X_95)))) != inverse(double_divide(X_97,multiply(A,X_95)))
| multiply(A,multiply(X_95,X_97)) = inverse(double_divide(X_97,multiply(A,X_95))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(X_97,multiply(A,X_95))),multiply(X_95,X_97)) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
multiply(A,multiply(X_95,X_97)) = inverse(double_divide(X_97,multiply(A,X_95))),
inference(resolve,[$cnf( $equal(multiply(A,double_divide(A,double_divide(X_97,multiply(A,X_95)))),inverse(double_divide(X_97,multiply(A,X_95)))) )],[refute_0_727,refute_0_732]) ).
cnf(refute_0_734,plain,
inverse(double_divide(X_97,multiply(A,X_95))) = multiply(multiply(A,X_95),X_97),
inference(subst,[],[refute_0_51:[bind(A,$fot(multiply(A,X_95))),bind(B,$fot(X_97))]]) ).
cnf(refute_0_735,plain,
( multiply(A,multiply(X_95,X_97)) != inverse(double_divide(X_97,multiply(A,X_95)))
| inverse(double_divide(X_97,multiply(A,X_95))) != multiply(multiply(A,X_95),X_97)
| multiply(A,multiply(X_95,X_97)) = multiply(multiply(A,X_95),X_97) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(X_95,X_97)),multiply(multiply(A,X_95),X_97)) ),[0],$fot(inverse(double_divide(X_97,multiply(A,X_95))))]]) ).
cnf(refute_0_736,plain,
( multiply(A,multiply(X_95,X_97)) != inverse(double_divide(X_97,multiply(A,X_95)))
| multiply(A,multiply(X_95,X_97)) = multiply(multiply(A,X_95),X_97) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_97,multiply(A,X_95))),multiply(multiply(A,X_95),X_97)) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
multiply(A,multiply(X_95,X_97)) = multiply(multiply(A,X_95),X_97),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_95,X_97)),inverse(double_divide(X_97,multiply(A,X_95)))) )],[refute_0_733,refute_0_736]) ).
cnf(refute_0_738,plain,
( multiply(A,multiply(X_95,X_97)) != multiply(multiply(A,X_95),X_97)
| multiply(multiply(A,X_95),X_97) = multiply(A,multiply(X_95,X_97)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,multiply(X_95,X_97)))),bind(Y,$fot(multiply(multiply(A,X_95),X_97)))]]) ).
cnf(refute_0_739,plain,
multiply(multiply(A,X_95),X_97) = multiply(A,multiply(X_95,X_97)),
inference(resolve,[$cnf( $equal(multiply(A,multiply(X_95,X_97)),multiply(multiply(A,X_95),X_97)) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)) = multiply(X_43,multiply(X_44,multiply(double_divide(X_44,X_43),X_32))),
inference(subst,[],[refute_0_739:[bind(A,$fot(X_43)),bind(X_95,$fot(X_44)),bind(X_97,$fot(multiply(double_divide(X_44,X_43),X_32)))]]) ).
cnf(refute_0_741,plain,
( multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)) != X_32
| multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)) != multiply(X_43,multiply(X_44,multiply(double_divide(X_44,X_43),X_32)))
| multiply(X_43,multiply(X_44,multiply(double_divide(X_44,X_43),X_32))) = X_32 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)),X_32) ),[0],$fot(multiply(X_43,multiply(X_44,multiply(double_divide(X_44,X_43),X_32))))]]) ).
cnf(refute_0_742,plain,
( multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)) != X_32
| multiply(X_43,multiply(X_44,multiply(double_divide(X_44,X_43),X_32))) = X_32 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)),multiply(X_43,multiply(X_44,multiply(double_divide(X_44,X_43),X_32)))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(X_43,multiply(X_44,multiply(double_divide(X_44,X_43),X_32))) = X_32,
inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_44),multiply(double_divide(X_44,X_43),X_32)),X_32) )],[refute_0_726,refute_0_742]) ).
cnf(refute_0_744,plain,
multiply(X_101,multiply(X_102,multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))))) = double_divide(X_32,double_divide(X_102,X_101)),
inference(subst,[],[refute_0_743:[bind(X_32,$fot(double_divide(X_32,double_divide(X_102,X_101)))),bind(X_43,$fot(X_101)),bind(X_44,$fot(X_102))]]) ).
cnf(refute_0_745,plain,
inverse(multiply(X_17,X_32)) = double_divide(X_32,X_17),
inference(subst,[],[refute_0_279:[bind(A,$fot(X_17)),bind(B,$fot(X_32))]]) ).
cnf(refute_0_746,plain,
multiply(inverse(multiply(X_17,X_32)),X_17) = multiply(inverse(multiply(X_17,X_32)),X_17),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_17,X_32)),X_17))]]) ).
cnf(refute_0_747,plain,
( multiply(inverse(multiply(X_17,X_32)),X_17) != multiply(inverse(multiply(X_17,X_32)),X_17)
| inverse(multiply(X_17,X_32)) != double_divide(X_32,X_17)
| multiply(inverse(multiply(X_17,X_32)),X_17) = multiply(double_divide(X_32,X_17),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_17,X_32)),X_17),multiply(inverse(multiply(X_17,X_32)),X_17)) ),[1,0],$fot(double_divide(X_32,X_17))]]) ).
cnf(refute_0_748,plain,
( inverse(multiply(X_17,X_32)) != double_divide(X_32,X_17)
| multiply(inverse(multiply(X_17,X_32)),X_17) = multiply(double_divide(X_32,X_17),X_17) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_17,X_32)),X_17),multiply(inverse(multiply(X_17,X_32)),X_17)) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
multiply(inverse(multiply(X_17,X_32)),X_17) = multiply(double_divide(X_32,X_17),X_17),
inference(resolve,[$cnf( $equal(inverse(multiply(X_17,X_32)),double_divide(X_32,X_17)) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
double_divide(inverse(X_17),multiply(X_17,X_32)) = multiply(inverse(multiply(X_17,X_32)),X_17),
inference(subst,[],[refute_0_552:[bind(X_11,$fot(X_17)),bind(X_40,$fot(multiply(X_17,X_32)))]]) ).
cnf(refute_0_751,plain,
( multiply(inverse(multiply(X_17,X_32)),X_17) != multiply(double_divide(X_32,X_17),X_17)
| double_divide(inverse(X_17),multiply(X_17,X_32)) != multiply(inverse(multiply(X_17,X_32)),X_17)
| double_divide(inverse(X_17),multiply(X_17,X_32)) = multiply(double_divide(X_32,X_17),X_17) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(inverse(X_17),multiply(X_17,X_32)))),bind(Y,$fot(multiply(inverse(multiply(X_17,X_32)),X_17))),bind(Z,$fot(multiply(double_divide(X_32,X_17),X_17)))]]) ).
cnf(refute_0_752,plain,
( multiply(inverse(multiply(X_17,X_32)),X_17) != multiply(double_divide(X_32,X_17),X_17)
| double_divide(inverse(X_17),multiply(X_17,X_32)) = multiply(double_divide(X_32,X_17),X_17) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,X_32)),multiply(inverse(multiply(X_17,X_32)),X_17)) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
double_divide(inverse(X_17),multiply(X_17,X_32)) = multiply(double_divide(X_32,X_17),X_17),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_17,X_32)),X_17),multiply(double_divide(X_32,X_17),X_17)) )],[refute_0_749,refute_0_752]) ).
cnf(refute_0_754,plain,
( double_divide(inverse(X_17),multiply(X_17,X_32)) != multiply(double_divide(X_32,X_17),X_17)
| inverse(X_32) != double_divide(inverse(X_17),multiply(X_17,X_32))
| inverse(X_32) = multiply(double_divide(X_32,X_17),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_32),double_divide(inverse(X_17),multiply(X_17,X_32))) ),[1],$fot(multiply(double_divide(X_32,X_17),X_17))]]) ).
cnf(refute_0_755,plain,
( inverse(X_32) != double_divide(inverse(X_17),multiply(X_17,X_32))
| inverse(X_32) = multiply(double_divide(X_32,X_17),X_17) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_17),multiply(X_17,X_32)),multiply(double_divide(X_32,X_17),X_17)) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
inverse(X_32) = multiply(double_divide(X_32,X_17),X_17),
inference(resolve,[$cnf( $equal(inverse(X_32),double_divide(inverse(X_17),multiply(X_17,X_32))) )],[refute_0_240,refute_0_755]) ).
cnf(refute_0_757,plain,
multiply(double_divide(X_32,X_17),X_17) = multiply(X_17,double_divide(X_32,X_17)),
inference(subst,[],[refute_0_422:[bind(A,$fot(X_17)),bind(X_73,$fot(double_divide(X_32,X_17)))]]) ).
cnf(refute_0_758,plain,
( multiply(double_divide(X_32,X_17),X_17) != multiply(X_17,double_divide(X_32,X_17))
| inverse(X_32) != multiply(double_divide(X_32,X_17),X_17)
| inverse(X_32) = multiply(X_17,double_divide(X_32,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_32),multiply(double_divide(X_32,X_17),X_17)) ),[1],$fot(multiply(X_17,double_divide(X_32,X_17)))]]) ).
cnf(refute_0_759,plain,
( inverse(X_32) != multiply(double_divide(X_32,X_17),X_17)
| inverse(X_32) = multiply(X_17,double_divide(X_32,X_17)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_32,X_17),X_17),multiply(X_17,double_divide(X_32,X_17))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
inverse(X_32) = multiply(X_17,double_divide(X_32,X_17)),
inference(resolve,[$cnf( $equal(inverse(X_32),multiply(double_divide(X_32,X_17),X_17)) )],[refute_0_756,refute_0_759]) ).
cnf(refute_0_761,plain,
inverse(X_32) = multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))),
inference(subst,[],[refute_0_760:[bind(X_17,$fot(double_divide(X_102,X_101)))]]) ).
cnf(refute_0_762,plain,
( inverse(X_32) != multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101)))
| multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))) = inverse(X_32) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_32))),bind(Y,$fot(multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101)))))]]) ).
cnf(refute_0_763,plain,
multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))) = inverse(X_32),
inference(resolve,[$cnf( $equal(inverse(X_32),multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101)))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
( multiply(X_101,multiply(X_102,multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))))) != double_divide(X_32,double_divide(X_102,X_101))
| multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))) != inverse(X_32)
| multiply(X_101,multiply(X_102,inverse(X_32))) = double_divide(X_32,double_divide(X_102,X_101)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_101,multiply(X_102,multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))))),double_divide(X_32,double_divide(X_102,X_101))) ),[0,1,1],$fot(inverse(X_32))]]) ).
cnf(refute_0_765,plain,
( multiply(X_101,multiply(X_102,multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))))) != double_divide(X_32,double_divide(X_102,X_101))
| multiply(X_101,multiply(X_102,inverse(X_32))) = double_divide(X_32,double_divide(X_102,X_101)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))),inverse(X_32)) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
multiply(X_101,multiply(X_102,inverse(X_32))) = double_divide(X_32,double_divide(X_102,X_101)),
inference(resolve,[$cnf( $equal(multiply(X_101,multiply(X_102,multiply(double_divide(X_102,X_101),double_divide(X_32,double_divide(X_102,X_101))))),double_divide(X_32,double_divide(X_102,X_101))) )],[refute_0_744,refute_0_765]) ).
cnf(refute_0_767,plain,
multiply(X_101,multiply(X_102,inverse(X_32))) = double_divide(X_32,double_divide(X_101,X_102)),
inference(subst,[],[refute_0_688:[bind(X_48,$fot(X_102)),bind(X_87,$fot(X_101)),bind(X_88,$fot(X_32))]]) ).
cnf(refute_0_768,plain,
( multiply(X_101,multiply(X_102,inverse(X_32))) != double_divide(X_32,double_divide(X_101,X_102))
| multiply(X_101,multiply(X_102,inverse(X_32))) != double_divide(X_32,double_divide(X_102,X_101))
| double_divide(X_32,double_divide(X_101,X_102)) = double_divide(X_32,double_divide(X_102,X_101)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_101,multiply(X_102,inverse(X_32))),double_divide(X_32,double_divide(X_102,X_101))) ),[0],$fot(double_divide(X_32,double_divide(X_101,X_102)))]]) ).
cnf(refute_0_769,plain,
( multiply(X_101,multiply(X_102,inverse(X_32))) != double_divide(X_32,double_divide(X_102,X_101))
| double_divide(X_32,double_divide(X_101,X_102)) = double_divide(X_32,double_divide(X_102,X_101)) ),
inference(resolve,[$cnf( $equal(multiply(X_101,multiply(X_102,inverse(X_32))),double_divide(X_32,double_divide(X_101,X_102))) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
double_divide(X_32,double_divide(X_101,X_102)) = double_divide(X_32,double_divide(X_102,X_101)),
inference(resolve,[$cnf( $equal(multiply(X_101,multiply(X_102,inverse(X_32))),double_divide(X_32,double_divide(X_102,X_101))) )],[refute_0_766,refute_0_769]) ).
cnf(refute_0_771,plain,
double_divide(inverse(X_11),double_divide(X_106,X_107)) = double_divide(inverse(X_11),double_divide(X_107,X_106)),
inference(subst,[],[refute_0_770:[bind(X_101,$fot(X_106)),bind(X_102,$fot(X_107)),bind(X_32,$fot(inverse(X_11)))]]) ).
cnf(refute_0_772,plain,
( multiply(inverse(double_divide(X_106,X_107)),X_11) != double_divide(inverse(X_11),double_divide(X_106,X_107))
| double_divide(inverse(X_11),double_divide(X_106,X_107)) != double_divide(inverse(X_11),double_divide(X_107,X_106))
| multiply(inverse(double_divide(X_106,X_107)),X_11) = double_divide(inverse(X_11),double_divide(X_107,X_106)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),double_divide(inverse(X_11),double_divide(X_107,X_106))) ),[0],$fot(double_divide(inverse(X_11),double_divide(X_106,X_107)))]]) ).
cnf(refute_0_773,plain,
( multiply(inverse(double_divide(X_106,X_107)),X_11) != double_divide(inverse(X_11),double_divide(X_106,X_107))
| multiply(inverse(double_divide(X_106,X_107)),X_11) = double_divide(inverse(X_11),double_divide(X_107,X_106)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(X_106,X_107)),double_divide(inverse(X_11),double_divide(X_107,X_106))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
multiply(inverse(double_divide(X_106,X_107)),X_11) = double_divide(inverse(X_11),double_divide(X_107,X_106)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),double_divide(inverse(X_11),double_divide(X_106,X_107))) )],[refute_0_717,refute_0_773]) ).
cnf(refute_0_775,plain,
multiply(multiply(X_107,X_106),X_11) = multiply(X_107,multiply(X_106,X_11)),
inference(subst,[],[refute_0_739:[bind(A,$fot(X_107)),bind(X_95,$fot(X_106)),bind(X_97,$fot(X_11))]]) ).
cnf(refute_0_776,plain,
inverse(double_divide(X_106,X_107)) = multiply(X_107,X_106),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_107)),bind(B,$fot(X_106))]]) ).
cnf(refute_0_777,plain,
multiply(inverse(double_divide(X_106,X_107)),X_11) = multiply(inverse(double_divide(X_106,X_107)),X_11),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_106,X_107)),X_11))]]) ).
cnf(refute_0_778,plain,
( multiply(inverse(double_divide(X_106,X_107)),X_11) != multiply(inverse(double_divide(X_106,X_107)),X_11)
| inverse(double_divide(X_106,X_107)) != multiply(X_107,X_106)
| multiply(inverse(double_divide(X_106,X_107)),X_11) = multiply(multiply(X_107,X_106),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),multiply(inverse(double_divide(X_106,X_107)),X_11)) ),[1,0],$fot(multiply(X_107,X_106))]]) ).
cnf(refute_0_779,plain,
( inverse(double_divide(X_106,X_107)) != multiply(X_107,X_106)
| multiply(inverse(double_divide(X_106,X_107)),X_11) = multiply(multiply(X_107,X_106),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),multiply(inverse(double_divide(X_106,X_107)),X_11)) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
multiply(inverse(double_divide(X_106,X_107)),X_11) = multiply(multiply(X_107,X_106),X_11),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_106,X_107)),multiply(X_107,X_106)) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
( multiply(multiply(X_107,X_106),X_11) != multiply(X_107,multiply(X_106,X_11))
| multiply(inverse(double_divide(X_106,X_107)),X_11) != multiply(multiply(X_107,X_106),X_11)
| multiply(inverse(double_divide(X_106,X_107)),X_11) = multiply(X_107,multiply(X_106,X_11)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(inverse(double_divide(X_106,X_107)),X_11))),bind(Y,$fot(multiply(multiply(X_107,X_106),X_11))),bind(Z,$fot(multiply(X_107,multiply(X_106,X_11))))]]) ).
cnf(refute_0_782,plain,
( multiply(multiply(X_107,X_106),X_11) != multiply(X_107,multiply(X_106,X_11))
| multiply(inverse(double_divide(X_106,X_107)),X_11) = multiply(X_107,multiply(X_106,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),multiply(multiply(X_107,X_106),X_11)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
multiply(inverse(double_divide(X_106,X_107)),X_11) = multiply(X_107,multiply(X_106,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_107,X_106),X_11),multiply(X_107,multiply(X_106,X_11))) )],[refute_0_775,refute_0_782]) ).
cnf(refute_0_784,plain,
( multiply(inverse(double_divide(X_106,X_107)),X_11) != multiply(X_107,multiply(X_106,X_11))
| multiply(inverse(double_divide(X_106,X_107)),X_11) != double_divide(inverse(X_11),double_divide(X_107,X_106))
| multiply(X_107,multiply(X_106,X_11)) = double_divide(inverse(X_11),double_divide(X_107,X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),double_divide(inverse(X_11),double_divide(X_107,X_106))) ),[0],$fot(multiply(X_107,multiply(X_106,X_11)))]]) ).
cnf(refute_0_785,plain,
( multiply(inverse(double_divide(X_106,X_107)),X_11) != double_divide(inverse(X_11),double_divide(X_107,X_106))
| multiply(X_107,multiply(X_106,X_11)) = double_divide(inverse(X_11),double_divide(X_107,X_106)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),multiply(X_107,multiply(X_106,X_11))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
multiply(multiply(X_106,X_107),X_11) = multiply(X_106,multiply(X_107,X_11)),
inference(subst,[],[refute_0_739:[bind(A,$fot(X_106)),bind(X_95,$fot(X_107)),bind(X_97,$fot(X_11))]]) ).
cnf(refute_0_787,plain,
inverse(double_divide(X_107,X_106)) = multiply(X_106,X_107),
inference(subst,[],[refute_0_51:[bind(A,$fot(X_106)),bind(B,$fot(X_107))]]) ).
cnf(refute_0_788,plain,
multiply(inverse(double_divide(X_107,X_106)),X_11) = multiply(inverse(double_divide(X_107,X_106)),X_11),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_107,X_106)),X_11))]]) ).
cnf(refute_0_789,plain,
( multiply(inverse(double_divide(X_107,X_106)),X_11) != multiply(inverse(double_divide(X_107,X_106)),X_11)
| inverse(double_divide(X_107,X_106)) != multiply(X_106,X_107)
| multiply(inverse(double_divide(X_107,X_106)),X_11) = multiply(multiply(X_106,X_107),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_107,X_106)),X_11),multiply(inverse(double_divide(X_107,X_106)),X_11)) ),[1,0],$fot(multiply(X_106,X_107))]]) ).
cnf(refute_0_790,plain,
( inverse(double_divide(X_107,X_106)) != multiply(X_106,X_107)
| multiply(inverse(double_divide(X_107,X_106)),X_11) = multiply(multiply(X_106,X_107),X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_107,X_106)),X_11),multiply(inverse(double_divide(X_107,X_106)),X_11)) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
multiply(inverse(double_divide(X_107,X_106)),X_11) = multiply(multiply(X_106,X_107),X_11),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_107,X_106)),multiply(X_106,X_107)) )],[refute_0_787,refute_0_790]) ).
cnf(refute_0_792,plain,
( multiply(multiply(X_106,X_107),X_11) != multiply(X_106,multiply(X_107,X_11))
| multiply(inverse(double_divide(X_107,X_106)),X_11) != multiply(multiply(X_106,X_107),X_11)
| multiply(inverse(double_divide(X_107,X_106)),X_11) = multiply(X_106,multiply(X_107,X_11)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(inverse(double_divide(X_107,X_106)),X_11))),bind(Y,$fot(multiply(multiply(X_106,X_107),X_11))),bind(Z,$fot(multiply(X_106,multiply(X_107,X_11))))]]) ).
cnf(refute_0_793,plain,
( multiply(multiply(X_106,X_107),X_11) != multiply(X_106,multiply(X_107,X_11))
| multiply(inverse(double_divide(X_107,X_106)),X_11) = multiply(X_106,multiply(X_107,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_107,X_106)),X_11),multiply(multiply(X_106,X_107),X_11)) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
multiply(inverse(double_divide(X_107,X_106)),X_11) = multiply(X_106,multiply(X_107,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_106,X_107),X_11),multiply(X_106,multiply(X_107,X_11))) )],[refute_0_786,refute_0_793]) ).
cnf(refute_0_795,plain,
double_divide(inverse(X_11),double_divide(X_107,X_106)) = multiply(inverse(double_divide(X_107,X_106)),X_11),
inference(subst,[],[refute_0_552:[bind(X_40,$fot(double_divide(X_107,X_106)))]]) ).
cnf(refute_0_796,plain,
( multiply(inverse(double_divide(X_107,X_106)),X_11) != multiply(X_106,multiply(X_107,X_11))
| double_divide(inverse(X_11),double_divide(X_107,X_106)) != multiply(inverse(double_divide(X_107,X_106)),X_11)
| double_divide(inverse(X_11),double_divide(X_107,X_106)) = multiply(X_106,multiply(X_107,X_11)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(double_divide(inverse(X_11),double_divide(X_107,X_106)))),bind(Y,$fot(multiply(inverse(double_divide(X_107,X_106)),X_11))),bind(Z,$fot(multiply(X_106,multiply(X_107,X_11))))]]) ).
cnf(refute_0_797,plain,
( multiply(inverse(double_divide(X_107,X_106)),X_11) != multiply(X_106,multiply(X_107,X_11))
| double_divide(inverse(X_11),double_divide(X_107,X_106)) = multiply(X_106,multiply(X_107,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(X_107,X_106)),multiply(inverse(double_divide(X_107,X_106)),X_11)) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
double_divide(inverse(X_11),double_divide(X_107,X_106)) = multiply(X_106,multiply(X_107,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_107,X_106)),X_11),multiply(X_106,multiply(X_107,X_11))) )],[refute_0_794,refute_0_797]) ).
cnf(refute_0_799,plain,
( multiply(X_107,multiply(X_106,X_11)) != double_divide(inverse(X_11),double_divide(X_107,X_106))
| double_divide(inverse(X_11),double_divide(X_107,X_106)) != multiply(X_106,multiply(X_107,X_11))
| multiply(X_107,multiply(X_106,X_11)) = multiply(X_106,multiply(X_107,X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_107,multiply(X_106,X_11)),multiply(X_106,multiply(X_107,X_11))) ),[0],$fot(double_divide(inverse(X_11),double_divide(X_107,X_106)))]]) ).
cnf(refute_0_800,plain,
( multiply(X_107,multiply(X_106,X_11)) != double_divide(inverse(X_11),double_divide(X_107,X_106))
| multiply(X_107,multiply(X_106,X_11)) = multiply(X_106,multiply(X_107,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(X_107,X_106)),multiply(X_106,multiply(X_107,X_11))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
( multiply(inverse(double_divide(X_106,X_107)),X_11) != double_divide(inverse(X_11),double_divide(X_107,X_106))
| multiply(X_107,multiply(X_106,X_11)) = multiply(X_106,multiply(X_107,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_107,multiply(X_106,X_11)),double_divide(inverse(X_11),double_divide(X_107,X_106))) )],[refute_0_785,refute_0_800]) ).
cnf(refute_0_802,plain,
multiply(X_107,multiply(X_106,X_11)) = multiply(X_106,multiply(X_107,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_106,X_107)),X_11),double_divide(inverse(X_11),double_divide(X_107,X_106))) )],[refute_0_774,refute_0_801]) ).
cnf(refute_0_803,plain,
( multiply(X_107,multiply(X_106,X_11)) != multiply(X_106,multiply(X_107,X_11))
| multiply(X_106,multiply(X_107,X_11)) = multiply(X_107,multiply(X_106,X_11)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_107,multiply(X_106,X_11)))),bind(Y,$fot(multiply(X_106,multiply(X_107,X_11))))]]) ).
cnf(refute_0_804,plain,
multiply(X_106,multiply(X_107,X_11)) = multiply(X_107,multiply(X_106,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_107,multiply(X_106,X_11)),multiply(X_106,multiply(X_107,X_11))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_804:[bind(X_106,$fot(c3)),bind(X_107,$fot(a3)),bind(X_11,$fot(b3))]]) ).
cnf(refute_0_806,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_55:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(a3,multiply(c3,b3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_807,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_716,refute_0_807]) ).
cnf(refute_0_809,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_810,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_810,refute_0_426]) ).
cnf(refute_0_812,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_813,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_812,refute_0_811]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP567-1 : TPTP v8.1.0. Released v2.6.0.
% 0.09/0.15 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 17:20:12 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.45/0.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.63
% 0.45/0.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.57/0.75
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