TSTP Solution File: GRP575-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 10:42:28 EDT 2022
% Result : Unsatisfiable 0.21s 0.48s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 92
% Number of leaves : 172
% Syntax : Number of clauses : 652 ( 327 unt; 0 nHn; 330 RR)
% Number of literals : 1124 (1123 equ; 475 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 : 1349 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),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( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_6,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)))]]) ).
cnf(refute_0_7,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_8,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
double_divide(C,identity) = inverse(C),
inference(subst,[],[refute_0_4:[bind(A,$fot(C))]]) ).
cnf(refute_0_11,plain,
double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))]]) ).
cnf(refute_0_12,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_13,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))))]]) ).
cnf(refute_0_16,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))) ),[1,1],$fot(double_divide(double_divide(B,double_divide(C,A)),inverse(C)))]]) ).
cnf(refute_0_17,plain,
( double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),inverse(C))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_20,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))))]]) ).
cnf(refute_0_21,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_23]) ).
cnf(refute_0_25,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)))),bind(Z,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))))]]) ).
cnf(refute_0_26,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))) )],[refute_0_9,refute_0_26]) ).
cnf(refute_0_28,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),B) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)))]]) ).
cnf(refute_0_29,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),B) )],[single_axiom,refute_0_29]) ).
cnf(refute_0_31,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_30:[bind(A,$fot(multiply(X_2,X_3))),bind(B,$fot(X_11)),bind(C,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_32,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_33,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_34,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_35,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| multiply(A,B) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),identity),inverse(double_divide(B,A))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
inference(subst,[],[refute_0_36:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_38,plain,
( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
| inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_39,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).
cnf(refute_0_41,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_32,refute_0_41]) ).
cnf(refute_0_43,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_44,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_46,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) )],[refute_0_31,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_49,plain,
( double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).
cnf(refute_0_50,plain,
( inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_39,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_54,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_55,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))
| double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))),bind(Y,$fot(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))))),bind(Z,$fot(double_divide(inverse(X_11),multiply(X_2,X_3))))]]) ).
cnf(refute_0_58,plain,
( double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),multiply(X_2,X_3))) )],[refute_0_51,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))))]]) ).
cnf(refute_0_61,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))) ),[1,1],$fot(double_divide(inverse(X_11),multiply(X_2,X_3)))]]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),multiply(X_2,X_3))) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)))]]) ).
cnf(refute_0_65,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))) ),[1,0],$fot(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))]]) ).
cnf(refute_0_66,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))]]) ).
cnf(refute_0_69,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) )],[refute_0_47,refute_0_69]) ).
cnf(refute_0_71,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_72,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_36,refute_0_71]) ).
cnf(refute_0_73,plain,
inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
inference(subst,[],[refute_0_72:[bind(A,$fot(double_divide(inverse(X_11),multiply(X_2,X_3)))),bind(B,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_74,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))))]]) ).
cnf(refute_0_75,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))
| inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity))),bind(Y,$fot(inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))))),bind(Z,$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_76,plain,
( inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_30:[bind(A,$fot(inverse(X_12))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_79,plain,
identity = double_divide(X_12,inverse(X_12)),
inference(subst,[],[identity:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_80,plain,
( identity != double_divide(X_12,inverse(X_12))
| double_divide(X_12,inverse(X_12)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_12,inverse(X_12))))]]) ).
cnf(refute_0_81,plain,
double_divide(X_12,inverse(X_12)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_12,inverse(X_12))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( double_divide(X_12,inverse(X_12)) != identity
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_83,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(X_12)),identity) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_78,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(double_divide(X_11,identity),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(X_12)))]]) ).
cnf(refute_0_86,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(double_divide(X_11,identity),inverse(X_12))
| double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_87,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_52,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))))]]) ).
cnf(refute_0_90,plain,
( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(X_12)))]]) ).
cnf(refute_0_91,plain,
( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(inverse(X_11),inverse(X_12))) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_94,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))))]]) ).
cnf(refute_0_95,plain,
( double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_98,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_84,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) = X_13,
inference(subst,[],[refute_0_99:[bind(X_11,$fot(X_13)),bind(X_12,$fot(inverse(X_13)))]]) ).
cnf(refute_0_101,plain,
identity = double_divide(inverse(X_13),inverse(inverse(X_13))),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_102,plain,
( identity != double_divide(inverse(X_13),inverse(inverse(X_13)))
| double_divide(inverse(X_13),inverse(inverse(X_13))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(X_13),inverse(inverse(X_13)))))]]) ).
cnf(refute_0_103,plain,
double_divide(inverse(X_13),inverse(inverse(X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_13),inverse(inverse(X_13)))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(inverse(X_13))) != identity
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_105,plain,
( double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(inverse(X_13))),identity) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) )],[refute_0_100,refute_0_105]) ).
cnf(refute_0_107,plain,
double_divide(inverse(inverse(X_13)),identity) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_108,plain,
double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)))]]) ).
cnf(refute_0_109,plain,
( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))
| double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))) ),[1,0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_110,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != X_13
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),inverse(identity))
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),X_13) ),[0],$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))]]) ).
cnf(refute_0_113,plain,
( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != X_13
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),X_13) )],[refute_0_106,refute_0_113]) ).
cnf(refute_0_115,plain,
double_divide(inverse(inverse(inverse(inverse(identity)))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_114:[bind(X_13,$fot(inverse(identity)))]]) ).
cnf(refute_0_116,plain,
identity = double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity))),
inference(subst,[],[refute_0_42:[bind(X_2,$fot(inverse(identity))),bind(X_3,$fot(inverse(identity)))]]) ).
cnf(refute_0_117,plain,
multiply(inverse(identity),inverse(identity)) = inverse(double_divide(inverse(identity),inverse(identity))),
inference(subst,[],[refute_0_36:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(identity)))]]) ).
cnf(refute_0_118,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_30:[bind(A,$fot(identity)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_119,plain,
inverse(X_12) = double_divide(X_12,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_120,plain,
( inverse(X_12) != double_divide(X_12,identity)
| double_divide(X_12,identity) = inverse(X_12) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(double_divide(X_12,identity)))]]) ).
cnf(refute_0_121,plain,
double_divide(X_12,identity) = inverse(X_12),
inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(X_12,identity)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_123,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_17,inverse(X_17)),inverse(X_17))),inverse(identity)) = X_17,
inference(subst,[],[refute_0_124:[bind(X_11,$fot(X_17)),bind(X_12,$fot(X_17))]]) ).
cnf(refute_0_126,plain,
identity = double_divide(X_17,inverse(X_17)),
inference(subst,[],[identity:[bind(A,$fot(X_17))]]) ).
cnf(refute_0_127,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_128,plain,
double_divide(X_17,inverse(X_17)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_17,inverse(X_17))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
( double_divide(X_17,inverse(X_17)) != identity
| double_divide(double_divide(identity,double_divide(double_divide(X_17,inverse(X_17)),inverse(X_17))),inverse(identity)) != X_17
| double_divide(double_divide(identity,double_divide(identity,inverse(X_17))),inverse(identity)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_17,inverse(X_17)),inverse(X_17))),inverse(identity)),X_17) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_130,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_17,inverse(X_17)),inverse(X_17))),inverse(identity)) != X_17
| double_divide(double_divide(identity,double_divide(identity,inverse(X_17))),inverse(identity)) = X_17 ),
inference(resolve,[$cnf( $equal(double_divide(X_17,inverse(X_17)),identity) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_17))),inverse(identity)) = X_17,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_17,inverse(X_17)),inverse(X_17))),inverse(identity)),X_17) )],[refute_0_125,refute_0_130]) ).
cnf(refute_0_132,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_131:[bind(X_17,$fot(identity))]]) ).
cnf(refute_0_133,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_134,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_135,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_137,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) )],[refute_0_132,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(double_divide(identity,identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),inverse(identity)))]]) ).
cnf(refute_0_140,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(double_divide(identity,identity),inverse(identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_141,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_141]) ).
cnf(refute_0_143,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(inverse(identity),inverse(identity))
| double_divide(double_divide(identity,identity),inverse(identity)) != identity
| double_divide(inverse(identity),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) ),[0],$fot(double_divide(inverse(identity),inverse(identity)))]]) ).
cnf(refute_0_144,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != identity
| double_divide(inverse(identity),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(inverse(identity),inverse(identity))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) )],[refute_0_138,refute_0_144]) ).
cnf(refute_0_146,plain,
( multiply(inverse(identity),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(identity)))
| double_divide(inverse(identity),inverse(identity)) != identity
| multiply(inverse(identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(double_divide(inverse(identity),inverse(identity)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_147,plain,
( multiply(inverse(identity),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(identity)))
| multiply(inverse(identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(inverse(identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(double_divide(inverse(identity),inverse(identity)))) )],[refute_0_117,refute_0_147]) ).
cnf(refute_0_149,plain,
( multiply(inverse(identity),inverse(identity)) != inverse(identity)
| identity != double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))
| identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_150,plain,
( identity != double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))
| identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))) )],[refute_0_116,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) = inverse(inverse(X_15)),
inference(subst,[],[refute_0_99:[bind(X_11,$fot(inverse(inverse(X_15)))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_153,plain,
double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) = X_15,
inference(subst,[],[refute_0_114:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_154,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) != inverse(inverse(X_15))
| double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) != X_15
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)),inverse(inverse(X_15))) ),[0,0,1],$fot(X_15)]]) ).
cnf(refute_0_155,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) != inverse(inverse(X_15))
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)),X_15) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)),inverse(inverse(X_15))) )],[refute_0_152,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(inverse(inverse(identity))),
inference(subst,[],[refute_0_156:[bind(X_15,$fot(inverse(identity)))]]) ).
cnf(refute_0_158,plain,
( double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != inverse(inverse(inverse(identity)))
| identity != double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))
| identity = inverse(inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))) ),[1],$fot(inverse(inverse(inverse(identity))))]]) ).
cnf(refute_0_159,plain,
( identity != double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))
| identity = inverse(inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(inverse(inverse(identity)))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
identity = inverse(inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))) )],[refute_0_151,refute_0_159]) ).
cnf(refute_0_161,plain,
( identity != inverse(inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(inverse(inverse(identity)))))]]) ).
cnf(refute_0_162,plain,
inverse(inverse(inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(inverse(inverse(identity)))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( double_divide(inverse(inverse(inverse(inverse(identity)))),inverse(identity)) != inverse(identity)
| inverse(inverse(inverse(identity))) != identity
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(inverse(identity)))),inverse(identity)),inverse(identity)) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_164,plain,
( double_divide(inverse(inverse(inverse(inverse(identity)))),inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(inverse(identity)))),inverse(identity)),inverse(identity)) )],[refute_0_115,refute_0_164]) ).
cnf(refute_0_166,plain,
( double_divide(inverse(identity),inverse(identity)) != identity
| double_divide(inverse(identity),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),[0],$fot(identity)]]) ).
cnf(refute_0_167,plain,
( double_divide(inverse(identity),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_145,refute_0_166]) ).
cnf(refute_0_168,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_165,refute_0_167]) ).
cnf(refute_0_169,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_170,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))]]) ).
cnf(refute_0_172,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_173,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity)
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity))),bind(Z,$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_176,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_77,refute_0_176]) ).
cnf(refute_0_178,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_179,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != X_11
| multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),X_11) )],[refute_0_70,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11,
inference(subst,[],[refute_0_180:[bind(X_2,$fot(double_divide(inverse(X_27),multiply(X_28,X_29)))),bind(X_3,$fot(multiply(X_28,X_29)))]]) ).
cnf(refute_0_182,plain,
multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) = X_27,
inference(subst,[],[refute_0_180:[bind(X_11,$fot(X_27)),bind(X_2,$fot(X_28)),bind(X_3,$fot(X_29))]]) ).
cnf(refute_0_183,plain,
( multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
| multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) != X_27
| multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) ),[0,0,1],$fot(X_27)]]) ).
cnf(refute_0_184,plain,
( multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
| multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)),X_27) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = X_11,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))))]]) ).
cnf(refute_0_187,plain,
( multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)))
| multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) != X_27
| multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)))) ),[1,1],$fot(X_27)]]) ).
cnf(refute_0_188,plain,
( multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)) != X_27
| multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),X_27) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) = multiply(double_divide(inverse(X_11),X_27),X_27),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29)),X_27) )],[refute_0_182,refute_0_188]) ).
cnf(refute_0_190,plain,
( multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
| multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != multiply(double_divide(inverse(X_11),X_27),X_27)
| multiply(double_divide(inverse(X_11),X_27),X_27) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),X_27),X_27))]]) ).
cnf(refute_0_191,plain,
( multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))) != X_11
| multiply(double_divide(inverse(X_11),X_27),X_27) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),multiply(double_divide(inverse(X_11),X_27),X_27)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(double_divide(inverse(X_11),X_27),X_27) = X_11,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_27),multiply(double_divide(inverse(X_27),multiply(X_28,X_29)),multiply(X_28,X_29))),X_11) )],[refute_0_185,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_192:[bind(X_11,$fot(inverse(inverse(inverse(X_13))))),bind(X_27,$fot(X_31))]]) ).
cnf(refute_0_194,plain,
double_divide(inverse(inverse(inverse(X_13))),identity) = inverse(inverse(inverse(inverse(X_13)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_195,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))]]) ).
cnf(refute_0_196,plain,
( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_197,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_197]) ).
cnf(refute_0_199,plain,
( double_divide(inverse(inverse(inverse(X_13))),identity) != inverse(inverse(inverse(inverse(X_13))))
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),identity)
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(inverse(X_13))),identity))),bind(Z,$fot(inverse(inverse(inverse(inverse(X_13))))))]]) ).
cnf(refute_0_200,plain,
( double_divide(inverse(inverse(inverse(X_13))),identity) != inverse(inverse(inverse(inverse(X_13))))
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),identity)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),identity),inverse(inverse(inverse(inverse(X_13))))) )],[refute_0_194,refute_0_200]) ).
cnf(refute_0_202,plain,
( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != X_13
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != inverse(inverse(inverse(inverse(X_13))))
| inverse(inverse(inverse(inverse(X_13)))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_203,plain,
( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != X_13
| inverse(inverse(inverse(inverse(X_13)))) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(inverse(inverse(inverse(X_13))))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(inverse(inverse(inverse(X_13)))) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),X_13) )],[refute_0_114,refute_0_203]) ).
cnf(refute_0_205,plain,
( multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(inverse(X_13)))) != X_13
| multiply(double_divide(X_13,X_31),X_31) = inverse(inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31),inverse(inverse(inverse(X_13)))) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_206,plain,
( multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31) != inverse(inverse(inverse(X_13)))
| multiply(double_divide(X_13,X_31),X_31) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(double_divide(X_13,X_31),X_31) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_31),X_31),inverse(inverse(inverse(X_13)))) )],[refute_0_193,refute_0_206]) ).
cnf(refute_0_208,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_30:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_209,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_210,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_72,refute_0_209]) ).
cnf(refute_0_211,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)),X_11) )],[refute_0_208,refute_0_210]) ).
cnf(refute_0_212,plain,
inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(subst,[],[refute_0_72:[bind(A,$fot(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_213,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))))]]) ).
cnf(refute_0_214,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))))
| inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_215,plain,
( inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_218,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_219,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_219]) ).
cnf(refute_0_221,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_222,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_216,refute_0_222]) ).
cnf(refute_0_224,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10))]]) ).
cnf(refute_0_225,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != X_11
| multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),X_11) )],[refute_0_211,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),
inference(subst,[],[refute_0_226:[bind(A,$fot(X_58)),bind(B,$fot(X_59)),bind(X_10,$fot(X_60)),bind(X_11,$fot(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))))]]) ).
cnf(refute_0_228,plain,
identity = double_divide(inverse(inverse(inverse(X_20))),inverse(inverse(inverse(inverse(X_20))))),
inference(subst,[],[identity:[bind(A,$fot(inverse(inverse(inverse(X_20)))))]]) ).
cnf(refute_0_229,plain,
inverse(inverse(inverse(inverse(X_20)))) = X_20,
inference(subst,[],[refute_0_204:[bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_230,plain,
( identity != double_divide(inverse(inverse(inverse(X_20))),inverse(inverse(inverse(inverse(X_20)))))
| inverse(inverse(inverse(inverse(X_20)))) != X_20
| identity = double_divide(inverse(inverse(inverse(X_20))),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(X_20))),inverse(inverse(inverse(inverse(X_20)))))) ),[1,1],$fot(X_20)]]) ).
cnf(refute_0_231,plain,
( identity != double_divide(inverse(inverse(inverse(X_20))),inverse(inverse(inverse(inverse(X_20)))))
| identity = double_divide(inverse(inverse(inverse(X_20))),X_20) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_20)))),X_20) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
identity = double_divide(inverse(inverse(inverse(X_20))),X_20),
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(X_20))),inverse(inverse(inverse(inverse(X_20)))))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
identity = double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),
inference(subst,[],[refute_0_232:[bind(X_20,$fot(double_divide(double_divide(X_59,X_58),X_60)))]]) ).
cnf(refute_0_234,plain,
( identity != double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60))
| double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60))))]]) ).
cnf(refute_0_235,plain,
double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)) != identity
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_237,plain,
( multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),identity) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_227,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)) = double_divide(B,A),
inference(subst,[],[refute_0_114:[bind(X_13,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_240,plain,
( double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)),double_divide(B,A)) ),[0,0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_241,plain,
( double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)) != double_divide(B,A)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_72,refute_0_240]) ).
cnf(refute_0_242,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)),double_divide(B,A)) )],[refute_0_239,refute_0_241]) ).
cnf(refute_0_243,plain,
double_divide(inverse(inverse(multiply(A,B))),identity) = inverse(inverse(inverse(multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(multiply(A,B)))))]]) ).
cnf(refute_0_244,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_245,plain,
( double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(inverse(inverse(multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(inverse(inverse(multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_246,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(inverse(inverse(multiply(A,B))),inverse(identity))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_246]) ).
cnf(refute_0_248,plain,
( double_divide(inverse(inverse(multiply(A,B))),identity) != inverse(inverse(inverse(multiply(A,B))))
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(inverse(inverse(multiply(A,B))),identity)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = inverse(inverse(inverse(multiply(A,B)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(multiply(A,B))),identity))),bind(Z,$fot(inverse(inverse(inverse(multiply(A,B))))))]]) ).
cnf(refute_0_249,plain,
( double_divide(inverse(inverse(multiply(A,B))),identity) != inverse(inverse(inverse(multiply(A,B))))
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = inverse(inverse(inverse(multiply(A,B)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(inverse(inverse(multiply(A,B))),identity)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = inverse(inverse(inverse(multiply(A,B)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),identity),inverse(inverse(inverse(multiply(A,B))))) )],[refute_0_243,refute_0_249]) ).
cnf(refute_0_251,plain,
( double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(B,A)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != inverse(inverse(inverse(multiply(A,B))))
| inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(B,A)) ),[0],$fot(inverse(inverse(inverse(multiply(A,B)))))]]) ).
cnf(refute_0_252,plain,
( double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(B,A)
| inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),inverse(inverse(inverse(multiply(A,B))))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(B,A)) )],[refute_0_242,refute_0_252]) ).
cnf(refute_0_254,plain,
inverse(inverse(inverse(multiply(X_33,identity)))) = double_divide(identity,X_33),
inference(subst,[],[refute_0_253:[bind(A,$fot(X_33)),bind(B,$fot(identity))]]) ).
cnf(refute_0_255,plain,
inverse(double_divide(identity,X_15)) = multiply(X_15,identity),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_15)),bind(B,$fot(identity))]]) ).
cnf(refute_0_256,plain,
double_divide(double_divide(identity,X_15),identity) = inverse(double_divide(identity,X_15)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_15)))]]) ).
cnf(refute_0_257,plain,
( double_divide(double_divide(identity,X_15),identity) != inverse(double_divide(identity,X_15))
| inverse(double_divide(identity,X_15)) != multiply(X_15,identity)
| double_divide(double_divide(identity,X_15),identity) = multiply(X_15,identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(identity,X_15),identity))),bind(Y,$fot(inverse(double_divide(identity,X_15)))),bind(Z,$fot(multiply(X_15,identity)))]]) ).
cnf(refute_0_258,plain,
( inverse(double_divide(identity,X_15)) != multiply(X_15,identity)
| double_divide(double_divide(identity,X_15),identity) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),identity),inverse(double_divide(identity,X_15))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
double_divide(double_divide(identity,X_15),identity) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_15)),multiply(X_15,identity)) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_15),inverse(identity)))]]) ).
cnf(refute_0_261,plain,
( double_divide(double_divide(identity,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_262,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(identity))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
double_divide(double_divide(identity,X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_262]) ).
cnf(refute_0_264,plain,
double_divide(inverse(identity),X_15) = double_divide(inverse(identity),X_15),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),X_15))]]) ).
cnf(refute_0_265,plain,
( double_divide(inverse(identity),X_15) != double_divide(inverse(identity),X_15)
| inverse(identity) != identity
| double_divide(inverse(identity),X_15) = double_divide(identity,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),X_15),double_divide(inverse(identity),X_15)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_266,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),X_15) = double_divide(identity,X_15) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_15),double_divide(inverse(identity),X_15)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
double_divide(inverse(identity),X_15) = double_divide(identity,X_15),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_266]) ).
cnf(refute_0_268,plain,
double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(inverse(identity),X_15),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),X_15),inverse(identity)))]]) ).
cnf(refute_0_269,plain,
( double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != double_divide(double_divide(inverse(identity),X_15),inverse(identity))
| double_divide(inverse(identity),X_15) != double_divide(identity,X_15)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(inverse(identity),X_15),inverse(identity))) ),[1,0],$fot(double_divide(identity,X_15))]]) ).
cnf(refute_0_270,plain,
( double_divide(inverse(identity),X_15) != double_divide(identity,X_15)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(inverse(identity),X_15),inverse(identity))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_15),double_divide(identity,X_15)) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( double_divide(double_divide(identity,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),identity)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),inverse(identity))
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),X_15),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,X_15),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,X_15),identity)))]]) ).
cnf(refute_0_273,plain,
( double_divide(double_divide(identity,X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),identity)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(identity,X_15),inverse(identity))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = double_divide(double_divide(identity,X_15),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),inverse(identity)),double_divide(double_divide(identity,X_15),identity)) )],[refute_0_263,refute_0_273]) ).
cnf(refute_0_275,plain,
( double_divide(double_divide(identity,X_15),identity) != multiply(X_15,identity)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != double_divide(double_divide(identity,X_15),identity)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = multiply(X_15,identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),X_15),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,X_15),identity))),bind(Z,$fot(multiply(X_15,identity)))]]) ).
cnf(refute_0_276,plain,
( double_divide(double_divide(identity,X_15),identity) != multiply(X_15,identity)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),double_divide(double_divide(identity,X_15),identity)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_15),identity),multiply(X_15,identity)) )],[refute_0_259,refute_0_276]) ).
cnf(refute_0_278,plain,
( double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != multiply(X_15,identity)
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != inverse(inverse(X_15))
| multiply(X_15,identity) = inverse(inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),inverse(inverse(X_15))) ),[0],$fot(multiply(X_15,identity))]]) ).
cnf(refute_0_279,plain,
( double_divide(double_divide(inverse(identity),X_15),inverse(identity)) != inverse(inverse(X_15))
| multiply(X_15,identity) = inverse(inverse(X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),multiply(X_15,identity)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(X_15,identity) = inverse(inverse(X_15)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),X_15),inverse(identity)),inverse(inverse(X_15))) )],[refute_0_156,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(X_33,identity) = inverse(inverse(X_33)),
inference(subst,[],[refute_0_280:[bind(X_15,$fot(X_33))]]) ).
cnf(refute_0_282,plain,
( multiply(X_33,identity) != inverse(inverse(X_33))
| inverse(inverse(inverse(multiply(X_33,identity)))) != double_divide(identity,X_33)
| inverse(inverse(inverse(inverse(inverse(X_33))))) = double_divide(identity,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(X_33,identity)))),double_divide(identity,X_33)) ),[0,0,0,0],$fot(inverse(inverse(X_33)))]]) ).
cnf(refute_0_283,plain,
( inverse(inverse(inverse(multiply(X_33,identity)))) != double_divide(identity,X_33)
| inverse(inverse(inverse(inverse(inverse(X_33))))) = double_divide(identity,X_33) ),
inference(resolve,[$cnf( $equal(multiply(X_33,identity),inverse(inverse(X_33))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
inverse(inverse(inverse(inverse(inverse(X_33))))) = double_divide(identity,X_33),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_33,identity)))),double_divide(identity,X_33)) )],[refute_0_254,refute_0_283]) ).
cnf(refute_0_285,plain,
inverse(inverse(inverse(inverse(inverse(X_33))))) = inverse(X_33),
inference(subst,[],[refute_0_204:[bind(X_13,$fot(inverse(X_33)))]]) ).
cnf(refute_0_286,plain,
( inverse(inverse(inverse(inverse(inverse(X_33))))) != double_divide(identity,X_33)
| inverse(inverse(inverse(inverse(inverse(X_33))))) != inverse(X_33)
| inverse(X_33) = double_divide(identity,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_33))))),double_divide(identity,X_33)) ),[0],$fot(inverse(X_33))]]) ).
cnf(refute_0_287,plain,
( inverse(inverse(inverse(inverse(inverse(X_33))))) != double_divide(identity,X_33)
| inverse(X_33) = double_divide(identity,X_33) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_33))))),inverse(X_33)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
inverse(X_33) = double_divide(identity,X_33),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_33))))),double_divide(identity,X_33)) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
( inverse(X_33) != double_divide(identity,X_33)
| double_divide(identity,X_33) = inverse(X_33) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_33))),bind(Y,$fot(double_divide(identity,X_33)))]]) ).
cnf(refute_0_290,plain,
double_divide(identity,X_33) = inverse(X_33),
inference(resolve,[$cnf( $equal(inverse(X_33),double_divide(identity,X_33)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
double_divide(identity,multiply(X_58,X_59)) = inverse(multiply(X_58,X_59)),
inference(subst,[],[refute_0_290:[bind(X_33,$fot(multiply(X_58,X_59)))]]) ).
cnf(refute_0_292,plain,
multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(double_divide(identity,multiply(X_58,X_59)),X_60),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,multiply(X_58,X_59)),X_60))]]) ).
cnf(refute_0_293,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != multiply(double_divide(identity,multiply(X_58,X_59)),X_60)
| double_divide(identity,multiply(X_58,X_59)) != inverse(multiply(X_58,X_59))
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),multiply(double_divide(identity,multiply(X_58,X_59)),X_60)) ),[1,0],$fot(inverse(multiply(X_58,X_59)))]]) ).
cnf(refute_0_294,plain,
( double_divide(identity,multiply(X_58,X_59)) != inverse(multiply(X_58,X_59))
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),multiply(double_divide(identity,multiply(X_58,X_59)),X_60)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_58,X_59)),inverse(multiply(X_58,X_59))) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != multiply(inverse(multiply(X_58,X_59)),X_60)
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) ),[0],$fot(multiply(inverse(multiply(X_58,X_59)),X_60))]]) ).
cnf(refute_0_297,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),multiply(inverse(multiply(X_58,X_59)),X_60)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
inverse(double_divide(double_divide(X_59,X_58),X_60)) = multiply(X_60,double_divide(X_59,X_58)),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_60)),bind(B,$fot(double_divide(X_59,X_58)))]]) ).
cnf(refute_0_299,plain,
inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))]]) ).
cnf(refute_0_300,plain,
( inverse(double_divide(double_divide(X_59,X_58),X_60)) != multiply(X_60,double_divide(X_59,X_58))
| inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) != inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))
| inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(multiply(X_60,double_divide(X_59,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),[1,0],$fot(multiply(X_60,double_divide(X_59,X_58)))]]) ).
cnf(refute_0_301,plain,
( inverse(double_divide(double_divide(X_59,X_58),X_60)) != multiply(X_60,double_divide(X_59,X_58))
| inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(multiply(X_60,double_divide(X_59,X_58))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(multiply(X_60,double_divide(X_59,X_58))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_59,X_58),X_60)),multiply(X_60,double_divide(X_59,X_58))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),
introduced(tautology,[refl,[$fot(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))))]]) ).
cnf(refute_0_304,plain,
( inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) != inverse(multiply(X_60,double_divide(X_59,X_58)))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) ),[1,0],$fot(inverse(multiply(X_60,double_divide(X_59,X_58))))]]) ).
cnf(refute_0_305,plain,
( inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) != inverse(multiply(X_60,double_divide(X_59,X_58)))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),inverse(multiply(X_60,double_divide(X_59,X_58)))) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) ),[0],$fot(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))))]]) ).
cnf(refute_0_308,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_297,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_238,refute_0_309]) ).
cnf(refute_0_311,plain,
inverse(inverse(inverse(multiply(double_divide(X_42,B),B)))) = double_divide(B,double_divide(X_42,B)),
inference(subst,[],[refute_0_253:[bind(A,$fot(double_divide(X_42,B)))]]) ).
cnf(refute_0_312,plain,
multiply(double_divide(X_42,B),B) = inverse(inverse(inverse(X_42))),
inference(subst,[],[refute_0_207:[bind(X_13,$fot(X_42)),bind(X_31,$fot(B))]]) ).
cnf(refute_0_313,plain,
( multiply(double_divide(X_42,B),B) != inverse(inverse(inverse(X_42)))
| inverse(inverse(inverse(multiply(double_divide(X_42,B),B)))) != double_divide(B,double_divide(X_42,B))
| inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = double_divide(B,double_divide(X_42,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(double_divide(X_42,B),B)))),double_divide(B,double_divide(X_42,B))) ),[0,0,0,0],$fot(inverse(inverse(inverse(X_42))))]]) ).
cnf(refute_0_314,plain,
( inverse(inverse(inverse(multiply(double_divide(X_42,B),B)))) != double_divide(B,double_divide(X_42,B))
| inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = double_divide(B,double_divide(X_42,B)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_42,B),B),inverse(inverse(inverse(X_42)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = double_divide(B,double_divide(X_42,B)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(double_divide(X_42,B),B)))),double_divide(B,double_divide(X_42,B))) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) = inverse(inverse(X_42)),
inference(subst,[],[refute_0_204:[bind(X_13,$fot(inverse(inverse(X_42))))]]) ).
cnf(refute_0_317,plain,
( inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) != double_divide(B,double_divide(X_42,B))
| inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) != inverse(inverse(X_42))
| inverse(inverse(X_42)) = double_divide(B,double_divide(X_42,B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))),double_divide(B,double_divide(X_42,B))) ),[0],$fot(inverse(inverse(X_42)))]]) ).
cnf(refute_0_318,plain,
( inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))) != double_divide(B,double_divide(X_42,B))
| inverse(inverse(X_42)) = double_divide(B,double_divide(X_42,B)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))),inverse(inverse(X_42))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
inverse(inverse(X_42)) = double_divide(B,double_divide(X_42,B)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(inverse(X_42)))))),double_divide(B,double_divide(X_42,B))) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))),
inference(subst,[],[refute_0_319:[bind(B,$fot(inverse(inverse(X_47)))),bind(X_42,$fot(double_divide(X_47,X_46)))]]) ).
cnf(refute_0_321,plain,
inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42))),
inference(subst,[],[refute_0_319:[bind(B,$fot(double_divide(X_45,X_42)))]]) ).
cnf(refute_0_322,plain,
inverse(inverse(X_45)) = double_divide(X_42,double_divide(X_45,X_42)),
inference(subst,[],[refute_0_319:[bind(B,$fot(X_42)),bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_323,plain,
( inverse(inverse(X_45)) != double_divide(X_42,double_divide(X_45,X_42))
| double_divide(X_42,double_divide(X_45,X_42)) = inverse(inverse(X_45)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(X_45)))),bind(Y,$fot(double_divide(X_42,double_divide(X_45,X_42))))]]) ).
cnf(refute_0_324,plain,
double_divide(X_42,double_divide(X_45,X_42)) = inverse(inverse(X_45)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),double_divide(X_42,double_divide(X_45,X_42))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
( double_divide(X_42,double_divide(X_45,X_42)) != inverse(inverse(X_45))
| inverse(inverse(X_42)) != double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))
| inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),inverse(inverse(X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_42)),double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))) ),[1,1],$fot(inverse(inverse(X_45)))]]) ).
cnf(refute_0_326,plain,
( inverse(inverse(X_42)) != double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))
| inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),inverse(inverse(X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(X_42,double_divide(X_45,X_42)),inverse(inverse(X_45))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(inverse(X_42)) = double_divide(double_divide(X_45,X_42),inverse(inverse(X_45))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_42)),double_divide(double_divide(X_45,X_42),double_divide(X_42,double_divide(X_45,X_42)))) )],[refute_0_321,refute_0_326]) ).
cnf(refute_0_328,plain,
inverse(inverse(X_46)) = double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),
inference(subst,[],[refute_0_327:[bind(X_42,$fot(X_46)),bind(X_45,$fot(X_47))]]) ).
cnf(refute_0_329,plain,
( inverse(inverse(X_46)) != double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))
| double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))) = inverse(inverse(X_46)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(X_46)))),bind(Y,$fot(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))))]]) ).
cnf(refute_0_330,plain,
double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))) = inverse(inverse(X_46)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
( double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))) != inverse(inverse(X_46))
| inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))
| inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))) ),[1,1],$fot(inverse(inverse(X_46)))]]) ).
cnf(refute_0_332,plain,
( inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))
| inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(X_46))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
inverse(inverse(double_divide(X_47,X_46))) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))))) )],[refute_0_320,refute_0_332]) ).
cnf(refute_0_334,plain,
inverse(double_divide(X_47,X_46)) = multiply(X_46,X_47),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_46)),bind(B,$fot(X_47))]]) ).
cnf(refute_0_335,plain,
inverse(inverse(double_divide(X_47,X_46))) = inverse(inverse(double_divide(X_47,X_46))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(X_47,X_46))))]]) ).
cnf(refute_0_336,plain,
( inverse(double_divide(X_47,X_46)) != multiply(X_46,X_47)
| inverse(inverse(double_divide(X_47,X_46))) != inverse(inverse(double_divide(X_47,X_46)))
| inverse(inverse(double_divide(X_47,X_46))) = inverse(multiply(X_46,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),inverse(inverse(double_divide(X_47,X_46)))) ),[1,0],$fot(multiply(X_46,X_47))]]) ).
cnf(refute_0_337,plain,
( inverse(double_divide(X_47,X_46)) != multiply(X_46,X_47)
| inverse(inverse(double_divide(X_47,X_46))) = inverse(multiply(X_46,X_47)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),inverse(inverse(double_divide(X_47,X_46)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
inverse(inverse(double_divide(X_47,X_46))) = inverse(multiply(X_46,X_47)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_47,X_46)),multiply(X_46,X_47)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
| inverse(inverse(double_divide(X_47,X_46))) != inverse(multiply(X_46,X_47))
| inverse(multiply(X_46,X_47)) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) ),[0],$fot(inverse(multiply(X_46,X_47)))]]) ).
cnf(refute_0_340,plain,
( inverse(inverse(double_divide(X_47,X_46))) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
| inverse(multiply(X_46,X_47)) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),inverse(multiply(X_46,X_47))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
inverse(multiply(X_46,X_47)) = double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) )],[refute_0_333,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60) = X_61,
inference(subst,[],[refute_0_226:[bind(A,$fot(multiply(A,B))),bind(B,$fot(double_divide(B,A))),bind(X_10,$fot(X_60)),bind(X_11,$fot(X_61))]]) ).
cnf(refute_0_343,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_36:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).
cnf(refute_0_344,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_345,plain,
( identity != double_divide(X_3,inverse(X_3))
| double_divide(X_3,inverse(X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_3,inverse(X_3))))]]) ).
cnf(refute_0_346,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_348,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| multiply(inverse(X_3),X_3) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_343,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(inverse(double_divide(B,A)),double_divide(B,A)) = inverse(identity),
inference(subst,[],[refute_0_349:[bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_351,plain,
( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_352,plain,
( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
| multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_72,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) )],[refute_0_350,refute_0_352]) ).
cnf(refute_0_354,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| inverse(identity) != identity
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),double_divide(B,A)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_355,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(multiply(A,B),double_divide(B,A)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),inverse(identity)) )],[refute_0_353,refute_0_355]) ).
cnf(refute_0_357,plain,
( multiply(multiply(A,B),double_divide(B,A)) != identity
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60),X_61) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_358,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),identity) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = X_61,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60),X_61) )],[refute_0_342,refute_0_358]) ).
cnf(refute_0_360,plain,
double_divide(identity,X_60) = inverse(X_60),
inference(subst,[],[refute_0_290:[bind(X_33,$fot(X_60))]]) ).
cnf(refute_0_361,plain,
double_divide(double_divide(B,A),multiply(A,B)) = identity,
inference(subst,[],[refute_0_44:[bind(X_2,$fot(A)),bind(X_3,$fot(B))]]) ).
cnf(refute_0_362,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))]]) ).
cnf(refute_0_363,plain,
( double_divide(double_divide(B,A),multiply(A,B)) != identity
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(identity,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_364,plain,
( double_divide(double_divide(B,A),multiply(A,B)) != identity
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(identity,X_60) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(identity,X_60),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),multiply(A,B)),identity) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != double_divide(identity,X_60)
| double_divide(identity,X_60) != inverse(X_60)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = inverse(X_60) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),bind(Y,$fot(double_divide(identity,X_60))),bind(Z,$fot(inverse(X_60)))]]) ).
cnf(refute_0_367,plain,
( double_divide(identity,X_60) != inverse(X_60)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = inverse(X_60) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),double_divide(identity,X_60)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = inverse(X_60),
inference(resolve,[$cnf( $equal(double_divide(identity,X_60),inverse(X_60)) )],[refute_0_360,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61))]]) ).
cnf(refute_0_370,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != inverse(X_60)
| multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(inverse(X_60),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) ),[1,0],$fot(inverse(X_60))]]) ).
cnf(refute_0_371,plain,
( double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != inverse(X_60)
| multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(inverse(X_60),X_61) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(inverse(X_60),X_61),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),inverse(X_60)) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),
inference(subst,[],[refute_0_72:[bind(A,$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),bind(B,$fot(X_61))]]) ).
cnf(refute_0_374,plain,
double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))))]]) ).
cnf(refute_0_375,plain,
( double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)))
| inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity))),bind(Y,$fot(inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))))),bind(Z,$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)))]]) ).
cnf(refute_0_376,plain,
( inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) )],[refute_0_373,refute_0_376]) ).
cnf(refute_0_378,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) != multiply(inverse(X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(inverse(X_60),X_61) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity))),bind(Y,$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61))),bind(Z,$fot(multiply(inverse(X_60),X_61)))]]) ).
cnf(refute_0_379,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) != multiply(inverse(X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(inverse(X_60),X_61) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(inverse(X_60),X_61),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),multiply(inverse(X_60),X_61)) )],[refute_0_372,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60))]]) ).
cnf(refute_0_382,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != multiply(inverse(X_60),X_61)
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(multiply(inverse(X_60),X_61),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60)) ),[1,0],$fot(multiply(inverse(X_60),X_61))]]) ).
cnf(refute_0_383,plain,
( double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != multiply(inverse(X_60),X_61)
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(multiply(inverse(X_60),X_61),X_60) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(multiply(inverse(X_60),X_61),X_60),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),multiply(inverse(X_60),X_61)) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != multiply(multiply(inverse(X_60),X_61),X_60)
| multiply(multiply(inverse(X_60),X_61),X_60) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),X_61) ),[0],$fot(multiply(multiply(inverse(X_60),X_61),X_60))]]) ).
cnf(refute_0_386,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != X_61
| multiply(multiply(inverse(X_60),X_61),X_60) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),multiply(multiply(inverse(X_60),X_61),X_60)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(multiply(inverse(X_60),X_61),X_60) = X_61,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),X_61) )],[refute_0_359,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62) = inverse(inverse(inverse(inverse(X_62)))),
inference(subst,[],[refute_0_387:[bind(X_60,$fot(X_62)),bind(X_61,$fot(inverse(inverse(inverse(inverse(X_62))))))]]) ).
cnf(refute_0_389,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_390,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_170,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_349,refute_0_390]) ).
cnf(refute_0_392,plain,
multiply(inverse(inverse(inverse(inverse(X_20)))),inverse(inverse(inverse(X_20)))) = identity,
inference(subst,[],[refute_0_391:[bind(X_3,$fot(inverse(inverse(inverse(X_20)))))]]) ).
cnf(refute_0_393,plain,
( multiply(inverse(inverse(inverse(inverse(X_20)))),inverse(inverse(inverse(X_20)))) != identity
| inverse(inverse(inverse(inverse(X_20)))) != X_20
| multiply(X_20,inverse(inverse(inverse(X_20)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_20)))),inverse(inverse(inverse(X_20)))),identity) ),[0,0],$fot(X_20)]]) ).
cnf(refute_0_394,plain,
( multiply(inverse(inverse(inverse(inverse(X_20)))),inverse(inverse(inverse(X_20)))) != identity
| multiply(X_20,inverse(inverse(inverse(X_20)))) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_20)))),X_20) )],[refute_0_229,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(X_20,inverse(inverse(inverse(X_20)))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_20)))),inverse(inverse(inverse(X_20)))),identity) )],[refute_0_392,refute_0_394]) ).
cnf(refute_0_396,plain,
multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))) = identity,
inference(subst,[],[refute_0_395:[bind(X_20,$fot(inverse(X_62)))]]) ).
cnf(refute_0_397,plain,
( multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62) != inverse(inverse(inverse(inverse(X_62))))
| multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))) != identity
| multiply(identity,X_62) = inverse(inverse(inverse(inverse(X_62)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62),inverse(inverse(inverse(inverse(X_62))))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_398,plain,
( multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62) != inverse(inverse(inverse(inverse(X_62))))
| multiply(identity,X_62) = inverse(inverse(inverse(inverse(X_62)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),identity) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(identity,X_62) = inverse(inverse(inverse(inverse(X_62)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62),inverse(inverse(inverse(inverse(X_62))))) )],[refute_0_388,refute_0_398]) ).
cnf(refute_0_400,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_36:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_401,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_402,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_403,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_405,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_400,refute_0_405]) ).
cnf(refute_0_407,plain,
multiply(identity,X_62) = inverse(inverse(X_62)),
inference(subst,[],[refute_0_406:[bind(X_3,$fot(X_62))]]) ).
cnf(refute_0_408,plain,
( multiply(identity,X_62) != inverse(inverse(X_62))
| multiply(identity,X_62) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = inverse(inverse(inverse(inverse(X_62)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_62),inverse(inverse(inverse(inverse(X_62))))) ),[0],$fot(inverse(inverse(X_62)))]]) ).
cnf(refute_0_409,plain,
( multiply(identity,X_62) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = inverse(inverse(inverse(inverse(X_62)))) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_62),inverse(inverse(X_62))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
inverse(inverse(inverse(inverse(X_62)))) = X_62,
inference(subst,[],[refute_0_204:[bind(X_13,$fot(X_62))]]) ).
cnf(refute_0_411,plain,
( inverse(inverse(X_62)) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(inverse(inverse(X_62)))) != X_62
| inverse(inverse(X_62)) = X_62 ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(inverse(X_62)),X_62) ),[0],$fot(inverse(inverse(inverse(inverse(X_62)))))]]) ).
cnf(refute_0_412,plain,
( inverse(inverse(X_62)) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = X_62 ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_62)))),X_62) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
( multiply(identity,X_62) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = X_62 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_62)),inverse(inverse(inverse(inverse(X_62))))) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
inverse(inverse(X_62)) = X_62,
inference(resolve,[$cnf( $equal(multiply(identity,X_62),inverse(inverse(inverse(inverse(X_62))))) )],[refute_0_399,refute_0_413]) ).
cnf(refute_0_415,plain,
inverse(inverse(X_46)) = X_46,
inference(subst,[],[refute_0_414:[bind(X_62,$fot(X_46))]]) ).
cnf(refute_0_416,plain,
double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))),
introduced(tautology,[refl,[$fot(double_divide(X_47,inverse(inverse(X_46))))]]) ).
cnf(refute_0_417,plain,
( double_divide(X_47,inverse(inverse(X_46))) != double_divide(X_47,inverse(inverse(X_46)))
| inverse(inverse(X_46)) != X_46
| double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_47,inverse(inverse(X_46))),double_divide(X_47,inverse(inverse(X_46)))) ),[1,1],$fot(X_46)]]) ).
cnf(refute_0_418,plain,
( inverse(inverse(X_46)) != X_46
| double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
inference(resolve,[$cnf( $equal(double_divide(X_47,inverse(inverse(X_46))),double_divide(X_47,inverse(inverse(X_46)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
double_divide(X_47,inverse(inverse(X_46))) = double_divide(X_47,X_46),
inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),X_46) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)) = double_divide(X_45,X_13),
inference(subst,[],[refute_0_387:[bind(X_60,$fot(inverse(X_45))),bind(X_61,$fot(double_divide(X_45,X_13)))]]) ).
cnf(refute_0_421,plain,
multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_207:[bind(X_31,$fot(double_divide(X_45,X_13)))]]) ).
cnf(refute_0_422,plain,
inverse(inverse(X_45)) = double_divide(X_13,double_divide(X_45,X_13)),
inference(subst,[],[refute_0_319:[bind(B,$fot(X_13)),bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_423,plain,
( inverse(inverse(X_45)) != double_divide(X_13,double_divide(X_45,X_13))
| double_divide(X_13,double_divide(X_45,X_13)) = inverse(inverse(X_45)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(X_45)))),bind(Y,$fot(double_divide(X_13,double_divide(X_45,X_13))))]]) ).
cnf(refute_0_424,plain,
double_divide(X_13,double_divide(X_45,X_13)) = inverse(inverse(X_45)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_45)),double_divide(X_13,double_divide(X_45,X_13))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)) != inverse(inverse(inverse(X_13)))
| double_divide(X_13,double_divide(X_45,X_13)) != inverse(inverse(X_45))
| multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)),inverse(inverse(inverse(X_13)))) ),[0,0],$fot(inverse(inverse(X_45)))]]) ).
cnf(refute_0_426,plain,
( multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)) != inverse(inverse(inverse(X_13)))
| multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(X_45,X_13)),inverse(inverse(X_45))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,double_divide(X_45,X_13)),double_divide(X_45,X_13)),inverse(inverse(inverse(X_13)))) )],[refute_0_421,refute_0_426]) ).
cnf(refute_0_428,plain,
( multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)) != double_divide(X_45,X_13)
| multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)) != inverse(inverse(inverse(X_13)))
| multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = double_divide(X_45,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)),double_divide(X_45,X_13)) ),[0,0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_429,plain,
( multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)) != double_divide(X_45,X_13)
| multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = double_divide(X_45,X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(inverse(inverse(X_13)))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = double_divide(X_45,X_13),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_45)),double_divide(X_45,X_13)),inverse(X_45)),double_divide(X_45,X_13)) )],[refute_0_420,refute_0_429]) ).
cnf(refute_0_431,plain,
inverse(inverse(inverse(X_45))) = inverse(X_45),
inference(subst,[],[refute_0_414:[bind(X_62,$fot(inverse(X_45)))]]) ).
cnf(refute_0_432,plain,
multiply(inverse(X_13),inverse(inverse(inverse(X_45)))) = multiply(inverse(X_13),inverse(inverse(inverse(X_45)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_13),inverse(inverse(inverse(X_45)))))]]) ).
cnf(refute_0_433,plain,
( multiply(inverse(X_13),inverse(inverse(inverse(X_45)))) != multiply(inverse(X_13),inverse(inverse(inverse(X_45))))
| inverse(inverse(inverse(X_45))) != inverse(X_45)
| multiply(inverse(X_13),inverse(inverse(inverse(X_45)))) = multiply(inverse(X_13),inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_13),inverse(inverse(inverse(X_45)))),multiply(inverse(X_13),inverse(inverse(inverse(X_45))))) ),[1,1],$fot(inverse(X_45))]]) ).
cnf(refute_0_434,plain,
( inverse(inverse(inverse(X_45))) != inverse(X_45)
| multiply(inverse(X_13),inverse(inverse(inverse(X_45)))) = multiply(inverse(X_13),inverse(X_45)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),inverse(inverse(inverse(X_45)))),multiply(inverse(X_13),inverse(inverse(inverse(X_45))))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
multiply(inverse(X_13),inverse(inverse(inverse(X_45)))) = multiply(inverse(X_13),inverse(X_45)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_45))),inverse(X_45)) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
multiply(multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)),X_62) = double_divide(inverse(inverse(inverse(X_62))),X_48),
inference(subst,[],[refute_0_387:[bind(X_60,$fot(X_62)),bind(X_61,$fot(double_divide(inverse(inverse(inverse(X_62))),X_48)))]]) ).
cnf(refute_0_437,plain,
multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))),
inference(subst,[],[refute_0_427:[bind(X_13,$fot(X_48)),bind(X_45,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_438,plain,
( multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)) != inverse(inverse(inverse(X_48)))
| inverse(inverse(inverse(inverse(X_13)))) != X_13
| multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)),inverse(inverse(inverse(X_48)))) ),[0,0],$fot(X_13)]]) ).
cnf(refute_0_439,plain,
( multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)) != inverse(inverse(inverse(X_48)))
| multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_204,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(X_13,double_divide(inverse(inverse(X_13)),X_48)) = inverse(inverse(inverse(X_48))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_13)))),double_divide(inverse(inverse(X_13)),X_48)),inverse(inverse(inverse(X_48)))) )],[refute_0_437,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)) = inverse(inverse(inverse(X_48))),
inference(subst,[],[refute_0_440:[bind(X_13,$fot(inverse(X_62)))]]) ).
cnf(refute_0_442,plain,
( multiply(multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)),X_62) != double_divide(inverse(inverse(inverse(X_62))),X_48)
| multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)) != inverse(inverse(inverse(X_48)))
| multiply(inverse(inverse(inverse(X_48))),X_62) = double_divide(inverse(inverse(inverse(X_62))),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)),X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)) ),[0,0],$fot(inverse(inverse(inverse(X_48))))]]) ).
cnf(refute_0_443,plain,
( multiply(multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)),X_62) != double_divide(inverse(inverse(inverse(X_62))),X_48)
| multiply(inverse(inverse(inverse(X_48))),X_62) = double_divide(inverse(inverse(inverse(X_62))),X_48) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)),inverse(inverse(inverse(X_48)))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
multiply(inverse(inverse(inverse(X_48))),X_62) = double_divide(inverse(inverse(inverse(X_62))),X_48),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)),X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)) )],[refute_0_436,refute_0_443]) ).
cnf(refute_0_445,plain,
inverse(inverse(inverse(inverse(X_50)))) = double_divide(inverse(multiply(X_50,X_51)),double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51)))),
inference(subst,[],[refute_0_319:[bind(B,$fot(inverse(multiply(X_50,X_51)))),bind(X_42,$fot(inverse(inverse(X_50))))]]) ).
cnf(refute_0_446,plain,
inverse(inverse(inverse(inverse(X_47)))) = double_divide(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(double_divide(X_47,X_46)))),
inference(subst,[],[refute_0_327:[bind(X_42,$fot(inverse(inverse(X_47)))),bind(X_45,$fot(double_divide(X_47,X_46)))]]) ).
cnf(refute_0_447,plain,
( double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))) != inverse(inverse(X_46))
| inverse(inverse(inverse(inverse(X_47)))) != double_divide(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(double_divide(X_47,X_46))))
| inverse(inverse(inverse(inverse(X_47)))) = double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(X_47)))),double_divide(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(double_divide(X_47,X_46))))) ),[1,0],$fot(inverse(inverse(X_46)))]]) ).
cnf(refute_0_448,plain,
( inverse(inverse(inverse(inverse(X_47)))) != double_divide(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(double_divide(X_47,X_46))))
| inverse(inverse(inverse(inverse(X_47)))) = double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(X_46))) )],[refute_0_330,refute_0_447]) ).
cnf(refute_0_449,plain,
inverse(inverse(inverse(inverse(X_47)))) = double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_47)))),double_divide(double_divide(double_divide(X_47,X_46),inverse(inverse(X_47))),inverse(inverse(double_divide(X_47,X_46))))) )],[refute_0_446,refute_0_448]) ).
cnf(refute_0_450,plain,
inverse(inverse(inverse(inverse(X_47)))) = X_47,
inference(subst,[],[refute_0_204:[bind(X_13,$fot(X_47))]]) ).
cnf(refute_0_451,plain,
( inverse(inverse(inverse(inverse(X_47)))) != X_47
| inverse(inverse(inverse(inverse(X_47)))) != double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))
| X_47 = double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(X_47)))),double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))) ),[0],$fot(X_47)]]) ).
cnf(refute_0_452,plain,
( inverse(inverse(inverse(inverse(X_47)))) != double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))
| X_47 = double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_47)))),X_47) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) = double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))))]]) ).
cnf(refute_0_454,plain,
( double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) != double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))
| inverse(inverse(double_divide(X_47,X_46))) != inverse(multiply(X_46,X_47))
| double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) = double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))),double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))) ),[1,1],$fot(inverse(multiply(X_46,X_47)))]]) ).
cnf(refute_0_455,plain,
( inverse(inverse(double_divide(X_47,X_46))) != inverse(multiply(X_46,X_47))
| double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) = double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))),double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) = double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(X_47,X_46))),inverse(multiply(X_46,X_47))) )],[refute_0_338,refute_0_455]) ).
cnf(refute_0_457,plain,
( X_47 != double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))
| double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))) != double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47)))
| X_47 = double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_47,double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47)))) ),[0],$fot(double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))))]]) ).
cnf(refute_0_458,plain,
( X_47 != double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))
| X_47 = double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46)))),double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
( inverse(inverse(inverse(inverse(X_47)))) != double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))
| X_47 = double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47))) ),
inference(resolve,[$cnf( $equal(X_47,double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))) )],[refute_0_452,refute_0_458]) ).
cnf(refute_0_460,plain,
X_47 = double_divide(inverse(inverse(X_46)),inverse(multiply(X_46,X_47))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_47)))),double_divide(inverse(inverse(X_46)),inverse(inverse(double_divide(X_47,X_46))))) )],[refute_0_449,refute_0_459]) ).
cnf(refute_0_461,plain,
X_51 = double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),
inference(subst,[],[refute_0_460:[bind(X_46,$fot(X_50)),bind(X_47,$fot(X_51))]]) ).
cnf(refute_0_462,plain,
( X_51 != double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51)))
| double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))) = X_51 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_51)),bind(Y,$fot(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51)))))]]) ).
cnf(refute_0_463,plain,
double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))) = X_51,
inference(resolve,[$cnf( $equal(X_51,double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
( double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))) != X_51
| inverse(inverse(inverse(inverse(X_50)))) != double_divide(inverse(multiply(X_50,X_51)),double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))))
| inverse(inverse(inverse(inverse(X_50)))) = double_divide(inverse(multiply(X_50,X_51)),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(X_50)))),double_divide(inverse(multiply(X_50,X_51)),double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))))) ),[1,1],$fot(X_51)]]) ).
cnf(refute_0_465,plain,
( inverse(inverse(inverse(inverse(X_50)))) != double_divide(inverse(multiply(X_50,X_51)),double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))))
| inverse(inverse(inverse(inverse(X_50)))) = double_divide(inverse(multiply(X_50,X_51)),X_51) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),X_51) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
inverse(inverse(inverse(inverse(X_50)))) = double_divide(inverse(multiply(X_50,X_51)),X_51),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_50)))),double_divide(inverse(multiply(X_50,X_51)),double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))))) )],[refute_0_445,refute_0_465]) ).
cnf(refute_0_467,plain,
inverse(inverse(inverse(inverse(X_50)))) = X_50,
inference(subst,[],[refute_0_204:[bind(X_13,$fot(X_50))]]) ).
cnf(refute_0_468,plain,
( inverse(inverse(inverse(inverse(X_50)))) != X_50
| inverse(inverse(inverse(inverse(X_50)))) != double_divide(inverse(multiply(X_50,X_51)),X_51)
| X_50 = double_divide(inverse(multiply(X_50,X_51)),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(X_50)))),double_divide(inverse(multiply(X_50,X_51)),X_51)) ),[0],$fot(X_50)]]) ).
cnf(refute_0_469,plain,
( inverse(inverse(inverse(inverse(X_50)))) != double_divide(inverse(multiply(X_50,X_51)),X_51)
| X_50 = double_divide(inverse(multiply(X_50,X_51)),X_51) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_50)))),X_50) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
X_50 = double_divide(inverse(multiply(X_50,X_51)),X_51),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_50)))),double_divide(inverse(multiply(X_50,X_51)),X_51)) )],[refute_0_466,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(inverse(X_51),X_63) = double_divide(inverse(multiply(multiply(inverse(X_51),X_63),X_51)),X_51),
inference(subst,[],[refute_0_470:[bind(X_50,$fot(multiply(inverse(X_51),X_63)))]]) ).
cnf(refute_0_472,plain,
multiply(multiply(inverse(X_51),X_63),X_51) = X_63,
inference(subst,[],[refute_0_387:[bind(X_60,$fot(X_51)),bind(X_61,$fot(X_63))]]) ).
cnf(refute_0_473,plain,
( multiply(multiply(inverse(X_51),X_63),X_51) != X_63
| multiply(inverse(X_51),X_63) != double_divide(inverse(multiply(multiply(inverse(X_51),X_63),X_51)),X_51)
| multiply(inverse(X_51),X_63) = double_divide(inverse(X_63),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_51),X_63),double_divide(inverse(multiply(multiply(inverse(X_51),X_63),X_51)),X_51)) ),[1,0,0],$fot(X_63)]]) ).
cnf(refute_0_474,plain,
( multiply(inverse(X_51),X_63) != double_divide(inverse(multiply(multiply(inverse(X_51),X_63),X_51)),X_51)
| multiply(inverse(X_51),X_63) = double_divide(inverse(X_63),X_51) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_51),X_63),X_51),X_63) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
multiply(inverse(X_51),X_63) = double_divide(inverse(X_63),X_51),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),X_63),double_divide(inverse(multiply(multiply(inverse(X_51),X_63),X_51)),X_51)) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
( multiply(inverse(X_51),X_63) != double_divide(inverse(X_63),X_51)
| double_divide(inverse(X_63),X_51) = multiply(inverse(X_51),X_63) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_51),X_63))),bind(Y,$fot(double_divide(inverse(X_63),X_51)))]]) ).
cnf(refute_0_477,plain,
double_divide(inverse(X_63),X_51) = multiply(inverse(X_51),X_63),
inference(resolve,[$cnf( $equal(multiply(inverse(X_51),X_63),double_divide(inverse(X_63),X_51)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
double_divide(inverse(inverse(inverse(X_62))),X_48) = multiply(inverse(X_48),inverse(inverse(X_62))),
inference(subst,[],[refute_0_477:[bind(X_51,$fot(X_48)),bind(X_63,$fot(inverse(inverse(X_62))))]]) ).
cnf(refute_0_479,plain,
( multiply(inverse(inverse(inverse(X_48))),X_62) != double_divide(inverse(inverse(inverse(X_62))),X_48)
| double_divide(inverse(inverse(inverse(X_62))),X_48) != multiply(inverse(X_48),inverse(inverse(X_62)))
| multiply(inverse(inverse(inverse(X_48))),X_62) = multiply(inverse(X_48),inverse(inverse(X_62))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(inverse(X_48))),X_62),multiply(inverse(X_48),inverse(inverse(X_62)))) ),[0],$fot(double_divide(inverse(inverse(inverse(X_62))),X_48))]]) ).
cnf(refute_0_480,plain,
( multiply(inverse(inverse(inverse(X_48))),X_62) != double_divide(inverse(inverse(inverse(X_62))),X_48)
| multiply(inverse(inverse(inverse(X_48))),X_62) = multiply(inverse(X_48),inverse(inverse(X_62))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_62))),X_48),multiply(inverse(X_48),inverse(inverse(X_62)))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(inverse(inverse(inverse(X_48))),X_62) = multiply(inverse(X_48),inverse(inverse(X_62))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_48))),X_62),double_divide(inverse(inverse(inverse(X_62))),X_48)) )],[refute_0_444,refute_0_480]) ).
cnf(refute_0_482,plain,
multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(X_13),inverse(inverse(inverse(X_45)))),
inference(subst,[],[refute_0_481:[bind(X_48,$fot(X_13)),bind(X_62,$fot(inverse(X_45)))]]) ).
cnf(refute_0_483,plain,
( multiply(inverse(X_13),inverse(inverse(inverse(X_45)))) != multiply(inverse(X_13),inverse(X_45))
| multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != multiply(inverse(X_13),inverse(inverse(inverse(X_45))))
| multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(X_13),inverse(X_45)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)))),bind(Y,$fot(multiply(inverse(X_13),inverse(inverse(inverse(X_45)))))),bind(Z,$fot(multiply(inverse(X_13),inverse(X_45))))]]) ).
cnf(refute_0_484,plain,
( multiply(inverse(X_13),inverse(inverse(inverse(X_45)))) != multiply(inverse(X_13),inverse(X_45))
| multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(X_13),inverse(X_45)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),multiply(inverse(X_13),inverse(inverse(inverse(X_45))))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) = multiply(inverse(X_13),inverse(X_45)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),inverse(inverse(inverse(X_45)))),multiply(inverse(X_13),inverse(X_45))) )],[refute_0_435,refute_0_484]) ).
cnf(refute_0_486,plain,
( multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != multiply(inverse(X_13),inverse(X_45))
| multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != double_divide(X_45,X_13)
| multiply(inverse(X_13),inverse(X_45)) = double_divide(X_45,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),double_divide(X_45,X_13)) ),[0],$fot(multiply(inverse(X_13),inverse(X_45)))]]) ).
cnf(refute_0_487,plain,
( multiply(inverse(inverse(inverse(X_13))),inverse(X_45)) != double_divide(X_45,X_13)
| multiply(inverse(X_13),inverse(X_45)) = double_divide(X_45,X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),multiply(inverse(X_13),inverse(X_45))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(inverse(X_13),inverse(X_45)) = double_divide(X_45,X_13),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_13))),inverse(X_45)),double_divide(X_45,X_13)) )],[refute_0_430,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(inverse(inverse(inverse(X_46))),inverse(X_47)) = double_divide(X_47,inverse(inverse(X_46))),
inference(subst,[],[refute_0_488:[bind(X_13,$fot(inverse(inverse(X_46)))),bind(X_45,$fot(X_47))]]) ).
cnf(refute_0_490,plain,
double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = multiply(inverse(inverse(inverse(X_46))),inverse(X_47)),
inference(subst,[],[refute_0_477:[bind(X_51,$fot(inverse(inverse(X_46)))),bind(X_63,$fot(inverse(X_47)))]]) ).
cnf(refute_0_491,plain,
( multiply(inverse(inverse(inverse(X_46))),inverse(X_47)) != double_divide(X_47,inverse(inverse(X_46)))
| double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) != multiply(inverse(inverse(inverse(X_46))),inverse(X_47))
| double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))))),bind(Y,$fot(multiply(inverse(inverse(inverse(X_46))),inverse(X_47)))),bind(Z,$fot(double_divide(X_47,inverse(inverse(X_46)))))]]) ).
cnf(refute_0_492,plain,
( multiply(inverse(inverse(inverse(X_46))),inverse(X_47)) != double_divide(X_47,inverse(inverse(X_46)))
| double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),multiply(inverse(inverse(inverse(X_46))),inverse(X_47))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,inverse(inverse(X_46))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_46))),inverse(X_47)),double_divide(X_47,inverse(inverse(X_46)))) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( double_divide(X_47,inverse(inverse(X_46))) != double_divide(X_47,X_46)
| double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) != double_divide(X_47,inverse(inverse(X_46)))
| double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))))),bind(Y,$fot(double_divide(X_47,inverse(inverse(X_46))))),bind(Z,$fot(double_divide(X_47,X_46)))]]) ).
cnf(refute_0_495,plain,
( double_divide(X_47,inverse(inverse(X_46))) != double_divide(X_47,X_46)
| double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,X_46) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),double_divide(X_47,inverse(inverse(X_46)))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) = double_divide(X_47,X_46),
inference(resolve,[$cnf( $equal(double_divide(X_47,inverse(inverse(X_46))),double_divide(X_47,X_46)) )],[refute_0_419,refute_0_495]) ).
cnf(refute_0_497,plain,
( double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))) != double_divide(X_47,X_46)
| inverse(multiply(X_46,X_47)) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
| inverse(multiply(X_46,X_47)) = double_divide(X_47,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_46,X_47)),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) ),[1],$fot(double_divide(X_47,X_46))]]) ).
cnf(refute_0_498,plain,
( inverse(multiply(X_46,X_47)) != double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))
| inverse(multiply(X_46,X_47)) = double_divide(X_47,X_46) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_47)),inverse(inverse(X_46))),double_divide(X_47,X_46)) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
inverse(multiply(X_46,X_47)) = double_divide(X_47,X_46),
inference(resolve,[$cnf( $equal(inverse(multiply(X_46,X_47)),double_divide(inverse(inverse(X_47)),inverse(inverse(X_46)))) )],[refute_0_341,refute_0_498]) ).
cnf(refute_0_500,plain,
inverse(multiply(X_58,X_59)) = double_divide(X_59,X_58),
inference(subst,[],[refute_0_499:[bind(X_46,$fot(X_58)),bind(X_47,$fot(X_59))]]) ).
cnf(refute_0_501,plain,
multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_58,X_59)),X_60))]]) ).
cnf(refute_0_502,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != multiply(inverse(multiply(X_58,X_59)),X_60)
| inverse(multiply(X_58,X_59)) != double_divide(X_59,X_58)
| multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(double_divide(X_59,X_58),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),multiply(inverse(multiply(X_58,X_59)),X_60)) ),[1,0],$fot(double_divide(X_59,X_58))]]) ).
cnf(refute_0_503,plain,
( inverse(multiply(X_58,X_59)) != double_divide(X_59,X_58)
| multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(double_divide(X_59,X_58),X_60) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),multiply(inverse(multiply(X_58,X_59)),X_60)) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(double_divide(X_59,X_58),X_60),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,X_59)),double_divide(X_59,X_58)) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != multiply(double_divide(X_59,X_58),X_60)
| multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) ),[0],$fot(multiply(double_divide(X_59,X_58),X_60))]]) ).
cnf(refute_0_506,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),multiply(double_divide(X_59,X_58),X_60)) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) = multiply(X_60,double_divide(X_59,X_58)),
inference(subst,[],[refute_0_414:[bind(X_62,$fot(multiply(X_60,double_divide(X_59,X_58))))]]) ).
cnf(refute_0_508,plain,
( multiply(double_divide(X_59,X_58),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) != multiply(X_60,double_divide(X_59,X_58))
| multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_59,X_58),X_60),multiply(X_60,double_divide(X_59,X_58))) ),[0],$fot(inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))))]]) ).
cnf(refute_0_509,plain,
( multiply(double_divide(X_59,X_58),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))),multiply(X_60,double_divide(X_59,X_58))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_59,X_58),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) )],[refute_0_506,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) )],[refute_0_310,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(double_divide(X_13,X_31),X_31) = multiply(X_31,double_divide(X_13,X_31)),
inference(subst,[],[refute_0_511:[bind(X_58,$fot(X_31)),bind(X_59,$fot(X_13)),bind(X_60,$fot(X_31))]]) ).
cnf(refute_0_513,plain,
( multiply(double_divide(X_13,X_31),X_31) != multiply(X_31,double_divide(X_13,X_31))
| multiply(double_divide(X_13,X_31),X_31) != inverse(inverse(inverse(X_13)))
| multiply(X_31,double_divide(X_13,X_31)) = inverse(inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,X_31),X_31),inverse(inverse(inverse(X_13)))) ),[0],$fot(multiply(X_31,double_divide(X_13,X_31)))]]) ).
cnf(refute_0_514,plain,
( multiply(double_divide(X_13,X_31),X_31) != inverse(inverse(inverse(X_13)))
| multiply(X_31,double_divide(X_13,X_31)) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_31),X_31),multiply(X_31,double_divide(X_13,X_31))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
inverse(inverse(inverse(X_13))) = inverse(X_13),
inference(subst,[],[refute_0_414:[bind(X_62,$fot(inverse(X_13)))]]) ).
cnf(refute_0_516,plain,
( multiply(X_31,double_divide(X_13,X_31)) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(X_13))) != inverse(X_13)
| multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_31,double_divide(X_13,X_31)),inverse(X_13)) ),[0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_517,plain,
( multiply(X_31,double_divide(X_13,X_31)) != inverse(inverse(inverse(X_13)))
| multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
( multiply(double_divide(X_13,X_31),X_31) != inverse(inverse(inverse(X_13)))
| multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(multiply(X_31,double_divide(X_13,X_31)),inverse(inverse(inverse(X_13)))) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
multiply(X_31,double_divide(X_13,X_31)) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_31),X_31),inverse(inverse(inverse(X_13)))) )],[refute_0_207,refute_0_518]) ).
cnf(refute_0_520,plain,
multiply(X_91,double_divide(double_divide(X_91,X_46),X_91)) = inverse(double_divide(X_91,X_46)),
inference(subst,[],[refute_0_519:[bind(X_13,$fot(double_divide(X_91,X_46))),bind(X_31,$fot(X_91))]]) ).
cnf(refute_0_521,plain,
inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13))))),
inference(subst,[],[refute_0_327:[bind(X_42,$fot(X_46)),bind(X_45,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_522,plain,
( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))
| inverse(inverse(inverse(inverse(X_13)))) != X_13
| inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_523,plain,
( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))
| inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_204,refute_0_522]) ).
cnf(refute_0_524,plain,
inverse(inverse(X_46)) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),inverse(inverse(inverse(inverse(X_13)))))) )],[refute_0_521,refute_0_523]) ).
cnf(refute_0_525,plain,
( inverse(inverse(X_46)) != X_46
| inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
| X_46 = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) ),[0],$fot(X_46)]]) ).
cnf(refute_0_526,plain,
( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
| X_46 = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),X_46) )],[refute_0_415,refute_0_525]) ).
cnf(refute_0_527,plain,
multiply(inverse(X_46),inverse(X_13)) = double_divide(X_13,X_46),
inference(subst,[],[refute_0_488:[bind(X_13,$fot(X_46)),bind(X_45,$fot(X_13))]]) ).
cnf(refute_0_528,plain,
double_divide(inverse(inverse(X_13)),X_46) = multiply(inverse(X_46),inverse(X_13)),
inference(subst,[],[refute_0_477:[bind(X_51,$fot(X_46)),bind(X_63,$fot(inverse(X_13)))]]) ).
cnf(refute_0_529,plain,
( multiply(inverse(X_46),inverse(X_13)) != double_divide(X_13,X_46)
| double_divide(inverse(inverse(X_13)),X_46) != multiply(inverse(X_46),inverse(X_13))
| double_divide(inverse(inverse(X_13)),X_46) = double_divide(X_13,X_46) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(X_13)),X_46))),bind(Y,$fot(multiply(inverse(X_46),inverse(X_13)))),bind(Z,$fot(double_divide(X_13,X_46)))]]) ).
cnf(refute_0_530,plain,
( multiply(inverse(X_46),inverse(X_13)) != double_divide(X_13,X_46)
| double_divide(inverse(inverse(X_13)),X_46) = double_divide(X_13,X_46) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_46),multiply(inverse(X_46),inverse(X_13))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
double_divide(inverse(inverse(X_13)),X_46) = double_divide(X_13,X_46),
inference(resolve,[$cnf( $equal(multiply(inverse(X_46),inverse(X_13)),double_divide(X_13,X_46)) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13))]]) ).
cnf(refute_0_533,plain,
( double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
| double_divide(inverse(inverse(X_13)),X_46) != double_divide(X_13,X_46)
| double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(X_13,X_46),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) ),[1,0],$fot(double_divide(X_13,X_46))]]) ).
cnf(refute_0_534,plain,
( double_divide(inverse(inverse(X_13)),X_46) != double_divide(X_13,X_46)
| double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(X_13,X_46),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) = double_divide(double_divide(X_13,X_46),X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),X_46),double_divide(X_13,X_46)) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
( X_46 != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
| double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13) != double_divide(double_divide(X_13,X_46),X_13)
| X_46 = double_divide(double_divide(X_13,X_46),X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_46,double_divide(double_divide(X_13,X_46),X_13)) ),[0],$fot(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13))]]) ).
cnf(refute_0_537,plain,
( X_46 != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
| X_46 = double_divide(double_divide(X_13,X_46),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13),double_divide(double_divide(X_13,X_46),X_13)) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
( inverse(inverse(X_46)) != double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)
| X_46 = double_divide(double_divide(X_13,X_46),X_13) ),
inference(resolve,[$cnf( $equal(X_46,double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) )],[refute_0_526,refute_0_537]) ).
cnf(refute_0_539,plain,
X_46 = double_divide(double_divide(X_13,X_46),X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(X_46)),double_divide(double_divide(inverse(inverse(X_13)),X_46),X_13)) )],[refute_0_524,refute_0_538]) ).
cnf(refute_0_540,plain,
X_46 = double_divide(double_divide(X_91,X_46),X_91),
inference(subst,[],[refute_0_539:[bind(X_13,$fot(X_91))]]) ).
cnf(refute_0_541,plain,
( X_46 != double_divide(double_divide(X_91,X_46),X_91)
| double_divide(double_divide(X_91,X_46),X_91) = X_46 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_46)),bind(Y,$fot(double_divide(double_divide(X_91,X_46),X_91)))]]) ).
cnf(refute_0_542,plain,
double_divide(double_divide(X_91,X_46),X_91) = X_46,
inference(resolve,[$cnf( $equal(X_46,double_divide(double_divide(X_91,X_46),X_91)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( multiply(X_91,double_divide(double_divide(X_91,X_46),X_91)) != inverse(double_divide(X_91,X_46))
| double_divide(double_divide(X_91,X_46),X_91) != X_46
| multiply(X_91,X_46) = inverse(double_divide(X_91,X_46)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_91,double_divide(double_divide(X_91,X_46),X_91)),inverse(double_divide(X_91,X_46))) ),[0,1],$fot(X_46)]]) ).
cnf(refute_0_544,plain,
( multiply(X_91,double_divide(double_divide(X_91,X_46),X_91)) != inverse(double_divide(X_91,X_46))
| multiply(X_91,X_46) = inverse(double_divide(X_91,X_46)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_91,X_46),X_91),X_46) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
multiply(X_91,X_46) = inverse(double_divide(X_91,X_46)),
inference(resolve,[$cnf( $equal(multiply(X_91,double_divide(double_divide(X_91,X_46),X_91)),inverse(double_divide(X_91,X_46))) )],[refute_0_520,refute_0_544]) ).
cnf(refute_0_546,plain,
inverse(double_divide(X_91,X_46)) = multiply(X_46,X_91),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_46)),bind(B,$fot(X_91))]]) ).
cnf(refute_0_547,plain,
( multiply(X_91,X_46) != inverse(double_divide(X_91,X_46))
| inverse(double_divide(X_91,X_46)) != multiply(X_46,X_91)
| multiply(X_91,X_46) = multiply(X_46,X_91) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_91,X_46),multiply(X_46,X_91)) ),[0],$fot(inverse(double_divide(X_91,X_46)))]]) ).
cnf(refute_0_548,plain,
( multiply(X_91,X_46) != inverse(double_divide(X_91,X_46))
| multiply(X_91,X_46) = multiply(X_46,X_91) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_91,X_46)),multiply(X_46,X_91)) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(X_91,X_46) = multiply(X_46,X_91),
inference(resolve,[$cnf( $equal(multiply(X_91,X_46),inverse(double_divide(X_91,X_46))) )],[refute_0_545,refute_0_548]) ).
cnf(refute_0_550,plain,
( multiply(X_91,X_46) != multiply(X_46,X_91)
| multiply(X_46,X_91) = multiply(X_91,X_46) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_91,X_46))),bind(Y,$fot(multiply(X_46,X_91)))]]) ).
cnf(refute_0_551,plain,
multiply(X_46,X_91) = multiply(X_91,X_46),
inference(resolve,[$cnf( $equal(multiply(X_91,X_46),multiply(X_46,X_91)) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_551:[bind(X_46,$fot(multiply(a3,b3))),bind(X_91,$fot(c3))]]) ).
cnf(refute_0_553,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_554,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_554,prove_these_axioms_3]) ).
cnf(refute_0_556,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(inverse(multiply(X_50,X_58)),X_58),X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = X_61,
inference(subst,[],[refute_0_226:[bind(A,$fot(X_58)),bind(B,$fot(inverse(multiply(X_50,X_58)))),bind(X_10,$fot(X_60)),bind(X_11,$fot(X_61))]]) ).
cnf(refute_0_557,plain,
X_50 = double_divide(inverse(multiply(X_50,X_58)),X_58),
inference(subst,[],[refute_0_470:[bind(X_51,$fot(X_58))]]) ).
cnf(refute_0_558,plain,
( X_50 != double_divide(inverse(multiply(X_50,X_58)),X_58)
| double_divide(inverse(multiply(X_50,X_58)),X_58) = X_50 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_50)),bind(Y,$fot(double_divide(inverse(multiply(X_50,X_58)),X_58)))]]) ).
cnf(refute_0_559,plain,
double_divide(inverse(multiply(X_50,X_58)),X_58) = X_50,
inference(resolve,[$cnf( $equal(X_50,double_divide(inverse(multiply(X_50,X_58)),X_58)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(inverse(multiply(X_50,X_58)),X_58),X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) != X_61
| double_divide(inverse(multiply(X_50,X_58)),X_58) != X_50
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(inverse(multiply(X_50,X_58)),X_58),X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),X_61) ),[0,0,0,1,0],$fot(X_50)]]) ).
cnf(refute_0_561,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(inverse(multiply(X_50,X_58)),X_58),X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = X_61 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_50,X_58)),X_58),X_50) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = X_61,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(inverse(multiply(X_50,X_58)),X_58),X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),X_61) )],[refute_0_556,refute_0_561]) ).
cnf(refute_0_563,plain,
multiply(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),inverse(multiply(X_50,X_51))) = inverse(inverse(inverse(inverse(inverse(X_50))))),
inference(subst,[],[refute_0_207:[bind(X_13,$fot(inverse(inverse(X_50)))),bind(X_31,$fot(inverse(multiply(X_50,X_51))))]]) ).
cnf(refute_0_564,plain,
( multiply(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),inverse(multiply(X_50,X_51))) != inverse(inverse(inverse(inverse(inverse(X_50)))))
| double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))) != X_51
| multiply(X_51,inverse(multiply(X_50,X_51))) = inverse(inverse(inverse(inverse(inverse(X_50))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),inverse(multiply(X_50,X_51))),inverse(inverse(inverse(inverse(inverse(X_50)))))) ),[0,0],$fot(X_51)]]) ).
cnf(refute_0_565,plain,
( multiply(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),inverse(multiply(X_50,X_51))) != inverse(inverse(inverse(inverse(inverse(X_50)))))
| multiply(X_51,inverse(multiply(X_50,X_51))) = inverse(inverse(inverse(inverse(inverse(X_50))))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),X_51) )],[refute_0_463,refute_0_564]) ).
cnf(refute_0_566,plain,
multiply(X_51,inverse(multiply(X_50,X_51))) = inverse(inverse(inverse(inverse(inverse(X_50))))),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_50)),inverse(multiply(X_50,X_51))),inverse(multiply(X_50,X_51))),inverse(inverse(inverse(inverse(inverse(X_50)))))) )],[refute_0_563,refute_0_565]) ).
cnf(refute_0_567,plain,
inverse(inverse(inverse(inverse(inverse(X_50))))) = inverse(X_50),
inference(subst,[],[refute_0_204:[bind(X_13,$fot(inverse(X_50)))]]) ).
cnf(refute_0_568,plain,
( multiply(X_51,inverse(multiply(X_50,X_51))) != inverse(inverse(inverse(inverse(inverse(X_50)))))
| inverse(inverse(inverse(inverse(inverse(X_50))))) != inverse(X_50)
| multiply(X_51,inverse(multiply(X_50,X_51))) = inverse(X_50) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_51,inverse(multiply(X_50,X_51))),inverse(X_50)) ),[0],$fot(inverse(inverse(inverse(inverse(inverse(X_50))))))]]) ).
cnf(refute_0_569,plain,
( multiply(X_51,inverse(multiply(X_50,X_51))) != inverse(inverse(inverse(inverse(inverse(X_50)))))
| multiply(X_51,inverse(multiply(X_50,X_51))) = inverse(X_50) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_50))))),inverse(X_50)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(X_51,inverse(multiply(X_50,X_51))) = inverse(X_50),
inference(resolve,[$cnf( $equal(multiply(X_51,inverse(multiply(X_50,X_51))),inverse(inverse(inverse(inverse(inverse(X_50)))))) )],[refute_0_566,refute_0_569]) ).
cnf(refute_0_571,plain,
multiply(X_58,inverse(multiply(X_50,X_58))) = inverse(X_50),
inference(subst,[],[refute_0_570:[bind(X_51,$fot(X_58))]]) ).
cnf(refute_0_572,plain,
double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))) = double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))))]]) ).
cnf(refute_0_573,plain,
( multiply(X_58,inverse(multiply(X_50,X_58))) != inverse(X_50)
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))) != double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58))))
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))) = double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58))))) ),[1,1],$fot(inverse(X_50))]]) ).
cnf(refute_0_574,plain,
( multiply(X_58,inverse(multiply(X_50,X_58))) != inverse(X_50)
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))) = double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58))))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))) = double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),
inference(resolve,[$cnf( $equal(multiply(X_58,inverse(multiply(X_50,X_58))),inverse(X_50)) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60))]]) ).
cnf(refute_0_577,plain,
( multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) != multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60)
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))) != double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60)) ),[1,0],$fot(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)))]]) ).
cnf(refute_0_578,plain,
( double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))) != double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60)) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) = multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) )],[refute_0_575,refute_0_578]) ).
cnf(refute_0_580,plain,
( multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) != multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60)
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),X_61) ),[0],$fot(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60))]]) ).
cnf(refute_0_581,plain,
( multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60)) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) = X_61,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),multiply(X_58,inverse(multiply(X_50,X_58)))),X_60),X_61) )],[refute_0_562,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) = multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))),
inference(subst,[],[refute_0_511:[bind(X_58,$fot(inverse(X_50))),bind(X_59,$fot(double_divide(X_61,double_divide(X_50,X_60))))]]) ).
cnf(refute_0_584,plain,
( multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) != multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)))
| multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60),X_61) ),[0],$fot(multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))))]]) ).
cnf(refute_0_585,plain,
( multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60) != X_61
| multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60),multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) = X_61,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),X_60),X_61) )],[refute_0_582,refute_0_585]) ).
cnf(refute_0_587,plain,
inverse(double_divide(X_61,double_divide(X_50,X_60))) = multiply(double_divide(X_50,X_60),X_61),
inference(subst,[],[refute_0_72:[bind(A,$fot(double_divide(X_50,X_60))),bind(B,$fot(X_61))]]) ).
cnf(refute_0_588,plain,
multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))) = multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))),
introduced(tautology,[refl,[$fot(multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))))]]) ).
cnf(refute_0_589,plain,
( multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))) != multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60))))
| inverse(double_divide(X_61,double_divide(X_50,X_60))) != multiply(double_divide(X_50,X_60),X_61)
| multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))) = multiply(X_50,multiply(double_divide(X_50,X_60),X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))),multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60))))) ),[1,1],$fot(multiply(double_divide(X_50,X_60),X_61))]]) ).
cnf(refute_0_590,plain,
( inverse(double_divide(X_61,double_divide(X_50,X_60))) != multiply(double_divide(X_50,X_60),X_61)
| multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))) = multiply(X_50,multiply(double_divide(X_50,X_60),X_61)) ),
inference(resolve,[$cnf( $equal(multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))),multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60))))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))) = multiply(X_50,multiply(double_divide(X_50,X_60),X_61)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_61,double_divide(X_50,X_60))),multiply(double_divide(X_50,X_60),X_61)) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(A,inverse(X_76)) = inverse(double_divide(inverse(X_76),A)),
inference(subst,[],[refute_0_36:[bind(B,$fot(inverse(X_76)))]]) ).
cnf(refute_0_593,plain,
multiply(inverse(A),X_76) = double_divide(inverse(X_76),A),
inference(subst,[],[refute_0_475:[bind(X_51,$fot(A)),bind(X_63,$fot(X_76))]]) ).
cnf(refute_0_594,plain,
( multiply(inverse(A),X_76) != double_divide(inverse(X_76),A)
| double_divide(inverse(X_76),A) = multiply(inverse(A),X_76) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(A),X_76))),bind(Y,$fot(double_divide(inverse(X_76),A)))]]) ).
cnf(refute_0_595,plain,
double_divide(inverse(X_76),A) = multiply(inverse(A),X_76),
inference(resolve,[$cnf( $equal(multiply(inverse(A),X_76),double_divide(inverse(X_76),A)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
( multiply(A,inverse(X_76)) != inverse(double_divide(inverse(X_76),A))
| double_divide(inverse(X_76),A) != multiply(inverse(A),X_76)
| multiply(A,inverse(X_76)) = inverse(multiply(inverse(A),X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(X_76)),inverse(double_divide(inverse(X_76),A))) ),[1,0],$fot(multiply(inverse(A),X_76))]]) ).
cnf(refute_0_597,plain,
( multiply(A,inverse(X_76)) != inverse(double_divide(inverse(X_76),A))
| multiply(A,inverse(X_76)) = inverse(multiply(inverse(A),X_76)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_76),A),multiply(inverse(A),X_76)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
multiply(A,inverse(X_76)) = inverse(multiply(inverse(A),X_76)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_76)),inverse(double_divide(inverse(X_76),A))) )],[refute_0_592,refute_0_597]) ).
cnf(refute_0_599,plain,
inverse(multiply(inverse(A),X_76)) = double_divide(X_76,inverse(A)),
inference(subst,[],[refute_0_499:[bind(X_46,$fot(inverse(A))),bind(X_47,$fot(X_76))]]) ).
cnf(refute_0_600,plain,
( multiply(A,inverse(X_76)) != inverse(multiply(inverse(A),X_76))
| inverse(multiply(inverse(A),X_76)) != double_divide(X_76,inverse(A))
| multiply(A,inverse(X_76)) = double_divide(X_76,inverse(A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,inverse(X_76)),double_divide(X_76,inverse(A))) ),[0],$fot(inverse(multiply(inverse(A),X_76)))]]) ).
cnf(refute_0_601,plain,
( multiply(A,inverse(X_76)) != inverse(multiply(inverse(A),X_76))
| multiply(A,inverse(X_76)) = double_divide(X_76,inverse(A)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(A),X_76)),double_divide(X_76,inverse(A))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
multiply(A,inverse(X_76)) = double_divide(X_76,inverse(A)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_76)),inverse(multiply(inverse(A),X_76))) )],[refute_0_598,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiply(A,inverse(X_76)) != double_divide(X_76,inverse(A))
| double_divide(X_76,inverse(A)) = multiply(A,inverse(X_76)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,inverse(X_76)))),bind(Y,$fot(double_divide(X_76,inverse(A))))]]) ).
cnf(refute_0_604,plain,
double_divide(X_76,inverse(A)) = multiply(A,inverse(X_76)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(X_76)),double_divide(X_76,inverse(A))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) = multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))),
inference(subst,[],[refute_0_604:[bind(A,$fot(X_50)),bind(X_76,$fot(double_divide(X_61,double_divide(X_50,X_60))))]]) ).
cnf(refute_0_606,plain,
( multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))) != multiply(X_50,multiply(double_divide(X_50,X_60),X_61))
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) != multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60))))
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) = multiply(X_50,multiply(double_divide(X_50,X_60),X_61)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)))),bind(Y,$fot(multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))))),bind(Z,$fot(multiply(X_50,multiply(double_divide(X_50,X_60),X_61))))]]) ).
cnf(refute_0_607,plain,
( multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))) != multiply(X_50,multiply(double_divide(X_50,X_60),X_61))
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) = multiply(X_50,multiply(double_divide(X_50,X_60),X_61)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60))))) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) = multiply(X_50,multiply(double_divide(X_50,X_60),X_61)),
inference(resolve,[$cnf( $equal(multiply(X_50,inverse(double_divide(X_61,double_divide(X_50,X_60)))),multiply(X_50,multiply(double_divide(X_50,X_60),X_61))) )],[refute_0_591,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) = multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))),
introduced(tautology,[refl,[$fot(multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))))]]) ).
cnf(refute_0_610,plain,
( multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) != multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)))
| double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) != multiply(X_50,multiply(double_divide(X_50,X_60),X_61))
| multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) = multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))),multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)))) ),[1,1],$fot(multiply(X_50,multiply(double_divide(X_50,X_60),X_61)))]]) ).
cnf(refute_0_611,plain,
( double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)) != multiply(X_50,multiply(double_divide(X_50,X_60),X_61))
| multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) = multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))),multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) = multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50)),multiply(X_50,multiply(double_divide(X_50,X_60),X_61))) )],[refute_0_608,refute_0_611]) ).
cnf(refute_0_613,plain,
( multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) != X_61
| multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) != multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61)))
| multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61))) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))),X_61) ),[0],$fot(multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61))))]]) ).
cnf(refute_0_614,plain,
( multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))) != X_61
| multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61))) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))),multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61)))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(X_60,multiply(X_50,multiply(double_divide(X_50,X_60),X_61))) = X_61,
inference(resolve,[$cnf( $equal(multiply(X_60,double_divide(double_divide(X_61,double_divide(X_50,X_60)),inverse(X_50))),X_61) )],[refute_0_586,refute_0_614]) ).
cnf(refute_0_616,plain,
multiply(X_95,multiply(X_94,multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))))) = multiply(X_73,inverse(double_divide(X_94,X_95))),
inference(subst,[],[refute_0_615:[bind(X_50,$fot(X_94)),bind(X_60,$fot(X_95)),bind(X_61,$fot(multiply(X_73,inverse(double_divide(X_94,X_95)))))]]) ).
cnf(refute_0_617,plain,
double_divide(inverse(multiply(X_50,X_51)),X_51) = multiply(inverse(X_51),multiply(X_50,X_51)),
inference(subst,[],[refute_0_477:[bind(X_63,$fot(multiply(X_50,X_51)))]]) ).
cnf(refute_0_618,plain,
( X_50 != double_divide(inverse(multiply(X_50,X_51)),X_51)
| double_divide(inverse(multiply(X_50,X_51)),X_51) != multiply(inverse(X_51),multiply(X_50,X_51))
| X_50 = multiply(inverse(X_51),multiply(X_50,X_51)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_50,multiply(inverse(X_51),multiply(X_50,X_51))) ),[0],$fot(double_divide(inverse(multiply(X_50,X_51)),X_51))]]) ).
cnf(refute_0_619,plain,
( X_50 != double_divide(inverse(multiply(X_50,X_51)),X_51)
| X_50 = multiply(inverse(X_51),multiply(X_50,X_51)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_50,X_51)),X_51),multiply(inverse(X_51),multiply(X_50,X_51))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
X_50 = multiply(inverse(X_51),multiply(X_50,X_51)),
inference(resolve,[$cnf( $equal(X_50,double_divide(inverse(multiply(X_50,X_51)),X_51)) )],[refute_0_470,refute_0_619]) ).
cnf(refute_0_621,plain,
X_73 = multiply(inverse(inverse(X_62)),multiply(X_73,inverse(X_62))),
inference(subst,[],[refute_0_620:[bind(X_50,$fot(X_73)),bind(X_51,$fot(inverse(X_62)))]]) ).
cnf(refute_0_622,plain,
( X_73 != multiply(inverse(inverse(X_62)),multiply(X_73,inverse(X_62)))
| inverse(inverse(X_62)) != X_62
| X_73 = multiply(X_62,multiply(X_73,inverse(X_62))) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,multiply(inverse(inverse(X_62)),multiply(X_73,inverse(X_62)))) ),[1,0],$fot(X_62)]]) ).
cnf(refute_0_623,plain,
( X_73 != multiply(inverse(inverse(X_62)),multiply(X_73,inverse(X_62)))
| X_73 = multiply(X_62,multiply(X_73,inverse(X_62))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_62)),X_62) )],[refute_0_414,refute_0_622]) ).
cnf(refute_0_624,plain,
X_73 = multiply(X_62,multiply(X_73,inverse(X_62))),
inference(resolve,[$cnf( $equal(X_73,multiply(inverse(inverse(X_62)),multiply(X_73,inverse(X_62)))) )],[refute_0_621,refute_0_623]) ).
cnf(refute_0_625,plain,
X_73 = multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))),
inference(subst,[],[refute_0_624:[bind(X_62,$fot(double_divide(X_94,X_95)))]]) ).
cnf(refute_0_626,plain,
( X_73 != multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95))))
| multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))) = X_73 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_73)),bind(Y,$fot(multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95))))))]]) ).
cnf(refute_0_627,plain,
multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))) = X_73,
inference(resolve,[$cnf( $equal(X_73,multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95))))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
( multiply(X_95,multiply(X_94,multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))))) != multiply(X_73,inverse(double_divide(X_94,X_95)))
| multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))) != X_73
| multiply(X_95,multiply(X_94,X_73)) = multiply(X_73,inverse(double_divide(X_94,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_95,multiply(X_94,multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))))),multiply(X_73,inverse(double_divide(X_94,X_95)))) ),[0,1,1],$fot(X_73)]]) ).
cnf(refute_0_629,plain,
( multiply(X_95,multiply(X_94,multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))))) != multiply(X_73,inverse(double_divide(X_94,X_95)))
| multiply(X_95,multiply(X_94,X_73)) = multiply(X_73,inverse(double_divide(X_94,X_95))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))),X_73) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
multiply(X_95,multiply(X_94,X_73)) = multiply(X_73,inverse(double_divide(X_94,X_95))),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(X_94,multiply(double_divide(X_94,X_95),multiply(X_73,inverse(double_divide(X_94,X_95)))))),multiply(X_73,inverse(double_divide(X_94,X_95)))) )],[refute_0_616,refute_0_629]) ).
cnf(refute_0_631,plain,
inverse(double_divide(X_94,X_95)) = multiply(X_95,X_94),
inference(subst,[],[refute_0_72:[bind(A,$fot(X_95)),bind(B,$fot(X_94))]]) ).
cnf(refute_0_632,plain,
multiply(X_73,inverse(double_divide(X_94,X_95))) = multiply(X_73,inverse(double_divide(X_94,X_95))),
introduced(tautology,[refl,[$fot(multiply(X_73,inverse(double_divide(X_94,X_95))))]]) ).
cnf(refute_0_633,plain,
( multiply(X_73,inverse(double_divide(X_94,X_95))) != multiply(X_73,inverse(double_divide(X_94,X_95)))
| inverse(double_divide(X_94,X_95)) != multiply(X_95,X_94)
| multiply(X_73,inverse(double_divide(X_94,X_95))) = multiply(X_73,multiply(X_95,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_73,inverse(double_divide(X_94,X_95))),multiply(X_73,inverse(double_divide(X_94,X_95)))) ),[1,1],$fot(multiply(X_95,X_94))]]) ).
cnf(refute_0_634,plain,
( inverse(double_divide(X_94,X_95)) != multiply(X_95,X_94)
| multiply(X_73,inverse(double_divide(X_94,X_95))) = multiply(X_73,multiply(X_95,X_94)) ),
inference(resolve,[$cnf( $equal(multiply(X_73,inverse(double_divide(X_94,X_95))),multiply(X_73,inverse(double_divide(X_94,X_95)))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(X_73,inverse(double_divide(X_94,X_95))) = multiply(X_73,multiply(X_95,X_94)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_94,X_95)),multiply(X_95,X_94)) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
( multiply(X_73,inverse(double_divide(X_94,X_95))) != multiply(X_73,multiply(X_95,X_94))
| multiply(X_95,multiply(X_94,X_73)) != multiply(X_73,inverse(double_divide(X_94,X_95)))
| multiply(X_95,multiply(X_94,X_73)) = multiply(X_73,multiply(X_95,X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_95,multiply(X_94,X_73)),multiply(X_73,inverse(double_divide(X_94,X_95)))) ),[1],$fot(multiply(X_73,multiply(X_95,X_94)))]]) ).
cnf(refute_0_637,plain,
( multiply(X_95,multiply(X_94,X_73)) != multiply(X_73,inverse(double_divide(X_94,X_95)))
| multiply(X_95,multiply(X_94,X_73)) = multiply(X_73,multiply(X_95,X_94)) ),
inference(resolve,[$cnf( $equal(multiply(X_73,inverse(double_divide(X_94,X_95))),multiply(X_73,multiply(X_95,X_94))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
multiply(X_95,multiply(X_94,X_73)) = multiply(X_73,multiply(X_95,X_94)),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(X_94,X_73)),multiply(X_73,inverse(double_divide(X_94,X_95)))) )],[refute_0_630,refute_0_637]) ).
cnf(refute_0_639,plain,
( multiply(X_95,multiply(X_94,X_73)) != multiply(X_73,multiply(X_95,X_94))
| multiply(X_73,multiply(X_95,X_94)) = multiply(X_95,multiply(X_94,X_73)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_95,multiply(X_94,X_73)))),bind(Y,$fot(multiply(X_73,multiply(X_95,X_94))))]]) ).
cnf(refute_0_640,plain,
multiply(X_73,multiply(X_95,X_94)) = multiply(X_95,multiply(X_94,X_73)),
inference(resolve,[$cnf( $equal(multiply(X_95,multiply(X_94,X_73)),multiply(X_73,multiply(X_95,X_94))) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_640:[bind(X_73,$fot(c3)),bind(X_94,$fot(b3)),bind(X_95,$fot(a3))]]) ).
cnf(refute_0_642,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_643,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_643,refute_0_555]) ).
cnf(refute_0_645,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_646,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_645,refute_0_644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GRP575-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 05:07:34 EDT 2022
% 0.21/0.35 % CPUTime :
% 0.21/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48
% 0.21/0.48 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.43/0.58
%------------------------------------------------------------------------------