TSTP Solution File: GRP572-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 10:42:27 EDT 2022
% Result : Unsatisfiable 0.17s 0.43s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 112
% Syntax : Number of clauses : 379 ( 189 unt; 0 nHn; 191 RR)
% Number of literals : 658 ( 657 equ; 281 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 703 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),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_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_6,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)))]]) ).
cnf(refute_0_7,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))) ),[1,1],$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(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),
inference(resolve,[$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(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))]]) ).
cnf(refute_0_12,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_13,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))))]]) ).
cnf(refute_0_16,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))) ),[1,1],$fot(double_divide(double_divide(B,double_divide(A,C)),inverse(C)))]]) ).
cnf(refute_0_17,plain,
( double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(A,C)),inverse(C))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_20,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))))]]) ).
cnf(refute_0_21,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_23]) ).
cnf(refute_0_25,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)))),bind(Z,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))))]]) ).
cnf(refute_0_26,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))) )],[refute_0_9,refute_0_26]) ).
cnf(refute_0_28,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),B) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)))]]) ).
cnf(refute_0_29,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),B) )],[single_axiom,refute_0_29]) ).
cnf(refute_0_31,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_30:[bind(A,$fot(double_divide(X_3,X_2))),bind(B,$fot(X_11)),bind(C,$fot(multiply(X_2,X_3)))]]) ).
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( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_46,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) )],[refute_0_31,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_49,plain,
double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_50,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) != double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))
| double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_51,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))))]]) ).
cnf(refute_0_54,plain,
( double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))
| double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) != double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))
| double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_55,plain,
( double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))
| double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) = double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)))]]) ).
cnf(refute_0_58,plain,
( double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) != double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity))) ),[1,0],$fot(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))))]]) ).
cnf(refute_0_59,plain,
( double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))) != double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)))]]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(double_divide(X_11,identity),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) )],[refute_0_47,refute_0_62]) ).
cnf(refute_0_64,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_65,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_36,refute_0_64]) ).
cnf(refute_0_66,plain,
inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
inference(subst,[],[refute_0_65:[bind(A,$fot(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))),bind(B,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_67,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))))]]) ).
cnf(refute_0_68,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) != inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))))
| inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity))),bind(Y,$fot(inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))))),bind(Z,$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))))]]) ).
cnf(refute_0_69,plain,
( inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity),inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_30:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(X_10)))]]) ).
cnf(refute_0_72,plain,
identity = double_divide(X_10,inverse(X_10)),
inference(subst,[],[identity:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_73,plain,
( identity != double_divide(X_10,inverse(X_10))
| double_divide(X_10,inverse(X_10)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_10,inverse(X_10))))]]) ).
cnf(refute_0_74,plain,
double_divide(X_10,inverse(X_10)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_10,inverse(X_10))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
( double_divide(X_10,inverse(X_10)) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_76,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X_10)),identity) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,inverse(X_10))),inverse(inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_71,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))]]) ).
cnf(refute_0_79,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) != double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(inverse(X_11),inverse(inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_80,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(inverse(X_11),inverse(inverse(X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) = double_divide(inverse(X_11),inverse(inverse(X_10))),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_48,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))))]]) ).
cnf(refute_0_83,plain,
( double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))
| double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) != double_divide(inverse(X_11),inverse(inverse(X_10)))
| double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(inverse(X_10))))]]) ).
cnf(refute_0_84,plain,
( double_divide(double_divide(X_11,identity),inverse(inverse(X_10))) != double_divide(inverse(X_11),inverse(inverse(X_10)))
| double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10))))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(inverse(X_10))),double_divide(inverse(X_11),inverse(inverse(X_10)))) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)))]]) ).
cnf(refute_0_87,plain,
( double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))))]]) ).
cnf(refute_0_88,plain,
( double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)))]]) ).
cnf(refute_0_91,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,identity),inverse(inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_77,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) = X_13,
inference(subst,[],[refute_0_92:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_13))]]) ).
cnf(refute_0_94,plain,
identity = double_divide(inverse(X_13),inverse(inverse(X_13))),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_95,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_96,plain,
double_divide(inverse(X_13),inverse(inverse(X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_13),inverse(inverse(X_13)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(inverse(X_13))) != identity
| double_divide(double_divide(X_13,identity),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_98,plain,
( double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(double_divide(X_13,identity),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(inverse(X_13))),identity) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) )],[refute_0_93,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(X_13,identity) = inverse(X_13),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_101,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(double_divide(X_13,identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,identity),inverse(identity)))]]) ).
cnf(refute_0_102,plain,
( double_divide(X_13,identity) != inverse(X_13)
| double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(double_divide(X_13,identity),inverse(identity))
| double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) ),[1,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_103,plain,
( double_divide(X_13,identity) != inverse(X_13)
| double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_13,identity),inverse(X_13)) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
( double_divide(double_divide(X_13,identity),inverse(identity)) != X_13
| double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| double_divide(inverse(X_13),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),X_13) ),[0],$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_106,plain,
( double_divide(double_divide(X_13,identity),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
double_divide(inverse(X_13),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),X_13) )],[refute_0_99,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_107:[bind(X_13,$fot(inverse(identity)))]]) ).
cnf(refute_0_109,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_30:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).
cnf(refute_0_110,plain,
inverse(X_10) = double_divide(X_10,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_111,plain,
( inverse(X_10) != double_divide(X_10,identity)
| double_divide(X_10,identity) = inverse(X_10) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(double_divide(X_10,identity)))]]) ).
cnf(refute_0_112,plain,
double_divide(X_10,identity) = inverse(X_10),
inference(resolve,[$cnf( $equal(inverse(X_10),double_divide(X_10,identity)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_114,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) )],[refute_0_109,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)) = inverse(X_13),
inference(subst,[],[refute_0_115:[bind(X_10,$fot(identity)),bind(X_11,$fot(inverse(X_13)))]]) ).
cnf(refute_0_117,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_13)
| double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_13)) ),[0,0,1,0],$fot(X_13)]]) ).
cnf(refute_0_118,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_13)
| double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_107,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_13),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_13)) )],[refute_0_116,refute_0_118]) ).
cnf(refute_0_120,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_119:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_121,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_122,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_123,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_125,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) )],[refute_0_120,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_119:[bind(X_13,$fot(inverse(X_13)))]]) ).
cnf(refute_0_128,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) ),[0,0,1],$fot(X_13)]]) ).
cnf(refute_0_129,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
| double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_107,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_127,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(inverse(identity)),
inference(subst,[],[refute_0_130:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_132,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) ),[0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_133,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(inverse(identity))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) )],[refute_0_126,refute_0_133]) ).
cnf(refute_0_135,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) ),[0,0],$fot(inverse(identity))]]) ).
cnf(refute_0_136,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_108,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(subst,[],[refute_0_107:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_139,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_140,plain,
( double_divide(inverse(identity),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_143,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)))]]) ).
cnf(refute_0_145,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_146,plain,
( inverse(identity) != identity
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_146]) ).
cnf(refute_0_148,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity)
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity))),bind(Z,$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))))]]) ).
cnf(refute_0_149,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),identity),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_70,refute_0_149]) ).
cnf(refute_0_151,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_152,plain,
( double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)) != X_11
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_3,X_2),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))),inverse(identity)),X_11) )],[refute_0_63,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(inverse(double_divide(B,A)),inverse(identity)) = double_divide(B,A),
inference(subst,[],[refute_0_107:[bind(X_13,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_155,plain,
( double_divide(inverse(double_divide(B,A)),inverse(identity)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(multiply(A,B),inverse(identity)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(identity)),double_divide(B,A)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_156,plain,
( double_divide(inverse(double_divide(B,A)),inverse(identity)) != double_divide(B,A)
| double_divide(multiply(A,B),inverse(identity)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_65,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(multiply(A,B),inverse(identity)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(B,A)),inverse(identity)),double_divide(B,A)) )],[refute_0_154,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(multiply(A,B),identity) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(A,B)))]]) ).
cnf(refute_0_159,plain,
double_divide(multiply(A,B),inverse(identity)) = double_divide(multiply(A,B),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(multiply(A,B),inverse(identity)))]]) ).
cnf(refute_0_160,plain,
( double_divide(multiply(A,B),inverse(identity)) != double_divide(multiply(A,B),inverse(identity))
| inverse(identity) != identity
| double_divide(multiply(A,B),inverse(identity)) = double_divide(multiply(A,B),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),double_divide(multiply(A,B),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_161,plain,
( inverse(identity) != identity
| double_divide(multiply(A,B),inverse(identity)) = double_divide(multiply(A,B),identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),double_divide(multiply(A,B),inverse(identity))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
double_divide(multiply(A,B),inverse(identity)) = double_divide(multiply(A,B),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_161]) ).
cnf(refute_0_163,plain,
( double_divide(multiply(A,B),identity) != inverse(multiply(A,B))
| double_divide(multiply(A,B),inverse(identity)) != double_divide(multiply(A,B),identity)
| double_divide(multiply(A,B),inverse(identity)) = inverse(multiply(A,B)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(multiply(A,B),inverse(identity)))),bind(Y,$fot(double_divide(multiply(A,B),identity))),bind(Z,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_164,plain,
( double_divide(multiply(A,B),identity) != inverse(multiply(A,B))
| double_divide(multiply(A,B),inverse(identity)) = inverse(multiply(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),double_divide(multiply(A,B),identity)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(multiply(A,B),inverse(identity)) = inverse(multiply(A,B)),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),identity),inverse(multiply(A,B))) )],[refute_0_158,refute_0_164]) ).
cnf(refute_0_166,plain,
( double_divide(multiply(A,B),inverse(identity)) != double_divide(B,A)
| double_divide(multiply(A,B),inverse(identity)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_167,plain,
( double_divide(multiply(A,B),inverse(identity)) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),inverse(multiply(A,B))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),inverse(identity)),double_divide(B,A)) )],[refute_0_157,refute_0_167]) ).
cnf(refute_0_169,plain,
inverse(multiply(X_2,X_3)) = double_divide(X_3,X_2),
inference(subst,[],[refute_0_168:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_170,plain,
double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_171,plain,
( double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))
| inverse(multiply(X_2,X_3)) != double_divide(X_3,X_2)
| double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),double_divide(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) ),[1,1],$fot(double_divide(X_3,X_2))]]) ).
cnf(refute_0_172,plain,
( inverse(multiply(X_2,X_3)) != double_divide(X_3,X_2)
| double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),inverse(multiply(X_2,X_3)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) = double_divide(inverse(X_11),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_2,X_3)),double_divide(X_3,X_2)) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_175,plain,
( multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))
| double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) ),[1,0],$fot(double_divide(inverse(X_11),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_176,plain,
( double_divide(inverse(X_11),inverse(multiply(X_2,X_3))) != double_divide(inverse(X_11),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) = multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(inverse(X_11),double_divide(X_3,X_2))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != X_11
| multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2))
| multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)))]]) ).
cnf(refute_0_179,plain,
( multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)) != X_11
| multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(double_divide(inverse(X_11),double_divide(X_3,X_2)),double_divide(X_3,X_2)) = X_11,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),X_11) )],[refute_0_153,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(identity,X_31)) = X_30,
inference(subst,[],[refute_0_180:[bind(X_11,$fot(X_30)),bind(X_2,$fot(X_31)),bind(X_3,$fot(identity))]]) ).
cnf(refute_0_182,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity))),
inference(subst,[],[refute_0_36:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_183,plain,
double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)) = inverse(X_19),
inference(subst,[],[refute_0_119:[bind(X_13,$fot(X_19))]]) ).
cnf(refute_0_184,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)) != inverse(X_19)
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(inverse(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))) ),[1,0],$fot(inverse(X_19))]]) ).
cnf(refute_0_185,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(inverse(X_19)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)),inverse(X_19)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(inverse(X_19)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_36:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_188,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_189,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_190,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_192,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_187,refute_0_192]) ).
cnf(refute_0_194,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_195,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_196,plain,
( double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_197,plain,
( inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_197]) ).
cnf(refute_0_199,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),identity)
| double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_13),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_13),identity))),bind(Z,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_200,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),identity)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_194,refute_0_200]) ).
cnf(refute_0_202,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(identity)) != inverse(inverse(X_13))
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_203,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_107,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_204:[bind(X_13,$fot(X_3))]]) ).
cnf(refute_0_206,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| inverse(inverse(X_3)) != X_3
| multiply(identity,X_3) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,X_3),X_3) ),[0],$fot(inverse(inverse(X_3)))]]) ).
cnf(refute_0_207,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_193,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(identity,double_divide(identity,inverse(X_19))) = double_divide(identity,inverse(X_19)),
inference(subst,[],[refute_0_208:[bind(X_3,$fot(double_divide(identity,inverse(X_19))))]]) ).
cnf(refute_0_210,plain,
double_divide(X_19,identity) = inverse(X_19),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_19))]]) ).
cnf(refute_0_211,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_19,inverse(identity)))]]) ).
cnf(refute_0_212,plain,
( double_divide(X_19,inverse(identity)) != double_divide(X_19,inverse(identity))
| inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_213,plain,
( inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_213]) ).
cnf(refute_0_215,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) != double_divide(X_19,identity)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(X_19,inverse(identity)))),bind(Y,$fot(double_divide(X_19,identity))),bind(Z,$fot(inverse(X_19)))]]) ).
cnf(refute_0_216,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,identity)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
double_divide(X_19,inverse(identity)) = inverse(X_19),
inference(resolve,[$cnf( $equal(double_divide(X_19,identity),inverse(X_19)) )],[refute_0_210,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,double_divide(X_19,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_19,inverse(identity))))]]) ).
cnf(refute_0_219,plain,
( double_divide(X_19,inverse(identity)) != inverse(X_19)
| double_divide(identity,double_divide(X_19,inverse(identity))) != double_divide(identity,double_divide(X_19,inverse(identity)))
| double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,inverse(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(X_19,inverse(identity))),double_divide(identity,double_divide(X_19,inverse(identity)))) ),[1,1],$fot(inverse(X_19))]]) ).
cnf(refute_0_220,plain,
( double_divide(X_19,inverse(identity)) != inverse(X_19)
| double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,inverse(X_19)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_19,inverse(identity))),double_divide(identity,double_divide(X_19,inverse(identity)))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,inverse(X_19)),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),inverse(X_19)) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),
introduced(tautology,[refl,[$fot(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_223,plain,
( multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))
| double_divide(identity,double_divide(X_19,inverse(identity))) != double_divide(identity,inverse(X_19))
| multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) ),[1,1],$fot(double_divide(identity,inverse(X_19)))]]) ).
cnf(refute_0_224,plain,
( double_divide(identity,double_divide(X_19,inverse(identity))) != double_divide(identity,inverse(X_19))
| multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_19,inverse(identity))),double_divide(identity,inverse(X_19))) )],[refute_0_221,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_227,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity))))
| inverse(identity) != identity
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_228,plain,
( inverse(identity) != identity
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))))),bind(Y,$fot(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))))),bind(Z,$fot(multiply(identity,double_divide(identity,inverse(X_19)))))]]) ).
cnf(refute_0_231,plain,
( multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_19)))) )],[refute_0_225,refute_0_231]) ).
cnf(refute_0_233,plain,
( multiply(identity,double_divide(identity,inverse(X_19))) != double_divide(identity,inverse(X_19))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = double_divide(identity,inverse(X_19)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))))),bind(Y,$fot(multiply(identity,double_divide(identity,inverse(X_19))))),bind(Z,$fot(double_divide(identity,inverse(X_19))))]]) ).
cnf(refute_0_234,plain,
( multiply(identity,double_divide(identity,inverse(X_19))) != double_divide(identity,inverse(X_19))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = double_divide(identity,inverse(X_19)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_19)))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = double_divide(identity,inverse(X_19)),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(X_19))),double_divide(identity,inverse(X_19))) )],[refute_0_209,refute_0_234]) ).
cnf(refute_0_236,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != double_divide(identity,inverse(X_19))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(inverse(X_19))
| double_divide(identity,inverse(X_19)) = inverse(inverse(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(inverse(X_19))) ),[0],$fot(double_divide(identity,inverse(X_19)))]]) ).
cnf(refute_0_237,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(inverse(X_19))
| double_divide(identity,inverse(X_19)) = inverse(inverse(X_19)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),double_divide(identity,inverse(X_19))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
inverse(inverse(X_19)) = X_19,
inference(subst,[],[refute_0_204:[bind(X_13,$fot(X_19))]]) ).
cnf(refute_0_239,plain,
( double_divide(identity,inverse(X_19)) != inverse(inverse(X_19))
| inverse(inverse(X_19)) != X_19
| double_divide(identity,inverse(X_19)) = X_19 ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(identity,inverse(X_19)),X_19) ),[0],$fot(inverse(inverse(X_19)))]]) ).
cnf(refute_0_240,plain,
( double_divide(identity,inverse(X_19)) != inverse(inverse(X_19))
| double_divide(identity,inverse(X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_19)),X_19) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(inverse(X_19))
| double_divide(identity,inverse(X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_19)),inverse(inverse(X_19))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
double_divide(identity,inverse(X_19)) = X_19,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(inverse(X_19))) )],[refute_0_186,refute_0_241]) ).
cnf(refute_0_243,plain,
double_divide(identity,inverse(inverse(X_13))) = inverse(X_13),
inference(subst,[],[refute_0_242:[bind(X_19,$fot(inverse(X_13)))]]) ).
cnf(refute_0_244,plain,
( double_divide(identity,inverse(inverse(X_13))) != inverse(X_13)
| inverse(inverse(X_13)) != X_13
| double_divide(identity,X_13) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(inverse(X_13))),inverse(X_13)) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_245,plain,
( double_divide(identity,inverse(inverse(X_13))) != inverse(X_13)
| double_divide(identity,X_13) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_204,refute_0_244]) ).
cnf(refute_0_246,plain,
double_divide(identity,X_13) = inverse(X_13),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_243,refute_0_245]) ).
cnf(refute_0_247,plain,
double_divide(identity,X_31) = inverse(X_31),
inference(subst,[],[refute_0_246:[bind(X_13,$fot(X_31))]]) ).
cnf(refute_0_248,plain,
( multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(identity,X_31)) != X_30
| double_divide(identity,X_31) != inverse(X_31)
| multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(identity,X_31)),X_30) ),[0,1],$fot(inverse(X_31))]]) ).
cnf(refute_0_249,plain,
( multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(identity,X_31)) != X_30
| multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) = X_30 ),
inference(resolve,[$cnf( $equal(double_divide(identity,X_31),inverse(X_31)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) = X_30,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(identity,X_31)),X_30) )],[refute_0_181,refute_0_249]) ).
cnf(refute_0_251,plain,
double_divide(inverse(X_30),double_divide(identity,X_31)) = double_divide(inverse(X_30),double_divide(identity,X_31)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_30),double_divide(identity,X_31)))]]) ).
cnf(refute_0_252,plain,
( double_divide(identity,X_31) != inverse(X_31)
| double_divide(inverse(X_30),double_divide(identity,X_31)) != double_divide(inverse(X_30),double_divide(identity,X_31))
| double_divide(inverse(X_30),double_divide(identity,X_31)) = double_divide(inverse(X_30),inverse(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(inverse(X_30),double_divide(identity,X_31))) ),[1,1],$fot(inverse(X_31))]]) ).
cnf(refute_0_253,plain,
( double_divide(identity,X_31) != inverse(X_31)
| double_divide(inverse(X_30),double_divide(identity,X_31)) = double_divide(inverse(X_30),inverse(X_31)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(inverse(X_30),double_divide(identity,X_31))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
double_divide(inverse(X_30),double_divide(identity,X_31)) = double_divide(inverse(X_30),inverse(X_31)),
inference(resolve,[$cnf( $equal(double_divide(identity,X_31),inverse(X_31)) )],[refute_0_247,refute_0_253]) ).
cnf(refute_0_255,plain,
multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) = multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)))]]) ).
cnf(refute_0_256,plain,
( multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) != multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31))
| double_divide(inverse(X_30),double_divide(identity,X_31)) != double_divide(inverse(X_30),inverse(X_31))
| multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) = multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)),multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31))) ),[1,0],$fot(double_divide(inverse(X_30),inverse(X_31)))]]) ).
cnf(refute_0_257,plain,
( double_divide(inverse(X_30),double_divide(identity,X_31)) != double_divide(inverse(X_30),inverse(X_31))
| multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) = multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)),multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) = multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_30),double_divide(identity,X_31)),double_divide(inverse(X_30),inverse(X_31))) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
( multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) != X_30
| multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) != multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31))
| multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31)) = X_30 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)),X_30) ),[0],$fot(multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31)))]]) ).
cnf(refute_0_260,plain,
( multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)) != X_30
| multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31)) = X_30 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)),multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
multiply(double_divide(inverse(X_30),inverse(X_31)),inverse(X_31)) = X_30,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_30),double_divide(identity,X_31)),inverse(X_31)),X_30) )],[refute_0_250,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),inverse(inverse(X_13))) = X_33,
inference(subst,[],[refute_0_261:[bind(X_30,$fot(X_33)),bind(X_31,$fot(inverse(X_13)))]]) ).
cnf(refute_0_263,plain,
( multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),inverse(inverse(X_13))) != X_33
| inverse(inverse(X_13)) != X_13
| multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),inverse(inverse(X_13))),X_33) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_264,plain,
( multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),inverse(inverse(X_13))) != X_33
| multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) = X_33 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_204,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) = X_33,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),inverse(inverse(X_13))),X_33) )],[refute_0_262,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(inverse(X_33),inverse(inverse(X_13))) = double_divide(inverse(X_33),inverse(inverse(X_13))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_33),inverse(inverse(X_13))))]]) ).
cnf(refute_0_267,plain,
( double_divide(inverse(X_33),inverse(inverse(X_13))) != double_divide(inverse(X_33),inverse(inverse(X_13)))
| inverse(inverse(X_13)) != X_13
| double_divide(inverse(X_33),inverse(inverse(X_13))) = double_divide(inverse(X_33),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_33),inverse(inverse(X_13))),double_divide(inverse(X_33),inverse(inverse(X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_268,plain,
( inverse(inverse(X_13)) != X_13
| double_divide(inverse(X_33),inverse(inverse(X_13))) = double_divide(inverse(X_33),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_33),inverse(inverse(X_13))),double_divide(inverse(X_33),inverse(inverse(X_13)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
double_divide(inverse(X_33),inverse(inverse(X_13))) = double_divide(inverse(X_33),X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_204,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13))]]) ).
cnf(refute_0_271,plain,
( multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) != multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13)
| double_divide(inverse(X_33),inverse(inverse(X_13))) != double_divide(inverse(X_33),X_13)
| multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_33),X_13),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13)) ),[1,0],$fot(double_divide(inverse(X_33),X_13))]]) ).
cnf(refute_0_272,plain,
( double_divide(inverse(X_33),inverse(inverse(X_13))) != double_divide(inverse(X_33),X_13)
| multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_33),X_13),X_13) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_33),X_13),X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_33),inverse(inverse(X_13))),double_divide(inverse(X_33),X_13)) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
( multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) != X_33
| multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) != multiply(double_divide(inverse(X_33),X_13),X_13)
| multiply(double_divide(inverse(X_33),X_13),X_13) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13),X_33) ),[0],$fot(multiply(double_divide(inverse(X_33),X_13),X_13))]]) ).
cnf(refute_0_275,plain,
( multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13) != X_33
| multiply(double_divide(inverse(X_33),X_13),X_13) = X_33 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_33),X_13),X_13)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(double_divide(inverse(X_33),X_13),X_13) = X_33,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_33),inverse(inverse(X_13))),X_13),X_33) )],[refute_0_265,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(double_divide(inverse(inverse(X_13)),X_35),X_35) = inverse(X_13),
inference(subst,[],[refute_0_276:[bind(X_13,$fot(X_35)),bind(X_33,$fot(inverse(X_13)))]]) ).
cnf(refute_0_278,plain,
( multiply(double_divide(inverse(inverse(X_13)),X_35),X_35) != inverse(X_13)
| inverse(inverse(X_13)) != X_13
| multiply(double_divide(X_13,X_35),X_35) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_35),X_35),inverse(X_13)) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_279,plain,
( multiply(double_divide(inverse(inverse(X_13)),X_35),X_35) != inverse(X_13)
| multiply(double_divide(X_13,X_35),X_35) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_204,refute_0_278]) ).
cnf(refute_0_280,plain,
multiply(double_divide(X_13,X_35),X_35) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_35),X_35),inverse(X_13)) )],[refute_0_277,refute_0_279]) ).
cnf(refute_0_281,plain,
multiply(double_divide(double_divide(X_75,X_35),X_35),X_35) = inverse(double_divide(X_75,X_35)),
inference(subst,[],[refute_0_280:[bind(X_13,$fot(double_divide(X_75,X_35)))]]) ).
cnf(refute_0_282,plain,
inverse(double_divide(identity,X_13)) = multiply(X_13,identity),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_13)),bind(B,$fot(identity))]]) ).
cnf(refute_0_283,plain,
double_divide(double_divide(identity,X_13),identity) = inverse(double_divide(identity,X_13)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_284,plain,
( double_divide(double_divide(identity,X_13),identity) != inverse(double_divide(identity,X_13))
| inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Y,$fot(inverse(double_divide(identity,X_13)))),bind(Z,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_285,plain,
( inverse(double_divide(identity,X_13)) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),inverse(double_divide(identity,X_13))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
double_divide(double_divide(identity,X_13),identity) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_13)),multiply(X_13,identity)) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_13),inverse(identity)))]]) ).
cnf(refute_0_288,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != double_divide(double_divide(identity,X_13),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_289,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),inverse(identity))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = double_divide(double_divide(identity,X_13),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_289]) ).
cnf(refute_0_291,plain,
( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) != double_divide(double_divide(identity,X_13),identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(identity,X_13),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,X_13),identity))),bind(Z,$fot(multiply(X_13,identity)))]]) ).
cnf(refute_0_292,plain,
( double_divide(double_divide(identity,X_13),identity) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),double_divide(double_divide(identity,X_13),identity)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),identity),multiply(X_13,identity)) )],[refute_0_286,refute_0_292]) ).
cnf(refute_0_294,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != multiply(X_13,identity)
| double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
| multiply(X_13,identity) = inverse(inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),inverse(inverse(X_13))) ),[0],$fot(multiply(X_13,identity))]]) ).
cnf(refute_0_295,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
| multiply(X_13,identity) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),multiply(X_13,identity)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
( multiply(X_13,identity) != inverse(inverse(X_13))
| inverse(inverse(X_13)) != X_13
| multiply(X_13,identity) = X_13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,identity),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_297,plain,
( multiply(X_13,identity) != inverse(inverse(X_13))
| multiply(X_13,identity) = X_13 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_204,refute_0_296]) ).
cnf(refute_0_298,plain,
( double_divide(double_divide(identity,X_13),inverse(identity)) != inverse(inverse(X_13))
| multiply(X_13,identity) = X_13 ),
inference(resolve,[$cnf( $equal(multiply(X_13,identity),inverse(inverse(X_13))) )],[refute_0_295,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(X_13,identity) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_130,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity) = double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),
inference(subst,[],[refute_0_299:[bind(X_13,$fot(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))))]]) ).
cnf(refute_0_301,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),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,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_302,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),inverse(double_divide(B,A)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_303,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_65,refute_0_302]) ).
cnf(refute_0_304,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),inverse(double_divide(B,A)))),inverse(identity)),X_11) )],[refute_0_301,refute_0_303]) ).
cnf(refute_0_305,plain,
inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10),
inference(subst,[],[refute_0_65:[bind(A,$fot(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_306,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) = inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))))]]) ).
cnf(refute_0_307,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) != inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))))
| inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_308,plain,
( inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity),inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)))),multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_311,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_312,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_312]) ).
cnf(refute_0_314,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_315,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),identity),multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)) )],[refute_0_309,refute_0_315]) ).
cnf(refute_0_317,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) != multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)
| multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10))]]) ).
cnf(refute_0_318,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)) != X_11
| multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)),multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B)),X_10) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,double_divide(B,A))),multiply(A,B))),inverse(identity)),X_11) )],[refute_0_304,refute_0_318]) ).
cnf(refute_0_320,plain,
multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity) = X_70,
inference(subst,[],[refute_0_319:[bind(A,$fot(X_67)),bind(B,$fot(X_68)),bind(X_10,$fot(identity)),bind(X_11,$fot(X_70))]]) ).
cnf(refute_0_321,plain,
( multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity) != X_70
| multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity) != double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))
| X_70 = double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity),double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))) ),[0],$fot(X_70)]]) ).
cnf(refute_0_322,plain,
( multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity) != double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))
| X_70 = double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity),X_70) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
X_70 = double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),identity),double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))) )],[refute_0_300,refute_0_322]) ).
cnf(refute_0_324,plain,
inverse(double_divide(X_68,X_67)) = multiply(X_67,X_68),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_67)),bind(B,$fot(X_68))]]) ).
cnf(refute_0_325,plain,
double_divide(identity,double_divide(X_68,X_67)) = inverse(double_divide(X_68,X_67)),
inference(subst,[],[refute_0_246:[bind(X_13,$fot(double_divide(X_68,X_67)))]]) ).
cnf(refute_0_326,plain,
( double_divide(identity,double_divide(X_68,X_67)) != inverse(double_divide(X_68,X_67))
| inverse(double_divide(X_68,X_67)) != multiply(X_67,X_68)
| double_divide(identity,double_divide(X_68,X_67)) = multiply(X_67,X_68) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,double_divide(X_68,X_67)))),bind(Y,$fot(inverse(double_divide(X_68,X_67)))),bind(Z,$fot(multiply(X_67,X_68)))]]) ).
cnf(refute_0_327,plain,
( inverse(double_divide(X_68,X_67)) != multiply(X_67,X_68)
| double_divide(identity,double_divide(X_68,X_67)) = multiply(X_67,X_68) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_68,X_67)),inverse(double_divide(X_68,X_67))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
double_divide(identity,double_divide(X_68,X_67)) = multiply(X_67,X_68),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_68,X_67)),multiply(X_67,X_68)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))) = double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),
introduced(tautology,[refl,[$fot(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))))]]) ).
cnf(refute_0_330,plain,
( double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))) != double_divide(X_70,double_divide(identity,double_divide(X_68,X_67)))
| double_divide(identity,double_divide(X_68,X_67)) != multiply(X_67,X_68)
| double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))) = double_divide(X_70,multiply(X_67,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),double_divide(X_70,double_divide(identity,double_divide(X_68,X_67)))) ),[1,1],$fot(multiply(X_67,X_68))]]) ).
cnf(refute_0_331,plain,
( double_divide(identity,double_divide(X_68,X_67)) != multiply(X_67,X_68)
| double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))) = double_divide(X_70,multiply(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),double_divide(X_70,double_divide(identity,double_divide(X_68,X_67)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))) = double_divide(X_70,multiply(X_67,X_68)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_68,X_67)),multiply(X_67,X_68)) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) = double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)))]]) ).
cnf(refute_0_334,plain,
( double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))) != double_divide(X_70,multiply(X_67,X_68))
| double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) != double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))
| double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) = double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))) ),[1,0],$fot(double_divide(X_70,multiply(X_67,X_68)))]]) ).
cnf(refute_0_335,plain,
( double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))) != double_divide(X_70,multiply(X_67,X_68))
| double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) = double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) = double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68)),
inference(resolve,[$cnf( $equal(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),double_divide(X_70,multiply(X_67,X_68))) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
( X_70 != double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))
| double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)) != double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68))
| X_70 = double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_70,double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68))) ),[0],$fot(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)))]]) ).
cnf(refute_0_338,plain,
( X_70 != double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))
| X_70 = double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68)),double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
X_70 = double_divide(double_divide(X_70,multiply(X_67,X_68)),multiply(X_67,X_68)),
inference(resolve,[$cnf( $equal(X_70,double_divide(double_divide(X_70,double_divide(identity,double_divide(X_68,X_67))),multiply(X_67,X_68))) )],[refute_0_323,refute_0_338]) ).
cnf(refute_0_340,plain,
X_73 = double_divide(double_divide(X_73,multiply(identity,X_72)),multiply(identity,X_72)),
inference(subst,[],[refute_0_339:[bind(X_67,$fot(identity)),bind(X_68,$fot(X_72)),bind(X_70,$fot(X_73))]]) ).
cnf(refute_0_341,plain,
multiply(identity,X_72) = X_72,
inference(subst,[],[refute_0_208:[bind(X_3,$fot(X_72))]]) ).
cnf(refute_0_342,plain,
( X_73 != double_divide(double_divide(X_73,multiply(identity,X_72)),multiply(identity,X_72))
| multiply(identity,X_72) != X_72
| X_73 = double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,double_divide(double_divide(X_73,multiply(identity,X_72)),multiply(identity,X_72))) ),[1,1],$fot(X_72)]]) ).
cnf(refute_0_343,plain,
( X_73 != double_divide(double_divide(X_73,multiply(identity,X_72)),multiply(identity,X_72))
| X_73 = double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_72),X_72) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
X_73 = double_divide(double_divide(X_73,multiply(identity,X_72)),X_72),
inference(resolve,[$cnf( $equal(X_73,double_divide(double_divide(X_73,multiply(identity,X_72)),multiply(identity,X_72))) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(X_73,multiply(identity,X_72)) = double_divide(X_73,multiply(identity,X_72)),
introduced(tautology,[refl,[$fot(double_divide(X_73,multiply(identity,X_72)))]]) ).
cnf(refute_0_346,plain,
( multiply(identity,X_72) != X_72
| double_divide(X_73,multiply(identity,X_72)) != double_divide(X_73,multiply(identity,X_72))
| double_divide(X_73,multiply(identity,X_72)) = double_divide(X_73,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_73,multiply(identity,X_72)),double_divide(X_73,multiply(identity,X_72))) ),[1,1],$fot(X_72)]]) ).
cnf(refute_0_347,plain,
( multiply(identity,X_72) != X_72
| double_divide(X_73,multiply(identity,X_72)) = double_divide(X_73,X_72) ),
inference(resolve,[$cnf( $equal(double_divide(X_73,multiply(identity,X_72)),double_divide(X_73,multiply(identity,X_72))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
double_divide(X_73,multiply(identity,X_72)) = double_divide(X_73,X_72),
inference(resolve,[$cnf( $equal(multiply(identity,X_72),X_72) )],[refute_0_341,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) = double_divide(double_divide(X_73,multiply(identity,X_72)),X_72),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_73,multiply(identity,X_72)),X_72))]]) ).
cnf(refute_0_350,plain,
( double_divide(X_73,multiply(identity,X_72)) != double_divide(X_73,X_72)
| double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) != double_divide(double_divide(X_73,multiply(identity,X_72)),X_72)
| double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) = double_divide(double_divide(X_73,X_72),X_72) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_73,multiply(identity,X_72)),X_72),double_divide(double_divide(X_73,multiply(identity,X_72)),X_72)) ),[1,0],$fot(double_divide(X_73,X_72))]]) ).
cnf(refute_0_351,plain,
( double_divide(X_73,multiply(identity,X_72)) != double_divide(X_73,X_72)
| double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) = double_divide(double_divide(X_73,X_72),X_72) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_73,multiply(identity,X_72)),X_72),double_divide(double_divide(X_73,multiply(identity,X_72)),X_72)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) = double_divide(double_divide(X_73,X_72),X_72),
inference(resolve,[$cnf( $equal(double_divide(X_73,multiply(identity,X_72)),double_divide(X_73,X_72)) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( X_73 != double_divide(double_divide(X_73,multiply(identity,X_72)),X_72)
| double_divide(double_divide(X_73,multiply(identity,X_72)),X_72) != double_divide(double_divide(X_73,X_72),X_72)
| X_73 = double_divide(double_divide(X_73,X_72),X_72) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,double_divide(double_divide(X_73,X_72),X_72)) ),[0],$fot(double_divide(double_divide(X_73,multiply(identity,X_72)),X_72))]]) ).
cnf(refute_0_354,plain,
( X_73 != double_divide(double_divide(X_73,multiply(identity,X_72)),X_72)
| X_73 = double_divide(double_divide(X_73,X_72),X_72) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_73,multiply(identity,X_72)),X_72),double_divide(double_divide(X_73,X_72),X_72)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
X_73 = double_divide(double_divide(X_73,X_72),X_72),
inference(resolve,[$cnf( $equal(X_73,double_divide(double_divide(X_73,multiply(identity,X_72)),X_72)) )],[refute_0_344,refute_0_354]) ).
cnf(refute_0_356,plain,
X_75 = double_divide(double_divide(X_75,X_35),X_35),
inference(subst,[],[refute_0_355:[bind(X_72,$fot(X_35)),bind(X_73,$fot(X_75))]]) ).
cnf(refute_0_357,plain,
( X_75 != double_divide(double_divide(X_75,X_35),X_35)
| double_divide(double_divide(X_75,X_35),X_35) = X_75 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_75)),bind(Y,$fot(double_divide(double_divide(X_75,X_35),X_35)))]]) ).
cnf(refute_0_358,plain,
double_divide(double_divide(X_75,X_35),X_35) = X_75,
inference(resolve,[$cnf( $equal(X_75,double_divide(double_divide(X_75,X_35),X_35)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
( multiply(double_divide(double_divide(X_75,X_35),X_35),X_35) != inverse(double_divide(X_75,X_35))
| double_divide(double_divide(X_75,X_35),X_35) != X_75
| multiply(X_75,X_35) = inverse(double_divide(X_75,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_75,X_35),X_35),X_35),inverse(double_divide(X_75,X_35))) ),[0,0],$fot(X_75)]]) ).
cnf(refute_0_360,plain,
( multiply(double_divide(double_divide(X_75,X_35),X_35),X_35) != inverse(double_divide(X_75,X_35))
| multiply(X_75,X_35) = inverse(double_divide(X_75,X_35)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_75,X_35),X_35),X_75) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
multiply(X_75,X_35) = inverse(double_divide(X_75,X_35)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_75,X_35),X_35),X_35),inverse(double_divide(X_75,X_35))) )],[refute_0_281,refute_0_360]) ).
cnf(refute_0_362,plain,
inverse(double_divide(X_75,X_35)) = multiply(X_35,X_75),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_35)),bind(B,$fot(X_75))]]) ).
cnf(refute_0_363,plain,
( multiply(X_75,X_35) != inverse(double_divide(X_75,X_35))
| inverse(double_divide(X_75,X_35)) != multiply(X_35,X_75)
| multiply(X_75,X_35) = multiply(X_35,X_75) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_75,X_35),multiply(X_35,X_75)) ),[0],$fot(inverse(double_divide(X_75,X_35)))]]) ).
cnf(refute_0_364,plain,
( multiply(X_75,X_35) != inverse(double_divide(X_75,X_35))
| multiply(X_75,X_35) = multiply(X_35,X_75) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_75,X_35)),multiply(X_35,X_75)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(X_75,X_35) = multiply(X_35,X_75),
inference(resolve,[$cnf( $equal(multiply(X_75,X_35),inverse(double_divide(X_75,X_35))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( multiply(X_75,X_35) != multiply(X_35,X_75)
| multiply(X_35,X_75) = multiply(X_75,X_35) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_75,X_35))),bind(Y,$fot(multiply(X_35,X_75)))]]) ).
cnf(refute_0_367,plain,
multiply(X_35,X_75) = multiply(X_75,X_35),
inference(resolve,[$cnf( $equal(multiply(X_75,X_35),multiply(X_35,X_75)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_367:[bind(X_35,$fot(b)),bind(X_75,$fot(a))]]) ).
cnf(refute_0_369,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_370,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_370,prove_these_axioms_4]) ).
cnf(refute_0_372,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_373,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_372,refute_0_371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP572-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 09:53:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.17/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43
% 0.17/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.17/0.50
%------------------------------------------------------------------------------