TSTP Solution File: GRP571-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:26 EDT 2022
% Result : Unsatisfiable 0.38s 0.62s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 117
% Number of leaves : 268
% Syntax : Number of clauses : 1087 ( 543 unt; 0 nHn; 537 RR)
% Number of literals : 1880 (1879 equ; 797 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 2470 ( 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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_6,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(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( $equal(multiply(double_divide(inverse(X_11),inverse(multiply(X_2,X_3))),double_divide(X_3,X_2)),X_11) )],[refute_0_153,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(X_30,identity)) = X_28,
inference(subst,[],[refute_0_180:[bind(X_11,$fot(X_28)),bind(X_2,$fot(identity)),bind(X_3,$fot(X_30))]]) ).
cnf(refute_0_182,plain,
inverse(X_30) = double_divide(X_30,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_30))]]) ).
cnf(refute_0_183,plain,
( inverse(X_30) != double_divide(X_30,identity)
| double_divide(X_30,identity) = inverse(X_30) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_30))),bind(Y,$fot(double_divide(X_30,identity)))]]) ).
cnf(refute_0_184,plain,
double_divide(X_30,identity) = inverse(X_30),
inference(resolve,[$cnf( $equal(inverse(X_30),double_divide(X_30,identity)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(X_30,identity)) != X_28
| double_divide(X_30,identity) != inverse(X_30)
| multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(X_30,identity)),X_28) ),[0,1],$fot(inverse(X_30))]]) ).
cnf(refute_0_186,plain,
( multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(X_30,identity)) != X_28
| multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) = X_28 ),
inference(resolve,[$cnf( $equal(double_divide(X_30,identity),inverse(X_30)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) = X_28,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(X_30,identity)),X_28) )],[refute_0_181,refute_0_186]) ).
cnf(refute_0_188,plain,
double_divide(inverse(X_28),double_divide(X_30,identity)) = double_divide(inverse(X_28),double_divide(X_30,identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_28),double_divide(X_30,identity)))]]) ).
cnf(refute_0_189,plain,
( double_divide(X_30,identity) != inverse(X_30)
| double_divide(inverse(X_28),double_divide(X_30,identity)) != double_divide(inverse(X_28),double_divide(X_30,identity))
| double_divide(inverse(X_28),double_divide(X_30,identity)) = double_divide(inverse(X_28),inverse(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(inverse(X_28),double_divide(X_30,identity))) ),[1,1],$fot(inverse(X_30))]]) ).
cnf(refute_0_190,plain,
( double_divide(X_30,identity) != inverse(X_30)
| double_divide(inverse(X_28),double_divide(X_30,identity)) = double_divide(inverse(X_28),inverse(X_30)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(inverse(X_28),double_divide(X_30,identity))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
double_divide(inverse(X_28),double_divide(X_30,identity)) = double_divide(inverse(X_28),inverse(X_30)),
inference(resolve,[$cnf( $equal(double_divide(X_30,identity),inverse(X_30)) )],[refute_0_184,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) = multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)))]]) ).
cnf(refute_0_193,plain,
( multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) != multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30))
| double_divide(inverse(X_28),double_divide(X_30,identity)) != double_divide(inverse(X_28),inverse(X_30))
| multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) = multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)),multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30))) ),[1,0],$fot(double_divide(inverse(X_28),inverse(X_30)))]]) ).
cnf(refute_0_194,plain,
( double_divide(inverse(X_28),double_divide(X_30,identity)) != double_divide(inverse(X_28),inverse(X_30))
| multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) = multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)),multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) = multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_28),double_divide(X_30,identity)),double_divide(inverse(X_28),inverse(X_30))) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
( multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) != X_28
| multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) != multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30))
| multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30)) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)),X_28) ),[0],$fot(multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30)))]]) ).
cnf(refute_0_197,plain,
( multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)) != X_28
| multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30)) = X_28 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)),multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(double_divide(inverse(X_28),inverse(X_30)),inverse(X_30)) = X_28,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),double_divide(X_30,identity)),inverse(X_30)),X_28) )],[refute_0_187,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),inverse(inverse(X_13))) = X_31,
inference(subst,[],[refute_0_198:[bind(X_28,$fot(X_31)),bind(X_30,$fot(inverse(X_13)))]]) ).
cnf(refute_0_200,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_201,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_202,plain,
( double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_203,plain,
( inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_203]) ).
cnf(refute_0_205,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),identity)
| double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(subst,[],[refute_0_24:[bind(X,$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_206,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( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),identity)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_200,refute_0_206]) ).
cnf(refute_0_208,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(identity)) != inverse(inverse(X_13))
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_209,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_107,refute_0_209]) ).
cnf(refute_0_211,plain,
( multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),inverse(inverse(X_13))) != X_31
| inverse(inverse(X_13)) != X_13
| multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) = X_31 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),inverse(inverse(X_13))),X_31) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_212,plain,
( multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),inverse(inverse(X_13))) != X_31
| multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) = X_31 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) = X_31,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),inverse(inverse(X_13))),X_31) )],[refute_0_199,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(inverse(X_31),inverse(inverse(X_13))) = double_divide(inverse(X_31),inverse(inverse(X_13))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_31),inverse(inverse(X_13))))]]) ).
cnf(refute_0_215,plain,
( double_divide(inverse(X_31),inverse(inverse(X_13))) != double_divide(inverse(X_31),inverse(inverse(X_13)))
| inverse(inverse(X_13)) != X_13
| double_divide(inverse(X_31),inverse(inverse(X_13))) = double_divide(inverse(X_31),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_31),inverse(inverse(X_13))),double_divide(inverse(X_31),inverse(inverse(X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_216,plain,
( inverse(inverse(X_13)) != X_13
| double_divide(inverse(X_31),inverse(inverse(X_13))) = double_divide(inverse(X_31),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_31),inverse(inverse(X_13))),double_divide(inverse(X_31),inverse(inverse(X_13)))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
double_divide(inverse(X_31),inverse(inverse(X_13))) = double_divide(inverse(X_31),X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13))]]) ).
cnf(refute_0_219,plain,
( multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) != multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13)
| double_divide(inverse(X_31),inverse(inverse(X_13))) != double_divide(inverse(X_31),X_13)
| multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_31),X_13),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13)) ),[1,0],$fot(double_divide(inverse(X_31),X_13))]]) ).
cnf(refute_0_220,plain,
( double_divide(inverse(X_31),inverse(inverse(X_13))) != double_divide(inverse(X_31),X_13)
| multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_31),X_13),X_13) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) = multiply(double_divide(inverse(X_31),X_13),X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_31),inverse(inverse(X_13))),double_divide(inverse(X_31),X_13)) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) != X_31
| multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) != multiply(double_divide(inverse(X_31),X_13),X_13)
| multiply(double_divide(inverse(X_31),X_13),X_13) = X_31 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13),X_31) ),[0],$fot(multiply(double_divide(inverse(X_31),X_13),X_13))]]) ).
cnf(refute_0_223,plain,
( multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13) != X_31
| multiply(double_divide(inverse(X_31),X_13),X_13) = X_31 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13),multiply(double_divide(inverse(X_31),X_13),X_13)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
multiply(double_divide(inverse(X_31),X_13),X_13) = X_31,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_31),inverse(inverse(X_13))),X_13),X_31) )],[refute_0_213,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(double_divide(inverse(inverse(X_13)),X_33),X_33) = inverse(X_13),
inference(subst,[],[refute_0_224:[bind(X_13,$fot(X_33)),bind(X_31,$fot(inverse(X_13)))]]) ).
cnf(refute_0_226,plain,
( multiply(double_divide(inverse(inverse(X_13)),X_33),X_33) != inverse(X_13)
| inverse(inverse(X_13)) != X_13
| multiply(double_divide(X_13,X_33),X_33) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_33),X_33),inverse(X_13)) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_227,plain,
( multiply(double_divide(inverse(inverse(X_13)),X_33),X_33) != inverse(X_13)
| multiply(double_divide(X_13,X_33),X_33) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(double_divide(X_13,X_33),X_33) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_13)),X_33),X_33),inverse(X_13)) )],[refute_0_225,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(double_divide(double_divide(X_92,X_33),X_33),X_33) = inverse(double_divide(X_92,X_33)),
inference(subst,[],[refute_0_228:[bind(X_13,$fot(double_divide(X_92,X_33)))]]) ).
cnf(refute_0_230,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_231,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,$fot(X_19))]]) ).
cnf(refute_0_232,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)) != inverse(X_19)
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(inverse(X_19)) ),
introduced(tautology,[equality,[$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_233,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( $equal(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)),inverse(X_19)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(inverse(X_19)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_36:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_236,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_237,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_238,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_240,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_235,refute_0_240]) ).
cnf(refute_0_242,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_210:[bind(X_13,$fot(X_3))]]) ).
cnf(refute_0_243,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_244,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(identity,double_divide(identity,inverse(X_19))) = double_divide(identity,inverse(X_19)),
inference(subst,[],[refute_0_245:[bind(X_3,$fot(double_divide(identity,inverse(X_19))))]]) ).
cnf(refute_0_247,plain,
double_divide(X_19,identity) = inverse(X_19),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_19))]]) ).
cnf(refute_0_248,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_19,inverse(identity)))]]) ).
cnf(refute_0_249,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_250,plain,
( inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_250]) ).
cnf(refute_0_252,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) != double_divide(X_19,identity)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(X_19,inverse(identity)))),bind(Y,$fot(double_divide(X_19,identity))),bind(Z,$fot(inverse(X_19)))]]) ).
cnf(refute_0_253,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,identity)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
double_divide(X_19,inverse(identity)) = inverse(X_19),
inference(resolve,[$cnf( $equal(double_divide(X_19,identity),inverse(X_19)) )],[refute_0_247,refute_0_253]) ).
cnf(refute_0_255,plain,
double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,double_divide(X_19,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_19,inverse(identity))))]]) ).
cnf(refute_0_256,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_257,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( $equal(double_divide(identity,double_divide(X_19,inverse(identity))),double_divide(identity,double_divide(X_19,inverse(identity)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,inverse(X_19)),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),inverse(X_19)) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),
introduced(tautology,[refl,[$fot(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_260,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_261,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( $equal(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_19,inverse(identity))),double_divide(identity,inverse(X_19))) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_264,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_265,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( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_265]) ).
cnf(refute_0_267,plain,
( multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))) ),
inference(subst,[],[refute_0_24:[bind(X,$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_268,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( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_19)))) )],[refute_0_262,refute_0_268]) ).
cnf(refute_0_270,plain,
( multiply(identity,double_divide(identity,inverse(X_19))) != double_divide(identity,inverse(X_19))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = double_divide(identity,inverse(X_19)) ),
inference(subst,[],[refute_0_24:[bind(X,$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_271,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( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_19)))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = double_divide(identity,inverse(X_19)),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(X_19))),double_divide(identity,inverse(X_19))) )],[refute_0_246,refute_0_271]) ).
cnf(refute_0_273,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != double_divide(identity,inverse(X_19))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(inverse(X_19))
| double_divide(identity,inverse(X_19)) = inverse(inverse(X_19)) ),
introduced(tautology,[equality,[$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_274,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( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),double_divide(identity,inverse(X_19))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
inverse(inverse(X_19)) = X_19,
inference(subst,[],[refute_0_210:[bind(X_13,$fot(X_19))]]) ).
cnf(refute_0_276,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_277,plain,
( double_divide(identity,inverse(X_19)) != inverse(inverse(X_19))
| double_divide(identity,inverse(X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_19)),X_19) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(inverse(X_19))
| double_divide(identity,inverse(X_19)) = X_19 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_19)),inverse(inverse(X_19))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
double_divide(identity,inverse(X_19)) = X_19,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(inverse(X_19))) )],[refute_0_234,refute_0_278]) ).
cnf(refute_0_280,plain,
double_divide(identity,inverse(inverse(X_13))) = inverse(X_13),
inference(subst,[],[refute_0_279:[bind(X_19,$fot(inverse(X_13)))]]) ).
cnf(refute_0_281,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_282,plain,
( double_divide(identity,inverse(inverse(X_13))) != inverse(X_13)
| double_divide(identity,X_13) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_281]) ).
cnf(refute_0_283,plain,
double_divide(identity,X_13) = inverse(X_13),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_280,refute_0_282]) ).
cnf(refute_0_284,plain,
double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))) = inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))),
inference(subst,[],[refute_0_283:[bind(X_13,$fot(multiply(X_89,multiply(double_divide(identity,X_89),X_88))))]]) ).
cnf(refute_0_285,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
inference(subst,[],[refute_0_115:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))))]]) ).
cnf(refute_0_286,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) != B
| double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[0,0,1,0],$fot(B)]]) ).
cnf(refute_0_287,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),B) )],[refute_0_30,refute_0_286]) ).
cnf(refute_0_288,plain,
double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_285,refute_0_287]) ).
cnf(refute_0_289,plain,
double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) = inverse(B),
inference(subst,[],[refute_0_119:[bind(X_13,$fot(B))]]) ).
cnf(refute_0_290,plain,
( double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != inverse(B)
| inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[0],$fot(inverse(B))]]) ).
cnf(refute_0_291,plain,
( double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),inverse(B)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
inverse(B) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(B,inverse(identity))),inverse(identity)),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
inverse(double_divide(B,double_divide(A,C))) = multiply(double_divide(A,C),B),
inference(subst,[],[refute_0_65:[bind(A,$fot(double_divide(A,C)))]]) ).
cnf(refute_0_294,plain,
multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,inverse(double_divide(B,double_divide(A,C)))),
introduced(tautology,[refl,[$fot(multiply(C,inverse(double_divide(B,double_divide(A,C)))))]]) ).
cnf(refute_0_295,plain,
( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,inverse(double_divide(B,double_divide(A,C))))
| inverse(double_divide(B,double_divide(A,C))) != multiply(double_divide(A,C),B)
| multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,inverse(double_divide(B,double_divide(A,C))))) ),[1,1],$fot(multiply(double_divide(A,C),B))]]) ).
cnf(refute_0_296,plain,
( inverse(double_divide(B,double_divide(A,C))) != multiply(double_divide(A,C),B)
| multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)) ),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,inverse(double_divide(B,double_divide(A,C))))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(C,inverse(double_divide(B,double_divide(A,C)))) = multiply(C,multiply(double_divide(A,C),B)),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,double_divide(A,C))),multiply(double_divide(A,C),B)) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)) = B,
inference(subst,[],[refute_0_30:[bind(A,$fot(inverse(X_15))),bind(C,$fot(inverse(identity)))]]) ).
cnf(refute_0_299,plain,
double_divide(inverse(X_15),inverse(identity)) = X_15,
inference(subst,[],[refute_0_107:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_300,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)) != B
| double_divide(inverse(X_15),inverse(identity)) != X_15
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)),B) ),[0,0,1,0,1],$fot(X_15)]]) ).
cnf(refute_0_301,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)) != B
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),inverse(identity)),X_15) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,double_divide(inverse(X_15),inverse(identity))),inverse(inverse(identity)))),inverse(identity)),B) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
double_divide(double_divide(B,X_15),inverse(inverse(identity))) = double_divide(double_divide(B,X_15),inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,X_15),inverse(inverse(identity))))]]) ).
cnf(refute_0_304,plain,
( double_divide(double_divide(B,X_15),inverse(inverse(identity))) != double_divide(double_divide(B,X_15),inverse(inverse(identity)))
| inverse(inverse(identity)) != inverse(identity)
| double_divide(double_divide(B,X_15),inverse(inverse(identity))) = double_divide(double_divide(B,X_15),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,X_15),inverse(inverse(identity))),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_305,plain,
( inverse(inverse(identity)) != inverse(identity)
| double_divide(double_divide(B,X_15),inverse(inverse(identity))) = double_divide(double_divide(B,X_15),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),inverse(inverse(identity))),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(double_divide(B,X_15),inverse(inverse(identity))) = double_divide(double_divide(B,X_15),inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_134,refute_0_305]) ).
cnf(refute_0_307,plain,
double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))))]]) ).
cnf(refute_0_308,plain,
( double_divide(double_divide(B,X_15),inverse(inverse(identity))) != double_divide(double_divide(B,X_15),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) != double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity))))
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity))))) ),[1,1],$fot(double_divide(double_divide(B,X_15),inverse(identity)))]]) ).
cnf(refute_0_309,plain,
( double_divide(double_divide(B,X_15),inverse(inverse(identity))) != double_divide(double_divide(B,X_15),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity))))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) = double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),inverse(inverse(identity))),double_divide(double_divide(B,X_15),inverse(identity))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)))]]) ).
cnf(refute_0_312,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) != double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) != double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity)))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))))]]) ).
cnf(refute_0_313,plain,
( double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))) != double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity)))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity)))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) != B
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) != double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)),B) ),[0],$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_316,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)) != B
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(inverse(identity)))),inverse(identity)),B) )],[refute_0_302,refute_0_316]) ).
cnf(refute_0_318,plain,
inverse(double_divide(inverse(X_15),multiply(X_15,B))) = multiply(multiply(X_15,B),inverse(X_15)),
inference(subst,[],[refute_0_65:[bind(A,$fot(multiply(X_15,B))),bind(B,$fot(inverse(X_15)))]]) ).
cnf(refute_0_319,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) = inverse(double_divide(inverse(X_15),multiply(X_15,B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(inverse(X_15),multiply(X_15,B))))]]) ).
cnf(refute_0_320,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) != inverse(double_divide(inverse(X_15),multiply(X_15,B)))
| inverse(double_divide(inverse(X_15),multiply(X_15,B))) != multiply(multiply(X_15,B),inverse(X_15))
| double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) = multiply(multiply(X_15,B),inverse(X_15)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity))),bind(Y,$fot(inverse(double_divide(inverse(X_15),multiply(X_15,B))))),bind(Z,$fot(multiply(multiply(X_15,B),inverse(X_15))))]]) ).
cnf(refute_0_321,plain,
( inverse(double_divide(inverse(X_15),multiply(X_15,B))) != multiply(multiply(X_15,B),inverse(X_15))
| double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) = multiply(multiply(X_15,B),inverse(X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity),inverse(double_divide(inverse(X_15),multiply(X_15,B)))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) = multiply(multiply(X_15,B),inverse(X_15)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_15),multiply(X_15,B))),multiply(multiply(X_15,B),inverse(X_15))) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)))]]) ).
cnf(refute_0_324,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_325,plain,
( inverse(identity) != identity
| double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_325]) ).
cnf(refute_0_327,plain,
inverse(double_divide(B,X_15)) = multiply(X_15,B),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_15))]]) ).
cnf(refute_0_328,plain,
double_divide(double_divide(B,X_15),identity) = inverse(double_divide(B,X_15)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,X_15)))]]) ).
cnf(refute_0_329,plain,
( double_divide(double_divide(B,X_15),identity) != inverse(double_divide(B,X_15))
| inverse(double_divide(B,X_15)) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),identity) = multiply(X_15,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(B,X_15),identity))),bind(Y,$fot(inverse(double_divide(B,X_15)))),bind(Z,$fot(multiply(X_15,B)))]]) ).
cnf(refute_0_330,plain,
( inverse(double_divide(B,X_15)) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),identity) = multiply(X_15,B) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),identity),inverse(double_divide(B,X_15))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
double_divide(double_divide(B,X_15),identity) = multiply(X_15,B),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,X_15)),multiply(X_15,B)) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
double_divide(double_divide(B,X_15),inverse(identity)) = double_divide(double_divide(B,X_15),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,X_15),inverse(identity)))]]) ).
cnf(refute_0_333,plain,
( double_divide(double_divide(B,X_15),inverse(identity)) != double_divide(double_divide(B,X_15),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(B,X_15),inverse(identity)) = double_divide(double_divide(B,X_15),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,X_15),inverse(identity)),double_divide(double_divide(B,X_15),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_334,plain,
( inverse(identity) != identity
| double_divide(double_divide(B,X_15),inverse(identity)) = double_divide(double_divide(B,X_15),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),inverse(identity)),double_divide(double_divide(B,X_15),inverse(identity))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
double_divide(double_divide(B,X_15),inverse(identity)) = double_divide(double_divide(B,X_15),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_334]) ).
cnf(refute_0_336,plain,
( double_divide(double_divide(B,X_15),identity) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),inverse(identity)) != double_divide(double_divide(B,X_15),identity)
| double_divide(double_divide(B,X_15),inverse(identity)) = multiply(X_15,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(B,X_15),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(B,X_15),identity))),bind(Z,$fot(multiply(X_15,B)))]]) ).
cnf(refute_0_337,plain,
( double_divide(double_divide(B,X_15),identity) != multiply(X_15,B)
| double_divide(double_divide(B,X_15),inverse(identity)) = multiply(X_15,B) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),inverse(identity)),double_divide(double_divide(B,X_15),identity)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
double_divide(double_divide(B,X_15),inverse(identity)) = multiply(X_15,B),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),identity),multiply(X_15,B)) )],[refute_0_331,refute_0_337]) ).
cnf(refute_0_339,plain,
double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) = double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))))]]) ).
cnf(refute_0_340,plain,
( double_divide(double_divide(B,X_15),inverse(identity)) != multiply(X_15,B)
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) != double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity)))
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) = double_divide(inverse(X_15),multiply(X_15,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity)))) ),[1,1],$fot(multiply(X_15,B))]]) ).
cnf(refute_0_341,plain,
( double_divide(double_divide(B,X_15),inverse(identity)) != multiply(X_15,B)
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) = double_divide(inverse(X_15),multiply(X_15,B)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity)))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) = double_divide(inverse(X_15),multiply(X_15,B)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,X_15),inverse(identity)),multiply(X_15,B)) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_344,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) != double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity))
| double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) != double_divide(inverse(X_15),multiply(X_15,B))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_15),multiply(X_15,B)))]]) ).
cnf(refute_0_345,plain,
( double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))) != double_divide(inverse(X_15),multiply(X_15,B))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),double_divide(inverse(X_15),multiply(X_15,B))) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity)
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity)))]]) ).
cnf(refute_0_348,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity)
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity)) )],[refute_0_326,refute_0_348]) ).
cnf(refute_0_350,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) != multiply(multiply(X_15,B),inverse(X_15))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) != double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity)
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = multiply(multiply(X_15,B),inverse(X_15)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity))),bind(Z,$fot(multiply(multiply(X_15,B),inverse(X_15))))]]) ).
cnf(refute_0_351,plain,
( double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity) != multiply(multiply(X_15,B),inverse(X_15))
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = multiply(multiply(X_15,B),inverse(X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) = multiply(multiply(X_15,B),inverse(X_15)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),multiply(X_15,B)),identity),multiply(multiply(X_15,B),inverse(X_15))) )],[refute_0_322,refute_0_351]) ).
cnf(refute_0_353,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) != B
| double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) != multiply(multiply(X_15,B),inverse(X_15))
| multiply(multiply(X_15,B),inverse(X_15)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),B) ),[0],$fot(multiply(multiply(X_15,B),inverse(X_15)))]]) ).
cnf(refute_0_354,plain,
( double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)) != B
| multiply(multiply(X_15,B),inverse(X_15)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),multiply(multiply(X_15,B),inverse(X_15))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(multiply(X_15,B),inverse(X_15)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_15),double_divide(double_divide(B,X_15),inverse(identity))),inverse(identity)),B) )],[refute_0_317,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(multiply(X_60,double_divide(X_60,X_45)),inverse(X_60)) = double_divide(X_60,X_45),
inference(subst,[],[refute_0_355:[bind(B,$fot(double_divide(X_60,X_45))),bind(X_15,$fot(X_60))]]) ).
cnf(refute_0_357,plain,
multiply(double_divide(X_13,double_divide(inverse(X_44),X_13)),double_divide(inverse(X_44),X_13)) = inverse(X_13),
inference(subst,[],[refute_0_228:[bind(X_33,$fot(double_divide(inverse(X_44),X_13)))]]) ).
cnf(refute_0_358,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),
inference(subst,[],[refute_0_115:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))))]]) ).
cnf(refute_0_359,plain,
( double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) ),[0,0,1,0],$fot(X_11)]]) ).
cnf(refute_0_360,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),X_11) )],[refute_0_92,refute_0_359]) ).
cnf(refute_0_361,plain,
double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) )],[refute_0_358,refute_0_360]) ).
cnf(refute_0_362,plain,
double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = inverse(X_11),
inference(subst,[],[refute_0_119:[bind(X_13,$fot(X_11))]]) ).
cnf(refute_0_363,plain,
( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != inverse(X_11)
| inverse(X_11) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) ),[0],$fot(inverse(X_11))]]) ).
cnf(refute_0_364,plain,
( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| inverse(X_11) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),inverse(X_11)) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
inverse(X_11) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_210:[bind(X_13,$fot(X_10))]]) ).
cnf(refute_0_367,plain,
double_divide(inverse(X_11),inverse(inverse(X_10))) = double_divide(inverse(X_11),inverse(inverse(X_10))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(inverse(X_10))))]]) ).
cnf(refute_0_368,plain,
( double_divide(inverse(X_11),inverse(inverse(X_10))) != double_divide(inverse(X_11),inverse(inverse(X_10)))
| inverse(inverse(X_10)) != X_10
| double_divide(inverse(X_11),inverse(inverse(X_10))) = double_divide(inverse(X_11),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(inverse(X_10))),double_divide(inverse(X_11),inverse(inverse(X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_369,plain,
( inverse(inverse(X_10)) != X_10
| double_divide(inverse(X_11),inverse(inverse(X_10))) = double_divide(inverse(X_11),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(inverse(X_10))),double_divide(inverse(X_11),inverse(inverse(X_10)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
double_divide(inverse(X_11),inverse(inverse(X_10))) = double_divide(inverse(X_11),X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))))]]) ).
cnf(refute_0_372,plain,
( double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| double_divide(inverse(X_11),inverse(inverse(X_10))) != double_divide(inverse(X_11),X_10)
| double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) ),[1,1],$fot(double_divide(inverse(X_11),X_10))]]) ).
cnf(refute_0_373,plain,
( double_divide(inverse(X_11),inverse(inverse(X_10))) != double_divide(inverse(X_11),X_10)
| double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) = double_divide(X_10,double_divide(inverse(X_11),X_10)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(inverse(X_10))),double_divide(inverse(X_11),X_10)) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))) != double_divide(X_10,double_divide(inverse(X_11),X_10))
| inverse(X_11) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| inverse(X_11) = double_divide(X_10,double_divide(inverse(X_11),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_11),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) ),[1],$fot(double_divide(X_10,double_divide(inverse(X_11),X_10)))]]) ).
cnf(refute_0_376,plain,
( inverse(X_11) != double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))
| inverse(X_11) = double_divide(X_10,double_divide(inverse(X_11),X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10)))),double_divide(X_10,double_divide(inverse(X_11),X_10))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
inverse(X_11) = double_divide(X_10,double_divide(inverse(X_11),X_10)),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_10,double_divide(inverse(X_11),inverse(inverse(X_10))))) )],[refute_0_365,refute_0_376]) ).
cnf(refute_0_378,plain,
inverse(X_44) = double_divide(X_13,double_divide(inverse(X_44),X_13)),
inference(subst,[],[refute_0_377:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_44))]]) ).
cnf(refute_0_379,plain,
( inverse(X_44) != double_divide(X_13,double_divide(inverse(X_44),X_13))
| double_divide(X_13,double_divide(inverse(X_44),X_13)) = inverse(X_44) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_44))),bind(Y,$fot(double_divide(X_13,double_divide(inverse(X_44),X_13))))]]) ).
cnf(refute_0_380,plain,
double_divide(X_13,double_divide(inverse(X_44),X_13)) = inverse(X_44),
inference(resolve,[$cnf( $equal(inverse(X_44),double_divide(X_13,double_divide(inverse(X_44),X_13))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( multiply(double_divide(X_13,double_divide(inverse(X_44),X_13)),double_divide(inverse(X_44),X_13)) != inverse(X_13)
| double_divide(X_13,double_divide(inverse(X_44),X_13)) != inverse(X_44)
| multiply(inverse(X_44),double_divide(inverse(X_44),X_13)) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,double_divide(inverse(X_44),X_13)),double_divide(inverse(X_44),X_13)),inverse(X_13)) ),[0,0],$fot(inverse(X_44))]]) ).
cnf(refute_0_382,plain,
( multiply(double_divide(X_13,double_divide(inverse(X_44),X_13)),double_divide(inverse(X_44),X_13)) != inverse(X_13)
| multiply(inverse(X_44),double_divide(inverse(X_44),X_13)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(inverse(X_44),X_13)),inverse(X_44)) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(inverse(X_44),double_divide(inverse(X_44),X_13)) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,double_divide(inverse(X_44),X_13)),double_divide(inverse(X_44),X_13)),inverse(X_13)) )],[refute_0_357,refute_0_382]) ).
cnf(refute_0_384,plain,
multiply(inverse(inverse(X_13)),double_divide(inverse(inverse(X_13)),X_45)) = inverse(X_45),
inference(subst,[],[refute_0_383:[bind(X_13,$fot(X_45)),bind(X_44,$fot(inverse(X_13)))]]) ).
cnf(refute_0_385,plain,
( multiply(inverse(inverse(X_13)),double_divide(inverse(inverse(X_13)),X_45)) != inverse(X_45)
| inverse(inverse(X_13)) != X_13
| multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),double_divide(inverse(inverse(X_13)),X_45)),inverse(X_45)) ),[0,1,0],$fot(X_13)]]) ).
cnf(refute_0_386,plain,
( multiply(inverse(inverse(X_13)),double_divide(inverse(inverse(X_13)),X_45)) != inverse(X_45)
| multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) = inverse(X_45),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),double_divide(inverse(inverse(X_13)),X_45)),inverse(X_45)) )],[refute_0_384,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) = multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)))]]) ).
cnf(refute_0_389,plain,
( multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) != multiply(inverse(inverse(X_13)),double_divide(X_13,X_45))
| inverse(inverse(X_13)) != X_13
| multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) = multiply(X_13,double_divide(X_13,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)),multiply(inverse(inverse(X_13)),double_divide(X_13,X_45))) ),[1,0],$fot(X_13)]]) ).
cnf(refute_0_390,plain,
( inverse(inverse(X_13)) != X_13
| multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) = multiply(X_13,double_divide(X_13,X_45)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)),multiply(inverse(inverse(X_13)),double_divide(X_13,X_45))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) = multiply(X_13,double_divide(X_13,X_45)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_390]) ).
cnf(refute_0_392,plain,
( multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) != multiply(X_13,double_divide(X_13,X_45))
| multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) != inverse(X_45)
| multiply(X_13,double_divide(X_13,X_45)) = inverse(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)),inverse(X_45)) ),[0],$fot(multiply(X_13,double_divide(X_13,X_45)))]]) ).
cnf(refute_0_393,plain,
( multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)) != inverse(X_45)
| multiply(X_13,double_divide(X_13,X_45)) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)),multiply(X_13,double_divide(X_13,X_45))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(X_13,double_divide(X_13,X_45)) = inverse(X_45),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),double_divide(X_13,X_45)),inverse(X_45)) )],[refute_0_387,refute_0_393]) ).
cnf(refute_0_395,plain,
multiply(X_60,double_divide(X_60,X_45)) = inverse(X_45),
inference(subst,[],[refute_0_394:[bind(X_13,$fot(X_60))]]) ).
cnf(refute_0_396,plain,
( multiply(X_60,double_divide(X_60,X_45)) != inverse(X_45)
| multiply(multiply(X_60,double_divide(X_60,X_45)),inverse(X_60)) != double_divide(X_60,X_45)
| multiply(inverse(X_45),inverse(X_60)) = double_divide(X_60,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_60,double_divide(X_60,X_45)),inverse(X_60)),double_divide(X_60,X_45)) ),[0,0],$fot(inverse(X_45))]]) ).
cnf(refute_0_397,plain,
( multiply(multiply(X_60,double_divide(X_60,X_45)),inverse(X_60)) != double_divide(X_60,X_45)
| multiply(inverse(X_45),inverse(X_60)) = double_divide(X_60,X_45) ),
inference(resolve,[$cnf( $equal(multiply(X_60,double_divide(X_60,X_45)),inverse(X_45)) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(inverse(X_45),inverse(X_60)) = double_divide(X_60,X_45),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,double_divide(X_60,X_45)),inverse(X_60)),double_divide(X_60,X_45)) )],[refute_0_356,refute_0_397]) ).
cnf(refute_0_399,plain,
multiply(inverse(inverse(X_13)),inverse(X_62)) = double_divide(X_62,inverse(X_13)),
inference(subst,[],[refute_0_398:[bind(X_45,$fot(inverse(X_13))),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_400,plain,
( multiply(inverse(inverse(X_13)),inverse(X_62)) != double_divide(X_62,inverse(X_13))
| inverse(inverse(X_13)) != X_13
| multiply(X_13,inverse(X_62)) = double_divide(X_62,inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_13)),inverse(X_62)),double_divide(X_62,inverse(X_13))) ),[0,0],$fot(X_13)]]) ).
cnf(refute_0_401,plain,
( multiply(inverse(inverse(X_13)),inverse(X_62)) != double_divide(X_62,inverse(X_13))
| multiply(X_13,inverse(X_62)) = double_divide(X_62,inverse(X_13)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_400]) ).
cnf(refute_0_402,plain,
multiply(X_13,inverse(X_62)) = double_divide(X_62,inverse(X_13)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_13)),inverse(X_62)),double_divide(X_62,inverse(X_13))) )],[refute_0_399,refute_0_401]) ).
cnf(refute_0_403,plain,
( multiply(X_13,inverse(X_62)) != double_divide(X_62,inverse(X_13))
| double_divide(X_62,inverse(X_13)) = multiply(X_13,inverse(X_62)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_13,inverse(X_62)))),bind(Y,$fot(double_divide(X_62,inverse(X_13))))]]) ).
cnf(refute_0_404,plain,
double_divide(X_62,inverse(X_13)) = multiply(X_13,inverse(X_62)),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(X_62)),double_divide(X_62,inverse(X_13))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,inverse(double_divide(B,double_divide(A,C)))),
inference(subst,[],[refute_0_404:[bind(X_13,$fot(C)),bind(X_62,$fot(double_divide(B,double_divide(A,C))))]]) ).
cnf(refute_0_406,plain,
( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,inverse(double_divide(B,double_divide(A,C))))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(B,double_divide(A,C)),inverse(C)))),bind(Y,$fot(multiply(C,inverse(double_divide(B,double_divide(A,C)))))),bind(Z,$fot(multiply(C,multiply(double_divide(A,C),B))))]]) ).
cnf(refute_0_407,plain,
( multiply(C,inverse(double_divide(B,double_divide(A,C)))) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),inverse(C)),multiply(C,inverse(double_divide(B,double_divide(A,C))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
double_divide(double_divide(B,double_divide(A,C)),inverse(C)) = multiply(C,multiply(double_divide(A,C),B)),
inference(resolve,[$cnf( $equal(multiply(C,inverse(double_divide(B,double_divide(A,C)))),multiply(C,multiply(double_divide(A,C),B))) )],[refute_0_297,refute_0_407]) ).
cnf(refute_0_409,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))))]]) ).
cnf(refute_0_410,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[1,1],$fot(multiply(C,multiply(double_divide(A,C),B)))]]) ).
cnf(refute_0_411,plain,
( double_divide(double_divide(B,double_divide(A,C)),inverse(C)) != multiply(C,multiply(double_divide(A,C),B))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),inverse(C)),multiply(C,multiply(double_divide(A,C),B))) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) != double_divide(A,multiply(C,multiply(double_divide(A,C),B)))
| inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) ),[1],$fot(double_divide(A,multiply(C,multiply(double_divide(A,C),B))))]]) ).
cnf(refute_0_414,plain,
( inverse(B) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(A,multiply(C,multiply(double_divide(A,C),B)))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
inverse(B) = double_divide(A,multiply(C,multiply(double_divide(A,C),B))),
inference(resolve,[$cnf( $equal(inverse(B),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_292,refute_0_414]) ).
cnf(refute_0_416,plain,
inverse(X_88) = double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))),
inference(subst,[],[refute_0_415:[bind(A,$fot(identity)),bind(B,$fot(X_88)),bind(C,$fot(X_89))]]) ).
cnf(refute_0_417,plain,
( inverse(X_88) != double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88)))
| double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))) = inverse(X_88) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_88))),bind(Y,$fot(double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88)))))]]) ).
cnf(refute_0_418,plain,
double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))) = inverse(X_88),
inference(resolve,[$cnf( $equal(inverse(X_88),double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
( double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))) != inverse(X_88)
| double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))) != inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88)))
| inverse(X_88) = inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))),inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88)))) ),[0],$fot(inverse(X_88))]]) ).
cnf(refute_0_420,plain,
( double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))) != inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88)))
| inverse(X_88) = inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))),inverse(X_88)) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
inverse(X_88) = inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_89,multiply(double_divide(identity,X_89),X_88))),inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88)))) )],[refute_0_284,refute_0_420]) ).
cnf(refute_0_422,plain,
double_divide(identity,X_89) = inverse(X_89),
inference(subst,[],[refute_0_283:[bind(X_13,$fot(X_89))]]) ).
cnf(refute_0_423,plain,
multiply(double_divide(identity,X_89),X_88) = multiply(double_divide(identity,X_89),X_88),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_89),X_88))]]) ).
cnf(refute_0_424,plain,
( multiply(double_divide(identity,X_89),X_88) != multiply(double_divide(identity,X_89),X_88)
| double_divide(identity,X_89) != inverse(X_89)
| multiply(double_divide(identity,X_89),X_88) = multiply(inverse(X_89),X_88) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_89),X_88),multiply(double_divide(identity,X_89),X_88)) ),[1,0],$fot(inverse(X_89))]]) ).
cnf(refute_0_425,plain,
( double_divide(identity,X_89) != inverse(X_89)
| multiply(double_divide(identity,X_89),X_88) = multiply(inverse(X_89),X_88) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_89),X_88),multiply(double_divide(identity,X_89),X_88)) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
multiply(double_divide(identity,X_89),X_88) = multiply(inverse(X_89),X_88),
inference(resolve,[$cnf( $equal(double_divide(identity,X_89),inverse(X_89)) )],[refute_0_422,refute_0_425]) ).
cnf(refute_0_427,plain,
double_divide(multiply(double_divide(identity,X_89),X_88),X_89) = double_divide(multiply(double_divide(identity,X_89),X_88),X_89),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(identity,X_89),X_88),X_89))]]) ).
cnf(refute_0_428,plain,
( multiply(double_divide(identity,X_89),X_88) != multiply(inverse(X_89),X_88)
| double_divide(multiply(double_divide(identity,X_89),X_88),X_89) != double_divide(multiply(double_divide(identity,X_89),X_88),X_89)
| double_divide(multiply(double_divide(identity,X_89),X_88),X_89) = double_divide(multiply(inverse(X_89),X_88),X_89) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_89),X_88),X_89),double_divide(multiply(double_divide(identity,X_89),X_88),X_89)) ),[1,0],$fot(multiply(inverse(X_89),X_88))]]) ).
cnf(refute_0_429,plain,
( multiply(double_divide(identity,X_89),X_88) != multiply(inverse(X_89),X_88)
| double_divide(multiply(double_divide(identity,X_89),X_88),X_89) = double_divide(multiply(inverse(X_89),X_88),X_89) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_89),X_88),X_89),double_divide(multiply(double_divide(identity,X_89),X_88),X_89)) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
double_divide(multiply(double_divide(identity,X_89),X_88),X_89) = double_divide(multiply(inverse(X_89),X_88),X_89),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_89),X_88),multiply(inverse(X_89),X_88)) )],[refute_0_426,refute_0_429]) ).
cnf(refute_0_431,plain,
inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) = double_divide(multiply(double_divide(identity,X_89),X_88),X_89),
inference(subst,[],[refute_0_168:[bind(A,$fot(X_89)),bind(B,$fot(multiply(double_divide(identity,X_89),X_88)))]]) ).
cnf(refute_0_432,plain,
( double_divide(multiply(double_divide(identity,X_89),X_88),X_89) != double_divide(multiply(inverse(X_89),X_88),X_89)
| inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) != double_divide(multiply(double_divide(identity,X_89),X_88),X_89)
| inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) = double_divide(multiply(inverse(X_89),X_88),X_89) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))))),bind(Y,$fot(double_divide(multiply(double_divide(identity,X_89),X_88),X_89))),bind(Z,$fot(double_divide(multiply(inverse(X_89),X_88),X_89)))]]) ).
cnf(refute_0_433,plain,
( double_divide(multiply(double_divide(identity,X_89),X_88),X_89) != double_divide(multiply(inverse(X_89),X_88),X_89)
| inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) = double_divide(multiply(inverse(X_89),X_88),X_89) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))),double_divide(multiply(double_divide(identity,X_89),X_88),X_89)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) = double_divide(multiply(inverse(X_89),X_88),X_89),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_89),X_88),X_89),double_divide(multiply(inverse(X_89),X_88),X_89)) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
( inverse(X_88) != inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88)))
| inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))) != double_divide(multiply(inverse(X_89),X_88),X_89)
| inverse(X_88) = double_divide(multiply(inverse(X_89),X_88),X_89) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(X_88),double_divide(multiply(inverse(X_89),X_88),X_89)) ),[0],$fot(inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))))]]) ).
cnf(refute_0_436,plain,
( inverse(X_88) != inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88)))
| inverse(X_88) = double_divide(multiply(inverse(X_89),X_88),X_89) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88))),double_divide(multiply(inverse(X_89),X_88),X_89)) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
inverse(X_88) = double_divide(multiply(inverse(X_89),X_88),X_89),
inference(resolve,[$cnf( $equal(inverse(X_88),inverse(multiply(X_89,multiply(double_divide(identity,X_89),X_88)))) )],[refute_0_421,refute_0_436]) ).
cnf(refute_0_438,plain,
inverse(inverse(X_60)) = double_divide(multiply(inverse(X_91),inverse(X_60)),X_91),
inference(subst,[],[refute_0_437:[bind(X_88,$fot(inverse(X_60))),bind(X_89,$fot(X_91))]]) ).
cnf(refute_0_439,plain,
multiply(inverse(X_91),inverse(X_60)) = double_divide(X_60,X_91),
inference(subst,[],[refute_0_398:[bind(X_45,$fot(X_91))]]) ).
cnf(refute_0_440,plain,
( multiply(inverse(X_91),inverse(X_60)) != double_divide(X_60,X_91)
| inverse(inverse(X_60)) != double_divide(multiply(inverse(X_91),inverse(X_60)),X_91)
| inverse(inverse(X_60)) = double_divide(double_divide(X_60,X_91),X_91) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_60)),double_divide(multiply(inverse(X_91),inverse(X_60)),X_91)) ),[1,0],$fot(double_divide(X_60,X_91))]]) ).
cnf(refute_0_441,plain,
( inverse(inverse(X_60)) != double_divide(multiply(inverse(X_91),inverse(X_60)),X_91)
| inverse(inverse(X_60)) = double_divide(double_divide(X_60,X_91),X_91) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),inverse(X_60)),double_divide(X_60,X_91)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
inverse(inverse(X_60)) = double_divide(double_divide(X_60,X_91),X_91),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),double_divide(multiply(inverse(X_91),inverse(X_60)),X_91)) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
inverse(inverse(X_60)) = X_60,
inference(subst,[],[refute_0_210:[bind(X_13,$fot(X_60))]]) ).
cnf(refute_0_444,plain,
( inverse(inverse(X_60)) != X_60
| inverse(inverse(X_60)) != double_divide(double_divide(X_60,X_91),X_91)
| X_60 = double_divide(double_divide(X_60,X_91),X_91) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_60)),double_divide(double_divide(X_60,X_91),X_91)) ),[0],$fot(X_60)]]) ).
cnf(refute_0_445,plain,
( inverse(inverse(X_60)) != double_divide(double_divide(X_60,X_91),X_91)
| X_60 = double_divide(double_divide(X_60,X_91),X_91) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),X_60) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
X_60 = double_divide(double_divide(X_60,X_91),X_91),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),double_divide(double_divide(X_60,X_91),X_91)) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
X_92 = double_divide(double_divide(X_92,X_33),X_33),
inference(subst,[],[refute_0_446:[bind(X_60,$fot(X_92)),bind(X_91,$fot(X_33))]]) ).
cnf(refute_0_448,plain,
( X_92 != double_divide(double_divide(X_92,X_33),X_33)
| double_divide(double_divide(X_92,X_33),X_33) = X_92 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_92)),bind(Y,$fot(double_divide(double_divide(X_92,X_33),X_33)))]]) ).
cnf(refute_0_449,plain,
double_divide(double_divide(X_92,X_33),X_33) = X_92,
inference(resolve,[$cnf( $equal(X_92,double_divide(double_divide(X_92,X_33),X_33)) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
( multiply(double_divide(double_divide(X_92,X_33),X_33),X_33) != inverse(double_divide(X_92,X_33))
| double_divide(double_divide(X_92,X_33),X_33) != X_92
| multiply(X_92,X_33) = inverse(double_divide(X_92,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_92,X_33),X_33),X_33),inverse(double_divide(X_92,X_33))) ),[0,0],$fot(X_92)]]) ).
cnf(refute_0_451,plain,
( multiply(double_divide(double_divide(X_92,X_33),X_33),X_33) != inverse(double_divide(X_92,X_33))
| multiply(X_92,X_33) = inverse(double_divide(X_92,X_33)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_92,X_33),X_33),X_92) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(X_92,X_33) = inverse(double_divide(X_92,X_33)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_92,X_33),X_33),X_33),inverse(double_divide(X_92,X_33))) )],[refute_0_229,refute_0_451]) ).
cnf(refute_0_453,plain,
inverse(double_divide(X_92,X_33)) = multiply(X_33,X_92),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_33)),bind(B,$fot(X_92))]]) ).
cnf(refute_0_454,plain,
( multiply(X_92,X_33) != inverse(double_divide(X_92,X_33))
| inverse(double_divide(X_92,X_33)) != multiply(X_33,X_92)
| multiply(X_92,X_33) = multiply(X_33,X_92) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_92,X_33),multiply(X_33,X_92)) ),[0],$fot(inverse(double_divide(X_92,X_33)))]]) ).
cnf(refute_0_455,plain,
( multiply(X_92,X_33) != inverse(double_divide(X_92,X_33))
| multiply(X_92,X_33) = multiply(X_33,X_92) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_92,X_33)),multiply(X_33,X_92)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
multiply(X_92,X_33) = multiply(X_33,X_92),
inference(resolve,[$cnf( $equal(multiply(X_92,X_33),inverse(double_divide(X_92,X_33))) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
( multiply(X_92,X_33) != multiply(X_33,X_92)
| multiply(X_33,X_92) = multiply(X_92,X_33) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_92,X_33))),bind(Y,$fot(multiply(X_33,X_92)))]]) ).
cnf(refute_0_458,plain,
multiply(X_33,X_92) = multiply(X_92,X_33),
inference(resolve,[$cnf( $equal(multiply(X_92,X_33),multiply(X_33,X_92)) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_458:[bind(X_33,$fot(multiply(a3,b3))),bind(X_92,$fot(c3))]]) ).
cnf(refute_0_460,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_461,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_461,prove_these_axioms_3]) ).
cnf(refute_0_463,plain,
inverse(multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75))) = double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77)),
inference(subst,[],[refute_0_168:[bind(A,$fot(multiply(multiply(X_75,X_76),X_77))),bind(B,$fot(double_divide(X_76,X_75)))]]) ).
cnf(refute_0_464,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)) = X_18,
inference(subst,[],[refute_0_115:[bind(X_10,$fot(double_divide(B,A))),bind(X_11,$fot(X_18))]]) ).
cnf(refute_0_465,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)) != X_18
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)),X_18) ),[0,0,1,0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_466,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)) != X_18
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = X_18 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_65,refute_0_465]) ).
cnf(refute_0_467,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,inverse(double_divide(B,A))),inverse(identity))),inverse(identity)),X_18) )],[refute_0_464,refute_0_466]) ).
cnf(refute_0_468,plain,
inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)),
inference(subst,[],[refute_0_65:[bind(A,$fot(multiply(multiply(A,B),X_18))),bind(B,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_469,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))))]]) ).
cnf(refute_0_470,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) != inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)))
| inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity))),bind(Y,$fot(inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))))),bind(Z,$fot(multiply(multiply(multiply(A,B),X_18),double_divide(B,A))))]]) ).
cnf(refute_0_471,plain,
( inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))),multiply(multiply(multiply(A,B),X_18),double_divide(B,A))) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)))]]) ).
cnf(refute_0_474,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_475,plain,
( inverse(identity) != identity
| double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_475]) ).
cnf(refute_0_477,plain,
inverse(double_divide(X_18,multiply(A,B))) = multiply(multiply(A,B),X_18),
inference(subst,[],[refute_0_65:[bind(A,$fot(multiply(A,B))),bind(B,$fot(X_18))]]) ).
cnf(refute_0_478,plain,
double_divide(double_divide(X_18,multiply(A,B)),identity) = inverse(double_divide(X_18,multiply(A,B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_18,multiply(A,B))))]]) ).
cnf(refute_0_479,plain,
( double_divide(double_divide(X_18,multiply(A,B)),identity) != inverse(double_divide(X_18,multiply(A,B)))
| inverse(double_divide(X_18,multiply(A,B))) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),identity) = multiply(multiply(A,B),X_18) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_18,multiply(A,B)),identity))),bind(Y,$fot(inverse(double_divide(X_18,multiply(A,B))))),bind(Z,$fot(multiply(multiply(A,B),X_18)))]]) ).
cnf(refute_0_480,plain,
( inverse(double_divide(X_18,multiply(A,B))) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),identity) = multiply(multiply(A,B),X_18) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),identity),inverse(double_divide(X_18,multiply(A,B)))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
double_divide(double_divide(X_18,multiply(A,B)),identity) = multiply(multiply(A,B),X_18),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_18,multiply(A,B))),multiply(multiply(A,B),X_18)) )],[refute_0_477,refute_0_480]) ).
cnf(refute_0_482,plain,
double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))]]) ).
cnf(refute_0_483,plain,
( double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_484,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = double_divide(double_divide(X_18,multiply(A,B)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_484]) ).
cnf(refute_0_486,plain,
( double_divide(double_divide(X_18,multiply(A,B)),identity) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != double_divide(double_divide(X_18,multiply(A,B)),identity)
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = multiply(multiply(A,B),X_18) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_18,multiply(A,B)),identity))),bind(Z,$fot(multiply(multiply(A,B),X_18)))]]) ).
cnf(refute_0_487,plain,
( double_divide(double_divide(X_18,multiply(A,B)),identity) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = multiply(multiply(A,B),X_18) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),double_divide(double_divide(X_18,multiply(A,B)),identity)) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) = multiply(multiply(A,B),X_18),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),identity),multiply(multiply(A,B),X_18)) )],[refute_0_481,refute_0_487]) ).
cnf(refute_0_489,plain,
double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))))]]) ).
cnf(refute_0_490,plain,
( double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) != double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))
| double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))) ),[1,1],$fot(multiply(multiply(A,B),X_18))]]) ).
cnf(refute_0_491,plain,
( double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)) != multiply(multiply(A,B),X_18)
| double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) = double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,multiply(A,B)),inverse(identity)),multiply(multiply(A,B),X_18)) )],[refute_0_488,refute_0_491]) ).
cnf(refute_0_493,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_494,plain,
( double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) != double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity))) ),[1,0],$fot(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)))]]) ).
cnf(refute_0_495,plain,
( double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))) != double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),double_divide(double_divide(B,A),multiply(multiply(A,B),X_18))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)))]]) ).
cnf(refute_0_498,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity))) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)) )],[refute_0_476,refute_0_498]) ).
cnf(refute_0_500,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity))),bind(Z,$fot(multiply(multiply(multiply(A,B),X_18),double_divide(B,A))))]]) ).
cnf(refute_0_501,plain,
( double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity)) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) = multiply(multiply(multiply(A,B),X_18),double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(multiply(A,B),X_18)),identity),multiply(multiply(multiply(A,B),X_18),double_divide(B,A))) )],[refute_0_472,refute_0_501]) ).
cnf(refute_0_503,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != X_18
| double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != multiply(multiply(multiply(A,B),X_18),double_divide(B,A))
| multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),X_18) ),[0],$fot(multiply(multiply(multiply(A,B),X_18),double_divide(B,A)))]]) ).
cnf(refute_0_504,plain,
( double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)) != X_18
| multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) = X_18 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),multiply(multiply(multiply(A,B),X_18),double_divide(B,A))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(multiply(multiply(A,B),X_18),double_divide(B,A)) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),double_divide(double_divide(X_18,multiply(A,B)),inverse(identity))),inverse(identity)),X_18) )],[refute_0_467,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75)) = X_77,
inference(subst,[],[refute_0_505:[bind(A,$fot(X_75)),bind(B,$fot(X_76)),bind(X_18,$fot(X_77))]]) ).
cnf(refute_0_507,plain,
( multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75)) != X_77
| inverse(multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75))) != double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77))
| inverse(X_77) = double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75))),double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77))) ),[0,0],$fot(X_77)]]) ).
cnf(refute_0_508,plain,
( inverse(multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75))) != double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77))
| inverse(X_77) = double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75)),X_77) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
inverse(X_77) = double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(X_75,X_76),X_77),double_divide(X_76,X_75))),double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),X_77))) )],[refute_0_463,refute_0_508]) ).
cnf(refute_0_510,plain,
inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)))),
inference(subst,[],[refute_0_509:[bind(X_77,$fot(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))]]) ).
cnf(refute_0_511,plain,
multiply(inverse(X_61),inverse(inverse(X_13))) = double_divide(inverse(X_13),X_61),
inference(subst,[],[refute_0_398:[bind(X_45,$fot(X_61)),bind(X_60,$fot(inverse(X_13)))]]) ).
cnf(refute_0_512,plain,
( multiply(inverse(X_61),inverse(inverse(X_13))) != double_divide(inverse(X_13),X_61)
| inverse(inverse(X_13)) != X_13
| multiply(inverse(X_61),X_13) = double_divide(inverse(X_13),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_61),inverse(inverse(X_13))),double_divide(inverse(X_13),X_61)) ),[0,1],$fot(X_13)]]) ).
cnf(refute_0_513,plain,
( multiply(inverse(X_61),inverse(inverse(X_13))) != double_divide(inverse(X_13),X_61)
| multiply(inverse(X_61),X_13) = double_divide(inverse(X_13),X_61) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(inverse(X_61),X_13) = double_divide(inverse(X_13),X_61),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),inverse(inverse(X_13))),double_divide(inverse(X_13),X_61)) )],[refute_0_511,refute_0_513]) ).
cnf(refute_0_515,plain,
multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),
inference(subst,[],[refute_0_514:[bind(X_61,$fot(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))))]]) ).
cnf(refute_0_516,plain,
inverse(X_88) = double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),
inference(subst,[],[refute_0_415:[bind(A,$fot(inverse(X_13))),bind(B,$fot(X_88)),bind(C,$fot(X_89))]]) ).
cnf(refute_0_517,plain,
( inverse(X_88) != double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88)))
| double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) = inverse(X_88) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_88))),bind(Y,$fot(double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88)))))]]) ).
cnf(refute_0_518,plain,
double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) = inverse(X_88),
inference(resolve,[$cnf( $equal(inverse(X_88),double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88)))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
( multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) != double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88)))
| double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) != inverse(X_88)
| multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = inverse(X_88) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),inverse(X_88)) ),[0],$fot(double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))))]]) ).
cnf(refute_0_520,plain,
( multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) != double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88)))
| multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = inverse(X_88) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),inverse(X_88)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = inverse(X_88),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),double_divide(inverse(X_13),multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88)))) )],[refute_0_515,refute_0_520]) ).
cnf(refute_0_522,plain,
( multiply(inverse(X_61),X_13) != double_divide(inverse(X_13),X_61)
| double_divide(inverse(X_13),X_61) = multiply(inverse(X_61),X_13) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_61),X_13))),bind(Y,$fot(double_divide(inverse(X_13),X_61)))]]) ).
cnf(refute_0_523,plain,
double_divide(inverse(X_13),X_61) = multiply(inverse(X_61),X_13),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),X_13),double_divide(inverse(X_13),X_61)) )],[refute_0_514,refute_0_522]) ).
cnf(refute_0_524,plain,
double_divide(inverse(X_13),X_89) = multiply(inverse(X_89),X_13),
inference(subst,[],[refute_0_523:[bind(X_61,$fot(X_89))]]) ).
cnf(refute_0_525,plain,
multiply(double_divide(inverse(X_13),X_89),X_88) = multiply(double_divide(inverse(X_13),X_89),X_88),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_13),X_89),X_88))]]) ).
cnf(refute_0_526,plain,
( multiply(double_divide(inverse(X_13),X_89),X_88) != multiply(double_divide(inverse(X_13),X_89),X_88)
| double_divide(inverse(X_13),X_89) != multiply(inverse(X_89),X_13)
| multiply(double_divide(inverse(X_13),X_89),X_88) = multiply(multiply(inverse(X_89),X_13),X_88) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_13),X_89),X_88),multiply(double_divide(inverse(X_13),X_89),X_88)) ),[1,0],$fot(multiply(inverse(X_89),X_13))]]) ).
cnf(refute_0_527,plain,
( double_divide(inverse(X_13),X_89) != multiply(inverse(X_89),X_13)
| multiply(double_divide(inverse(X_13),X_89),X_88) = multiply(multiply(inverse(X_89),X_13),X_88) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_13),X_89),X_88),multiply(double_divide(inverse(X_13),X_89),X_88)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(double_divide(inverse(X_13),X_89),X_88) = multiply(multiply(inverse(X_89),X_13),X_88),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),X_89),multiply(inverse(X_89),X_13)) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89) = double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89))]]) ).
cnf(refute_0_530,plain,
( multiply(double_divide(inverse(X_13),X_89),X_88) != multiply(multiply(inverse(X_89),X_13),X_88)
| double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89) != double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89)
| double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89) = double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89),double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89)) ),[1,0],$fot(multiply(multiply(inverse(X_89),X_13),X_88))]]) ).
cnf(refute_0_531,plain,
( multiply(double_divide(inverse(X_13),X_89),X_88) != multiply(multiply(inverse(X_89),X_13),X_88)
| double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89) = double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89),double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89)) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89) = double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_13),X_89),X_88),multiply(multiply(inverse(X_89),X_13),X_88)) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) = double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89),
inference(subst,[],[refute_0_168:[bind(A,$fot(X_89)),bind(B,$fot(multiply(double_divide(inverse(X_13),X_89),X_88)))]]) ).
cnf(refute_0_534,plain,
( double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89) != double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)
| inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) != double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89)
| inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) = double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))))),bind(Y,$fot(double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89))),bind(Z,$fot(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)))]]) ).
cnf(refute_0_535,plain,
( double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89) != double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)
| inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) = double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89)) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) = double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(inverse(X_13),X_89),X_88),X_89),double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13))]]) ).
cnf(refute_0_538,plain,
( multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) != multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13)
| inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) != double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)
| multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13)) ),[1,0],$fot(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89))]]) ).
cnf(refute_0_539,plain,
( inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))) != double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)
| multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) = multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13),
inference(resolve,[$cnf( $equal(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
( multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) != multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13)
| multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) != inverse(X_88)
| multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) = inverse(X_88) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),inverse(X_88)) ),[0],$fot(multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13))]]) ).
cnf(refute_0_542,plain,
( multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13) != inverse(X_88)
| multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) = inverse(X_88) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) = inverse(X_88),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_89,multiply(double_divide(inverse(X_13),X_89),X_88))),X_13),inverse(X_88)) )],[refute_0_521,refute_0_542]) ).
cnf(refute_0_544,plain,
inverse(inverse(X_13)) = double_divide(X_43,double_divide(inverse(inverse(X_13)),X_43)),
inference(subst,[],[refute_0_377:[bind(X_10,$fot(X_43)),bind(X_11,$fot(inverse(X_13)))]]) ).
cnf(refute_0_545,plain,
( inverse(inverse(X_13)) != X_13
| inverse(inverse(X_13)) != double_divide(X_43,double_divide(inverse(inverse(X_13)),X_43))
| inverse(inverse(X_13)) = double_divide(X_43,double_divide(X_13,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_13)),double_divide(X_43,double_divide(inverse(inverse(X_13)),X_43))) ),[1,1,0],$fot(X_13)]]) ).
cnf(refute_0_546,plain,
( inverse(inverse(X_13)) != double_divide(X_43,double_divide(inverse(inverse(X_13)),X_43))
| inverse(inverse(X_13)) = double_divide(X_43,double_divide(X_13,X_43)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_545]) ).
cnf(refute_0_547,plain,
inverse(inverse(X_13)) = double_divide(X_43,double_divide(X_13,X_43)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),double_divide(X_43,double_divide(inverse(inverse(X_13)),X_43))) )],[refute_0_544,refute_0_546]) ).
cnf(refute_0_548,plain,
( inverse(inverse(X_13)) != X_13
| inverse(inverse(X_13)) != double_divide(X_43,double_divide(X_13,X_43))
| X_13 = double_divide(X_43,double_divide(X_13,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_13)),double_divide(X_43,double_divide(X_13,X_43))) ),[0],$fot(X_13)]]) ).
cnf(refute_0_549,plain,
( inverse(inverse(X_13)) != double_divide(X_43,double_divide(X_13,X_43))
| X_13 = double_divide(X_43,double_divide(X_13,X_43)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_548]) ).
cnf(refute_0_550,plain,
X_13 = double_divide(X_43,double_divide(X_13,X_43)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),double_divide(X_43,double_divide(X_13,X_43))) )],[refute_0_547,refute_0_549]) ).
cnf(refute_0_551,plain,
double_divide(X_92,X_43) = double_divide(X_43,double_divide(double_divide(X_92,X_43),X_43)),
inference(subst,[],[refute_0_550:[bind(X_13,$fot(double_divide(X_92,X_43)))]]) ).
cnf(refute_0_552,plain,
X_92 = double_divide(double_divide(X_92,X_43),X_43),
inference(subst,[],[refute_0_446:[bind(X_60,$fot(X_92)),bind(X_91,$fot(X_43))]]) ).
cnf(refute_0_553,plain,
( X_92 != double_divide(double_divide(X_92,X_43),X_43)
| double_divide(double_divide(X_92,X_43),X_43) = X_92 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_92)),bind(Y,$fot(double_divide(double_divide(X_92,X_43),X_43)))]]) ).
cnf(refute_0_554,plain,
double_divide(double_divide(X_92,X_43),X_43) = X_92,
inference(resolve,[$cnf( $equal(X_92,double_divide(double_divide(X_92,X_43),X_43)) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
( double_divide(X_92,X_43) != double_divide(X_43,double_divide(double_divide(X_92,X_43),X_43))
| double_divide(double_divide(X_92,X_43),X_43) != X_92
| double_divide(X_92,X_43) = double_divide(X_43,X_92) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_92,X_43),double_divide(X_43,double_divide(double_divide(X_92,X_43),X_43))) ),[1,1],$fot(X_92)]]) ).
cnf(refute_0_556,plain,
( double_divide(X_92,X_43) != double_divide(X_43,double_divide(double_divide(X_92,X_43),X_43))
| double_divide(X_92,X_43) = double_divide(X_43,X_92) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_92,X_43),X_43),X_92) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
double_divide(X_92,X_43) = double_divide(X_43,X_92),
inference(resolve,[$cnf( $equal(double_divide(X_92,X_43),double_divide(X_43,double_divide(double_divide(X_92,X_43),X_43))) )],[refute_0_551,refute_0_556]) ).
cnf(refute_0_558,plain,
( double_divide(X_92,X_43) != double_divide(X_43,X_92)
| double_divide(X_43,X_92) = double_divide(X_92,X_43) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_92,X_43))),bind(Y,$fot(double_divide(X_43,X_92)))]]) ).
cnf(refute_0_559,plain,
double_divide(X_43,X_92) = double_divide(X_92,X_43),
inference(resolve,[$cnf( $equal(double_divide(X_92,X_43),double_divide(X_43,X_92)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89) = double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)),
inference(subst,[],[refute_0_559:[bind(X_43,$fot(multiply(multiply(inverse(X_89),X_13),X_88))),bind(X_92,$fot(X_89))]]) ).
cnf(refute_0_561,plain,
multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) = multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)),
introduced(tautology,[refl,[$fot(multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)))]]) ).
cnf(refute_0_562,plain,
( multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) != multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89))
| double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89) != double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))
| multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) = multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)),multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89))) ),[1,1],$fot(double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)))]]) ).
cnf(refute_0_563,plain,
( double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89) != double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))
| multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) = multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) ),
inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)),multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) = multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))),
inference(resolve,[$cnf( $equal(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) = multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)),
inference(subst,[],[refute_0_458:[bind(X_33,$fot(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89))),bind(X_92,$fot(X_13))]]) ).
cnf(refute_0_566,plain,
( multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) != multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)))
| multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) != multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89))
| multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) = multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13))),bind(Y,$fot(multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)))),bind(Z,$fot(multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)))))]]) ).
cnf(refute_0_567,plain,
( multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)) != multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)))
| multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) = multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13),multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) = multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))),
inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89)),multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)))) )],[refute_0_564,refute_0_567]) ).
cnf(refute_0_569,plain,
( multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) != multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)))
| multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) != inverse(X_88)
| multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) = inverse(X_88) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13),inverse(X_88)) ),[0],$fot(multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))))]]) ).
cnf(refute_0_570,plain,
( multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13) != inverse(X_88)
| multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) = inverse(X_88) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13),multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88)))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
multiply(X_13,double_divide(X_89,multiply(multiply(inverse(X_89),X_13),X_88))) = inverse(X_88),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(multiply(inverse(X_89),X_13),X_88),X_89),X_13),inverse(X_88)) )],[refute_0_543,refute_0_570]) ).
cnf(refute_0_572,plain,
multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = inverse(X_104),
inference(subst,[],[refute_0_571:[bind(X_13,$fot(multiply(X_75,X_76))),bind(X_88,$fot(X_104)),bind(X_89,$fot(X_105))]]) ).
cnf(refute_0_573,plain,
( multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != inverse(X_104)
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = double_divide(double_divide(X_76,X_75),inverse(X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))) ),[1,1],$fot(inverse(X_104))]]) ).
cnf(refute_0_574,plain,
( inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = double_divide(double_divide(X_76,X_75),inverse(X_104)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),inverse(X_104)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = double_divide(double_divide(X_76,X_75),inverse(X_104)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))) )],[refute_0_510,refute_0_574]) ).
cnf(refute_0_576,plain,
inverse(double_divide(X_76,X_75)) = multiply(X_75,X_76),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_75)),bind(B,$fot(X_76))]]) ).
cnf(refute_0_577,plain,
multiply(inverse(double_divide(X_76,X_75)),X_104) = multiply(inverse(double_divide(X_76,X_75)),X_104),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_76,X_75)),X_104))]]) ).
cnf(refute_0_578,plain,
( multiply(inverse(double_divide(X_76,X_75)),X_104) != multiply(inverse(double_divide(X_76,X_75)),X_104)
| inverse(double_divide(X_76,X_75)) != multiply(X_75,X_76)
| multiply(inverse(double_divide(X_76,X_75)),X_104) = multiply(multiply(X_75,X_76),X_104) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_76,X_75)),X_104),multiply(inverse(double_divide(X_76,X_75)),X_104)) ),[1,0],$fot(multiply(X_75,X_76))]]) ).
cnf(refute_0_579,plain,
( inverse(double_divide(X_76,X_75)) != multiply(X_75,X_76)
| multiply(inverse(double_divide(X_76,X_75)),X_104) = multiply(multiply(X_75,X_76),X_104) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_76,X_75)),X_104),multiply(inverse(double_divide(X_76,X_75)),X_104)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(inverse(double_divide(X_76,X_75)),X_104) = multiply(multiply(X_75,X_76),X_104),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_76,X_75)),multiply(X_75,X_76)) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
inverse(X_11) = double_divide(double_divide(inverse(X_44),inverse(X_11)),double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11)))),
inference(subst,[],[refute_0_377:[bind(X_10,$fot(double_divide(inverse(X_44),inverse(X_11))))]]) ).
cnf(refute_0_582,plain,
inverse(X_44) = double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))),
inference(subst,[],[refute_0_377:[bind(X_10,$fot(inverse(X_11))),bind(X_11,$fot(X_44))]]) ).
cnf(refute_0_583,plain,
( inverse(X_44) != double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11)))
| double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))) = inverse(X_44) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_44))),bind(Y,$fot(double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11)))))]]) ).
cnf(refute_0_584,plain,
double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))) = inverse(X_44),
inference(resolve,[$cnf( $equal(inverse(X_44),double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11)))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
( double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))) != inverse(X_44)
| inverse(X_11) != double_divide(double_divide(inverse(X_44),inverse(X_11)),double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))))
| inverse(X_11) = double_divide(double_divide(inverse(X_44),inverse(X_11)),inverse(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_11),double_divide(double_divide(inverse(X_44),inverse(X_11)),double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))))) ),[1,1],$fot(inverse(X_44))]]) ).
cnf(refute_0_586,plain,
( inverse(X_11) != double_divide(double_divide(inverse(X_44),inverse(X_11)),double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))))
| inverse(X_11) = double_divide(double_divide(inverse(X_44),inverse(X_11)),inverse(X_44)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))),inverse(X_44)) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
inverse(X_11) = double_divide(double_divide(inverse(X_44),inverse(X_11)),inverse(X_44)),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(double_divide(inverse(X_44),inverse(X_11)),double_divide(inverse(X_11),double_divide(inverse(X_44),inverse(X_11))))) )],[refute_0_581,refute_0_586]) ).
cnf(refute_0_588,plain,
inverse(X_49) = double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),inverse(inverse(X_13))),
inference(subst,[],[refute_0_587:[bind(X_11,$fot(X_49)),bind(X_44,$fot(inverse(X_13)))]]) ).
cnf(refute_0_589,plain,
( inverse(X_49) != double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),inverse(inverse(X_13)))
| inverse(inverse(X_13)) != X_13
| inverse(X_49) = double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_49),double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),inverse(inverse(X_13)))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_590,plain,
( inverse(X_49) != double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),inverse(inverse(X_13)))
| inverse(X_49) = double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_589]) ).
cnf(refute_0_591,plain,
inverse(X_49) = double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13),
inference(resolve,[$cnf( $equal(inverse(X_49),double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),inverse(inverse(X_13)))) )],[refute_0_588,refute_0_590]) ).
cnf(refute_0_592,plain,
double_divide(inverse(inverse(X_13)),inverse(X_49)) = double_divide(inverse(inverse(X_13)),inverse(X_49)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_13)),inverse(X_49)))]]) ).
cnf(refute_0_593,plain,
( double_divide(inverse(inverse(X_13)),inverse(X_49)) != double_divide(inverse(inverse(X_13)),inverse(X_49))
| inverse(inverse(X_13)) != X_13
| double_divide(inverse(inverse(X_13)),inverse(X_49)) = double_divide(X_13,inverse(X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(X_49)),double_divide(inverse(inverse(X_13)),inverse(X_49))) ),[1,0],$fot(X_13)]]) ).
cnf(refute_0_594,plain,
( inverse(inverse(X_13)) != X_13
| double_divide(inverse(inverse(X_13)),inverse(X_49)) = double_divide(X_13,inverse(X_49)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(X_49)),double_divide(inverse(inverse(X_13)),inverse(X_49))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
double_divide(inverse(inverse(X_13)),inverse(X_49)) = double_divide(X_13,inverse(X_49)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_594]) ).
cnf(refute_0_596,plain,
double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) = double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13))]]) ).
cnf(refute_0_597,plain,
( double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) != double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13)
| double_divide(inverse(inverse(X_13)),inverse(X_49)) != double_divide(X_13,inverse(X_49))
| double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) = double_divide(double_divide(X_13,inverse(X_49)),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13),double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13)) ),[1,0],$fot(double_divide(X_13,inverse(X_49)))]]) ).
cnf(refute_0_598,plain,
( double_divide(inverse(inverse(X_13)),inverse(X_49)) != double_divide(X_13,inverse(X_49))
| double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) = double_divide(double_divide(X_13,inverse(X_49)),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13),double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13)) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) = double_divide(double_divide(X_13,inverse(X_49)),X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(X_49)),double_divide(X_13,inverse(X_49))) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
( double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13) != double_divide(double_divide(X_13,inverse(X_49)),X_13)
| inverse(X_49) != double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13)
| inverse(X_49) = double_divide(double_divide(X_13,inverse(X_49)),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_49),double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13)) ),[1],$fot(double_divide(double_divide(X_13,inverse(X_49)),X_13))]]) ).
cnf(refute_0_601,plain,
( inverse(X_49) != double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13)
| inverse(X_49) = double_divide(double_divide(X_13,inverse(X_49)),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13),double_divide(double_divide(X_13,inverse(X_49)),X_13)) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
inverse(X_49) = double_divide(double_divide(X_13,inverse(X_49)),X_13),
inference(resolve,[$cnf( $equal(inverse(X_49),double_divide(double_divide(inverse(inverse(X_13)),inverse(X_49)),X_13)) )],[refute_0_591,refute_0_601]) ).
cnf(refute_0_603,plain,
inverse(inverse(X_13)) = double_divide(double_divide(X_51,inverse(inverse(X_13))),X_51),
inference(subst,[],[refute_0_602:[bind(X_13,$fot(X_51)),bind(X_49,$fot(inverse(X_13)))]]) ).
cnf(refute_0_604,plain,
( inverse(inverse(X_13)) != X_13
| inverse(inverse(X_13)) != double_divide(double_divide(X_51,inverse(inverse(X_13))),X_51)
| inverse(inverse(X_13)) = double_divide(double_divide(X_51,X_13),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_13)),double_divide(double_divide(X_51,inverse(inverse(X_13))),X_51)) ),[1,0,1],$fot(X_13)]]) ).
cnf(refute_0_605,plain,
( inverse(inverse(X_13)) != double_divide(double_divide(X_51,inverse(inverse(X_13))),X_51)
| inverse(inverse(X_13)) = double_divide(double_divide(X_51,X_13),X_51) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_604]) ).
cnf(refute_0_606,plain,
inverse(inverse(X_13)) = double_divide(double_divide(X_51,X_13),X_51),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),double_divide(double_divide(X_51,inverse(inverse(X_13))),X_51)) )],[refute_0_603,refute_0_605]) ).
cnf(refute_0_607,plain,
( inverse(inverse(X_13)) != X_13
| inverse(inverse(X_13)) != double_divide(double_divide(X_51,X_13),X_51)
| X_13 = double_divide(double_divide(X_51,X_13),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_13)),double_divide(double_divide(X_51,X_13),X_51)) ),[0],$fot(X_13)]]) ).
cnf(refute_0_608,plain,
( inverse(inverse(X_13)) != double_divide(double_divide(X_51,X_13),X_51)
| X_13 = double_divide(double_divide(X_51,X_13),X_51) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),X_13) )],[refute_0_210,refute_0_607]) ).
cnf(refute_0_609,plain,
X_13 = double_divide(double_divide(X_51,X_13),X_51),
inference(resolve,[$cnf( $equal(inverse(inverse(X_13)),double_divide(double_divide(X_51,X_13),X_51)) )],[refute_0_606,refute_0_608]) ).
cnf(refute_0_610,plain,
multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) = double_divide(double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))),X_51),
inference(subst,[],[refute_0_609:[bind(X_13,$fot(multiply(X_89,multiply(double_divide(X_51,X_89),X_88))))]]) ).
cnf(refute_0_611,plain,
inverse(X_88) = double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))),
inference(subst,[],[refute_0_415:[bind(A,$fot(X_51)),bind(B,$fot(X_88)),bind(C,$fot(X_89))]]) ).
cnf(refute_0_612,plain,
( inverse(X_88) != double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88)))
| double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))) = inverse(X_88) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_88))),bind(Y,$fot(double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88)))))]]) ).
cnf(refute_0_613,plain,
double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))) = inverse(X_88),
inference(resolve,[$cnf( $equal(inverse(X_88),double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88)))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
( multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) != double_divide(double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))),X_51)
| double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))) != inverse(X_88)
| multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) = double_divide(inverse(X_88),X_51) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,multiply(double_divide(X_51,X_89),X_88)),double_divide(double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))),X_51)) ),[1,0],$fot(inverse(X_88))]]) ).
cnf(refute_0_615,plain,
( multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) != double_divide(double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))),X_51)
| multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) = double_divide(inverse(X_88),X_51) ),
inference(resolve,[$cnf( $equal(double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))),inverse(X_88)) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) = double_divide(inverse(X_88),X_51),
inference(resolve,[$cnf( $equal(multiply(X_89,multiply(double_divide(X_51,X_89),X_88)),double_divide(double_divide(X_51,multiply(X_89,multiply(double_divide(X_51,X_89),X_88))),X_51)) )],[refute_0_610,refute_0_615]) ).
cnf(refute_0_617,plain,
double_divide(inverse(X_88),X_51) = multiply(inverse(X_51),X_88),
inference(subst,[],[refute_0_523:[bind(X_13,$fot(X_88)),bind(X_61,$fot(X_51))]]) ).
cnf(refute_0_618,plain,
( multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) != double_divide(inverse(X_88),X_51)
| double_divide(inverse(X_88),X_51) != multiply(inverse(X_51),X_88)
| multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) = multiply(inverse(X_51),X_88) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_89,multiply(double_divide(X_51,X_89),X_88)),multiply(inverse(X_51),X_88)) ),[0],$fot(double_divide(inverse(X_88),X_51))]]) ).
cnf(refute_0_619,plain,
( multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) != double_divide(inverse(X_88),X_51)
| multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) = multiply(inverse(X_51),X_88) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_88),X_51),multiply(inverse(X_51),X_88)) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
multiply(X_89,multiply(double_divide(X_51,X_89),X_88)) = multiply(inverse(X_51),X_88),
inference(resolve,[$cnf( $equal(multiply(X_89,multiply(double_divide(X_51,X_89),X_88)),double_divide(inverse(X_88),X_51)) )],[refute_0_616,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) = multiply(inverse(double_divide(X_76,X_75)),X_104),
inference(subst,[],[refute_0_620:[bind(X_51,$fot(double_divide(X_76,X_75))),bind(X_88,$fot(X_104)),bind(X_89,$fot(X_105))]]) ).
cnf(refute_0_622,plain,
( multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) != multiply(inverse(double_divide(X_76,X_75)),X_104)
| multiply(inverse(double_divide(X_76,X_75)),X_104) != multiply(multiply(X_75,X_76),X_104)
| multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) = multiply(multiply(X_75,X_76),X_104) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)))),bind(Y,$fot(multiply(inverse(double_divide(X_76,X_75)),X_104))),bind(Z,$fot(multiply(multiply(X_75,X_76),X_104)))]]) ).
cnf(refute_0_623,plain,
( multiply(inverse(double_divide(X_76,X_75)),X_104) != multiply(multiply(X_75,X_76),X_104)
| multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) = multiply(multiply(X_75,X_76),X_104) ),
inference(resolve,[$cnf( $equal(multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)),multiply(inverse(double_divide(X_76,X_75)),X_104)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) = multiply(multiply(X_75,X_76),X_104),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_76,X_75)),X_104),multiply(multiply(X_75,X_76),X_104)) )],[refute_0_580,refute_0_623]) ).
cnf(refute_0_625,plain,
multiply(inverse(X_61),inverse(double_divide(B,A))) = double_divide(double_divide(B,A),X_61),
inference(subst,[],[refute_0_398:[bind(X_45,$fot(X_61)),bind(X_60,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_626,plain,
( multiply(inverse(X_61),inverse(double_divide(B,A))) != double_divide(double_divide(B,A),X_61)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_61),multiply(A,B)) = double_divide(double_divide(B,A),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_61),inverse(double_divide(B,A))),double_divide(double_divide(B,A),X_61)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_627,plain,
( multiply(inverse(X_61),inverse(double_divide(B,A))) != double_divide(double_divide(B,A),X_61)
| multiply(inverse(X_61),multiply(A,B)) = double_divide(double_divide(B,A),X_61) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_65,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(inverse(X_61),multiply(A,B)) = double_divide(double_divide(B,A),X_61),
inference(resolve,[$cnf( $equal(multiply(inverse(X_61),inverse(double_divide(B,A))),double_divide(double_divide(B,A),X_61)) )],[refute_0_625,refute_0_627]) ).
cnf(refute_0_629,plain,
multiply(inverse(X_105),multiply(X_75,X_76)) = double_divide(double_divide(X_76,X_75),X_105),
inference(subst,[],[refute_0_628:[bind(A,$fot(X_75)),bind(B,$fot(X_76)),bind(X_61,$fot(X_105))]]) ).
cnf(refute_0_630,plain,
multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104) = multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))]]) ).
cnf(refute_0_631,plain,
( multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104) != multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)
| multiply(inverse(X_105),multiply(X_75,X_76)) != double_divide(double_divide(X_76,X_75),X_105)
| multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104) = multiply(double_divide(double_divide(X_76,X_75),X_105),X_104) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) ),[1,0],$fot(double_divide(double_divide(X_76,X_75),X_105))]]) ).
cnf(refute_0_632,plain,
( multiply(inverse(X_105),multiply(X_75,X_76)) != double_divide(double_divide(X_76,X_75),X_105)
| multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104) = multiply(double_divide(double_divide(X_76,X_75),X_105),X_104) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104) = multiply(double_divide(double_divide(X_76,X_75),X_105),X_104),
inference(resolve,[$cnf( $equal(multiply(inverse(X_105),multiply(X_75,X_76)),double_divide(double_divide(X_76,X_75),X_105)) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) = multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)),
introduced(tautology,[refl,[$fot(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)))]]) ).
cnf(refute_0_635,plain,
( multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) != multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))
| multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104) != multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)
| multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) = multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)),multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) ),[1,1],$fot(multiply(double_divide(double_divide(X_76,X_75),X_105),X_104))]]) ).
cnf(refute_0_636,plain,
( multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104) != multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)
| multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) = multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) ),
inference(resolve,[$cnf( $equal(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)),multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) = multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) )],[refute_0_633,refute_0_636]) ).
cnf(refute_0_638,plain,
( multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) != multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104))
| multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) != multiply(multiply(X_75,X_76),X_104)
| multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) = multiply(multiply(X_75,X_76),X_104) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)))),bind(Y,$fot(multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)))),bind(Z,$fot(multiply(multiply(X_75,X_76),X_104)))]]) ).
cnf(refute_0_639,plain,
( multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)) != multiply(multiply(X_75,X_76),X_104)
| multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) = multiply(multiply(X_75,X_76),X_104) ),
inference(resolve,[$cnf( $equal(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)),multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) = multiply(multiply(X_75,X_76),X_104),
inference(resolve,[$cnf( $equal(multiply(X_105,multiply(double_divide(double_divide(X_76,X_75),X_105),X_104)),multiply(multiply(X_75,X_76),X_104)) )],[refute_0_624,refute_0_639]) ).
cnf(refute_0_641,plain,
inverse(X_88) = double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(double_divide(double_divide(X_89,X_13),X_89),X_88))),
inference(subst,[],[refute_0_415:[bind(A,$fot(double_divide(X_89,X_13))),bind(B,$fot(X_88)),bind(C,$fot(X_89))]]) ).
cnf(refute_0_642,plain,
X_13 = double_divide(double_divide(X_89,X_13),X_89),
inference(subst,[],[refute_0_609:[bind(X_51,$fot(X_89))]]) ).
cnf(refute_0_643,plain,
( X_13 != double_divide(double_divide(X_89,X_13),X_89)
| double_divide(double_divide(X_89,X_13),X_89) = X_13 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_13)),bind(Y,$fot(double_divide(double_divide(X_89,X_13),X_89)))]]) ).
cnf(refute_0_644,plain,
double_divide(double_divide(X_89,X_13),X_89) = X_13,
inference(resolve,[$cnf( $equal(X_13,double_divide(double_divide(X_89,X_13),X_89)) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
( double_divide(double_divide(X_89,X_13),X_89) != X_13
| inverse(X_88) != double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(double_divide(double_divide(X_89,X_13),X_89),X_88)))
| inverse(X_88) = double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(X_13,X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_88),double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(double_divide(double_divide(X_89,X_13),X_89),X_88)))) ),[1,1,1,0],$fot(X_13)]]) ).
cnf(refute_0_646,plain,
( inverse(X_88) != double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(double_divide(double_divide(X_89,X_13),X_89),X_88)))
| inverse(X_88) = double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(X_13,X_88))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_89,X_13),X_89),X_13) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
inverse(X_88) = double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(X_13,X_88))),
inference(resolve,[$cnf( $equal(inverse(X_88),double_divide(double_divide(X_89,X_13),multiply(X_89,multiply(double_divide(double_divide(X_89,X_13),X_89),X_88)))) )],[refute_0_641,refute_0_646]) ).
cnf(refute_0_648,plain,
inverse(double_divide(A,B)) = double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,multiply(multiply(A,B),double_divide(A,B)))),
inference(subst,[],[refute_0_647:[bind(X_13,$fot(multiply(A,B))),bind(X_88,$fot(double_divide(A,B))),bind(X_89,$fot(X_102))]]) ).
cnf(refute_0_649,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_36:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).
cnf(refute_0_650,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_651,plain,
( identity != double_divide(X_3,inverse(X_3))
| double_divide(X_3,inverse(X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_3,inverse(X_3))))]]) ).
cnf(refute_0_652,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_654,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| multiply(inverse(X_3),X_3) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_649,refute_0_654]) ).
cnf(refute_0_656,plain,
multiply(inverse(double_divide(B,A)),double_divide(B,A)) = inverse(identity),
inference(subst,[],[refute_0_655:[bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_657,plain,
( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_658,plain,
( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
| multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_65,refute_0_657]) ).
cnf(refute_0_659,plain,
multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) )],[refute_0_656,refute_0_658]) ).
cnf(refute_0_660,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| inverse(identity) != identity
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),double_divide(B,A)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_661,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_660]) ).
cnf(refute_0_662,plain,
multiply(multiply(A,B),double_divide(B,A)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),inverse(identity)) )],[refute_0_659,refute_0_661]) ).
cnf(refute_0_663,plain,
double_divide(B,A) = double_divide(A,B),
inference(subst,[],[refute_0_557:[bind(X_43,$fot(A)),bind(X_92,$fot(B))]]) ).
cnf(refute_0_664,plain,
( multiply(multiply(A,B),double_divide(B,A)) != identity
| double_divide(B,A) != double_divide(A,B)
| multiply(multiply(A,B),double_divide(A,B)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),identity) ),[0,1],$fot(double_divide(A,B))]]) ).
cnf(refute_0_665,plain,
( multiply(multiply(A,B),double_divide(B,A)) != identity
| multiply(multiply(A,B),double_divide(A,B)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(multiply(A,B),double_divide(A,B)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),identity) )],[refute_0_662,refute_0_665]) ).
cnf(refute_0_667,plain,
( multiply(multiply(A,B),double_divide(A,B)) != identity
| inverse(double_divide(A,B)) != double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,multiply(multiply(A,B),double_divide(A,B))))
| inverse(double_divide(A,B)) = double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(A,B)),double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,multiply(multiply(A,B),double_divide(A,B))))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_668,plain,
( inverse(double_divide(A,B)) != double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,multiply(multiply(A,B),double_divide(A,B))))
| inverse(double_divide(A,B)) = double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(A,B)),identity) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
inverse(double_divide(A,B)) = double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,multiply(multiply(A,B),double_divide(A,B))))) )],[refute_0_648,refute_0_668]) ).
cnf(refute_0_670,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(subst,[],[refute_0_65:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_671,plain,
( inverse(double_divide(A,B)) != multiply(B,A)
| inverse(double_divide(A,B)) != double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))
| multiply(B,A) = double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(A,B)),double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))) ),[0],$fot(multiply(B,A))]]) ).
cnf(refute_0_672,plain,
( inverse(double_divide(A,B)) != double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))
| multiply(B,A) = double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),multiply(B,A)) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
X_13 = double_divide(double_divide(double_divide(X_92,X_13),X_13),double_divide(X_92,X_13)),
inference(subst,[],[refute_0_609:[bind(X_51,$fot(double_divide(X_92,X_13)))]]) ).
cnf(refute_0_674,plain,
X_92 = double_divide(double_divide(X_92,X_13),X_13),
inference(subst,[],[refute_0_446:[bind(X_60,$fot(X_92)),bind(X_91,$fot(X_13))]]) ).
cnf(refute_0_675,plain,
( X_92 != double_divide(double_divide(X_92,X_13),X_13)
| double_divide(double_divide(X_92,X_13),X_13) = X_92 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_92)),bind(Y,$fot(double_divide(double_divide(X_92,X_13),X_13)))]]) ).
cnf(refute_0_676,plain,
double_divide(double_divide(X_92,X_13),X_13) = X_92,
inference(resolve,[$cnf( $equal(X_92,double_divide(double_divide(X_92,X_13),X_13)) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
( X_13 != double_divide(double_divide(double_divide(X_92,X_13),X_13),double_divide(X_92,X_13))
| double_divide(double_divide(X_92,X_13),X_13) != X_92
| X_13 = double_divide(X_92,double_divide(X_92,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(X_13,double_divide(double_divide(double_divide(X_92,X_13),X_13),double_divide(X_92,X_13))) ),[1,0],$fot(X_92)]]) ).
cnf(refute_0_678,plain,
( X_13 != double_divide(double_divide(double_divide(X_92,X_13),X_13),double_divide(X_92,X_13))
| X_13 = double_divide(X_92,double_divide(X_92,X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_92,X_13),X_13),X_92) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
X_13 = double_divide(X_92,double_divide(X_92,X_13)),
inference(resolve,[$cnf( $equal(X_13,double_divide(double_divide(double_divide(X_92,X_13),X_13),double_divide(X_92,X_13))) )],[refute_0_673,refute_0_678]) ).
cnf(refute_0_680,plain,
( X_13 != double_divide(X_92,double_divide(X_92,X_13))
| double_divide(X_92,double_divide(X_92,X_13)) = X_13 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_13)),bind(Y,$fot(double_divide(X_92,double_divide(X_92,X_13))))]]) ).
cnf(refute_0_681,plain,
double_divide(X_92,double_divide(X_92,X_13)) = X_13,
inference(resolve,[$cnf( $equal(X_13,double_divide(X_92,double_divide(X_92,X_13))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
double_divide(X_102,double_divide(X_102,multiply(A,B))) = multiply(A,B),
inference(subst,[],[refute_0_681:[bind(X_13,$fot(multiply(A,B))),bind(X_92,$fot(X_102))]]) ).
cnf(refute_0_683,plain,
double_divide(double_divide(X_102,multiply(A,B)),X_102) = double_divide(X_102,double_divide(X_102,multiply(A,B))),
inference(subst,[],[refute_0_559:[bind(X_43,$fot(double_divide(X_102,multiply(A,B)))),bind(X_92,$fot(X_102))]]) ).
cnf(refute_0_684,plain,
( double_divide(X_102,double_divide(X_102,multiply(A,B))) != multiply(A,B)
| double_divide(double_divide(X_102,multiply(A,B)),X_102) != double_divide(X_102,double_divide(X_102,multiply(A,B)))
| double_divide(double_divide(X_102,multiply(A,B)),X_102) = multiply(A,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_102,multiply(A,B)),X_102))),bind(Y,$fot(double_divide(X_102,double_divide(X_102,multiply(A,B))))),bind(Z,$fot(multiply(A,B)))]]) ).
cnf(refute_0_685,plain,
( double_divide(X_102,double_divide(X_102,multiply(A,B))) != multiply(A,B)
| double_divide(double_divide(X_102,multiply(A,B)),X_102) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,multiply(A,B)),X_102),double_divide(X_102,double_divide(X_102,multiply(A,B)))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
double_divide(double_divide(X_102,multiply(A,B)),X_102) = multiply(A,B),
inference(resolve,[$cnf( $equal(double_divide(X_102,double_divide(X_102,multiply(A,B))),multiply(A,B)) )],[refute_0_682,refute_0_685]) ).
cnf(refute_0_687,plain,
inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))) = double_divide(double_divide(X_102,multiply(A,B)),X_102),
inference(subst,[],[refute_0_168:[bind(A,$fot(X_102)),bind(B,$fot(double_divide(X_102,multiply(A,B))))]]) ).
cnf(refute_0_688,plain,
( double_divide(double_divide(X_102,multiply(A,B)),X_102) != multiply(A,B)
| inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))) != double_divide(double_divide(X_102,multiply(A,B)),X_102)
| inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))) = multiply(A,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))))),bind(Y,$fot(double_divide(double_divide(X_102,multiply(A,B)),X_102))),bind(Z,$fot(multiply(A,B)))]]) ).
cnf(refute_0_689,plain,
( double_divide(double_divide(X_102,multiply(A,B)),X_102) != multiply(A,B)
| inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))),double_divide(double_divide(X_102,multiply(A,B)),X_102)) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))) = multiply(A,B),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,multiply(A,B)),X_102),multiply(A,B)) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))) = inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))),
inference(subst,[],[refute_0_283:[bind(X_13,$fot(multiply(X_102,double_divide(X_102,multiply(A,B)))))]]) ).
cnf(refute_0_692,plain,
( double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))) != inverse(multiply(X_102,double_divide(X_102,multiply(A,B))))
| inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))) != multiply(A,B)
| double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))) = multiply(A,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))))),bind(Y,$fot(inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))))),bind(Z,$fot(multiply(A,B)))]]) ).
cnf(refute_0_693,plain,
( inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))) != multiply(A,B)
| double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))),inverse(multiply(X_102,double_divide(X_102,multiply(A,B))))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))) = multiply(A,B),
inference(resolve,[$cnf( $equal(inverse(multiply(X_102,double_divide(X_102,multiply(A,B)))),multiply(A,B)) )],[refute_0_690,refute_0_693]) ).
cnf(refute_0_695,plain,
multiply(double_divide(X_102,X_100),double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))) = inverse(multiply(X_102,multiply(X_100,X_101))),
inference(subst,[],[refute_0_394:[bind(X_13,$fot(double_divide(X_102,X_100))),bind(X_45,$fot(multiply(X_102,multiply(X_100,X_101))))]]) ).
cnf(refute_0_696,plain,
inverse(X_101) = double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))),
inference(subst,[],[refute_0_647:[bind(X_13,$fot(X_100)),bind(X_88,$fot(X_101)),bind(X_89,$fot(X_102))]]) ).
cnf(refute_0_697,plain,
( inverse(X_101) != double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))
| double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = inverse(X_101) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_101))),bind(Y,$fot(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))))]]) ).
cnf(refute_0_698,plain,
double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = inverse(X_101),
inference(resolve,[$cnf( $equal(inverse(X_101),double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
( multiply(double_divide(X_102,X_100),double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))) != inverse(multiply(X_102,multiply(X_100,X_101)))
| double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) != inverse(X_101)
| multiply(double_divide(X_102,X_100),inverse(X_101)) = inverse(multiply(X_102,multiply(X_100,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_102,X_100),double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))),inverse(multiply(X_102,multiply(X_100,X_101)))) ),[0,1],$fot(inverse(X_101))]]) ).
cnf(refute_0_700,plain,
( multiply(double_divide(X_102,X_100),double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))) != inverse(multiply(X_102,multiply(X_100,X_101)))
| multiply(double_divide(X_102,X_100),inverse(X_101)) = inverse(multiply(X_102,multiply(X_100,X_101))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))),inverse(X_101)) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
multiply(double_divide(X_102,X_100),inverse(X_101)) = inverse(multiply(X_102,multiply(X_100,X_101))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_102,X_100),double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))),inverse(multiply(X_102,multiply(X_100,X_101)))) )],[refute_0_695,refute_0_700]) ).
cnf(refute_0_702,plain,
multiply(inverse(multiply(A,B)),inverse(X_62)) = double_divide(X_62,multiply(A,B)),
inference(subst,[],[refute_0_398:[bind(X_45,$fot(multiply(A,B))),bind(X_60,$fot(X_62))]]) ).
cnf(refute_0_703,plain,
( multiply(inverse(multiply(A,B)),inverse(X_62)) != double_divide(X_62,multiply(A,B))
| inverse(multiply(A,B)) != double_divide(B,A)
| multiply(double_divide(B,A),inverse(X_62)) = double_divide(X_62,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(A,B)),inverse(X_62)),double_divide(X_62,multiply(A,B))) ),[0,0],$fot(double_divide(B,A))]]) ).
cnf(refute_0_704,plain,
( multiply(inverse(multiply(A,B)),inverse(X_62)) != double_divide(X_62,multiply(A,B))
| multiply(double_divide(B,A),inverse(X_62)) = double_divide(X_62,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(A,B)),double_divide(B,A)) )],[refute_0_168,refute_0_703]) ).
cnf(refute_0_705,plain,
multiply(double_divide(B,A),inverse(X_62)) = double_divide(X_62,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,B)),inverse(X_62)),double_divide(X_62,multiply(A,B))) )],[refute_0_702,refute_0_704]) ).
cnf(refute_0_706,plain,
multiply(double_divide(X_102,X_100),inverse(X_101)) = double_divide(X_101,multiply(X_100,X_102)),
inference(subst,[],[refute_0_705:[bind(A,$fot(X_100)),bind(B,$fot(X_102)),bind(X_62,$fot(X_101))]]) ).
cnf(refute_0_707,plain,
( multiply(double_divide(X_102,X_100),inverse(X_101)) != double_divide(X_101,multiply(X_100,X_102))
| multiply(double_divide(X_102,X_100),inverse(X_101)) != inverse(multiply(X_102,multiply(X_100,X_101)))
| double_divide(X_101,multiply(X_100,X_102)) = inverse(multiply(X_102,multiply(X_100,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_102,X_100),inverse(X_101)),inverse(multiply(X_102,multiply(X_100,X_101)))) ),[0],$fot(double_divide(X_101,multiply(X_100,X_102)))]]) ).
cnf(refute_0_708,plain,
( multiply(double_divide(X_102,X_100),inverse(X_101)) != inverse(multiply(X_102,multiply(X_100,X_101)))
| double_divide(X_101,multiply(X_100,X_102)) = inverse(multiply(X_102,multiply(X_100,X_101))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_102,X_100),inverse(X_101)),double_divide(X_101,multiply(X_100,X_102))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
inverse(multiply(X_102,multiply(X_100,X_101))) = double_divide(multiply(X_100,X_101),X_102),
inference(subst,[],[refute_0_168:[bind(A,$fot(X_102)),bind(B,$fot(multiply(X_100,X_101)))]]) ).
cnf(refute_0_710,plain,
( double_divide(X_101,multiply(X_100,X_102)) != inverse(multiply(X_102,multiply(X_100,X_101)))
| inverse(multiply(X_102,multiply(X_100,X_101))) != double_divide(multiply(X_100,X_101),X_102)
| double_divide(X_101,multiply(X_100,X_102)) = double_divide(multiply(X_100,X_101),X_102) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_101,multiply(X_100,X_102)),double_divide(multiply(X_100,X_101),X_102)) ),[0],$fot(inverse(multiply(X_102,multiply(X_100,X_101))))]]) ).
cnf(refute_0_711,plain,
( double_divide(X_101,multiply(X_100,X_102)) != inverse(multiply(X_102,multiply(X_100,X_101)))
| double_divide(X_101,multiply(X_100,X_102)) = double_divide(multiply(X_100,X_101),X_102) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_102,multiply(X_100,X_101))),double_divide(multiply(X_100,X_101),X_102)) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
( multiply(double_divide(X_102,X_100),inverse(X_101)) != inverse(multiply(X_102,multiply(X_100,X_101)))
| double_divide(X_101,multiply(X_100,X_102)) = double_divide(multiply(X_100,X_101),X_102) ),
inference(resolve,[$cnf( $equal(double_divide(X_101,multiply(X_100,X_102)),inverse(multiply(X_102,multiply(X_100,X_101)))) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
double_divide(X_101,multiply(X_100,X_102)) = double_divide(multiply(X_100,X_101),X_102),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_102,X_100),inverse(X_101)),inverse(multiply(X_102,multiply(X_100,X_101)))) )],[refute_0_701,refute_0_712]) ).
cnf(refute_0_714,plain,
( double_divide(X_101,multiply(X_100,X_102)) != double_divide(multiply(X_100,X_101),X_102)
| double_divide(multiply(X_100,X_101),X_102) = double_divide(X_101,multiply(X_100,X_102)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_101,multiply(X_100,X_102)))),bind(Y,$fot(double_divide(multiply(X_100,X_101),X_102)))]]) ).
cnf(refute_0_715,plain,
double_divide(multiply(X_100,X_101),X_102) = double_divide(X_101,multiply(X_100,X_102)),
inference(resolve,[$cnf( $equal(double_divide(X_101,multiply(X_100,X_102)),double_divide(multiply(X_100,X_101),X_102)) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))) = double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))),
inference(subst,[],[refute_0_715:[bind(X_100,$fot(X_102)),bind(X_101,$fot(identity)),bind(X_102,$fot(double_divide(X_102,multiply(A,B))))]]) ).
cnf(refute_0_717,plain,
( double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))) != double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B))))
| double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))) != multiply(A,B)
| double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))) = multiply(A,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))))),bind(Y,$fot(double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))))),bind(Z,$fot(multiply(A,B)))]]) ).
cnf(refute_0_718,plain,
( double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))) != multiply(A,B)
| double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))),double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B))))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))) = multiply(A,B),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_102,double_divide(X_102,multiply(A,B)))),multiply(A,B)) )],[refute_0_694,refute_0_718]) ).
cnf(refute_0_720,plain,
double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) = double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))),
inference(subst,[],[refute_0_559:[bind(X_43,$fot(double_divide(X_102,multiply(A,B)))),bind(X_92,$fot(multiply(X_102,identity)))]]) ).
cnf(refute_0_721,plain,
( double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))) != multiply(A,B)
| double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) != double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B)))
| double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) = multiply(A,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)))),bind(Y,$fot(double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))))),bind(Z,$fot(multiply(A,B)))]]) ).
cnf(refute_0_722,plain,
( double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))) != multiply(A,B)
| double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)),double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B)))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) = multiply(A,B),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_102,identity),double_divide(X_102,multiply(A,B))),multiply(A,B)) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
( multiply(B,A) != double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))
| double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)) != multiply(A,B)
| multiply(B,A) = multiply(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(B,A),multiply(A,B)) ),[0],$fot(double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)))]]) ).
cnf(refute_0_725,plain,
( multiply(B,A) != double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))
| multiply(B,A) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity)),multiply(A,B)) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
( inverse(double_divide(A,B)) != double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))
| multiply(B,A) = multiply(A,B) ),
inference(resolve,[$cnf( $equal(multiply(B,A),double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))) )],[refute_0_672,refute_0_725]) ).
cnf(refute_0_727,plain,
multiply(B,A) = multiply(A,B),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),double_divide(double_divide(X_102,multiply(A,B)),multiply(X_102,identity))) )],[refute_0_669,refute_0_726]) ).
cnf(refute_0_728,plain,
( multiply(B,A) != multiply(A,B)
| multiply(A,B) = multiply(B,A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(B,A))),bind(Y,$fot(multiply(A,B)))]]) ).
cnf(refute_0_729,plain,
multiply(A,B) = multiply(B,A),
inference(resolve,[$cnf( $equal(multiply(B,A),multiply(A,B)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105) = multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)),
inference(subst,[],[refute_0_729:[bind(A,$fot(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),bind(B,$fot(X_105))]]) ).
cnf(refute_0_731,plain,
inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105),
inference(subst,[],[refute_0_65:[bind(A,$fot(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),bind(B,$fot(X_105))]]) ).
cnf(refute_0_732,plain,
( multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105) != multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105)
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))),bind(Y,$fot(multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105))),bind(Z,$fot(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))]]) ).
cnf(refute_0_733,plain,
( multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105) != multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105)) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104),X_105),multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
( multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) != multiply(multiply(X_75,X_76),X_104)
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = multiply(multiply(X_75,X_76),X_104) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))))),bind(Y,$fot(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)))),bind(Z,$fot(multiply(multiply(X_75,X_76),X_104)))]]) ).
cnf(refute_0_736,plain,
( multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)) != multiply(multiply(X_75,X_76),X_104)
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = multiply(multiply(X_75,X_76),X_104) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) = multiply(multiply(X_75,X_76),X_104),
inference(resolve,[$cnf( $equal(multiply(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104)),multiply(multiply(X_75,X_76),X_104)) )],[refute_0_640,refute_0_736]) ).
cnf(refute_0_738,plain,
( inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != multiply(multiply(X_75,X_76),X_104)
| inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != double_divide(double_divide(X_76,X_75),inverse(X_104))
| multiply(multiply(X_75,X_76),X_104) = double_divide(double_divide(X_76,X_75),inverse(X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),double_divide(double_divide(X_76,X_75),inverse(X_104))) ),[0],$fot(multiply(multiply(X_75,X_76),X_104))]]) ).
cnf(refute_0_739,plain,
( inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != double_divide(double_divide(X_76,X_75),inverse(X_104))
| multiply(multiply(X_75,X_76),X_104) = double_divide(double_divide(X_76,X_75),inverse(X_104)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),multiply(multiply(X_75,X_76),X_104)) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
multiply(X_104,inverse(double_divide(X_76,X_75))) = multiply(X_104,inverse(double_divide(X_76,X_75))),
introduced(tautology,[refl,[$fot(multiply(X_104,inverse(double_divide(X_76,X_75))))]]) ).
cnf(refute_0_741,plain,
( multiply(X_104,inverse(double_divide(X_76,X_75))) != multiply(X_104,inverse(double_divide(X_76,X_75)))
| inverse(double_divide(X_76,X_75)) != multiply(X_75,X_76)
| multiply(X_104,inverse(double_divide(X_76,X_75))) = multiply(X_104,multiply(X_75,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_104,inverse(double_divide(X_76,X_75))),multiply(X_104,inverse(double_divide(X_76,X_75)))) ),[1,1],$fot(multiply(X_75,X_76))]]) ).
cnf(refute_0_742,plain,
( inverse(double_divide(X_76,X_75)) != multiply(X_75,X_76)
| multiply(X_104,inverse(double_divide(X_76,X_75))) = multiply(X_104,multiply(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(multiply(X_104,inverse(double_divide(X_76,X_75))),multiply(X_104,inverse(double_divide(X_76,X_75)))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(X_104,inverse(double_divide(X_76,X_75))) = multiply(X_104,multiply(X_75,X_76)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_76,X_75)),multiply(X_75,X_76)) )],[refute_0_576,refute_0_742]) ).
cnf(refute_0_744,plain,
double_divide(double_divide(X_76,X_75),inverse(X_104)) = multiply(X_104,inverse(double_divide(X_76,X_75))),
inference(subst,[],[refute_0_404:[bind(X_13,$fot(X_104)),bind(X_62,$fot(double_divide(X_76,X_75)))]]) ).
cnf(refute_0_745,plain,
( multiply(X_104,inverse(double_divide(X_76,X_75))) != multiply(X_104,multiply(X_75,X_76))
| double_divide(double_divide(X_76,X_75),inverse(X_104)) != multiply(X_104,inverse(double_divide(X_76,X_75)))
| double_divide(double_divide(X_76,X_75),inverse(X_104)) = multiply(X_104,multiply(X_75,X_76)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_76,X_75),inverse(X_104)))),bind(Y,$fot(multiply(X_104,inverse(double_divide(X_76,X_75))))),bind(Z,$fot(multiply(X_104,multiply(X_75,X_76))))]]) ).
cnf(refute_0_746,plain,
( multiply(X_104,inverse(double_divide(X_76,X_75))) != multiply(X_104,multiply(X_75,X_76))
| double_divide(double_divide(X_76,X_75),inverse(X_104)) = multiply(X_104,multiply(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_76,X_75),inverse(X_104)),multiply(X_104,inverse(double_divide(X_76,X_75)))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
double_divide(double_divide(X_76,X_75),inverse(X_104)) = multiply(X_104,multiply(X_75,X_76)),
inference(resolve,[$cnf( $equal(multiply(X_104,inverse(double_divide(X_76,X_75))),multiply(X_104,multiply(X_75,X_76))) )],[refute_0_743,refute_0_746]) ).
cnf(refute_0_748,plain,
( multiply(multiply(X_75,X_76),X_104) != double_divide(double_divide(X_76,X_75),inverse(X_104))
| double_divide(double_divide(X_76,X_75),inverse(X_104)) != multiply(X_104,multiply(X_75,X_76))
| multiply(multiply(X_75,X_76),X_104) = multiply(X_104,multiply(X_75,X_76)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_75,X_76),X_104),multiply(X_104,multiply(X_75,X_76))) ),[0],$fot(double_divide(double_divide(X_76,X_75),inverse(X_104)))]]) ).
cnf(refute_0_749,plain,
( multiply(multiply(X_75,X_76),X_104) != double_divide(double_divide(X_76,X_75),inverse(X_104))
| multiply(multiply(X_75,X_76),X_104) = multiply(X_104,multiply(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_76,X_75),inverse(X_104)),multiply(X_104,multiply(X_75,X_76))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
( inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))) != double_divide(double_divide(X_76,X_75),inverse(X_104))
| multiply(multiply(X_75,X_76),X_104) = multiply(X_104,multiply(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_75,X_76),X_104),double_divide(double_divide(X_76,X_75),inverse(X_104))) )],[refute_0_739,refute_0_749]) ).
cnf(refute_0_751,plain,
multiply(multiply(X_75,X_76),X_104) = multiply(X_104,multiply(X_75,X_76)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_105,multiply(multiply(inverse(X_105),multiply(X_75,X_76)),X_104))),double_divide(double_divide(X_76,X_75),inverse(X_104))) )],[refute_0_575,refute_0_750]) ).
cnf(refute_0_752,plain,
multiply(multiply(double_divide(B,A),X_59),inverse(double_divide(B,A))) = X_59,
inference(subst,[],[refute_0_355:[bind(B,$fot(X_59)),bind(X_15,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_753,plain,
( multiply(multiply(double_divide(B,A),X_59),inverse(double_divide(B,A))) != X_59
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(double_divide(B,A),X_59),multiply(A,B)) = X_59 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(B,A),X_59),inverse(double_divide(B,A))),X_59) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_754,plain,
( multiply(multiply(double_divide(B,A),X_59),inverse(double_divide(B,A))) != X_59
| multiply(multiply(double_divide(B,A),X_59),multiply(A,B)) = X_59 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_65,refute_0_753]) ).
cnf(refute_0_755,plain,
multiply(multiply(double_divide(B,A),X_59),multiply(A,B)) = X_59,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(B,A),X_59),inverse(double_divide(B,A))),X_59) )],[refute_0_752,refute_0_754]) ).
cnf(refute_0_756,plain,
multiply(multiply(double_divide(B,A),X_59),multiply(A,B)) = multiply(multiply(A,B),multiply(double_divide(B,A),X_59)),
inference(subst,[],[refute_0_458:[bind(X_33,$fot(multiply(double_divide(B,A),X_59))),bind(X_92,$fot(multiply(A,B)))]]) ).
cnf(refute_0_757,plain,
( multiply(multiply(double_divide(B,A),X_59),multiply(A,B)) != X_59
| multiply(multiply(double_divide(B,A),X_59),multiply(A,B)) != multiply(multiply(A,B),multiply(double_divide(B,A),X_59))
| multiply(multiply(A,B),multiply(double_divide(B,A),X_59)) = X_59 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(B,A),X_59),multiply(A,B)),X_59) ),[0],$fot(multiply(multiply(A,B),multiply(double_divide(B,A),X_59)))]]) ).
cnf(refute_0_758,plain,
( multiply(multiply(double_divide(B,A),X_59),multiply(A,B)) != X_59
| multiply(multiply(A,B),multiply(double_divide(B,A),X_59)) = X_59 ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(B,A),X_59),multiply(A,B)),multiply(multiply(A,B),multiply(double_divide(B,A),X_59))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
multiply(multiply(A,B),multiply(double_divide(B,A),X_59)) = X_59,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(B,A),X_59),multiply(A,B)),X_59) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
multiply(multiply(X_114,X_115),multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101)))) = multiply(X_115,multiply(X_114,X_101)),
inference(subst,[],[refute_0_759:[bind(A,$fot(X_114)),bind(B,$fot(X_115)),bind(X_59,$fot(multiply(X_115,multiply(X_114,X_101))))]]) ).
cnf(refute_0_761,plain,
multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) = inverse(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))),
inference(subst,[],[refute_0_36:[bind(A,$fot(multiply(X_102,multiply(X_100,X_101)))),bind(B,$fot(double_divide(X_102,X_100)))]]) ).
cnf(refute_0_762,plain,
( multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) != inverse(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))))
| double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) != inverse(X_101)
| multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) = inverse(inverse(X_101)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)),inverse(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))))) ),[1,0],$fot(inverse(X_101))]]) ).
cnf(refute_0_763,plain,
( multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) != inverse(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))))
| multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) = inverse(inverse(X_101)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))),inverse(X_101)) )],[refute_0_698,refute_0_762]) ).
cnf(refute_0_764,plain,
multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) = inverse(inverse(X_101)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)),inverse(double_divide(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))))) )],[refute_0_761,refute_0_763]) ).
cnf(refute_0_765,plain,
inverse(double_divide(X_75,X_76)) = double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_75,X_76))),
inference(subst,[],[refute_0_509:[bind(X_77,$fot(double_divide(X_75,X_76)))]]) ).
cnf(refute_0_766,plain,
multiply(multiply(X_75,X_76),double_divide(X_75,X_76)) = identity,
inference(subst,[],[refute_0_666:[bind(A,$fot(X_75)),bind(B,$fot(X_76))]]) ).
cnf(refute_0_767,plain,
( multiply(multiply(X_75,X_76),double_divide(X_75,X_76)) != identity
| inverse(double_divide(X_75,X_76)) != double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_75,X_76)))
| inverse(double_divide(X_75,X_76)) = double_divide(double_divide(X_76,X_75),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_75,X_76)),double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_75,X_76)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_768,plain,
( inverse(double_divide(X_75,X_76)) != double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_75,X_76)))
| inverse(double_divide(X_75,X_76)) = double_divide(double_divide(X_76,X_75),identity) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_75,X_76),double_divide(X_75,X_76)),identity) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
inverse(double_divide(X_75,X_76)) = double_divide(double_divide(X_76,X_75),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_75,X_76)),double_divide(double_divide(X_76,X_75),multiply(multiply(X_75,X_76),double_divide(X_75,X_76)))) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
inverse(double_divide(X_75,X_76)) = multiply(X_76,X_75),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_76)),bind(B,$fot(X_75))]]) ).
cnf(refute_0_771,plain,
( inverse(double_divide(X_75,X_76)) != multiply(X_76,X_75)
| inverse(double_divide(X_75,X_76)) != double_divide(double_divide(X_76,X_75),identity)
| multiply(X_76,X_75) = double_divide(double_divide(X_76,X_75),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_75,X_76)),double_divide(double_divide(X_76,X_75),identity)) ),[0],$fot(multiply(X_76,X_75))]]) ).
cnf(refute_0_772,plain,
( inverse(double_divide(X_75,X_76)) != double_divide(double_divide(X_76,X_75),identity)
| multiply(X_76,X_75) = double_divide(double_divide(X_76,X_75),identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_75,X_76)),multiply(X_76,X_75)) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
double_divide(identity,double_divide(X_76,X_75)) = inverse(double_divide(X_76,X_75)),
inference(subst,[],[refute_0_283:[bind(X_13,$fot(double_divide(X_76,X_75)))]]) ).
cnf(refute_0_774,plain,
( double_divide(identity,double_divide(X_76,X_75)) != inverse(double_divide(X_76,X_75))
| inverse(double_divide(X_76,X_75)) != multiply(X_75,X_76)
| double_divide(identity,double_divide(X_76,X_75)) = multiply(X_75,X_76) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,double_divide(X_76,X_75)))),bind(Y,$fot(inverse(double_divide(X_76,X_75)))),bind(Z,$fot(multiply(X_75,X_76)))]]) ).
cnf(refute_0_775,plain,
( inverse(double_divide(X_76,X_75)) != multiply(X_75,X_76)
| double_divide(identity,double_divide(X_76,X_75)) = multiply(X_75,X_76) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_76,X_75)),inverse(double_divide(X_76,X_75))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
double_divide(identity,double_divide(X_76,X_75)) = multiply(X_75,X_76),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_76,X_75)),multiply(X_75,X_76)) )],[refute_0_576,refute_0_775]) ).
cnf(refute_0_777,plain,
double_divide(double_divide(X_76,X_75),identity) = double_divide(identity,double_divide(X_76,X_75)),
inference(subst,[],[refute_0_559:[bind(X_43,$fot(double_divide(X_76,X_75))),bind(X_92,$fot(identity))]]) ).
cnf(refute_0_778,plain,
( double_divide(double_divide(X_76,X_75),identity) != double_divide(identity,double_divide(X_76,X_75))
| double_divide(identity,double_divide(X_76,X_75)) != multiply(X_75,X_76)
| double_divide(double_divide(X_76,X_75),identity) = multiply(X_75,X_76) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_76,X_75),identity))),bind(Y,$fot(double_divide(identity,double_divide(X_76,X_75)))),bind(Z,$fot(multiply(X_75,X_76)))]]) ).
cnf(refute_0_779,plain,
( double_divide(identity,double_divide(X_76,X_75)) != multiply(X_75,X_76)
| double_divide(double_divide(X_76,X_75),identity) = multiply(X_75,X_76) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_76,X_75),identity),double_divide(identity,double_divide(X_76,X_75))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
double_divide(double_divide(X_76,X_75),identity) = multiply(X_75,X_76),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_76,X_75)),multiply(X_75,X_76)) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
( multiply(X_76,X_75) != double_divide(double_divide(X_76,X_75),identity)
| double_divide(double_divide(X_76,X_75),identity) != multiply(X_75,X_76)
| multiply(X_76,X_75) = multiply(X_75,X_76) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_76,X_75),multiply(X_75,X_76)) ),[0],$fot(double_divide(double_divide(X_76,X_75),identity))]]) ).
cnf(refute_0_782,plain,
( multiply(X_76,X_75) != double_divide(double_divide(X_76,X_75),identity)
| multiply(X_76,X_75) = multiply(X_75,X_76) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_76,X_75),identity),multiply(X_75,X_76)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
( inverse(double_divide(X_75,X_76)) != double_divide(double_divide(X_76,X_75),identity)
| multiply(X_76,X_75) = multiply(X_75,X_76) ),
inference(resolve,[$cnf( $equal(multiply(X_76,X_75),double_divide(double_divide(X_76,X_75),identity)) )],[refute_0_772,refute_0_782]) ).
cnf(refute_0_784,plain,
multiply(X_76,X_75) = multiply(X_75,X_76),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_75,X_76)),double_divide(double_divide(X_76,X_75),identity)) )],[refute_0_769,refute_0_783]) ).
cnf(refute_0_785,plain,
( multiply(X_76,X_75) != multiply(X_75,X_76)
| multiply(X_75,X_76) = multiply(X_76,X_75) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_76,X_75))),bind(Y,$fot(multiply(X_75,X_76)))]]) ).
cnf(refute_0_786,plain,
multiply(X_75,X_76) = multiply(X_76,X_75),
inference(resolve,[$cnf( $equal(multiply(X_76,X_75),multiply(X_75,X_76)) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) = multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))),
inference(subst,[],[refute_0_786:[bind(X_75,$fot(multiply(X_102,multiply(X_100,X_101)))),bind(X_76,$fot(double_divide(X_102,X_100)))]]) ).
cnf(refute_0_788,plain,
( multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) != multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))
| multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) != inverse(inverse(X_101))
| multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = inverse(inverse(X_101)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)),inverse(inverse(X_101))) ),[0],$fot(multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))))]]) ).
cnf(refute_0_789,plain,
( multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) != inverse(inverse(X_101))
| multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = inverse(inverse(X_101)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)),multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101)))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
inverse(inverse(X_101)) = X_101,
inference(subst,[],[refute_0_210:[bind(X_13,$fot(X_101))]]) ).
cnf(refute_0_791,plain,
( multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) != inverse(inverse(X_101))
| inverse(inverse(X_101)) != X_101
| multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = X_101 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))),X_101) ),[0],$fot(inverse(inverse(X_101)))]]) ).
cnf(refute_0_792,plain,
( multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) != inverse(inverse(X_101))
| multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = X_101 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_101)),X_101) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)) != inverse(inverse(X_101))
| multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = X_101 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))),inverse(inverse(X_101))) )],[refute_0_789,refute_0_792]) ).
cnf(refute_0_794,plain,
multiply(double_divide(X_102,X_100),multiply(X_102,multiply(X_100,X_101))) = X_101,
inference(resolve,[$cnf( $equal(multiply(multiply(X_102,multiply(X_100,X_101)),double_divide(X_102,X_100)),inverse(inverse(X_101))) )],[refute_0_764,refute_0_793]) ).
cnf(refute_0_795,plain,
multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101))) = X_101,
inference(subst,[],[refute_0_794:[bind(X_100,$fot(X_114)),bind(X_102,$fot(X_115))]]) ).
cnf(refute_0_796,plain,
( multiply(multiply(X_114,X_115),multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101)))) != multiply(X_115,multiply(X_114,X_101))
| multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101))) != X_101
| multiply(multiply(X_114,X_115),X_101) = multiply(X_115,multiply(X_114,X_101)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_114,X_115),multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101)))),multiply(X_115,multiply(X_114,X_101))) ),[0,1],$fot(X_101)]]) ).
cnf(refute_0_797,plain,
( multiply(multiply(X_114,X_115),multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101)))) != multiply(X_115,multiply(X_114,X_101))
| multiply(multiply(X_114,X_115),X_101) = multiply(X_115,multiply(X_114,X_101)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101))),X_101) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
multiply(multiply(X_114,X_115),X_101) = multiply(X_115,multiply(X_114,X_101)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_114,X_115),multiply(double_divide(X_115,X_114),multiply(X_115,multiply(X_114,X_101)))),multiply(X_115,multiply(X_114,X_101))) )],[refute_0_760,refute_0_797]) ).
cnf(refute_0_799,plain,
multiply(multiply(X_75,X_76),X_104) = multiply(X_76,multiply(X_75,X_104)),
inference(subst,[],[refute_0_798:[bind(X_101,$fot(X_104)),bind(X_114,$fot(X_75)),bind(X_115,$fot(X_76))]]) ).
cnf(refute_0_800,plain,
( multiply(multiply(X_75,X_76),X_104) != multiply(X_104,multiply(X_75,X_76))
| multiply(multiply(X_75,X_76),X_104) != multiply(X_76,multiply(X_75,X_104))
| multiply(X_76,multiply(X_75,X_104)) = multiply(X_104,multiply(X_75,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_75,X_76),X_104),multiply(X_104,multiply(X_75,X_76))) ),[0],$fot(multiply(X_76,multiply(X_75,X_104)))]]) ).
cnf(refute_0_801,plain,
( multiply(multiply(X_75,X_76),X_104) != multiply(X_104,multiply(X_75,X_76))
| multiply(X_76,multiply(X_75,X_104)) = multiply(X_104,multiply(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_75,X_76),X_104),multiply(X_76,multiply(X_75,X_104))) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
multiply(X_76,multiply(X_75,X_104)) = multiply(X_104,multiply(X_75,X_76)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_75,X_76),X_104),multiply(X_104,multiply(X_75,X_76))) )],[refute_0_751,refute_0_801]) ).
cnf(refute_0_803,plain,
( multiply(X_76,multiply(X_75,X_104)) != multiply(X_104,multiply(X_75,X_76))
| multiply(X_104,multiply(X_75,X_76)) = multiply(X_76,multiply(X_75,X_104)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_76,multiply(X_75,X_104)))),bind(Y,$fot(multiply(X_104,multiply(X_75,X_76))))]]) ).
cnf(refute_0_804,plain,
multiply(X_104,multiply(X_75,X_76)) = multiply(X_76,multiply(X_75,X_104)),
inference(resolve,[$cnf( $equal(multiply(X_76,multiply(X_75,X_104)),multiply(X_104,multiply(X_75,X_76))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(a3,c3)),
inference(subst,[],[refute_0_804:[bind(X_104,$fot(c3)),bind(X_75,$fot(a3)),bind(X_76,$fot(b3))]]) ).
cnf(refute_0_806,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(a3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(a3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_807,plain,
( multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(a3,c3))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_807,refute_0_462]) ).
cnf(refute_0_809,plain,
multiply(c3,b3) = multiply(b3,c3),
inference(subst,[],[refute_0_729:[bind(A,$fot(c3)),bind(B,$fot(b3))]]) ).
cnf(refute_0_810,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(c3,b3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(c3,b3)))]]) ).
cnf(refute_0_811,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(c3,b3))
| multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) ),[1,1],$fot(multiply(b3,c3))]]) ).
cnf(refute_0_812,plain,
( multiply(c3,b3) != multiply(b3,c3)
| multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(c3,b3))) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
multiply(a3,multiply(c3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,b3),multiply(b3,c3)) )],[refute_0_809,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(X_13,inverse(double_divide(X_128,X_129))) = double_divide(double_divide(X_128,X_129),inverse(X_13)),
inference(subst,[],[refute_0_402:[bind(X_62,$fot(double_divide(X_128,X_129)))]]) ).
cnf(refute_0_815,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),
inference(subst,[],[refute_0_115:[bind(X_10,$fot(identity)),bind(X_11,$fot(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))))]]) ).
cnf(refute_0_816,plain,
double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)) = X_18,
inference(subst,[],[refute_0_115:[bind(X_10,$fot(X_17)),bind(X_11,$fot(X_18))]]) ).
cnf(refute_0_817,plain,
( double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)) != X_18
| double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) ),[0,0,1,0],$fot(X_18)]]) ).
cnf(refute_0_818,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)),X_18) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) )],[refute_0_815,refute_0_818]) ).
cnf(refute_0_820,plain,
double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)) = inverse(X_18),
inference(subst,[],[refute_0_119:[bind(X_13,$fot(X_18))]]) ).
cnf(refute_0_821,plain,
( double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)) != double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)) != inverse(X_18)
| inverse(X_18) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) ),[0],$fot(inverse(X_18))]]) ).
cnf(refute_0_822,plain,
( double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)) != double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))
| inverse(X_18) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)),inverse(X_18)) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
inverse(X_18) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_18,inverse(identity))),inverse(identity)),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
inverse(double_divide(X_18,inverse(X_17))) = multiply(inverse(X_17),X_18),
inference(subst,[],[refute_0_65:[bind(A,$fot(inverse(X_17))),bind(B,$fot(X_18))]]) ).
cnf(refute_0_825,plain,
double_divide(double_divide(X_18,inverse(X_17)),identity) = inverse(double_divide(X_18,inverse(X_17))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_18,inverse(X_17))))]]) ).
cnf(refute_0_826,plain,
( double_divide(double_divide(X_18,inverse(X_17)),identity) != inverse(double_divide(X_18,inverse(X_17)))
| inverse(double_divide(X_18,inverse(X_17))) != multiply(inverse(X_17),X_18)
| double_divide(double_divide(X_18,inverse(X_17)),identity) = multiply(inverse(X_17),X_18) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_18,inverse(X_17)),identity))),bind(Y,$fot(inverse(double_divide(X_18,inverse(X_17))))),bind(Z,$fot(multiply(inverse(X_17),X_18)))]]) ).
cnf(refute_0_827,plain,
( inverse(double_divide(X_18,inverse(X_17))) != multiply(inverse(X_17),X_18)
| double_divide(double_divide(X_18,inverse(X_17)),identity) = multiply(inverse(X_17),X_18) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,inverse(X_17)),identity),inverse(double_divide(X_18,inverse(X_17)))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
double_divide(double_divide(X_18,inverse(X_17)),identity) = multiply(inverse(X_17),X_18),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_18,inverse(X_17))),multiply(inverse(X_17),X_18)) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) = double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))]]) ).
cnf(refute_0_830,plain,
( double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) != double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) = double_divide(double_divide(X_18,inverse(X_17)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)),double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_831,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) = double_divide(double_divide(X_18,inverse(X_17)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)),double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) = double_divide(double_divide(X_18,inverse(X_17)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_831]) ).
cnf(refute_0_833,plain,
( double_divide(double_divide(X_18,inverse(X_17)),identity) != multiply(inverse(X_17),X_18)
| double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) != double_divide(double_divide(X_18,inverse(X_17)),identity)
| double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) = multiply(inverse(X_17),X_18) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_18,inverse(X_17)),identity))),bind(Z,$fot(multiply(inverse(X_17),X_18)))]]) ).
cnf(refute_0_834,plain,
( double_divide(double_divide(X_18,inverse(X_17)),identity) != multiply(inverse(X_17),X_18)
| double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) = multiply(inverse(X_17),X_18) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)),double_divide(double_divide(X_18,inverse(X_17)),identity)) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) = multiply(inverse(X_17),X_18),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,inverse(X_17)),identity),multiply(inverse(X_17),X_18)) )],[refute_0_828,refute_0_834]) ).
cnf(refute_0_836,plain,
double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) = double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))))]]) ).
cnf(refute_0_837,plain,
( double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) != double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))
| double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) != multiply(inverse(X_17),X_18)
| double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) = double_divide(X_17,multiply(inverse(X_17),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) ),[1,1],$fot(multiply(inverse(X_17),X_18))]]) ).
cnf(refute_0_838,plain,
( double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)) != multiply(inverse(X_17),X_18)
| double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) = double_divide(X_17,multiply(inverse(X_17),X_18)) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) = double_divide(X_17,multiply(inverse(X_17),X_18)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)),multiply(inverse(X_17),X_18)) )],[refute_0_835,refute_0_838]) ).
cnf(refute_0_840,plain,
( double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))) != double_divide(X_17,multiply(inverse(X_17),X_18))
| inverse(X_18) != double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))
| inverse(X_18) = double_divide(X_17,multiply(inverse(X_17),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_18),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) ),[1],$fot(double_divide(X_17,multiply(inverse(X_17),X_18)))]]) ).
cnf(refute_0_841,plain,
( inverse(X_18) != double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))
| inverse(X_18) = double_divide(X_17,multiply(inverse(X_17),X_18)) ),
inference(resolve,[$cnf( $equal(double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity))),double_divide(X_17,multiply(inverse(X_17),X_18))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
inverse(X_18) = double_divide(X_17,multiply(inverse(X_17),X_18)),
inference(resolve,[$cnf( $equal(inverse(X_18),double_divide(X_17,double_divide(double_divide(X_18,inverse(X_17)),inverse(identity)))) )],[refute_0_823,refute_0_841]) ).
cnf(refute_0_843,plain,
inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(X_126,multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126))))),
inference(subst,[],[refute_0_842:[bind(X_17,$fot(X_126)),bind(X_18,$fot(double_divide(X_121,multiply(X_122,inverse(X_126)))))]]) ).
cnf(refute_0_844,plain,
multiply(multiply(multiply(X_75,inverse(X_13)),X_77),double_divide(inverse(X_13),X_75)) = X_77,
inference(subst,[],[refute_0_505:[bind(A,$fot(X_75)),bind(B,$fot(inverse(X_13))),bind(X_18,$fot(X_77))]]) ).
cnf(refute_0_845,plain,
multiply(inverse(X_75),X_13) = double_divide(inverse(X_13),X_75),
inference(subst,[],[refute_0_514:[bind(X_61,$fot(X_75))]]) ).
cnf(refute_0_846,plain,
( multiply(inverse(X_75),X_13) != double_divide(inverse(X_13),X_75)
| double_divide(inverse(X_13),X_75) = multiply(inverse(X_75),X_13) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_75),X_13))),bind(Y,$fot(double_divide(inverse(X_13),X_75)))]]) ).
cnf(refute_0_847,plain,
double_divide(inverse(X_13),X_75) = multiply(inverse(X_75),X_13),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),X_13),double_divide(inverse(X_13),X_75)) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
( multiply(multiply(multiply(X_75,inverse(X_13)),X_77),double_divide(inverse(X_13),X_75)) != X_77
| double_divide(inverse(X_13),X_75) != multiply(inverse(X_75),X_13)
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),double_divide(inverse(X_13),X_75)),X_77) ),[0,1],$fot(multiply(inverse(X_75),X_13))]]) ).
cnf(refute_0_849,plain,
( multiply(multiply(multiply(X_75,inverse(X_13)),X_77),double_divide(inverse(X_13),X_75)) != X_77
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)) = X_77 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),X_75),multiply(inverse(X_75),X_13)) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)) = X_77,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),double_divide(inverse(X_13),X_75)),X_77) )],[refute_0_844,refute_0_849]) ).
cnf(refute_0_851,plain,
multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)) = multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)),
inference(subst,[],[refute_0_458:[bind(X_33,$fot(multiply(multiply(X_75,inverse(X_13)),X_77))),bind(X_92,$fot(multiply(inverse(X_75),X_13)))]]) ).
cnf(refute_0_852,plain,
( multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)) != X_77
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)) != multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77))
| multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)),X_77) ),[0],$fot(multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)))]]) ).
cnf(refute_0_853,plain,
( multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)) != X_77
| multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)),multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) = X_77,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),multiply(inverse(X_75),X_13)),X_77) )],[refute_0_850,refute_0_853]) ).
cnf(refute_0_855,plain,
inverse(double_divide(double_divide(X_87,X_89),X_45)) = double_divide(X_87,multiply(X_89,multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45)))),
inference(subst,[],[refute_0_415:[bind(A,$fot(X_87)),bind(B,$fot(double_divide(double_divide(X_87,X_89),X_45))),bind(C,$fot(X_89))]]) ).
cnf(refute_0_856,plain,
multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45)) = inverse(X_45),
inference(subst,[],[refute_0_394:[bind(X_13,$fot(double_divide(X_87,X_89)))]]) ).
cnf(refute_0_857,plain,
( multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45)) != inverse(X_45)
| inverse(double_divide(double_divide(X_87,X_89),X_45)) != double_divide(X_87,multiply(X_89,multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45))))
| inverse(double_divide(double_divide(X_87,X_89),X_45)) = double_divide(X_87,multiply(X_89,inverse(X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_87,X_89),X_45)),double_divide(X_87,multiply(X_89,multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45))))) ),[1,1,1],$fot(inverse(X_45))]]) ).
cnf(refute_0_858,plain,
( inverse(double_divide(double_divide(X_87,X_89),X_45)) != double_divide(X_87,multiply(X_89,multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45))))
| inverse(double_divide(double_divide(X_87,X_89),X_45)) = double_divide(X_87,multiply(X_89,inverse(X_45))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45)),inverse(X_45)) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
inverse(double_divide(double_divide(X_87,X_89),X_45)) = double_divide(X_87,multiply(X_89,inverse(X_45))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_87,X_89),X_45)),double_divide(X_87,multiply(X_89,multiply(double_divide(X_87,X_89),double_divide(double_divide(X_87,X_89),X_45))))) )],[refute_0_855,refute_0_858]) ).
cnf(refute_0_860,plain,
inverse(double_divide(double_divide(X_87,X_89),X_45)) = multiply(X_45,double_divide(X_87,X_89)),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_45)),bind(B,$fot(double_divide(X_87,X_89)))]]) ).
cnf(refute_0_861,plain,
( inverse(double_divide(double_divide(X_87,X_89),X_45)) != multiply(X_45,double_divide(X_87,X_89))
| inverse(double_divide(double_divide(X_87,X_89),X_45)) != double_divide(X_87,multiply(X_89,inverse(X_45)))
| multiply(X_45,double_divide(X_87,X_89)) = double_divide(X_87,multiply(X_89,inverse(X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_87,X_89),X_45)),double_divide(X_87,multiply(X_89,inverse(X_45)))) ),[0],$fot(multiply(X_45,double_divide(X_87,X_89)))]]) ).
cnf(refute_0_862,plain,
( inverse(double_divide(double_divide(X_87,X_89),X_45)) != double_divide(X_87,multiply(X_89,inverse(X_45)))
| multiply(X_45,double_divide(X_87,X_89)) = double_divide(X_87,multiply(X_89,inverse(X_45))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_87,X_89),X_45)),multiply(X_45,double_divide(X_87,X_89))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
multiply(X_45,double_divide(X_87,X_89)) = double_divide(X_87,multiply(X_89,inverse(X_45))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_87,X_89),X_45)),double_divide(X_87,multiply(X_89,inverse(X_45)))) )],[refute_0_859,refute_0_862]) ).
cnf(refute_0_864,plain,
( multiply(X_45,double_divide(X_87,X_89)) != double_divide(X_87,multiply(X_89,inverse(X_45)))
| double_divide(X_87,multiply(X_89,inverse(X_45))) = multiply(X_45,double_divide(X_87,X_89)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_45,double_divide(X_87,X_89)))),bind(Y,$fot(double_divide(X_87,multiply(X_89,inverse(X_45)))))]]) ).
cnf(refute_0_865,plain,
double_divide(X_87,multiply(X_89,inverse(X_45))) = multiply(X_45,double_divide(X_87,X_89)),
inference(resolve,[$cnf( $equal(multiply(X_45,double_divide(X_87,X_89)),double_divide(X_87,multiply(X_89,inverse(X_45)))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
double_divide(X_77,multiply(X_75,inverse(X_13))) = multiply(X_13,double_divide(X_77,X_75)),
inference(subst,[],[refute_0_865:[bind(X_45,$fot(X_13)),bind(X_87,$fot(X_77)),bind(X_89,$fot(X_75))]]) ).
cnf(refute_0_867,plain,
double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))),
introduced(tautology,[refl,[$fot(double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))))]]) ).
cnf(refute_0_868,plain,
( double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) != double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))
| double_divide(X_77,multiply(X_75,inverse(X_13))) != multiply(X_13,double_divide(X_77,X_75))
| double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) = double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))),double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))) ),[1,1],$fot(multiply(X_13,double_divide(X_77,X_75)))]]) ).
cnf(refute_0_869,plain,
( double_divide(X_77,multiply(X_75,inverse(X_13))) != multiply(X_13,double_divide(X_77,X_75))
| double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) = double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))) ),
inference(resolve,[$cnf( $equal(double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))),double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) = double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))),
inference(resolve,[$cnf( $equal(double_divide(X_77,multiply(X_75,inverse(X_13))),multiply(X_13,double_divide(X_77,X_75))) )],[refute_0_866,refute_0_869]) ).
cnf(refute_0_871,plain,
double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))),
inference(subst,[],[refute_0_559:[bind(X_43,$fot(double_divide(X_77,multiply(X_75,inverse(X_13))))),bind(X_92,$fot(X_75))]]) ).
cnf(refute_0_872,plain,
multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)) = double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75),
inference(subst,[],[refute_0_628:[bind(A,$fot(multiply(X_75,inverse(X_13)))),bind(B,$fot(X_77)),bind(X_61,$fot(X_75))]]) ).
cnf(refute_0_873,plain,
( multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)) != double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75)
| double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75) != double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))
| multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)))),bind(Y,$fot(double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75))),bind(Z,$fot(double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))))]]) ).
cnf(refute_0_874,plain,
( double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75) != double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))
| multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)),double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75)) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_77,multiply(X_75,inverse(X_13))),X_75),double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))))) = inverse(inverse(multiply(inverse(X_105),X_103))),
inference(subst,[],[refute_0_571:[bind(X_13,$fot(X_103)),bind(X_88,$fot(inverse(multiply(inverse(X_105),X_103)))),bind(X_89,$fot(X_105))]]) ).
cnf(refute_0_877,plain,
multiply(A,inverse(A)) = inverse(double_divide(inverse(A),A)),
inference(subst,[],[refute_0_36:[bind(B,$fot(inverse(A)))]]) ).
cnf(refute_0_878,plain,
identity = double_divide(inverse(X_20),inverse(inverse(X_20))),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_20)))]]) ).
cnf(refute_0_879,plain,
inverse(inverse(X_20)) = X_20,
inference(subst,[],[refute_0_210:[bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_880,plain,
( identity != double_divide(inverse(X_20),inverse(inverse(X_20)))
| inverse(inverse(X_20)) != X_20
| identity = double_divide(inverse(X_20),X_20) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(X_20),inverse(inverse(X_20)))) ),[1,1],$fot(X_20)]]) ).
cnf(refute_0_881,plain,
( identity != double_divide(inverse(X_20),inverse(inverse(X_20)))
| identity = double_divide(inverse(X_20),X_20) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_20)),X_20) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
identity = double_divide(inverse(X_20),X_20),
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_20),inverse(inverse(X_20)))) )],[refute_0_878,refute_0_881]) ).
cnf(refute_0_883,plain,
identity = double_divide(inverse(A),A),
inference(subst,[],[refute_0_882:[bind(X_20,$fot(A))]]) ).
cnf(refute_0_884,plain,
( identity != double_divide(inverse(A),A)
| double_divide(inverse(A),A) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(A),A)))]]) ).
cnf(refute_0_885,plain,
double_divide(inverse(A),A) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(A),A)) )],[refute_0_883,refute_0_884]) ).
cnf(refute_0_886,plain,
( multiply(A,inverse(A)) != inverse(double_divide(inverse(A),A))
| double_divide(inverse(A),A) != identity
| multiply(A,inverse(A)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(A)),inverse(double_divide(inverse(A),A))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_887,plain,
( multiply(A,inverse(A)) != inverse(double_divide(inverse(A),A))
| multiply(A,inverse(A)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(A),A),identity) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
multiply(A,inverse(A)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),inverse(double_divide(inverse(A),A))) )],[refute_0_877,refute_0_887]) ).
cnf(refute_0_889,plain,
( multiply(A,inverse(A)) != inverse(identity)
| inverse(identity) != identity
| multiply(A,inverse(A)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,inverse(A)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_890,plain,
( multiply(A,inverse(A)) != inverse(identity)
| multiply(A,inverse(A)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_143,refute_0_889]) ).
cnf(refute_0_891,plain,
multiply(A,inverse(A)) = identity,
inference(resolve,[$cnf( $equal(multiply(A,inverse(A)),inverse(identity)) )],[refute_0_888,refute_0_890]) ).
cnf(refute_0_892,plain,
multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))) = identity,
inference(subst,[],[refute_0_891:[bind(A,$fot(multiply(inverse(X_105),X_103)))]]) ).
cnf(refute_0_893,plain,
( multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))))) != inverse(inverse(multiply(inverse(X_105),X_103)))
| multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))) != identity
| multiply(X_103,double_divide(X_105,identity)) = inverse(inverse(multiply(inverse(X_105),X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))))),inverse(inverse(multiply(inverse(X_105),X_103)))) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_894,plain,
( multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))))) != inverse(inverse(multiply(inverse(X_105),X_103)))
| multiply(X_103,double_divide(X_105,identity)) = inverse(inverse(multiply(inverse(X_105),X_103))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))),identity) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
multiply(X_103,double_divide(X_105,identity)) = inverse(inverse(multiply(inverse(X_105),X_103))),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),inverse(multiply(inverse(X_105),X_103))))),inverse(inverse(multiply(inverse(X_105),X_103)))) )],[refute_0_876,refute_0_894]) ).
cnf(refute_0_896,plain,
double_divide(X_105,identity) = inverse(X_105),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_105))]]) ).
cnf(refute_0_897,plain,
multiply(X_103,double_divide(X_105,identity)) = multiply(X_103,double_divide(X_105,identity)),
introduced(tautology,[refl,[$fot(multiply(X_103,double_divide(X_105,identity)))]]) ).
cnf(refute_0_898,plain,
( multiply(X_103,double_divide(X_105,identity)) != multiply(X_103,double_divide(X_105,identity))
| double_divide(X_105,identity) != inverse(X_105)
| multiply(X_103,double_divide(X_105,identity)) = multiply(X_103,inverse(X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,double_divide(X_105,identity)),multiply(X_103,double_divide(X_105,identity))) ),[1,1],$fot(inverse(X_105))]]) ).
cnf(refute_0_899,plain,
( double_divide(X_105,identity) != inverse(X_105)
| multiply(X_103,double_divide(X_105,identity)) = multiply(X_103,inverse(X_105)) ),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,identity)),multiply(X_103,double_divide(X_105,identity))) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
multiply(X_103,double_divide(X_105,identity)) = multiply(X_103,inverse(X_105)),
inference(resolve,[$cnf( $equal(double_divide(X_105,identity),inverse(X_105)) )],[refute_0_896,refute_0_899]) ).
cnf(refute_0_901,plain,
( multiply(X_103,double_divide(X_105,identity)) != multiply(X_103,inverse(X_105))
| multiply(X_103,double_divide(X_105,identity)) != inverse(inverse(multiply(inverse(X_105),X_103)))
| multiply(X_103,inverse(X_105)) = inverse(inverse(multiply(inverse(X_105),X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,double_divide(X_105,identity)),inverse(inverse(multiply(inverse(X_105),X_103)))) ),[0],$fot(multiply(X_103,inverse(X_105)))]]) ).
cnf(refute_0_902,plain,
( multiply(X_103,double_divide(X_105,identity)) != inverse(inverse(multiply(inverse(X_105),X_103)))
| multiply(X_103,inverse(X_105)) = inverse(inverse(multiply(inverse(X_105),X_103))) ),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,identity)),multiply(X_103,inverse(X_105))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
inverse(inverse(multiply(inverse(X_105),X_103))) = multiply(inverse(X_105),X_103),
inference(subst,[],[refute_0_210:[bind(X_13,$fot(multiply(inverse(X_105),X_103)))]]) ).
cnf(refute_0_904,plain,
( multiply(X_103,inverse(X_105)) != inverse(inverse(multiply(inverse(X_105),X_103)))
| inverse(inverse(multiply(inverse(X_105),X_103))) != multiply(inverse(X_105),X_103)
| multiply(X_103,inverse(X_105)) = multiply(inverse(X_105),X_103) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_103,inverse(X_105)),multiply(inverse(X_105),X_103)) ),[0],$fot(inverse(inverse(multiply(inverse(X_105),X_103))))]]) ).
cnf(refute_0_905,plain,
( multiply(X_103,inverse(X_105)) != inverse(inverse(multiply(inverse(X_105),X_103)))
| multiply(X_103,inverse(X_105)) = multiply(inverse(X_105),X_103) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_105),X_103))),multiply(inverse(X_105),X_103)) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
( multiply(X_103,double_divide(X_105,identity)) != inverse(inverse(multiply(inverse(X_105),X_103)))
| multiply(X_103,inverse(X_105)) = multiply(inverse(X_105),X_103) ),
inference(resolve,[$cnf( $equal(multiply(X_103,inverse(X_105)),inverse(inverse(multiply(inverse(X_105),X_103)))) )],[refute_0_902,refute_0_905]) ).
cnf(refute_0_907,plain,
multiply(X_103,inverse(X_105)) = multiply(inverse(X_105),X_103),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,identity)),inverse(inverse(multiply(inverse(X_105),X_103)))) )],[refute_0_895,refute_0_906]) ).
cnf(refute_0_908,plain,
multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) = multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)),
inference(subst,[],[refute_0_907:[bind(X_103,$fot(multiply(multiply(X_75,inverse(X_13)),X_77))),bind(X_105,$fot(X_75))]]) ).
cnf(refute_0_909,plain,
( multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) != multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77))
| multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)) != double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)))),bind(Y,$fot(multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)))),bind(Z,$fot(double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))))]]) ).
cnf(refute_0_910,plain,
( multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)) != double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)),multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) = double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),multiply(multiply(X_75,inverse(X_13)),X_77)),double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))) )],[refute_0_875,refute_0_910]) ).
cnf(refute_0_912,plain,
( multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) != double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))
| double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) != double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) = double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)))),bind(Y,$fot(double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))))),bind(Z,$fot(double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))))]]) ).
cnf(refute_0_913,plain,
( double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))) != double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) = double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)),double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13))))) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) = double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))),
inference(resolve,[$cnf( $equal(double_divide(X_75,double_divide(X_77,multiply(X_75,inverse(X_13)))),double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) )],[refute_0_870,refute_0_913]) ).
cnf(refute_0_915,plain,
multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))) = multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))),
introduced(tautology,[refl,[$fot(multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))))]]) ).
cnf(refute_0_916,plain,
( multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))) != multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)))
| multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) != double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))
| multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))) = multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))),multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)))) ),[1,1],$fot(double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))))]]) ).
cnf(refute_0_917,plain,
( multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)) != double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))
| multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))) = multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) ),
inference(resolve,[$cnf( $equal(multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))),multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))) = multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)),double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) )],[refute_0_914,refute_0_917]) ).
cnf(refute_0_919,plain,
multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))))) = inverse(double_divide(X_90,multiply(inverse(X_105),X_103))),
inference(subst,[],[refute_0_571:[bind(X_13,$fot(X_103)),bind(X_88,$fot(double_divide(X_90,multiply(inverse(X_105),X_103)))),bind(X_89,$fot(X_105))]]) ).
cnf(refute_0_920,plain,
multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13)),
inference(subst,[],[refute_0_402:[bind(X_62,$fot(multiply(inverse(inverse(X_13)),X_90)))]]) ).
cnf(refute_0_921,plain,
inverse(X_90) = double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13)),
inference(subst,[],[refute_0_437:[bind(X_88,$fot(X_90)),bind(X_89,$fot(inverse(X_13)))]]) ).
cnf(refute_0_922,plain,
( inverse(X_90) != double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13))
| double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13)) = inverse(X_90) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_90))),bind(Y,$fot(double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13))))]]) ).
cnf(refute_0_923,plain,
double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13)) = inverse(X_90),
inference(resolve,[$cnf( $equal(inverse(X_90),double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
( multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) != double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13))
| double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13)) != inverse(X_90)
| multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = inverse(X_90) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),inverse(X_90)) ),[0],$fot(double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13)))]]) ).
cnf(refute_0_925,plain,
( multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) != double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13))
| multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = inverse(X_90) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13)),inverse(X_90)) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = inverse(X_90),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),double_divide(multiply(inverse(inverse(X_13)),X_90),inverse(X_13))) )],[refute_0_920,refute_0_925]) ).
cnf(refute_0_927,plain,
multiply(inverse(X_13),inverse(X_90)) = double_divide(X_90,X_13),
inference(subst,[],[refute_0_398:[bind(X_45,$fot(X_13)),bind(X_60,$fot(X_90))]]) ).
cnf(refute_0_928,plain,
double_divide(X_90,inverse(inverse(X_13))) = multiply(inverse(X_13),inverse(X_90)),
inference(subst,[],[refute_0_404:[bind(X_13,$fot(inverse(X_13))),bind(X_62,$fot(X_90))]]) ).
cnf(refute_0_929,plain,
( multiply(inverse(X_13),inverse(X_90)) != double_divide(X_90,X_13)
| double_divide(X_90,inverse(inverse(X_13))) != multiply(inverse(X_13),inverse(X_90))
| double_divide(X_90,inverse(inverse(X_13))) = double_divide(X_90,X_13) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(X_90,inverse(inverse(X_13))))),bind(Y,$fot(multiply(inverse(X_13),inverse(X_90)))),bind(Z,$fot(double_divide(X_90,X_13)))]]) ).
cnf(refute_0_930,plain,
( multiply(inverse(X_13),inverse(X_90)) != double_divide(X_90,X_13)
| double_divide(X_90,inverse(inverse(X_13))) = double_divide(X_90,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(X_90,inverse(inverse(X_13))),multiply(inverse(X_13),inverse(X_90))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
double_divide(X_90,inverse(inverse(X_13))) = double_divide(X_90,X_13),
inference(resolve,[$cnf( $equal(multiply(inverse(X_13),inverse(X_90)),double_divide(X_90,X_13)) )],[refute_0_927,refute_0_930]) ).
cnf(refute_0_932,plain,
inverse(multiply(inverse(inverse(X_13)),X_90)) = double_divide(X_90,inverse(inverse(X_13))),
inference(subst,[],[refute_0_168:[bind(A,$fot(inverse(inverse(X_13)))),bind(B,$fot(X_90))]]) ).
cnf(refute_0_933,plain,
( double_divide(X_90,inverse(inverse(X_13))) != double_divide(X_90,X_13)
| inverse(multiply(inverse(inverse(X_13)),X_90)) != double_divide(X_90,inverse(inverse(X_13)))
| inverse(multiply(inverse(inverse(X_13)),X_90)) = double_divide(X_90,X_13) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(multiply(inverse(inverse(X_13)),X_90)))),bind(Y,$fot(double_divide(X_90,inverse(inverse(X_13))))),bind(Z,$fot(double_divide(X_90,X_13)))]]) ).
cnf(refute_0_934,plain,
( double_divide(X_90,inverse(inverse(X_13))) != double_divide(X_90,X_13)
| inverse(multiply(inverse(inverse(X_13)),X_90)) = double_divide(X_90,X_13) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),X_90)),double_divide(X_90,inverse(inverse(X_13)))) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
inverse(multiply(inverse(inverse(X_13)),X_90)) = double_divide(X_90,X_13),
inference(resolve,[$cnf( $equal(double_divide(X_90,inverse(inverse(X_13))),double_divide(X_90,X_13)) )],[refute_0_931,refute_0_934]) ).
cnf(refute_0_936,plain,
multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),
introduced(tautology,[refl,[$fot(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))))]]) ).
cnf(refute_0_937,plain,
( multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) != multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90)))
| inverse(multiply(inverse(inverse(X_13)),X_90)) != double_divide(X_90,X_13)
| multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = multiply(X_13,double_divide(X_90,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90)))) ),[1,1],$fot(double_divide(X_90,X_13))]]) ).
cnf(refute_0_938,plain,
( inverse(multiply(inverse(inverse(X_13)),X_90)) != double_divide(X_90,X_13)
| multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = multiply(X_13,double_divide(X_90,X_13)) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90)))) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) = multiply(X_13,double_divide(X_90,X_13)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_13)),X_90)),double_divide(X_90,X_13)) )],[refute_0_935,refute_0_938]) ).
cnf(refute_0_940,plain,
( multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) != multiply(X_13,double_divide(X_90,X_13))
| multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) != inverse(X_90)
| multiply(X_13,double_divide(X_90,X_13)) = inverse(X_90) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),inverse(X_90)) ),[0],$fot(multiply(X_13,double_divide(X_90,X_13)))]]) ).
cnf(refute_0_941,plain,
( multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))) != inverse(X_90)
| multiply(X_13,double_divide(X_90,X_13)) = inverse(X_90) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),multiply(X_13,double_divide(X_90,X_13))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
multiply(X_13,double_divide(X_90,X_13)) = inverse(X_90),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(multiply(inverse(inverse(X_13)),X_90))),inverse(X_90)) )],[refute_0_926,refute_0_941]) ).
cnf(refute_0_943,plain,
multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))) = inverse(X_90),
inference(subst,[],[refute_0_942:[bind(X_13,$fot(multiply(inverse(X_105),X_103)))]]) ).
cnf(refute_0_944,plain,
( multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))))) != inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))
| multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))) != inverse(X_90)
| multiply(X_103,double_divide(X_105,inverse(X_90))) = inverse(double_divide(X_90,multiply(inverse(X_105),X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))))),inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))) ),[0,1,1],$fot(inverse(X_90))]]) ).
cnf(refute_0_945,plain,
( multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))))) != inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))
| multiply(X_103,double_divide(X_105,inverse(X_90))) = inverse(double_divide(X_90,multiply(inverse(X_105),X_103))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))),inverse(X_90)) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
multiply(X_103,double_divide(X_105,inverse(X_90))) = inverse(double_divide(X_90,multiply(inverse(X_105),X_103))),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,multiply(multiply(inverse(X_105),X_103),double_divide(X_90,multiply(inverse(X_105),X_103))))),inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))) )],[refute_0_919,refute_0_945]) ).
cnf(refute_0_947,plain,
double_divide(X_105,inverse(X_90)) = multiply(X_90,inverse(X_105)),
inference(subst,[],[refute_0_404:[bind(X_13,$fot(X_90)),bind(X_62,$fot(X_105))]]) ).
cnf(refute_0_948,plain,
multiply(X_103,double_divide(X_105,inverse(X_90))) = multiply(X_103,double_divide(X_105,inverse(X_90))),
introduced(tautology,[refl,[$fot(multiply(X_103,double_divide(X_105,inverse(X_90))))]]) ).
cnf(refute_0_949,plain,
( multiply(X_103,double_divide(X_105,inverse(X_90))) != multiply(X_103,double_divide(X_105,inverse(X_90)))
| double_divide(X_105,inverse(X_90)) != multiply(X_90,inverse(X_105))
| multiply(X_103,double_divide(X_105,inverse(X_90))) = multiply(X_103,multiply(X_90,inverse(X_105))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,double_divide(X_105,inverse(X_90))),multiply(X_103,double_divide(X_105,inverse(X_90)))) ),[1,1],$fot(multiply(X_90,inverse(X_105)))]]) ).
cnf(refute_0_950,plain,
( double_divide(X_105,inverse(X_90)) != multiply(X_90,inverse(X_105))
| multiply(X_103,double_divide(X_105,inverse(X_90))) = multiply(X_103,multiply(X_90,inverse(X_105))) ),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,inverse(X_90))),multiply(X_103,double_divide(X_105,inverse(X_90)))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
multiply(X_103,double_divide(X_105,inverse(X_90))) = multiply(X_103,multiply(X_90,inverse(X_105))),
inference(resolve,[$cnf( $equal(double_divide(X_105,inverse(X_90)),multiply(X_90,inverse(X_105))) )],[refute_0_947,refute_0_950]) ).
cnf(refute_0_952,plain,
( multiply(X_103,double_divide(X_105,inverse(X_90))) != multiply(X_103,multiply(X_90,inverse(X_105)))
| multiply(X_103,double_divide(X_105,inverse(X_90))) != inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))
| multiply(X_103,multiply(X_90,inverse(X_105))) = inverse(double_divide(X_90,multiply(inverse(X_105),X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,double_divide(X_105,inverse(X_90))),inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))) ),[0],$fot(multiply(X_103,multiply(X_90,inverse(X_105))))]]) ).
cnf(refute_0_953,plain,
( multiply(X_103,double_divide(X_105,inverse(X_90))) != inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))
| multiply(X_103,multiply(X_90,inverse(X_105))) = inverse(double_divide(X_90,multiply(inverse(X_105),X_103))) ),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,inverse(X_90))),multiply(X_103,multiply(X_90,inverse(X_105)))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
inverse(double_divide(X_90,multiply(inverse(X_105),X_103))) = multiply(multiply(inverse(X_105),X_103),X_90),
inference(subst,[],[refute_0_65:[bind(A,$fot(multiply(inverse(X_105),X_103))),bind(B,$fot(X_90))]]) ).
cnf(refute_0_955,plain,
( multiply(X_103,multiply(X_90,inverse(X_105))) != inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))
| inverse(double_divide(X_90,multiply(inverse(X_105),X_103))) != multiply(multiply(inverse(X_105),X_103),X_90)
| multiply(X_103,multiply(X_90,inverse(X_105))) = multiply(multiply(inverse(X_105),X_103),X_90) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_103,multiply(X_90,inverse(X_105))),multiply(multiply(inverse(X_105),X_103),X_90)) ),[0],$fot(inverse(double_divide(X_90,multiply(inverse(X_105),X_103))))]]) ).
cnf(refute_0_956,plain,
( multiply(X_103,multiply(X_90,inverse(X_105))) != inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))
| multiply(X_103,multiply(X_90,inverse(X_105))) = multiply(multiply(inverse(X_105),X_103),X_90) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_90,multiply(inverse(X_105),X_103))),multiply(multiply(inverse(X_105),X_103),X_90)) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
( multiply(X_103,double_divide(X_105,inverse(X_90))) != inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))
| multiply(X_103,multiply(X_90,inverse(X_105))) = multiply(multiply(inverse(X_105),X_103),X_90) ),
inference(resolve,[$cnf( $equal(multiply(X_103,multiply(X_90,inverse(X_105))),inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))) )],[refute_0_953,refute_0_956]) ).
cnf(refute_0_958,plain,
multiply(X_103,multiply(X_90,inverse(X_105))) = multiply(multiply(inverse(X_105),X_103),X_90),
inference(resolve,[$cnf( $equal(multiply(X_103,double_divide(X_105,inverse(X_90))),inverse(double_divide(X_90,multiply(inverse(X_105),X_103)))) )],[refute_0_946,refute_0_957]) ).
cnf(refute_0_959,plain,
( multiply(X_103,multiply(X_90,inverse(X_105))) != multiply(multiply(inverse(X_105),X_103),X_90)
| multiply(multiply(inverse(X_105),X_103),X_90) = multiply(X_103,multiply(X_90,inverse(X_105))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_103,multiply(X_90,inverse(X_105))))),bind(Y,$fot(multiply(multiply(inverse(X_105),X_103),X_90)))]]) ).
cnf(refute_0_960,plain,
multiply(multiply(inverse(X_105),X_103),X_90) = multiply(X_103,multiply(X_90,inverse(X_105))),
inference(resolve,[$cnf( $equal(multiply(X_103,multiply(X_90,inverse(X_105))),multiply(multiply(inverse(X_105),X_103),X_90)) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) = multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))),
inference(subst,[],[refute_0_960:[bind(X_103,$fot(X_13)),bind(X_105,$fot(X_75)),bind(X_90,$fot(multiply(multiply(X_75,inverse(X_13)),X_77)))]]) ).
cnf(refute_0_962,plain,
( multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))) != multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))))
| multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) != multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)))
| multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) = multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)))),bind(Y,$fot(multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))))),bind(Z,$fot(multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))))))]]) ).
cnf(refute_0_963,plain,
( multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))) != multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))))
| multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) = multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)),multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75)))) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) = multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))),
inference(resolve,[$cnf( $equal(multiply(X_13,multiply(multiply(multiply(X_75,inverse(X_13)),X_77),inverse(X_75))),multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))))) )],[refute_0_918,refute_0_963]) ).
cnf(refute_0_965,plain,
( multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) != X_77
| multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) != multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))))
| multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) = X_77 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)),X_77) ),[0],$fot(multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))))]]) ).
cnf(refute_0_966,plain,
( multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)) != X_77
| multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) = X_77 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)),multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75))))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
multiply(X_13,double_divide(X_75,multiply(X_13,double_divide(X_77,X_75)))) = X_77,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_75),X_13),multiply(multiply(X_75,inverse(X_13)),X_77)),X_77) )],[refute_0_854,refute_0_966]) ).
cnf(refute_0_968,plain,
multiply(X_117,double_divide(multiply(X_117,X_45),multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))))) = double_divide(X_60,X_45),
inference(subst,[],[refute_0_967:[bind(X_13,$fot(X_117)),bind(X_75,$fot(multiply(X_117,X_45))),bind(X_77,$fot(double_divide(X_60,X_45)))]]) ).
cnf(refute_0_969,plain,
inverse(inverse(X_60)) = double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,multiply(inverse(X_45),inverse(X_60)))),
inference(subst,[],[refute_0_647:[bind(X_13,$fot(inverse(X_45))),bind(X_88,$fot(inverse(X_60))),bind(X_89,$fot(X_102))]]) ).
cnf(refute_0_970,plain,
( multiply(inverse(X_45),inverse(X_60)) != double_divide(X_60,X_45)
| inverse(inverse(X_60)) != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,multiply(inverse(X_45),inverse(X_60))))
| inverse(inverse(X_60)) = double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_60)),double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,multiply(inverse(X_45),inverse(X_60))))) ),[1,1,1],$fot(double_divide(X_60,X_45))]]) ).
cnf(refute_0_971,plain,
( inverse(inverse(X_60)) != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,multiply(inverse(X_45),inverse(X_60))))
| inverse(inverse(X_60)) = double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),inverse(X_60)),double_divide(X_60,X_45)) )],[refute_0_398,refute_0_970]) ).
cnf(refute_0_972,plain,
inverse(inverse(X_60)) = double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,multiply(inverse(X_45),inverse(X_60))))) )],[refute_0_969,refute_0_971]) ).
cnf(refute_0_973,plain,
( inverse(inverse(X_60)) != X_60
| inverse(inverse(X_60)) != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))
| X_60 = double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_60)),double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))) ),[0],$fot(X_60)]]) ).
cnf(refute_0_974,plain,
( inverse(inverse(X_60)) != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))
| X_60 = double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),X_60) )],[refute_0_443,refute_0_973]) ).
cnf(refute_0_975,plain,
double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45) = double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)),
inference(subst,[],[refute_0_715:[bind(X_100,$fot(X_102)),bind(X_101,$fot(double_divide(X_60,X_45))),bind(X_102,$fot(X_45))]]) ).
cnf(refute_0_976,plain,
inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45),
inference(subst,[],[refute_0_168:[bind(A,$fot(X_45)),bind(B,$fot(multiply(X_102,double_divide(X_60,X_45))))]]) ).
cnf(refute_0_977,plain,
( double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45) != double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))
| inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) != double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45)
| inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))),bind(Y,$fot(double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45))),bind(Z,$fot(double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))))]]) ).
cnf(refute_0_978,plain,
( double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45) != double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))
| inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45)) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_102,double_divide(X_60,X_45)),X_45),double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) )],[refute_0_975,refute_0_978]) ).
cnf(refute_0_980,plain,
multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) = multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))),
introduced(tautology,[refl,[$fot(multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))))]]) ).
cnf(refute_0_981,plain,
( multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) != multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))
| inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) != double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))
| multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))),multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))) ),[1,1],$fot(double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))]]) ).
cnf(refute_0_982,plain,
( inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) != double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))
| multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(resolve,[$cnf( $equal(multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))),multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) )],[refute_0_979,refute_0_982]) ).
cnf(refute_0_984,plain,
multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102) = multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))),
inference(subst,[],[refute_0_729:[bind(A,$fot(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))),bind(B,$fot(X_102))]]) ).
cnf(refute_0_985,plain,
double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102),
inference(subst,[],[refute_0_523:[bind(X_13,$fot(X_102)),bind(X_61,$fot(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))]]) ).
cnf(refute_0_986,plain,
( multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102) != multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))
| double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) != multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102)
| double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))),bind(Y,$fot(multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102))),bind(Z,$fot(multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))))]]) ).
cnf(refute_0_987,plain,
( multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102) != multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))
| double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102)) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),X_102),multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))) )],[refute_0_984,refute_0_987]) ).
cnf(refute_0_989,plain,
( multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) != multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))
| double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) != multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))
| double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))),bind(Y,$fot(multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))))),bind(Z,$fot(multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))))]]) ).
cnf(refute_0_990,plain,
( multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) != multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))
| double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))),
inference(resolve,[$cnf( $equal(multiply(X_102,inverse(multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))),multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))) )],[refute_0_983,refute_0_990]) ).
cnf(refute_0_992,plain,
double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) = double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),
inference(subst,[],[refute_0_715:[bind(X_100,$fot(X_45)),bind(X_101,$fot(inverse(X_102))),bind(X_102,$fot(multiply(X_102,double_divide(X_60,X_45))))]]) ).
cnf(refute_0_993,plain,
( double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) != double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))
| double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) != multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))
| double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))))),bind(Y,$fot(double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))))),bind(Z,$fot(multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))))]]) ).
cnf(refute_0_994,plain,
( double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))) != multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))
| double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))),double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45))))) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_102),multiply(X_45,multiply(X_102,double_divide(X_60,X_45)))),multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))) )],[refute_0_991,refute_0_994]) ).
cnf(refute_0_996,plain,
double_divide(X_102,inverse(X_45)) = multiply(X_45,inverse(X_102)),
inference(subst,[],[refute_0_404:[bind(X_13,$fot(X_45)),bind(X_62,$fot(X_102))]]) ).
cnf(refute_0_997,plain,
double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) = double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))))]]) ).
cnf(refute_0_998,plain,
( double_divide(X_102,inverse(X_45)) != multiply(X_45,inverse(X_102))
| double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))
| double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) = double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))),double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))) ),[1,0],$fot(multiply(X_45,inverse(X_102)))]]) ).
cnf(refute_0_999,plain,
( double_divide(X_102,inverse(X_45)) != multiply(X_45,inverse(X_102))
| double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) = double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))),double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) = double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))),
inference(resolve,[$cnf( $equal(double_divide(X_102,inverse(X_45)),multiply(X_45,inverse(X_102))) )],[refute_0_996,refute_0_999]) ).
cnf(refute_0_1001,plain,
( double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) != multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))
| double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) != double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45)))
| double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))))),bind(Y,$fot(double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))))),bind(Z,$fot(multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))))]]) ).
cnf(refute_0_1002,plain,
( double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))) != multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))
| double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))),double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45)))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_45,inverse(X_102)),multiply(X_102,double_divide(X_60,X_45))),multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))) )],[refute_0_995,refute_0_1002]) ).
cnf(refute_0_1004,plain,
( X_60 != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))
| double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))) != multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))
| X_60 = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_60,multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))) ),[0],$fot(double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))))]]) ).
cnf(refute_0_1005,plain,
( X_60 != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))
| X_60 = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45))),multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45)))) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
( inverse(inverse(X_60)) != double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))
| X_60 = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))) ),
inference(resolve,[$cnf( $equal(X_60,double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))) )],[refute_0_974,refute_0_1005]) ).
cnf(refute_0_1007,plain,
X_60 = multiply(X_102,double_divide(double_divide(X_60,X_45),multiply(X_102,X_45))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),double_divide(double_divide(X_102,inverse(X_45)),multiply(X_102,double_divide(X_60,X_45)))) )],[refute_0_972,refute_0_1006]) ).
cnf(refute_0_1008,plain,
X_60 = multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))),
inference(subst,[],[refute_0_1007:[bind(X_102,$fot(X_117))]]) ).
cnf(refute_0_1009,plain,
( X_60 != multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45)))
| multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))) = X_60 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_60)),bind(Y,$fot(multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45)))))]]) ).
cnf(refute_0_1010,plain,
multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))) = X_60,
inference(resolve,[$cnf( $equal(X_60,multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45)))) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( multiply(X_117,double_divide(multiply(X_117,X_45),multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))))) != double_divide(X_60,X_45)
| multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))) != X_60
| multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) = double_divide(X_60,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_117,double_divide(multiply(X_117,X_45),multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))))),double_divide(X_60,X_45)) ),[0,1,1],$fot(X_60)]]) ).
cnf(refute_0_1012,plain,
( multiply(X_117,double_divide(multiply(X_117,X_45),multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))))) != double_divide(X_60,X_45)
| multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) = double_divide(X_60,X_45) ),
inference(resolve,[$cnf( $equal(multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))),X_60) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) = double_divide(X_60,X_45),
inference(resolve,[$cnf( $equal(multiply(X_117,double_divide(multiply(X_117,X_45),multiply(X_117,double_divide(double_divide(X_60,X_45),multiply(X_117,X_45))))),double_divide(X_60,X_45)) )],[refute_0_968,refute_0_1012]) ).
cnf(refute_0_1014,plain,
double_divide(multiply(X_117,X_45),X_60) = double_divide(X_45,multiply(X_117,X_60)),
inference(subst,[],[refute_0_715:[bind(X_100,$fot(X_117)),bind(X_101,$fot(X_45)),bind(X_102,$fot(X_60))]]) ).
cnf(refute_0_1015,plain,
multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) = multiply(X_117,double_divide(multiply(X_117,X_45),X_60)),
introduced(tautology,[refl,[$fot(multiply(X_117,double_divide(multiply(X_117,X_45),X_60)))]]) ).
cnf(refute_0_1016,plain,
( multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) != multiply(X_117,double_divide(multiply(X_117,X_45),X_60))
| double_divide(multiply(X_117,X_45),X_60) != double_divide(X_45,multiply(X_117,X_60))
| multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) = multiply(X_117,double_divide(X_45,multiply(X_117,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_117,double_divide(multiply(X_117,X_45),X_60)),multiply(X_117,double_divide(multiply(X_117,X_45),X_60))) ),[1,1],$fot(double_divide(X_45,multiply(X_117,X_60)))]]) ).
cnf(refute_0_1017,plain,
( double_divide(multiply(X_117,X_45),X_60) != double_divide(X_45,multiply(X_117,X_60))
| multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) = multiply(X_117,double_divide(X_45,multiply(X_117,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(X_117,double_divide(multiply(X_117,X_45),X_60)),multiply(X_117,double_divide(multiply(X_117,X_45),X_60))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) = multiply(X_117,double_divide(X_45,multiply(X_117,X_60))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_117,X_45),X_60),double_divide(X_45,multiply(X_117,X_60))) )],[refute_0_1014,refute_0_1017]) ).
cnf(refute_0_1019,plain,
( multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) != multiply(X_117,double_divide(X_45,multiply(X_117,X_60)))
| multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) != double_divide(X_60,X_45)
| multiply(X_117,double_divide(X_45,multiply(X_117,X_60))) = double_divide(X_60,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_117,double_divide(multiply(X_117,X_45),X_60)),double_divide(X_60,X_45)) ),[0],$fot(multiply(X_117,double_divide(X_45,multiply(X_117,X_60))))]]) ).
cnf(refute_0_1020,plain,
( multiply(X_117,double_divide(multiply(X_117,X_45),X_60)) != double_divide(X_60,X_45)
| multiply(X_117,double_divide(X_45,multiply(X_117,X_60))) = double_divide(X_60,X_45) ),
inference(resolve,[$cnf( $equal(multiply(X_117,double_divide(multiply(X_117,X_45),X_60)),multiply(X_117,double_divide(X_45,multiply(X_117,X_60)))) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
multiply(X_117,double_divide(X_45,multiply(X_117,X_60))) = double_divide(X_60,X_45),
inference(resolve,[$cnf( $equal(multiply(X_117,double_divide(multiply(X_117,X_45),X_60)),double_divide(X_60,X_45)) )],[refute_0_1013,refute_0_1020]) ).
cnf(refute_0_1022,plain,
multiply(X_120,double_divide(X_121,multiply(X_120,X_122))) = double_divide(X_122,X_121),
inference(subst,[],[refute_0_1021:[bind(X_117,$fot(X_120)),bind(X_45,$fot(X_121)),bind(X_60,$fot(X_122))]]) ).
cnf(refute_0_1023,plain,
multiply(X_122,X_120) = multiply(X_120,X_122),
inference(subst,[],[refute_0_727:[bind(A,$fot(X_120)),bind(B,$fot(X_122))]]) ).
cnf(refute_0_1024,plain,
( multiply(X_122,X_120) != multiply(X_120,X_122)
| multiply(X_120,X_122) = multiply(X_122,X_120) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_122,X_120))),bind(Y,$fot(multiply(X_120,X_122)))]]) ).
cnf(refute_0_1025,plain,
multiply(X_120,X_122) = multiply(X_122,X_120),
inference(resolve,[$cnf( $equal(multiply(X_122,X_120),multiply(X_120,X_122)) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( multiply(X_120,X_122) != multiply(X_122,X_120)
| multiply(X_120,double_divide(X_121,multiply(X_120,X_122))) != double_divide(X_122,X_121)
| multiply(X_120,double_divide(X_121,multiply(X_122,X_120))) = double_divide(X_122,X_121) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_120,double_divide(X_121,multiply(X_120,X_122))),double_divide(X_122,X_121)) ),[0,1,1],$fot(multiply(X_122,X_120))]]) ).
cnf(refute_0_1027,plain,
( multiply(X_120,double_divide(X_121,multiply(X_120,X_122))) != double_divide(X_122,X_121)
| multiply(X_120,double_divide(X_121,multiply(X_122,X_120))) = double_divide(X_122,X_121) ),
inference(resolve,[$cnf( $equal(multiply(X_120,X_122),multiply(X_122,X_120)) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
multiply(X_120,double_divide(X_121,multiply(X_122,X_120))) = double_divide(X_122,X_121),
inference(resolve,[$cnf( $equal(multiply(X_120,double_divide(X_121,multiply(X_120,X_122))),double_divide(X_122,X_121)) )],[refute_0_1022,refute_0_1027]) ).
cnf(refute_0_1029,plain,
multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(X_122,X_121),
inference(subst,[],[refute_0_1028:[bind(X_120,$fot(inverse(X_126)))]]) ).
cnf(refute_0_1030,plain,
( multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126)))) != double_divide(X_122,X_121)
| inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) != double_divide(X_126,multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126)))))
| inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(X_126,double_divide(X_122,X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))),double_divide(X_126,multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126)))))) ),[1,1],$fot(double_divide(X_122,X_121))]]) ).
cnf(refute_0_1031,plain,
( inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) != double_divide(X_126,multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126)))))
| inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(X_126,double_divide(X_122,X_121)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126)))),double_divide(X_122,X_121)) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(X_126,double_divide(X_122,X_121)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))),double_divide(X_126,multiply(inverse(X_126),double_divide(X_121,multiply(X_122,inverse(X_126)))))) )],[refute_0_843,refute_0_1031]) ).
cnf(refute_0_1033,plain,
multiply(inverse(X_126),multiply(X_122,X_121)) = double_divide(double_divide(X_121,X_122),X_126),
inference(subst,[],[refute_0_628:[bind(A,$fot(X_122)),bind(B,$fot(X_121)),bind(X_61,$fot(X_126))]]) ).
cnf(refute_0_1034,plain,
multiply(multiply(X_122,inverse(X_126)),X_121) = multiply(inverse(X_126),multiply(X_122,X_121)),
inference(subst,[],[refute_0_798:[bind(X_101,$fot(X_121)),bind(X_114,$fot(X_122)),bind(X_115,$fot(inverse(X_126)))]]) ).
cnf(refute_0_1035,plain,
( multiply(multiply(X_122,inverse(X_126)),X_121) != multiply(inverse(X_126),multiply(X_122,X_121))
| multiply(inverse(X_126),multiply(X_122,X_121)) != double_divide(double_divide(X_121,X_122),X_126)
| multiply(multiply(X_122,inverse(X_126)),X_121) = double_divide(double_divide(X_121,X_122),X_126) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(multiply(X_122,inverse(X_126)),X_121))),bind(Y,$fot(multiply(inverse(X_126),multiply(X_122,X_121)))),bind(Z,$fot(double_divide(double_divide(X_121,X_122),X_126)))]]) ).
cnf(refute_0_1036,plain,
( multiply(inverse(X_126),multiply(X_122,X_121)) != double_divide(double_divide(X_121,X_122),X_126)
| multiply(multiply(X_122,inverse(X_126)),X_121) = double_divide(double_divide(X_121,X_122),X_126) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_122,inverse(X_126)),X_121),multiply(inverse(X_126),multiply(X_122,X_121))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
multiply(multiply(X_122,inverse(X_126)),X_121) = double_divide(double_divide(X_121,X_122),X_126),
inference(resolve,[$cnf( $equal(multiply(inverse(X_126),multiply(X_122,X_121)),double_divide(double_divide(X_121,X_122),X_126)) )],[refute_0_1033,refute_0_1036]) ).
cnf(refute_0_1038,plain,
inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = multiply(multiply(X_122,inverse(X_126)),X_121),
inference(subst,[],[refute_0_65:[bind(A,$fot(multiply(X_122,inverse(X_126)))),bind(B,$fot(X_121))]]) ).
cnf(refute_0_1039,plain,
( multiply(multiply(X_122,inverse(X_126)),X_121) != double_divide(double_divide(X_121,X_122),X_126)
| inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) != multiply(multiply(X_122,inverse(X_126)),X_121)
| inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(double_divide(X_121,X_122),X_126) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))))),bind(Y,$fot(multiply(multiply(X_122,inverse(X_126)),X_121))),bind(Z,$fot(double_divide(double_divide(X_121,X_122),X_126)))]]) ).
cnf(refute_0_1040,plain,
( multiply(multiply(X_122,inverse(X_126)),X_121) != double_divide(double_divide(X_121,X_122),X_126)
| inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(double_divide(X_121,X_122),X_126) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))),multiply(multiply(X_122,inverse(X_126)),X_121)) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) = double_divide(double_divide(X_121,X_122),X_126),
inference(resolve,[$cnf( $equal(multiply(multiply(X_122,inverse(X_126)),X_121),double_divide(double_divide(X_121,X_122),X_126)) )],[refute_0_1037,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) != double_divide(X_126,double_divide(X_122,X_121))
| inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) != double_divide(double_divide(X_121,X_122),X_126)
| double_divide(double_divide(X_121,X_122),X_126) = double_divide(X_126,double_divide(X_122,X_121)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))),double_divide(X_126,double_divide(X_122,X_121))) ),[0],$fot(double_divide(double_divide(X_121,X_122),X_126))]]) ).
cnf(refute_0_1043,plain,
( inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))) != double_divide(X_126,double_divide(X_122,X_121))
| double_divide(double_divide(X_121,X_122),X_126) = double_divide(X_126,double_divide(X_122,X_121)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))),double_divide(double_divide(X_121,X_122),X_126)) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
double_divide(double_divide(X_121,X_122),X_126) = double_divide(X_126,double_divide(X_122,X_121)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_121,multiply(X_122,inverse(X_126)))),double_divide(X_126,double_divide(X_122,X_121))) )],[refute_0_1032,refute_0_1043]) ).
cnf(refute_0_1045,plain,
double_divide(double_divide(X_128,X_129),inverse(X_13)) = double_divide(inverse(X_13),double_divide(X_129,X_128)),
inference(subst,[],[refute_0_1044:[bind(X_121,$fot(X_128)),bind(X_122,$fot(X_129)),bind(X_126,$fot(inverse(X_13)))]]) ).
cnf(refute_0_1046,plain,
( multiply(X_13,inverse(double_divide(X_128,X_129))) != double_divide(double_divide(X_128,X_129),inverse(X_13))
| double_divide(double_divide(X_128,X_129),inverse(X_13)) != double_divide(inverse(X_13),double_divide(X_129,X_128))
| multiply(X_13,inverse(double_divide(X_128,X_129))) = double_divide(inverse(X_13),double_divide(X_129,X_128)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,inverse(double_divide(X_128,X_129))),double_divide(inverse(X_13),double_divide(X_129,X_128))) ),[0],$fot(double_divide(double_divide(X_128,X_129),inverse(X_13)))]]) ).
cnf(refute_0_1047,plain,
( multiply(X_13,inverse(double_divide(X_128,X_129))) != double_divide(double_divide(X_128,X_129),inverse(X_13))
| multiply(X_13,inverse(double_divide(X_128,X_129))) = double_divide(inverse(X_13),double_divide(X_129,X_128)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_128,X_129),inverse(X_13)),double_divide(inverse(X_13),double_divide(X_129,X_128))) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
multiply(X_13,inverse(double_divide(X_128,X_129))) = double_divide(inverse(X_13),double_divide(X_129,X_128)),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_128,X_129))),double_divide(double_divide(X_128,X_129),inverse(X_13))) )],[refute_0_814,refute_0_1047]) ).
cnf(refute_0_1049,plain,
inverse(double_divide(X_128,X_129)) = multiply(X_129,X_128),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_129)),bind(B,$fot(X_128))]]) ).
cnf(refute_0_1050,plain,
multiply(X_13,inverse(double_divide(X_128,X_129))) = multiply(X_13,inverse(double_divide(X_128,X_129))),
introduced(tautology,[refl,[$fot(multiply(X_13,inverse(double_divide(X_128,X_129))))]]) ).
cnf(refute_0_1051,plain,
( multiply(X_13,inverse(double_divide(X_128,X_129))) != multiply(X_13,inverse(double_divide(X_128,X_129)))
| inverse(double_divide(X_128,X_129)) != multiply(X_129,X_128)
| multiply(X_13,inverse(double_divide(X_128,X_129))) = multiply(X_13,multiply(X_129,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_128,X_129))),multiply(X_13,inverse(double_divide(X_128,X_129)))) ),[1,1],$fot(multiply(X_129,X_128))]]) ).
cnf(refute_0_1052,plain,
( inverse(double_divide(X_128,X_129)) != multiply(X_129,X_128)
| multiply(X_13,inverse(double_divide(X_128,X_129))) = multiply(X_13,multiply(X_129,X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_128,X_129))),multiply(X_13,inverse(double_divide(X_128,X_129)))) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
multiply(X_13,inverse(double_divide(X_128,X_129))) = multiply(X_13,multiply(X_129,X_128)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_128,X_129)),multiply(X_129,X_128)) )],[refute_0_1049,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( multiply(X_13,inverse(double_divide(X_128,X_129))) != multiply(X_13,multiply(X_129,X_128))
| multiply(X_13,inverse(double_divide(X_128,X_129))) != double_divide(inverse(X_13),double_divide(X_129,X_128))
| multiply(X_13,multiply(X_129,X_128)) = double_divide(inverse(X_13),double_divide(X_129,X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_128,X_129))),double_divide(inverse(X_13),double_divide(X_129,X_128))) ),[0],$fot(multiply(X_13,multiply(X_129,X_128)))]]) ).
cnf(refute_0_1055,plain,
( multiply(X_13,inverse(double_divide(X_128,X_129))) != double_divide(inverse(X_13),double_divide(X_129,X_128))
| multiply(X_13,multiply(X_129,X_128)) = double_divide(inverse(X_13),double_divide(X_129,X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_128,X_129))),multiply(X_13,multiply(X_129,X_128))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
multiply(multiply(X_128,X_129),X_13) = multiply(X_129,multiply(X_128,X_13)),
inference(subst,[],[refute_0_798:[bind(X_101,$fot(X_13)),bind(X_114,$fot(X_128)),bind(X_115,$fot(X_129))]]) ).
cnf(refute_0_1057,plain,
inverse(double_divide(X_129,X_128)) = multiply(X_128,X_129),
inference(subst,[],[refute_0_65:[bind(A,$fot(X_128)),bind(B,$fot(X_129))]]) ).
cnf(refute_0_1058,plain,
multiply(inverse(double_divide(X_129,X_128)),X_13) = multiply(inverse(double_divide(X_129,X_128)),X_13),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_129,X_128)),X_13))]]) ).
cnf(refute_0_1059,plain,
( multiply(inverse(double_divide(X_129,X_128)),X_13) != multiply(inverse(double_divide(X_129,X_128)),X_13)
| inverse(double_divide(X_129,X_128)) != multiply(X_128,X_129)
| multiply(inverse(double_divide(X_129,X_128)),X_13) = multiply(multiply(X_128,X_129),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_129,X_128)),X_13),multiply(inverse(double_divide(X_129,X_128)),X_13)) ),[1,0],$fot(multiply(X_128,X_129))]]) ).
cnf(refute_0_1060,plain,
( inverse(double_divide(X_129,X_128)) != multiply(X_128,X_129)
| multiply(inverse(double_divide(X_129,X_128)),X_13) = multiply(multiply(X_128,X_129),X_13) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_129,X_128)),X_13),multiply(inverse(double_divide(X_129,X_128)),X_13)) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
multiply(inverse(double_divide(X_129,X_128)),X_13) = multiply(multiply(X_128,X_129),X_13),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_129,X_128)),multiply(X_128,X_129)) )],[refute_0_1057,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( multiply(multiply(X_128,X_129),X_13) != multiply(X_129,multiply(X_128,X_13))
| multiply(inverse(double_divide(X_129,X_128)),X_13) != multiply(multiply(X_128,X_129),X_13)
| multiply(inverse(double_divide(X_129,X_128)),X_13) = multiply(X_129,multiply(X_128,X_13)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(double_divide(X_129,X_128)),X_13))),bind(Y,$fot(multiply(multiply(X_128,X_129),X_13))),bind(Z,$fot(multiply(X_129,multiply(X_128,X_13))))]]) ).
cnf(refute_0_1063,plain,
( multiply(multiply(X_128,X_129),X_13) != multiply(X_129,multiply(X_128,X_13))
| multiply(inverse(double_divide(X_129,X_128)),X_13) = multiply(X_129,multiply(X_128,X_13)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_129,X_128)),X_13),multiply(multiply(X_128,X_129),X_13)) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
multiply(inverse(double_divide(X_129,X_128)),X_13) = multiply(X_129,multiply(X_128,X_13)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_128,X_129),X_13),multiply(X_129,multiply(X_128,X_13))) )],[refute_0_1056,refute_0_1063]) ).
cnf(refute_0_1065,plain,
double_divide(inverse(X_13),double_divide(X_129,X_128)) = multiply(inverse(double_divide(X_129,X_128)),X_13),
inference(subst,[],[refute_0_523:[bind(X_61,$fot(double_divide(X_129,X_128)))]]) ).
cnf(refute_0_1066,plain,
( multiply(inverse(double_divide(X_129,X_128)),X_13) != multiply(X_129,multiply(X_128,X_13))
| double_divide(inverse(X_13),double_divide(X_129,X_128)) != multiply(inverse(double_divide(X_129,X_128)),X_13)
| double_divide(inverse(X_13),double_divide(X_129,X_128)) = multiply(X_129,multiply(X_128,X_13)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_13),double_divide(X_129,X_128)))),bind(Y,$fot(multiply(inverse(double_divide(X_129,X_128)),X_13))),bind(Z,$fot(multiply(X_129,multiply(X_128,X_13))))]]) ).
cnf(refute_0_1067,plain,
( multiply(inverse(double_divide(X_129,X_128)),X_13) != multiply(X_129,multiply(X_128,X_13))
| double_divide(inverse(X_13),double_divide(X_129,X_128)) = multiply(X_129,multiply(X_128,X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),double_divide(X_129,X_128)),multiply(inverse(double_divide(X_129,X_128)),X_13)) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
double_divide(inverse(X_13),double_divide(X_129,X_128)) = multiply(X_129,multiply(X_128,X_13)),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_129,X_128)),X_13),multiply(X_129,multiply(X_128,X_13))) )],[refute_0_1064,refute_0_1067]) ).
cnf(refute_0_1069,plain,
( multiply(X_13,multiply(X_129,X_128)) != double_divide(inverse(X_13),double_divide(X_129,X_128))
| double_divide(inverse(X_13),double_divide(X_129,X_128)) != multiply(X_129,multiply(X_128,X_13))
| multiply(X_13,multiply(X_129,X_128)) = multiply(X_129,multiply(X_128,X_13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_13,multiply(X_129,X_128)),multiply(X_129,multiply(X_128,X_13))) ),[0],$fot(double_divide(inverse(X_13),double_divide(X_129,X_128)))]]) ).
cnf(refute_0_1070,plain,
( multiply(X_13,multiply(X_129,X_128)) != double_divide(inverse(X_13),double_divide(X_129,X_128))
| multiply(X_13,multiply(X_129,X_128)) = multiply(X_129,multiply(X_128,X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),double_divide(X_129,X_128)),multiply(X_129,multiply(X_128,X_13))) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( multiply(X_13,inverse(double_divide(X_128,X_129))) != double_divide(inverse(X_13),double_divide(X_129,X_128))
| multiply(X_13,multiply(X_129,X_128)) = multiply(X_129,multiply(X_128,X_13)) ),
inference(resolve,[$cnf( $equal(multiply(X_13,multiply(X_129,X_128)),double_divide(inverse(X_13),double_divide(X_129,X_128))) )],[refute_0_1055,refute_0_1070]) ).
cnf(refute_0_1072,plain,
multiply(X_13,multiply(X_129,X_128)) = multiply(X_129,multiply(X_128,X_13)),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(double_divide(X_128,X_129))),double_divide(inverse(X_13),double_divide(X_129,X_128))) )],[refute_0_1048,refute_0_1071]) ).
cnf(refute_0_1073,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(c3,b3)),
inference(subst,[],[refute_0_1072:[bind(X_128,$fot(c3)),bind(X_129,$fot(a3)),bind(X_13,$fot(b3))]]) ).
cnf(refute_0_1074,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(c3,b3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(b3,multiply(a3,c3)))),bind(Y,$fot(multiply(a3,multiply(c3,b3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_1075,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(c3,b3))) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(a3,multiply(c3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_813,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1078,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(b3,multiply(a3,c3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(a3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1078,refute_0_808]) ).
cnf(refute_0_1080,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1081,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1080,refute_0_1079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP571-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 12:27:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.38/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.62
% 0.38/0.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.61/0.78
%------------------------------------------------------------------------------