%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 102
% Syntax : Number of clauses : 402 ( 202 unt; 0 nHn; 204 RR)
% Number of literals : 693 ( 692 equ; 294 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 652 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ).
cnf(multiply,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity) ).
cnf(inverse,axiom,
inverse(A) = double_divide(A,identity) ).
cnf(identity,axiom,
identity = double_divide(A,inverse(A)) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(identity,a2) != a2 ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_6,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| double_divide(double_divide(B,A),identity) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),inverse(double_divide(B,A))) ),[0],$fot(double_divide(double_divide(B,A),identity))]]) ).
cnf(refute_0_7,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| multiply(A,B) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),identity),inverse(double_divide(B,A))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_10,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_11,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_12,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_14,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(identity,a2) = inverse(inverse(a2)),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(a2))]]) ).
cnf(refute_0_17,plain,
( multiply(identity,a2) != inverse(inverse(a2))
| inverse(inverse(a2)) != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(inverse(inverse(a2)))]]) ).
cnf(refute_0_18,plain,
( inverse(inverse(a2)) != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),inverse(inverse(a2))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
inverse(inverse(a2)) != a2,
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_18,prove_these_axioms_2]) ).
cnf(refute_0_20,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_21,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)))]]) ).
cnf(refute_0_22,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_23,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
double_divide(C,identity) = inverse(C),
inference(subst,[],[refute_0_4:[bind(A,$fot(C))]]) ).
cnf(refute_0_26,plain,
double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))]]) ).
cnf(refute_0_27,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_28,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))))]]) ).
cnf(refute_0_31,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))) ),[1,1],$fot(double_divide(double_divide(B,double_divide(C,A)),inverse(C)))]]) ).
cnf(refute_0_32,plain,
( double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),inverse(C))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_35,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))))]]) ).
cnf(refute_0_36,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_39,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_38]) ).
cnf(refute_0_40,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)))),bind(Z,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))))]]) ).
cnf(refute_0_41,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))) )],[refute_0_24,refute_0_41]) ).
cnf(refute_0_43,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),B) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)))]]) ).
cnf(refute_0_44,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),B) )],[single_axiom,refute_0_44]) ).
cnf(refute_0_46,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_45:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_47,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_48,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_47]) ).
cnf(refute_0_49,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_50,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)),X_11) )],[refute_0_46,refute_0_50]) ).
cnf(refute_0_52,plain,
inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(subst,[],[refute_0_48:[bind(A,$fot(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))))]]) ).
cnf(refute_0_54,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))))
| inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_55,plain,
( inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_45:[bind(A,$fot(identity)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_58,plain,
inverse(X_12) = double_divide(X_12,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_59,plain,
( inverse(X_12) != double_divide(X_12,identity)
| double_divide(X_12,identity) = inverse(X_12) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(double_divide(X_12,identity)))]]) ).
cnf(refute_0_60,plain,
double_divide(X_12,identity) = inverse(X_12),
inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(X_12,identity)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_14,inverse(X_14)),inverse(X_14))),inverse(identity)) = X_14,
inference(subst,[],[refute_0_63:[bind(X_11,$fot(X_14)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_65,plain,
identity = double_divide(X_14,inverse(X_14)),
inference(subst,[],[identity:[bind(A,$fot(X_14))]]) ).
cnf(refute_0_66,plain,
( identity != double_divide(X_14,inverse(X_14))
| double_divide(X_14,inverse(X_14)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_14,inverse(X_14))))]]) ).
cnf(refute_0_67,plain,
double_divide(X_14,inverse(X_14)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_14,inverse(X_14))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( double_divide(X_14,inverse(X_14)) != identity
| double_divide(double_divide(identity,double_divide(double_divide(X_14,inverse(X_14)),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_14,inverse(X_14)),inverse(X_14))),inverse(identity)),X_14) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_69,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_14,inverse(X_14)),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(X_14,inverse(X_14)),identity) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_14,inverse(X_14)),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_64,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_70:[bind(X_14,$fot(identity))]]) ).
cnf(refute_0_72,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(X_15))),
inference(subst,[],[refute_0_63:[bind(X_11,$fot(double_divide(identity,double_divide(identity,inverse(X_15))))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_73,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)) = X_15,
inference(subst,[],[refute_0_70:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_74,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(identity,double_divide(identity,inverse(X_15)))
| double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)) != X_15
| double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(identity,double_divide(identity,inverse(X_15)))) ),[0,0,1,0],$fot(X_15)]]) ).
cnf(refute_0_75,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(identity,double_divide(identity,inverse(X_15)))
| double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(X_15))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)),X_15) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(X_15))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(identity,inverse(X_15))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(identity,double_divide(identity,inverse(X_15)))) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(identity))),
inference(subst,[],[refute_0_76:[bind(X_15,$fot(identity))]]) ).
cnf(refute_0_78,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(identity,double_divide(identity,inverse(identity)))
| double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
| double_divide(identity,double_divide(identity,inverse(identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) ),[0],$fot(double_divide(identity,double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_79,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
| double_divide(identity,double_divide(identity,inverse(identity))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(identity,double_divide(identity,inverse(identity)))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
double_divide(identity,double_divide(identity,inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) )],[refute_0_71,refute_0_79]) ).
cnf(refute_0_81,plain,
( identity != double_divide(A,inverse(A))
| double_divide(A,inverse(A)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(A,inverse(A))))]]) ).
cnf(refute_0_82,plain,
double_divide(A,inverse(A)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(A,inverse(A))) )],[identity,refute_0_81]) ).
cnf(refute_0_83,plain,
double_divide(identity,inverse(identity)) = identity,
inference(subst,[],[refute_0_82:[bind(A,$fot(identity))]]) ).
cnf(refute_0_84,plain,
double_divide(identity,double_divide(identity,inverse(identity))) = double_divide(identity,double_divide(identity,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_85,plain,
( double_divide(identity,double_divide(identity,inverse(identity))) != double_divide(identity,double_divide(identity,inverse(identity)))
| double_divide(identity,inverse(identity)) != identity
| double_divide(identity,double_divide(identity,inverse(identity))) = double_divide(identity,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(identity))),double_divide(identity,double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_86,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(identity,double_divide(identity,inverse(identity))) = double_divide(identity,identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(identity))),double_divide(identity,double_divide(identity,inverse(identity)))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(identity,double_divide(identity,inverse(identity))) = double_divide(identity,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( double_divide(identity,double_divide(identity,inverse(identity))) != double_divide(identity,identity)
| double_divide(identity,identity) != inverse(identity)
| double_divide(identity,double_divide(identity,inverse(identity))) = inverse(identity) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(identity,double_divide(identity,inverse(identity))))),bind(Y,$fot(double_divide(identity,identity))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_89,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(identity,double_divide(identity,inverse(identity))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(identity))),double_divide(identity,identity)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(identity,double_divide(identity,inverse(identity))) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_89]) ).
cnf(refute_0_91,plain,
( double_divide(identity,double_divide(identity,inverse(identity))) != identity
| double_divide(identity,double_divide(identity,inverse(identity))) != inverse(identity)
| inverse(identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(identity))),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_92,plain,
( double_divide(identity,double_divide(identity,inverse(identity))) != identity
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(identity))),identity) )],[refute_0_80,refute_0_92]) ).
cnf(refute_0_94,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_95,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_96,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_99,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_56,refute_0_99]) ).
cnf(refute_0_101,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10))]]) ).
cnf(refute_0_102,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != X_11
| multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),X_11) )],[refute_0_51,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),multiply(multiply(A,B),double_divide(B,A))),X_57) = X_58,
inference(subst,[],[refute_0_103:[bind(A,$fot(multiply(A,B))),bind(B,$fot(double_divide(B,A))),bind(X_10,$fot(X_57)),bind(X_11,$fot(X_58))]]) ).
cnf(refute_0_105,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).
cnf(refute_0_106,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_107,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_108,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_110,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( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_105,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(inverse(double_divide(B,A)),double_divide(B,A)) = inverse(identity),
inference(subst,[],[refute_0_111:[bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_113,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_114,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( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_48,refute_0_113]) ).
cnf(refute_0_115,plain,
multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) )],[refute_0_112,refute_0_114]) ).
cnf(refute_0_116,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| inverse(identity) != identity
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),double_divide(B,A)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_117,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_93,refute_0_116]) ).
cnf(refute_0_118,plain,
multiply(multiply(A,B),double_divide(B,A)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),inverse(identity)) )],[refute_0_115,refute_0_117]) ).
cnf(refute_0_119,plain,
( multiply(multiply(A,B),double_divide(B,A)) != identity
| multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),multiply(multiply(A,B),double_divide(B,A))),X_57) != X_58
| multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) = X_58 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),multiply(multiply(A,B),double_divide(B,A))),X_57),X_58) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_120,plain,
( multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),multiply(multiply(A,B),double_divide(B,A))),X_57) != X_58
| multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) = X_58 ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),identity) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) = X_58,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),multiply(multiply(A,B),double_divide(B,A))),X_57),X_58) )],[refute_0_104,refute_0_120]) ).
cnf(refute_0_122,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_45:[bind(A,$fot(inverse(X_12))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_123,plain,
identity = double_divide(X_12,inverse(X_12)),
inference(subst,[],[identity:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_124,plain,
( identity != double_divide(X_12,inverse(X_12))
| double_divide(X_12,inverse(X_12)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_12,inverse(X_12))))]]) ).
cnf(refute_0_125,plain,
double_divide(X_12,inverse(X_12)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_12,inverse(X_12))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( double_divide(X_12,inverse(X_12)) != identity
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_127,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(X_12)),identity) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_122,refute_0_127]) ).
cnf(refute_0_129,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_130,plain,
double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(double_divide(X_11,identity),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(X_12)))]]) ).
cnf(refute_0_131,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(double_divide(X_11,identity),inverse(X_12))
| double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_132,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))))]]) ).
cnf(refute_0_135,plain,
( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(X_12)))]]) ).
cnf(refute_0_136,plain,
( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(inverse(X_11),inverse(X_12))) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_139,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))))]]) ).
cnf(refute_0_140,plain,
( double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_143,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_128,refute_0_143]) ).
cnf(refute_0_145,plain,
inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) = multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)),
inference(subst,[],[refute_0_48:[bind(A,$fot(double_divide(inverse(X_11),inverse(X_12)))),bind(B,$fot(inverse(X_12)))]]) ).
cnf(refute_0_146,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) = inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))))]]) ).
cnf(refute_0_147,plain,
( double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) != inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))))
| inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) != multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) = multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity))),bind(Y,$fot(inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))))),bind(Z,$fot(multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))))]]) ).
cnf(refute_0_148,plain,
( inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) != multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) = multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity),inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) = multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))),multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_151,plain,
( double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_152,plain,
( inverse(identity) != identity
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_93,refute_0_152]) ).
cnf(refute_0_154,plain,
( double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) != multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity)
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity))),bind(Z,$fot(multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))))]]) ).
cnf(refute_0_155,plain,
( double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity) != multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),identity),multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))) )],[refute_0_149,refute_0_155]) ).
cnf(refute_0_157,plain,
( double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) != multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))
| multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)))]]) ).
cnf(refute_0_158,plain,
( double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) != X_11
| multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(double_divide(inverse(X_11),inverse(X_12)),inverse(X_12)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_144,refute_0_158]) ).
cnf(refute_0_160,plain,
multiply(double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)),inverse(X_28)) = multiply(inverse(X_28),identity),
inference(subst,[],[refute_0_159:[bind(X_11,$fot(multiply(inverse(X_28),identity))),bind(X_12,$fot(X_28))]]) ).
cnf(refute_0_161,plain,
identity = double_divide(multiply(inverse(X_21),identity),inverse(multiply(inverse(X_21),identity))),
inference(subst,[],[identity:[bind(A,$fot(multiply(inverse(X_21),identity)))]]) ).
cnf(refute_0_162,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_8:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_163,plain,
double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)) = double_divide(identity,double_divide(identity,inverse(X_19))),
inference(subst,[],[refute_0_76:[bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_164,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))
| double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)) != double_divide(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(double_divide(identity,double_divide(identity,inverse(X_19)))) ),
introduced(tautology,[equality,[$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(double_divide(identity,double_divide(identity,inverse(X_19))))]]) ).
cnf(refute_0_165,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(double_divide(identity,double_divide(identity,inverse(X_19)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)),double_divide(identity,double_divide(identity,inverse(X_19)))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(double_divide(identity,double_divide(identity,inverse(X_19)))),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(double_divide(double_divide(identity,double_divide(X_19,inverse(identity))),inverse(identity)))) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X_19)))) = multiply(double_divide(identity,inverse(X_19)),identity),
inference(subst,[],[refute_0_48:[bind(A,$fot(double_divide(identity,inverse(X_19)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_168,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(double_divide(identity,double_divide(identity,inverse(X_19))))
| inverse(double_divide(identity,double_divide(identity,inverse(X_19)))) != multiply(double_divide(identity,inverse(X_19)),identity)
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(double_divide(identity,inverse(X_19)),identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(double_divide(identity,inverse(X_19)),identity)) ),[0],$fot(inverse(double_divide(identity,double_divide(identity,inverse(X_19)))))]]) ).
cnf(refute_0_169,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(double_divide(identity,double_divide(identity,inverse(X_19))))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(double_divide(identity,inverse(X_19)),identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,inverse(X_19)))),multiply(double_divide(identity,inverse(X_19)),identity)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(double_divide(identity,inverse(X_19)),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(double_divide(identity,double_divide(identity,inverse(X_19))))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
inverse(double_divide(identity,inverse(X_19))) = multiply(inverse(X_19),identity),
inference(subst,[],[refute_0_48:[bind(A,$fot(inverse(X_19))),bind(B,$fot(identity))]]) ).
cnf(refute_0_172,plain,
inverse(inverse(double_divide(identity,inverse(X_19)))) = inverse(inverse(double_divide(identity,inverse(X_19)))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,inverse(X_19)))))]]) ).
cnf(refute_0_173,plain,
( inverse(double_divide(identity,inverse(X_19))) != multiply(inverse(X_19),identity)
| inverse(inverse(double_divide(identity,inverse(X_19)))) != inverse(inverse(double_divide(identity,inverse(X_19))))
| inverse(inverse(double_divide(identity,inverse(X_19)))) = inverse(multiply(inverse(X_19),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(X_19)))),inverse(inverse(double_divide(identity,inverse(X_19))))) ),[1,0],$fot(multiply(inverse(X_19),identity))]]) ).
cnf(refute_0_174,plain,
( inverse(double_divide(identity,inverse(X_19))) != multiply(inverse(X_19),identity)
| inverse(inverse(double_divide(identity,inverse(X_19)))) = inverse(multiply(inverse(X_19),identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(X_19)))),inverse(inverse(double_divide(identity,inverse(X_19))))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(inverse(double_divide(identity,inverse(X_19)))) = inverse(multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(X_19))),multiply(inverse(X_19),identity)) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
multiply(identity,double_divide(identity,inverse(X_19))) = inverse(inverse(double_divide(identity,inverse(X_19)))),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(double_divide(identity,inverse(X_19))))]]) ).
cnf(refute_0_177,plain,
( multiply(identity,double_divide(identity,inverse(X_19))) != inverse(inverse(double_divide(identity,inverse(X_19))))
| inverse(inverse(double_divide(identity,inverse(X_19)))) != inverse(multiply(inverse(X_19),identity))
| multiply(identity,double_divide(identity,inverse(X_19))) = inverse(multiply(inverse(X_19),identity)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(multiply(identity,double_divide(identity,inverse(X_19))))),bind(Y,$fot(inverse(inverse(double_divide(identity,inverse(X_19)))))),bind(Z,$fot(inverse(multiply(inverse(X_19),identity))))]]) ).
cnf(refute_0_178,plain,
( inverse(inverse(double_divide(identity,inverse(X_19)))) != inverse(multiply(inverse(X_19),identity))
| multiply(identity,double_divide(identity,inverse(X_19))) = inverse(multiply(inverse(X_19),identity)) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(X_19))),inverse(inverse(double_divide(identity,inverse(X_19))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
multiply(identity,double_divide(identity,inverse(X_19))) = inverse(multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,inverse(X_19)))),inverse(multiply(inverse(X_19),identity))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
double_divide(X_19,identity) = inverse(X_19),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_19))]]) ).
cnf(refute_0_181,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_19,inverse(identity)))]]) ).
cnf(refute_0_182,plain,
( double_divide(X_19,inverse(identity)) != double_divide(X_19,inverse(identity))
| inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_183,plain,
( inverse(identity) != identity
| double_divide(X_19,inverse(identity)) = double_divide(X_19,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,inverse(identity))) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
double_divide(X_19,inverse(identity)) = double_divide(X_19,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_93,refute_0_183]) ).
cnf(refute_0_185,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) != double_divide(X_19,identity)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(X_19,inverse(identity)))),bind(Y,$fot(double_divide(X_19,identity))),bind(Z,$fot(inverse(X_19)))]]) ).
cnf(refute_0_186,plain,
( double_divide(X_19,identity) != inverse(X_19)
| double_divide(X_19,inverse(identity)) = inverse(X_19) ),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),double_divide(X_19,identity)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
double_divide(X_19,inverse(identity)) = inverse(X_19),
inference(resolve,[$cnf( $equal(double_divide(X_19,identity),inverse(X_19)) )],[refute_0_180,refute_0_186]) ).
cnf(refute_0_188,plain,
double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,double_divide(X_19,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(X_19,inverse(identity))))]]) ).
cnf(refute_0_189,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_190,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( $equal(double_divide(identity,double_divide(X_19,inverse(identity))),double_divide(identity,double_divide(X_19,inverse(identity)))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
double_divide(identity,double_divide(X_19,inverse(identity))) = double_divide(identity,inverse(X_19)),
inference(resolve,[$cnf( $equal(double_divide(X_19,inverse(identity)),inverse(X_19)) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),
introduced(tautology,[refl,[$fot(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_193,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_194,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( $equal(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_19,inverse(identity))),double_divide(identity,inverse(X_19))) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))))]]) ).
cnf(refute_0_197,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_198,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( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_93,refute_0_198]) ).
cnf(refute_0_200,plain,
( multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))) ),
inference(subst,[],[refute_0_39:[bind(X,$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_201,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( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity))))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = multiply(identity,double_divide(identity,inverse(X_19))),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_19)))) )],[refute_0_195,refute_0_201]) ).
cnf(refute_0_203,plain,
( multiply(identity,double_divide(identity,inverse(X_19))) != inverse(multiply(inverse(X_19),identity))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(identity,double_divide(identity,inverse(X_19)))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(multiply(inverse(X_19),identity)) ),
inference(subst,[],[refute_0_39:[bind(X,$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(inverse(multiply(inverse(X_19),identity))))]]) ).
cnf(refute_0_204,plain,
( multiply(identity,double_divide(identity,inverse(X_19))) != inverse(multiply(inverse(X_19),identity))
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(multiply(inverse(X_19),identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(identity,double_divide(identity,inverse(X_19)))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) = inverse(multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(identity,inverse(X_19))),inverse(multiply(inverse(X_19),identity))) )],[refute_0_179,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(double_divide(identity,inverse(X_19)),identity)
| multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != inverse(multiply(inverse(X_19),identity))
| inverse(multiply(inverse(X_19),identity)) = multiply(double_divide(identity,inverse(X_19)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(double_divide(identity,inverse(X_19)),identity)) ),[0],$fot(inverse(multiply(inverse(X_19),identity)))]]) ).
cnf(refute_0_207,plain,
( multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))) != multiply(double_divide(identity,inverse(X_19)),identity)
| inverse(multiply(inverse(X_19),identity)) = multiply(double_divide(identity,inverse(X_19)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),inverse(multiply(inverse(X_19),identity))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
inverse(multiply(inverse(X_19),identity)) = multiply(double_divide(identity,inverse(X_19)),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(identity,double_divide(X_19,inverse(identity)))),multiply(double_divide(identity,inverse(X_19)),identity)) )],[refute_0_170,refute_0_207]) ).
cnf(refute_0_209,plain,
( inverse(multiply(inverse(X_19),identity)) != multiply(double_divide(identity,inverse(X_19)),identity)
| multiply(double_divide(identity,inverse(X_19)),identity) = inverse(multiply(inverse(X_19),identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(inverse(X_19),identity)))),bind(Y,$fot(multiply(double_divide(identity,inverse(X_19)),identity)))]]) ).
cnf(refute_0_210,plain,
multiply(double_divide(identity,inverse(X_19)),identity) = inverse(multiply(inverse(X_19),identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_19),identity)),multiply(double_divide(identity,inverse(X_19)),identity)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = inverse(multiply(inverse(X_14),identity)),
inference(subst,[],[refute_0_210:[bind(X_19,$fot(X_14))]]) ).
cnf(refute_0_212,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(subst,[],[refute_0_48:[bind(A,$fot(double_divide(identity,inverse(X_14)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_213,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != inverse(multiply(inverse(X_14),identity))
| inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != multiply(double_divide(identity,inverse(X_14)),identity)
| inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) = inverse(multiply(inverse(X_14),identity)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))))),bind(Y,$fot(multiply(double_divide(identity,inverse(X_14)),identity))),bind(Z,$fot(inverse(multiply(inverse(X_14),identity))))]]) ).
cnf(refute_0_214,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != inverse(multiply(inverse(X_14),identity))
| inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) = inverse(multiply(inverse(X_14),identity)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) = inverse(multiply(inverse(X_14),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),inverse(multiply(inverse(X_14),identity))) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_217,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != inverse(double_divide(identity,double_divide(identity,inverse(X_14))))
| inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != inverse(multiply(inverse(X_14),identity))
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = inverse(multiply(inverse(X_14),identity)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Y,$fot(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))))),bind(Z,$fot(inverse(multiply(inverse(X_14),identity))))]]) ).
cnf(refute_0_218,plain,
( inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != inverse(multiply(inverse(X_14),identity))
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = inverse(multiply(inverse(X_14),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),inverse(double_divide(identity,double_divide(identity,inverse(X_14))))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = inverse(multiply(inverse(X_14),identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),inverse(multiply(inverse(X_14),identity))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_221,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_222,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_93,refute_0_222]) ).
cnf(refute_0_224,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != inverse(multiply(inverse(X_14),identity))
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = inverse(multiply(inverse(X_14),identity)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Z,$fot(inverse(multiply(inverse(X_14),identity))))]]) ).
cnf(refute_0_225,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != inverse(multiply(inverse(X_14),identity))
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = inverse(multiply(inverse(X_14),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = inverse(multiply(inverse(X_14),identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),inverse(multiply(inverse(X_14),identity))) )],[refute_0_219,refute_0_225]) ).
cnf(refute_0_227,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != inverse(multiply(inverse(X_14),identity))
| inverse(multiply(inverse(X_14),identity)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),X_14) ),[0],$fot(inverse(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_228,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != X_14
| inverse(multiply(inverse(X_14),identity)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),inverse(multiply(inverse(X_14),identity))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
inverse(multiply(inverse(X_14),identity)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),X_14) )],[refute_0_70,refute_0_228]) ).
cnf(refute_0_230,plain,
inverse(multiply(inverse(X_21),identity)) = X_21,
inference(subst,[],[refute_0_229:[bind(X_14,$fot(X_21))]]) ).
cnf(refute_0_231,plain,
( identity != double_divide(multiply(inverse(X_21),identity),inverse(multiply(inverse(X_21),identity)))
| inverse(multiply(inverse(X_21),identity)) != X_21
| identity = double_divide(multiply(inverse(X_21),identity),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(multiply(inverse(X_21),identity),inverse(multiply(inverse(X_21),identity)))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_232,plain,
( identity != double_divide(multiply(inverse(X_21),identity),inverse(multiply(inverse(X_21),identity)))
| identity = double_divide(multiply(inverse(X_21),identity),X_21) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_21),identity)),X_21) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
identity = double_divide(multiply(inverse(X_21),identity),X_21),
inference(resolve,[$cnf( $equal(identity,double_divide(multiply(inverse(X_21),identity),inverse(multiply(inverse(X_21),identity)))) )],[refute_0_161,refute_0_232]) ).
cnf(refute_0_234,plain,
inverse(multiply(inverse(multiply(inverse(X_21),identity)),identity)) = multiply(inverse(X_21),identity),
inference(subst,[],[refute_0_229:[bind(X_14,$fot(multiply(inverse(X_21),identity)))]]) ).
cnf(refute_0_235,plain,
( inverse(multiply(inverse(X_21),identity)) != X_21
| inverse(multiply(inverse(multiply(inverse(X_21),identity)),identity)) != multiply(inverse(X_21),identity)
| inverse(multiply(X_21,identity)) = multiply(inverse(X_21),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_21),identity)),identity)),multiply(inverse(X_21),identity)) ),[0,0,0],$fot(X_21)]]) ).
cnf(refute_0_236,plain,
( inverse(multiply(inverse(multiply(inverse(X_21),identity)),identity)) != multiply(inverse(X_21),identity)
| inverse(multiply(X_21,identity)) = multiply(inverse(X_21),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_21),identity)),X_21) )],[refute_0_230,refute_0_235]) ).
cnf(refute_0_237,plain,
inverse(multiply(X_21,identity)) = multiply(inverse(X_21),identity),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_21),identity)),identity)),multiply(inverse(X_21),identity)) )],[refute_0_234,refute_0_236]) ).
cnf(refute_0_238,plain,
( inverse(multiply(X_21,identity)) != multiply(inverse(X_21),identity)
| multiply(inverse(X_21),identity) = inverse(multiply(X_21,identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_21,identity)))),bind(Y,$fot(multiply(inverse(X_21),identity)))]]) ).
cnf(refute_0_239,plain,
multiply(inverse(X_21),identity) = inverse(multiply(X_21,identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_21,identity)),multiply(inverse(X_21),identity)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
double_divide(multiply(inverse(X_21),identity),X_21) = double_divide(multiply(inverse(X_21),identity),X_21),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_21),identity),X_21))]]) ).
cnf(refute_0_241,plain,
( multiply(inverse(X_21),identity) != inverse(multiply(X_21,identity))
| double_divide(multiply(inverse(X_21),identity),X_21) != double_divide(multiply(inverse(X_21),identity),X_21)
| double_divide(multiply(inverse(X_21),identity),X_21) = double_divide(inverse(multiply(X_21,identity)),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_21),identity),X_21),double_divide(multiply(inverse(X_21),identity),X_21)) ),[1,0],$fot(inverse(multiply(X_21,identity)))]]) ).
cnf(refute_0_242,plain,
( multiply(inverse(X_21),identity) != inverse(multiply(X_21,identity))
| double_divide(multiply(inverse(X_21),identity),X_21) = double_divide(inverse(multiply(X_21,identity)),X_21) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_21),identity),X_21),double_divide(multiply(inverse(X_21),identity),X_21)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
double_divide(multiply(inverse(X_21),identity),X_21) = double_divide(inverse(multiply(X_21,identity)),X_21),
inference(resolve,[$cnf( $equal(multiply(inverse(X_21),identity),inverse(multiply(X_21,identity))) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
( double_divide(multiply(inverse(X_21),identity),X_21) != double_divide(inverse(multiply(X_21,identity)),X_21)
| identity != double_divide(multiply(inverse(X_21),identity),X_21)
| identity = double_divide(inverse(multiply(X_21,identity)),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(multiply(inverse(X_21),identity),X_21)) ),[1],$fot(double_divide(inverse(multiply(X_21,identity)),X_21))]]) ).
cnf(refute_0_245,plain,
( identity != double_divide(multiply(inverse(X_21),identity),X_21)
| identity = double_divide(inverse(multiply(X_21,identity)),X_21) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_21),identity),X_21),double_divide(inverse(multiply(X_21,identity)),X_21)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
identity = double_divide(inverse(multiply(X_21,identity)),X_21),
inference(resolve,[$cnf( $equal(identity,double_divide(multiply(inverse(X_21),identity),X_21)) )],[refute_0_233,refute_0_245]) ).
cnf(refute_0_247,plain,
identity = double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)),
inference(subst,[],[refute_0_246:[bind(X_21,$fot(inverse(X_28)))]]) ).
cnf(refute_0_248,plain,
( identity != double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28))
| double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28))))]]) ).
cnf(refute_0_249,plain,
double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( multiply(double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)),inverse(X_28)) != multiply(inverse(X_28),identity)
| double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)) != identity
| multiply(identity,inverse(X_28)) = multiply(inverse(X_28),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)),inverse(X_28)),multiply(inverse(X_28),identity)) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_251,plain,
( multiply(double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)),inverse(X_28)) != multiply(inverse(X_28),identity)
| multiply(identity,inverse(X_28)) = multiply(inverse(X_28),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)),identity) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(identity,inverse(X_28)) = multiply(inverse(X_28),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(multiply(inverse(X_28),identity)),inverse(X_28)),inverse(X_28)),multiply(inverse(X_28),identity)) )],[refute_0_160,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(identity,inverse(X_28)) = inverse(inverse(inverse(X_28))),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(inverse(X_28)))]]) ).
cnf(refute_0_254,plain,
( multiply(identity,inverse(X_28)) != multiply(inverse(X_28),identity)
| multiply(identity,inverse(X_28)) != inverse(inverse(inverse(X_28)))
| inverse(inverse(inverse(X_28))) = multiply(inverse(X_28),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,inverse(X_28)),multiply(inverse(X_28),identity)) ),[0],$fot(inverse(inverse(inverse(X_28))))]]) ).
cnf(refute_0_255,plain,
( multiply(identity,inverse(X_28)) != multiply(inverse(X_28),identity)
| inverse(inverse(inverse(X_28))) = multiply(inverse(X_28),identity) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_28)),inverse(inverse(inverse(X_28)))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(inverse(X_28),identity) = inverse(multiply(X_28,identity)),
inference(subst,[],[refute_0_239:[bind(X_21,$fot(X_28))]]) ).
cnf(refute_0_257,plain,
( multiply(inverse(X_28),identity) != inverse(multiply(X_28,identity))
| inverse(inverse(inverse(X_28))) != multiply(inverse(X_28),identity)
| inverse(inverse(inverse(X_28))) = inverse(multiply(X_28,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(X_28))),multiply(inverse(X_28),identity)) ),[1],$fot(inverse(multiply(X_28,identity)))]]) ).
cnf(refute_0_258,plain,
( inverse(inverse(inverse(X_28))) != multiply(inverse(X_28),identity)
| inverse(inverse(inverse(X_28))) = inverse(multiply(X_28,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_28),identity),inverse(multiply(X_28,identity))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
( multiply(identity,inverse(X_28)) != multiply(inverse(X_28),identity)
| inverse(inverse(inverse(X_28))) = inverse(multiply(X_28,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_28))),multiply(inverse(X_28),identity)) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
inverse(inverse(inverse(X_28))) = inverse(multiply(X_28,identity)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_28)),multiply(inverse(X_28),identity)) )],[refute_0_252,refute_0_259]) ).
cnf(refute_0_261,plain,
inverse(inverse(inverse(multiply(X_32,identity)))) = inverse(multiply(multiply(X_32,identity),identity)),
inference(subst,[],[refute_0_260:[bind(X_28,$fot(multiply(X_32,identity)))]]) ).
cnf(refute_0_262,plain,
inverse(inverse(inverse(X_32))) = inverse(multiply(X_32,identity)),
inference(subst,[],[refute_0_260:[bind(X_28,$fot(X_32))]]) ).
cnf(refute_0_263,plain,
( inverse(inverse(inverse(X_32))) != inverse(multiply(X_32,identity))
| inverse(multiply(X_32,identity)) = inverse(inverse(inverse(X_32))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(inverse(X_32))))),bind(Y,$fot(inverse(multiply(X_32,identity))))]]) ).
cnf(refute_0_264,plain,
inverse(multiply(X_32,identity)) = inverse(inverse(inverse(X_32))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_32))),inverse(multiply(X_32,identity))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
( inverse(multiply(X_32,identity)) != inverse(inverse(inverse(X_32)))
| inverse(inverse(inverse(multiply(X_32,identity)))) != inverse(multiply(multiply(X_32,identity),identity))
| inverse(inverse(inverse(inverse(inverse(X_32))))) = inverse(multiply(multiply(X_32,identity),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(X_32,identity)))),inverse(multiply(multiply(X_32,identity),identity))) ),[0,0,0],$fot(inverse(inverse(inverse(X_32))))]]) ).
cnf(refute_0_266,plain,
( inverse(inverse(inverse(multiply(X_32,identity)))) != inverse(multiply(multiply(X_32,identity),identity))
| inverse(inverse(inverse(inverse(inverse(X_32))))) = inverse(multiply(multiply(X_32,identity),identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_32,identity)),inverse(inverse(inverse(X_32)))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
inverse(inverse(inverse(inverse(inverse(X_32))))) = inverse(multiply(multiply(X_32,identity),identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_32,identity)))),inverse(multiply(multiply(X_32,identity),identity))) )],[refute_0_261,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(double_divide(inverse(X_27),inverse(inverse(X_27))),inverse(inverse(X_27))) = X_27,
inference(subst,[],[refute_0_159:[bind(X_11,$fot(X_27)),bind(X_12,$fot(inverse(X_27)))]]) ).
cnf(refute_0_269,plain,
identity = double_divide(inverse(X_27),inverse(inverse(X_27))),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_27)))]]) ).
cnf(refute_0_270,plain,
( identity != double_divide(inverse(X_27),inverse(inverse(X_27)))
| double_divide(inverse(X_27),inverse(inverse(X_27))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(X_27),inverse(inverse(X_27)))))]]) ).
cnf(refute_0_271,plain,
double_divide(inverse(X_27),inverse(inverse(X_27))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_27),inverse(inverse(X_27)))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
( multiply(double_divide(inverse(X_27),inverse(inverse(X_27))),inverse(inverse(X_27))) != X_27
| double_divide(inverse(X_27),inverse(inverse(X_27))) != identity
| multiply(identity,inverse(inverse(X_27))) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_27),inverse(inverse(X_27))),inverse(inverse(X_27))),X_27) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_273,plain,
( multiply(double_divide(inverse(X_27),inverse(inverse(X_27))),inverse(inverse(X_27))) != X_27
| multiply(identity,inverse(inverse(X_27))) = X_27 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_27),inverse(inverse(X_27))),identity) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(identity,inverse(inverse(X_27))) = X_27,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_27),inverse(inverse(X_27))),inverse(inverse(X_27))),X_27) )],[refute_0_268,refute_0_273]) ).
cnf(refute_0_275,plain,
multiply(identity,inverse(inverse(X_27))) = inverse(inverse(inverse(inverse(X_27)))),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(inverse(inverse(X_27))))]]) ).
cnf(refute_0_276,plain,
( multiply(identity,inverse(inverse(X_27))) != X_27
| multiply(identity,inverse(inverse(X_27))) != inverse(inverse(inverse(inverse(X_27))))
| inverse(inverse(inverse(inverse(X_27)))) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,inverse(inverse(X_27))),X_27) ),[0],$fot(inverse(inverse(inverse(inverse(X_27)))))]]) ).
cnf(refute_0_277,plain,
( multiply(identity,inverse(inverse(X_27))) != X_27
| inverse(inverse(inverse(inverse(X_27)))) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_27))),inverse(inverse(inverse(inverse(X_27))))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
inverse(inverse(inverse(inverse(X_27)))) = X_27,
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_27))),X_27) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
inverse(inverse(inverse(inverse(inverse(X_32))))) = inverse(X_32),
inference(subst,[],[refute_0_278:[bind(X_27,$fot(inverse(X_32)))]]) ).
cnf(refute_0_280,plain,
( inverse(inverse(inverse(inverse(inverse(X_32))))) != inverse(X_32)
| inverse(inverse(inverse(inverse(inverse(X_32))))) != inverse(multiply(multiply(X_32,identity),identity))
| inverse(X_32) = inverse(multiply(multiply(X_32,identity),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_32))))),inverse(multiply(multiply(X_32,identity),identity))) ),[0],$fot(inverse(X_32))]]) ).
cnf(refute_0_281,plain,
( inverse(inverse(inverse(inverse(inverse(X_32))))) != inverse(multiply(multiply(X_32,identity),identity))
| inverse(X_32) = inverse(multiply(multiply(X_32,identity),identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_32))))),inverse(X_32)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(double_divide(inverse(double_divide(B,A)),inverse(X_28)),inverse(X_28)) = double_divide(B,A),
inference(subst,[],[refute_0_159:[bind(X_11,$fot(double_divide(B,A))),bind(X_12,$fot(X_28))]]) ).
cnf(refute_0_283,plain,
( multiply(double_divide(inverse(double_divide(B,A)),inverse(X_28)),inverse(X_28)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(double_divide(B,A)),inverse(X_28)),inverse(X_28)),double_divide(B,A)) ),[0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_284,plain,
( multiply(double_divide(inverse(double_divide(B,A)),inverse(X_28)),inverse(X_28)) != double_divide(B,A)
| multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_48,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(double_divide(B,A)),inverse(X_28)),inverse(X_28)),double_divide(B,A)) )],[refute_0_282,refute_0_284]) ).
cnf(refute_0_286,plain,
( inverse(inverse(inverse(X_28))) != inverse(multiply(X_28,identity))
| inverse(multiply(X_28,identity)) = inverse(inverse(inverse(X_28))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(inverse(X_28))))),bind(Y,$fot(inverse(multiply(X_28,identity))))]]) ).
cnf(refute_0_287,plain,
inverse(multiply(X_28,identity)) = inverse(inverse(inverse(X_28))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_28))),inverse(multiply(X_28,identity))) )],[refute_0_260,refute_0_286]) ).
cnf(refute_0_288,plain,
inverse(multiply(multiply(A,B),identity)) = inverse(inverse(inverse(multiply(A,B)))),
inference(subst,[],[refute_0_287:[bind(X_28,$fot(multiply(A,B)))]]) ).
cnf(refute_0_289,plain,
multiply(double_divide(inverse(inverse(multiply(X_14,identity))),inverse(X_28)),inverse(X_28)) = inverse(multiply(X_14,identity)),
inference(subst,[],[refute_0_159:[bind(X_11,$fot(inverse(multiply(X_14,identity)))),bind(X_12,$fot(X_28))]]) ).
cnf(refute_0_290,plain,
multiply(inverse(X_14),identity) = inverse(multiply(X_14,identity)),
inference(subst,[],[refute_0_239:[bind(X_21,$fot(X_14))]]) ).
cnf(refute_0_291,plain,
inverse(multiply(inverse(X_14),identity)) = inverse(multiply(inverse(X_14),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_14),identity)))]]) ).
cnf(refute_0_292,plain,
( multiply(inverse(X_14),identity) != inverse(multiply(X_14,identity))
| inverse(multiply(inverse(X_14),identity)) != inverse(multiply(inverse(X_14),identity))
| inverse(multiply(inverse(X_14),identity)) = inverse(inverse(multiply(X_14,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_14),identity)),inverse(multiply(inverse(X_14),identity))) ),[1,0],$fot(inverse(multiply(X_14,identity)))]]) ).
cnf(refute_0_293,plain,
( multiply(inverse(X_14),identity) != inverse(multiply(X_14,identity))
| inverse(multiply(inverse(X_14),identity)) = inverse(inverse(multiply(X_14,identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_14),identity)),inverse(multiply(inverse(X_14),identity))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
inverse(multiply(inverse(X_14),identity)) = inverse(inverse(multiply(X_14,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_14),identity),inverse(multiply(X_14,identity))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( inverse(multiply(inverse(X_14),identity)) != X_14
| inverse(multiply(inverse(X_14),identity)) != inverse(inverse(multiply(X_14,identity)))
| inverse(inverse(multiply(X_14,identity))) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_14),identity)),X_14) ),[0],$fot(inverse(inverse(multiply(X_14,identity))))]]) ).
cnf(refute_0_296,plain,
( inverse(multiply(inverse(X_14),identity)) != X_14
| inverse(inverse(multiply(X_14,identity))) = X_14 ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_14),identity)),inverse(inverse(multiply(X_14,identity)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
inverse(inverse(multiply(X_14,identity))) = X_14,
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_14),identity)),X_14) )],[refute_0_229,refute_0_296]) ).
cnf(refute_0_298,plain,
( multiply(double_divide(inverse(inverse(multiply(X_14,identity))),inverse(X_28)),inverse(X_28)) != inverse(multiply(X_14,identity))
| inverse(inverse(multiply(X_14,identity))) != X_14
| multiply(double_divide(X_14,inverse(X_28)),inverse(X_28)) = inverse(multiply(X_14,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_14,identity))),inverse(X_28)),inverse(X_28)),inverse(multiply(X_14,identity))) ),[0,0,0],$fot(X_14)]]) ).
cnf(refute_0_299,plain,
( multiply(double_divide(inverse(inverse(multiply(X_14,identity))),inverse(X_28)),inverse(X_28)) != inverse(multiply(X_14,identity))
| multiply(double_divide(X_14,inverse(X_28)),inverse(X_28)) = inverse(multiply(X_14,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_14,identity))),X_14) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(double_divide(X_14,inverse(X_28)),inverse(X_28)) = inverse(multiply(X_14,identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_14,identity))),inverse(X_28)),inverse(X_28)),inverse(multiply(X_14,identity))) )],[refute_0_289,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) = inverse(multiply(multiply(A,B),identity)),
inference(subst,[],[refute_0_300:[bind(X_14,$fot(multiply(A,B)))]]) ).
cnf(refute_0_302,plain,
( multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) != inverse(multiply(multiply(A,B),identity))
| inverse(multiply(multiply(A,B),identity)) != inverse(inverse(inverse(multiply(A,B))))
| multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) = inverse(inverse(inverse(multiply(A,B)))) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)))),bind(Y,$fot(inverse(multiply(multiply(A,B),identity)))),bind(Z,$fot(inverse(inverse(inverse(multiply(A,B))))))]]) ).
cnf(refute_0_303,plain,
( inverse(multiply(multiply(A,B),identity)) != inverse(inverse(inverse(multiply(A,B))))
| multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) = inverse(inverse(inverse(multiply(A,B)))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)),inverse(multiply(multiply(A,B),identity))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) = inverse(inverse(inverse(multiply(A,B)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(A,B),identity)),inverse(inverse(inverse(multiply(A,B))))) )],[refute_0_288,refute_0_303]) ).
cnf(refute_0_305,plain,
( multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) != double_divide(B,A)
| multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) != inverse(inverse(inverse(multiply(A,B))))
| inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)),double_divide(B,A)) ),[0],$fot(inverse(inverse(inverse(multiply(A,B)))))]]) ).
cnf(refute_0_306,plain,
( multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)) != double_divide(B,A)
| inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)),inverse(inverse(inverse(multiply(A,B))))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(A,B),inverse(X_28)),inverse(X_28)),double_divide(B,A)) )],[refute_0_285,refute_0_306]) ).
cnf(refute_0_308,plain,
inverse(inverse(inverse(multiply(X_32,identity)))) = double_divide(identity,X_32),
inference(subst,[],[refute_0_307:[bind(A,$fot(X_32)),bind(B,$fot(identity))]]) ).
cnf(refute_0_309,plain,
inverse(multiply(multiply(X_32,identity),identity)) = inverse(inverse(inverse(multiply(X_32,identity)))),
inference(subst,[],[refute_0_287:[bind(X_28,$fot(multiply(X_32,identity)))]]) ).
cnf(refute_0_310,plain,
( inverse(multiply(multiply(X_32,identity),identity)) != inverse(inverse(inverse(multiply(X_32,identity))))
| inverse(inverse(inverse(multiply(X_32,identity)))) != double_divide(identity,X_32)
| inverse(multiply(multiply(X_32,identity),identity)) = double_divide(identity,X_32) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(inverse(multiply(multiply(X_32,identity),identity)))),bind(Y,$fot(inverse(inverse(inverse(multiply(X_32,identity)))))),bind(Z,$fot(double_divide(identity,X_32)))]]) ).
cnf(refute_0_311,plain,
( inverse(inverse(inverse(multiply(X_32,identity)))) != double_divide(identity,X_32)
| inverse(multiply(multiply(X_32,identity),identity)) = double_divide(identity,X_32) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_32,identity),identity)),inverse(inverse(inverse(multiply(X_32,identity))))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
inverse(multiply(multiply(X_32,identity),identity)) = double_divide(identity,X_32),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_32,identity)))),double_divide(identity,X_32)) )],[refute_0_308,refute_0_311]) ).
cnf(refute_0_313,plain,
( inverse(X_32) != inverse(multiply(multiply(X_32,identity),identity))
| inverse(multiply(multiply(X_32,identity),identity)) != double_divide(identity,X_32)
| inverse(X_32) = double_divide(identity,X_32) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(X_32),double_divide(identity,X_32)) ),[0],$fot(inverse(multiply(multiply(X_32,identity),identity)))]]) ).
cnf(refute_0_314,plain,
( inverse(X_32) != inverse(multiply(multiply(X_32,identity),identity))
| inverse(X_32) = double_divide(identity,X_32) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_32,identity),identity)),double_divide(identity,X_32)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( inverse(inverse(inverse(inverse(inverse(X_32))))) != inverse(multiply(multiply(X_32,identity),identity))
| inverse(X_32) = double_divide(identity,X_32) ),
inference(resolve,[$cnf( $equal(inverse(X_32),inverse(multiply(multiply(X_32,identity),identity))) )],[refute_0_281,refute_0_314]) ).
cnf(refute_0_316,plain,
inverse(X_32) = double_divide(identity,X_32),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_32))))),inverse(multiply(multiply(X_32,identity),identity))) )],[refute_0_267,refute_0_315]) ).
cnf(refute_0_317,plain,
( inverse(X_32) != double_divide(identity,X_32)
| double_divide(identity,X_32) = inverse(X_32) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_32))),bind(Y,$fot(double_divide(identity,X_32)))]]) ).
cnf(refute_0_318,plain,
double_divide(identity,X_32) = inverse(X_32),
inference(resolve,[$cnf( $equal(inverse(X_32),double_divide(identity,X_32)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
double_divide(identity,X_57) = inverse(X_57),
inference(subst,[],[refute_0_318:[bind(X_32,$fot(X_57))]]) ).
cnf(refute_0_320,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_321,plain,
multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_322,plain,
( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
| inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_323,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$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_325,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( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_320,refute_0_325]) ).
cnf(refute_0_327,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_328,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
double_divide(double_divide(B,A),multiply(A,B)) = identity,
inference(subst,[],[refute_0_328:[bind(X_2,$fot(A)),bind(X_3,$fot(B))]]) ).
cnf(refute_0_330,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) = double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))]]) ).
cnf(refute_0_331,plain,
( double_divide(double_divide(B,A),multiply(A,B)) != identity
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) != double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) = double_divide(identity,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_332,plain,
( double_divide(double_divide(B,A),multiply(A,B)) != identity
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) = double_divide(identity,X_57) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) = double_divide(identity,X_57),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),multiply(A,B)),identity) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
( double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) != double_divide(identity,X_57)
| double_divide(identity,X_57) != inverse(X_57)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) = inverse(X_57) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))),bind(Y,$fot(double_divide(identity,X_57))),bind(Z,$fot(inverse(X_57)))]]) ).
cnf(refute_0_335,plain,
( double_divide(identity,X_57) != inverse(X_57)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) = inverse(X_57) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),double_divide(identity,X_57)) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) = inverse(X_57),
inference(resolve,[$cnf( $equal(double_divide(identity,X_57),inverse(X_57)) )],[refute_0_319,refute_0_335]) ).
cnf(refute_0_337,plain,
multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58))]]) ).
cnf(refute_0_338,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) != inverse(X_57)
| multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) = multiply(inverse(X_57),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)) ),[1,0],$fot(inverse(X_57))]]) ).
cnf(refute_0_339,plain,
( double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57) != inverse(X_57)
| multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) = multiply(inverse(X_57),X_58) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) = multiply(inverse(X_57),X_58),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),inverse(X_57)) )],[refute_0_336,refute_0_339]) ).
cnf(refute_0_341,plain,
inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58),
inference(subst,[],[refute_0_48:[bind(A,$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))),bind(B,$fot(X_58))]]) ).
cnf(refute_0_342,plain,
double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) = inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))))]]) ).
cnf(refute_0_343,plain,
( double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) != inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)))
| inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)
| double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity))),bind(Y,$fot(inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))))),bind(Z,$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)))]]) ).
cnf(refute_0_344,plain,
( inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)
| double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57))),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) != multiply(inverse(X_57),X_58)
| double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)
| double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) = multiply(inverse(X_57),X_58) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity))),bind(Y,$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58))),bind(Z,$fot(multiply(inverse(X_57),X_58)))]]) ).
cnf(refute_0_347,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58) != multiply(inverse(X_57),X_58)
| double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) = multiply(inverse(X_57),X_58) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) = multiply(inverse(X_57),X_58),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57),X_58),multiply(inverse(X_57),X_58)) )],[refute_0_340,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) = multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57))]]) ).
cnf(refute_0_350,plain,
( multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) != multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57)
| double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) != multiply(inverse(X_57),X_58)
| multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) = multiply(multiply(inverse(X_57),X_58),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57),multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57)) ),[1,0],$fot(multiply(inverse(X_57),X_58))]]) ).
cnf(refute_0_351,plain,
( double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity) != multiply(inverse(X_57),X_58)
| multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) = multiply(multiply(inverse(X_57),X_58),X_57) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57),multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) = multiply(multiply(inverse(X_57),X_58),X_57),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),multiply(inverse(X_57),X_58)) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
( multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) != X_58
| multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) != multiply(multiply(inverse(X_57),X_58),X_57)
| multiply(multiply(inverse(X_57),X_58),X_57) = X_58 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57),X_58) ),[0],$fot(multiply(multiply(inverse(X_57),X_58),X_57))]]) ).
cnf(refute_0_354,plain,
( multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57) != X_58
| multiply(multiply(inverse(X_57),X_58),X_57) = X_58 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57),multiply(multiply(inverse(X_57),X_58),X_57)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(multiply(inverse(X_57),X_58),X_57) = X_58,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_58,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_57)),identity),X_57),X_58) )],[refute_0_121,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))),X_59) = inverse(inverse(inverse(inverse(X_59)))),
inference(subst,[],[refute_0_355:[bind(X_57,$fot(X_59)),bind(X_58,$fot(inverse(inverse(inverse(inverse(X_59))))))]]) ).
cnf(refute_0_357,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_358,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_93,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_111,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(inverse(multiply(inverse(X_21),identity)),multiply(inverse(X_21),identity)) = identity,
inference(subst,[],[refute_0_359:[bind(X_3,$fot(multiply(inverse(X_21),identity)))]]) ).
cnf(refute_0_361,plain,
( multiply(inverse(multiply(inverse(X_21),identity)),multiply(inverse(X_21),identity)) != identity
| inverse(multiply(inverse(X_21),identity)) != X_21
| multiply(X_21,multiply(inverse(X_21),identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_21),identity)),multiply(inverse(X_21),identity)),identity) ),[0,0],$fot(X_21)]]) ).
cnf(refute_0_362,plain,
( multiply(inverse(multiply(inverse(X_21),identity)),multiply(inverse(X_21),identity)) != identity
| multiply(X_21,multiply(inverse(X_21),identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_21),identity)),X_21) )],[refute_0_230,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(X_21,multiply(inverse(X_21),identity)) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_21),identity)),multiply(inverse(X_21),identity)),identity) )],[refute_0_360,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(X_21,multiply(inverse(X_21),identity)) = multiply(X_21,multiply(inverse(X_21),identity)),
introduced(tautology,[refl,[$fot(multiply(X_21,multiply(inverse(X_21),identity)))]]) ).
cnf(refute_0_365,plain,
( multiply(X_21,multiply(inverse(X_21),identity)) != multiply(X_21,multiply(inverse(X_21),identity))
| multiply(inverse(X_21),identity) != inverse(multiply(X_21,identity))
| multiply(X_21,multiply(inverse(X_21),identity)) = multiply(X_21,inverse(multiply(X_21,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,multiply(inverse(X_21),identity)),multiply(X_21,multiply(inverse(X_21),identity))) ),[1,1],$fot(inverse(multiply(X_21,identity)))]]) ).
cnf(refute_0_366,plain,
( multiply(inverse(X_21),identity) != inverse(multiply(X_21,identity))
| multiply(X_21,multiply(inverse(X_21),identity)) = multiply(X_21,inverse(multiply(X_21,identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(inverse(X_21),identity)),multiply(X_21,multiply(inverse(X_21),identity))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(X_21,multiply(inverse(X_21),identity)) = multiply(X_21,inverse(multiply(X_21,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_21),identity),inverse(multiply(X_21,identity))) )],[refute_0_239,refute_0_366]) ).
cnf(refute_0_368,plain,
( multiply(X_21,multiply(inverse(X_21),identity)) != multiply(X_21,inverse(multiply(X_21,identity)))
| multiply(X_21,multiply(inverse(X_21),identity)) != identity
| multiply(X_21,inverse(multiply(X_21,identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,multiply(inverse(X_21),identity)),identity) ),[0],$fot(multiply(X_21,inverse(multiply(X_21,identity))))]]) ).
cnf(refute_0_369,plain,
( multiply(X_21,multiply(inverse(X_21),identity)) != identity
| multiply(X_21,inverse(multiply(X_21,identity))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(inverse(X_21),identity)),multiply(X_21,inverse(multiply(X_21,identity)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(X_21,inverse(multiply(X_21,identity))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_21,multiply(inverse(X_21),identity)),identity) )],[refute_0_363,refute_0_369]) ).
cnf(refute_0_371,plain,
inverse(multiply(X_21,identity)) = inverse(inverse(inverse(X_21))),
inference(subst,[],[refute_0_287:[bind(X_28,$fot(X_21))]]) ).
cnf(refute_0_372,plain,
multiply(X_21,inverse(multiply(X_21,identity))) = multiply(X_21,inverse(multiply(X_21,identity))),
introduced(tautology,[refl,[$fot(multiply(X_21,inverse(multiply(X_21,identity))))]]) ).
cnf(refute_0_373,plain,
( multiply(X_21,inverse(multiply(X_21,identity))) != multiply(X_21,inverse(multiply(X_21,identity)))
| inverse(multiply(X_21,identity)) != inverse(inverse(inverse(X_21)))
| multiply(X_21,inverse(multiply(X_21,identity))) = multiply(X_21,inverse(inverse(inverse(X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,inverse(multiply(X_21,identity))),multiply(X_21,inverse(multiply(X_21,identity)))) ),[1,1],$fot(inverse(inverse(inverse(X_21))))]]) ).
cnf(refute_0_374,plain,
( inverse(multiply(X_21,identity)) != inverse(inverse(inverse(X_21)))
| multiply(X_21,inverse(multiply(X_21,identity))) = multiply(X_21,inverse(inverse(inverse(X_21)))) ),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(multiply(X_21,identity))),multiply(X_21,inverse(multiply(X_21,identity)))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(X_21,inverse(multiply(X_21,identity))) = multiply(X_21,inverse(inverse(inverse(X_21)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_21,identity)),inverse(inverse(inverse(X_21)))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( multiply(X_21,inverse(multiply(X_21,identity))) != multiply(X_21,inverse(inverse(inverse(X_21))))
| multiply(X_21,inverse(multiply(X_21,identity))) != identity
| multiply(X_21,inverse(inverse(inverse(X_21)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_21,inverse(multiply(X_21,identity))),identity) ),[0],$fot(multiply(X_21,inverse(inverse(inverse(X_21)))))]]) ).
cnf(refute_0_377,plain,
( multiply(X_21,inverse(multiply(X_21,identity))) != identity
| multiply(X_21,inverse(inverse(inverse(X_21)))) = identity ),
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(multiply(X_21,identity))),multiply(X_21,inverse(inverse(inverse(X_21))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(X_21,inverse(inverse(inverse(X_21)))) = identity,
inference(resolve,[$cnf( $equal(multiply(X_21,inverse(multiply(X_21,identity))),identity) )],[refute_0_370,refute_0_377]) ).
cnf(refute_0_379,plain,
multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))) = identity,
inference(subst,[],[refute_0_378:[bind(X_21,$fot(inverse(X_59)))]]) ).
cnf(refute_0_380,plain,
( multiply(multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))),X_59) != inverse(inverse(inverse(inverse(X_59))))
| multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))) != identity
| multiply(identity,X_59) = inverse(inverse(inverse(inverse(X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))),X_59),inverse(inverse(inverse(inverse(X_59))))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_381,plain,
( multiply(multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))),X_59) != inverse(inverse(inverse(inverse(X_59))))
| multiply(identity,X_59) = inverse(inverse(inverse(inverse(X_59)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))),identity) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(identity,X_59) = inverse(inverse(inverse(inverse(X_59)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_59),inverse(inverse(inverse(inverse(X_59))))),X_59),inverse(inverse(inverse(inverse(X_59))))) )],[refute_0_356,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(identity,X_59) = inverse(inverse(X_59)),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_59))]]) ).
cnf(refute_0_384,plain,
( multiply(identity,X_59) != inverse(inverse(X_59))
| multiply(identity,X_59) != inverse(inverse(inverse(inverse(X_59))))
| inverse(inverse(X_59)) = inverse(inverse(inverse(inverse(X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_59),inverse(inverse(inverse(inverse(X_59))))) ),[0],$fot(inverse(inverse(X_59)))]]) ).
cnf(refute_0_385,plain,
( multiply(identity,X_59) != inverse(inverse(inverse(inverse(X_59))))
| inverse(inverse(X_59)) = inverse(inverse(inverse(inverse(X_59)))) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_59),inverse(inverse(X_59))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
inverse(inverse(inverse(inverse(X_59)))) = X_59,
inference(subst,[],[refute_0_278:[bind(X_27,$fot(X_59))]]) ).
cnf(refute_0_387,plain,
( inverse(inverse(X_59)) != inverse(inverse(inverse(inverse(X_59))))
| inverse(inverse(inverse(inverse(X_59)))) != X_59
| inverse(inverse(X_59)) = X_59 ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(inverse(X_59)),X_59) ),[0],$fot(inverse(inverse(inverse(inverse(X_59)))))]]) ).
cnf(refute_0_388,plain,
( inverse(inverse(X_59)) != inverse(inverse(inverse(inverse(X_59))))
| inverse(inverse(X_59)) = X_59 ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_59)))),X_59) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
( multiply(identity,X_59) != inverse(inverse(inverse(inverse(X_59))))
| inverse(inverse(X_59)) = X_59 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_59)),inverse(inverse(inverse(inverse(X_59))))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
inverse(inverse(X_59)) = X_59,
inference(resolve,[$cnf( $equal(multiply(identity,X_59),inverse(inverse(inverse(inverse(X_59))))) )],[refute_0_382,refute_0_389]) ).
cnf(refute_0_391,plain,
inverse(inverse(a2)) = a2,
inference(subst,[],[refute_0_390:[bind(X_59,$fot(a2))]]) ).
cnf(refute_0_392,plain,
( a2 != a2
| inverse(inverse(a2)) != a2
| inverse(inverse(a2)) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).
cnf(refute_0_393,plain,
( a2 != a2
| inverse(inverse(a2)) = a2 ),
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_393,refute_0_19]) ).
cnf(refute_0_395,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_396,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_395,refute_0_394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP574-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 14 05:12:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41
% 0.19/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.50
%------------------------------------------------------------------------------