%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP582-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 10:42:37 EDT 2022
% Result : Unsatisfiable 0.15s 0.35s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 119
% Syntax : Number of clauses : 409 ( 203 unt; 0 nHn; 217 RR)
% Number of literals : 711 ( 710 equ; 305 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 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 : 623 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = C ).
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(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)))]]) ).
cnf(refute_0_22,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_23,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),C) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)))]]) ).
cnf(refute_0_26,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),C) )],[single_axiom,refute_0_26]) ).
cnf(refute_0_28,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_27:[bind(A,$fot(X_10)),bind(B,$fot(identity)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_29,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) ),[0,0,1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_30,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_29]) ).
cnf(refute_0_31,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) )],[refute_0_28,refute_0_30]) ).
cnf(refute_0_32,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_33,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_32]) ).
cnf(refute_0_34,plain,
inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(subst,[],[refute_0_33:[bind(A,$fot(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_35,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))))]]) ).
cnf(refute_0_36,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_37,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_36]) ).
cnf(refute_0_38,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))
| inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))))),bind(Z,$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)))]]) ).
cnf(refute_0_39,plain,
( inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_34,refute_0_39]) ).
cnf(refute_0_41,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_27:[bind(A,$fot(identity)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_42,plain,
inverse(X_11) = double_divide(X_11,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_43,plain,
( inverse(X_11) != double_divide(X_11,identity)
| double_divide(X_11,identity) = inverse(X_11) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(double_divide(X_11,identity)))]]) ).
cnf(refute_0_44,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_11,identity)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(inverse(X_11))]]) ).
cnf(refute_0_46,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)),X_12) )],[refute_0_41,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)) = X_16,
inference(subst,[],[refute_0_47:[bind(X_11,$fot(X_16)),bind(X_12,$fot(X_16))]]) ).
cnf(refute_0_49,plain,
identity = double_divide(X_16,inverse(X_16)),
inference(subst,[],[identity:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_50,plain,
( identity != double_divide(X_16,inverse(X_16))
| double_divide(X_16,inverse(X_16)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_16,inverse(X_16))))]]) ).
cnf(refute_0_51,plain,
double_divide(X_16,inverse(X_16)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_16,inverse(X_16))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( double_divide(X_16,inverse(X_16)) != identity
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)) != X_16
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)),X_16) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_53,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)) != X_16
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(X_16,inverse(X_16)),identity) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)),X_16) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
inverse(double_divide(identity,X_16)) = multiply(X_16,identity),
inference(subst,[],[refute_0_33:[bind(A,$fot(X_16)),bind(B,$fot(identity))]]) ).
cnf(refute_0_56,plain,
double_divide(double_divide(identity,X_16),identity) = inverse(double_divide(identity,X_16)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_16)))]]) ).
cnf(refute_0_57,plain,
( double_divide(double_divide(identity,X_16),identity) != inverse(double_divide(identity,X_16))
| inverse(double_divide(identity,X_16)) != multiply(X_16,identity)
| double_divide(double_divide(identity,X_16),identity) = multiply(X_16,identity) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(identity,X_16),identity))),bind(Y,$fot(inverse(double_divide(identity,X_16)))),bind(Z,$fot(multiply(X_16,identity)))]]) ).
cnf(refute_0_58,plain,
( inverse(double_divide(identity,X_16)) != multiply(X_16,identity)
| double_divide(double_divide(identity,X_16),identity) = multiply(X_16,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_16),identity),inverse(double_divide(identity,X_16))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(double_divide(identity,X_16),identity) = multiply(X_16,identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_16)),multiply(X_16,identity)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(identity,double_divide(double_divide(identity,X_16),identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(identity,X_16),identity)))]]) ).
cnf(refute_0_61,plain,
( double_divide(double_divide(identity,X_16),identity) != multiply(X_16,identity)
| double_divide(identity,double_divide(double_divide(identity,X_16),identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),identity))
| double_divide(identity,double_divide(double_divide(identity,X_16),identity)) = double_divide(identity,multiply(X_16,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),double_divide(identity,double_divide(double_divide(identity,X_16),identity))) ),[1,1],$fot(multiply(X_16,identity))]]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(identity,X_16),identity) != multiply(X_16,identity)
| double_divide(identity,double_divide(double_divide(identity,X_16),identity)) = double_divide(identity,multiply(X_16,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),double_divide(identity,double_divide(double_divide(identity,X_16),identity))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(identity,double_divide(double_divide(identity,X_16),identity)) = double_divide(identity,multiply(X_16,identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_16),identity),multiply(X_16,identity)) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)))]]) ).
cnf(refute_0_65,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity))
| double_divide(identity,double_divide(double_divide(identity,X_16),identity)) != double_divide(identity,multiply(X_16,identity))
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity))) ),[1,0],$fot(double_divide(identity,multiply(X_16,identity)))]]) ).
cnf(refute_0_66,plain,
( double_divide(identity,double_divide(double_divide(identity,X_16),identity)) != double_divide(identity,multiply(X_16,identity))
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),double_divide(identity,multiply(X_16,identity))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) != X_16
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) != double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity))
| double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)) = X_16 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),X_16) ),[0],$fot(double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)))]]) ).
cnf(refute_0_69,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) != X_16
| double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)) = X_16 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),X_16) )],[refute_0_54,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_70:[bind(X_16,$fot(inverse(identity)))]]) ).
cnf(refute_0_72,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_73,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_74,plain,
( identity != double_divide(X_3,inverse(X_3))
| double_divide(X_3,inverse(X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_3,inverse(X_3))))]]) ).
cnf(refute_0_75,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_77,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( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(identity),identity) = inverse(identity),
inference(subst,[],[refute_0_78:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_80,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| double_divide(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)),inverse(identity)) ),[0,0,1],$fot(inverse(identity))]]) ).
cnf(refute_0_81,plain,
( double_divide(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)),inverse(identity)) )],[refute_0_71,refute_0_81]) ).
cnf(refute_0_83,plain,
( identity != double_divide(A,inverse(A))
| double_divide(A,inverse(A)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(A,inverse(A))))]]) ).
cnf(refute_0_84,plain,
double_divide(A,inverse(A)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(A,inverse(A))) )],[identity,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(identity,inverse(identity)) = identity,
inference(subst,[],[refute_0_84:[bind(A,$fot(identity))]]) ).
cnf(refute_0_86,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(double_divide(identity,inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_87,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(double_divide(identity,inverse(identity)),inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(double_divide(identity,inverse(identity)),inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_88,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(double_divide(identity,inverse(identity)),inverse(identity))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(identity,inverse(identity)),inverse(identity)))),bind(Y,$fot(double_divide(identity,inverse(identity)))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_91,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(identity,inverse(identity))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_85,refute_0_91]) ).
cnf(refute_0_93,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) ),[0],$fot(identity)]]) ).
cnf(refute_0_94,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),identity) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_82,refute_0_94]) ).
cnf(refute_0_96,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_97,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))]]) ).
cnf(refute_0_99,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_100,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) = double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))))]]) ).
cnf(refute_0_103,plain,
( double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) != double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) = double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))),double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_104,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) = double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))),double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) = double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_104]) ).
cnf(refute_0_106,plain,
double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) = double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))))]]) ).
cnf(refute_0_107,plain,
( double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) != double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))))
| double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) != double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))
| double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))))) ),[1,1],$fot(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))]]) ).
cnf(refute_0_108,plain,
( double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) != double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))
| double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))),double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))]]) ).
cnf(refute_0_111,plain,
( double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))]]) ).
cnf(refute_0_112,plain,
( double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) != double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)))]]) ).
cnf(refute_0_115,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)) )],[refute_0_101,refute_0_115]) ).
cnf(refute_0_117,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity))),bind(Z,$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)))]]) ).
cnf(refute_0_118,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_40,refute_0_118]) ).
cnf(refute_0_120,plain,
( double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10))]]) ).
cnf(refute_0_121,plain,
( double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) )],[refute_0_31,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(X_11))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_124,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_125,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_126,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( double_divide(X_11,inverse(X_11)) != identity
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_128,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)),X_12) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
double_divide(X_12,identity) = inverse(X_12),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_131,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))]]) ).
cnf(refute_0_132,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),double_divide(X_12,identity))
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) ),[1,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_133,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))))]]) ).
cnf(refute_0_136,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))) ),[1,1],$fot(double_divide(double_divide(identity,X_11),inverse(X_12)))]]) ).
cnf(refute_0_137,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),inverse(X_12))) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)))]]) ).
cnf(refute_0_140,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))))]]) ).
cnf(refute_0_141,plain,
( double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),X_12) ),[0],$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_144,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),X_12) )],[refute_0_129,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) = double_divide(identity,X_13),
inference(subst,[],[refute_0_145:[bind(X_11,$fot(X_13)),bind(X_12,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_147,plain,
identity = double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_148,plain,
( identity != double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))
| double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))))]]) ).
cnf(refute_0_149,plain,
double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) != identity
| double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)),double_divide(identity,X_13)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_151,plain,
( double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),identity) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_146,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_154,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(double_divide(inverse(X_13),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_13),identity),inverse(identity)))]]) ).
cnf(refute_0_155,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(double_divide(inverse(X_13),identity),inverse(identity))
| double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(double_divide(inverse(X_13),identity),inverse(identity))) ),[1,0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_156,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(double_divide(inverse(X_13),identity),inverse(identity))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(identity,X_13)) ),[0],$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))]]) ).
cnf(refute_0_159,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(identity,X_13)
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_152,refute_0_159]) ).
cnf(refute_0_161,plain,
double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)) = double_divide(identity,double_divide(B,A)),
inference(subst,[],[refute_0_160:[bind(X_13,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_162,plain,
( double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)) != double_divide(identity,double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(identity,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)),double_divide(identity,double_divide(B,A))) ),[0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_163,plain,
( double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)) != double_divide(identity,double_divide(B,A))
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(identity,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_33,refute_0_162]) ).
cnf(refute_0_164,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(identity,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)),double_divide(identity,double_divide(B,A))) )],[refute_0_161,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(inverse(multiply(A,B)),identity) = inverse(inverse(multiply(A,B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_166,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(multiply(A,B)),inverse(identity)))]]) ).
cnf(refute_0_167,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(inverse(multiply(A,B)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_168,plain,
( inverse(identity) != identity
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),inverse(identity))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_168]) ).
cnf(refute_0_170,plain,
( double_divide(inverse(multiply(A,B)),identity) != inverse(inverse(multiply(A,B)))
| double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(inverse(multiply(A,B)),identity)
| double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(inverse(multiply(A,B)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(multiply(A,B)),identity))),bind(Z,$fot(inverse(inverse(multiply(A,B)))))]]) ).
cnf(refute_0_171,plain,
( double_divide(inverse(multiply(A,B)),identity) != inverse(inverse(multiply(A,B)))
| double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),identity)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),identity),inverse(inverse(multiply(A,B)))) )],[refute_0_165,refute_0_171]) ).
cnf(refute_0_173,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(identity,double_divide(B,A))
| double_divide(inverse(multiply(A,B)),inverse(identity)) != inverse(inverse(multiply(A,B)))
| inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(identity,double_divide(B,A))) ),[0],$fot(inverse(inverse(multiply(A,B))))]]) ).
cnf(refute_0_174,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(identity,double_divide(B,A))
| inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),inverse(inverse(multiply(A,B)))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(identity,double_divide(B,A))) )],[refute_0_164,refute_0_174]) ).
cnf(refute_0_176,plain,
( inverse(inverse(multiply(A,B))) != double_divide(identity,double_divide(B,A))
| double_divide(identity,double_divide(B,A)) = inverse(inverse(multiply(A,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(multiply(A,B))))),bind(Y,$fot(double_divide(identity,double_divide(B,A))))]]) ).
cnf(refute_0_177,plain,
double_divide(identity,double_divide(B,A)) = inverse(inverse(multiply(A,B))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(A,B))),double_divide(identity,double_divide(B,A))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))),
inference(subst,[],[refute_0_177:[bind(A,$fot(double_divide(identity,X_10))),bind(B,$fot(X_12))]]) ).
cnf(refute_0_179,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10))]]) ).
cnf(refute_0_180,plain,
( multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) ),[1,0],$fot(inverse(inverse(multiply(double_divide(identity,X_10),X_12))))]]) ).
cnf(refute_0_181,plain,
( double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) != inverse(inverse(multiply(double_divide(identity,X_10),X_12)))
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
( multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != X_12
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),X_12) ),[0],$fot(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10))]]) ).
cnf(refute_0_184,plain,
( multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != X_12
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),X_12) )],[refute_0_122,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_12),X_12))),X_12) = X_12,
inference(subst,[],[refute_0_185:[bind(X_10,$fot(X_12))]]) ).
cnf(refute_0_187,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_27:[bind(A,$fot(multiply(X_2,X_3))),bind(B,$fot(double_divide(X_3,X_2))),bind(C,$fot(X_12))]]) ).
cnf(refute_0_188,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_189,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_190,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_191,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$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_193,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( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_188,refute_0_193]) ).
cnf(refute_0_195,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_196,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)),X_12) ),[0,0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_198,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))),inverse(identity)),X_12) )],[refute_0_187,refute_0_198]) ).
cnf(refute_0_200,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))]]) ).
cnf(refute_0_201,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) ),[1,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_202,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_130,refute_0_202]) ).
cnf(refute_0_204,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))))]]) ).
cnf(refute_0_205,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))) ),[1,1],$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))]]) ).
cnf(refute_0_206,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)))]]) ).
cnf(refute_0_209,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))) ),[1,0],$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))]]) ).
cnf(refute_0_210,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),X_12) ),[0],$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_213,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),double_divide(X_12,identity))),inverse(identity)),X_12) )],[refute_0_199,refute_0_213]) ).
cnf(refute_0_215,plain,
inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(subst,[],[refute_0_33:[bind(A,$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),bind(B,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_216,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))))]]) ).
cnf(refute_0_217,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))
| inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity))),bind(Y,$fot(inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))))),bind(Z,$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_218,plain,
( inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_221,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_222,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_222]) ).
cnf(refute_0_224,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity)
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_225,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),identity),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_219,refute_0_225]) ).
cnf(refute_0_227,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != X_12
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_228,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)) != X_12
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))),inverse(identity)),X_12) )],[refute_0_214,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(identity,double_divide(X_3,X_2)) = inverse(inverse(multiply(X_2,X_3))),
inference(subst,[],[refute_0_177:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_231,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)))]]) ).
cnf(refute_0_232,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))
| double_divide(identity,double_divide(X_3,X_2)) != inverse(inverse(multiply(X_2,X_3)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) ),[1,0],$fot(inverse(inverse(multiply(X_2,X_3))))]]) ).
cnf(refute_0_233,plain,
( double_divide(identity,double_divide(X_3,X_2)) != inverse(inverse(multiply(X_2,X_3)))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) = double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_3,X_2)),inverse(inverse(multiply(X_2,X_3)))) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_236,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))
| double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) ),[1,0],$fot(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)))]]) ).
cnf(refute_0_237,plain,
( double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)) != double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) = multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12))) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),X_12) ),[0],$fot(multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_240,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)) != X_12
| multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
multiply(double_divide(inverse(inverse(multiply(X_2,X_3))),inverse(X_12)),multiply(X_2,X_3)) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_3,X_2)),inverse(X_12)),multiply(X_2,X_3)),X_12) )],[refute_0_229,refute_0_240]) ).
cnf(refute_0_242,plain,
multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = X_12,
inference(subst,[],[refute_0_241:[bind(X_2,$fot(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)))),bind(X_3,$fot(multiply(X_41,X_42)))]]) ).
cnf(refute_0_243,plain,
multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)) = X_40,
inference(subst,[],[refute_0_241:[bind(X_12,$fot(X_40)),bind(X_2,$fot(X_41)),bind(X_3,$fot(X_42))]]) ).
cnf(refute_0_244,plain,
( multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)) != X_40
| multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) != X_12
| multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),X_12) ),[0,0,0,0,0],$fot(X_40)]]) ).
cnf(refute_0_245,plain,
( multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) != X_12
| multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)),X_40) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),X_12) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))))]]) ).
cnf(refute_0_248,plain,
( multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) != multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))
| multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)) != X_40
| multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_249,plain,
( multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)) != X_40
| multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) = multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42)),X_40) )],[refute_0_243,refute_0_249]) ).
cnf(refute_0_251,plain,
( multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) != X_12
| multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) != multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40)
| multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),X_12) ),[0],$fot(multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40))]]) ).
cnf(refute_0_252,plain,
( multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))) != X_12
| multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),X_40) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_40)),inverse(X_12)),multiply(double_divide(inverse(inverse(multiply(X_41,X_42))),inverse(X_40)),multiply(X_41,X_42))),X_12) )],[refute_0_246,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(double_divide(inverse(inverse(X_44)),inverse(multiply(double_divide(identity,X_12),identity))),X_44) = multiply(double_divide(identity,X_12),identity),
inference(subst,[],[refute_0_253:[bind(X_12,$fot(multiply(double_divide(identity,X_12),identity))),bind(X_40,$fot(X_44))]]) ).
cnf(refute_0_255,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),
inference(subst,[],[refute_0_47:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))))]]) ).
cnf(refute_0_256,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)) = X_17,
inference(subst,[],[refute_0_47:[bind(X_11,$fot(X_16)),bind(X_12,$fot(X_17))]]) ).
cnf(refute_0_257,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)) != X_17
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) ),[0,0,1,1],$fot(X_17)]]) ).
cnf(refute_0_258,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)),X_17) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
double_divide(double_divide(identity,identity),X_17) = double_divide(double_divide(identity,identity),X_17),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),X_17))]]) ).
cnf(refute_0_261,plain,
( double_divide(double_divide(identity,identity),X_17) != double_divide(double_divide(identity,identity),X_17)
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),X_17) = double_divide(inverse(identity),X_17) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),X_17),double_divide(double_divide(identity,identity),X_17)) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_262,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),X_17) = double_divide(inverse(identity),X_17) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),X_17),double_divide(double_divide(identity,identity),X_17)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
double_divide(double_divide(identity,identity),X_17) = double_divide(inverse(identity),X_17),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_262]) ).
cnf(refute_0_264,plain,
double_divide(identity,double_divide(double_divide(identity,identity),X_17)) = double_divide(identity,double_divide(double_divide(identity,identity),X_17)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(identity,identity),X_17)))]]) ).
cnf(refute_0_265,plain,
( double_divide(double_divide(identity,identity),X_17) != double_divide(inverse(identity),X_17)
| double_divide(identity,double_divide(double_divide(identity,identity),X_17)) != double_divide(identity,double_divide(double_divide(identity,identity),X_17))
| double_divide(identity,double_divide(double_divide(identity,identity),X_17)) = double_divide(identity,double_divide(inverse(identity),X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),double_divide(identity,double_divide(double_divide(identity,identity),X_17))) ),[1,1],$fot(double_divide(inverse(identity),X_17))]]) ).
cnf(refute_0_266,plain,
( double_divide(double_divide(identity,identity),X_17) != double_divide(inverse(identity),X_17)
| double_divide(identity,double_divide(double_divide(identity,identity),X_17)) = double_divide(identity,double_divide(inverse(identity),X_17)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),double_divide(identity,double_divide(double_divide(identity,identity),X_17))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
double_divide(identity,double_divide(double_divide(identity,identity),X_17)) = double_divide(identity,double_divide(inverse(identity),X_17)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),X_17),double_divide(inverse(identity),X_17)) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)))]]) ).
cnf(refute_0_269,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity))
| double_divide(identity,double_divide(double_divide(identity,identity),X_17)) != double_divide(identity,double_divide(inverse(identity),X_17))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(inverse(identity),X_17)))]]) ).
cnf(refute_0_270,plain,
( double_divide(identity,double_divide(double_divide(identity,identity),X_17)) != double_divide(identity,double_divide(inverse(identity),X_17))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),double_divide(identity,double_divide(inverse(identity),X_17))) )],[refute_0_267,refute_0_270]) ).
cnf(refute_0_272,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) != double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) ),[0],$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)))]]) ).
cnf(refute_0_273,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) )],[refute_0_259,refute_0_273]) ).
cnf(refute_0_275,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)))),bind(Y,$fot(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))))]]) ).
cnf(refute_0_276,plain,
double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),
inference(subst,[],[refute_0_276:[bind(X_16,$fot(X_11)),bind(X_17,$fot(X_12))]]) ).
cnf(refute_0_278,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)))]]) ).
cnf(refute_0_279,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity))
| double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))) != double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity))) ),[1,0],$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))]]) ).
cnf(refute_0_280,plain,
( double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))) != double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))) )],[refute_0_277,refute_0_280]) ).
cnf(refute_0_282,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),X_12) ),[0],$fot(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_283,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != X_12
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),X_12) )],[refute_0_47,refute_0_283]) ).
cnf(refute_0_285,plain,
double_divide(multiply(double_divide(identity,X_12),identity),identity) = inverse(multiply(double_divide(identity,X_12),identity)),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_286,plain,
double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)))]]) ).
cnf(refute_0_287,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))
| inverse(identity) != identity
| double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_288,plain,
( inverse(identity) != identity
| double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_288]) ).
cnf(refute_0_290,plain,
inverse(double_divide(identity,double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),identity),
inference(subst,[],[refute_0_33:[bind(A,$fot(double_divide(identity,X_12))),bind(B,$fot(identity))]]) ).
cnf(refute_0_291,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),identity) = inverse(double_divide(identity,double_divide(identity,X_12))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(identity,X_12))))]]) ).
cnf(refute_0_292,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),identity) != inverse(double_divide(identity,double_divide(identity,X_12)))
| inverse(double_divide(identity,double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(identity,double_divide(identity,X_12)),identity) = multiply(double_divide(identity,X_12),identity) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,X_12)),identity))),bind(Y,$fot(inverse(double_divide(identity,double_divide(identity,X_12))))),bind(Z,$fot(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_293,plain,
( inverse(double_divide(identity,double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(identity,double_divide(identity,X_12)),identity) = multiply(double_divide(identity,X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),identity),inverse(double_divide(identity,double_divide(identity,X_12)))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),identity) = multiply(double_divide(identity,X_12),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,X_12))),multiply(double_divide(identity,X_12),identity)) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)))]]) ).
cnf(refute_0_296,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_297,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_297]) ).
cnf(refute_0_299,plain,
double_divide(inverse(identity),X_12) = double_divide(inverse(identity),X_12),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),X_12))]]) ).
cnf(refute_0_300,plain,
( double_divide(inverse(identity),X_12) != double_divide(inverse(identity),X_12)
| inverse(identity) != identity
| double_divide(inverse(identity),X_12) = double_divide(identity,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),X_12),double_divide(inverse(identity),X_12)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_301,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),X_12) = double_divide(identity,X_12) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_12),double_divide(inverse(identity),X_12)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
double_divide(inverse(identity),X_12) = double_divide(identity,X_12),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_301]) ).
cnf(refute_0_303,plain,
double_divide(identity,double_divide(inverse(identity),X_12)) = double_divide(identity,double_divide(inverse(identity),X_12)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(identity),X_12)))]]) ).
cnf(refute_0_304,plain,
( double_divide(identity,double_divide(inverse(identity),X_12)) != double_divide(identity,double_divide(inverse(identity),X_12))
| double_divide(inverse(identity),X_12) != double_divide(identity,X_12)
| double_divide(identity,double_divide(inverse(identity),X_12)) = double_divide(identity,double_divide(identity,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),X_12)),double_divide(identity,double_divide(inverse(identity),X_12))) ),[1,1],$fot(double_divide(identity,X_12))]]) ).
cnf(refute_0_305,plain,
( double_divide(inverse(identity),X_12) != double_divide(identity,X_12)
| double_divide(identity,double_divide(inverse(identity),X_12)) = double_divide(identity,double_divide(identity,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),X_12)),double_divide(identity,double_divide(inverse(identity),X_12))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
double_divide(identity,double_divide(inverse(identity),X_12)) = double_divide(identity,double_divide(identity,X_12)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_12),double_divide(identity,X_12)) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))]]) ).
cnf(refute_0_308,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))
| double_divide(identity,double_divide(inverse(identity),X_12)) != double_divide(identity,double_divide(identity,X_12))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(identity,X_12)))]]) ).
cnf(refute_0_309,plain,
( double_divide(identity,double_divide(inverse(identity),X_12)) != double_divide(identity,double_divide(identity,X_12))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),X_12)),double_divide(identity,double_divide(identity,X_12))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(identity,X_12)),identity)))]]) ).
cnf(refute_0_312,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),identity)) )],[refute_0_298,refute_0_312]) ).
cnf(refute_0_314,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),identity) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = multiply(double_divide(identity,X_12),identity) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(identity,X_12)),identity))),bind(Z,$fot(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_315,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),identity) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = multiply(double_divide(identity,X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),identity)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = multiply(double_divide(identity,X_12),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),identity),multiply(double_divide(identity,X_12),identity)) )],[refute_0_294,refute_0_315]) ).
cnf(refute_0_317,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_318,plain,
( double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))) ),[1,0],$fot(multiply(double_divide(identity,X_12),identity))]]) ).
cnf(refute_0_319,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),multiply(double_divide(identity,X_12),identity)) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),identity)
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)))),bind(Y,$fot(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)))),bind(Z,$fot(double_divide(multiply(double_divide(identity,X_12),identity),identity)))]]) ).
cnf(refute_0_322,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),identity)
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),identity)) )],[refute_0_289,refute_0_322]) ).
cnf(refute_0_324,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),identity) != inverse(multiply(double_divide(identity,X_12),identity))
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),identity)
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = inverse(multiply(double_divide(identity,X_12),identity)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)))),bind(Y,$fot(double_divide(multiply(double_divide(identity,X_12),identity),identity))),bind(Z,$fot(inverse(multiply(double_divide(identity,X_12),identity))))]]) ).
cnf(refute_0_325,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),identity) != inverse(multiply(double_divide(identity,X_12),identity))
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = inverse(multiply(double_divide(identity,X_12),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),identity)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = inverse(multiply(double_divide(identity,X_12),identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_12),identity),identity),inverse(multiply(double_divide(identity,X_12),identity))) )],[refute_0_285,refute_0_325]) ).
cnf(refute_0_327,plain,
( double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != X_12
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != inverse(multiply(double_divide(identity,X_12),identity))
| inverse(multiply(double_divide(identity,X_12),identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),X_12) ),[0],$fot(inverse(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_328,plain,
( double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != X_12
| inverse(multiply(double_divide(identity,X_12),identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),inverse(multiply(double_divide(identity,X_12),identity))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
inverse(multiply(double_divide(identity,X_12),identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),X_12) )],[refute_0_284,refute_0_328]) ).
cnf(refute_0_330,plain,
( multiply(double_divide(inverse(inverse(X_44)),inverse(multiply(double_divide(identity,X_12),identity))),X_44) != multiply(double_divide(identity,X_12),identity)
| inverse(multiply(double_divide(identity,X_12),identity)) != X_12
| multiply(double_divide(inverse(inverse(X_44)),X_12),X_44) = multiply(double_divide(identity,X_12),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_44)),inverse(multiply(double_divide(identity,X_12),identity))),X_44),multiply(double_divide(identity,X_12),identity)) ),[0,0,1],$fot(X_12)]]) ).
cnf(refute_0_331,plain,
( multiply(double_divide(inverse(inverse(X_44)),inverse(multiply(double_divide(identity,X_12),identity))),X_44) != multiply(double_divide(identity,X_12),identity)
| multiply(double_divide(inverse(inverse(X_44)),X_12),X_44) = multiply(double_divide(identity,X_12),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_12),identity)),X_12) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
multiply(double_divide(inverse(inverse(X_44)),X_12),X_44) = multiply(double_divide(identity,X_12),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_44)),inverse(multiply(double_divide(identity,X_12),identity))),X_44),multiply(double_divide(identity,X_12),identity)) )],[refute_0_254,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(double_divide(inverse(inverse(X_52)),identity),X_52) = multiply(double_divide(identity,identity),identity),
inference(subst,[],[refute_0_332:[bind(X_12,$fot(identity)),bind(X_44,$fot(X_52))]]) ).
cnf(refute_0_334,plain,
inverse(inverse(inverse(X_52))) = double_divide(inverse(inverse(X_52)),identity),
inference(subst,[],[inverse:[bind(A,$fot(inverse(inverse(X_52))))]]) ).
cnf(refute_0_335,plain,
( inverse(inverse(inverse(X_52))) != double_divide(inverse(inverse(X_52)),identity)
| double_divide(inverse(inverse(X_52)),identity) = inverse(inverse(inverse(X_52))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(inverse(X_52))))),bind(Y,$fot(double_divide(inverse(inverse(X_52)),identity)))]]) ).
cnf(refute_0_336,plain,
double_divide(inverse(inverse(X_52)),identity) = inverse(inverse(inverse(X_52))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_52))),double_divide(inverse(inverse(X_52)),identity)) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
( multiply(double_divide(inverse(inverse(X_52)),identity),X_52) != multiply(double_divide(identity,identity),identity)
| double_divide(inverse(inverse(X_52)),identity) != inverse(inverse(inverse(X_52)))
| multiply(inverse(inverse(inverse(X_52))),X_52) = multiply(double_divide(identity,identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),identity),X_52),multiply(double_divide(identity,identity),identity)) ),[0,0],$fot(inverse(inverse(inverse(X_52))))]]) ).
cnf(refute_0_338,plain,
( multiply(double_divide(inverse(inverse(X_52)),identity),X_52) != multiply(double_divide(identity,identity),identity)
| multiply(inverse(inverse(inverse(X_52))),X_52) = multiply(double_divide(identity,identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_52)),identity),inverse(inverse(inverse(X_52)))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
multiply(inverse(inverse(inverse(X_52))),X_52) = multiply(double_divide(identity,identity),identity),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_52)),identity),X_52),multiply(double_divide(identity,identity),identity)) )],[refute_0_333,refute_0_338]) ).
cnf(refute_0_340,plain,
double_divide(inverse(inverse(X_13)),identity) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_341,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))]]) ).
cnf(refute_0_342,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_343,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_343]) ).
cnf(refute_0_345,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),identity)
| double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(X_13)),identity))),bind(Z,$fot(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_346,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),identity)) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) )],[refute_0_340,refute_0_346]) ).
cnf(refute_0_348,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(identity,X_13)
| double_divide(inverse(inverse(X_13)),inverse(identity)) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(X_13))) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(identity,X_13)) ),[0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_349,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(identity,X_13)
| inverse(inverse(inverse(X_13))) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),inverse(inverse(inverse(X_13)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
inverse(inverse(inverse(X_13))) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_160,refute_0_349]) ).
cnf(refute_0_351,plain,
inverse(inverse(inverse(X_52))) = double_divide(identity,X_52),
inference(subst,[],[refute_0_350:[bind(X_13,$fot(X_52))]]) ).
cnf(refute_0_352,plain,
multiply(inverse(inverse(inverse(X_52))),X_52) = multiply(inverse(inverse(inverse(X_52))),X_52),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(inverse(X_52))),X_52))]]) ).
cnf(refute_0_353,plain,
( multiply(inverse(inverse(inverse(X_52))),X_52) != multiply(inverse(inverse(inverse(X_52))),X_52)
| inverse(inverse(inverse(X_52))) != double_divide(identity,X_52)
| multiply(inverse(inverse(inverse(X_52))),X_52) = multiply(double_divide(identity,X_52),X_52) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_52))),X_52),multiply(inverse(inverse(inverse(X_52))),X_52)) ),[1,0],$fot(double_divide(identity,X_52))]]) ).
cnf(refute_0_354,plain,
( inverse(inverse(inverse(X_52))) != double_divide(identity,X_52)
| multiply(inverse(inverse(inverse(X_52))),X_52) = multiply(double_divide(identity,X_52),X_52) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_52))),X_52),multiply(inverse(inverse(inverse(X_52))),X_52)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
multiply(inverse(inverse(inverse(X_52))),X_52) = multiply(double_divide(identity,X_52),X_52),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_52))),double_divide(identity,X_52)) )],[refute_0_351,refute_0_354]) ).
cnf(refute_0_356,plain,
( multiply(inverse(inverse(inverse(X_52))),X_52) != multiply(double_divide(identity,X_52),X_52)
| multiply(inverse(inverse(inverse(X_52))),X_52) != multiply(double_divide(identity,identity),identity)
| multiply(double_divide(identity,X_52),X_52) = multiply(double_divide(identity,identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(X_52))),X_52),multiply(double_divide(identity,identity),identity)) ),[0],$fot(multiply(double_divide(identity,X_52),X_52))]]) ).
cnf(refute_0_357,plain,
( multiply(inverse(inverse(inverse(X_52))),X_52) != multiply(double_divide(identity,identity),identity)
| multiply(double_divide(identity,X_52),X_52) = multiply(double_divide(identity,identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_52))),X_52),multiply(double_divide(identity,X_52),X_52)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_359,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_360,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_360]) ).
cnf(refute_0_362,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_37:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_363,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(identity,identity) = inverse(inverse(identity)),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_366,plain,
( multiply(identity,identity) != inverse(inverse(identity))
| inverse(inverse(identity)) != identity
| multiply(identity,identity) = identity ),
inference(subst,[],[refute_0_37:[bind(X,$fot(multiply(identity,identity))),bind(Y,$fot(inverse(inverse(identity)))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_367,plain,
( inverse(inverse(identity)) != identity
| multiply(identity,identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(identity,identity) = identity,
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( double_divide(identity,identity) != inverse(identity)
| inverse(identity) != identity
| double_divide(identity,identity) = identity ),
inference(subst,[],[refute_0_37:[bind(X,$fot(double_divide(identity,identity))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_370,plain,
( inverse(identity) != identity
| double_divide(identity,identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_369]) ).
cnf(refute_0_371,plain,
double_divide(identity,identity) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_97,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(double_divide(identity,identity),identity) = multiply(double_divide(identity,identity),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,identity),identity))]]) ).
cnf(refute_0_373,plain,
( multiply(double_divide(identity,identity),identity) != multiply(double_divide(identity,identity),identity)
| double_divide(identity,identity) != identity
| multiply(double_divide(identity,identity),identity) = multiply(identity,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,identity),identity),multiply(double_divide(identity,identity),identity)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_374,plain,
( double_divide(identity,identity) != identity
| multiply(double_divide(identity,identity),identity) = multiply(identity,identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,identity),identity),multiply(double_divide(identity,identity),identity)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(double_divide(identity,identity),identity) = multiply(identity,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),identity) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( multiply(double_divide(identity,identity),identity) != multiply(identity,identity)
| multiply(identity,identity) != identity
| multiply(double_divide(identity,identity),identity) = identity ),
inference(subst,[],[refute_0_37:[bind(X,$fot(multiply(double_divide(identity,identity),identity))),bind(Y,$fot(multiply(identity,identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_377,plain,
( multiply(identity,identity) != identity
| multiply(double_divide(identity,identity),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,identity),identity),multiply(identity,identity)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(double_divide(identity,identity),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(identity,identity),identity) )],[refute_0_368,refute_0_377]) ).
cnf(refute_0_379,plain,
( multiply(double_divide(identity,X_52),X_52) != multiply(double_divide(identity,identity),identity)
| multiply(double_divide(identity,identity),identity) != identity
| multiply(double_divide(identity,X_52),X_52) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(identity,X_52),X_52),identity) ),[0],$fot(multiply(double_divide(identity,identity),identity))]]) ).
cnf(refute_0_380,plain,
( multiply(double_divide(identity,X_52),X_52) != multiply(double_divide(identity,identity),identity)
| multiply(double_divide(identity,X_52),X_52) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,identity),identity),identity) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( multiply(inverse(inverse(inverse(X_52))),X_52) != multiply(double_divide(identity,identity),identity)
| multiply(double_divide(identity,X_52),X_52) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_52),X_52),multiply(double_divide(identity,identity),identity)) )],[refute_0_357,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(double_divide(identity,X_52),X_52) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(X_52))),X_52),multiply(double_divide(identity,identity),identity)) )],[refute_0_339,refute_0_381]) ).
cnf(refute_0_383,plain,
multiply(double_divide(identity,X_12),X_12) = identity,
inference(subst,[],[refute_0_382:[bind(X_52,$fot(X_12))]]) ).
cnf(refute_0_384,plain,
( multiply(double_divide(identity,X_12),X_12) != identity
| multiply(inverse(inverse(multiply(double_divide(identity,X_12),X_12))),X_12) != X_12
| multiply(inverse(inverse(identity)),X_12) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_12),X_12))),X_12),X_12) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_385,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_12),X_12))),X_12) != X_12
| multiply(inverse(inverse(identity)),X_12) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),X_12),identity) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
multiply(inverse(inverse(identity)),X_12) = X_12,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_12),X_12))),X_12),X_12) )],[refute_0_186,refute_0_385]) ).
cnf(refute_0_387,plain,
multiply(identity,X_12) = inverse(inverse(X_12)),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_12))]]) ).
cnf(refute_0_388,plain,
multiply(inverse(inverse(identity)),X_12) = multiply(inverse(inverse(identity)),X_12),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(identity)),X_12))]]) ).
cnf(refute_0_389,plain,
( multiply(inverse(inverse(identity)),X_12) != multiply(inverse(inverse(identity)),X_12)
| inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),X_12) = multiply(identity,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),X_12),multiply(inverse(inverse(identity)),X_12)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_390,plain,
( inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),X_12) = multiply(identity,X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_12),multiply(inverse(inverse(identity)),X_12)) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(inverse(inverse(identity)),X_12) = multiply(identity,X_12),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_364,refute_0_390]) ).
cnf(refute_0_392,plain,
( multiply(identity,X_12) != inverse(inverse(X_12))
| multiply(inverse(inverse(identity)),X_12) != multiply(identity,X_12)
| multiply(inverse(inverse(identity)),X_12) = inverse(inverse(X_12)) ),
inference(subst,[],[refute_0_37:[bind(X,$fot(multiply(inverse(inverse(identity)),X_12))),bind(Y,$fot(multiply(identity,X_12))),bind(Z,$fot(inverse(inverse(X_12))))]]) ).
cnf(refute_0_393,plain,
( multiply(identity,X_12) != inverse(inverse(X_12))
| multiply(inverse(inverse(identity)),X_12) = inverse(inverse(X_12)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_12),multiply(identity,X_12)) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(inverse(inverse(identity)),X_12) = inverse(inverse(X_12)),
inference(resolve,[$cnf( $equal(multiply(identity,X_12),inverse(inverse(X_12))) )],[refute_0_387,refute_0_393]) ).
cnf(refute_0_395,plain,
( multiply(inverse(inverse(identity)),X_12) != X_12
| multiply(inverse(inverse(identity)),X_12) != inverse(inverse(X_12))
| inverse(inverse(X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),X_12),X_12) ),[0],$fot(inverse(inverse(X_12)))]]) ).
cnf(refute_0_396,plain,
( multiply(inverse(inverse(identity)),X_12) != X_12
| inverse(inverse(X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_12),inverse(inverse(X_12))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
inverse(inverse(X_12)) = X_12,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_12),X_12) )],[refute_0_386,refute_0_396]) ).
cnf(refute_0_398,plain,
inverse(inverse(a2)) = a2,
inference(subst,[],[refute_0_397:[bind(X_12,$fot(a2))]]) ).
cnf(refute_0_399,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_400,plain,
( a2 != a2
| inverse(inverse(a2)) = a2 ),
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_400,refute_0_19]) ).
cnf(refute_0_402,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_403,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_402,refute_0_401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP582-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.10 % Command : metis --show proof --show saturation %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Mon Jun 13 10:01:56 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35
% 0.15/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.41
%------------------------------------------------------------------------------