TSTP Solution File: GRP583-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.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 0.77s 0.95s
% Output : CNFRefutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 94
% Number of leaves : 266
% Syntax : Number of clauses : 1038 ( 513 unt; 0 nHn; 510 RR)
% Number of literals : 1812 (1811 equ; 777 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1783 ( 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_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$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( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_7]) ).
cnf(refute_0_9,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_10,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,[$fot(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)))]]) ).
cnf(refute_0_11,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) ),
introduced(tautology,[equality,[$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_12,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( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
( double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C ),
introduced(tautology,[equality,[$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_15,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( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(identity,B),double_divide(C,double_divide(B,A)))),double_divide(identity,identity)),C) )],[single_axiom,refute_0_15]) ).
cnf(refute_0_17,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_16:[bind(A,$fot(X_10)),bind(B,$fot(identity)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_18,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_19,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( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_22,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_21]) ).
cnf(refute_0_23,plain,
inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))))]]) ).
cnf(refute_0_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_25]) ).
cnf(refute_0_27,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))
| inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(subst,[],[refute_0_26:[bind(X,$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_28,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( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_23,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_16:[bind(A,$fot(identity)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_31,plain,
inverse(X_11) = double_divide(X_11,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_32,plain,
( inverse(X_11) != double_divide(X_11,identity)
| double_divide(X_11,identity) = inverse(X_11) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(double_divide(X_11,identity)))]]) ).
cnf(refute_0_33,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(resolve,[$cnf( $equal(inverse(X_11),double_divide(X_11,identity)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$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_35,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( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,identity)))),inverse(identity)),X_12) )],[refute_0_30,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)) = X_16,
inference(subst,[],[refute_0_36:[bind(X_11,$fot(X_16)),bind(X_12,$fot(X_16))]]) ).
cnf(refute_0_38,plain,
identity = double_divide(X_16,inverse(X_16)),
inference(subst,[],[identity:[bind(A,$fot(X_16))]]) ).
cnf(refute_0_39,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_40,plain,
double_divide(X_16,inverse(X_16)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_16,inverse(X_16))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( double_divide(X_16,inverse(X_16)) != identity
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)) != X_16
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = X_16 ),
introduced(tautology,[equality,[$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_42,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( $equal(double_divide(X_16,inverse(X_16)),identity) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_16,inverse(X_16)))),inverse(identity)),X_16) )],[refute_0_37,refute_0_42]) ).
cnf(refute_0_44,plain,
inverse(double_divide(identity,X_16)) = multiply(X_16,identity),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_16)),bind(B,$fot(identity))]]) ).
cnf(refute_0_45,plain,
double_divide(double_divide(identity,X_16),identity) = inverse(double_divide(identity,X_16)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,X_16)))]]) ).
cnf(refute_0_46,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_26:[bind(X,$fot(double_divide(double_divide(identity,X_16),identity))),bind(Y,$fot(inverse(double_divide(identity,X_16)))),bind(Z,$fot(multiply(X_16,identity)))]]) ).
cnf(refute_0_47,plain,
( inverse(double_divide(identity,X_16)) != multiply(X_16,identity)
| double_divide(double_divide(identity,X_16),identity) = multiply(X_16,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_16),identity),inverse(double_divide(identity,X_16))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(double_divide(identity,X_16),identity) = multiply(X_16,identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_16)),multiply(X_16,identity)) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
double_divide(identity,double_divide(double_divide(identity,X_16),identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(identity,X_16),identity)))]]) ).
cnf(refute_0_50,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_51,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( $equal(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),double_divide(identity,double_divide(double_divide(identity,X_16),identity))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(identity,double_divide(double_divide(identity,X_16),identity)) = double_divide(identity,multiply(X_16,identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_16),identity),multiply(X_16,identity)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)))]]) ).
cnf(refute_0_54,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_55,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( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) = double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),double_divide(identity,multiply(X_16,identity))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) != X_16
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)) != double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity))
| double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)) = X_16 ),
introduced(tautology,[equality,[$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_58,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( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(double_divide(identity,multiply(X_16,identity)),inverse(identity)) = X_16,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),identity)),inverse(identity)),X_16) )],[refute_0_43,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_59:[bind(X_16,$fot(inverse(identity)))]]) ).
cnf(refute_0_61,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_62,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_63,plain,
( identity != double_divide(X_3,inverse(X_3))
| double_divide(X_3,inverse(X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_3,inverse(X_3))))]]) ).
cnf(refute_0_64,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_66,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( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_61,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(inverse(identity),identity) = inverse(identity),
inference(subst,[],[refute_0_67:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_69,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_70,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( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(inverse(identity),identity)),inverse(identity)),inverse(identity)) )],[refute_0_60,refute_0_70]) ).
cnf(refute_0_72,plain,
( identity != double_divide(A,inverse(A))
| double_divide(A,inverse(A)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(A,inverse(A))))]]) ).
cnf(refute_0_73,plain,
double_divide(A,inverse(A)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(A,inverse(A))) )],[identity,refute_0_72]) ).
cnf(refute_0_74,plain,
double_divide(identity,inverse(identity)) = identity,
inference(subst,[],[refute_0_73:[bind(A,$fot(identity))]]) ).
cnf(refute_0_75,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(double_divide(identity,inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_76,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(double_divide(identity,inverse(identity)),inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
introduced(tautology,[equality,[$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_77,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(double_divide(identity,inverse(identity)),inverse(identity))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = double_divide(identity,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity ),
inference(subst,[],[refute_0_26:[bind(X,$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_80,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),double_divide(identity,inverse(identity))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(double_divide(identity,inverse(identity)),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_74,refute_0_80]) ).
cnf(refute_0_82,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != identity
| double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) ),[0],$fot(identity)]]) ).
cnf(refute_0_83,plain,
( double_divide(double_divide(identity,inverse(identity)),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),identity) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_71,refute_0_83]) ).
cnf(refute_0_85,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_86,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)))]]) ).
cnf(refute_0_88,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_89,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( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) = double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))))]]) ).
cnf(refute_0_92,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_93,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( $equal(double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))),double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))) = double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_93]) ).
cnf(refute_0_95,plain,
double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) = double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))))]]) ).
cnf(refute_0_96,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_97,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( $equal(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))) = double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10))),double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
introduced(tautology,[refl,[$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_100,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_101,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( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10))))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$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_104,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( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)) )],[refute_0_90,refute_0_104]) ).
cnf(refute_0_106,plain,
( double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) ),
inference(subst,[],[refute_0_26:[bind(X,$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_107,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( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,double_divide(X_12,double_divide(identity,X_10)))),identity),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_29,refute_0_107]) ).
cnf(refute_0_109,plain,
( double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)) != multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12 ),
introduced(tautology,[equality,[$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_110,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( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(identity),double_divide(X_12,double_divide(identity,X_10)))),inverse(identity)),X_12) )],[refute_0_20,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_16:[bind(A,$fot(inverse(X_11))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_113,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_114,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_115,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
( double_divide(X_11,inverse(X_11)) != identity
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$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_117,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( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,inverse(X_11))))),inverse(identity)),X_12) )],[refute_0_112,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(X_12,identity) = inverse(X_12),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_120,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,[$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))]]) ).
cnf(refute_0_121,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) != double_divide(double_divide(identity,X_11),double_divide(X_12,identity))
| double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$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_122,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( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,identity)) = double_divide(double_divide(identity,X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))))]]) ).
cnf(refute_0_125,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_126,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( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,identity)),double_divide(double_divide(identity,X_11),inverse(X_12))) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$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_129,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_130,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( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$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_133,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( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),double_divide(X_12,identity))),inverse(identity)),X_12) )],[refute_0_118,refute_0_133]) ).
cnf(refute_0_135,plain,
double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) = double_divide(identity,X_13),
inference(subst,[],[refute_0_134:[bind(X_11,$fot(X_13)),bind(X_12,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_136,plain,
identity = double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_137,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_138,plain,
double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))) != identity
| double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$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_140,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( $equal(double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13))),identity) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(double_divide(identity,X_13)))),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_135,refute_0_140]) ).
cnf(refute_0_142,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_143,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(double_divide(inverse(X_13),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_13),identity),inverse(identity)))]]) ).
cnf(refute_0_144,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(double_divide(inverse(X_13),identity),inverse(identity))
| double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)) ),
introduced(tautology,[equality,[$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_145,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( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(double_divide(inverse(X_13),identity),inverse(identity))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
double_divide(double_divide(inverse(X_13),identity),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
( double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(identity,X_13)
| double_divide(double_divide(inverse(X_13),identity),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$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_148,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( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),identity),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_141,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)) = double_divide(identity,double_divide(B,A)),
inference(subst,[],[refute_0_149:[bind(X_13,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_151,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_152,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( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_22,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(identity,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(double_divide(B,A))),inverse(identity)),double_divide(identity,double_divide(B,A))) )],[refute_0_150,refute_0_152]) ).
cnf(refute_0_154,plain,
double_divide(inverse(multiply(A,B)),identity) = inverse(inverse(multiply(A,B))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_155,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(multiply(A,B)),inverse(identity)))]]) ).
cnf(refute_0_156,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(inverse(multiply(A,B)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity) ),
introduced(tautology,[equality,[$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_157,plain,
( inverse(identity) != identity
| double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),inverse(identity))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = double_divide(inverse(multiply(A,B)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_157]) ).
cnf(refute_0_159,plain,
( double_divide(inverse(multiply(A,B)),identity) != inverse(inverse(multiply(A,B)))
| double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(inverse(multiply(A,B)),identity)
| double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))) ),
inference(subst,[],[refute_0_26:[bind(X,$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_160,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( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(inverse(multiply(A,B)),identity)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
double_divide(inverse(multiply(A,B)),inverse(identity)) = inverse(inverse(multiply(A,B))),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),identity),inverse(inverse(multiply(A,B)))) )],[refute_0_154,refute_0_160]) ).
cnf(refute_0_162,plain,
( double_divide(inverse(multiply(A,B)),inverse(identity)) != double_divide(identity,double_divide(B,A))
| double_divide(inverse(multiply(A,B)),inverse(identity)) != inverse(inverse(multiply(A,B)))
| inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)) ),
introduced(tautology,[equality,[$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_163,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( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),inverse(inverse(multiply(A,B)))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(inverse(multiply(A,B))) = double_divide(identity,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(A,B)),inverse(identity)),double_divide(identity,double_divide(B,A))) )],[refute_0_153,refute_0_163]) ).
cnf(refute_0_165,plain,
( inverse(inverse(multiply(A,B))) != double_divide(identity,double_divide(B,A))
| double_divide(identity,double_divide(B,A)) = inverse(inverse(multiply(A,B))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(multiply(A,B))))),bind(Y,$fot(double_divide(identity,double_divide(B,A))))]]) ).
cnf(refute_0_166,plain,
double_divide(identity,double_divide(B,A)) = inverse(inverse(multiply(A,B))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(A,B))),double_divide(identity,double_divide(B,A))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
double_divide(identity,double_divide(X_12,double_divide(identity,X_10))) = inverse(inverse(multiply(double_divide(identity,X_10),X_12))),
inference(subst,[],[refute_0_166:[bind(A,$fot(double_divide(identity,X_10))),bind(B,$fot(X_12))]]) ).
cnf(refute_0_168,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10))]]) ).
cnf(refute_0_169,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_170,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( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),inverse(inverse(multiply(double_divide(identity,X_10),X_12)))) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != X_12
| multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10) != multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12 ),
introduced(tautology,[equality,[$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_173,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( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,double_divide(X_12,double_divide(identity,X_10))),X_10),X_12) )],[refute_0_111,refute_0_173]) ).
cnf(refute_0_175,plain,
multiply(inverse(inverse(multiply(double_divide(identity,inverse(X_15)),X_33))),inverse(X_15)) = X_33,
inference(subst,[],[refute_0_174:[bind(X_10,$fot(inverse(X_15))),bind(X_12,$fot(X_33))]]) ).
cnf(refute_0_176,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(inverse(inverse(X_15)),inverse(identity))),
inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_177,plain,
double_divide(inverse(inverse(X_15)),inverse(identity)) = double_divide(identity,X_15),
inference(subst,[],[refute_0_149:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_178,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))
| double_divide(inverse(inverse(X_15)),inverse(identity)) != double_divide(identity,X_15)
| multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))) ),[1,0],$fot(double_divide(identity,X_15))]]) ).
cnf(refute_0_179,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))
| multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_15)),inverse(identity)),double_divide(identity,X_15)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = inverse(double_divide(identity,X_15)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(inverse(inverse(X_15)),inverse(identity)))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
inverse(double_divide(identity,X_15)) = multiply(X_15,identity),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_15)),bind(B,$fot(identity))]]) ).
cnf(refute_0_182,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(identity,X_15))
| inverse(double_divide(identity,X_15)) != multiply(X_15,identity)
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) ),[0],$fot(inverse(double_divide(identity,X_15)))]]) ).
cnf(refute_0_183,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != inverse(double_divide(identity,X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_15)),multiply(X_15,identity)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),inverse(double_divide(identity,X_15))) )],[refute_0_180,refute_0_183]) ).
cnf(refute_0_185,plain,
double_divide(inverse(inverse(X_13)),identity) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_186,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_13)),inverse(identity)))]]) ).
cnf(refute_0_187,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
introduced(tautology,[equality,[$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_188,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),inverse(identity))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = double_divide(inverse(inverse(X_13)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_188]) ).
cnf(refute_0_190,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(inverse(inverse(X_13)),identity)
| double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(subst,[],[refute_0_26:[bind(X,$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_191,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( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(inverse(inverse(X_13)),identity)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
double_divide(inverse(inverse(X_13)),inverse(identity)) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) )],[refute_0_185,refute_0_191]) ).
cnf(refute_0_193,plain,
( double_divide(inverse(inverse(X_13)),inverse(identity)) != double_divide(identity,X_13)
| double_divide(inverse(inverse(X_13)),inverse(identity)) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(X_13))) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$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_194,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( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),inverse(inverse(inverse(X_13)))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(inverse(inverse(X_13))) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),inverse(identity)),double_divide(identity,X_13)) )],[refute_0_149,refute_0_194]) ).
cnf(refute_0_196,plain,
inverse(inverse(inverse(inverse(X_15)))) = double_divide(identity,inverse(X_15)),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(inverse(X_15)))]]) ).
cnf(refute_0_197,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_198,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_199,plain,
( inverse(X_3) != double_divide(X_3,identity)
| double_divide(X_3,identity) = inverse(X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(double_divide(X_3,identity)))]]) ).
cnf(refute_0_200,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_202,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_197,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(identity,inverse(inverse(X_15))) = inverse(inverse(inverse(inverse(X_15)))),
inference(subst,[],[refute_0_203:[bind(X_3,$fot(inverse(inverse(X_15))))]]) ).
cnf(refute_0_205,plain,
( multiply(identity,inverse(inverse(X_15))) != inverse(inverse(inverse(inverse(X_15))))
| inverse(inverse(inverse(inverse(X_15)))) != double_divide(identity,inverse(X_15))
| multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(identity,inverse(inverse(X_15))))),bind(Y,$fot(inverse(inverse(inverse(inverse(X_15)))))),bind(Z,$fot(double_divide(identity,inverse(X_15))))]]) ).
cnf(refute_0_206,plain,
( inverse(inverse(inverse(inverse(X_15)))) != double_divide(identity,inverse(X_15))
| multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_15))),inverse(inverse(inverse(inverse(X_15))))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(identity,inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_15)))),double_divide(identity,inverse(X_15))) )],[refute_0_196,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(inverse(identity),inverse(inverse(X_15))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(inverse(X_15))))]]) ).
cnf(refute_0_209,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(inverse(identity),inverse(inverse(X_15)))
| inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(inverse(identity),inverse(inverse(X_15)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_210,plain,
( inverse(identity) != identity
| multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(inverse(identity),inverse(inverse(X_15)))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = multiply(identity,inverse(inverse(X_15))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_210]) ).
cnf(refute_0_212,plain,
( multiply(identity,inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) != multiply(identity,inverse(inverse(X_15)))
| multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(inverse(identity),inverse(inverse(X_15))))),bind(Y,$fot(multiply(identity,inverse(inverse(X_15))))),bind(Z,$fot(double_divide(identity,inverse(X_15))))]]) ).
cnf(refute_0_213,plain,
( multiply(identity,inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(identity,inverse(inverse(X_15)))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
multiply(inverse(identity),inverse(inverse(X_15))) = double_divide(identity,inverse(X_15)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(X_15))),double_divide(identity,inverse(X_15))) )],[refute_0_207,refute_0_213]) ).
cnf(refute_0_215,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(X_15,identity)
| multiply(inverse(identity),inverse(inverse(X_15))) != double_divide(identity,inverse(X_15))
| double_divide(identity,inverse(X_15)) = multiply(X_15,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) ),[0],$fot(double_divide(identity,inverse(X_15)))]]) ).
cnf(refute_0_216,plain,
( multiply(inverse(identity),inverse(inverse(X_15))) != multiply(X_15,identity)
| double_divide(identity,inverse(X_15)) = multiply(X_15,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),double_divide(identity,inverse(X_15))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
double_divide(identity,inverse(X_15)) = multiply(X_15,identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(X_15))),multiply(X_15,identity)) )],[refute_0_184,refute_0_216]) ).
cnf(refute_0_218,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,inverse(X_15)),X_33))),inverse(X_15)) != X_33
| double_divide(identity,inverse(X_15)) != multiply(X_15,identity)
| multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,inverse(X_15)),X_33))),inverse(X_15)),X_33) ),[0,0,0,0,0],$fot(multiply(X_15,identity))]]) ).
cnf(refute_0_219,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,inverse(X_15)),X_33))),inverse(X_15)) != X_33
| multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) = X_33 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_15)),multiply(X_15,identity)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) = X_33,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,inverse(X_15)),X_33))),inverse(X_15)),X_33) )],[refute_0_175,refute_0_219]) ).
cnf(refute_0_221,plain,
multiply(inverse(inverse(multiply(multiply(multiply(X_14,identity),identity),X_35))),inverse(multiply(X_14,identity))) = X_35,
inference(subst,[],[refute_0_220:[bind(X_15,$fot(multiply(X_14,identity))),bind(X_33,$fot(X_35))]]) ).
cnf(refute_0_222,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) = X_14,
inference(subst,[],[refute_0_134:[bind(X_11,$fot(identity)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_223,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)),X_14) ),[0,0,1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_224,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_223]) ).
cnf(refute_0_225,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_222,refute_0_224]) ).
cnf(refute_0_226,plain,
inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(identity,inverse(X_14)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_227,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_228,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != inverse(double_divide(identity,double_divide(identity,inverse(X_14))))
| inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Y,$fot(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))))),bind(Z,$fot(multiply(double_divide(identity,inverse(X_14)),identity)))]]) ).
cnf(refute_0_229,plain,
( inverse(double_divide(identity,double_divide(identity,inverse(X_14)))) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),inverse(double_divide(identity,double_divide(identity,inverse(X_14))))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,inverse(X_14)))),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_232,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_233,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(inverse(identity),inverse(X_14)) = double_divide(inverse(identity),inverse(X_14)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),inverse(X_14)))]]) ).
cnf(refute_0_236,plain,
( double_divide(inverse(identity),inverse(X_14)) != double_divide(inverse(identity),inverse(X_14))
| inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_237,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(inverse(identity),inverse(X_14))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
double_divide(inverse(identity),inverse(X_14)) = double_divide(identity,inverse(X_14)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))]]) ).
cnf(refute_0_240,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) ),[1,1],$fot(double_divide(identity,inverse(X_14)))]]) ).
cnf(refute_0_241,plain,
( double_divide(inverse(identity),inverse(X_14)) != double_divide(identity,inverse(X_14))
| double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
double_divide(identity,double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_14)),double_divide(identity,inverse(X_14))) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))]]) ).
cnf(refute_0_244,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_245,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(inverse(identity),inverse(X_14))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_245]) ).
cnf(refute_0_247,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(inverse(identity),inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))))),bind(Y,$fot(double_divide(identity,double_divide(inverse(identity),inverse(X_14))))),bind(Z,$fot(double_divide(identity,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_248,plain,
( double_divide(identity,double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(inverse(identity),inverse(X_14)))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) = double_divide(identity,double_divide(identity,inverse(X_14))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) )],[refute_0_242,refute_0_248]) ).
cnf(refute_0_250,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))]]) ).
cnf(refute_0_251,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))
| double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(identity,inverse(X_14))))]]) ).
cnf(refute_0_252,plain,
( double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))) != double_divide(identity,double_divide(identity,inverse(X_14)))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),double_divide(identity,double_divide(identity,inverse(X_14)))) )],[refute_0_249,refute_0_252]) ).
cnf(refute_0_254,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)))]]) ).
cnf(refute_0_255,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)) )],[refute_0_234,refute_0_255]) ).
cnf(refute_0_257,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity))),bind(Z,$fot(multiply(double_divide(identity,inverse(X_14)),identity)))]]) ).
cnf(refute_0_258,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,inverse(X_14)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_14))),identity),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_230,refute_0_258]) ).
cnf(refute_0_260,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != multiply(double_divide(identity,inverse(X_14)),identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) ),[0],$fot(multiply(double_divide(identity,inverse(X_14)),identity))]]) ).
cnf(refute_0_261,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)) != X_14
| multiply(double_divide(identity,inverse(X_14)),identity) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = X_14,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(identity),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_225,refute_0_261]) ).
cnf(refute_0_263,plain,
double_divide(identity,inverse(X_14)) = multiply(X_14,identity),
inference(subst,[],[refute_0_217:[bind(X_15,$fot(X_14))]]) ).
cnf(refute_0_264,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = multiply(double_divide(identity,inverse(X_14)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(X_14)),identity))]]) ).
cnf(refute_0_265,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != multiply(double_divide(identity,inverse(X_14)),identity)
| double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(double_divide(identity,inverse(X_14)),identity)) ),[1,0],$fot(multiply(X_14,identity))]]) ).
cnf(refute_0_266,plain,
( double_divide(identity,inverse(X_14)) != multiply(X_14,identity)
| multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(double_divide(identity,inverse(X_14)),identity)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
multiply(double_divide(identity,inverse(X_14)),identity) = multiply(multiply(X_14,identity),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),multiply(X_14,identity)) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != X_14
| multiply(double_divide(identity,inverse(X_14)),identity) != multiply(multiply(X_14,identity),identity)
| multiply(multiply(X_14,identity),identity) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),X_14) ),[0],$fot(multiply(multiply(X_14,identity),identity))]]) ).
cnf(refute_0_269,plain,
( multiply(double_divide(identity,inverse(X_14)),identity) != X_14
| multiply(multiply(X_14,identity),identity) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),multiply(multiply(X_14,identity),identity)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(multiply(X_14,identity),identity) = X_14,
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_14)),identity),X_14) )],[refute_0_262,refute_0_269]) ).
cnf(refute_0_271,plain,
( multiply(multiply(X_14,identity),identity) != X_14
| multiply(inverse(inverse(multiply(multiply(multiply(X_14,identity),identity),X_35))),inverse(multiply(X_14,identity))) != X_35
| multiply(inverse(inverse(multiply(X_14,X_35))),inverse(multiply(X_14,identity))) = X_35 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(multiply(X_14,identity),identity),X_35))),inverse(multiply(X_14,identity))),X_35) ),[0,0,0,0,0],$fot(X_14)]]) ).
cnf(refute_0_272,plain,
( multiply(inverse(inverse(multiply(multiply(multiply(X_14,identity),identity),X_35))),inverse(multiply(X_14,identity))) != X_35
| multiply(inverse(inverse(multiply(X_14,X_35))),inverse(multiply(X_14,identity))) = X_35 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_14,identity),identity),X_14) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(inverse(inverse(multiply(X_14,X_35))),inverse(multiply(X_14,identity))) = X_35,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(multiply(X_14,identity),identity),X_35))),inverse(multiply(X_14,identity))),X_35) )],[refute_0_221,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(inverse(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))))),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = inverse(multiply(X_40,identity)),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(inverse(inverse(multiply(X_40,X_41))))),bind(X_35,$fot(inverse(multiply(X_40,identity))))]]) ).
cnf(refute_0_275,plain,
multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))) = X_41,
inference(subst,[],[refute_0_273:[bind(X_14,$fot(X_40)),bind(X_35,$fot(X_41))]]) ).
cnf(refute_0_276,plain,
( multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))) != X_41
| multiply(inverse(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))))),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) != inverse(multiply(X_40,identity))
| multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = inverse(multiply(X_40,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))))),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),inverse(multiply(X_40,identity))) ),[0,0,0,0],$fot(X_41)]]) ).
cnf(refute_0_277,plain,
( multiply(inverse(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))))),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) != inverse(multiply(X_40,identity))
| multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = inverse(multiply(X_40,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))),X_41) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = inverse(multiply(X_40,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),inverse(multiply(X_40,identity))))),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),inverse(multiply(X_40,identity))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(multiply(double_divide(X_41,X_40),identity),identity) = double_divide(X_41,X_40),
inference(subst,[],[refute_0_270:[bind(X_14,$fot(double_divide(X_41,X_40)))]]) ).
cnf(refute_0_280,plain,
double_divide(identity,inverse(double_divide(B,A))) = multiply(double_divide(B,A),identity),
inference(subst,[],[refute_0_217:[bind(X_15,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_281,plain,
( double_divide(identity,inverse(double_divide(B,A))) != multiply(double_divide(B,A),identity)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(identity,multiply(A,B)) = multiply(double_divide(B,A),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(double_divide(B,A))),multiply(double_divide(B,A),identity)) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_282,plain,
( double_divide(identity,inverse(double_divide(B,A))) != multiply(double_divide(B,A),identity)
| double_divide(identity,multiply(A,B)) = multiply(double_divide(B,A),identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_22,refute_0_281]) ).
cnf(refute_0_283,plain,
double_divide(identity,multiply(A,B)) = multiply(double_divide(B,A),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(double_divide(B,A))),multiply(double_divide(B,A),identity)) )],[refute_0_280,refute_0_282]) ).
cnf(refute_0_284,plain,
double_divide(identity,multiply(X_40,X_41)) = multiply(double_divide(X_41,X_40),identity),
inference(subst,[],[refute_0_283:[bind(A,$fot(X_40)),bind(B,$fot(X_41))]]) ).
cnf(refute_0_285,plain,
multiply(double_divide(identity,multiply(X_40,X_41)),identity) = multiply(double_divide(identity,multiply(X_40,X_41)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,multiply(X_40,X_41)),identity))]]) ).
cnf(refute_0_286,plain,
( multiply(double_divide(identity,multiply(X_40,X_41)),identity) != multiply(double_divide(identity,multiply(X_40,X_41)),identity)
| double_divide(identity,multiply(X_40,X_41)) != multiply(double_divide(X_41,X_40),identity)
| multiply(double_divide(identity,multiply(X_40,X_41)),identity) = multiply(multiply(double_divide(X_41,X_40),identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X_40,X_41)),identity),multiply(double_divide(identity,multiply(X_40,X_41)),identity)) ),[1,0],$fot(multiply(double_divide(X_41,X_40),identity))]]) ).
cnf(refute_0_287,plain,
( double_divide(identity,multiply(X_40,X_41)) != multiply(double_divide(X_41,X_40),identity)
| multiply(double_divide(identity,multiply(X_40,X_41)),identity) = multiply(multiply(double_divide(X_41,X_40),identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_40,X_41)),identity),multiply(double_divide(identity,multiply(X_40,X_41)),identity)) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(double_divide(identity,multiply(X_40,X_41)),identity) = multiply(multiply(double_divide(X_41,X_40),identity),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_40,X_41)),multiply(double_divide(X_41,X_40),identity)) )],[refute_0_284,refute_0_287]) ).
cnf(refute_0_289,plain,
( multiply(multiply(double_divide(X_41,X_40),identity),identity) != double_divide(X_41,X_40)
| multiply(double_divide(identity,multiply(X_40,X_41)),identity) != multiply(multiply(double_divide(X_41,X_40),identity),identity)
| multiply(double_divide(identity,multiply(X_40,X_41)),identity) = double_divide(X_41,X_40) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(double_divide(identity,multiply(X_40,X_41)),identity))),bind(Y,$fot(multiply(multiply(double_divide(X_41,X_40),identity),identity))),bind(Z,$fot(double_divide(X_41,X_40)))]]) ).
cnf(refute_0_290,plain,
( multiply(multiply(double_divide(X_41,X_40),identity),identity) != double_divide(X_41,X_40)
| multiply(double_divide(identity,multiply(X_40,X_41)),identity) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_40,X_41)),identity),multiply(multiply(double_divide(X_41,X_40),identity),identity)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
multiply(double_divide(identity,multiply(X_40,X_41)),identity) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_41,X_40),identity),identity),double_divide(X_41,X_40)) )],[refute_0_279,refute_0_290]) ).
cnf(refute_0_292,plain,
double_divide(identity,multiply(multiply(X_40,X_41),identity)) = multiply(double_divide(identity,multiply(X_40,X_41)),identity),
inference(subst,[],[refute_0_283:[bind(A,$fot(multiply(X_40,X_41))),bind(B,$fot(identity))]]) ).
cnf(refute_0_293,plain,
( multiply(double_divide(identity,multiply(X_40,X_41)),identity) != double_divide(X_41,X_40)
| double_divide(identity,multiply(multiply(X_40,X_41),identity)) != multiply(double_divide(identity,multiply(X_40,X_41)),identity)
| double_divide(identity,multiply(multiply(X_40,X_41),identity)) = double_divide(X_41,X_40) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(identity,multiply(multiply(X_40,X_41),identity)))),bind(Y,$fot(multiply(double_divide(identity,multiply(X_40,X_41)),identity))),bind(Z,$fot(double_divide(X_41,X_40)))]]) ).
cnf(refute_0_294,plain,
( multiply(double_divide(identity,multiply(X_40,X_41)),identity) != double_divide(X_41,X_40)
| double_divide(identity,multiply(multiply(X_40,X_41),identity)) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(multiply(X_40,X_41),identity)),multiply(double_divide(identity,multiply(X_40,X_41)),identity)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
double_divide(identity,multiply(multiply(X_40,X_41),identity)) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_40,X_41)),identity),double_divide(X_41,X_40)) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) = double_divide(identity,multiply(multiply(X_40,X_41),identity)),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(multiply(multiply(X_40,X_41),identity)))]]) ).
cnf(refute_0_297,plain,
( double_divide(identity,multiply(multiply(X_40,X_41),identity)) != double_divide(X_41,X_40)
| inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) != double_divide(identity,multiply(multiply(X_40,X_41),identity))
| inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) = double_divide(X_41,X_40) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))))),bind(Y,$fot(double_divide(identity,multiply(multiply(X_40,X_41),identity)))),bind(Z,$fot(double_divide(X_41,X_40)))]]) ).
cnf(refute_0_298,plain,
( double_divide(identity,multiply(multiply(X_40,X_41),identity)) != double_divide(X_41,X_40)
| inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))),double_divide(identity,multiply(multiply(X_40,X_41),identity))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(multiply(X_40,X_41),identity)),double_divide(X_41,X_40)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
inverse(inverse(inverse(inverse(inverse(X_20))))) = double_divide(identity,inverse(inverse(X_20))),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(inverse(inverse(X_20))))]]) ).
cnf(refute_0_301,plain,
inverse(inverse(inverse(X_20))) = double_divide(identity,X_20),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(X_20))]]) ).
cnf(refute_0_302,plain,
( inverse(inverse(inverse(X_20))) != double_divide(identity,X_20)
| inverse(inverse(inverse(inverse(inverse(X_20))))) != double_divide(identity,inverse(inverse(X_20)))
| inverse(inverse(double_divide(identity,X_20))) = double_divide(identity,inverse(inverse(X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_20))))),double_divide(identity,inverse(inverse(X_20)))) ),[0,0,0],$fot(double_divide(identity,X_20))]]) ).
cnf(refute_0_303,plain,
( inverse(inverse(inverse(inverse(inverse(X_20))))) != double_divide(identity,inverse(inverse(X_20)))
| inverse(inverse(double_divide(identity,X_20))) = double_divide(identity,inverse(inverse(X_20))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_20))),double_divide(identity,X_20)) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
inverse(inverse(double_divide(identity,X_20))) = double_divide(identity,inverse(inverse(X_20))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_20))))),double_divide(identity,inverse(inverse(X_20)))) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
inverse(double_divide(identity,X_20)) = multiply(X_20,identity),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_20)),bind(B,$fot(identity))]]) ).
cnf(refute_0_306,plain,
inverse(inverse(double_divide(identity,X_20))) = inverse(inverse(double_divide(identity,X_20))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,X_20))))]]) ).
cnf(refute_0_307,plain,
( inverse(double_divide(identity,X_20)) != multiply(X_20,identity)
| inverse(inverse(double_divide(identity,X_20))) != inverse(inverse(double_divide(identity,X_20)))
| inverse(inverse(double_divide(identity,X_20))) = inverse(multiply(X_20,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,X_20))),inverse(inverse(double_divide(identity,X_20)))) ),[1,0],$fot(multiply(X_20,identity))]]) ).
cnf(refute_0_308,plain,
( inverse(double_divide(identity,X_20)) != multiply(X_20,identity)
| inverse(inverse(double_divide(identity,X_20))) = inverse(multiply(X_20,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_20))),inverse(inverse(double_divide(identity,X_20)))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
inverse(inverse(double_divide(identity,X_20))) = inverse(multiply(X_20,identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_20)),multiply(X_20,identity)) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( inverse(inverse(double_divide(identity,X_20))) != double_divide(identity,inverse(inverse(X_20)))
| inverse(inverse(double_divide(identity,X_20))) != inverse(multiply(X_20,identity))
| inverse(multiply(X_20,identity)) = double_divide(identity,inverse(inverse(X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,X_20))),double_divide(identity,inverse(inverse(X_20)))) ),[0],$fot(inverse(multiply(X_20,identity)))]]) ).
cnf(refute_0_311,plain,
( inverse(inverse(double_divide(identity,X_20))) != double_divide(identity,inverse(inverse(X_20)))
| inverse(multiply(X_20,identity)) = double_divide(identity,inverse(inverse(X_20))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_20))),inverse(multiply(X_20,identity))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
double_divide(identity,inverse(inverse(X_20))) = multiply(inverse(X_20),identity),
inference(subst,[],[refute_0_217:[bind(X_15,$fot(inverse(X_20)))]]) ).
cnf(refute_0_313,plain,
( double_divide(identity,inverse(inverse(X_20))) != multiply(inverse(X_20),identity)
| inverse(multiply(X_20,identity)) != double_divide(identity,inverse(inverse(X_20)))
| inverse(multiply(X_20,identity)) = multiply(inverse(X_20),identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_20,identity)),double_divide(identity,inverse(inverse(X_20)))) ),[1],$fot(multiply(inverse(X_20),identity))]]) ).
cnf(refute_0_314,plain,
( inverse(multiply(X_20,identity)) != double_divide(identity,inverse(inverse(X_20)))
| inverse(multiply(X_20,identity)) = multiply(inverse(X_20),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(X_20))),multiply(inverse(X_20),identity)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( inverse(inverse(double_divide(identity,X_20))) != double_divide(identity,inverse(inverse(X_20)))
| inverse(multiply(X_20,identity)) = multiply(inverse(X_20),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_20,identity)),double_divide(identity,inverse(inverse(X_20)))) )],[refute_0_311,refute_0_314]) ).
cnf(refute_0_316,plain,
inverse(multiply(X_20,identity)) = multiply(inverse(X_20),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_20))),double_divide(identity,inverse(inverse(X_20)))) )],[refute_0_304,refute_0_315]) ).
cnf(refute_0_317,plain,
( inverse(multiply(X_20,identity)) != multiply(inverse(X_20),identity)
| multiply(inverse(X_20),identity) = inverse(multiply(X_20,identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(multiply(X_20,identity)))),bind(Y,$fot(multiply(inverse(X_20),identity)))]]) ).
cnf(refute_0_318,plain,
multiply(inverse(X_20),identity) = inverse(multiply(X_20,identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_20,identity)),multiply(inverse(X_20),identity)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(inverse(multiply(X_40,X_41)),identity) = inverse(multiply(multiply(X_40,X_41),identity)),
inference(subst,[],[refute_0_318:[bind(X_20,$fot(multiply(X_40,X_41)))]]) ).
cnf(refute_0_320,plain,
inverse(multiply(inverse(multiply(X_40,X_41)),identity)) = inverse(multiply(inverse(multiply(X_40,X_41)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(X_40,X_41)),identity)))]]) ).
cnf(refute_0_321,plain,
( multiply(inverse(multiply(X_40,X_41)),identity) != inverse(multiply(multiply(X_40,X_41),identity))
| inverse(multiply(inverse(multiply(X_40,X_41)),identity)) != inverse(multiply(inverse(multiply(X_40,X_41)),identity))
| inverse(multiply(inverse(multiply(X_40,X_41)),identity)) = inverse(inverse(multiply(multiply(X_40,X_41),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(X_40,X_41)),identity)),inverse(multiply(inverse(multiply(X_40,X_41)),identity))) ),[1,0],$fot(inverse(multiply(multiply(X_40,X_41),identity)))]]) ).
cnf(refute_0_322,plain,
( multiply(inverse(multiply(X_40,X_41)),identity) != inverse(multiply(multiply(X_40,X_41),identity))
| inverse(multiply(inverse(multiply(X_40,X_41)),identity)) = inverse(inverse(multiply(multiply(X_40,X_41),identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_40,X_41)),identity)),inverse(multiply(inverse(multiply(X_40,X_41)),identity))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
inverse(multiply(inverse(multiply(X_40,X_41)),identity)) = inverse(inverse(multiply(multiply(X_40,X_41),identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,X_41)),identity),inverse(multiply(multiply(X_40,X_41),identity))) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
multiply(inverse(inverse(multiply(X_40,X_41))),identity) = inverse(multiply(inverse(multiply(X_40,X_41)),identity)),
inference(subst,[],[refute_0_318:[bind(X_20,$fot(inverse(multiply(X_40,X_41))))]]) ).
cnf(refute_0_325,plain,
( multiply(inverse(inverse(multiply(X_40,X_41))),identity) != inverse(multiply(inverse(multiply(X_40,X_41)),identity))
| inverse(multiply(inverse(multiply(X_40,X_41)),identity)) != inverse(inverse(multiply(multiply(X_40,X_41),identity)))
| multiply(inverse(inverse(multiply(X_40,X_41))),identity) = inverse(inverse(multiply(multiply(X_40,X_41),identity))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),bind(Y,$fot(inverse(multiply(inverse(multiply(X_40,X_41)),identity)))),bind(Z,$fot(inverse(inverse(multiply(multiply(X_40,X_41),identity)))))]]) ).
cnf(refute_0_326,plain,
( inverse(multiply(inverse(multiply(X_40,X_41)),identity)) != inverse(inverse(multiply(multiply(X_40,X_41),identity)))
| multiply(inverse(inverse(multiply(X_40,X_41))),identity) = inverse(inverse(multiply(multiply(X_40,X_41),identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_40,X_41))),identity),inverse(multiply(inverse(multiply(X_40,X_41)),identity))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(inverse(inverse(multiply(X_40,X_41))),identity) = inverse(inverse(multiply(multiply(X_40,X_41),identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_40,X_41)),identity)),inverse(inverse(multiply(multiply(X_40,X_41),identity)))) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) = inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)))]]) ).
cnf(refute_0_329,plain,
( multiply(inverse(inverse(multiply(X_40,X_41))),identity) != inverse(inverse(multiply(multiply(X_40,X_41),identity)))
| inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) != inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))
| inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) = inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) ),[1,0],$fot(inverse(inverse(multiply(multiply(X_40,X_41),identity))))]]) ).
cnf(refute_0_330,plain,
( multiply(inverse(inverse(multiply(X_40,X_41))),identity) != inverse(inverse(multiply(multiply(X_40,X_41),identity)))
| inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) = inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) = inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_40,X_41))),identity),inverse(inverse(multiply(multiply(X_40,X_41),identity)))) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
( inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) != inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity))))
| inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) != double_divide(X_41,X_40)
| inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) = double_divide(X_41,X_40) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)))),bind(Y,$fot(inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))))),bind(Z,$fot(double_divide(X_41,X_40)))]]) ).
cnf(refute_0_333,plain,
( inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))) != double_divide(X_41,X_40)
| inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) = double_divide(X_41,X_40) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)),inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity))))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) = double_divide(X_41,X_40),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(multiply(X_40,X_41),identity)))),double_divide(X_41,X_40)) )],[refute_0_299,refute_0_333]) ).
cnf(refute_0_335,plain,
multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))))]]) ).
cnf(refute_0_336,plain,
( multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) != multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)))
| inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) != double_divide(X_41,X_40)
| multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)))) ),[1,1],$fot(double_divide(X_41,X_40))]]) ).
cnf(refute_0_337,plain,
( inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)) != double_divide(X_41,X_40)
| multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) = multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity)),double_divide(X_41,X_40)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) != multiply(inverse(inverse(X_41)),double_divide(X_41,X_40))
| multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) != inverse(multiply(X_40,identity))
| multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) = inverse(multiply(X_40,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),inverse(multiply(X_40,identity))) ),[0],$fot(multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)))]]) ).
cnf(refute_0_340,plain,
( multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))) != inverse(multiply(X_40,identity))
| multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) = inverse(multiply(X_40,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),multiply(inverse(inverse(X_41)),double_divide(X_41,X_40))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) = inverse(multiply(X_40,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),inverse(multiply(inverse(inverse(multiply(X_40,X_41))),identity))),inverse(multiply(X_40,identity))) )],[refute_0_278,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))))),X_10) = inverse(multiply(double_divide(identity,X_10),identity)),
inference(subst,[],[refute_0_174:[bind(X_12,$fot(inverse(multiply(double_divide(identity,X_10),identity))))]]) ).
cnf(refute_0_343,plain,
double_divide(double_divide(inverse(multiply(X_18,identity)),double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_134:[bind(X_11,$fot(multiply(X_18,identity))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_344,plain,
double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity)) = X_18,
inference(subst,[],[refute_0_59:[bind(X_16,$fot(X_18))]]) ).
cnf(refute_0_345,plain,
( double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity)) != X_18
| double_divide(double_divide(inverse(multiply(X_18,identity)),double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(X_18)]]) ).
cnf(refute_0_346,plain,
( double_divide(double_divide(inverse(multiply(X_18,identity)),double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity)),X_18) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),double_divide(double_divide(identity,multiply(X_18,identity)),inverse(identity))),inverse(identity)),identity) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
inverse(double_divide(inverse(multiply(X_18,identity)),X_18)) = multiply(X_18,inverse(multiply(X_18,identity))),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_18)),bind(B,$fot(inverse(multiply(X_18,identity))))]]) ).
cnf(refute_0_349,plain,
double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) = inverse(double_divide(inverse(multiply(X_18,identity)),X_18)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(inverse(multiply(X_18,identity)),X_18)))]]) ).
cnf(refute_0_350,plain,
( double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) != inverse(double_divide(inverse(multiply(X_18,identity)),X_18))
| inverse(double_divide(inverse(multiply(X_18,identity)),X_18)) != multiply(X_18,inverse(multiply(X_18,identity)))
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) = multiply(X_18,inverse(multiply(X_18,identity))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity))),bind(Y,$fot(inverse(double_divide(inverse(multiply(X_18,identity)),X_18)))),bind(Z,$fot(multiply(X_18,inverse(multiply(X_18,identity)))))]]) ).
cnf(refute_0_351,plain,
( inverse(double_divide(inverse(multiply(X_18,identity)),X_18)) != multiply(X_18,inverse(multiply(X_18,identity)))
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) = multiply(X_18,inverse(multiply(X_18,identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity),inverse(double_divide(inverse(multiply(X_18,identity)),X_18))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) = multiply(X_18,inverse(multiply(X_18,identity))),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(multiply(X_18,identity)),X_18)),multiply(X_18,inverse(multiply(X_18,identity)))) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)))]]) ).
cnf(refute_0_354,plain,
( double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) != double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)),double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_355,plain,
( inverse(identity) != identity
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)),double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_355]) ).
cnf(refute_0_357,plain,
( double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) != multiply(X_18,inverse(multiply(X_18,identity)))
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) != double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity)
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = multiply(X_18,inverse(multiply(X_18,identity))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity))),bind(Z,$fot(multiply(X_18,inverse(multiply(X_18,identity)))))]]) ).
cnf(refute_0_358,plain,
( double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity) != multiply(X_18,inverse(multiply(X_18,identity)))
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = multiply(X_18,inverse(multiply(X_18,identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)),double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) = multiply(X_18,inverse(multiply(X_18,identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),identity),multiply(X_18,inverse(multiply(X_18,identity)))) )],[refute_0_352,refute_0_358]) ).
cnf(refute_0_360,plain,
( double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) != multiply(X_18,inverse(multiply(X_18,identity)))
| double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) != identity
| multiply(X_18,inverse(multiply(X_18,identity))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)),identity) ),[0],$fot(multiply(X_18,inverse(multiply(X_18,identity))))]]) ).
cnf(refute_0_361,plain,
( double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)) != identity
| multiply(X_18,inverse(multiply(X_18,identity))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)),multiply(X_18,inverse(multiply(X_18,identity)))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(X_18,inverse(multiply(X_18,identity))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(multiply(X_18,identity)),X_18),inverse(identity)),identity) )],[refute_0_347,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))) = identity,
inference(subst,[],[refute_0_362:[bind(X_18,$fot(double_divide(identity,X_10)))]]) ).
cnf(refute_0_364,plain,
( multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))) != identity
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))))),X_10) != inverse(multiply(double_divide(identity,X_10),identity))
| multiply(inverse(inverse(identity)),X_10) = inverse(multiply(double_divide(identity,X_10),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))))),X_10),inverse(multiply(double_divide(identity,X_10),identity))) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_365,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))))),X_10) != inverse(multiply(double_divide(identity,X_10),identity))
| multiply(inverse(inverse(identity)),X_10) = inverse(multiply(double_divide(identity,X_10),identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))),identity) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(inverse(inverse(identity)),X_10) = inverse(multiply(double_divide(identity,X_10),identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),inverse(multiply(double_divide(identity,X_10),identity))))),X_10),inverse(multiply(double_divide(identity,X_10),identity))) )],[refute_0_342,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(identity,X_10) = inverse(inverse(X_10)),
inference(subst,[],[refute_0_203:[bind(X_3,$fot(X_10))]]) ).
cnf(refute_0_368,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_369,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_370,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_370]) ).
cnf(refute_0_372,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_373,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_373]) ).
cnf(refute_0_375,plain,
multiply(inverse(inverse(identity)),X_10) = multiply(inverse(inverse(identity)),X_10),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(identity)),X_10))]]) ).
cnf(refute_0_376,plain,
( multiply(inverse(inverse(identity)),X_10) != multiply(inverse(inverse(identity)),X_10)
| inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),X_10) = multiply(identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),X_10),multiply(inverse(inverse(identity)),X_10)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_377,plain,
( inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),X_10) = multiply(identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_10),multiply(inverse(inverse(identity)),X_10)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
multiply(inverse(inverse(identity)),X_10) = multiply(identity,X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( multiply(identity,X_10) != inverse(inverse(X_10))
| multiply(inverse(inverse(identity)),X_10) != multiply(identity,X_10)
| multiply(inverse(inverse(identity)),X_10) = inverse(inverse(X_10)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(inverse(inverse(identity)),X_10))),bind(Y,$fot(multiply(identity,X_10))),bind(Z,$fot(inverse(inverse(X_10))))]]) ).
cnf(refute_0_380,plain,
( multiply(identity,X_10) != inverse(inverse(X_10))
| multiply(inverse(inverse(identity)),X_10) = inverse(inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_10),multiply(identity,X_10)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(inverse(inverse(identity)),X_10) = inverse(inverse(X_10)),
inference(resolve,[$cnf( $equal(multiply(identity,X_10),inverse(inverse(X_10))) )],[refute_0_367,refute_0_380]) ).
cnf(refute_0_382,plain,
( multiply(inverse(inverse(identity)),X_10) != inverse(multiply(double_divide(identity,X_10),identity))
| multiply(inverse(inverse(identity)),X_10) != inverse(inverse(X_10))
| inverse(inverse(X_10)) = inverse(multiply(double_divide(identity,X_10),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),X_10),inverse(multiply(double_divide(identity,X_10),identity))) ),[0],$fot(inverse(inverse(X_10)))]]) ).
cnf(refute_0_383,plain,
( multiply(inverse(inverse(identity)),X_10) != inverse(multiply(double_divide(identity,X_10),identity))
| inverse(inverse(X_10)) = inverse(multiply(double_divide(identity,X_10),identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_10),inverse(inverse(X_10))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),
inference(subst,[],[refute_0_36:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))))]]) ).
cnf(refute_0_385,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)) = X_17,
inference(subst,[],[refute_0_36:[bind(X_11,$fot(X_16)),bind(X_12,$fot(X_17))]]) ).
cnf(refute_0_386,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)) != X_17
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) ),
introduced(tautology,[equality,[$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_387,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( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)),X_17) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),inverse(identity)))),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) )],[refute_0_384,refute_0_387]) ).
cnf(refute_0_389,plain,
double_divide(double_divide(identity,identity),X_17) = double_divide(double_divide(identity,identity),X_17),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),X_17))]]) ).
cnf(refute_0_390,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_391,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),X_17) = double_divide(inverse(identity),X_17) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),X_17),double_divide(double_divide(identity,identity),X_17)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
double_divide(double_divide(identity,identity),X_17) = double_divide(inverse(identity),X_17),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_391]) ).
cnf(refute_0_393,plain,
double_divide(identity,double_divide(double_divide(identity,identity),X_17)) = double_divide(identity,double_divide(double_divide(identity,identity),X_17)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(identity,identity),X_17)))]]) ).
cnf(refute_0_394,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_395,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( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),double_divide(identity,double_divide(double_divide(identity,identity),X_17))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
double_divide(identity,double_divide(double_divide(identity,identity),X_17)) = double_divide(identity,double_divide(inverse(identity),X_17)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),X_17),double_divide(inverse(identity),X_17)) )],[refute_0_392,refute_0_395]) ).
cnf(refute_0_397,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)))]]) ).
cnf(refute_0_398,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_399,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( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),double_divide(identity,double_divide(inverse(identity),X_17))) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) != double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) ),
introduced(tautology,[equality,[$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_402,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( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) = double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_17)),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) )],[refute_0_388,refute_0_402]) ).
cnf(refute_0_404,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) != double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))
| double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)))),bind(Y,$fot(double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))))]]) ).
cnf(refute_0_405,plain,
double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_17)),inverse(identity)),double_divide(identity,double_divide(double_divide(identity,X_16),double_divide(X_17,inverse(X_16))))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))) = double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),
inference(subst,[],[refute_0_405:[bind(X_16,$fot(X_11)),bind(X_17,$fot(X_12))]]) ).
cnf(refute_0_407,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),
introduced(tautology,[refl,[$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_408,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_409,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( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) = double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)) != double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$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_412,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( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X_11),double_divide(X_12,inverse(X_11)))),inverse(identity)),X_12) )],[refute_0_36,refute_0_412]) ).
cnf(refute_0_414,plain,
double_divide(multiply(double_divide(identity,X_12),identity),identity) = inverse(multiply(double_divide(identity,X_12),identity)),
inference(subst,[],[refute_0_4:[bind(A,$fot(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_415,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,[$fot(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)))]]) ).
cnf(refute_0_416,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))
| inverse(identity) != identity
| double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity) ),
introduced(tautology,[equality,[$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_417,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( $equal(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_417]) ).
cnf(refute_0_419,plain,
inverse(double_divide(identity,double_divide(identity,X_12))) = multiply(double_divide(identity,X_12),identity),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(identity,X_12))),bind(B,$fot(identity))]]) ).
cnf(refute_0_420,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),identity) = inverse(double_divide(identity,double_divide(identity,X_12))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(identity,X_12))))]]) ).
cnf(refute_0_421,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_26:[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,$fot(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_422,plain,
( inverse(double_divide(identity,double_divide(identity,X_12))) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(identity,double_divide(identity,X_12)),identity) = multiply(double_divide(identity,X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),identity),inverse(double_divide(identity,double_divide(identity,X_12)))) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),identity) = multiply(double_divide(identity,X_12),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(identity,X_12))),multiply(double_divide(identity,X_12),identity)) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)))]]) ).
cnf(refute_0_425,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_426,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( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_426]) ).
cnf(refute_0_428,plain,
double_divide(inverse(identity),X_12) = double_divide(inverse(identity),X_12),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),X_12))]]) ).
cnf(refute_0_429,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_430,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),X_12) = double_divide(identity,X_12) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_12),double_divide(inverse(identity),X_12)) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
double_divide(inverse(identity),X_12) = double_divide(identity,X_12),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_430]) ).
cnf(refute_0_432,plain,
double_divide(identity,double_divide(inverse(identity),X_12)) = double_divide(identity,double_divide(inverse(identity),X_12)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(identity),X_12)))]]) ).
cnf(refute_0_433,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_434,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( $equal(double_divide(identity,double_divide(inverse(identity),X_12)),double_divide(identity,double_divide(inverse(identity),X_12))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
double_divide(identity,double_divide(inverse(identity),X_12)) = double_divide(identity,double_divide(identity,X_12)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),X_12),double_divide(identity,X_12)) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))]]) ).
cnf(refute_0_437,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_438,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( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),X_12)),double_divide(identity,double_divide(identity,X_12))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$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_441,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( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,X_12)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),identity)) )],[refute_0_427,refute_0_441]) ).
cnf(refute_0_443,plain,
( double_divide(double_divide(identity,double_divide(identity,X_12)),identity) != multiply(double_divide(identity,X_12),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,X_12)),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = multiply(double_divide(identity,X_12),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$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_444,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( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,X_12)),identity)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = multiply(double_divide(identity,X_12),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,X_12)),identity),multiply(double_divide(identity,X_12),identity)) )],[refute_0_423,refute_0_444]) ).
cnf(refute_0_446,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)))]]) ).
cnf(refute_0_447,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_448,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( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),multiply(double_divide(identity,X_12),identity)) )],[refute_0_445,refute_0_448]) ).
cnf(refute_0_450,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),identity)
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$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_451,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( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = double_divide(multiply(double_divide(identity,X_12),identity),identity),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_12),identity),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),identity)) )],[refute_0_418,refute_0_451]) ).
cnf(refute_0_453,plain,
( double_divide(multiply(double_divide(identity,X_12),identity),identity) != inverse(multiply(double_divide(identity,X_12),identity))
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != double_divide(multiply(double_divide(identity,X_12),identity),identity)
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = inverse(multiply(double_divide(identity,X_12),identity)) ),
inference(subst,[],[refute_0_26:[bind(X,$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_454,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( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),double_divide(multiply(double_divide(identity,X_12),identity),identity)) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) = inverse(multiply(double_divide(identity,X_12),identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(identity,X_12),identity),identity),inverse(multiply(double_divide(identity,X_12),identity))) )],[refute_0_414,refute_0_454]) ).
cnf(refute_0_456,plain,
( double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != X_12
| double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)) != inverse(multiply(double_divide(identity,X_12),identity))
| inverse(multiply(double_divide(identity,X_12),identity)) = X_12 ),
introduced(tautology,[equality,[$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_457,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( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),inverse(multiply(double_divide(identity,X_12),identity))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
inverse(multiply(double_divide(identity,X_12),identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),inverse(identity)),X_12) )],[refute_0_413,refute_0_457]) ).
cnf(refute_0_459,plain,
inverse(multiply(double_divide(identity,X_10),identity)) = X_10,
inference(subst,[],[refute_0_458:[bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_460,plain,
( inverse(multiply(double_divide(identity,X_10),identity)) != X_10
| inverse(inverse(X_10)) != inverse(multiply(double_divide(identity,X_10),identity))
| inverse(inverse(X_10)) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_10)),inverse(multiply(double_divide(identity,X_10),identity))) ),[1],$fot(X_10)]]) ).
cnf(refute_0_461,plain,
( inverse(inverse(X_10)) != inverse(multiply(double_divide(identity,X_10),identity))
| inverse(inverse(X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_10),identity)),X_10) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
( multiply(inverse(inverse(identity)),X_10) != inverse(multiply(double_divide(identity,X_10),identity))
| inverse(inverse(X_10)) = X_10 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),inverse(multiply(double_divide(identity,X_10),identity))) )],[refute_0_383,refute_0_461]) ).
cnf(refute_0_463,plain,
inverse(inverse(X_10)) = X_10,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),X_10),inverse(multiply(double_divide(identity,X_10),identity))) )],[refute_0_366,refute_0_462]) ).
cnf(refute_0_464,plain,
inverse(inverse(X_41)) = X_41,
inference(subst,[],[refute_0_463:[bind(X_10,$fot(X_41))]]) ).
cnf(refute_0_465,plain,
multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) = multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)))]]) ).
cnf(refute_0_466,plain,
( multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) != multiply(inverse(inverse(X_41)),double_divide(X_41,X_40))
| inverse(inverse(X_41)) != X_41
| multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) = multiply(X_41,double_divide(X_41,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)),multiply(inverse(inverse(X_41)),double_divide(X_41,X_40))) ),[1,0],$fot(X_41)]]) ).
cnf(refute_0_467,plain,
( inverse(inverse(X_41)) != X_41
| multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) = multiply(X_41,double_divide(X_41,X_40)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)),multiply(inverse(inverse(X_41)),double_divide(X_41,X_40))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) = multiply(X_41,double_divide(X_41,X_40)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_41)),X_41) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
( multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) != multiply(X_41,double_divide(X_41,X_40))
| multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) != inverse(multiply(X_40,identity))
| multiply(X_41,double_divide(X_41,X_40)) = inverse(multiply(X_40,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)),inverse(multiply(X_40,identity))) ),[0],$fot(multiply(X_41,double_divide(X_41,X_40)))]]) ).
cnf(refute_0_470,plain,
( multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) != inverse(multiply(X_40,identity))
| multiply(X_41,double_divide(X_41,X_40)) = inverse(multiply(X_40,identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)),multiply(X_41,double_divide(X_41,X_40))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(inverse(inverse(multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))))),inverse(X_15)) = inverse(multiply(multiply(X_15,identity),identity)),
inference(subst,[],[refute_0_220:[bind(X_33,$fot(inverse(multiply(multiply(X_15,identity),identity))))]]) ).
cnf(refute_0_472,plain,
multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))) = identity,
inference(subst,[],[refute_0_362:[bind(X_18,$fot(multiply(X_15,identity)))]]) ).
cnf(refute_0_473,plain,
( multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))) != identity
| multiply(inverse(inverse(multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))))),inverse(X_15)) != inverse(multiply(multiply(X_15,identity),identity))
| multiply(inverse(inverse(identity)),inverse(X_15)) = inverse(multiply(multiply(X_15,identity),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))))),inverse(X_15)),inverse(multiply(multiply(X_15,identity),identity))) ),[0,0,0,0],$fot(identity)]]) ).
cnf(refute_0_474,plain,
( multiply(inverse(inverse(multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))))),inverse(X_15)) != inverse(multiply(multiply(X_15,identity),identity))
| multiply(inverse(inverse(identity)),inverse(X_15)) = inverse(multiply(multiply(X_15,identity),identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))),identity) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
multiply(inverse(inverse(identity)),inverse(X_15)) = inverse(multiply(multiply(X_15,identity),identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X_15,identity),inverse(multiply(multiply(X_15,identity),identity))))),inverse(X_15)),inverse(multiply(multiply(X_15,identity),identity))) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
inverse(inverse(inverse(X_15))) = double_divide(identity,X_15),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_477,plain,
multiply(identity,inverse(X_15)) = inverse(inverse(inverse(X_15))),
inference(subst,[],[refute_0_203:[bind(X_3,$fot(inverse(X_15)))]]) ).
cnf(refute_0_478,plain,
( multiply(identity,inverse(X_15)) != inverse(inverse(inverse(X_15)))
| inverse(inverse(inverse(X_15))) != double_divide(identity,X_15)
| multiply(identity,inverse(X_15)) = double_divide(identity,X_15) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(identity,inverse(X_15)))),bind(Y,$fot(inverse(inverse(inverse(X_15))))),bind(Z,$fot(double_divide(identity,X_15)))]]) ).
cnf(refute_0_479,plain,
( inverse(inverse(inverse(X_15))) != double_divide(identity,X_15)
| multiply(identity,inverse(X_15)) = double_divide(identity,X_15) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_15)),inverse(inverse(inverse(X_15)))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(identity,inverse(X_15)) = double_divide(identity,X_15),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_15))),double_divide(identity,X_15)) )],[refute_0_476,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(inverse(inverse(identity)),inverse(X_15)) = multiply(inverse(inverse(identity)),inverse(X_15)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(identity)),inverse(X_15)))]]) ).
cnf(refute_0_482,plain,
( multiply(inverse(inverse(identity)),inverse(X_15)) != multiply(inverse(inverse(identity)),inverse(X_15))
| inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),inverse(X_15)) = multiply(identity,inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(X_15)),multiply(inverse(inverse(identity)),inverse(X_15))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_483,plain,
( inverse(inverse(identity)) != identity
| multiply(inverse(inverse(identity)),inverse(X_15)) = multiply(identity,inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(X_15)),multiply(inverse(inverse(identity)),inverse(X_15))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(inverse(inverse(identity)),inverse(X_15)) = multiply(identity,inverse(X_15)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_374,refute_0_483]) ).
cnf(refute_0_485,plain,
( multiply(identity,inverse(X_15)) != double_divide(identity,X_15)
| multiply(inverse(inverse(identity)),inverse(X_15)) != multiply(identity,inverse(X_15))
| multiply(inverse(inverse(identity)),inverse(X_15)) = double_divide(identity,X_15) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(inverse(inverse(identity)),inverse(X_15)))),bind(Y,$fot(multiply(identity,inverse(X_15)))),bind(Z,$fot(double_divide(identity,X_15)))]]) ).
cnf(refute_0_486,plain,
( multiply(identity,inverse(X_15)) != double_divide(identity,X_15)
| multiply(inverse(inverse(identity)),inverse(X_15)) = double_divide(identity,X_15) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(X_15)),multiply(identity,inverse(X_15))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
multiply(inverse(inverse(identity)),inverse(X_15)) = double_divide(identity,X_15),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_15)),double_divide(identity,X_15)) )],[refute_0_480,refute_0_486]) ).
cnf(refute_0_488,plain,
( multiply(inverse(inverse(identity)),inverse(X_15)) != double_divide(identity,X_15)
| multiply(inverse(inverse(identity)),inverse(X_15)) != inverse(multiply(multiply(X_15,identity),identity))
| double_divide(identity,X_15) = inverse(multiply(multiply(X_15,identity),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(X_15)),inverse(multiply(multiply(X_15,identity),identity))) ),[0],$fot(double_divide(identity,X_15))]]) ).
cnf(refute_0_489,plain,
( multiply(inverse(inverse(identity)),inverse(X_15)) != inverse(multiply(multiply(X_15,identity),identity))
| double_divide(identity,X_15) = inverse(multiply(multiply(X_15,identity),identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(X_15)),double_divide(identity,X_15)) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
multiply(multiply(X_15,identity),identity) = X_15,
inference(subst,[],[refute_0_270:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_491,plain,
inverse(multiply(multiply(X_15,identity),identity)) = inverse(multiply(multiply(X_15,identity),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_15,identity),identity)))]]) ).
cnf(refute_0_492,plain,
( multiply(multiply(X_15,identity),identity) != X_15
| inverse(multiply(multiply(X_15,identity),identity)) != inverse(multiply(multiply(X_15,identity),identity))
| inverse(multiply(multiply(X_15,identity),identity)) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_15,identity),identity)),inverse(multiply(multiply(X_15,identity),identity))) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_493,plain,
( multiply(multiply(X_15,identity),identity) != X_15
| inverse(multiply(multiply(X_15,identity),identity)) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_15,identity),identity)),inverse(multiply(multiply(X_15,identity),identity))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
inverse(multiply(multiply(X_15,identity),identity)) = inverse(X_15),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,identity),identity),X_15) )],[refute_0_490,refute_0_493]) ).
cnf(refute_0_495,plain,
( double_divide(identity,X_15) != inverse(multiply(multiply(X_15,identity),identity))
| inverse(multiply(multiply(X_15,identity),identity)) != inverse(X_15)
| double_divide(identity,X_15) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(identity,X_15),inverse(X_15)) ),[0],$fot(inverse(multiply(multiply(X_15,identity),identity)))]]) ).
cnf(refute_0_496,plain,
( double_divide(identity,X_15) != inverse(multiply(multiply(X_15,identity),identity))
| double_divide(identity,X_15) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_15,identity),identity)),inverse(X_15)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
( multiply(inverse(inverse(identity)),inverse(X_15)) != inverse(multiply(multiply(X_15,identity),identity))
| double_divide(identity,X_15) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(double_divide(identity,X_15),inverse(multiply(multiply(X_15,identity),identity))) )],[refute_0_489,refute_0_496]) ).
cnf(refute_0_498,plain,
double_divide(identity,X_15) = inverse(X_15),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),inverse(X_15)),inverse(multiply(multiply(X_15,identity),identity))) )],[refute_0_475,refute_0_497]) ).
cnf(refute_0_499,plain,
double_divide(identity,X_40) = inverse(X_40),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(X_40))]]) ).
cnf(refute_0_500,plain,
double_divide(identity,multiply(A,B)) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(multiply(A,B)))]]) ).
cnf(refute_0_501,plain,
( double_divide(identity,multiply(A,B)) != multiply(double_divide(B,A),identity)
| double_divide(identity,multiply(A,B)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = multiply(double_divide(B,A),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(A,B)),multiply(double_divide(B,A),identity)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_502,plain,
( double_divide(identity,multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = multiply(double_divide(B,A),identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(A,B)),inverse(multiply(A,B))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
inverse(inverse(multiply(X_12,identity))) = multiply(X_12,identity),
inference(subst,[],[refute_0_463:[bind(X_10,$fot(multiply(X_12,identity)))]]) ).
cnf(refute_0_504,plain,
multiply(inverse(X_12),identity) = inverse(multiply(X_12,identity)),
inference(subst,[],[refute_0_318:[bind(X_20,$fot(X_12))]]) ).
cnf(refute_0_505,plain,
double_divide(identity,X_12) = inverse(X_12),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(X_12))]]) ).
cnf(refute_0_506,plain,
multiply(double_divide(identity,X_12),identity) = multiply(double_divide(identity,X_12),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_12),identity))]]) ).
cnf(refute_0_507,plain,
( multiply(double_divide(identity,X_12),identity) != multiply(double_divide(identity,X_12),identity)
| double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),identity) = multiply(inverse(X_12),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),multiply(double_divide(identity,X_12),identity)) ),[1,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_508,plain,
( double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),identity) = multiply(inverse(X_12),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),multiply(double_divide(identity,X_12),identity)) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
multiply(double_divide(identity,X_12),identity) = multiply(inverse(X_12),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,X_12),inverse(X_12)) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
( multiply(double_divide(identity,X_12),identity) != multiply(inverse(X_12),identity)
| multiply(inverse(X_12),identity) != inverse(multiply(X_12,identity))
| multiply(double_divide(identity,X_12),identity) = inverse(multiply(X_12,identity)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(double_divide(identity,X_12),identity))),bind(Y,$fot(multiply(inverse(X_12),identity))),bind(Z,$fot(inverse(multiply(X_12,identity))))]]) ).
cnf(refute_0_511,plain,
( multiply(inverse(X_12),identity) != inverse(multiply(X_12,identity))
| multiply(double_divide(identity,X_12),identity) = inverse(multiply(X_12,identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),multiply(inverse(X_12),identity)) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(double_divide(identity,X_12),identity) = inverse(multiply(X_12,identity)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_12),identity),inverse(multiply(X_12,identity))) )],[refute_0_504,refute_0_511]) ).
cnf(refute_0_513,plain,
inverse(multiply(double_divide(identity,X_12),identity)) = inverse(multiply(double_divide(identity,X_12),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(identity,X_12),identity)))]]) ).
cnf(refute_0_514,plain,
( multiply(double_divide(identity,X_12),identity) != inverse(multiply(X_12,identity))
| inverse(multiply(double_divide(identity,X_12),identity)) != inverse(multiply(double_divide(identity,X_12),identity))
| inverse(multiply(double_divide(identity,X_12),identity)) = inverse(inverse(multiply(X_12,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(identity,X_12),identity)),inverse(multiply(double_divide(identity,X_12),identity))) ),[1,0],$fot(inverse(multiply(X_12,identity)))]]) ).
cnf(refute_0_515,plain,
( multiply(double_divide(identity,X_12),identity) != inverse(multiply(X_12,identity))
| inverse(multiply(double_divide(identity,X_12),identity)) = inverse(inverse(multiply(X_12,identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_12),identity)),inverse(multiply(double_divide(identity,X_12),identity))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
inverse(multiply(double_divide(identity,X_12),identity)) = inverse(inverse(multiply(X_12,identity))),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),inverse(multiply(X_12,identity))) )],[refute_0_512,refute_0_515]) ).
cnf(refute_0_517,plain,
( inverse(multiply(double_divide(identity,X_12),identity)) != inverse(inverse(multiply(X_12,identity)))
| inverse(inverse(multiply(X_12,identity))) != multiply(X_12,identity)
| inverse(multiply(double_divide(identity,X_12),identity)) = multiply(X_12,identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(multiply(double_divide(identity,X_12),identity)))),bind(Y,$fot(inverse(inverse(multiply(X_12,identity))))),bind(Z,$fot(multiply(X_12,identity)))]]) ).
cnf(refute_0_518,plain,
( inverse(inverse(multiply(X_12,identity))) != multiply(X_12,identity)
| inverse(multiply(double_divide(identity,X_12),identity)) = multiply(X_12,identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_12),identity)),inverse(inverse(multiply(X_12,identity)))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
inverse(multiply(double_divide(identity,X_12),identity)) = multiply(X_12,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_12,identity))),multiply(X_12,identity)) )],[refute_0_503,refute_0_518]) ).
cnf(refute_0_520,plain,
( inverse(multiply(double_divide(identity,X_12),identity)) != X_12
| inverse(multiply(double_divide(identity,X_12),identity)) != multiply(X_12,identity)
| multiply(X_12,identity) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(identity,X_12),identity)),X_12) ),[0],$fot(multiply(X_12,identity))]]) ).
cnf(refute_0_521,plain,
( inverse(multiply(double_divide(identity,X_12),identity)) != X_12
| multiply(X_12,identity) = X_12 ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_12),identity)),multiply(X_12,identity)) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(X_12,identity) = X_12,
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(identity,X_12),identity)),X_12) )],[refute_0_458,refute_0_521]) ).
cnf(refute_0_523,plain,
multiply(double_divide(B,A),identity) = double_divide(B,A),
inference(subst,[],[refute_0_522:[bind(X_12,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_524,plain,
( multiply(double_divide(B,A),identity) != double_divide(B,A)
| inverse(multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(A,B)),multiply(double_divide(B,A),identity)) ),[1],$fot(double_divide(B,A))]]) ).
cnf(refute_0_525,plain,
( inverse(multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),identity),double_divide(B,A)) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
( double_divide(identity,multiply(A,B)) != multiply(double_divide(B,A),identity)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(multiply(A,B)),multiply(double_divide(B,A),identity)) )],[refute_0_502,refute_0_525]) ).
cnf(refute_0_527,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(A,B)),multiply(double_divide(B,A),identity)) )],[refute_0_283,refute_0_526]) ).
cnf(refute_0_528,plain,
inverse(multiply(X_40,identity)) = double_divide(identity,X_40),
inference(subst,[],[refute_0_527:[bind(A,$fot(X_40)),bind(B,$fot(identity))]]) ).
cnf(refute_0_529,plain,
( double_divide(identity,X_40) != inverse(X_40)
| inverse(multiply(X_40,identity)) != double_divide(identity,X_40)
| inverse(multiply(X_40,identity)) = inverse(X_40) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(multiply(X_40,identity)))),bind(Y,$fot(double_divide(identity,X_40))),bind(Z,$fot(inverse(X_40)))]]) ).
cnf(refute_0_530,plain,
( double_divide(identity,X_40) != inverse(X_40)
| inverse(multiply(X_40,identity)) = inverse(X_40) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_40,identity)),double_divide(identity,X_40)) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
inverse(multiply(X_40,identity)) = inverse(X_40),
inference(resolve,[$cnf( $equal(double_divide(identity,X_40),inverse(X_40)) )],[refute_0_499,refute_0_530]) ).
cnf(refute_0_532,plain,
( multiply(X_41,double_divide(X_41,X_40)) != inverse(multiply(X_40,identity))
| inverse(multiply(X_40,identity)) != inverse(X_40)
| multiply(X_41,double_divide(X_41,X_40)) = inverse(X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_41,double_divide(X_41,X_40)),inverse(X_40)) ),[0],$fot(inverse(multiply(X_40,identity)))]]) ).
cnf(refute_0_533,plain,
( multiply(X_41,double_divide(X_41,X_40)) != inverse(multiply(X_40,identity))
| multiply(X_41,double_divide(X_41,X_40)) = inverse(X_40) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_40,identity)),inverse(X_40)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
( multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)) != inverse(multiply(X_40,identity))
| multiply(X_41,double_divide(X_41,X_40)) = inverse(X_40) ),
inference(resolve,[$cnf( $equal(multiply(X_41,double_divide(X_41,X_40)),inverse(multiply(X_40,identity))) )],[refute_0_470,refute_0_533]) ).
cnf(refute_0_535,plain,
multiply(X_41,double_divide(X_41,X_40)) = inverse(X_40),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_41)),double_divide(X_41,X_40)),inverse(multiply(X_40,identity))) )],[refute_0_341,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(inverse(X_65),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))) = inverse(double_divide(inverse(X_65),inverse(X_66))),
inference(subst,[],[refute_0_535:[bind(X_40,$fot(double_divide(inverse(X_65),inverse(X_66)))),bind(X_41,$fot(inverse(X_65)))]]) ).
cnf(refute_0_537,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))),inverse(identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(subst,[],[refute_0_36:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))))]]) ).
cnf(refute_0_538,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))),inverse(identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) != X_12
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))),inverse(identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) ),[0,0,1,1],$fot(X_12)]]) ).
cnf(refute_0_539,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))),inverse(identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),X_12) )],[refute_0_134,refute_0_538]) ).
cnf(refute_0_540,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))),inverse(identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_537,refute_0_539]) ).
cnf(refute_0_541,plain,
double_divide(double_divide(identity,identity),X_12) = double_divide(double_divide(identity,identity),X_12),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),X_12))]]) ).
cnf(refute_0_542,plain,
( double_divide(double_divide(identity,identity),X_12) != double_divide(double_divide(identity,identity),X_12)
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),X_12) = double_divide(inverse(identity),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),X_12),double_divide(double_divide(identity,identity),X_12)) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_543,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),X_12) = double_divide(inverse(identity),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),X_12),double_divide(double_divide(identity,identity),X_12)) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
double_divide(double_divide(identity,identity),X_12) = double_divide(inverse(identity),X_12),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_543]) ).
cnf(refute_0_545,plain,
double_divide(identity,double_divide(double_divide(identity,identity),X_12)) = double_divide(identity,double_divide(double_divide(identity,identity),X_12)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(identity,identity),X_12)))]]) ).
cnf(refute_0_546,plain,
( double_divide(double_divide(identity,identity),X_12) != double_divide(inverse(identity),X_12)
| double_divide(identity,double_divide(double_divide(identity,identity),X_12)) != double_divide(identity,double_divide(double_divide(identity,identity),X_12))
| double_divide(identity,double_divide(double_divide(identity,identity),X_12)) = double_divide(identity,double_divide(inverse(identity),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),double_divide(identity,double_divide(double_divide(identity,identity),X_12))) ),[1,1],$fot(double_divide(inverse(identity),X_12))]]) ).
cnf(refute_0_547,plain,
( double_divide(double_divide(identity,identity),X_12) != double_divide(inverse(identity),X_12)
| double_divide(identity,double_divide(double_divide(identity,identity),X_12)) = double_divide(identity,double_divide(inverse(identity),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),double_divide(identity,double_divide(double_divide(identity,identity),X_12))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
double_divide(identity,double_divide(double_divide(identity,identity),X_12)) = double_divide(identity,double_divide(inverse(identity),X_12)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),X_12),double_divide(inverse(identity),X_12)) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)))]]) ).
cnf(refute_0_550,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity))
| double_divide(identity,double_divide(double_divide(identity,identity),X_12)) != double_divide(identity,double_divide(inverse(identity),X_12))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(inverse(identity),X_12)))]]) ).
cnf(refute_0_551,plain,
( double_divide(identity,double_divide(double_divide(identity,identity),X_12)) != double_divide(identity,double_divide(inverse(identity),X_12))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),double_divide(identity,double_divide(inverse(identity),X_12))) )],[refute_0_548,refute_0_551]) ).
cnf(refute_0_553,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))
| double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) ),[0],$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))]]) ).
cnf(refute_0_554,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,identity),X_12)),inverse(identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_540,refute_0_554]) ).
cnf(refute_0_556,plain,
inverse(inverse(inverse(multiply(X_12,identity)))) = double_divide(identity,multiply(X_12,identity)),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(multiply(X_12,identity)))]]) ).
cnf(refute_0_557,plain,
double_divide(inverse(inverse(multiply(X_12,identity))),identity) = inverse(inverse(inverse(multiply(X_12,identity)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(multiply(X_12,identity)))))]]) ).
cnf(refute_0_558,plain,
( double_divide(inverse(inverse(multiply(X_12,identity))),identity) != inverse(inverse(inverse(multiply(X_12,identity))))
| inverse(inverse(inverse(multiply(X_12,identity)))) != double_divide(identity,multiply(X_12,identity))
| double_divide(inverse(inverse(multiply(X_12,identity))),identity) = double_divide(identity,multiply(X_12,identity)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(inverse(inverse(multiply(X_12,identity))),identity))),bind(Y,$fot(inverse(inverse(inverse(multiply(X_12,identity)))))),bind(Z,$fot(double_divide(identity,multiply(X_12,identity))))]]) ).
cnf(refute_0_559,plain,
( inverse(inverse(inverse(multiply(X_12,identity)))) != double_divide(identity,multiply(X_12,identity))
| double_divide(inverse(inverse(multiply(X_12,identity))),identity) = double_divide(identity,multiply(X_12,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_12,identity))),identity),inverse(inverse(inverse(multiply(X_12,identity))))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
double_divide(inverse(inverse(multiply(X_12,identity))),identity) = double_divide(identity,multiply(X_12,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_12,identity)))),double_divide(identity,multiply(X_12,identity))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)))]]) ).
cnf(refute_0_562,plain,
( double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) != double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)),double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_563,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)),double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(X_12,inverse(identity)) = multiply(X_12,inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(X_12,inverse(identity)))]]) ).
cnf(refute_0_566,plain,
( multiply(X_12,inverse(identity)) != multiply(X_12,inverse(identity))
| inverse(identity) != identity
| multiply(X_12,inverse(identity)) = multiply(X_12,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,inverse(identity)),multiply(X_12,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_567,plain,
( inverse(identity) != identity
| multiply(X_12,inverse(identity)) = multiply(X_12,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(identity)),multiply(X_12,inverse(identity))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiply(X_12,inverse(identity)) = multiply(X_12,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_567]) ).
cnf(refute_0_569,plain,
inverse(multiply(X_12,inverse(identity))) = inverse(multiply(X_12,inverse(identity))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_12,inverse(identity))))]]) ).
cnf(refute_0_570,plain,
( multiply(X_12,inverse(identity)) != multiply(X_12,identity)
| inverse(multiply(X_12,inverse(identity))) != inverse(multiply(X_12,inverse(identity)))
| inverse(multiply(X_12,inverse(identity))) = inverse(multiply(X_12,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_12,inverse(identity))),inverse(multiply(X_12,inverse(identity)))) ),[1,0],$fot(multiply(X_12,identity))]]) ).
cnf(refute_0_571,plain,
( multiply(X_12,inverse(identity)) != multiply(X_12,identity)
| inverse(multiply(X_12,inverse(identity))) = inverse(multiply(X_12,identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_12,inverse(identity))),inverse(multiply(X_12,inverse(identity)))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
inverse(multiply(X_12,inverse(identity))) = inverse(multiply(X_12,identity)),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(identity)),multiply(X_12,identity)) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
inverse(inverse(multiply(X_12,inverse(identity)))) = inverse(inverse(multiply(X_12,inverse(identity)))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(X_12,inverse(identity)))))]]) ).
cnf(refute_0_574,plain,
( inverse(multiply(X_12,inverse(identity))) != inverse(multiply(X_12,identity))
| inverse(inverse(multiply(X_12,inverse(identity)))) != inverse(inverse(multiply(X_12,inverse(identity))))
| inverse(inverse(multiply(X_12,inverse(identity)))) = inverse(inverse(multiply(X_12,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_12,inverse(identity)))),inverse(inverse(multiply(X_12,inverse(identity))))) ),[1,0],$fot(inverse(multiply(X_12,identity)))]]) ).
cnf(refute_0_575,plain,
( inverse(multiply(X_12,inverse(identity))) != inverse(multiply(X_12,identity))
| inverse(inverse(multiply(X_12,inverse(identity)))) = inverse(inverse(multiply(X_12,identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_12,inverse(identity)))),inverse(inverse(multiply(X_12,inverse(identity))))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
inverse(inverse(multiply(X_12,inverse(identity)))) = inverse(inverse(multiply(X_12,identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_12,inverse(identity))),inverse(multiply(X_12,identity))) )],[refute_0_572,refute_0_575]) ).
cnf(refute_0_577,plain,
double_divide(identity,double_divide(inverse(identity),X_12)) = inverse(inverse(multiply(X_12,inverse(identity)))),
inference(subst,[],[refute_0_166:[bind(A,$fot(X_12)),bind(B,$fot(inverse(identity)))]]) ).
cnf(refute_0_578,plain,
( double_divide(identity,double_divide(inverse(identity),X_12)) != inverse(inverse(multiply(X_12,inverse(identity))))
| inverse(inverse(multiply(X_12,inverse(identity)))) != inverse(inverse(multiply(X_12,identity)))
| double_divide(identity,double_divide(inverse(identity),X_12)) = inverse(inverse(multiply(X_12,identity))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(identity,double_divide(inverse(identity),X_12)))),bind(Y,$fot(inverse(inverse(multiply(X_12,inverse(identity)))))),bind(Z,$fot(inverse(inverse(multiply(X_12,identity)))))]]) ).
cnf(refute_0_579,plain,
( inverse(inverse(multiply(X_12,inverse(identity)))) != inverse(inverse(multiply(X_12,identity)))
| double_divide(identity,double_divide(inverse(identity),X_12)) = inverse(inverse(multiply(X_12,identity))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(inverse(multiply(X_12,inverse(identity))))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
double_divide(identity,double_divide(inverse(identity),X_12)) = inverse(inverse(multiply(X_12,identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_12,inverse(identity)))),inverse(inverse(multiply(X_12,identity)))) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))
| double_divide(identity,double_divide(inverse(identity),X_12)) != inverse(inverse(multiply(X_12,identity)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) ),
introduced(tautology,[equality,[$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(inverse(inverse(multiply(X_12,identity))))]]) ).
cnf(refute_0_582,plain,
( double_divide(identity,double_divide(inverse(identity),X_12)) != inverse(inverse(multiply(X_12,identity)))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity))) )],[refute_0_436,refute_0_581]) ).
cnf(refute_0_583,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(inverse(multiply(X_12,identity)))) )],[refute_0_580,refute_0_582]) ).
cnf(refute_0_584,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity))
| double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) != double_divide(inverse(inverse(multiply(X_12,identity))),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)))),bind(Z,$fot(double_divide(inverse(inverse(multiply(X_12,identity))),identity)))]]) ).
cnf(refute_0_585,plain,
( double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)) != double_divide(inverse(inverse(multiply(X_12,identity))),identity)
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(inverse(inverse(multiply(X_12,identity))),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_12,identity))),inverse(identity)),double_divide(inverse(inverse(multiply(X_12,identity))),identity)) )],[refute_0_564,refute_0_585]) ).
cnf(refute_0_587,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(inverse(inverse(multiply(X_12,identity))),identity)
| double_divide(inverse(inverse(multiply(X_12,identity))),identity) != double_divide(identity,multiply(X_12,identity))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(identity,multiply(X_12,identity)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(multiply(X_12,identity))),identity))),bind(Z,$fot(double_divide(identity,multiply(X_12,identity))))]]) ).
cnf(refute_0_588,plain,
( double_divide(inverse(inverse(multiply(X_12,identity))),identity) != double_divide(identity,multiply(X_12,identity))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(identity,multiply(X_12,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(inverse(inverse(multiply(X_12,identity))),identity)) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) = double_divide(identity,multiply(X_12,identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(X_12,identity))),identity),double_divide(identity,multiply(X_12,identity))) )],[refute_0_560,refute_0_588]) ).
cnf(refute_0_590,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(identity,multiply(X_12,identity))
| double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(identity,multiply(X_12,identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) ),[0],$fot(double_divide(identity,multiply(X_12,identity)))]]) ).
cnf(refute_0_591,plain,
( double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(identity,multiply(X_12,identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(identity,multiply(X_12,identity))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
double_divide(identity,multiply(X_12,identity)) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(identity),X_12)),inverse(identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_555,refute_0_591]) ).
cnf(refute_0_593,plain,
double_divide(identity,multiply(X_12,identity)) = multiply(double_divide(identity,X_12),identity),
inference(subst,[],[refute_0_283:[bind(A,$fot(X_12)),bind(B,$fot(identity))]]) ).
cnf(refute_0_594,plain,
( double_divide(identity,multiply(X_12,identity)) != multiply(double_divide(identity,X_12),identity)
| double_divide(identity,multiply(X_12,identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| multiply(double_divide(identity,X_12),identity) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(X_12,identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) ),[0],$fot(multiply(double_divide(identity,X_12),identity))]]) ).
cnf(refute_0_595,plain,
( double_divide(identity,multiply(X_12,identity)) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| multiply(double_divide(identity,X_12),identity) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_12,identity)),multiply(double_divide(identity,X_12),identity)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
multiply(double_divide(identity,X_12),identity) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_12,identity)),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(double_divide(identity,X_12),identity) = double_divide(identity,X_12),
inference(subst,[],[refute_0_522:[bind(X_12,$fot(double_divide(identity,X_12)))]]) ).
cnf(refute_0_598,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(identity,X_12)
| double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),identity) = inverse(X_12) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(double_divide(identity,X_12),identity))),bind(Y,$fot(double_divide(identity,X_12))),bind(Z,$fot(inverse(X_12)))]]) ).
cnf(refute_0_599,plain,
( double_divide(identity,X_12) != inverse(X_12)
| multiply(double_divide(identity,X_12),identity) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),double_divide(identity,X_12)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(double_divide(identity,X_12),identity) = inverse(X_12),
inference(resolve,[$cnf( $equal(double_divide(identity,X_12),inverse(X_12)) )],[refute_0_505,refute_0_599]) ).
cnf(refute_0_601,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| multiply(double_divide(identity,X_12),identity) != inverse(X_12)
| inverse(X_12) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) ),[0],$fot(inverse(X_12))]]) ).
cnf(refute_0_602,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| inverse(X_12) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),inverse(X_12)) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
double_divide(identity,X_11) = inverse(X_11),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(X_11))]]) ).
cnf(refute_0_604,plain,
double_divide(double_divide(identity,X_11),inverse(X_12)) = double_divide(double_divide(identity,X_11),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_11),inverse(X_12)))]]) ).
cnf(refute_0_605,plain,
( double_divide(double_divide(identity,X_11),inverse(X_12)) != double_divide(double_divide(identity,X_11),inverse(X_12))
| double_divide(identity,X_11) != inverse(X_11)
| double_divide(double_divide(identity,X_11),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_11),inverse(X_12)),double_divide(double_divide(identity,X_11),inverse(X_12))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_606,plain,
( double_divide(identity,X_11) != inverse(X_11)
| double_divide(double_divide(identity,X_11),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),inverse(X_12)),double_divide(double_divide(identity,X_11),inverse(X_12))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
double_divide(double_divide(identity,X_11),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,X_11),inverse(X_11)) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) = double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))))]]) ).
cnf(refute_0_609,plain,
( double_divide(double_divide(identity,X_11),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) = double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(X_12)))]]) ).
cnf(refute_0_610,plain,
( double_divide(double_divide(identity,X_11),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) = double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) = double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),inverse(X_12)),double_divide(inverse(X_11),inverse(X_12))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))) != double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12)))
| inverse(X_12) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| inverse(X_12) = double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_12),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) ),[1],$fot(double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))))]]) ).
cnf(refute_0_613,plain,
( inverse(X_12) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| inverse(X_12) = double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12)))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
( multiply(double_divide(identity,X_12),identity) != double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))
| inverse(X_12) = double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_602,refute_0_613]) ).
cnf(refute_0_615,plain,
inverse(X_12) = double_divide(inverse(X_11),double_divide(inverse(X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_12),identity),double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) )],[refute_0_596,refute_0_614]) ).
cnf(refute_0_616,plain,
inverse(X_66) = double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66))),
inference(subst,[],[refute_0_615:[bind(X_11,$fot(X_65)),bind(X_12,$fot(X_66))]]) ).
cnf(refute_0_617,plain,
( inverse(X_66) != double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))
| double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66))) = inverse(X_66) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_66))),bind(Y,$fot(double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))))]]) ).
cnf(refute_0_618,plain,
double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66))) = inverse(X_66),
inference(resolve,[$cnf( $equal(inverse(X_66),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
( multiply(inverse(X_65),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))) != inverse(double_divide(inverse(X_65),inverse(X_66)))
| double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66))) != inverse(X_66)
| multiply(inverse(X_65),inverse(X_66)) = inverse(double_divide(inverse(X_65),inverse(X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_65),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))),inverse(double_divide(inverse(X_65),inverse(X_66)))) ),[0,1],$fot(inverse(X_66))]]) ).
cnf(refute_0_620,plain,
( multiply(inverse(X_65),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))) != inverse(double_divide(inverse(X_65),inverse(X_66)))
| multiply(inverse(X_65),inverse(X_66)) = inverse(double_divide(inverse(X_65),inverse(X_66))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66))),inverse(X_66)) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(inverse(X_65),inverse(X_66)) = inverse(double_divide(inverse(X_65),inverse(X_66))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_65),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(X_66)))),inverse(double_divide(inverse(X_65),inverse(X_66)))) )],[refute_0_536,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(inverse(inverse(multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)))),inverse(multiply(inverse(inverse(X_45)),identity))) = double_divide(X_45,X_44),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(inverse(inverse(X_45)))),bind(X_35,$fot(double_divide(X_45,X_44)))]]) ).
cnf(refute_0_623,plain,
multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)) = inverse(multiply(X_44,identity)),
inference(subst,[],[refute_0_341:[bind(X_40,$fot(X_44)),bind(X_41,$fot(X_45))]]) ).
cnf(refute_0_624,plain,
( multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)) != inverse(multiply(X_44,identity))
| multiply(inverse(inverse(multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)))),inverse(multiply(inverse(inverse(X_45)),identity))) != double_divide(X_45,X_44)
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = double_divide(X_45,X_44) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)))),inverse(multiply(inverse(inverse(X_45)),identity))),double_divide(X_45,X_44)) ),[0,0,0,0],$fot(inverse(multiply(X_44,identity)))]]) ).
cnf(refute_0_625,plain,
( multiply(inverse(inverse(multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)))),inverse(multiply(inverse(inverse(X_45)),identity))) != double_divide(X_45,X_44)
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = double_divide(X_45,X_44) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)),inverse(multiply(X_44,identity))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = double_divide(X_45,X_44),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(inverse(X_45)),double_divide(X_45,X_44)))),inverse(multiply(inverse(inverse(X_45)),identity))),double_divide(X_45,X_44)) )],[refute_0_622,refute_0_625]) ).
cnf(refute_0_627,plain,
double_divide(identity,multiply(X_45,identity)) = multiply(double_divide(identity,X_45),identity),
inference(subst,[],[refute_0_283:[bind(A,$fot(X_45)),bind(B,$fot(identity))]]) ).
cnf(refute_0_628,plain,
inverse(inverse(inverse(multiply(X_45,identity)))) = double_divide(identity,multiply(X_45,identity)),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(multiply(X_45,identity)))]]) ).
cnf(refute_0_629,plain,
( double_divide(identity,multiply(X_45,identity)) != multiply(double_divide(identity,X_45),identity)
| inverse(inverse(inverse(multiply(X_45,identity)))) != double_divide(identity,multiply(X_45,identity))
| inverse(inverse(inverse(multiply(X_45,identity)))) = multiply(double_divide(identity,X_45),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(inverse(inverse(multiply(X_45,identity)))))),bind(Y,$fot(double_divide(identity,multiply(X_45,identity)))),bind(Z,$fot(multiply(double_divide(identity,X_45),identity)))]]) ).
cnf(refute_0_630,plain,
( double_divide(identity,multiply(X_45,identity)) != multiply(double_divide(identity,X_45),identity)
| inverse(inverse(inverse(multiply(X_45,identity)))) = multiply(double_divide(identity,X_45),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_45,identity)))),double_divide(identity,multiply(X_45,identity))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
inverse(inverse(inverse(multiply(X_45,identity)))) = multiply(double_divide(identity,X_45),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_45,identity)),multiply(double_divide(identity,X_45),identity)) )],[refute_0_627,refute_0_630]) ).
cnf(refute_0_632,plain,
multiply(inverse(X_45),identity) = inverse(multiply(X_45,identity)),
inference(subst,[],[refute_0_318:[bind(X_20,$fot(X_45))]]) ).
cnf(refute_0_633,plain,
inverse(multiply(inverse(X_45),identity)) = inverse(multiply(inverse(X_45),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_45),identity)))]]) ).
cnf(refute_0_634,plain,
( multiply(inverse(X_45),identity) != inverse(multiply(X_45,identity))
| inverse(multiply(inverse(X_45),identity)) != inverse(multiply(inverse(X_45),identity))
| inverse(multiply(inverse(X_45),identity)) = inverse(inverse(multiply(X_45,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_45),identity)),inverse(multiply(inverse(X_45),identity))) ),[1,0],$fot(inverse(multiply(X_45,identity)))]]) ).
cnf(refute_0_635,plain,
( multiply(inverse(X_45),identity) != inverse(multiply(X_45,identity))
| inverse(multiply(inverse(X_45),identity)) = inverse(inverse(multiply(X_45,identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_45),identity)),inverse(multiply(inverse(X_45),identity))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
inverse(multiply(inverse(X_45),identity)) = inverse(inverse(multiply(X_45,identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_45),identity),inverse(multiply(X_45,identity))) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
multiply(inverse(inverse(X_45)),identity) = inverse(multiply(inverse(X_45),identity)),
inference(subst,[],[refute_0_318:[bind(X_20,$fot(inverse(X_45)))]]) ).
cnf(refute_0_638,plain,
( multiply(inverse(inverse(X_45)),identity) != inverse(multiply(inverse(X_45),identity))
| inverse(multiply(inverse(X_45),identity)) != inverse(inverse(multiply(X_45,identity)))
| multiply(inverse(inverse(X_45)),identity) = inverse(inverse(multiply(X_45,identity))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(inverse(inverse(X_45)),identity))),bind(Y,$fot(inverse(multiply(inverse(X_45),identity)))),bind(Z,$fot(inverse(inverse(multiply(X_45,identity)))))]]) ).
cnf(refute_0_639,plain,
( inverse(multiply(inverse(X_45),identity)) != inverse(inverse(multiply(X_45,identity)))
| multiply(inverse(inverse(X_45)),identity) = inverse(inverse(multiply(X_45,identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_45)),identity),inverse(multiply(inverse(X_45),identity))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
multiply(inverse(inverse(X_45)),identity) = inverse(inverse(multiply(X_45,identity))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_45),identity)),inverse(inverse(multiply(X_45,identity)))) )],[refute_0_636,refute_0_639]) ).
cnf(refute_0_641,plain,
inverse(multiply(inverse(inverse(X_45)),identity)) = inverse(multiply(inverse(inverse(X_45)),identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(X_45)),identity)))]]) ).
cnf(refute_0_642,plain,
( multiply(inverse(inverse(X_45)),identity) != inverse(inverse(multiply(X_45,identity)))
| inverse(multiply(inverse(inverse(X_45)),identity)) != inverse(multiply(inverse(inverse(X_45)),identity))
| inverse(multiply(inverse(inverse(X_45)),identity)) = inverse(inverse(inverse(multiply(X_45,identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(X_45)),identity)),inverse(multiply(inverse(inverse(X_45)),identity))) ),[1,0],$fot(inverse(inverse(multiply(X_45,identity))))]]) ).
cnf(refute_0_643,plain,
( multiply(inverse(inverse(X_45)),identity) != inverse(inverse(multiply(X_45,identity)))
| inverse(multiply(inverse(inverse(X_45)),identity)) = inverse(inverse(inverse(multiply(X_45,identity)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_45)),identity)),inverse(multiply(inverse(inverse(X_45)),identity))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
inverse(multiply(inverse(inverse(X_45)),identity)) = inverse(inverse(inverse(multiply(X_45,identity)))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_45)),identity),inverse(inverse(multiply(X_45,identity)))) )],[refute_0_640,refute_0_643]) ).
cnf(refute_0_645,plain,
( inverse(multiply(inverse(inverse(X_45)),identity)) != inverse(inverse(inverse(multiply(X_45,identity))))
| inverse(inverse(inverse(multiply(X_45,identity)))) != multiply(double_divide(identity,X_45),identity)
| inverse(multiply(inverse(inverse(X_45)),identity)) = multiply(double_divide(identity,X_45),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(multiply(inverse(inverse(X_45)),identity)))),bind(Y,$fot(inverse(inverse(inverse(multiply(X_45,identity)))))),bind(Z,$fot(multiply(double_divide(identity,X_45),identity)))]]) ).
cnf(refute_0_646,plain,
( inverse(inverse(inverse(multiply(X_45,identity)))) != multiply(double_divide(identity,X_45),identity)
| inverse(multiply(inverse(inverse(X_45)),identity)) = multiply(double_divide(identity,X_45),identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_45)),identity)),inverse(inverse(inverse(multiply(X_45,identity))))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
inverse(multiply(inverse(inverse(X_45)),identity)) = multiply(double_divide(identity,X_45),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_45,identity)))),multiply(double_divide(identity,X_45),identity)) )],[refute_0_631,refute_0_646]) ).
cnf(refute_0_648,plain,
multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))),
introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))))]]) ).
cnf(refute_0_649,plain,
( multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) != multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity)))
| inverse(multiply(inverse(inverse(X_45)),identity)) != multiply(double_divide(identity,X_45),identity)
| multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))),multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity)))) ),[1,1],$fot(multiply(double_divide(identity,X_45),identity))]]) ).
cnf(refute_0_650,plain,
( inverse(multiply(inverse(inverse(X_45)),identity)) != multiply(double_divide(identity,X_45),identity)
| multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))),multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity)))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(X_45)),identity)),multiply(double_divide(identity,X_45),identity)) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
double_divide(identity,multiply(X_44,identity)) = multiply(double_divide(identity,X_44),identity),
inference(subst,[],[refute_0_283:[bind(A,$fot(X_44)),bind(B,$fot(identity))]]) ).
cnf(refute_0_653,plain,
inverse(inverse(inverse(multiply(X_44,identity)))) = double_divide(identity,multiply(X_44,identity)),
inference(subst,[],[refute_0_195:[bind(X_13,$fot(multiply(X_44,identity)))]]) ).
cnf(refute_0_654,plain,
( double_divide(identity,multiply(X_44,identity)) != multiply(double_divide(identity,X_44),identity)
| inverse(inverse(inverse(multiply(X_44,identity)))) != double_divide(identity,multiply(X_44,identity))
| inverse(inverse(inverse(multiply(X_44,identity)))) = multiply(double_divide(identity,X_44),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(inverse(inverse(multiply(X_44,identity)))))),bind(Y,$fot(double_divide(identity,multiply(X_44,identity)))),bind(Z,$fot(multiply(double_divide(identity,X_44),identity)))]]) ).
cnf(refute_0_655,plain,
( double_divide(identity,multiply(X_44,identity)) != multiply(double_divide(identity,X_44),identity)
| inverse(inverse(inverse(multiply(X_44,identity)))) = multiply(double_divide(identity,X_44),identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_44,identity)))),double_divide(identity,multiply(X_44,identity))) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
inverse(inverse(inverse(multiply(X_44,identity)))) = multiply(double_divide(identity,X_44),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_44,identity)),multiply(double_divide(identity,X_44),identity)) )],[refute_0_652,refute_0_655]) ).
cnf(refute_0_657,plain,
multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))))]]) ).
cnf(refute_0_658,plain,
( multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) != multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity)))
| inverse(inverse(inverse(multiply(X_44,identity)))) != multiply(double_divide(identity,X_44),identity)
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))),multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity)))) ),[1,0],$fot(multiply(double_divide(identity,X_44),identity))]]) ).
cnf(refute_0_659,plain,
( inverse(inverse(inverse(multiply(X_44,identity)))) != multiply(double_divide(identity,X_44),identity)
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))),multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity)))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(X_44,identity)))),multiply(double_divide(identity,X_44),identity)) )],[refute_0_656,refute_0_659]) ).
cnf(refute_0_661,plain,
( multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) != multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) != multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity)))
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))))),bind(Y,$fot(multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))))),bind(Z,$fot(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))))]]) ).
cnf(refute_0_662,plain,
( multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))) != multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))),multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity)))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) = multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),inverse(multiply(inverse(inverse(X_45)),identity))),multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))) )],[refute_0_651,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) != multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))
| multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) != double_divide(X_45,X_44)
| multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = double_divide(X_45,X_44) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))),double_divide(X_45,X_44)) ),[0],$fot(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)))]]) ).
cnf(refute_0_665,plain,
( multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))) != double_divide(X_45,X_44)
| multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = double_divide(X_45,X_44) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))),multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = double_divide(X_45,X_44),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(multiply(X_44,identity)))),inverse(multiply(inverse(inverse(X_45)),identity))),double_divide(X_45,X_44)) )],[refute_0_626,refute_0_665]) ).
cnf(refute_0_667,plain,
double_divide(identity,X_45) = inverse(X_45),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(X_45))]]) ).
cnf(refute_0_668,plain,
multiply(double_divide(identity,X_45),identity) = double_divide(identity,X_45),
inference(subst,[],[refute_0_522:[bind(X_12,$fot(double_divide(identity,X_45)))]]) ).
cnf(refute_0_669,plain,
( multiply(double_divide(identity,X_45),identity) != double_divide(identity,X_45)
| double_divide(identity,X_45) != inverse(X_45)
| multiply(double_divide(identity,X_45),identity) = inverse(X_45) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(double_divide(identity,X_45),identity))),bind(Y,$fot(double_divide(identity,X_45))),bind(Z,$fot(inverse(X_45)))]]) ).
cnf(refute_0_670,plain,
( double_divide(identity,X_45) != inverse(X_45)
| multiply(double_divide(identity,X_45),identity) = inverse(X_45) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_45),identity),double_divide(identity,X_45)) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
multiply(double_divide(identity,X_45),identity) = inverse(X_45),
inference(resolve,[$cnf( $equal(double_divide(identity,X_45),inverse(X_45)) )],[refute_0_667,refute_0_670]) ).
cnf(refute_0_672,plain,
multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)))]]) ).
cnf(refute_0_673,plain,
( multiply(double_divide(identity,X_45),identity) != inverse(X_45)
| multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) != multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity))
| multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)),multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity))) ),[1,1],$fot(inverse(X_45))]]) ).
cnf(refute_0_674,plain,
( multiply(double_divide(identity,X_45),identity) != inverse(X_45)
| multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),inverse(X_45)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)),multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),inverse(X_45)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_45),identity),inverse(X_45)) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
double_divide(identity,X_44) = inverse(X_44),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(X_44))]]) ).
cnf(refute_0_677,plain,
multiply(double_divide(identity,X_44),identity) = double_divide(identity,X_44),
inference(subst,[],[refute_0_522:[bind(X_12,$fot(double_divide(identity,X_44)))]]) ).
cnf(refute_0_678,plain,
( multiply(double_divide(identity,X_44),identity) != double_divide(identity,X_44)
| double_divide(identity,X_44) != inverse(X_44)
| multiply(double_divide(identity,X_44),identity) = inverse(X_44) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(double_divide(identity,X_44),identity))),bind(Y,$fot(double_divide(identity,X_44))),bind(Z,$fot(inverse(X_44)))]]) ).
cnf(refute_0_679,plain,
( double_divide(identity,X_44) != inverse(X_44)
| multiply(double_divide(identity,X_44),identity) = inverse(X_44) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_44),identity),double_divide(identity,X_44)) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiply(double_divide(identity,X_44),identity) = inverse(X_44),
inference(resolve,[$cnf( $equal(double_divide(identity,X_44),inverse(X_44)) )],[refute_0_676,refute_0_679]) ).
cnf(refute_0_681,plain,
multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),
introduced(tautology,[refl,[$fot(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)))]]) ).
cnf(refute_0_682,plain,
( multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) != multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))
| multiply(double_divide(identity,X_44),identity) != inverse(X_44)
| multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))) ),[1,0],$fot(inverse(X_44))]]) ).
cnf(refute_0_683,plain,
( multiply(double_divide(identity,X_44),identity) != inverse(X_44)
| multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_44),identity),inverse(X_44)) )],[refute_0_680,refute_0_683]) ).
cnf(refute_0_685,plain,
( multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) != multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity))
| multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) != multiply(inverse(X_44),inverse(X_45))
| multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),inverse(X_45)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)))),bind(Y,$fot(multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)))),bind(Z,$fot(multiply(inverse(X_44),inverse(X_45))))]]) ).
cnf(refute_0_686,plain,
( multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)) != multiply(inverse(X_44),inverse(X_45))
| multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),inverse(X_45)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) = multiply(inverse(X_44),inverse(X_45)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_44),multiply(double_divide(identity,X_45),identity)),multiply(inverse(X_44),inverse(X_45))) )],[refute_0_675,refute_0_686]) ).
cnf(refute_0_688,plain,
( multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) != multiply(inverse(X_44),inverse(X_45))
| multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) != double_divide(X_45,X_44)
| multiply(inverse(X_44),inverse(X_45)) = double_divide(X_45,X_44) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),double_divide(X_45,X_44)) ),[0],$fot(multiply(inverse(X_44),inverse(X_45)))]]) ).
cnf(refute_0_689,plain,
( multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)) != double_divide(X_45,X_44)
| multiply(inverse(X_44),inverse(X_45)) = double_divide(X_45,X_44) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),multiply(inverse(X_44),inverse(X_45))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
multiply(inverse(X_44),inverse(X_45)) = double_divide(X_45,X_44),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,X_44),identity),multiply(double_divide(identity,X_45),identity)),double_divide(X_45,X_44)) )],[refute_0_666,refute_0_689]) ).
cnf(refute_0_691,plain,
multiply(inverse(X_65),inverse(X_66)) = double_divide(X_66,X_65),
inference(subst,[],[refute_0_690:[bind(X_44,$fot(X_65)),bind(X_45,$fot(X_66))]]) ).
cnf(refute_0_692,plain,
( multiply(inverse(X_65),inverse(X_66)) != double_divide(X_66,X_65)
| multiply(inverse(X_65),inverse(X_66)) != inverse(double_divide(inverse(X_65),inverse(X_66)))
| double_divide(X_66,X_65) = inverse(double_divide(inverse(X_65),inverse(X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_65),inverse(X_66)),inverse(double_divide(inverse(X_65),inverse(X_66)))) ),[0],$fot(double_divide(X_66,X_65))]]) ).
cnf(refute_0_693,plain,
( multiply(inverse(X_65),inverse(X_66)) != inverse(double_divide(inverse(X_65),inverse(X_66)))
| double_divide(X_66,X_65) = inverse(double_divide(inverse(X_65),inverse(X_66))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_65),inverse(X_66)),double_divide(X_66,X_65)) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
multiply(inverse(X_66),inverse(X_65)) = double_divide(X_65,X_66),
inference(subst,[],[refute_0_690:[bind(X_44,$fot(X_66)),bind(X_45,$fot(X_65))]]) ).
cnf(refute_0_695,plain,
inverse(double_divide(inverse(X_65),inverse(X_66))) = multiply(inverse(X_66),inverse(X_65)),
inference(subst,[],[refute_0_22:[bind(A,$fot(inverse(X_66))),bind(B,$fot(inverse(X_65)))]]) ).
cnf(refute_0_696,plain,
( multiply(inverse(X_66),inverse(X_65)) != double_divide(X_65,X_66)
| inverse(double_divide(inverse(X_65),inverse(X_66))) != multiply(inverse(X_66),inverse(X_65))
| inverse(double_divide(inverse(X_65),inverse(X_66))) = double_divide(X_65,X_66) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(double_divide(inverse(X_65),inverse(X_66))))),bind(Y,$fot(multiply(inverse(X_66),inverse(X_65)))),bind(Z,$fot(double_divide(X_65,X_66)))]]) ).
cnf(refute_0_697,plain,
( multiply(inverse(X_66),inverse(X_65)) != double_divide(X_65,X_66)
| inverse(double_divide(inverse(X_65),inverse(X_66))) = double_divide(X_65,X_66) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_65),inverse(X_66))),multiply(inverse(X_66),inverse(X_65))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
inverse(double_divide(inverse(X_65),inverse(X_66))) = double_divide(X_65,X_66),
inference(resolve,[$cnf( $equal(multiply(inverse(X_66),inverse(X_65)),double_divide(X_65,X_66)) )],[refute_0_694,refute_0_697]) ).
cnf(refute_0_699,plain,
( double_divide(X_66,X_65) != inverse(double_divide(inverse(X_65),inverse(X_66)))
| inverse(double_divide(inverse(X_65),inverse(X_66))) != double_divide(X_65,X_66)
| double_divide(X_66,X_65) = double_divide(X_65,X_66) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_66,X_65),double_divide(X_65,X_66)) ),[0],$fot(inverse(double_divide(inverse(X_65),inverse(X_66))))]]) ).
cnf(refute_0_700,plain,
( double_divide(X_66,X_65) != inverse(double_divide(inverse(X_65),inverse(X_66)))
| double_divide(X_66,X_65) = double_divide(X_65,X_66) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_65),inverse(X_66))),double_divide(X_65,X_66)) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
( multiply(inverse(X_65),inverse(X_66)) != inverse(double_divide(inverse(X_65),inverse(X_66)))
| double_divide(X_66,X_65) = double_divide(X_65,X_66) ),
inference(resolve,[$cnf( $equal(double_divide(X_66,X_65),inverse(double_divide(inverse(X_65),inverse(X_66)))) )],[refute_0_693,refute_0_700]) ).
cnf(refute_0_702,plain,
double_divide(X_66,X_65) = double_divide(X_65,X_66),
inference(resolve,[$cnf( $equal(multiply(inverse(X_65),inverse(X_66)),inverse(double_divide(inverse(X_65),inverse(X_66)))) )],[refute_0_621,refute_0_701]) ).
cnf(refute_0_703,plain,
double_divide(B,A) = double_divide(A,B),
inference(subst,[],[refute_0_702:[bind(X_65,$fot(A)),bind(X_66,$fot(B))]]) ).
cnf(refute_0_704,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| double_divide(B,A) != double_divide(A,B)
| multiply(A,B) = inverse(double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) ),[1,0],$fot(double_divide(A,B))]]) ).
cnf(refute_0_705,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
multiply(A,B) = inverse(double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_705]) ).
cnf(refute_0_707,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(subst,[],[refute_0_22:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_708,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| inverse(double_divide(A,B)) != multiply(B,A)
| multiply(A,B) = multiply(B,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(B,A)) ),[0],$fot(inverse(double_divide(A,B)))]]) ).
cnf(refute_0_709,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| multiply(A,B) = multiply(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),multiply(B,A)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
multiply(A,B) = multiply(B,A),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(A,B))) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
( multiply(A,B) != multiply(B,A)
| multiply(B,A) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(multiply(B,A)))]]) ).
cnf(refute_0_712,plain,
multiply(B,A) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(B,A)) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_712:[bind(A,$fot(c3)),bind(B,$fot(multiply(a3,b3)))]]) ).
cnf(refute_0_714,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_715,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_715,prove_these_axioms_3]) ).
cnf(refute_0_717,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity))))),inverse(identity)) = C,
inference(subst,[],[refute_0_16:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))))]]) ).
cnf(refute_0_718,plain,
double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity)) = X_14,
inference(subst,[],[refute_0_134:[bind(X_11,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_719,plain,
( double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity)) != X_14
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity))))),inverse(identity)),C) ),[0,0,1,1,1],$fot(X_14)]]) ).
cnf(refute_0_720,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity)),X_14) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,double_divide(double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14))),inverse(identity))))),inverse(identity)),C) )],[refute_0_717,refute_0_720]) ).
cnf(refute_0_722,plain,
inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_723,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) = inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))))]]) ).
cnf(refute_0_724,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) != inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))))
| inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))) != multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)
| double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity))),bind(Y,$fot(inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))))),bind(Z,$fot(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)))]]) ).
cnf(refute_0_725,plain,
( inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))) != multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)
| double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity),inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))),multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)) )],[refute_0_722,refute_0_725]) ).
cnf(refute_0_727,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)))]]) ).
cnf(refute_0_728,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_729,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_729]) ).
cnf(refute_0_731,plain,
double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) = double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))))]]) ).
cnf(refute_0_732,plain,
( double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) != double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) = double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_733,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) = double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) = double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_733]) ).
cnf(refute_0_735,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)))]]) ).
cnf(refute_0_736,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))
| double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) != double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))))]]) ).
cnf(refute_0_737,plain,
( double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) != double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))) )],[refute_0_734,refute_0_737]) ).
cnf(refute_0_739,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity)))]]) ).
cnf(refute_0_740,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity)) )],[refute_0_730,refute_0_740]) ).
cnf(refute_0_742,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) != multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)))]]) ).
cnf(refute_0_743,plain,
( double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity) != multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity)) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),identity),multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)) )],[refute_0_726,refute_0_743]) ).
cnf(refute_0_745,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)
| multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),C) ),[0],$fot(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity))]]) ).
cnf(refute_0_746,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)) != C
| multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))),inverse(identity)),C) )],[refute_0_721,refute_0_746]) ).
cnf(refute_0_748,plain,
inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) = multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(double_divide(identity,X_11),inverse(X_12)))),bind(B,$fot(inverse(X_11)))]]) ).
cnf(refute_0_749,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity) = inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))))]]) ).
cnf(refute_0_750,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity) != inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))))
| inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) != multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity))),bind(Y,$fot(inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))))),bind(Z,$fot(multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))))]]) ).
cnf(refute_0_751,plain,
( inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))) != multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity),inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity) = multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12)))),multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))) )],[refute_0_748,refute_0_751]) ).
cnf(refute_0_753,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_754,plain,
( 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))
| inverse(identity) != 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))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_755,plain,
( inverse(identity) != 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))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_86,refute_0_755]) ).
cnf(refute_0_757,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity)
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))))]]) ).
cnf(refute_0_758,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity) != multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity)) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) = multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),identity),multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))) )],[refute_0_752,refute_0_758]) ).
cnf(refute_0_760,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) != multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))
| multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)))]]) ).
cnf(refute_0_761,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)) != X_12
| multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
multiply(double_divide(double_divide(identity,X_11),inverse(X_12)),inverse(X_11)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_11),inverse(X_12))),inverse(identity)),X_12) )],[refute_0_134,refute_0_761]) ).
cnf(refute_0_763,plain,
multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)) = X_14,
inference(subst,[],[refute_0_762:[bind(X_11,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_764,plain,
inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))) = inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))),
introduced(tautology,[refl,[$fot(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))))]]) ).
cnf(refute_0_765,plain,
( multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)) != X_14
| inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))) != inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))
| inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))) = inverse(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))),inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_766,plain,
( multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)) != X_14
| inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))),inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))) = inverse(X_14),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)),X_14) )],[refute_0_763,refute_0_766]) ).
cnf(refute_0_768,plain,
inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) = inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))))]]) ).
cnf(refute_0_769,plain,
( inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))) != inverse(X_14)
| inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) != inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))))
| inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) = inverse(inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))),inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))))) ),[1,0],$fot(inverse(X_14))]]) ).
cnf(refute_0_770,plain,
( inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))) != inverse(X_14)
| inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) = inverse(inverse(X_14)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))),inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) = inverse(inverse(X_14)),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))),inverse(X_14)) )],[refute_0_767,refute_0_770]) ).
cnf(refute_0_772,plain,
double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))) = inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))),
inference(subst,[],[refute_0_166:[bind(A,$fot(double_divide(double_divide(identity,X_13),inverse(X_14)))),bind(B,$fot(inverse(X_13)))]]) ).
cnf(refute_0_773,plain,
( double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))) != inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))))
| inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) != inverse(inverse(X_14))
| double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))) = inverse(inverse(X_14)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))))),bind(Y,$fot(inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))))),bind(Z,$fot(inverse(inverse(X_14))))]]) ).
cnf(refute_0_774,plain,
( inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))) != inverse(inverse(X_14))
| double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))) = inverse(inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13))))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))) = inverse(inverse(X_14)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(double_divide(identity,X_13),inverse(X_14)),inverse(X_13)))),inverse(inverse(X_14))) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)) = double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)))]]) ).
cnf(refute_0_777,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)) != double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))
| double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))) != inverse(inverse(X_14))
| double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)) = double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) ),[1,0],$fot(inverse(inverse(X_14)))]]) ).
cnf(refute_0_778,plain,
( double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))) != inverse(inverse(X_14))
| double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)) = double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)) = double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),inverse(inverse(X_14))) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) = multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity))]]) ).
cnf(refute_0_781,plain,
( multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) != multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)
| double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)) != double_divide(inverse(inverse(X_14)),double_divide(C,X_14))
| multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) = multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)) ),[1,0],$fot(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)))]]) ).
cnf(refute_0_782,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)) != double_divide(inverse(inverse(X_14)),double_divide(C,X_14))
| multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) = multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity)) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) = multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),double_divide(inverse(inverse(X_14)),double_divide(C,X_14))) )],[refute_0_779,refute_0_782]) ).
cnf(refute_0_784,plain,
( multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) != C
| multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) != multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity)
| multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),C) ),[0],$fot(multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity))]]) ).
cnf(refute_0_785,plain,
( multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity) != C
| multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) = C ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) = C,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(inverse(X_13),double_divide(double_divide(identity,X_13),inverse(X_14)))),double_divide(C,X_14)),identity),C) )],[refute_0_747,refute_0_785]) ).
cnf(refute_0_787,plain,
inverse(inverse(X_14)) = X_14,
inference(subst,[],[refute_0_463:[bind(X_10,$fot(X_14))]]) ).
cnf(refute_0_788,plain,
double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) = double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)))]]) ).
cnf(refute_0_789,plain,
( double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) != double_divide(inverse(inverse(X_14)),double_divide(C,X_14))
| inverse(inverse(X_14)) != X_14
| double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) = double_divide(X_14,double_divide(C,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),double_divide(inverse(inverse(X_14)),double_divide(C,X_14))) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_790,plain,
( inverse(inverse(X_14)) != X_14
| double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) = double_divide(X_14,double_divide(C,X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),double_divide(inverse(inverse(X_14)),double_divide(C,X_14))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) = double_divide(X_14,double_divide(C,X_14)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_14)),X_14) )],[refute_0_787,refute_0_790]) ).
cnf(refute_0_792,plain,
multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) = double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),
inference(subst,[],[refute_0_522:[bind(X_12,$fot(double_divide(inverse(inverse(X_14)),double_divide(C,X_14))))]]) ).
cnf(refute_0_793,plain,
( multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) != double_divide(inverse(inverse(X_14)),double_divide(C,X_14))
| double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) != double_divide(X_14,double_divide(C,X_14))
| multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) = double_divide(X_14,double_divide(C,X_14)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity))),bind(Y,$fot(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)))),bind(Z,$fot(double_divide(X_14,double_divide(C,X_14))))]]) ).
cnf(refute_0_794,plain,
( double_divide(inverse(inverse(X_14)),double_divide(C,X_14)) != double_divide(X_14,double_divide(C,X_14))
| multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) = double_divide(X_14,double_divide(C,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity),double_divide(inverse(inverse(X_14)),double_divide(C,X_14))) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) = double_divide(X_14,double_divide(C,X_14)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),double_divide(X_14,double_divide(C,X_14))) )],[refute_0_791,refute_0_794]) ).
cnf(refute_0_796,plain,
( multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) != C
| multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) != double_divide(X_14,double_divide(C,X_14))
| double_divide(X_14,double_divide(C,X_14)) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity),C) ),[0],$fot(double_divide(X_14,double_divide(C,X_14)))]]) ).
cnf(refute_0_797,plain,
( multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity) != C
| double_divide(X_14,double_divide(C,X_14)) = C ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity),double_divide(X_14,double_divide(C,X_14))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
double_divide(X_14,double_divide(C,X_14)) = C,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_14)),double_divide(C,X_14)),identity),C) )],[refute_0_786,refute_0_797]) ).
cnf(refute_0_799,plain,
double_divide(double_divide(X_147,X_150),double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150))) = multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),
inference(subst,[],[refute_0_798:[bind(C,$fot(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))))),bind(X_14,$fot(double_divide(X_147,X_150)))]]) ).
cnf(refute_0_800,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)) = C,
inference(subst,[],[refute_0_16:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_801,plain,
double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_16:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_802,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)),C) ),[0,0,1,1,1],$fot(X_12)]]) ).
cnf(refute_0_803,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity)),X_12) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,double_divide(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),inverse(identity))))),inverse(identity)),C) )],[refute_0_800,refute_0_803]) ).
cnf(refute_0_805,plain,
inverse(double_divide(X_12,double_divide(X_11,X_10))) = multiply(double_divide(X_11,X_10),X_12),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(X_11,X_10))),bind(B,$fot(X_12))]]) ).
cnf(refute_0_806,plain,
multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_807,plain,
( multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))
| inverse(double_divide(X_12,double_divide(X_11,X_10))) != multiply(double_divide(X_11,X_10),X_12)
| multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))) ),[1,1],$fot(multiply(double_divide(X_11,X_10),X_12))]]) ).
cnf(refute_0_808,plain,
( inverse(double_divide(X_12,double_divide(X_11,X_10))) != multiply(double_divide(X_11,X_10),X_12)
| multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_12,double_divide(X_11,X_10))),multiply(double_divide(X_11,X_10),X_12)) )],[refute_0_805,refute_0_808]) ).
cnf(refute_0_810,plain,
double_divide(identity,X_10) = inverse(X_10),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(X_10))]]) ).
cnf(refute_0_811,plain,
multiply(double_divide(identity,X_10),X_12) = multiply(double_divide(identity,X_10),X_12),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,X_10),X_12))]]) ).
cnf(refute_0_812,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(double_divide(identity,X_10),X_12)
| double_divide(identity,X_10) != inverse(X_10)
| multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(double_divide(identity,X_10),X_12)) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_813,plain,
( double_divide(identity,X_10) != inverse(X_10)
| multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(double_divide(identity,X_10),X_12)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(double_divide(identity,X_10),X_12) = multiply(inverse(X_10),X_12),
inference(resolve,[$cnf( $equal(double_divide(identity,X_10),inverse(X_10)) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(double_divide(identity,X_10),X_12),
inference(subst,[],[refute_0_463:[bind(X_10,$fot(multiply(double_divide(identity,X_10),X_12)))]]) ).
cnf(refute_0_816,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(inverse(X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(double_divide(identity,X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(inverse(multiply(double_divide(identity,X_10),X_12))))),bind(Y,$fot(multiply(double_divide(identity,X_10),X_12))),bind(Z,$fot(multiply(inverse(X_10),X_12)))]]) ).
cnf(refute_0_817,plain,
( multiply(double_divide(identity,X_10),X_12) != multiply(inverse(X_10),X_12)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),multiply(double_divide(identity,X_10),X_12)) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
inverse(inverse(multiply(double_divide(identity,X_10),X_12))) = multiply(inverse(X_10),X_12),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,X_10),X_12),multiply(inverse(X_10),X_12)) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10))]]) ).
cnf(refute_0_820,plain,
( 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)
| inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(inverse(X_10),X_12)
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(multiply(inverse(X_10),X_12),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)) ),[1,0],$fot(multiply(inverse(X_10),X_12))]]) ).
cnf(refute_0_821,plain,
( inverse(inverse(multiply(double_divide(identity,X_10),X_12))) != multiply(inverse(X_10),X_12)
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(multiply(inverse(X_10),X_12),X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) = multiply(multiply(inverse(X_10),X_12),X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),multiply(inverse(X_10),X_12)) )],[refute_0_818,refute_0_821]) ).
cnf(refute_0_823,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) != X_12
| multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) != multiply(multiply(inverse(X_10),X_12),X_10)
| multiply(multiply(inverse(X_10),X_12),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),X_12) ),[0],$fot(multiply(multiply(inverse(X_10),X_12),X_10))]]) ).
cnf(refute_0_824,plain,
( multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10) != X_12
| multiply(multiply(inverse(X_10),X_12),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),multiply(multiply(inverse(X_10),X_12),X_10)) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
multiply(multiply(inverse(X_10),X_12),X_10) = X_12,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(double_divide(identity,X_10),X_12))),X_10),X_12) )],[refute_0_174,refute_0_824]) ).
cnf(refute_0_826,plain,
multiply(multiply(inverse(X_10),X_12),X_10) = multiply(X_10,multiply(inverse(X_10),X_12)),
inference(subst,[],[refute_0_712:[bind(A,$fot(X_10)),bind(B,$fot(multiply(inverse(X_10),X_12)))]]) ).
cnf(refute_0_827,plain,
( multiply(multiply(inverse(X_10),X_12),X_10) != X_12
| multiply(multiply(inverse(X_10),X_12),X_10) != multiply(X_10,multiply(inverse(X_10),X_12))
| multiply(X_10,multiply(inverse(X_10),X_12)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_10),X_12),X_10),X_12) ),[0],$fot(multiply(X_10,multiply(inverse(X_10),X_12)))]]) ).
cnf(refute_0_828,plain,
( multiply(multiply(inverse(X_10),X_12),X_10) != X_12
| multiply(X_10,multiply(inverse(X_10),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_12),X_10),multiply(X_10,multiply(inverse(X_10),X_12))) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
multiply(X_10,multiply(inverse(X_10),X_12)) = X_12,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_10),X_12),X_10),X_12) )],[refute_0_825,refute_0_828]) ).
cnf(refute_0_830,plain,
multiply(X_89,multiply(inverse(X_89),double_divide(inverse(X_89),X_40))) = double_divide(inverse(X_89),X_40),
inference(subst,[],[refute_0_829:[bind(X_10,$fot(X_89)),bind(X_12,$fot(double_divide(inverse(X_89),X_40)))]]) ).
cnf(refute_0_831,plain,
multiply(inverse(X_89),double_divide(inverse(X_89),X_40)) = inverse(X_40),
inference(subst,[],[refute_0_535:[bind(X_41,$fot(inverse(X_89)))]]) ).
cnf(refute_0_832,plain,
( multiply(X_89,multiply(inverse(X_89),double_divide(inverse(X_89),X_40))) != double_divide(inverse(X_89),X_40)
| multiply(inverse(X_89),double_divide(inverse(X_89),X_40)) != inverse(X_40)
| multiply(X_89,inverse(X_40)) = double_divide(inverse(X_89),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,multiply(inverse(X_89),double_divide(inverse(X_89),X_40))),double_divide(inverse(X_89),X_40)) ),[0,1],$fot(inverse(X_40))]]) ).
cnf(refute_0_833,plain,
( multiply(X_89,multiply(inverse(X_89),double_divide(inverse(X_89),X_40))) != double_divide(inverse(X_89),X_40)
| multiply(X_89,inverse(X_40)) = double_divide(inverse(X_89),X_40) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_89),double_divide(inverse(X_89),X_40)),inverse(X_40)) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
multiply(X_89,inverse(X_40)) = double_divide(inverse(X_89),X_40),
inference(resolve,[$cnf( $equal(multiply(X_89,multiply(inverse(X_89),double_divide(inverse(X_89),X_40))),double_divide(inverse(X_89),X_40)) )],[refute_0_830,refute_0_833]) ).
cnf(refute_0_835,plain,
( multiply(X_89,inverse(X_40)) != double_divide(inverse(X_89),X_40)
| double_divide(inverse(X_89),X_40) = multiply(X_89,inverse(X_40)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_89,inverse(X_40)))),bind(Y,$fot(double_divide(inverse(X_89),X_40)))]]) ).
cnf(refute_0_836,plain,
double_divide(inverse(X_89),X_40) = multiply(X_89,inverse(X_40)),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(X_40)),double_divide(inverse(X_89),X_40)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),
inference(subst,[],[refute_0_836:[bind(X_40,$fot(double_divide(X_12,double_divide(X_11,X_10)))),bind(X_89,$fot(X_11))]]) ).
cnf(refute_0_838,plain,
( multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(Y,$fot(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))))),bind(Z,$fot(multiply(X_11,multiply(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_839,plain,
( multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))),multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) )],[refute_0_809,refute_0_839]) ).
cnf(refute_0_841,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))]]) ).
cnf(refute_0_842,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))
| double_divide(identity,X_11) != inverse(X_11)
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_843,plain,
( double_divide(identity,X_11) != inverse(X_11)
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))),
inference(resolve,[$cnf( $equal(double_divide(identity,X_11),inverse(X_11)) )],[refute_0_603,refute_0_843]) ).
cnf(refute_0_845,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10)))
| double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(Y,$fot(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(Z,$fot(multiply(X_11,multiply(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_846,plain,
( double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10)))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) = multiply(X_11,multiply(double_divide(X_11,X_10),X_12)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(X_12,double_divide(X_11,X_10))),multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) )],[refute_0_840,refute_0_846]) ).
cnf(refute_0_848,plain,
multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
introduced(tautology,[refl,[$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_849,plain,
( multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) ),[1,1],$fot(multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))]]) ).
cnf(refute_0_850,plain,
( double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))) != multiply(X_11,multiply(double_divide(X_11,X_10),X_12))
| multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) )],[refute_0_847,refute_0_850]) ).
cnf(refute_0_852,plain,
multiply(X_41,double_divide(X_41,double_divide(X_41,X_78))) = inverse(double_divide(X_41,X_78)),
inference(subst,[],[refute_0_535:[bind(X_40,$fot(double_divide(X_41,X_78)))]]) ).
cnf(refute_0_853,plain,
inverse(inverse(X_10)) = double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(inverse(X_10)))),
inference(subst,[],[refute_0_615:[bind(X_11,$fot(X_65)),bind(X_12,$fot(inverse(X_10)))]]) ).
cnf(refute_0_854,plain,
( inverse(inverse(X_10)) != X_10
| inverse(inverse(X_10)) != double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(inverse(X_10))))
| inverse(inverse(X_10)) = double_divide(inverse(X_65),double_divide(inverse(X_65),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_10)),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(inverse(X_10))))) ),[1,1,1],$fot(X_10)]]) ).
cnf(refute_0_855,plain,
( inverse(inverse(X_10)) != double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(inverse(X_10))))
| inverse(inverse(X_10)) = double_divide(inverse(X_65),double_divide(inverse(X_65),X_10)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_463,refute_0_854]) ).
cnf(refute_0_856,plain,
inverse(inverse(X_10)) = double_divide(inverse(X_65),double_divide(inverse(X_65),X_10)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),double_divide(inverse(X_65),double_divide(inverse(X_65),inverse(inverse(X_10))))) )],[refute_0_853,refute_0_855]) ).
cnf(refute_0_857,plain,
( inverse(inverse(X_10)) != X_10
| inverse(inverse(X_10)) != double_divide(inverse(X_65),double_divide(inverse(X_65),X_10))
| X_10 = double_divide(inverse(X_65),double_divide(inverse(X_65),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_10)),double_divide(inverse(X_65),double_divide(inverse(X_65),X_10))) ),[0],$fot(X_10)]]) ).
cnf(refute_0_858,plain,
( inverse(inverse(X_10)) != double_divide(inverse(X_65),double_divide(inverse(X_65),X_10))
| X_10 = double_divide(inverse(X_65),double_divide(inverse(X_65),X_10)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_463,refute_0_857]) ).
cnf(refute_0_859,plain,
X_10 = double_divide(inverse(X_65),double_divide(inverse(X_65),X_10)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),double_divide(inverse(X_65),double_divide(inverse(X_65),X_10))) )],[refute_0_856,refute_0_858]) ).
cnf(refute_0_860,plain,
X_69 = double_divide(inverse(inverse(X_10)),double_divide(inverse(inverse(X_10)),X_69)),
inference(subst,[],[refute_0_859:[bind(X_10,$fot(X_69)),bind(X_65,$fot(inverse(X_10)))]]) ).
cnf(refute_0_861,plain,
( X_69 != double_divide(inverse(inverse(X_10)),double_divide(inverse(inverse(X_10)),X_69))
| inverse(inverse(X_10)) != X_10
| X_69 = double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(X_69,double_divide(inverse(inverse(X_10)),double_divide(inverse(inverse(X_10)),X_69))) ),[1,1,0],$fot(X_10)]]) ).
cnf(refute_0_862,plain,
( X_69 != double_divide(inverse(inverse(X_10)),double_divide(inverse(inverse(X_10)),X_69))
| X_69 = double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_463,refute_0_861]) ).
cnf(refute_0_863,plain,
X_69 = double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)),
inference(resolve,[$cnf( $equal(X_69,double_divide(inverse(inverse(X_10)),double_divide(inverse(inverse(X_10)),X_69))) )],[refute_0_860,refute_0_862]) ).
cnf(refute_0_864,plain,
double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) = double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)))]]) ).
cnf(refute_0_865,plain,
( double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) != double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69))
| inverse(inverse(X_10)) != X_10
| double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) = double_divide(X_10,double_divide(X_10,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)),double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_866,plain,
( inverse(inverse(X_10)) != X_10
| double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) = double_divide(X_10,double_divide(X_10,X_69)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)),double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) = double_divide(X_10,double_divide(X_10,X_69)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_463,refute_0_866]) ).
cnf(refute_0_868,plain,
( X_69 != double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69))
| double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)) != double_divide(X_10,double_divide(X_10,X_69))
| X_69 = double_divide(X_10,double_divide(X_10,X_69)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_69,double_divide(X_10,double_divide(X_10,X_69))) ),[0],$fot(double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)))]]) ).
cnf(refute_0_869,plain,
( X_69 != double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69))
| X_69 = double_divide(X_10,double_divide(X_10,X_69)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69)),double_divide(X_10,double_divide(X_10,X_69))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
X_69 = double_divide(X_10,double_divide(X_10,X_69)),
inference(resolve,[$cnf( $equal(X_69,double_divide(inverse(inverse(X_10)),double_divide(X_10,X_69))) )],[refute_0_863,refute_0_869]) ).
cnf(refute_0_871,plain,
X_78 = double_divide(X_41,double_divide(X_41,X_78)),
inference(subst,[],[refute_0_870:[bind(X_10,$fot(X_41)),bind(X_69,$fot(X_78))]]) ).
cnf(refute_0_872,plain,
( X_78 != double_divide(X_41,double_divide(X_41,X_78))
| double_divide(X_41,double_divide(X_41,X_78)) = X_78 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_78)),bind(Y,$fot(double_divide(X_41,double_divide(X_41,X_78))))]]) ).
cnf(refute_0_873,plain,
double_divide(X_41,double_divide(X_41,X_78)) = X_78,
inference(resolve,[$cnf( $equal(X_78,double_divide(X_41,double_divide(X_41,X_78))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
( multiply(X_41,double_divide(X_41,double_divide(X_41,X_78))) != inverse(double_divide(X_41,X_78))
| double_divide(X_41,double_divide(X_41,X_78)) != X_78
| multiply(X_41,X_78) = inverse(double_divide(X_41,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_41,double_divide(X_41,double_divide(X_41,X_78))),inverse(double_divide(X_41,X_78))) ),[0,1],$fot(X_78)]]) ).
cnf(refute_0_875,plain,
( multiply(X_41,double_divide(X_41,double_divide(X_41,X_78))) != inverse(double_divide(X_41,X_78))
| multiply(X_41,X_78) = inverse(double_divide(X_41,X_78)) ),
inference(resolve,[$cnf( $equal(double_divide(X_41,double_divide(X_41,X_78)),X_78) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
multiply(X_41,X_78) = inverse(double_divide(X_41,X_78)),
inference(resolve,[$cnf( $equal(multiply(X_41,double_divide(X_41,double_divide(X_41,X_78))),inverse(double_divide(X_41,X_78))) )],[refute_0_852,refute_0_875]) ).
cnf(refute_0_877,plain,
inverse(double_divide(X_41,X_78)) = multiply(X_78,X_41),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_78)),bind(B,$fot(X_41))]]) ).
cnf(refute_0_878,plain,
( multiply(X_41,X_78) != inverse(double_divide(X_41,X_78))
| inverse(double_divide(X_41,X_78)) != multiply(X_78,X_41)
| multiply(X_41,X_78) = multiply(X_78,X_41) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_41,X_78),multiply(X_78,X_41)) ),[0],$fot(inverse(double_divide(X_41,X_78)))]]) ).
cnf(refute_0_879,plain,
( multiply(X_41,X_78) != inverse(double_divide(X_41,X_78))
| multiply(X_41,X_78) = multiply(X_78,X_41) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_41,X_78)),multiply(X_78,X_41)) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
multiply(X_41,X_78) = multiply(X_78,X_41),
inference(resolve,[$cnf( $equal(multiply(X_41,X_78),inverse(double_divide(X_41,X_78))) )],[refute_0_876,refute_0_879]) ).
cnf(refute_0_881,plain,
( multiply(X_41,X_78) != multiply(X_78,X_41)
| multiply(X_78,X_41) = multiply(X_41,X_78) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_41,X_78))),bind(Y,$fot(multiply(X_78,X_41)))]]) ).
cnf(refute_0_882,plain,
multiply(X_78,X_41) = multiply(X_41,X_78),
inference(resolve,[$cnf( $equal(multiply(X_41,X_78),multiply(X_78,X_41)) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
inference(subst,[],[refute_0_882:[bind(X_41,$fot(X_10)),bind(X_78,$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_884,plain,
inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_885,plain,
( multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10)
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Y,$fot(multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10))),bind(Z,$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_886,plain,
( multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10)) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))),X_10),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_883,refute_0_886]) ).
cnf(refute_0_888,plain,
double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_889,plain,
( double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))
| inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Z,$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_890,plain,
( inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
( multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(Y,$fot(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))),bind(Z,$fot(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_893,plain,
( multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) = multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))),multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))) )],[refute_0_851,refute_0_893]) ).
cnf(refute_0_895,plain,
double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))]]) ).
cnf(refute_0_896,plain,
( double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) ),[1,0],$fot(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_897,plain,
( double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))) != multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))
| double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12)))) )],[refute_0_894,refute_0_897]) ).
cnf(refute_0_899,plain,
inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),
inference(subst,[],[refute_0_527:[bind(A,$fot(double_divide(C,X_12))),bind(B,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))]]) ).
cnf(refute_0_900,plain,
double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),
inference(subst,[],[refute_0_498:[bind(X_15,$fot(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))]]) ).
cnf(refute_0_901,plain,
( double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))
| inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))),bind(Y,$fot(inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))]]) ).
cnf(refute_0_902,plain,
( inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),
inference(resolve,[$cnf( $equal(inverse(multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) )],[refute_0_899,refute_0_902]) ).
cnf(refute_0_904,plain,
multiply(X_89,multiply(inverse(X_89),double_divide(X_40,inverse(X_89)))) = double_divide(X_40,inverse(X_89)),
inference(subst,[],[refute_0_829:[bind(X_10,$fot(X_89)),bind(X_12,$fot(double_divide(X_40,inverse(X_89))))]]) ).
cnf(refute_0_905,plain,
double_divide(X_41,X_40) = double_divide(X_40,X_41),
inference(subst,[],[refute_0_702:[bind(X_65,$fot(X_40)),bind(X_66,$fot(X_41))]]) ).
cnf(refute_0_906,plain,
( multiply(X_41,double_divide(X_41,X_40)) != inverse(X_40)
| double_divide(X_41,X_40) != double_divide(X_40,X_41)
| multiply(X_41,double_divide(X_40,X_41)) = inverse(X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_41,double_divide(X_41,X_40)),inverse(X_40)) ),[0,1],$fot(double_divide(X_40,X_41))]]) ).
cnf(refute_0_907,plain,
( multiply(X_41,double_divide(X_41,X_40)) != inverse(X_40)
| multiply(X_41,double_divide(X_40,X_41)) = inverse(X_40) ),
inference(resolve,[$cnf( $equal(double_divide(X_41,X_40),double_divide(X_40,X_41)) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
multiply(X_41,double_divide(X_40,X_41)) = inverse(X_40),
inference(resolve,[$cnf( $equal(multiply(X_41,double_divide(X_41,X_40)),inverse(X_40)) )],[refute_0_535,refute_0_907]) ).
cnf(refute_0_909,plain,
multiply(inverse(X_89),double_divide(X_40,inverse(X_89))) = inverse(X_40),
inference(subst,[],[refute_0_908:[bind(X_41,$fot(inverse(X_89)))]]) ).
cnf(refute_0_910,plain,
( multiply(X_89,multiply(inverse(X_89),double_divide(X_40,inverse(X_89)))) != double_divide(X_40,inverse(X_89))
| multiply(inverse(X_89),double_divide(X_40,inverse(X_89))) != inverse(X_40)
| multiply(X_89,inverse(X_40)) = double_divide(X_40,inverse(X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_89,multiply(inverse(X_89),double_divide(X_40,inverse(X_89)))),double_divide(X_40,inverse(X_89))) ),[0,1],$fot(inverse(X_40))]]) ).
cnf(refute_0_911,plain,
( multiply(X_89,multiply(inverse(X_89),double_divide(X_40,inverse(X_89)))) != double_divide(X_40,inverse(X_89))
| multiply(X_89,inverse(X_40)) = double_divide(X_40,inverse(X_89)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_89),double_divide(X_40,inverse(X_89))),inverse(X_40)) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
multiply(X_89,inverse(X_40)) = double_divide(X_40,inverse(X_89)),
inference(resolve,[$cnf( $equal(multiply(X_89,multiply(inverse(X_89),double_divide(X_40,inverse(X_89)))),double_divide(X_40,inverse(X_89))) )],[refute_0_904,refute_0_911]) ).
cnf(refute_0_913,plain,
multiply(double_divide(B,A),inverse(X_91)) = double_divide(X_91,inverse(double_divide(B,A))),
inference(subst,[],[refute_0_912:[bind(X_40,$fot(X_91)),bind(X_89,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_914,plain,
( multiply(double_divide(B,A),inverse(X_91)) != double_divide(X_91,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(double_divide(B,A),inverse(X_91)) = double_divide(X_91,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(B,A),inverse(X_91)),double_divide(X_91,inverse(double_divide(B,A)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_915,plain,
( multiply(double_divide(B,A),inverse(X_91)) != double_divide(X_91,inverse(double_divide(B,A)))
| multiply(double_divide(B,A),inverse(X_91)) = double_divide(X_91,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_22,refute_0_914]) ).
cnf(refute_0_916,plain,
multiply(double_divide(B,A),inverse(X_91)) = double_divide(X_91,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(double_divide(B,A),inverse(X_91)),double_divide(X_91,inverse(double_divide(B,A)))) )],[refute_0_913,refute_0_915]) ).
cnf(refute_0_917,plain,
multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)) = double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),
inference(subst,[],[refute_0_916:[bind(A,$fot(double_divide(C,X_12))),bind(B,$fot(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),bind(X_91,$fot(identity))]]) ).
cnf(refute_0_918,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)) != double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))
| double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)))),bind(Y,$fot(double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))]]) ).
cnf(refute_0_919,plain,
( double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)),double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10)))))))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(C,X_12),double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) )],[refute_0_903,refute_0_919]) ).
cnf(refute_0_921,plain,
inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))) = multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)),
inference(subst,[],[refute_0_22:[bind(A,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))),bind(B,$fot(inverse(identity)))]]) ).
cnf(refute_0_922,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))) != multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))))),bind(Y,$fot(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))]]) ).
cnf(refute_0_923,plain,
( multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))),multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_463:[bind(X_10,$fot(X_3))]]) ).
cnf(refute_0_926,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| inverse(inverse(X_3)) != X_3
| multiply(identity,X_3) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,X_3),X_3) ),[0],$fot(inverse(inverse(X_3)))]]) ).
cnf(refute_0_927,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_203,refute_0_927]) ).
cnf(refute_0_929,plain,
multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) = inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))),
inference(subst,[],[refute_0_928:[bind(X_3,$fot(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))))]]) ).
cnf(refute_0_930,plain,
( multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) != inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))
| inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))))),bind(Y,$fot(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))]]) ).
cnf(refute_0_931,plain,
( inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))),inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) )],[refute_0_924,refute_0_931]) ).
cnf(refute_0_933,plain,
( multiply(X_89,inverse(X_40)) != double_divide(X_40,inverse(X_89))
| double_divide(X_40,inverse(X_89)) = multiply(X_89,inverse(X_40)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_89,inverse(X_40)))),bind(Y,$fot(double_divide(X_40,inverse(X_89))))]]) ).
cnf(refute_0_934,plain,
double_divide(X_40,inverse(X_89)) = multiply(X_89,inverse(X_40)),
inference(resolve,[$cnf( $equal(multiply(X_89,inverse(X_40)),double_divide(X_40,inverse(X_89))) )],[refute_0_912,refute_0_933]) ).
cnf(refute_0_935,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))),
inference(subst,[],[refute_0_934:[bind(X_40,$fot(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))),bind(X_89,$fot(identity))]]) ).
cnf(refute_0_936,plain,
( multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) != multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)))),bind(Y,$fot(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))]]) ).
cnf(refute_0_937,plain,
( multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)),multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))))),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) )],[refute_0_932,refute_0_937]) ).
cnf(refute_0_939,plain,
( double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) != double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) != double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)))),bind(Z,$fot(double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12))))]]) ).
cnf(refute_0_940,plain,
( double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)) != double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) = double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12)),double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12))) )],[refute_0_898,refute_0_940]) ).
cnf(refute_0_942,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) != double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12))
| double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)),C) ),[0],$fot(double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)))]]) ).
cnf(refute_0_943,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)) != C
| double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)),double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12))) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
double_divide(multiply(X_10,multiply(X_11,multiply(double_divide(X_11,X_10),X_12))),double_divide(C,X_12)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(X_10,double_divide(double_divide(identity,X_11),double_divide(X_12,double_divide(X_11,X_10))))),double_divide(C,X_12))),inverse(identity)),C) )],[refute_0_804,refute_0_943]) ).
cnf(refute_0_945,plain,
double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150)) = X_147,
inference(subst,[],[refute_0_944:[bind(C,$fot(X_147)),bind(X_10,$fot(X_148)),bind(X_11,$fot(X_149)),bind(X_12,$fot(X_150))]]) ).
cnf(refute_0_946,plain,
( double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150)) != X_147
| double_divide(double_divide(X_147,X_150),double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150))) != multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))
| double_divide(double_divide(X_147,X_150),X_147) = multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_147,X_150),double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150))),multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))) ),[0,1],$fot(X_147)]]) ).
cnf(refute_0_947,plain,
( double_divide(double_divide(X_147,X_150),double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150))) != multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))
| double_divide(double_divide(X_147,X_150),X_147) = multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150)),X_147) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
double_divide(double_divide(X_147,X_150),X_147) = multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_147,X_150),double_divide(multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),double_divide(X_147,X_150))),multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))) )],[refute_0_799,refute_0_947]) ).
cnf(refute_0_949,plain,
double_divide(X_147,double_divide(X_150,X_147)) = X_150,
inference(subst,[],[refute_0_798:[bind(C,$fot(X_150)),bind(X_14,$fot(X_147))]]) ).
cnf(refute_0_950,plain,
double_divide(X_66,double_divide(X_123,X_124)) = double_divide(double_divide(X_123,X_124),X_66),
inference(subst,[],[refute_0_702:[bind(X_65,$fot(double_divide(X_123,X_124)))]]) ).
cnf(refute_0_951,plain,
multiply(multiply(X_97,X_98),inverse(X_40)) = double_divide(inverse(multiply(X_97,X_98)),X_40),
inference(subst,[],[refute_0_834:[bind(X_89,$fot(multiply(X_97,X_98)))]]) ).
cnf(refute_0_952,plain,
inverse(multiply(X_97,X_98)) = double_divide(X_98,X_97),
inference(subst,[],[refute_0_527:[bind(A,$fot(X_97)),bind(B,$fot(X_98))]]) ).
cnf(refute_0_953,plain,
( multiply(multiply(X_97,X_98),inverse(X_40)) != double_divide(inverse(multiply(X_97,X_98)),X_40)
| inverse(multiply(X_97,X_98)) != double_divide(X_98,X_97)
| multiply(multiply(X_97,X_98),inverse(X_40)) = double_divide(double_divide(X_98,X_97),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_97,X_98),inverse(X_40)),double_divide(inverse(multiply(X_97,X_98)),X_40)) ),[1,0],$fot(double_divide(X_98,X_97))]]) ).
cnf(refute_0_954,plain,
( multiply(multiply(X_97,X_98),inverse(X_40)) != double_divide(inverse(multiply(X_97,X_98)),X_40)
| multiply(multiply(X_97,X_98),inverse(X_40)) = double_divide(double_divide(X_98,X_97),X_40) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_97,X_98)),double_divide(X_98,X_97)) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
multiply(multiply(X_97,X_98),inverse(X_40)) = double_divide(double_divide(X_98,X_97),X_40),
inference(resolve,[$cnf( $equal(multiply(multiply(X_97,X_98),inverse(X_40)),double_divide(inverse(multiply(X_97,X_98)),X_40)) )],[refute_0_951,refute_0_954]) ).
cnf(refute_0_956,plain,
multiply(multiply(X_120,X_121),inverse(X_119)) = double_divide(double_divide(X_121,X_120),X_119),
inference(subst,[],[refute_0_955:[bind(X_40,$fot(X_119)),bind(X_97,$fot(X_120)),bind(X_98,$fot(X_121))]]) ).
cnf(refute_0_957,plain,
multiply(X_121,X_120) = multiply(X_120,X_121),
inference(subst,[],[refute_0_880:[bind(X_41,$fot(X_121)),bind(X_78,$fot(X_120))]]) ).
cnf(refute_0_958,plain,
( multiply(X_121,X_120) != multiply(X_120,X_121)
| multiply(X_120,X_121) = multiply(X_121,X_120) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_121,X_120))),bind(Y,$fot(multiply(X_120,X_121)))]]) ).
cnf(refute_0_959,plain,
multiply(X_120,X_121) = multiply(X_121,X_120),
inference(resolve,[$cnf( $equal(multiply(X_121,X_120),multiply(X_120,X_121)) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
( multiply(X_120,X_121) != multiply(X_121,X_120)
| multiply(multiply(X_120,X_121),inverse(X_119)) != double_divide(double_divide(X_121,X_120),X_119)
| multiply(multiply(X_121,X_120),inverse(X_119)) = double_divide(double_divide(X_121,X_120),X_119) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_120,X_121),inverse(X_119)),double_divide(double_divide(X_121,X_120),X_119)) ),[0,0],$fot(multiply(X_121,X_120))]]) ).
cnf(refute_0_961,plain,
( multiply(multiply(X_120,X_121),inverse(X_119)) != double_divide(double_divide(X_121,X_120),X_119)
| multiply(multiply(X_121,X_120),inverse(X_119)) = double_divide(double_divide(X_121,X_120),X_119) ),
inference(resolve,[$cnf( $equal(multiply(X_120,X_121),multiply(X_121,X_120)) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
multiply(multiply(X_121,X_120),inverse(X_119)) = double_divide(double_divide(X_121,X_120),X_119),
inference(resolve,[$cnf( $equal(multiply(multiply(X_120,X_121),inverse(X_119)),double_divide(double_divide(X_121,X_120),X_119)) )],[refute_0_956,refute_0_961]) ).
cnf(refute_0_963,plain,
multiply(multiply(X_121,X_120),inverse(X_119)) = double_divide(double_divide(X_120,X_121),X_119),
inference(subst,[],[refute_0_955:[bind(X_40,$fot(X_119)),bind(X_97,$fot(X_121)),bind(X_98,$fot(X_120))]]) ).
cnf(refute_0_964,plain,
( multiply(multiply(X_121,X_120),inverse(X_119)) != double_divide(double_divide(X_120,X_121),X_119)
| multiply(multiply(X_121,X_120),inverse(X_119)) != double_divide(double_divide(X_121,X_120),X_119)
| double_divide(double_divide(X_120,X_121),X_119) = double_divide(double_divide(X_121,X_120),X_119) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_121,X_120),inverse(X_119)),double_divide(double_divide(X_121,X_120),X_119)) ),[0],$fot(double_divide(double_divide(X_120,X_121),X_119))]]) ).
cnf(refute_0_965,plain,
( multiply(multiply(X_121,X_120),inverse(X_119)) != double_divide(double_divide(X_121,X_120),X_119)
| double_divide(double_divide(X_120,X_121),X_119) = double_divide(double_divide(X_121,X_120),X_119) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_121,X_120),inverse(X_119)),double_divide(double_divide(X_120,X_121),X_119)) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
double_divide(double_divide(X_120,X_121),X_119) = double_divide(double_divide(X_121,X_120),X_119),
inference(resolve,[$cnf( $equal(multiply(multiply(X_121,X_120),inverse(X_119)),double_divide(double_divide(X_121,X_120),X_119)) )],[refute_0_962,refute_0_965]) ).
cnf(refute_0_967,plain,
double_divide(double_divide(X_123,X_124),X_66) = double_divide(double_divide(X_124,X_123),X_66),
inference(subst,[],[refute_0_966:[bind(X_119,$fot(X_66)),bind(X_120,$fot(X_123)),bind(X_121,$fot(X_124))]]) ).
cnf(refute_0_968,plain,
( double_divide(X_66,double_divide(X_123,X_124)) != double_divide(double_divide(X_123,X_124),X_66)
| double_divide(double_divide(X_123,X_124),X_66) != double_divide(double_divide(X_124,X_123),X_66)
| double_divide(X_66,double_divide(X_123,X_124)) = double_divide(double_divide(X_124,X_123),X_66) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_66,double_divide(X_123,X_124)),double_divide(double_divide(X_124,X_123),X_66)) ),[0],$fot(double_divide(double_divide(X_123,X_124),X_66))]]) ).
cnf(refute_0_969,plain,
( double_divide(X_66,double_divide(X_123,X_124)) != double_divide(double_divide(X_123,X_124),X_66)
| double_divide(X_66,double_divide(X_123,X_124)) = double_divide(double_divide(X_124,X_123),X_66) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_123,X_124),X_66),double_divide(double_divide(X_124,X_123),X_66)) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
double_divide(X_66,double_divide(X_123,X_124)) = double_divide(double_divide(X_124,X_123),X_66),
inference(resolve,[$cnf( $equal(double_divide(X_66,double_divide(X_123,X_124)),double_divide(double_divide(X_123,X_124),X_66)) )],[refute_0_950,refute_0_969]) ).
cnf(refute_0_971,plain,
( double_divide(X_66,double_divide(X_123,X_124)) != double_divide(double_divide(X_124,X_123),X_66)
| double_divide(double_divide(X_124,X_123),X_66) = double_divide(X_66,double_divide(X_123,X_124)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_66,double_divide(X_123,X_124)))),bind(Y,$fot(double_divide(double_divide(X_124,X_123),X_66)))]]) ).
cnf(refute_0_972,plain,
double_divide(double_divide(X_124,X_123),X_66) = double_divide(X_66,double_divide(X_123,X_124)),
inference(resolve,[$cnf( $equal(double_divide(X_66,double_divide(X_123,X_124)),double_divide(double_divide(X_124,X_123),X_66)) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
double_divide(double_divide(X_147,X_150),X_147) = double_divide(X_147,double_divide(X_150,X_147)),
inference(subst,[],[refute_0_972:[bind(X_123,$fot(X_150)),bind(X_124,$fot(X_147)),bind(X_66,$fot(X_147))]]) ).
cnf(refute_0_974,plain,
( double_divide(X_147,double_divide(X_150,X_147)) != X_150
| double_divide(double_divide(X_147,X_150),X_147) != double_divide(X_147,double_divide(X_150,X_147))
| double_divide(double_divide(X_147,X_150),X_147) = X_150 ),
inference(subst,[],[refute_0_26:[bind(X,$fot(double_divide(double_divide(X_147,X_150),X_147))),bind(Y,$fot(double_divide(X_147,double_divide(X_150,X_147)))),bind(Z,$fot(X_150))]]) ).
cnf(refute_0_975,plain,
( double_divide(X_147,double_divide(X_150,X_147)) != X_150
| double_divide(double_divide(X_147,X_150),X_147) = X_150 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_147,X_150),X_147),double_divide(X_147,double_divide(X_150,X_147))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
double_divide(double_divide(X_147,X_150),X_147) = X_150,
inference(resolve,[$cnf( $equal(double_divide(X_147,double_divide(X_150,X_147)),X_150) )],[refute_0_949,refute_0_975]) ).
cnf(refute_0_977,plain,
( double_divide(double_divide(X_147,X_150),X_147) != X_150
| double_divide(double_divide(X_147,X_150),X_147) != multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))
| X_150 = multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_147,X_150),X_147),multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))) ),[0],$fot(X_150)]]) ).
cnf(refute_0_978,plain,
( double_divide(double_divide(X_147,X_150),X_147) != multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))
| X_150 = multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_147,X_150),X_147),X_150) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
X_150 = multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_147,X_150),X_147),multiply(X_148,multiply(X_149,multiply(double_divide(X_149,X_148),X_150)))) )],[refute_0_948,refute_0_978]) ).
cnf(refute_0_980,plain,
multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_151,multiply(X_152,multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151)))))),
inference(subst,[],[refute_0_979:[bind(X_148,$fot(X_151)),bind(X_149,$fot(X_152)),bind(X_150,$fot(multiply(X_82,inverse(double_divide(X_152,X_151)))))]]) ).
cnf(refute_0_981,plain,
multiply(X_15,identity) = X_15,
inference(subst,[],[refute_0_522:[bind(X_12,$fot(X_15))]]) ).
cnf(refute_0_982,plain,
multiply(multiply(X_15,identity),X_33) = multiply(multiply(X_15,identity),X_33),
introduced(tautology,[refl,[$fot(multiply(multiply(X_15,identity),X_33))]]) ).
cnf(refute_0_983,plain,
( multiply(X_15,identity) != X_15
| multiply(multiply(X_15,identity),X_33) != multiply(multiply(X_15,identity),X_33)
| multiply(multiply(X_15,identity),X_33) = multiply(X_15,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,identity),X_33),multiply(multiply(X_15,identity),X_33)) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_984,plain,
( multiply(X_15,identity) != X_15
| multiply(multiply(X_15,identity),X_33) = multiply(X_15,X_33) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,identity),X_33),multiply(multiply(X_15,identity),X_33)) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
multiply(multiply(X_15,identity),X_33) = multiply(X_15,X_33),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),X_15) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
inverse(inverse(multiply(multiply(X_15,identity),X_33))) = multiply(multiply(X_15,identity),X_33),
inference(subst,[],[refute_0_463:[bind(X_10,$fot(multiply(multiply(X_15,identity),X_33)))]]) ).
cnf(refute_0_987,plain,
( multiply(multiply(X_15,identity),X_33) != multiply(X_15,X_33)
| inverse(inverse(multiply(multiply(X_15,identity),X_33))) != multiply(multiply(X_15,identity),X_33)
| inverse(inverse(multiply(multiply(X_15,identity),X_33))) = multiply(X_15,X_33) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(inverse(inverse(multiply(multiply(X_15,identity),X_33))))),bind(Y,$fot(multiply(multiply(X_15,identity),X_33))),bind(Z,$fot(multiply(X_15,X_33)))]]) ).
cnf(refute_0_988,plain,
( multiply(multiply(X_15,identity),X_33) != multiply(X_15,X_33)
| inverse(inverse(multiply(multiply(X_15,identity),X_33))) = multiply(X_15,X_33) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_15,identity),X_33))),multiply(multiply(X_15,identity),X_33)) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
inverse(inverse(multiply(multiply(X_15,identity),X_33))) = multiply(X_15,X_33),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,identity),X_33),multiply(X_15,X_33)) )],[refute_0_985,refute_0_988]) ).
cnf(refute_0_990,plain,
multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) = multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)))]]) ).
cnf(refute_0_991,plain,
( multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) != multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15))
| inverse(inverse(multiply(multiply(X_15,identity),X_33))) != multiply(X_15,X_33)
| multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) = multiply(multiply(X_15,X_33),inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)),multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15))) ),[1,0],$fot(multiply(X_15,X_33))]]) ).
cnf(refute_0_992,plain,
( inverse(inverse(multiply(multiply(X_15,identity),X_33))) != multiply(X_15,X_33)
| multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) = multiply(multiply(X_15,X_33),inverse(X_15)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)),multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) = multiply(multiply(X_15,X_33),inverse(X_15)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(multiply(X_15,identity),X_33))),multiply(X_15,X_33)) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
( multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) != X_33
| multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) != multiply(multiply(X_15,X_33),inverse(X_15))
| multiply(multiply(X_15,X_33),inverse(X_15)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)),X_33) ),[0],$fot(multiply(multiply(X_15,X_33),inverse(X_15)))]]) ).
cnf(refute_0_995,plain,
( multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)) != X_33
| multiply(multiply(X_15,X_33),inverse(X_15)) = X_33 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)),multiply(multiply(X_15,X_33),inverse(X_15))) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
multiply(multiply(X_15,X_33),inverse(X_15)) = X_33,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(multiply(X_15,identity),X_33))),inverse(X_15)),X_33) )],[refute_0_220,refute_0_995]) ).
cnf(refute_0_997,plain,
multiply(multiply(X_15,X_33),inverse(X_15)) = multiply(inverse(X_15),multiply(X_15,X_33)),
inference(subst,[],[refute_0_712:[bind(A,$fot(inverse(X_15))),bind(B,$fot(multiply(X_15,X_33)))]]) ).
cnf(refute_0_998,plain,
( multiply(multiply(X_15,X_33),inverse(X_15)) != X_33
| multiply(multiply(X_15,X_33),inverse(X_15)) != multiply(inverse(X_15),multiply(X_15,X_33))
| multiply(inverse(X_15),multiply(X_15,X_33)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_15,X_33),inverse(X_15)),X_33) ),[0],$fot(multiply(inverse(X_15),multiply(X_15,X_33)))]]) ).
cnf(refute_0_999,plain,
( multiply(multiply(X_15,X_33),inverse(X_15)) != X_33
| multiply(inverse(X_15),multiply(X_15,X_33)) = X_33 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,X_33),inverse(X_15)),multiply(inverse(X_15),multiply(X_15,X_33))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
multiply(inverse(X_15),multiply(X_15,X_33)) = X_33,
inference(resolve,[$cnf( $equal(multiply(multiply(X_15,X_33),inverse(X_15)),X_33) )],[refute_0_996,refute_0_999]) ).
cnf(refute_0_1001,plain,
multiply(X_15,X_33) = multiply(X_33,X_15),
inference(subst,[],[refute_0_880:[bind(X_41,$fot(X_15)),bind(X_78,$fot(X_33))]]) ).
cnf(refute_0_1002,plain,
( multiply(X_15,X_33) != multiply(X_33,X_15)
| multiply(inverse(X_15),multiply(X_15,X_33)) != X_33
| multiply(inverse(X_15),multiply(X_33,X_15)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),multiply(X_15,X_33)),X_33) ),[0,1],$fot(multiply(X_33,X_15))]]) ).
cnf(refute_0_1003,plain,
( multiply(inverse(X_15),multiply(X_15,X_33)) != X_33
| multiply(inverse(X_15),multiply(X_33,X_15)) = X_33 ),
inference(resolve,[$cnf( $equal(multiply(X_15,X_33),multiply(X_33,X_15)) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
multiply(inverse(X_15),multiply(X_33,X_15)) = X_33,
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),multiply(X_15,X_33)),X_33) )],[refute_0_1000,refute_0_1003]) ).
cnf(refute_0_1005,plain,
multiply(inverse(inverse(X_10)),multiply(X_82,inverse(X_10))) = X_82,
inference(subst,[],[refute_0_1004:[bind(X_15,$fot(inverse(X_10))),bind(X_33,$fot(X_82))]]) ).
cnf(refute_0_1006,plain,
( multiply(inverse(inverse(X_10)),multiply(X_82,inverse(X_10))) != X_82
| inverse(inverse(X_10)) != X_10
| multiply(X_10,multiply(X_82,inverse(X_10))) = X_82 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_82,inverse(X_10))),X_82) ),[0,0],$fot(X_10)]]) ).
cnf(refute_0_1007,plain,
( multiply(inverse(inverse(X_10)),multiply(X_82,inverse(X_10))) != X_82
| multiply(X_10,multiply(X_82,inverse(X_10))) = X_82 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_463,refute_0_1006]) ).
cnf(refute_0_1008,plain,
multiply(X_10,multiply(X_82,inverse(X_10))) = X_82,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_82,inverse(X_10))),X_82) )],[refute_0_1005,refute_0_1007]) ).
cnf(refute_0_1009,plain,
multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151)))) = X_82,
inference(subst,[],[refute_0_1008:[bind(X_10,$fot(double_divide(X_152,X_151)))]]) ).
cnf(refute_0_1010,plain,
( multiply(X_82,inverse(double_divide(X_152,X_151))) != multiply(X_151,multiply(X_152,multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151))))))
| multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151)))) != X_82
| multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_151,multiply(X_152,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,inverse(double_divide(X_152,X_151))),multiply(X_151,multiply(X_152,multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151))))))) ),[1,1,1],$fot(X_82)]]) ).
cnf(refute_0_1011,plain,
( multiply(X_82,inverse(double_divide(X_152,X_151))) != multiply(X_151,multiply(X_152,multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151))))))
| multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_151,multiply(X_152,X_82)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151)))),X_82) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_151,multiply(X_152,X_82)),
inference(resolve,[$cnf( $equal(multiply(X_82,inverse(double_divide(X_152,X_151))),multiply(X_151,multiply(X_152,multiply(double_divide(X_152,X_151),multiply(X_82,inverse(double_divide(X_152,X_151))))))) )],[refute_0_980,refute_0_1011]) ).
cnf(refute_0_1013,plain,
inverse(double_divide(X_152,X_151)) = multiply(X_151,X_152),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_151)),bind(B,$fot(X_152))]]) ).
cnf(refute_0_1014,plain,
multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_82,inverse(double_divide(X_152,X_151))),
introduced(tautology,[refl,[$fot(multiply(X_82,inverse(double_divide(X_152,X_151))))]]) ).
cnf(refute_0_1015,plain,
( multiply(X_82,inverse(double_divide(X_152,X_151))) != multiply(X_82,inverse(double_divide(X_152,X_151)))
| inverse(double_divide(X_152,X_151)) != multiply(X_151,X_152)
| multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_82,multiply(X_151,X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,inverse(double_divide(X_152,X_151))),multiply(X_82,inverse(double_divide(X_152,X_151)))) ),[1,1],$fot(multiply(X_151,X_152))]]) ).
cnf(refute_0_1016,plain,
( inverse(double_divide(X_152,X_151)) != multiply(X_151,X_152)
| multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_82,multiply(X_151,X_152)) ),
inference(resolve,[$cnf( $equal(multiply(X_82,inverse(double_divide(X_152,X_151))),multiply(X_82,inverse(double_divide(X_152,X_151)))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
multiply(X_82,inverse(double_divide(X_152,X_151))) = multiply(X_82,multiply(X_151,X_152)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_152,X_151)),multiply(X_151,X_152)) )],[refute_0_1013,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( multiply(X_82,inverse(double_divide(X_152,X_151))) != multiply(X_151,multiply(X_152,X_82))
| multiply(X_82,inverse(double_divide(X_152,X_151))) != multiply(X_82,multiply(X_151,X_152))
| multiply(X_82,multiply(X_151,X_152)) = multiply(X_151,multiply(X_152,X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,inverse(double_divide(X_152,X_151))),multiply(X_151,multiply(X_152,X_82))) ),[0],$fot(multiply(X_82,multiply(X_151,X_152)))]]) ).
cnf(refute_0_1019,plain,
( multiply(X_82,inverse(double_divide(X_152,X_151))) != multiply(X_151,multiply(X_152,X_82))
| multiply(X_82,multiply(X_151,X_152)) = multiply(X_151,multiply(X_152,X_82)) ),
inference(resolve,[$cnf( $equal(multiply(X_82,inverse(double_divide(X_152,X_151))),multiply(X_82,multiply(X_151,X_152))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
multiply(X_82,multiply(X_151,X_152)) = multiply(X_151,multiply(X_152,X_82)),
inference(resolve,[$cnf( $equal(multiply(X_82,inverse(double_divide(X_152,X_151))),multiply(X_151,multiply(X_152,X_82))) )],[refute_0_1012,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( multiply(X_82,multiply(X_151,X_152)) != multiply(X_151,multiply(X_152,X_82))
| multiply(X_151,multiply(X_152,X_82)) = multiply(X_82,multiply(X_151,X_152)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_82,multiply(X_151,X_152)))),bind(Y,$fot(multiply(X_151,multiply(X_152,X_82))))]]) ).
cnf(refute_0_1022,plain,
multiply(X_151,multiply(X_152,X_82)) = multiply(X_82,multiply(X_151,X_152)),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_151,X_152)),multiply(X_151,multiply(X_152,X_82))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
multiply(b3,multiply(c3,a3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_1022:[bind(X_151,$fot(b3)),bind(X_152,$fot(c3)),bind(X_82,$fot(a3))]]) ).
cnf(refute_0_1024,plain,
multiply(c3,multiply(a3,b3)) = multiply(b3,multiply(c3,a3)),
inference(subst,[],[refute_0_1022:[bind(X_151,$fot(c3)),bind(X_152,$fot(a3)),bind(X_82,$fot(b3))]]) ).
cnf(refute_0_1025,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(b3,multiply(c3,a3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(multiply(c3,multiply(a3,b3)))),bind(Y,$fot(multiply(b3,multiply(c3,a3)))),bind(Z,$fot(multiply(a3,multiply(b3,c3))))]]) ).
cnf(refute_0_1026,plain,
( multiply(b3,multiply(c3,a3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(b3,multiply(c3,a3))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(b3,multiply(c3,a3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1029,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1029,refute_0_716]) ).
cnf(refute_0_1031,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1032,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1031,refute_0_1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP583-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 21:19:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.77/0.95 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95
% 0.77/0.95 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.89/1.08
%------------------------------------------------------------------------------