TSTP Solution File: GRP576-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.46s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 83
% Number of leaves : 154
% Syntax : Number of clauses : 579 ( 290 unt; 0 nHn; 309 RR)
% Number of literals : 1002 (1001 equ; 425 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 1085 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = B ).
cnf(multiply,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity) ).
cnf(inverse,axiom,
inverse(A) = double_divide(A,identity) ).
cnf(identity,axiom,
identity = double_divide(A,inverse(A)) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$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(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)))]]) ).
cnf(refute_0_11,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_12,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
double_divide(C,identity) = inverse(C),
inference(subst,[],[refute_0_4:[bind(A,$fot(C))]]) ).
cnf(refute_0_15,plain,
double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))]]) ).
cnf(refute_0_16,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_17,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(C,A)),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))))]]) ).
cnf(refute_0_20,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))
| double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))) ),[1,1],$fot(double_divide(double_divide(B,double_divide(C,A)),inverse(C)))]]) ).
cnf(refute_0_21,plain,
( double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(C,A)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(C,A)),inverse(C))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_24,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))))]]) ).
cnf(refute_0_25,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C)))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_28,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_27]) ).
cnf(refute_0_29,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)))),bind(Z,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))))]]) ).
cnf(refute_0_30,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))) )],[refute_0_13,refute_0_30]) ).
cnf(refute_0_32,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),B) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)))]]) ).
cnf(refute_0_33,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),inverse(C))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(C,A)),double_divide(C,identity))),double_divide(identity,identity)),B) )],[single_axiom,refute_0_33]) ).
cnf(refute_0_35,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_34:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_36,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_37,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_36]) ).
cnf(refute_0_38,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)),X_11) ),[0,0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_39,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),inverse(double_divide(B,A)))),inverse(identity)),X_11) )],[refute_0_35,refute_0_39]) ).
cnf(refute_0_41,plain,
inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(subst,[],[refute_0_37:[bind(A,$fot(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))))]]) ).
cnf(refute_0_43,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))))
| inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_44,plain,
( inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)))),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),
inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(inverse(inverse(X_15)))))]]) ).
cnf(refute_0_47,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_34:[bind(A,$fot(inverse(X_12))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_48,plain,
identity = double_divide(X_12,inverse(X_12)),
inference(subst,[],[identity:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_49,plain,
( identity != double_divide(X_12,inverse(X_12))
| double_divide(X_12,inverse(X_12)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_12,inverse(X_12))))]]) ).
cnf(refute_0_50,plain,
double_divide(X_12,inverse(X_12)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_12,inverse(X_12))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( double_divide(X_12,inverse(X_12)) != identity
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_52,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(X_12)),identity) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,double_divide(X_12,inverse(X_12))),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_47,refute_0_52]) ).
cnf(refute_0_54,plain,
double_divide(X_11,identity) = inverse(X_11),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_55,plain,
double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(double_divide(X_11,identity),inverse(X_12)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(X_12)))]]) ).
cnf(refute_0_56,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(double_divide(X_11,identity),inverse(X_12))
| double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_57,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(double_divide(X_11,identity),inverse(X_12))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(double_divide(X_11,identity),inverse(X_12)) = double_divide(inverse(X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))))]]) ).
cnf(refute_0_60,plain,
( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) ),[1,1],$fot(double_divide(inverse(X_11),inverse(X_12)))]]) ).
cnf(refute_0_61,plain,
( double_divide(double_divide(X_11,identity),inverse(X_12)) != double_divide(inverse(X_11),inverse(X_12))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(X_12)),double_divide(inverse(X_11),inverse(X_12))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_64,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))
| double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))))]]) ).
cnf(refute_0_65,plain,
( double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) = double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)))]]) ).
cnf(refute_0_68,plain,
( double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(double_divide(X_11,identity),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_53,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) = X_13,
inference(subst,[],[refute_0_69:[bind(X_11,$fot(X_13)),bind(X_12,$fot(inverse(X_13)))]]) ).
cnf(refute_0_71,plain,
identity = double_divide(inverse(X_13),inverse(inverse(X_13))),
inference(subst,[],[identity:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_72,plain,
( identity != double_divide(inverse(X_13),inverse(inverse(X_13)))
| double_divide(inverse(X_13),inverse(inverse(X_13))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(X_13),inverse(inverse(X_13)))))]]) ).
cnf(refute_0_73,plain,
double_divide(inverse(X_13),inverse(inverse(X_13))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_13),inverse(inverse(X_13)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(inverse(X_13))) != identity
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_75,plain,
( double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)) != X_13
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(inverse(X_13))),identity) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),double_divide(inverse(X_13),inverse(inverse(X_13)))),inverse(identity)),X_13) )],[refute_0_70,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(inverse(inverse(X_13)),identity) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_78,plain,
double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)))]]) ).
cnf(refute_0_79,plain,
( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))
| double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))) ),[1,0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_80,plain,
( double_divide(inverse(inverse(X_13)),identity) != inverse(inverse(inverse(X_13)))
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_13)),identity),inverse(inverse(inverse(X_13)))) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != X_13
| double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),inverse(identity))
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),X_13) ),[0],$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))]]) ).
cnf(refute_0_83,plain,
( double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)) != X_13
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_13)),identity),inverse(identity)),X_13) )],[refute_0_76,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) = X_15,
inference(subst,[],[refute_0_84:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_86,plain,
( multiply(inverse(identity),inverse(inverse(inverse(X_15)))) != inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))
| double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) != X_15
| multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(X_15)))),inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_87,plain,
( multiply(inverse(identity),inverse(inverse(inverse(X_15)))) != inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))
| multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)),X_15) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(inverse(identity),inverse(inverse(inverse(X_15)))) = inverse(X_15),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(X_15)))),inverse(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)))) )],[refute_0_46,refute_0_87]) ).
cnf(refute_0_89,plain,
multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))) = inverse(inverse(inverse(identity))),
inference(subst,[],[refute_0_88:[bind(X_15,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_90,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_91,plain,
multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
inference(subst,[],[refute_0_8:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_92,plain,
( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
| inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_93,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).
cnf(refute_0_95,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_90,refute_0_95]) ).
cnf(refute_0_97,plain,
identity = double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity))),
inference(subst,[],[refute_0_96:[bind(X_2,$fot(inverse(identity))),bind(X_3,$fot(inverse(identity)))]]) ).
cnf(refute_0_98,plain,
multiply(inverse(identity),inverse(identity)) = inverse(double_divide(inverse(identity),inverse(identity))),
inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(identity)))]]) ).
cnf(refute_0_99,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_34:[bind(A,$fot(identity)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_100,plain,
inverse(X_12) = double_divide(X_12,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_101,plain,
( inverse(X_12) != double_divide(X_12,identity)
| double_divide(X_12,identity) = inverse(X_12) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(double_divide(X_12,identity)))]]) ).
cnf(refute_0_102,plain,
double_divide(X_12,identity) = inverse(X_12),
inference(resolve,[$cnf( $equal(inverse(X_12),double_divide(X_12,identity)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( double_divide(X_12,identity) != inverse(X_12)
| double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(inverse(X_12))]]) ).
cnf(refute_0_104,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_12,identity),inverse(X_12)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_11,inverse(X_12)),inverse(X_12))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_11,double_divide(X_12,identity)),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_99,refute_0_104]) ).
cnf(refute_0_106,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)) = X_18,
inference(subst,[],[refute_0_105:[bind(X_11,$fot(X_18)),bind(X_12,$fot(X_18))]]) ).
cnf(refute_0_107,plain,
identity = double_divide(X_18,inverse(X_18)),
inference(subst,[],[identity:[bind(A,$fot(X_18))]]) ).
cnf(refute_0_108,plain,
( identity != double_divide(X_18,inverse(X_18))
| double_divide(X_18,inverse(X_18)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_18,inverse(X_18))))]]) ).
cnf(refute_0_109,plain,
double_divide(X_18,inverse(X_18)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_18,inverse(X_18))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( double_divide(X_18,inverse(X_18)) != identity
| double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)) != X_18
| double_divide(double_divide(identity,double_divide(identity,inverse(X_18))),inverse(identity)) = X_18 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)),X_18) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_111,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)) != X_18
| double_divide(double_divide(identity,double_divide(identity,inverse(X_18))),inverse(identity)) = X_18 ),
inference(resolve,[$cnf( $equal(double_divide(X_18,inverse(X_18)),identity) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_18))),inverse(identity)) = X_18,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_18,inverse(X_18)),inverse(X_18))),inverse(identity)),X_18) )],[refute_0_106,refute_0_111]) ).
cnf(refute_0_113,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = identity,
inference(subst,[],[refute_0_112:[bind(X_18,$fot(identity))]]) ).
cnf(refute_0_114,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_115,plain,
( identity != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_116,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_118,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),identity) )],[refute_0_113,refute_0_118]) ).
cnf(refute_0_120,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(double_divide(identity,identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,identity),inverse(identity)))]]) ).
cnf(refute_0_121,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(double_divide(identity,identity),inverse(identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_122,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(double_divide(identity,identity),inverse(identity))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = double_divide(inverse(identity),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_122]) ).
cnf(refute_0_124,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != double_divide(inverse(identity),inverse(identity))
| double_divide(double_divide(identity,identity),inverse(identity)) != identity
| double_divide(inverse(identity),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) ),[0],$fot(double_divide(inverse(identity),inverse(identity)))]]) ).
cnf(refute_0_125,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != identity
| double_divide(inverse(identity),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),double_divide(inverse(identity),inverse(identity))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),identity) )],[refute_0_119,refute_0_125]) ).
cnf(refute_0_127,plain,
( multiply(inverse(identity),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(identity)))
| double_divide(inverse(identity),inverse(identity)) != identity
| multiply(inverse(identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(double_divide(inverse(identity),inverse(identity)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_128,plain,
( multiply(inverse(identity),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(identity)))
| multiply(inverse(identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
multiply(inverse(identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(double_divide(inverse(identity),inverse(identity)))) )],[refute_0_98,refute_0_128]) ).
cnf(refute_0_130,plain,
( multiply(inverse(identity),inverse(identity)) != inverse(identity)
| identity != double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))
| identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_131,plain,
( identity != double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))
| identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
identity = double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),multiply(inverse(identity),inverse(identity)))) )],[refute_0_97,refute_0_131]) ).
cnf(refute_0_133,plain,
double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) = inverse(inverse(X_15)),
inference(subst,[],[refute_0_69:[bind(X_11,$fot(inverse(inverse(X_15)))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_134,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) != inverse(inverse(X_15))
| double_divide(inverse(inverse(inverse(X_15))),inverse(identity)) != X_15
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)),inverse(inverse(X_15))) ),[0,0,1],$fot(X_15)]]) ).
cnf(refute_0_135,plain,
( double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)) != inverse(inverse(X_15))
| double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_15))),inverse(identity)),X_15) )],[refute_0_85,refute_0_134]) ).
cnf(refute_0_136,plain,
double_divide(double_divide(inverse(identity),X_15),inverse(identity)) = inverse(inverse(X_15)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(inverse(inverse(inverse(X_15))),inverse(identity))),inverse(identity)),inverse(inverse(X_15))) )],[refute_0_133,refute_0_135]) ).
cnf(refute_0_137,plain,
double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) = inverse(inverse(inverse(identity))),
inference(subst,[],[refute_0_136:[bind(X_15,$fot(inverse(identity)))]]) ).
cnf(refute_0_138,plain,
( double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)) != inverse(inverse(inverse(identity)))
| identity != double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))
| identity = inverse(inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))) ),[1],$fot(inverse(inverse(inverse(identity))))]]) ).
cnf(refute_0_139,plain,
( identity != double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))
| identity = inverse(inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity)),inverse(inverse(inverse(identity)))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
identity = inverse(inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(inverse(identity),inverse(identity)),inverse(identity))) )],[refute_0_132,refute_0_139]) ).
cnf(refute_0_141,plain,
( identity != inverse(inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(inverse(inverse(identity)))))]]) ).
cnf(refute_0_142,plain,
inverse(inverse(inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(inverse(inverse(identity)))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))) != inverse(inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) != identity
| multiply(inverse(identity),inverse(inverse(identity))) = inverse(inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))),inverse(inverse(inverse(identity)))) ),[0,1,0,0],$fot(identity)]]) ).
cnf(refute_0_144,plain,
( multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))) != inverse(inverse(inverse(identity)))
| multiply(inverse(identity),inverse(inverse(identity))) = inverse(inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(inverse(identity),inverse(inverse(identity))) = inverse(inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(inverse(inverse(inverse(identity)))))),inverse(inverse(inverse(identity)))) )],[refute_0_89,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_8:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).
cnf(refute_0_147,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_148,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_149,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_151,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( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_146,refute_0_151]) ).
cnf(refute_0_153,plain,
multiply(inverse(identity),identity) = inverse(identity),
inference(subst,[],[refute_0_152:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_154,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) = inverse(inverse(identity)),
inference(subst,[],[refute_0_112:[bind(X_18,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_155,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(inverse(identity))) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)),inverse(inverse(identity))) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_156,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) != inverse(inverse(identity))
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_142,refute_0_155]) ).
cnf(refute_0_157,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)),inverse(inverse(identity))) )],[refute_0_154,refute_0_156]) ).
cnf(refute_0_158,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(identity,double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,identity)))]]) ).
cnf(refute_0_159,plain,
( double_divide(identity,double_divide(identity,identity)) != double_divide(identity,double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_160,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,double_divide(identity,identity))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
double_divide(identity,double_divide(identity,identity)) = double_divide(identity,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_9,refute_0_160]) ).
cnf(refute_0_162,plain,
( double_divide(identity,double_divide(identity,identity)) != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(identity,double_divide(identity,identity)) = identity ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(identity,double_divide(identity,identity)))),bind(Y,$fot(double_divide(identity,inverse(identity)))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_163,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(identity,double_divide(identity,identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),double_divide(identity,inverse(identity))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
double_divide(identity,double_divide(identity,identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_116,refute_0_163]) ).
cnf(refute_0_165,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)))]]) ).
cnf(refute_0_166,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))
| double_divide(identity,double_divide(identity,identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_167,plain,
( double_divide(identity,double_divide(identity,identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = double_divide(identity,inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,identity)),identity) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)))),bind(Y,$fot(double_divide(identity,inverse(identity)))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_170,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),double_divide(identity,inverse(identity))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_116,refute_0_170]) ).
cnf(refute_0_172,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != identity
| double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != inverse(inverse(identity))
| identity = inverse(inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),inverse(inverse(identity))) ),[0],$fot(identity)]]) ).
cnf(refute_0_173,plain,
( double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)) != inverse(inverse(identity))
| identity = inverse(inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),identity) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
identity = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,identity)),inverse(identity)),inverse(inverse(identity))) )],[refute_0_157,refute_0_173]) ).
cnf(refute_0_175,plain,
( identity != inverse(inverse(identity))
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_176,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(inverse(identity))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),inverse(inverse(identity))))]]) ).
cnf(refute_0_178,plain,
( multiply(inverse(identity),inverse(inverse(identity))) != multiply(inverse(identity),inverse(inverse(identity)))
| inverse(inverse(identity)) != identity
| multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),multiply(inverse(identity),inverse(inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_179,plain,
( inverse(inverse(identity)) != identity
| multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),multiply(inverse(identity),inverse(inverse(identity)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(inverse(identity),inverse(inverse(identity))) = multiply(inverse(identity),identity),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| multiply(inverse(identity),inverse(inverse(identity))) != multiply(inverse(identity),identity)
| multiply(inverse(identity),inverse(inverse(identity))) = inverse(identity) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(multiply(inverse(identity),inverse(inverse(identity))))),bind(Y,$fot(multiply(inverse(identity),identity))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_182,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| multiply(inverse(identity),inverse(inverse(identity))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),multiply(inverse(identity),identity)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
multiply(inverse(identity),inverse(inverse(identity))) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_153,refute_0_182]) ).
cnf(refute_0_184,plain,
( multiply(inverse(identity),inverse(inverse(identity))) != inverse(identity)
| multiply(inverse(identity),inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
| inverse(identity) = inverse(inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity)))) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_185,plain,
( multiply(inverse(identity),inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
| inverse(identity) = inverse(inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),inverse(identity)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( inverse(identity) != inverse(inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) != identity
| inverse(identity) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(identity),identity) ),[0],$fot(inverse(inverse(inverse(identity))))]]) ).
cnf(refute_0_187,plain,
( inverse(identity) != inverse(inverse(inverse(identity)))
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_142,refute_0_186]) ).
cnf(refute_0_188,plain,
( multiply(inverse(identity),inverse(inverse(identity))) != inverse(inverse(inverse(identity)))
| inverse(identity) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),inverse(inverse(inverse(identity)))) )],[refute_0_185,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(identity),inverse(inverse(identity))),inverse(inverse(inverse(identity)))) )],[refute_0_145,refute_0_188]) ).
cnf(refute_0_190,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_191,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_192,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_195,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),identity),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_45,refute_0_195]) ).
cnf(refute_0_197,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)
| multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10))]]) ).
cnf(refute_0_198,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)) != X_11
| multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B)),X_10) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(double_divide(B,A),X_10)),multiply(A,B))),inverse(identity)),X_11) )],[refute_0_40,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60) = X_61,
inference(subst,[],[refute_0_199:[bind(A,$fot(multiply(A,B))),bind(B,$fot(double_divide(B,A))),bind(X_10,$fot(X_60)),bind(X_11,$fot(X_61))]]) ).
cnf(refute_0_201,plain,
multiply(inverse(double_divide(B,A)),double_divide(B,A)) = inverse(identity),
inference(subst,[],[refute_0_152:[bind(X_3,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_202,plain,
( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) ),[0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_203,plain,
( multiply(inverse(double_divide(B,A)),double_divide(B,A)) != inverse(identity)
| multiply(multiply(A,B),double_divide(B,A)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_37,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(multiply(A,B),double_divide(B,A)) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(B,A)),double_divide(B,A)),inverse(identity)) )],[refute_0_201,refute_0_203]) ).
cnf(refute_0_205,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| inverse(identity) != identity
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(A,B),double_divide(B,A)),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_206,plain,
( multiply(multiply(A,B),double_divide(B,A)) != inverse(identity)
| multiply(multiply(A,B),double_divide(B,A)) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_205]) ).
cnf(refute_0_207,plain,
multiply(multiply(A,B),double_divide(B,A)) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),inverse(identity)) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
( multiply(multiply(A,B),double_divide(B,A)) != identity
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60),X_61) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_209,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(multiply(A,B),double_divide(B,A)),identity) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = X_61,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),multiply(multiply(A,B),double_divide(B,A))),X_60),X_61) )],[refute_0_200,refute_0_209]) ).
cnf(refute_0_211,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),inverse(identity))),inverse(identity)) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),
inference(subst,[],[refute_0_105:[bind(X_11,$fot(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_212,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)) != X_11
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) ),[0,0,1,0],$fot(X_11)]]) ).
cnf(refute_0_213,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),inverse(identity))),inverse(identity)) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),X_11) )],[refute_0_69,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),inverse(identity)),inverse(identity))),inverse(identity)),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) )],[refute_0_211,refute_0_213]) ).
cnf(refute_0_215,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(identity))),inverse(identity)) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_105:[bind(X_11,$fot(inverse(inverse(inverse(X_13))))),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_216,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(inverse(inverse(X_13)))
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != X_13
| double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(identity))),inverse(identity)),inverse(inverse(inverse(X_13)))) ),[0,0,1,0],$fot(X_13)]]) ).
cnf(refute_0_217,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(inverse(inverse(X_13)))
| double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),X_13) )],[refute_0_84,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(double_divide(identity,double_divide(X_13,inverse(identity))),inverse(identity)) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(identity))),inverse(identity)),inverse(inverse(inverse(X_13)))) )],[refute_0_215,refute_0_217]) ).
cnf(refute_0_219,plain,
double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) = inverse(inverse(inverse(X_11))),
inference(subst,[],[refute_0_218:[bind(X_13,$fot(X_11))]]) ).
cnf(refute_0_220,plain,
( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != inverse(inverse(inverse(X_11)))
| inverse(inverse(inverse(X_11))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) ),[0],$fot(inverse(inverse(inverse(X_11))))]]) ).
cnf(refute_0_221,plain,
( double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)) != double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))
| inverse(inverse(inverse(X_11))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),inverse(inverse(inverse(X_11)))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
inverse(inverse(inverse(X_11))) = double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(X_11,inverse(identity))),inverse(identity)),double_divide(inverse(X_12),double_divide(inverse(X_11),inverse(X_12)))) )],[refute_0_214,refute_0_221]) ).
cnf(refute_0_223,plain,
inverse(inverse(inverse(X_52))) = double_divide(inverse(identity),double_divide(inverse(X_52),inverse(identity))),
inference(subst,[],[refute_0_222:[bind(X_11,$fot(X_52)),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_224,plain,
( inverse(identity) != identity
| inverse(inverse(inverse(X_52))) != double_divide(inverse(identity),double_divide(inverse(X_52),inverse(identity)))
| inverse(inverse(inverse(X_52))) = double_divide(inverse(identity),double_divide(inverse(X_52),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(X_52))),double_divide(inverse(identity),double_divide(inverse(X_52),inverse(identity)))) ),[1,1,1],$fot(identity)]]) ).
cnf(refute_0_225,plain,
( inverse(inverse(inverse(X_52))) != double_divide(inverse(identity),double_divide(inverse(X_52),inverse(identity)))
| inverse(inverse(inverse(X_52))) = double_divide(inverse(identity),double_divide(inverse(X_52),identity)) ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_224]) ).
cnf(refute_0_226,plain,
inverse(inverse(inverse(X_52))) = double_divide(inverse(identity),double_divide(inverse(X_52),identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_52))),double_divide(inverse(identity),double_divide(inverse(X_52),inverse(identity)))) )],[refute_0_223,refute_0_225]) ).
cnf(refute_0_227,plain,
double_divide(inverse(X_52),identity) = inverse(inverse(X_52)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_52)))]]) ).
cnf(refute_0_228,plain,
double_divide(identity,double_divide(inverse(X_52),identity)) = double_divide(identity,double_divide(inverse(X_52),identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(inverse(X_52),identity)))]]) ).
cnf(refute_0_229,plain,
( double_divide(identity,double_divide(inverse(X_52),identity)) != double_divide(identity,double_divide(inverse(X_52),identity))
| double_divide(inverse(X_52),identity) != inverse(inverse(X_52))
| double_divide(identity,double_divide(inverse(X_52),identity)) = double_divide(identity,inverse(inverse(X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_52),identity)),double_divide(identity,double_divide(inverse(X_52),identity))) ),[1,1],$fot(inverse(inverse(X_52)))]]) ).
cnf(refute_0_230,plain,
( double_divide(inverse(X_52),identity) != inverse(inverse(X_52))
| double_divide(identity,double_divide(inverse(X_52),identity)) = double_divide(identity,inverse(inverse(X_52))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_52),identity)),double_divide(identity,double_divide(inverse(X_52),identity))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(identity,double_divide(inverse(X_52),identity)) = double_divide(identity,inverse(inverse(X_52))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_52),identity),inverse(inverse(X_52))) )],[refute_0_227,refute_0_230]) ).
cnf(refute_0_232,plain,
double_divide(inverse(identity),double_divide(inverse(X_52),identity)) = double_divide(inverse(identity),double_divide(inverse(X_52),identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(inverse(X_52),identity)))]]) ).
cnf(refute_0_233,plain,
( double_divide(inverse(identity),double_divide(inverse(X_52),identity)) != double_divide(inverse(identity),double_divide(inverse(X_52),identity))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(X_52),identity)) = double_divide(identity,double_divide(inverse(X_52),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(X_52),identity)),double_divide(inverse(identity),double_divide(inverse(X_52),identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_234,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(inverse(X_52),identity)) = double_divide(identity,double_divide(inverse(X_52),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(X_52),identity)),double_divide(inverse(identity),double_divide(inverse(X_52),identity))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(inverse(identity),double_divide(inverse(X_52),identity)) = double_divide(identity,double_divide(inverse(X_52),identity)),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_234]) ).
cnf(refute_0_236,plain,
( double_divide(identity,double_divide(inverse(X_52),identity)) != double_divide(identity,inverse(inverse(X_52)))
| double_divide(inverse(identity),double_divide(inverse(X_52),identity)) != double_divide(identity,double_divide(inverse(X_52),identity))
| double_divide(inverse(identity),double_divide(inverse(X_52),identity)) = double_divide(identity,inverse(inverse(X_52))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(inverse(identity),double_divide(inverse(X_52),identity)))),bind(Y,$fot(double_divide(identity,double_divide(inverse(X_52),identity)))),bind(Z,$fot(double_divide(identity,inverse(inverse(X_52)))))]]) ).
cnf(refute_0_237,plain,
( double_divide(identity,double_divide(inverse(X_52),identity)) != double_divide(identity,inverse(inverse(X_52)))
| double_divide(inverse(identity),double_divide(inverse(X_52),identity)) = double_divide(identity,inverse(inverse(X_52))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(X_52),identity)),double_divide(identity,double_divide(inverse(X_52),identity))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
double_divide(inverse(identity),double_divide(inverse(X_52),identity)) = double_divide(identity,inverse(inverse(X_52))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(inverse(X_52),identity)),double_divide(identity,inverse(inverse(X_52)))) )],[refute_0_231,refute_0_237]) ).
cnf(refute_0_239,plain,
( double_divide(inverse(identity),double_divide(inverse(X_52),identity)) != double_divide(identity,inverse(inverse(X_52)))
| inverse(inverse(inverse(X_52))) != double_divide(inverse(identity),double_divide(inverse(X_52),identity))
| inverse(inverse(inverse(X_52))) = double_divide(identity,inverse(inverse(X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(X_52))),double_divide(inverse(identity),double_divide(inverse(X_52),identity))) ),[1],$fot(double_divide(identity,inverse(inverse(X_52))))]]) ).
cnf(refute_0_240,plain,
( inverse(inverse(inverse(X_52))) != double_divide(inverse(identity),double_divide(inverse(X_52),identity))
| inverse(inverse(inverse(X_52))) = double_divide(identity,inverse(inverse(X_52))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(inverse(X_52),identity)),double_divide(identity,inverse(inverse(X_52)))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
inverse(inverse(inverse(X_52))) = double_divide(identity,inverse(inverse(X_52))),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_52))),double_divide(inverse(identity),double_divide(inverse(X_52),identity))) )],[refute_0_226,refute_0_240]) ).
cnf(refute_0_242,plain,
inverse(inverse(inverse(inverse(inverse(X_13))))) = double_divide(identity,inverse(inverse(inverse(inverse(X_13))))),
inference(subst,[],[refute_0_241:[bind(X_52,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_243,plain,
double_divide(inverse(inverse(inverse(X_13))),identity) = inverse(inverse(inverse(inverse(X_13)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_244,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))]]) ).
cnf(refute_0_245,plain,
( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_246,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),inverse(identity))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = double_divide(inverse(inverse(inverse(X_13))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_246]) ).
cnf(refute_0_248,plain,
( double_divide(inverse(inverse(inverse(X_13))),identity) != inverse(inverse(inverse(inverse(X_13))))
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != double_divide(inverse(inverse(inverse(X_13))),identity)
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(inverse(X_13))),identity))),bind(Z,$fot(inverse(inverse(inverse(inverse(X_13))))))]]) ).
cnf(refute_0_249,plain,
( double_divide(inverse(inverse(inverse(X_13))),identity) != inverse(inverse(inverse(inverse(X_13))))
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),double_divide(inverse(inverse(inverse(X_13))),identity)) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) = inverse(inverse(inverse(inverse(X_13)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),identity),inverse(inverse(inverse(inverse(X_13))))) )],[refute_0_243,refute_0_249]) ).
cnf(refute_0_251,plain,
( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != X_13
| double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != inverse(inverse(inverse(inverse(X_13))))
| inverse(inverse(inverse(inverse(X_13)))) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_252,plain,
( double_divide(inverse(inverse(inverse(X_13))),inverse(identity)) != X_13
| inverse(inverse(inverse(inverse(X_13)))) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),inverse(inverse(inverse(inverse(X_13))))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
inverse(inverse(inverse(inverse(X_13)))) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(X_13))),inverse(identity)),X_13) )],[refute_0_84,refute_0_252]) ).
cnf(refute_0_254,plain,
( inverse(inverse(inverse(inverse(X_13)))) != X_13
| inverse(inverse(inverse(inverse(inverse(X_13))))) != double_divide(identity,inverse(inverse(inverse(inverse(X_13)))))
| inverse(inverse(inverse(inverse(inverse(X_13))))) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_13))))),double_divide(identity,inverse(inverse(inverse(inverse(X_13)))))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_255,plain,
( inverse(inverse(inverse(inverse(inverse(X_13))))) != double_divide(identity,inverse(inverse(inverse(inverse(X_13)))))
| inverse(inverse(inverse(inverse(inverse(X_13))))) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
inverse(inverse(inverse(inverse(inverse(X_13))))) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_13))))),double_divide(identity,inverse(inverse(inverse(inverse(X_13)))))) )],[refute_0_242,refute_0_255]) ).
cnf(refute_0_257,plain,
inverse(inverse(inverse(inverse(inverse(X_13))))) = inverse(X_13),
inference(subst,[],[refute_0_253:[bind(X_13,$fot(inverse(X_13)))]]) ).
cnf(refute_0_258,plain,
( inverse(inverse(inverse(inverse(inverse(X_13))))) != double_divide(identity,X_13)
| inverse(inverse(inverse(inverse(inverse(X_13))))) != inverse(X_13)
| inverse(X_13) = double_divide(identity,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_13))))),double_divide(identity,X_13)) ),[0],$fot(inverse(X_13))]]) ).
cnf(refute_0_259,plain,
( inverse(inverse(inverse(inverse(inverse(X_13))))) != double_divide(identity,X_13)
| inverse(X_13) = double_divide(identity,X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_13))))),inverse(X_13)) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
inverse(X_13) = double_divide(identity,X_13),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(inverse(X_13))))),double_divide(identity,X_13)) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( inverse(X_13) != double_divide(identity,X_13)
| double_divide(identity,X_13) = inverse(X_13) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_13))),bind(Y,$fot(double_divide(identity,X_13)))]]) ).
cnf(refute_0_262,plain,
double_divide(identity,X_13) = inverse(X_13),
inference(resolve,[$cnf( $equal(inverse(X_13),double_divide(identity,X_13)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
double_divide(identity,X_60) = inverse(X_60),
inference(subst,[],[refute_0_262:[bind(X_13,$fot(X_60))]]) ).
cnf(refute_0_264,plain,
( identity != double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))
| double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))))]]) ).
cnf(refute_0_265,plain,
double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))) )],[refute_0_96,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(double_divide(B,A),multiply(A,B)) = identity,
inference(subst,[],[refute_0_265:[bind(X_2,$fot(A)),bind(X_3,$fot(B))]]) ).
cnf(refute_0_267,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))]]) ).
cnf(refute_0_268,plain,
( double_divide(double_divide(B,A),multiply(A,B)) != identity
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(identity,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_269,plain,
( double_divide(double_divide(B,A),multiply(A,B)) != identity
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(identity,X_60) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = double_divide(identity,X_60),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),multiply(A,B)),identity) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
( double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != double_divide(identity,X_60)
| double_divide(identity,X_60) != inverse(X_60)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = inverse(X_60) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),bind(Y,$fot(double_divide(identity,X_60))),bind(Z,$fot(inverse(X_60)))]]) ).
cnf(refute_0_272,plain,
( double_divide(identity,X_60) != inverse(X_60)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = inverse(X_60) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),double_divide(identity,X_60)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) = inverse(X_60),
inference(resolve,[$cnf( $equal(double_divide(identity,X_60),inverse(X_60)) )],[refute_0_263,refute_0_272]) ).
cnf(refute_0_274,plain,
multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61))]]) ).
cnf(refute_0_275,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != inverse(X_60)
| multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(inverse(X_60),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) ),[1,0],$fot(inverse(X_60))]]) ).
cnf(refute_0_276,plain,
( double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60) != inverse(X_60)
| multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(inverse(X_60),X_61) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) = multiply(inverse(X_60),X_61),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),inverse(X_60)) )],[refute_0_273,refute_0_276]) ).
cnf(refute_0_278,plain,
inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),
inference(subst,[],[refute_0_37:[bind(A,$fot(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),bind(B,$fot(X_61))]]) ).
cnf(refute_0_279,plain,
double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))))]]) ).
cnf(refute_0_280,plain,
( double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)))
| inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity))),bind(Y,$fot(inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))))),bind(Z,$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)))]]) ).
cnf(refute_0_281,plain,
( inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60))),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) != multiply(inverse(X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(inverse(X_60),X_61) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity))),bind(Y,$fot(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61))),bind(Z,$fot(multiply(inverse(X_60),X_61)))]]) ).
cnf(refute_0_284,plain,
( multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61) != multiply(inverse(X_60),X_61)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(inverse(X_60),X_61) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) = multiply(inverse(X_60),X_61),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60),X_61),multiply(inverse(X_60),X_61)) )],[refute_0_277,refute_0_284]) ).
cnf(refute_0_286,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),
introduced(tautology,[refl,[$fot(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60))]]) ).
cnf(refute_0_287,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60)
| double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != multiply(inverse(X_60),X_61)
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(multiply(inverse(X_60),X_61),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60)) ),[1,0],$fot(multiply(inverse(X_60),X_61))]]) ).
cnf(refute_0_288,plain,
( double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity) != multiply(inverse(X_60),X_61)
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(multiply(inverse(X_60),X_61),X_60) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) = multiply(multiply(inverse(X_60),X_61),X_60),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),multiply(inverse(X_60),X_61)) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != X_61
| multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != multiply(multiply(inverse(X_60),X_61),X_60)
| multiply(multiply(inverse(X_60),X_61),X_60) = X_61 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),X_61) ),[0],$fot(multiply(multiply(inverse(X_60),X_61),X_60))]]) ).
cnf(refute_0_291,plain,
( multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60) != X_61
| multiply(multiply(inverse(X_60),X_61),X_60) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),multiply(multiply(inverse(X_60),X_61),X_60)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
multiply(multiply(inverse(X_60),X_61),X_60) = X_61,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_61,double_divide(double_divide(double_divide(B,A),multiply(A,B)),X_60)),identity),X_60),X_61) )],[refute_0_210,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_75)),X_60) = double_divide(inverse(X_60),X_75),
inference(subst,[],[refute_0_292:[bind(X_61,$fot(double_divide(inverse(X_60),X_75)))]]) ).
cnf(refute_0_294,plain,
multiply(multiply(inverse(inverse(inverse(inverse(X_13)))),X_63),inverse(inverse(inverse(X_13)))) = X_63,
inference(subst,[],[refute_0_292:[bind(X_60,$fot(inverse(inverse(inverse(X_13))))),bind(X_61,$fot(X_63))]]) ).
cnf(refute_0_295,plain,
( multiply(multiply(inverse(inverse(inverse(inverse(X_13)))),X_63),inverse(inverse(inverse(X_13)))) != X_63
| inverse(inverse(inverse(inverse(X_13)))) != X_13
| multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) = X_63 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(inverse(inverse(X_13)))),X_63),inverse(inverse(inverse(X_13)))),X_63) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_296,plain,
( multiply(multiply(inverse(inverse(inverse(inverse(X_13)))),X_63),inverse(inverse(inverse(X_13)))) != X_63
| multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) = X_63 ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_253,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) = X_63,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(inverse(inverse(X_13)))),X_63),inverse(inverse(inverse(X_13)))),X_63) )],[refute_0_294,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62) = inverse(inverse(inverse(inverse(X_62)))),
inference(subst,[],[refute_0_292:[bind(X_60,$fot(X_62)),bind(X_61,$fot(inverse(inverse(inverse(inverse(X_62))))))]]) ).
cnf(refute_0_299,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_300,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_299]) ).
cnf(refute_0_301,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_152,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(inverse(inverse(inverse(inverse(X_22)))),inverse(inverse(inverse(X_22)))) = identity,
inference(subst,[],[refute_0_301:[bind(X_3,$fot(inverse(inverse(inverse(X_22)))))]]) ).
cnf(refute_0_303,plain,
inverse(inverse(inverse(inverse(X_22)))) = X_22,
inference(subst,[],[refute_0_253:[bind(X_13,$fot(X_22))]]) ).
cnf(refute_0_304,plain,
( multiply(inverse(inverse(inverse(inverse(X_22)))),inverse(inverse(inverse(X_22)))) != identity
| inverse(inverse(inverse(inverse(X_22)))) != X_22
| multiply(X_22,inverse(inverse(inverse(X_22)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_22)))),inverse(inverse(inverse(X_22)))),identity) ),[0,0],$fot(X_22)]]) ).
cnf(refute_0_305,plain,
( multiply(inverse(inverse(inverse(inverse(X_22)))),inverse(inverse(inverse(X_22)))) != identity
| multiply(X_22,inverse(inverse(inverse(X_22)))) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_22)))),X_22) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(X_22,inverse(inverse(inverse(X_22)))) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(inverse(inverse(X_22)))),inverse(inverse(inverse(X_22)))),identity) )],[refute_0_302,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))) = identity,
inference(subst,[],[refute_0_306:[bind(X_22,$fot(inverse(X_62)))]]) ).
cnf(refute_0_308,plain,
( multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62) != inverse(inverse(inverse(inverse(X_62))))
| multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))) != identity
| multiply(identity,X_62) = inverse(inverse(inverse(inverse(X_62)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62),inverse(inverse(inverse(inverse(X_62))))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_309,plain,
( multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62) != inverse(inverse(inverse(inverse(X_62))))
| multiply(identity,X_62) = inverse(inverse(inverse(inverse(X_62)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),identity) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
multiply(identity,X_62) = inverse(inverse(inverse(inverse(X_62)))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_62),inverse(inverse(inverse(inverse(X_62))))),X_62),inverse(inverse(inverse(inverse(X_62))))) )],[refute_0_298,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_312,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_313,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_314,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_316,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_311,refute_0_316]) ).
cnf(refute_0_318,plain,
multiply(identity,X_62) = inverse(inverse(X_62)),
inference(subst,[],[refute_0_317:[bind(X_3,$fot(X_62))]]) ).
cnf(refute_0_319,plain,
( multiply(identity,X_62) != inverse(inverse(X_62))
| multiply(identity,X_62) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = inverse(inverse(inverse(inverse(X_62)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_62),inverse(inverse(inverse(inverse(X_62))))) ),[0],$fot(inverse(inverse(X_62)))]]) ).
cnf(refute_0_320,plain,
( multiply(identity,X_62) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = inverse(inverse(inverse(inverse(X_62)))) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_62),inverse(inverse(X_62))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
inverse(inverse(inverse(inverse(X_62)))) = X_62,
inference(subst,[],[refute_0_253:[bind(X_13,$fot(X_62))]]) ).
cnf(refute_0_322,plain,
( inverse(inverse(X_62)) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(inverse(inverse(X_62)))) != X_62
| inverse(inverse(X_62)) = X_62 ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(inverse(X_62)),X_62) ),[0],$fot(inverse(inverse(inverse(inverse(X_62)))))]]) ).
cnf(refute_0_323,plain,
( inverse(inverse(X_62)) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = X_62 ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_62)))),X_62) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
( multiply(identity,X_62) != inverse(inverse(inverse(inverse(X_62))))
| inverse(inverse(X_62)) = X_62 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_62)),inverse(inverse(inverse(inverse(X_62))))) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
inverse(inverse(X_62)) = X_62,
inference(resolve,[$cnf( $equal(multiply(identity,X_62),inverse(inverse(inverse(inverse(X_62))))) )],[refute_0_310,refute_0_324]) ).
cnf(refute_0_326,plain,
inverse(inverse(inverse(X_13))) = inverse(X_13),
inference(subst,[],[refute_0_325:[bind(X_62,$fot(inverse(X_13)))]]) ).
cnf(refute_0_327,plain,
multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) = multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))))]]) ).
cnf(refute_0_328,plain,
( multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) != multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13))))
| inverse(inverse(inverse(X_13))) != inverse(X_13)
| multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) = multiply(multiply(X_13,X_63),inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))),multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13))))) ),[1,1],$fot(inverse(X_13))]]) ).
cnf(refute_0_329,plain,
( inverse(inverse(inverse(X_13))) != inverse(X_13)
| multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) = multiply(multiply(X_13,X_63),inverse(X_13)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))),multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13))))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) = multiply(multiply(X_13,X_63),inverse(X_13)),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) != X_63
| multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) != multiply(multiply(X_13,X_63),inverse(X_13))
| multiply(multiply(X_13,X_63),inverse(X_13)) = X_63 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))),X_63) ),[0],$fot(multiply(multiply(X_13,X_63),inverse(X_13)))]]) ).
cnf(refute_0_332,plain,
( multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))) != X_63
| multiply(multiply(X_13,X_63),inverse(X_13)) = X_63 ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))),multiply(multiply(X_13,X_63),inverse(X_13))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
multiply(multiply(X_13,X_63),inverse(X_13)) = X_63,
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,X_63),inverse(inverse(inverse(X_13)))),X_63) )],[refute_0_297,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(multiply(multiply(X_73,X_74),inverse(X_73)),inverse(multiply(X_73,X_74))) = inverse(X_73),
inference(subst,[],[refute_0_333:[bind(X_13,$fot(multiply(X_73,X_74))),bind(X_63,$fot(inverse(X_73)))]]) ).
cnf(refute_0_335,plain,
multiply(multiply(X_73,X_74),inverse(X_73)) = X_74,
inference(subst,[],[refute_0_333:[bind(X_13,$fot(X_73)),bind(X_63,$fot(X_74))]]) ).
cnf(refute_0_336,plain,
( multiply(multiply(X_73,X_74),inverse(X_73)) != X_74
| multiply(multiply(multiply(X_73,X_74),inverse(X_73)),inverse(multiply(X_73,X_74))) != inverse(X_73)
| multiply(X_74,inverse(multiply(X_73,X_74))) = inverse(X_73) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_73,X_74),inverse(X_73)),inverse(multiply(X_73,X_74))),inverse(X_73)) ),[0,0],$fot(X_74)]]) ).
cnf(refute_0_337,plain,
( multiply(multiply(multiply(X_73,X_74),inverse(X_73)),inverse(multiply(X_73,X_74))) != inverse(X_73)
| multiply(X_74,inverse(multiply(X_73,X_74))) = inverse(X_73) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_73,X_74),inverse(X_73)),X_74) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(X_74,inverse(multiply(X_73,X_74))) = inverse(X_73),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_73,X_74),inverse(X_73)),inverse(multiply(X_73,X_74))),inverse(X_73)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)) = double_divide(B,A),
inference(subst,[],[refute_0_84:[bind(X_13,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_340,plain,
( double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)) != double_divide(B,A)
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)),double_divide(B,A)) ),[0,0,0,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_341,plain,
( double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)) != double_divide(B,A)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_37,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(B,A)))),inverse(identity)),double_divide(B,A)) )],[refute_0_339,refute_0_341]) ).
cnf(refute_0_343,plain,
double_divide(inverse(inverse(multiply(A,B))),identity) = inverse(inverse(inverse(multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(multiply(A,B)))))]]) ).
cnf(refute_0_344,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_345,plain,
( double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(inverse(inverse(multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(inverse(inverse(multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_346,plain,
( inverse(identity) != identity
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(inverse(inverse(multiply(A,B))),inverse(identity))) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = double_divide(inverse(inverse(multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_346]) ).
cnf(refute_0_348,plain,
( double_divide(inverse(inverse(multiply(A,B))),identity) != inverse(inverse(inverse(multiply(A,B))))
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(inverse(inverse(multiply(A,B))),identity)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = inverse(inverse(inverse(multiply(A,B)))) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(inverse(inverse(multiply(A,B))),identity))),bind(Z,$fot(inverse(inverse(inverse(multiply(A,B))))))]]) ).
cnf(refute_0_349,plain,
( double_divide(inverse(inverse(multiply(A,B))),identity) != inverse(inverse(inverse(multiply(A,B))))
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = inverse(inverse(inverse(multiply(A,B)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(inverse(inverse(multiply(A,B))),identity)) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) = inverse(inverse(inverse(multiply(A,B)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),identity),inverse(inverse(inverse(multiply(A,B))))) )],[refute_0_343,refute_0_349]) ).
cnf(refute_0_351,plain,
( double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(B,A)
| double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != inverse(inverse(inverse(multiply(A,B))))
| inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(B,A)) ),[0],$fot(inverse(inverse(inverse(multiply(A,B)))))]]) ).
cnf(refute_0_352,plain,
( double_divide(inverse(inverse(multiply(A,B))),inverse(identity)) != double_divide(B,A)
| inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),inverse(inverse(inverse(multiply(A,B))))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
inverse(inverse(inverse(multiply(A,B)))) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(multiply(A,B))),inverse(identity)),double_divide(B,A)) )],[refute_0_342,refute_0_352]) ).
cnf(refute_0_354,plain,
inverse(inverse(inverse(multiply(A,B)))) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_325:[bind(X_62,$fot(inverse(multiply(A,B))))]]) ).
cnf(refute_0_355,plain,
( inverse(inverse(inverse(multiply(A,B)))) != double_divide(B,A)
| inverse(inverse(inverse(multiply(A,B)))) != inverse(multiply(A,B))
| inverse(multiply(A,B)) = double_divide(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(multiply(A,B)))),double_divide(B,A)) ),[0],$fot(inverse(multiply(A,B)))]]) ).
cnf(refute_0_356,plain,
( inverse(inverse(inverse(multiply(A,B)))) != double_divide(B,A)
| inverse(multiply(A,B)) = double_divide(B,A) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(A,B))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
inverse(multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(multiply(A,B)))),double_divide(B,A)) )],[refute_0_353,refute_0_356]) ).
cnf(refute_0_358,plain,
inverse(multiply(X_73,X_74)) = double_divide(X_74,X_73),
inference(subst,[],[refute_0_357:[bind(A,$fot(X_73)),bind(B,$fot(X_74))]]) ).
cnf(refute_0_359,plain,
multiply(X_74,inverse(multiply(X_73,X_74))) = multiply(X_74,inverse(multiply(X_73,X_74))),
introduced(tautology,[refl,[$fot(multiply(X_74,inverse(multiply(X_73,X_74))))]]) ).
cnf(refute_0_360,plain,
( multiply(X_74,inverse(multiply(X_73,X_74))) != multiply(X_74,inverse(multiply(X_73,X_74)))
| inverse(multiply(X_73,X_74)) != double_divide(X_74,X_73)
| multiply(X_74,inverse(multiply(X_73,X_74))) = multiply(X_74,double_divide(X_74,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_74,inverse(multiply(X_73,X_74))),multiply(X_74,inverse(multiply(X_73,X_74)))) ),[1,1],$fot(double_divide(X_74,X_73))]]) ).
cnf(refute_0_361,plain,
( inverse(multiply(X_73,X_74)) != double_divide(X_74,X_73)
| multiply(X_74,inverse(multiply(X_73,X_74))) = multiply(X_74,double_divide(X_74,X_73)) ),
inference(resolve,[$cnf( $equal(multiply(X_74,inverse(multiply(X_73,X_74))),multiply(X_74,inverse(multiply(X_73,X_74)))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
multiply(X_74,inverse(multiply(X_73,X_74))) = multiply(X_74,double_divide(X_74,X_73)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_73,X_74)),double_divide(X_74,X_73)) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
( multiply(X_74,inverse(multiply(X_73,X_74))) != multiply(X_74,double_divide(X_74,X_73))
| multiply(X_74,inverse(multiply(X_73,X_74))) != inverse(X_73)
| multiply(X_74,double_divide(X_74,X_73)) = inverse(X_73) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_74,inverse(multiply(X_73,X_74))),inverse(X_73)) ),[0],$fot(multiply(X_74,double_divide(X_74,X_73)))]]) ).
cnf(refute_0_364,plain,
( multiply(X_74,inverse(multiply(X_73,X_74))) != inverse(X_73)
| multiply(X_74,double_divide(X_74,X_73)) = inverse(X_73) ),
inference(resolve,[$cnf( $equal(multiply(X_74,inverse(multiply(X_73,X_74))),multiply(X_74,double_divide(X_74,X_73))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(X_74,double_divide(X_74,X_73)) = inverse(X_73),
inference(resolve,[$cnf( $equal(multiply(X_74,inverse(multiply(X_73,X_74))),inverse(X_73)) )],[refute_0_338,refute_0_364]) ).
cnf(refute_0_366,plain,
multiply(inverse(X_60),double_divide(inverse(X_60),X_75)) = inverse(X_75),
inference(subst,[],[refute_0_365:[bind(X_73,$fot(X_75)),bind(X_74,$fot(inverse(X_60)))]]) ).
cnf(refute_0_367,plain,
( multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_75)),X_60) != double_divide(inverse(X_60),X_75)
| multiply(inverse(X_60),double_divide(inverse(X_60),X_75)) != inverse(X_75)
| multiply(inverse(X_75),X_60) = double_divide(inverse(X_60),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_75)),X_60),double_divide(inverse(X_60),X_75)) ),[0,0],$fot(inverse(X_75))]]) ).
cnf(refute_0_368,plain,
( multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_75)),X_60) != double_divide(inverse(X_60),X_75)
| multiply(inverse(X_75),X_60) = double_divide(inverse(X_60),X_75) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),double_divide(inverse(X_60),X_75)),inverse(X_75)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
multiply(inverse(X_75),X_60) = double_divide(inverse(X_60),X_75),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_60),double_divide(inverse(X_60),X_75)),X_60),double_divide(inverse(X_60),X_75)) )],[refute_0_293,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) = double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75),
inference(subst,[],[refute_0_369:[bind(X_60,$fot(double_divide(X_90,inverse(X_75))))]]) ).
cnf(refute_0_371,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_34:[bind(A,$fot(multiply(X_2,X_3))),bind(B,$fot(X_11)),bind(C,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_372,plain,
( double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_373,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),identity) )],[refute_0_265,refute_0_372]) ).
cnf(refute_0_374,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,double_divide(double_divide(X_3,X_2),multiply(X_2,X_3))),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) )],[refute_0_371,refute_0_373]) ).
cnf(refute_0_375,plain,
double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_376,plain,
( double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) ),[1,1],$fot(multiply(X_2,X_3))]]) ).
cnf(refute_0_377,plain,
( inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_93,refute_0_377]) ).
cnf(refute_0_379,plain,
double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_380,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) ),[1,0],$fot(inverse(X_11))]]) ).
cnf(refute_0_381,plain,
( double_divide(X_11,identity) != inverse(X_11)
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),
inference(resolve,[$cnf( $equal(double_divide(X_11,identity),inverse(X_11)) )],[refute_0_54,refute_0_381]) ).
cnf(refute_0_383,plain,
( double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))
| double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))),bind(Y,$fot(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))))),bind(Z,$fot(double_divide(inverse(X_11),multiply(X_2,X_3))))]]) ).
cnf(refute_0_384,plain,
( double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),inverse(double_divide(X_3,X_2)))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) = double_divide(inverse(X_11),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),multiply(X_2,X_3))) )],[refute_0_378,refute_0_384]) ).
cnf(refute_0_386,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))))]]) ).
cnf(refute_0_387,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))
| double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))) ),[1,1],$fot(double_divide(inverse(X_11),multiply(X_2,X_3)))]]) ).
cnf(refute_0_388,plain,
( double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))) != double_divide(inverse(X_11),multiply(X_2,X_3))
| double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) = double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2))),double_divide(inverse(X_11),multiply(X_2,X_3))) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)))]]) ).
cnf(refute_0_391,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))) ),[1,0],$fot(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))]]) ).
cnf(refute_0_392,plain,
( double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))) != double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) ),[0],$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))]]) ).
cnf(refute_0_395,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(double_divide(X_11,identity),inverse(double_divide(X_3,X_2)))),inverse(identity)),X_11) )],[refute_0_374,refute_0_395]) ).
cnf(refute_0_397,plain,
inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
inference(subst,[],[refute_0_37:[bind(A,$fot(double_divide(inverse(X_11),multiply(X_2,X_3)))),bind(B,$fot(multiply(X_2,X_3)))]]) ).
cnf(refute_0_398,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))))]]) ).
cnf(refute_0_399,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))
| inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity))),bind(Y,$fot(inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))))),bind(Z,$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_400,plain,
( inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3)))),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))]]) ).
cnf(refute_0_403,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_404,plain,
( inverse(identity) != identity
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_189,refute_0_404]) ).
cnf(refute_0_406,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity)
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity))),bind(Z,$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))))]]) ).
cnf(refute_0_407,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) = multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),identity),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_401,refute_0_407]) ).
cnf(refute_0_409,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != X_11
| double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))
| multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)))]]) ).
cnf(refute_0_410,plain,
( double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)) != X_11
| multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
multiply(double_divide(inverse(X_11),multiply(X_2,X_3)),multiply(X_2,X_3)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_2,X_3),double_divide(inverse(X_11),multiply(X_2,X_3))),inverse(identity)),X_11) )],[refute_0_396,refute_0_410]) ).
cnf(refute_0_412,plain,
multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = X_11,
inference(subst,[],[refute_0_411:[bind(X_2,$fot(double_divide(inverse(X_29),multiply(X_30,X_31)))),bind(X_3,$fot(multiply(X_30,X_31)))]]) ).
cnf(refute_0_413,plain,
multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)) = X_29,
inference(subst,[],[refute_0_411:[bind(X_11,$fot(X_29)),bind(X_2,$fot(X_30)),bind(X_3,$fot(X_31))]]) ).
cnf(refute_0_414,plain,
( multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) != X_11
| multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)) != X_29
| multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),X_11) ),[0,0,1],$fot(X_29)]]) ).
cnf(refute_0_415,plain,
( multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) != X_11
| multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)),X_29) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = X_11,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),X_11) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))))]]) ).
cnf(refute_0_418,plain,
( multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) != multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)))
| multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)) != X_29
| multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = multiply(double_divide(inverse(X_11),X_29),X_29) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_419,plain,
( multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)) != X_29
| multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = multiply(double_divide(inverse(X_11),X_29),X_29) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) = multiply(double_divide(inverse(X_11),X_29),X_29),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31)),X_29) )],[refute_0_413,refute_0_419]) ).
cnf(refute_0_421,plain,
( multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) != X_11
| multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) != multiply(double_divide(inverse(X_11),X_29),X_29)
| multiply(double_divide(inverse(X_11),X_29),X_29) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),X_11) ),[0],$fot(multiply(double_divide(inverse(X_11),X_29),X_29))]]) ).
cnf(refute_0_422,plain,
( multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))) != X_11
| multiply(double_divide(inverse(X_11),X_29),X_29) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),multiply(double_divide(inverse(X_11),X_29),X_29)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
multiply(double_divide(inverse(X_11),X_29),X_29) = X_11,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_11),X_29),multiply(double_divide(inverse(X_29),multiply(X_30,X_31)),multiply(X_30,X_31))),X_11) )],[refute_0_416,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_33),X_33) = inverse(inverse(inverse(X_13))),
inference(subst,[],[refute_0_423:[bind(X_11,$fot(inverse(inverse(inverse(X_13))))),bind(X_29,$fot(X_33))]]) ).
cnf(refute_0_425,plain,
( multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_33),X_33) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(inverse(X_13)))) != X_13
| multiply(double_divide(X_13,X_33),X_33) = inverse(inverse(inverse(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_33),X_33),inverse(inverse(inverse(X_13)))) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_426,plain,
( multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_33),X_33) != inverse(inverse(inverse(X_13)))
| multiply(double_divide(X_13,X_33),X_33) = inverse(inverse(inverse(X_13))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_13)))),X_13) )],[refute_0_253,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(double_divide(X_13,X_33),X_33) = inverse(inverse(inverse(X_13))),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(inverse(inverse(X_13)))),X_33),X_33),inverse(inverse(inverse(X_13)))) )],[refute_0_424,refute_0_426]) ).
cnf(refute_0_428,plain,
( multiply(double_divide(X_13,X_33),X_33) != inverse(inverse(inverse(X_13)))
| inverse(inverse(inverse(X_13))) != inverse(X_13)
| multiply(double_divide(X_13,X_33),X_33) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_13,X_33),X_33),inverse(X_13)) ),[0],$fot(inverse(inverse(inverse(X_13))))]]) ).
cnf(refute_0_429,plain,
( multiply(double_divide(X_13,X_33),X_33) != inverse(inverse(inverse(X_13)))
| multiply(double_divide(X_13,X_33),X_33) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(X_13))),inverse(X_13)) )],[refute_0_326,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(double_divide(X_13,X_33),X_33) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_33),X_33),inverse(inverse(inverse(X_13)))) )],[refute_0_427,refute_0_429]) ).
cnf(refute_0_431,plain,
multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),
inference(subst,[],[refute_0_199:[bind(A,$fot(X_58)),bind(B,$fot(X_59)),bind(X_10,$fot(X_60)),bind(X_11,$fot(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))))]]) ).
cnf(refute_0_432,plain,
identity = double_divide(inverse(inverse(inverse(X_22))),inverse(inverse(inverse(inverse(X_22))))),
inference(subst,[],[identity:[bind(A,$fot(inverse(inverse(inverse(X_22)))))]]) ).
cnf(refute_0_433,plain,
( identity != double_divide(inverse(inverse(inverse(X_22))),inverse(inverse(inverse(inverse(X_22)))))
| inverse(inverse(inverse(inverse(X_22)))) != X_22
| identity = double_divide(inverse(inverse(inverse(X_22))),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(X_22))),inverse(inverse(inverse(inverse(X_22)))))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_434,plain,
( identity != double_divide(inverse(inverse(inverse(X_22))),inverse(inverse(inverse(inverse(X_22)))))
| identity = double_divide(inverse(inverse(inverse(X_22))),X_22) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_22)))),X_22) )],[refute_0_303,refute_0_433]) ).
cnf(refute_0_435,plain,
identity = double_divide(inverse(inverse(inverse(X_22))),X_22),
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(X_22))),inverse(inverse(inverse(inverse(X_22)))))) )],[refute_0_432,refute_0_434]) ).
cnf(refute_0_436,plain,
identity = double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),
inference(subst,[],[refute_0_435:[bind(X_22,$fot(double_divide(double_divide(X_59,X_58),X_60)))]]) ).
cnf(refute_0_437,plain,
( identity != double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60))
| double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60))))]]) ).
cnf(refute_0_438,plain,
double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
( multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)) != identity
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_440,plain,
( multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),identity) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),double_divide(double_divide(X_59,X_58),X_60)),multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_431,refute_0_440]) ).
cnf(refute_0_442,plain,
double_divide(identity,multiply(X_58,X_59)) = inverse(multiply(X_58,X_59)),
inference(subst,[],[refute_0_262:[bind(X_13,$fot(multiply(X_58,X_59)))]]) ).
cnf(refute_0_443,plain,
multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(double_divide(identity,multiply(X_58,X_59)),X_60),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,multiply(X_58,X_59)),X_60))]]) ).
cnf(refute_0_444,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != multiply(double_divide(identity,multiply(X_58,X_59)),X_60)
| double_divide(identity,multiply(X_58,X_59)) != inverse(multiply(X_58,X_59))
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),multiply(double_divide(identity,multiply(X_58,X_59)),X_60)) ),[1,0],$fot(inverse(multiply(X_58,X_59)))]]) ).
cnf(refute_0_445,plain,
( double_divide(identity,multiply(X_58,X_59)) != inverse(multiply(X_58,X_59))
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),multiply(double_divide(identity,multiply(X_58,X_59)),X_60)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(double_divide(identity,multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_58,X_59)),inverse(multiply(X_58,X_59))) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != multiply(inverse(multiply(X_58,X_59)),X_60)
| multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) ),[0],$fot(multiply(inverse(multiply(X_58,X_59)),X_60))]]) ).
cnf(refute_0_448,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),multiply(inverse(multiply(X_58,X_59)),X_60)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
inverse(double_divide(double_divide(X_59,X_58),X_60)) = multiply(X_60,double_divide(X_59,X_58)),
inference(subst,[],[refute_0_37:[bind(A,$fot(X_60)),bind(B,$fot(double_divide(X_59,X_58)))]]) ).
cnf(refute_0_450,plain,
inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))]]) ).
cnf(refute_0_451,plain,
( inverse(double_divide(double_divide(X_59,X_58),X_60)) != multiply(X_60,double_divide(X_59,X_58))
| inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) != inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))
| inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(multiply(X_60,double_divide(X_59,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) ),[1,0],$fot(multiply(X_60,double_divide(X_59,X_58)))]]) ).
cnf(refute_0_452,plain,
( inverse(double_divide(double_divide(X_59,X_58),X_60)) != multiply(X_60,double_divide(X_59,X_58))
| inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(multiply(X_60,double_divide(X_59,X_58))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) = inverse(multiply(X_60,double_divide(X_59,X_58))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_59,X_58),X_60)),multiply(X_60,double_divide(X_59,X_58))) )],[refute_0_449,refute_0_452]) ).
cnf(refute_0_454,plain,
inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),
introduced(tautology,[refl,[$fot(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))))]]) ).
cnf(refute_0_455,plain,
( inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) != inverse(multiply(X_60,double_divide(X_59,X_58)))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) ),[1,0],$fot(inverse(multiply(X_60,double_divide(X_59,X_58))))]]) ).
cnf(refute_0_456,plain,
( inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))) != inverse(multiply(X_60,double_divide(X_59,X_58)))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))),inverse(multiply(X_60,double_divide(X_59,X_58)))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) ),[0],$fot(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))))]]) ).
cnf(refute_0_459,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60)))),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
( multiply(double_divide(identity,multiply(X_58,X_59)),X_60) != inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))
| multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_448,refute_0_459]) ).
cnf(refute_0_461,plain,
multiply(inverse(multiply(X_58,X_59)),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(X_58,X_59)),X_60),inverse(inverse(inverse(double_divide(double_divide(X_59,X_58),X_60))))) )],[refute_0_441,refute_0_460]) ).
cnf(refute_0_462,plain,
inverse(multiply(X_58,X_59)) = double_divide(X_59,X_58),
inference(subst,[],[refute_0_357:[bind(A,$fot(X_58)),bind(B,$fot(X_59))]]) ).
cnf(refute_0_463,plain,
multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(inverse(multiply(X_58,X_59)),X_60),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_58,X_59)),X_60))]]) ).
cnf(refute_0_464,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != multiply(inverse(multiply(X_58,X_59)),X_60)
| inverse(multiply(X_58,X_59)) != double_divide(X_59,X_58)
| multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(double_divide(X_59,X_58),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),multiply(inverse(multiply(X_58,X_59)),X_60)) ),[1,0],$fot(double_divide(X_59,X_58))]]) ).
cnf(refute_0_465,plain,
( inverse(multiply(X_58,X_59)) != double_divide(X_59,X_58)
| multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(double_divide(X_59,X_58),X_60) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),multiply(inverse(multiply(X_58,X_59)),X_60)) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
multiply(inverse(multiply(X_58,X_59)),X_60) = multiply(double_divide(X_59,X_58),X_60),
inference(resolve,[$cnf( $equal(inverse(multiply(X_58,X_59)),double_divide(X_59,X_58)) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != multiply(double_divide(X_59,X_58),X_60)
| multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) ),[0],$fot(multiply(double_divide(X_59,X_58),X_60))]]) ).
cnf(refute_0_468,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),multiply(double_divide(X_59,X_58),X_60)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) = multiply(X_60,double_divide(X_59,X_58)),
inference(subst,[],[refute_0_325:[bind(X_62,$fot(multiply(X_60,double_divide(X_59,X_58))))]]) ).
cnf(refute_0_470,plain,
( multiply(double_divide(X_59,X_58),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))) != multiply(X_60,double_divide(X_59,X_58))
| multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_59,X_58),X_60),multiply(X_60,double_divide(X_59,X_58))) ),[0],$fot(inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))))]]) ).
cnf(refute_0_471,plain,
( multiply(double_divide(X_59,X_58),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_60,double_divide(X_59,X_58)))),multiply(X_60,double_divide(X_59,X_58))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
( multiply(inverse(multiply(X_58,X_59)),X_60) != inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))
| multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_59,X_58),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(double_divide(X_59,X_58),X_60) = multiply(X_60,double_divide(X_59,X_58)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_58,X_59)),X_60),inverse(inverse(multiply(X_60,double_divide(X_59,X_58))))) )],[refute_0_461,refute_0_472]) ).
cnf(refute_0_474,plain,
multiply(double_divide(X_13,X_33),X_33) = multiply(X_33,double_divide(X_13,X_33)),
inference(subst,[],[refute_0_473:[bind(X_58,$fot(X_33)),bind(X_59,$fot(X_13)),bind(X_60,$fot(X_33))]]) ).
cnf(refute_0_475,plain,
( multiply(double_divide(X_13,X_33),X_33) != multiply(X_33,double_divide(X_13,X_33))
| multiply(double_divide(X_13,X_33),X_33) != inverse(X_13)
| multiply(X_33,double_divide(X_13,X_33)) = inverse(X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_13,X_33),X_33),inverse(X_13)) ),[0],$fot(multiply(X_33,double_divide(X_13,X_33)))]]) ).
cnf(refute_0_476,plain,
( multiply(double_divide(X_13,X_33),X_33) != inverse(X_13)
| multiply(X_33,double_divide(X_13,X_33)) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_33),X_33),multiply(X_33,double_divide(X_13,X_33))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(X_33,double_divide(X_13,X_33)) = inverse(X_13),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_13,X_33),X_33),inverse(X_13)) )],[refute_0_430,refute_0_476]) ).
cnf(refute_0_478,plain,
multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) = inverse(X_90),
inference(subst,[],[refute_0_477:[bind(X_13,$fot(X_90)),bind(X_33,$fot(inverse(X_75)))]]) ).
cnf(refute_0_479,plain,
( multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) != double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)
| multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) != inverse(X_90)
| inverse(X_90) = double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_75),double_divide(X_90,inverse(X_75))),double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)) ),[0],$fot(inverse(X_90))]]) ).
cnf(refute_0_480,plain,
( multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) != double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)
| inverse(X_90) = double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),double_divide(X_90,inverse(X_75))),inverse(X_90)) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
inverse(X_90) = double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),double_divide(X_90,inverse(X_75))),double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)) )],[refute_0_370,refute_0_480]) ).
cnf(refute_0_482,plain,
multiply(inverse(X_84),double_divide(B,A)) = double_divide(inverse(double_divide(B,A)),X_84),
inference(subst,[],[refute_0_369:[bind(X_60,$fot(double_divide(B,A))),bind(X_75,$fot(X_84))]]) ).
cnf(refute_0_483,plain,
( multiply(inverse(X_84),double_divide(B,A)) != double_divide(inverse(double_divide(B,A)),X_84)
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_84),double_divide(B,A)) = double_divide(multiply(A,B),X_84) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_84),double_divide(B,A)),double_divide(inverse(double_divide(B,A)),X_84)) ),[1,0],$fot(multiply(A,B))]]) ).
cnf(refute_0_484,plain,
( multiply(inverse(X_84),double_divide(B,A)) != double_divide(inverse(double_divide(B,A)),X_84)
| multiply(inverse(X_84),double_divide(B,A)) = double_divide(multiply(A,B),X_84) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_37,refute_0_483]) ).
cnf(refute_0_485,plain,
multiply(inverse(X_84),double_divide(B,A)) = double_divide(multiply(A,B),X_84),
inference(resolve,[$cnf( $equal(multiply(inverse(X_84),double_divide(B,A)),double_divide(inverse(double_divide(B,A)),X_84)) )],[refute_0_482,refute_0_484]) ).
cnf(refute_0_486,plain,
multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) = double_divide(multiply(inverse(X_75),X_90),X_75),
inference(subst,[],[refute_0_485:[bind(A,$fot(inverse(X_75))),bind(B,$fot(X_90)),bind(X_84,$fot(X_75))]]) ).
cnf(refute_0_487,plain,
( multiply(inverse(X_75),X_60) != double_divide(inverse(X_60),X_75)
| double_divide(inverse(X_60),X_75) = multiply(inverse(X_75),X_60) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_75),X_60))),bind(Y,$fot(double_divide(inverse(X_60),X_75)))]]) ).
cnf(refute_0_488,plain,
double_divide(inverse(X_60),X_75) = multiply(inverse(X_75),X_60),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),X_60),double_divide(inverse(X_60),X_75)) )],[refute_0_369,refute_0_487]) ).
cnf(refute_0_489,plain,
double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) = multiply(inverse(X_75),double_divide(X_90,inverse(X_75))),
inference(subst,[],[refute_0_488:[bind(X_60,$fot(double_divide(X_90,inverse(X_75))))]]) ).
cnf(refute_0_490,plain,
( multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) != double_divide(multiply(inverse(X_75),X_90),X_75)
| double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) != multiply(inverse(X_75),double_divide(X_90,inverse(X_75)))
| double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) = double_divide(multiply(inverse(X_75),X_90),X_75) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75))),bind(Y,$fot(multiply(inverse(X_75),double_divide(X_90,inverse(X_75))))),bind(Z,$fot(double_divide(multiply(inverse(X_75),X_90),X_75)))]]) ).
cnf(refute_0_491,plain,
( multiply(inverse(X_75),double_divide(X_90,inverse(X_75))) != double_divide(multiply(inverse(X_75),X_90),X_75)
| double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) = double_divide(multiply(inverse(X_75),X_90),X_75) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75),multiply(inverse(X_75),double_divide(X_90,inverse(X_75)))) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) = double_divide(multiply(inverse(X_75),X_90),X_75),
inference(resolve,[$cnf( $equal(multiply(inverse(X_75),double_divide(X_90,inverse(X_75))),double_divide(multiply(inverse(X_75),X_90),X_75)) )],[refute_0_486,refute_0_491]) ).
cnf(refute_0_493,plain,
( double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75) != double_divide(multiply(inverse(X_75),X_90),X_75)
| inverse(X_90) != double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)
| inverse(X_90) = double_divide(multiply(inverse(X_75),X_90),X_75) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_90),double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)) ),[1],$fot(double_divide(multiply(inverse(X_75),X_90),X_75))]]) ).
cnf(refute_0_494,plain,
( inverse(X_90) != double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)
| inverse(X_90) = double_divide(multiply(inverse(X_75),X_90),X_75) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75),double_divide(multiply(inverse(X_75),X_90),X_75)) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
inverse(X_90) = double_divide(multiply(inverse(X_75),X_90),X_75),
inference(resolve,[$cnf( $equal(inverse(X_90),double_divide(inverse(double_divide(X_90,inverse(X_75))),X_75)) )],[refute_0_481,refute_0_494]) ).
cnf(refute_0_496,plain,
inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))),X_92),
inference(subst,[],[refute_0_495:[bind(X_75,$fot(X_92)),bind(X_90,$fot(multiply(X_79,inverse(inverse(X_92)))))]]) ).
cnf(refute_0_497,plain,
multiply(X_74,double_divide(X_74,inverse(X_79))) = inverse(inverse(X_79)),
inference(subst,[],[refute_0_365:[bind(X_73,$fot(inverse(X_79)))]]) ).
cnf(refute_0_498,plain,
multiply(X_74,double_divide(X_74,multiply(inverse(X_74),X_78))) = inverse(multiply(inverse(X_74),X_78)),
inference(subst,[],[refute_0_365:[bind(X_73,$fot(multiply(inverse(X_74),X_78)))]]) ).
cnf(refute_0_499,plain,
multiply(multiply(X_73,double_divide(B,multiply(inverse(B),X_73))),inverse(X_73)) = double_divide(B,multiply(inverse(B),X_73)),
inference(subst,[],[refute_0_333:[bind(X_13,$fot(X_73)),bind(X_63,$fot(double_divide(B,multiply(inverse(B),X_73))))]]) ).
cnf(refute_0_500,plain,
multiply(multiply(multiply(inverse(B),X_63),B),double_divide(B,multiply(inverse(B),X_63))) = identity,
inference(subst,[],[refute_0_207:[bind(A,$fot(multiply(inverse(B),X_63)))]]) ).
cnf(refute_0_501,plain,
multiply(multiply(inverse(B),X_63),B) = X_63,
inference(subst,[],[refute_0_292:[bind(X_60,$fot(B)),bind(X_61,$fot(X_63))]]) ).
cnf(refute_0_502,plain,
( multiply(multiply(multiply(inverse(B),X_63),B),double_divide(B,multiply(inverse(B),X_63))) != identity
| multiply(multiply(inverse(B),X_63),B) != X_63
| multiply(X_63,double_divide(B,multiply(inverse(B),X_63))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(B),X_63),B),double_divide(B,multiply(inverse(B),X_63))),identity) ),[0,0],$fot(X_63)]]) ).
cnf(refute_0_503,plain,
( multiply(multiply(multiply(inverse(B),X_63),B),double_divide(B,multiply(inverse(B),X_63))) != identity
| multiply(X_63,double_divide(B,multiply(inverse(B),X_63))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(B),X_63),B),X_63) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
multiply(X_63,double_divide(B,multiply(inverse(B),X_63))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(B),X_63),B),double_divide(B,multiply(inverse(B),X_63))),identity) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
multiply(X_73,double_divide(B,multiply(inverse(B),X_73))) = identity,
inference(subst,[],[refute_0_504:[bind(X_63,$fot(X_73))]]) ).
cnf(refute_0_506,plain,
( multiply(X_73,double_divide(B,multiply(inverse(B),X_73))) != identity
| multiply(multiply(X_73,double_divide(B,multiply(inverse(B),X_73))),inverse(X_73)) != double_divide(B,multiply(inverse(B),X_73))
| multiply(identity,inverse(X_73)) = double_divide(B,multiply(inverse(B),X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_73,double_divide(B,multiply(inverse(B),X_73))),inverse(X_73)),double_divide(B,multiply(inverse(B),X_73))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_507,plain,
( multiply(multiply(X_73,double_divide(B,multiply(inverse(B),X_73))),inverse(X_73)) != double_divide(B,multiply(inverse(B),X_73))
| multiply(identity,inverse(X_73)) = double_divide(B,multiply(inverse(B),X_73)) ),
inference(resolve,[$cnf( $equal(multiply(X_73,double_divide(B,multiply(inverse(B),X_73))),identity) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(identity,inverse(X_73)) = double_divide(B,multiply(inverse(B),X_73)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_73,double_divide(B,multiply(inverse(B),X_73))),inverse(X_73)),double_divide(B,multiply(inverse(B),X_73))) )],[refute_0_499,refute_0_507]) ).
cnf(refute_0_509,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_325:[bind(X_62,$fot(X_3))]]) ).
cnf(refute_0_510,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_511,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_317,refute_0_511]) ).
cnf(refute_0_513,plain,
multiply(identity,inverse(X_73)) = inverse(X_73),
inference(subst,[],[refute_0_512:[bind(X_3,$fot(inverse(X_73)))]]) ).
cnf(refute_0_514,plain,
( multiply(identity,inverse(X_73)) != double_divide(B,multiply(inverse(B),X_73))
| multiply(identity,inverse(X_73)) != inverse(X_73)
| inverse(X_73) = double_divide(B,multiply(inverse(B),X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,inverse(X_73)),double_divide(B,multiply(inverse(B),X_73))) ),[0],$fot(inverse(X_73))]]) ).
cnf(refute_0_515,plain,
( multiply(identity,inverse(X_73)) != double_divide(B,multiply(inverse(B),X_73))
| inverse(X_73) = double_divide(B,multiply(inverse(B),X_73)) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_73)),inverse(X_73)) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
inverse(X_73) = double_divide(B,multiply(inverse(B),X_73)),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(X_73)),double_divide(B,multiply(inverse(B),X_73))) )],[refute_0_508,refute_0_515]) ).
cnf(refute_0_517,plain,
inverse(X_78) = double_divide(X_74,multiply(inverse(X_74),X_78)),
inference(subst,[],[refute_0_516:[bind(B,$fot(X_74)),bind(X_73,$fot(X_78))]]) ).
cnf(refute_0_518,plain,
( inverse(X_78) != double_divide(X_74,multiply(inverse(X_74),X_78))
| double_divide(X_74,multiply(inverse(X_74),X_78)) = inverse(X_78) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_78))),bind(Y,$fot(double_divide(X_74,multiply(inverse(X_74),X_78))))]]) ).
cnf(refute_0_519,plain,
double_divide(X_74,multiply(inverse(X_74),X_78)) = inverse(X_78),
inference(resolve,[$cnf( $equal(inverse(X_78),double_divide(X_74,multiply(inverse(X_74),X_78))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
( multiply(X_74,double_divide(X_74,multiply(inverse(X_74),X_78))) != inverse(multiply(inverse(X_74),X_78))
| double_divide(X_74,multiply(inverse(X_74),X_78)) != inverse(X_78)
| multiply(X_74,inverse(X_78)) = inverse(multiply(inverse(X_74),X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_74,double_divide(X_74,multiply(inverse(X_74),X_78))),inverse(multiply(inverse(X_74),X_78))) ),[0,1],$fot(inverse(X_78))]]) ).
cnf(refute_0_521,plain,
( multiply(X_74,double_divide(X_74,multiply(inverse(X_74),X_78))) != inverse(multiply(inverse(X_74),X_78))
| multiply(X_74,inverse(X_78)) = inverse(multiply(inverse(X_74),X_78)) ),
inference(resolve,[$cnf( $equal(double_divide(X_74,multiply(inverse(X_74),X_78)),inverse(X_78)) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
multiply(X_74,inverse(X_78)) = inverse(multiply(inverse(X_74),X_78)),
inference(resolve,[$cnf( $equal(multiply(X_74,double_divide(X_74,multiply(inverse(X_74),X_78))),inverse(multiply(inverse(X_74),X_78))) )],[refute_0_498,refute_0_521]) ).
cnf(refute_0_523,plain,
inverse(multiply(inverse(X_74),X_78)) = double_divide(X_78,inverse(X_74)),
inference(subst,[],[refute_0_357:[bind(A,$fot(inverse(X_74))),bind(B,$fot(X_78))]]) ).
cnf(refute_0_524,plain,
( multiply(X_74,inverse(X_78)) != inverse(multiply(inverse(X_74),X_78))
| inverse(multiply(inverse(X_74),X_78)) != double_divide(X_78,inverse(X_74))
| multiply(X_74,inverse(X_78)) = double_divide(X_78,inverse(X_74)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_74,inverse(X_78)),double_divide(X_78,inverse(X_74))) ),[0],$fot(inverse(multiply(inverse(X_74),X_78)))]]) ).
cnf(refute_0_525,plain,
( multiply(X_74,inverse(X_78)) != inverse(multiply(inverse(X_74),X_78))
| multiply(X_74,inverse(X_78)) = double_divide(X_78,inverse(X_74)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_74),X_78)),double_divide(X_78,inverse(X_74))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
multiply(X_74,inverse(X_78)) = double_divide(X_78,inverse(X_74)),
inference(resolve,[$cnf( $equal(multiply(X_74,inverse(X_78)),inverse(multiply(inverse(X_74),X_78))) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
multiply(X_79,inverse(X_74)) = double_divide(X_74,inverse(X_79)),
inference(subst,[],[refute_0_526:[bind(X_74,$fot(X_79)),bind(X_78,$fot(X_74))]]) ).
cnf(refute_0_528,plain,
( multiply(X_79,inverse(X_74)) != double_divide(X_74,inverse(X_79))
| double_divide(X_74,inverse(X_79)) = multiply(X_79,inverse(X_74)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_79,inverse(X_74)))),bind(Y,$fot(double_divide(X_74,inverse(X_79))))]]) ).
cnf(refute_0_529,plain,
double_divide(X_74,inverse(X_79)) = multiply(X_79,inverse(X_74)),
inference(resolve,[$cnf( $equal(multiply(X_79,inverse(X_74)),double_divide(X_74,inverse(X_79))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
( multiply(X_74,double_divide(X_74,inverse(X_79))) != inverse(inverse(X_79))
| double_divide(X_74,inverse(X_79)) != multiply(X_79,inverse(X_74))
| multiply(X_74,multiply(X_79,inverse(X_74))) = inverse(inverse(X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_74,double_divide(X_74,inverse(X_79))),inverse(inverse(X_79))) ),[0,1],$fot(multiply(X_79,inverse(X_74)))]]) ).
cnf(refute_0_531,plain,
( multiply(X_74,double_divide(X_74,inverse(X_79))) != inverse(inverse(X_79))
| multiply(X_74,multiply(X_79,inverse(X_74))) = inverse(inverse(X_79)) ),
inference(resolve,[$cnf( $equal(double_divide(X_74,inverse(X_79)),multiply(X_79,inverse(X_74))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
multiply(X_74,multiply(X_79,inverse(X_74))) = inverse(inverse(X_79)),
inference(resolve,[$cnf( $equal(multiply(X_74,double_divide(X_74,inverse(X_79))),inverse(inverse(X_79))) )],[refute_0_497,refute_0_531]) ).
cnf(refute_0_533,plain,
inverse(inverse(X_79)) = X_79,
inference(subst,[],[refute_0_325:[bind(X_62,$fot(X_79))]]) ).
cnf(refute_0_534,plain,
( multiply(X_74,multiply(X_79,inverse(X_74))) != inverse(inverse(X_79))
| inverse(inverse(X_79)) != X_79
| multiply(X_74,multiply(X_79,inverse(X_74))) = X_79 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_74,multiply(X_79,inverse(X_74))),X_79) ),[0],$fot(inverse(inverse(X_79)))]]) ).
cnf(refute_0_535,plain,
( multiply(X_74,multiply(X_79,inverse(X_74))) != inverse(inverse(X_79))
| multiply(X_74,multiply(X_79,inverse(X_74))) = X_79 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_79)),X_79) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(X_74,multiply(X_79,inverse(X_74))) = X_79,
inference(resolve,[$cnf( $equal(multiply(X_74,multiply(X_79,inverse(X_74))),inverse(inverse(X_79))) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))) = X_79,
inference(subst,[],[refute_0_536:[bind(X_74,$fot(inverse(X_92)))]]) ).
cnf(refute_0_538,plain,
( multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))) != X_79
| inverse(multiply(X_79,inverse(inverse(X_92)))) != double_divide(multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))),X_92)
| inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(X_79,X_92) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_79,inverse(inverse(X_92)))),double_divide(multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))),X_92)) ),[1,0],$fot(X_79)]]) ).
cnf(refute_0_539,plain,
( inverse(multiply(X_79,inverse(inverse(X_92)))) != double_divide(multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))),X_92)
| inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(X_79,X_92) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))),X_79) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(X_79,X_92),
inference(resolve,[$cnf( $equal(inverse(multiply(X_79,inverse(inverse(X_92)))),double_divide(multiply(inverse(X_92),multiply(X_79,inverse(inverse(X_92)))),X_92)) )],[refute_0_496,refute_0_539]) ).
cnf(refute_0_541,plain,
multiply(multiply(X_13,double_divide(X_13,X_75)),inverse(X_13)) = double_divide(X_13,X_75),
inference(subst,[],[refute_0_333:[bind(X_63,$fot(double_divide(X_13,X_75)))]]) ).
cnf(refute_0_542,plain,
multiply(X_13,double_divide(X_13,X_75)) = inverse(X_75),
inference(subst,[],[refute_0_365:[bind(X_73,$fot(X_75)),bind(X_74,$fot(X_13))]]) ).
cnf(refute_0_543,plain,
( multiply(X_13,double_divide(X_13,X_75)) != inverse(X_75)
| multiply(multiply(X_13,double_divide(X_13,X_75)),inverse(X_13)) != double_divide(X_13,X_75)
| multiply(inverse(X_75),inverse(X_13)) = double_divide(X_13,X_75) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_13,double_divide(X_13,X_75)),inverse(X_13)),double_divide(X_13,X_75)) ),[0,0],$fot(inverse(X_75))]]) ).
cnf(refute_0_544,plain,
( multiply(multiply(X_13,double_divide(X_13,X_75)),inverse(X_13)) != double_divide(X_13,X_75)
| multiply(inverse(X_75),inverse(X_13)) = double_divide(X_13,X_75) ),
inference(resolve,[$cnf( $equal(multiply(X_13,double_divide(X_13,X_75)),inverse(X_75)) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
multiply(inverse(X_75),inverse(X_13)) = double_divide(X_13,X_75),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,double_divide(X_13,X_75)),inverse(X_13)),double_divide(X_13,X_75)) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(inverse(X_79),inverse(X_92)) = double_divide(X_92,X_79),
inference(subst,[],[refute_0_545:[bind(X_13,$fot(X_92)),bind(X_75,$fot(X_79))]]) ).
cnf(refute_0_547,plain,
double_divide(inverse(inverse(X_92)),X_79) = multiply(inverse(X_79),inverse(X_92)),
inference(subst,[],[refute_0_488:[bind(X_60,$fot(inverse(X_92))),bind(X_75,$fot(X_79))]]) ).
cnf(refute_0_548,plain,
( multiply(inverse(X_79),inverse(X_92)) != double_divide(X_92,X_79)
| double_divide(inverse(inverse(X_92)),X_79) != multiply(inverse(X_79),inverse(X_92))
| double_divide(inverse(inverse(X_92)),X_79) = double_divide(X_92,X_79) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(double_divide(inverse(inverse(X_92)),X_79))),bind(Y,$fot(multiply(inverse(X_79),inverse(X_92)))),bind(Z,$fot(double_divide(X_92,X_79)))]]) ).
cnf(refute_0_549,plain,
( multiply(inverse(X_79),inverse(X_92)) != double_divide(X_92,X_79)
| double_divide(inverse(inverse(X_92)),X_79) = double_divide(X_92,X_79) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_92)),X_79),multiply(inverse(X_79),inverse(X_92))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
double_divide(inverse(inverse(X_92)),X_79) = double_divide(X_92,X_79),
inference(resolve,[$cnf( $equal(multiply(inverse(X_79),inverse(X_92)),double_divide(X_92,X_79)) )],[refute_0_546,refute_0_549]) ).
cnf(refute_0_551,plain,
inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(inverse(inverse(X_92)),X_79),
inference(subst,[],[refute_0_357:[bind(A,$fot(X_79)),bind(B,$fot(inverse(inverse(X_92))))]]) ).
cnf(refute_0_552,plain,
( double_divide(inverse(inverse(X_92)),X_79) != double_divide(X_92,X_79)
| inverse(multiply(X_79,inverse(inverse(X_92)))) != double_divide(inverse(inverse(X_92)),X_79)
| inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(X_92,X_79) ),
inference(subst,[],[refute_0_28:[bind(X,$fot(inverse(multiply(X_79,inverse(inverse(X_92)))))),bind(Y,$fot(double_divide(inverse(inverse(X_92)),X_79))),bind(Z,$fot(double_divide(X_92,X_79)))]]) ).
cnf(refute_0_553,plain,
( double_divide(inverse(inverse(X_92)),X_79) != double_divide(X_92,X_79)
| inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(X_92,X_79) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_79,inverse(inverse(X_92)))),double_divide(inverse(inverse(X_92)),X_79)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
inverse(multiply(X_79,inverse(inverse(X_92)))) = double_divide(X_92,X_79),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(X_92)),X_79),double_divide(X_92,X_79)) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
( inverse(multiply(X_79,inverse(inverse(X_92)))) != double_divide(X_79,X_92)
| inverse(multiply(X_79,inverse(inverse(X_92)))) != double_divide(X_92,X_79)
| double_divide(X_92,X_79) = double_divide(X_79,X_92) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_79,inverse(inverse(X_92)))),double_divide(X_79,X_92)) ),[0],$fot(double_divide(X_92,X_79))]]) ).
cnf(refute_0_556,plain,
( inverse(multiply(X_79,inverse(inverse(X_92)))) != double_divide(X_79,X_92)
| double_divide(X_92,X_79) = double_divide(X_79,X_92) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_79,inverse(inverse(X_92)))),double_divide(X_92,X_79)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
double_divide(X_92,X_79) = double_divide(X_79,X_92),
inference(resolve,[$cnf( $equal(inverse(multiply(X_79,inverse(inverse(X_92)))),double_divide(X_79,X_92)) )],[refute_0_540,refute_0_556]) ).
cnf(refute_0_558,plain,
double_divide(B,A) = double_divide(A,B),
inference(subst,[],[refute_0_557:[bind(X_79,$fot(A)),bind(X_92,$fot(B))]]) ).
cnf(refute_0_559,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| double_divide(B,A) != double_divide(A,B)
| multiply(A,B) = inverse(double_divide(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) ),[1,0],$fot(double_divide(A,B))]]) ).
cnf(refute_0_560,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(A,B)) ),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiply(A,B) = inverse(double_divide(A,B)),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_8,refute_0_560]) ).
cnf(refute_0_562,plain,
inverse(double_divide(A,B)) = multiply(B,A),
inference(subst,[],[refute_0_37:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_563,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| inverse(double_divide(A,B)) != multiply(B,A)
| multiply(A,B) = multiply(B,A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),multiply(B,A)) ),[0],$fot(inverse(double_divide(A,B)))]]) ).
cnf(refute_0_564,plain,
( multiply(A,B) != inverse(double_divide(A,B))
| multiply(A,B) = multiply(B,A) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,B)),multiply(B,A)) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(A,B) = multiply(B,A),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(A,B))) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
( multiply(A,B) != multiply(B,A)
| multiply(B,A) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(multiply(B,A)))]]) ).
cnf(refute_0_567,plain,
multiply(B,A) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),multiply(B,A)) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
multiply(b,a) = multiply(a,b),
inference(subst,[],[refute_0_567:[bind(A,$fot(a)),bind(B,$fot(b))]]) ).
cnf(refute_0_569,plain,
( multiply(a,b) != multiply(a,b)
| multiply(b,a) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,b),multiply(b,a)) ),[1],$fot(multiply(a,b))]]) ).
cnf(refute_0_570,plain,
( multiply(a,b) != multiply(a,b)
| multiply(a,b) = multiply(b,a) ),
inference(resolve,[$cnf( $equal(multiply(b,a),multiply(a,b)) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
multiply(a,b) != multiply(a,b),
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(b,a)) )],[refute_0_570,prove_these_axioms_4]) ).
cnf(refute_0_572,plain,
multiply(a,b) = multiply(a,b),
introduced(tautology,[refl,[$fot(multiply(a,b))]]) ).
cnf(refute_0_573,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,b),multiply(a,b)) )],[refute_0_572,refute_0_571]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP576-1 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n022.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 13:27:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.46 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46
% 0.19/0.46 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.36/0.54
%------------------------------------------------------------------------------