TSTP Solution File: GRP579-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:30 EDT 2022
% Result : Unsatisfiable 0.77s 0.99s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 184
% Number of leaves : 329
% Syntax : Number of clauses : 1336 ( 659 unt; 0 nHn; 683 RR)
% Number of literals : 2327 (2326 equ; 994 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 2730 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = C ).
cnf(multiply,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity) ).
cnf(inverse,axiom,
inverse(A) = double_divide(A,identity) ).
cnf(identity,axiom,
identity = double_divide(A,inverse(A)) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_6,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)))]]) ).
cnf(refute_0_7,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_8,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
double_divide(B,identity) = inverse(B),
inference(subst,[],[refute_0_4:[bind(A,$fot(B))]]) ).
cnf(refute_0_11,plain,
double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)) = double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)))]]) ).
cnf(refute_0_12,plain,
( double_divide(B,identity) != inverse(B)
| double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)) != double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))
| double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)) = double_divide(double_divide(double_divide(B,A),C),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)),double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) ),[1,1],$fot(inverse(B))]]) ).
cnf(refute_0_13,plain,
( double_divide(B,identity) != inverse(B)
| double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)) = double_divide(double_divide(double_divide(B,A),C),inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)),double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)) = double_divide(double_divide(double_divide(B,A),C),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(B,identity),inverse(B)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) = double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))))]]) ).
cnf(refute_0_16,plain,
( double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) != double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)))
| double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)) != double_divide(double_divide(double_divide(B,A),C),inverse(B))
| double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) = double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)))) ),[1,1],$fot(double_divide(double_divide(double_divide(B,A),C),inverse(B)))]]) ).
cnf(refute_0_17,plain,
( double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)) != double_divide(double_divide(double_divide(B,A),C),inverse(B))
| double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) = double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) = double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity)),double_divide(double_divide(double_divide(B,A),C),inverse(B))) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_20,plain,
( double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) != double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))))]]) ).
cnf(refute_0_21,plain,
( double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))) != double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_23]) ).
cnf(refute_0_25,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)))),bind(Z,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))))]]) ).
cnf(refute_0_26,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))) )],[refute_0_9,refute_0_26]) ).
cnf(refute_0_28,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),C) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)))]]) ).
cnf(refute_0_29,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),double_divide(B,identity))),double_divide(identity,identity)),C) )],[single_axiom,refute_0_29]) ).
cnf(refute_0_31,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)),
inference(subst,[],[refute_0_30:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(inverse(double_divide(X_11,X_10))))]]) ).
cnf(refute_0_32,plain,
identity = double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_33,plain,
( identity != double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10)))
| double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_34,plain,
double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10)))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))) != identity
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)),inverse(double_divide(X_11,X_10))) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_36,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),identity) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = inverse(double_divide(X_11,X_10)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),inverse(double_divide(X_11,X_10))),inverse(X_11))),inverse(identity)),inverse(double_divide(X_11,X_10))) )],[refute_0_31,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_39,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_40,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| multiply(A,B) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),identity),inverse(double_divide(B,A))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_40]) ).
cnf(refute_0_42,plain,
( multiply(A,B) != inverse(double_divide(B,A))
| inverse(double_divide(B,A)) = multiply(A,B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(A,B))),bind(Y,$fot(inverse(double_divide(B,A))))]]) ).
cnf(refute_0_43,plain,
inverse(double_divide(B,A)) = multiply(A,B),
inference(resolve,[$cnf( $equal(multiply(A,B),inverse(double_divide(B,A))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
inverse(double_divide(X_11,X_10)) = multiply(X_10,X_11),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_10)),bind(B,$fot(X_11))]]) ).
cnf(refute_0_45,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| inverse(double_divide(X_11,X_10)) != multiply(X_10,X_11)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(X_10,X_11)) ),[0],$fot(inverse(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_46,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_10)),multiply(X_10,X_11)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),inverse(double_divide(X_11,X_10))) )],[refute_0_37,refute_0_46]) ).
cnf(refute_0_48,plain,
inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))) = multiply(double_divide(identity,inverse(X_11)),X_10),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(identity,inverse(X_11)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_49,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(identity,inverse(X_11)))))]]) ).
cnf(refute_0_50,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) != inverse(double_divide(X_10,double_divide(identity,inverse(X_11))))
| inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))))),bind(Z,$fot(multiply(double_divide(identity,inverse(X_11)),X_10)))]]) ).
cnf(refute_0_51,plain,
( inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity),inverse(double_divide(X_10,double_divide(identity,inverse(X_11))))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) = multiply(double_divide(identity,inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(identity,inverse(X_11)))),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11),
inference(subst,[],[refute_0_47:[bind(X_10,$fot(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity))))]]) ).
cnf(refute_0_54,plain,
identity = double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(X_3,X_2)))]]) ).
cnf(refute_0_55,plain,
multiply(X_2,X_3) = inverse(double_divide(X_3,X_2)),
inference(subst,[],[refute_0_41:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_56,plain,
( multiply(X_2,X_3) != inverse(double_divide(X_3,X_2))
| inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_2,X_3))),bind(Y,$fot(inverse(double_divide(X_3,X_2))))]]) ).
cnf(refute_0_57,plain,
inverse(double_divide(X_3,X_2)) = multiply(X_2,X_3),
inference(resolve,[$cnf( $equal(multiply(X_2,X_3),inverse(double_divide(X_3,X_2))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( identity != double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))
| inverse(double_divide(X_3,X_2)) != multiply(X_2,X_3)
| identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)) ),
introduced(tautology,[equality,[$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_59,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( $equal(inverse(double_divide(X_3,X_2)),multiply(X_2,X_3)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
identity = double_divide(double_divide(X_3,X_2),multiply(X_2,X_3)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(X_3,X_2),inverse(double_divide(X_3,X_2)))) )],[refute_0_54,refute_0_59]) ).
cnf(refute_0_61,plain,
identity = double_divide(double_divide(identity,multiply(X_18,identity)),multiply(multiply(X_18,identity),identity)),
inference(subst,[],[refute_0_60:[bind(X_2,$fot(multiply(X_18,identity))),bind(X_3,$fot(identity))]]) ).
cnf(refute_0_62,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_30:[bind(A,$fot(inverse(X_11))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_63,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_64,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_65,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
( double_divide(X_11,inverse(X_11)) != identity
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_12),inverse(X_11))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)),X_12) ),[0,0,1,0,0],$fot(identity)]]) ).
cnf(refute_0_67,plain,
( double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_12),inverse(X_11))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
double_divide(double_divide(inverse(X_11),double_divide(double_divide(identity,X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_11),double_divide(double_divide(double_divide(X_11,inverse(X_11)),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_62,refute_0_67]) ).
cnf(refute_0_69,plain,
double_divide(double_divide(inverse(double_divide(identity,X_17)),double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))),inverse(identity)) = X_17,
inference(subst,[],[refute_0_68:[bind(X_11,$fot(double_divide(identity,X_17))),bind(X_12,$fot(X_17))]]) ).
cnf(refute_0_70,plain,
identity = double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17))),
inference(subst,[],[identity:[bind(A,$fot(double_divide(identity,X_17)))]]) ).
cnf(refute_0_71,plain,
( identity != double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))
| double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))))]]) ).
cnf(refute_0_72,plain,
double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
( double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17))) != identity
| double_divide(double_divide(inverse(double_divide(identity,X_17)),double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))),inverse(identity)) != X_17
| double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))),inverse(identity)),X_17) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_74,plain,
( double_divide(double_divide(inverse(double_divide(identity,X_17)),double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))),inverse(identity)) != X_17
| double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = X_17 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17))),identity) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = X_17,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),double_divide(double_divide(identity,X_17),inverse(double_divide(identity,X_17)))),inverse(identity)),X_17) )],[refute_0_69,refute_0_74]) ).
cnf(refute_0_76,plain,
double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = multiply(X_13,identity),
inference(subst,[],[refute_0_47:[bind(X_10,$fot(X_13)),bind(X_11,$fot(identity))]]) ).
cnf(refute_0_77,plain,
identity = double_divide(identity,inverse(identity)),
inference(subst,[],[identity:[bind(A,$fot(identity))]]) ).
cnf(refute_0_78,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_79,plain,
double_divide(identity,inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(identity,inverse(identity))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != multiply(X_13,identity)
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(X_13,identity),inverse(identity)) = multiply(X_13,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),multiply(X_13,identity)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_81,plain,
( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != multiply(X_13,identity)
| double_divide(double_divide(X_13,identity),inverse(identity)) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),multiply(X_13,identity)) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
double_divide(X_13,identity) = inverse(X_13),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_84,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(double_divide(X_13,identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,identity),inverse(identity)))]]) ).
cnf(refute_0_85,plain,
( double_divide(X_13,identity) != inverse(X_13)
| double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(double_divide(X_13,identity),inverse(identity))
| double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) ),[1,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_86,plain,
( double_divide(X_13,identity) != inverse(X_13)
| double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(double_divide(X_13,identity),inverse(identity))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
double_divide(double_divide(X_13,identity),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_13,identity),inverse(X_13)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( double_divide(double_divide(X_13,identity),inverse(identity)) != multiply(X_13,identity)
| double_divide(double_divide(X_13,identity),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| double_divide(inverse(X_13),inverse(identity)) = multiply(X_13,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),multiply(X_13,identity)) ),[0],$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_89,plain,
( double_divide(double_divide(X_13,identity),inverse(identity)) != multiply(X_13,identity)
| double_divide(inverse(X_13),inverse(identity)) = multiply(X_13,identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
double_divide(inverse(X_13),inverse(identity)) = multiply(X_13,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,identity),inverse(identity)),multiply(X_13,identity)) )],[refute_0_82,refute_0_89]) ).
cnf(refute_0_91,plain,
double_divide(inverse(multiply(X_17,identity)),inverse(identity)) = multiply(multiply(X_17,identity),identity),
inference(subst,[],[refute_0_90:[bind(X_13,$fot(multiply(X_17,identity)))]]) ).
cnf(refute_0_92,plain,
inverse(double_divide(identity,X_17)) = multiply(X_17,identity),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_17)),bind(B,$fot(identity))]]) ).
cnf(refute_0_93,plain,
inverse(inverse(double_divide(identity,X_17))) = inverse(inverse(double_divide(identity,X_17))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(identity,X_17))))]]) ).
cnf(refute_0_94,plain,
( inverse(double_divide(identity,X_17)) != multiply(X_17,identity)
| inverse(inverse(double_divide(identity,X_17))) != inverse(inverse(double_divide(identity,X_17)))
| inverse(inverse(double_divide(identity,X_17))) = inverse(multiply(X_17,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(identity,X_17))),inverse(inverse(double_divide(identity,X_17)))) ),[1,0],$fot(multiply(X_17,identity))]]) ).
cnf(refute_0_95,plain,
( inverse(double_divide(identity,X_17)) != multiply(X_17,identity)
| inverse(inverse(double_divide(identity,X_17))) = inverse(multiply(X_17,identity)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_17))),inverse(inverse(double_divide(identity,X_17)))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
inverse(inverse(double_divide(identity,X_17))) = inverse(multiply(X_17,identity)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,X_17)),multiply(X_17,identity)) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(inverse(double_divide(identity,X_17)),identity) = inverse(inverse(double_divide(identity,X_17))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(double_divide(identity,X_17))))]]) ).
cnf(refute_0_98,plain,
( double_divide(inverse(double_divide(identity,X_17)),identity) != inverse(inverse(double_divide(identity,X_17)))
| inverse(inverse(double_divide(identity,X_17))) != inverse(multiply(X_17,identity))
| double_divide(inverse(double_divide(identity,X_17)),identity) = inverse(multiply(X_17,identity)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(double_divide(identity,X_17)),identity))),bind(Y,$fot(inverse(inverse(double_divide(identity,X_17))))),bind(Z,$fot(inverse(multiply(X_17,identity))))]]) ).
cnf(refute_0_99,plain,
( inverse(inverse(double_divide(identity,X_17))) != inverse(multiply(X_17,identity))
| double_divide(inverse(double_divide(identity,X_17)),identity) = inverse(multiply(X_17,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(inverse(double_divide(identity,X_17)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(inverse(double_divide(identity,X_17)),identity) = inverse(multiply(X_17,identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(identity,X_17))),inverse(multiply(X_17,identity))) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)))]]) ).
cnf(refute_0_102,plain,
( double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) != double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity))
| double_divide(inverse(double_divide(identity,X_17)),identity) != inverse(multiply(X_17,identity))
| double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = double_divide(inverse(multiply(X_17,identity)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)),double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity))) ),[1,0],$fot(inverse(multiply(X_17,identity)))]]) ).
cnf(refute_0_103,plain,
( double_divide(inverse(double_divide(identity,X_17)),identity) != inverse(multiply(X_17,identity))
| double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = double_divide(inverse(multiply(X_17,identity)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)),double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = double_divide(inverse(multiply(X_17,identity)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(multiply(X_17,identity))) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
( double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) != double_divide(inverse(multiply(X_17,identity)),inverse(identity))
| double_divide(inverse(multiply(X_17,identity)),inverse(identity)) != multiply(multiply(X_17,identity),identity)
| double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = multiply(multiply(X_17,identity),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)))),bind(Y,$fot(double_divide(inverse(multiply(X_17,identity)),inverse(identity)))),bind(Z,$fot(multiply(multiply(X_17,identity),identity)))]]) ).
cnf(refute_0_106,plain,
( double_divide(inverse(multiply(X_17,identity)),inverse(identity)) != multiply(multiply(X_17,identity),identity)
| double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = multiply(multiply(X_17,identity),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)),double_divide(inverse(multiply(X_17,identity)),inverse(identity))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) = multiply(multiply(X_17,identity),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(multiply(X_17,identity)),inverse(identity)),multiply(multiply(X_17,identity),identity)) )],[refute_0_91,refute_0_106]) ).
cnf(refute_0_108,plain,
( double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) != X_17
| double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) != multiply(multiply(X_17,identity),identity)
| multiply(multiply(X_17,identity),identity) = X_17 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)),X_17) ),[0],$fot(multiply(multiply(X_17,identity),identity))]]) ).
cnf(refute_0_109,plain,
( double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)) != X_17
| multiply(multiply(X_17,identity),identity) = X_17 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)),multiply(multiply(X_17,identity),identity)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(multiply(X_17,identity),identity) = X_17,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(double_divide(identity,X_17)),identity),inverse(identity)),X_17) )],[refute_0_75,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(multiply(X_18,identity),identity) = X_18,
inference(subst,[],[refute_0_110:[bind(X_17,$fot(X_18))]]) ).
cnf(refute_0_112,plain,
( multiply(multiply(X_18,identity),identity) != X_18
| identity != double_divide(double_divide(identity,multiply(X_18,identity)),multiply(multiply(X_18,identity),identity))
| identity = double_divide(double_divide(identity,multiply(X_18,identity)),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(identity,multiply(X_18,identity)),multiply(multiply(X_18,identity),identity))) ),[1,1],$fot(X_18)]]) ).
cnf(refute_0_113,plain,
( identity != double_divide(double_divide(identity,multiply(X_18,identity)),multiply(multiply(X_18,identity),identity))
| identity = double_divide(double_divide(identity,multiply(X_18,identity)),X_18) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_18,identity),identity),X_18) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
identity = double_divide(double_divide(identity,multiply(X_18,identity)),X_18),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,multiply(X_18,identity)),multiply(multiply(X_18,identity),identity))) )],[refute_0_61,refute_0_113]) ).
cnf(refute_0_115,plain,
identity = double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))),
inference(subst,[],[refute_0_114:[bind(X_18,$fot(double_divide(identity,inverse(X_11))))]]) ).
cnf(refute_0_116,plain,
( identity != double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11)))
| double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11)))))]]) ).
cnf(refute_0_117,plain,
double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11)))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
( double_divide(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)
| double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))) != identity
| double_divide(identity,inverse(identity)) = multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))),inverse(identity)),multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_119,plain,
( double_divide(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)
| double_divide(identity,inverse(identity)) = multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))),identity) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
double_divide(identity,inverse(identity)) = multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),double_divide(identity,inverse(X_11))),inverse(identity)),multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)) )],[refute_0_53,refute_0_119]) ).
cnf(refute_0_121,plain,
( double_divide(identity,inverse(identity)) != multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)
| double_divide(identity,inverse(identity)) != identity
| identity = multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,inverse(identity)),multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)) ),[0],$fot(identity)]]) ).
cnf(refute_0_122,plain,
( double_divide(identity,inverse(identity)) != multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)
| identity = multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_79,refute_0_121]) ).
cnf(refute_0_123,plain,
identity = multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)) )],[refute_0_120,refute_0_122]) ).
cnf(refute_0_124,plain,
identity = multiply(double_divide(identity,multiply(double_divide(identity,inverse(inverse(inverse(identity)))),identity)),inverse(inverse(identity))),
inference(subst,[],[refute_0_123:[bind(X_11,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_125,plain,
identity = double_divide(double_divide(identity,inverse(inverse(identity))),multiply(inverse(inverse(identity)),identity)),
inference(subst,[],[refute_0_60:[bind(X_2,$fot(inverse(inverse(identity)))),bind(X_3,$fot(identity))]]) ).
cnf(refute_0_126,plain,
multiply(multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity),identity) = double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),
inference(subst,[],[refute_0_110:[bind(X_17,$fot(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))))]]) ).
cnf(refute_0_127,plain,
identity = multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity),
inference(subst,[],[refute_0_123:[bind(X_11,$fot(identity))]]) ).
cnf(refute_0_128,plain,
( identity != multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity)
| multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity)))]]) ).
cnf(refute_0_129,plain,
multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( multiply(multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity),identity) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity) != identity
| multiply(identity,identity) = double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity),identity),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_131,plain,
( multiply(multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity),identity) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| multiply(identity,identity) = double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity),identity) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(identity,identity) = double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),identity),identity),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) )],[refute_0_126,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_41:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_134,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_135,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_136,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_138,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_133,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(identity,identity) = inverse(inverse(identity)),
inference(subst,[],[refute_0_139:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_141,plain,
( multiply(identity,identity) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| multiply(identity,identity) != inverse(inverse(identity))
| inverse(inverse(identity)) = double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,identity),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) ),[0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_142,plain,
( multiply(identity,identity) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| inverse(inverse(identity)) = double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) ),
inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
multiply(double_divide(identity,inverse(identity)),identity) = multiply(double_divide(identity,inverse(identity)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(identity)),identity))]]) ).
cnf(refute_0_144,plain,
( multiply(double_divide(identity,inverse(identity)),identity) != multiply(double_divide(identity,inverse(identity)),identity)
| double_divide(identity,inverse(identity)) != identity
| multiply(double_divide(identity,inverse(identity)),identity) = multiply(identity,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(identity)),identity),multiply(double_divide(identity,inverse(identity)),identity)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_145,plain,
( double_divide(identity,inverse(identity)) != identity
| multiply(double_divide(identity,inverse(identity)),identity) = multiply(identity,identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(identity)),identity),multiply(double_divide(identity,inverse(identity)),identity)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(double_divide(identity,inverse(identity)),identity) = multiply(identity,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_79,refute_0_145]) ).
cnf(refute_0_147,plain,
( multiply(double_divide(identity,inverse(identity)),identity) != multiply(identity,identity)
| multiply(identity,identity) != inverse(inverse(identity))
| multiply(double_divide(identity,inverse(identity)),identity) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(double_divide(identity,inverse(identity)),identity))),bind(Y,$fot(multiply(identity,identity))),bind(Z,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_148,plain,
( multiply(identity,identity) != inverse(inverse(identity))
| multiply(double_divide(identity,inverse(identity)),identity) = inverse(inverse(identity)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(identity)),identity),multiply(identity,identity)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
multiply(double_divide(identity,inverse(identity)),identity) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_140,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) = double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)))]]) ).
cnf(refute_0_151,plain,
( multiply(double_divide(identity,inverse(identity)),identity) != inverse(inverse(identity))
| double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) = double_divide(identity,inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) ),[1,1],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_152,plain,
( multiply(double_divide(identity,inverse(identity)),identity) != inverse(inverse(identity))
| double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) = double_divide(identity,inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) = double_divide(identity,inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(identity)),identity),inverse(inverse(identity))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
( double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)) != double_divide(identity,inverse(inverse(identity)))
| inverse(inverse(identity)) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| inverse(inverse(identity)) = double_divide(identity,inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) ),[1],$fot(double_divide(identity,inverse(inverse(identity))))]]) ).
cnf(refute_0_155,plain,
( inverse(inverse(identity)) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| inverse(inverse(identity)) = double_divide(identity,inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity)),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( multiply(identity,identity) != double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))
| inverse(inverse(identity)) = double_divide(identity,inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) )],[refute_0_142,refute_0_155]) ).
cnf(refute_0_157,plain,
inverse(inverse(identity)) = double_divide(identity,inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(multiply(identity,identity),double_divide(identity,multiply(double_divide(identity,inverse(identity)),identity))) )],[refute_0_132,refute_0_156]) ).
cnf(refute_0_158,plain,
( inverse(inverse(identity)) != double_divide(identity,inverse(inverse(identity)))
| double_divide(identity,inverse(inverse(identity))) = inverse(inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(double_divide(identity,inverse(inverse(identity)))))]]) ).
cnf(refute_0_159,plain,
double_divide(identity,inverse(inverse(identity))) = inverse(inverse(identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),double_divide(identity,inverse(inverse(identity)))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
( double_divide(identity,inverse(inverse(identity))) != inverse(inverse(identity))
| identity != double_divide(double_divide(identity,inverse(inverse(identity))),multiply(inverse(inverse(identity)),identity))
| identity = double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(identity))),multiply(inverse(inverse(identity)),identity))) ),[1,0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_161,plain,
( identity != double_divide(double_divide(identity,inverse(inverse(identity))),multiply(inverse(inverse(identity)),identity))
| identity = double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),inverse(inverse(identity))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
identity = double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(identity,inverse(inverse(identity))),multiply(inverse(inverse(identity)),identity))) )],[refute_0_125,refute_0_161]) ).
cnf(refute_0_163,plain,
double_divide(inverse(inverse(identity)),identity) = inverse(inverse(inverse(identity))),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_164,plain,
multiply(multiply(identity,identity),identity) = identity,
inference(subst,[],[refute_0_110:[bind(X_17,$fot(identity))]]) ).
cnf(refute_0_165,plain,
( multiply(multiply(identity,identity),identity) != identity
| multiply(identity,identity) != inverse(inverse(identity))
| multiply(inverse(inverse(identity)),identity) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(identity,identity),identity),identity) ),[0,0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_166,plain,
( multiply(multiply(identity,identity),identity) != identity
| multiply(inverse(inverse(identity)),identity) = identity ),
inference(resolve,[$cnf( $equal(multiply(identity,identity),inverse(inverse(identity))) )],[refute_0_140,refute_0_165]) ).
cnf(refute_0_167,plain,
multiply(inverse(inverse(identity)),identity) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(identity,identity),identity),identity) )],[refute_0_164,refute_0_166]) ).
cnf(refute_0_168,plain,
double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) = double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)))]]) ).
cnf(refute_0_169,plain,
( multiply(inverse(inverse(identity)),identity) != identity
| double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) != double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity))
| double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) = double_divide(inverse(inverse(identity)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)),double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_170,plain,
( multiply(inverse(inverse(identity)),identity) != identity
| double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) = double_divide(inverse(inverse(identity)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)),double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) = double_divide(inverse(inverse(identity)),identity),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(identity)),identity),identity) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) != double_divide(inverse(inverse(identity)),identity)
| double_divide(inverse(inverse(identity)),identity) != inverse(inverse(inverse(identity)))
| double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) = inverse(inverse(inverse(identity))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)))),bind(Y,$fot(double_divide(inverse(inverse(identity)),identity))),bind(Z,$fot(inverse(inverse(inverse(identity)))))]]) ).
cnf(refute_0_173,plain,
( double_divide(inverse(inverse(identity)),identity) != inverse(inverse(inverse(identity)))
| double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) = inverse(inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)),double_divide(inverse(inverse(identity)),identity)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) = inverse(inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),identity),inverse(inverse(inverse(identity)))) )],[refute_0_163,refute_0_173]) ).
cnf(refute_0_175,plain,
( double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)) != inverse(inverse(inverse(identity)))
| identity != double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity))
| identity = inverse(inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity))) ),[1],$fot(inverse(inverse(inverse(identity))))]]) ).
cnf(refute_0_176,plain,
( identity != double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity))
| identity = inverse(inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity)),inverse(inverse(inverse(identity)))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
identity = inverse(inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(inverse(identity)),multiply(inverse(inverse(identity)),identity))) )],[refute_0_162,refute_0_176]) ).
cnf(refute_0_178,plain,
( identity != inverse(inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(inverse(inverse(identity)))))]]) ).
cnf(refute_0_179,plain,
inverse(inverse(inverse(identity))) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(inverse(inverse(identity)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
( identity != multiply(double_divide(identity,multiply(double_divide(identity,inverse(inverse(inverse(identity)))),identity)),inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) != identity
| identity = multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(double_divide(identity,multiply(double_divide(identity,inverse(inverse(inverse(identity)))),identity)),inverse(inverse(identity)))) ),[1,0,1,0,1],$fot(identity)]]) ).
cnf(refute_0_181,plain,
( identity != multiply(double_divide(identity,multiply(double_divide(identity,inverse(inverse(inverse(identity)))),identity)),inverse(inverse(identity)))
| identity = multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
identity = multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(identity,multiply(double_divide(identity,multiply(double_divide(identity,inverse(inverse(inverse(identity)))),identity)),inverse(inverse(identity)))) )],[refute_0_124,refute_0_181]) ).
cnf(refute_0_183,plain,
inverse(inverse(inverse(inverse(identity)))) = inverse(inverse(inverse(inverse(identity)))),
introduced(tautology,[refl,[$fot(inverse(inverse(inverse(inverse(identity)))))]]) ).
cnf(refute_0_184,plain,
( inverse(inverse(inverse(identity))) != identity
| inverse(inverse(inverse(inverse(identity)))) != inverse(inverse(inverse(inverse(identity))))
| inverse(inverse(inverse(inverse(identity)))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(inverse(inverse(identity)))),inverse(inverse(inverse(inverse(identity))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_185,plain,
( inverse(inverse(inverse(identity))) != identity
| inverse(inverse(inverse(inverse(identity)))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(identity)))),inverse(inverse(inverse(inverse(identity))))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
inverse(inverse(inverse(inverse(identity)))) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_179,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(identity,inverse(inverse(identity))) = inverse(inverse(inverse(inverse(identity)))),
inference(subst,[],[refute_0_139:[bind(X_3,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_188,plain,
( multiply(identity,inverse(inverse(identity))) != inverse(inverse(inverse(inverse(identity))))
| inverse(inverse(inverse(inverse(identity)))) != inverse(identity)
| multiply(identity,inverse(inverse(identity))) = inverse(identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(identity,inverse(inverse(identity))))),bind(Y,$fot(inverse(inverse(inverse(inverse(identity)))))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_189,plain,
( inverse(inverse(inverse(inverse(identity)))) != inverse(identity)
| multiply(identity,inverse(inverse(identity))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(identity))),inverse(inverse(inverse(inverse(identity))))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
multiply(identity,inverse(inverse(identity))) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(identity)))),inverse(identity)) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_41:[bind(A,$fot(inverse(X_3))),bind(B,$fot(X_3))]]) ).
cnf(refute_0_192,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_193,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_194,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_196,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( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_191,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(identity),identity) = inverse(identity),
inference(subst,[],[refute_0_197:[bind(X_3,$fot(identity))]]) ).
cnf(refute_0_199,plain,
multiply(double_divide(identity,identity),identity) = multiply(double_divide(identity,identity),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,identity),identity))]]) ).
cnf(refute_0_200,plain,
( multiply(double_divide(identity,identity),identity) != multiply(double_divide(identity,identity),identity)
| double_divide(identity,identity) != inverse(identity)
| multiply(double_divide(identity,identity),identity) = multiply(inverse(identity),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,identity),identity),multiply(double_divide(identity,identity),identity)) ),[1,0],$fot(inverse(identity))]]) ).
cnf(refute_0_201,plain,
( double_divide(identity,identity) != inverse(identity)
| multiply(double_divide(identity,identity),identity) = multiply(inverse(identity),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,identity),identity),multiply(double_divide(identity,identity),identity)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(double_divide(identity,identity),identity) = multiply(inverse(identity),identity),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_201]) ).
cnf(refute_0_203,plain,
( multiply(double_divide(identity,identity),identity) != multiply(inverse(identity),identity)
| multiply(inverse(identity),identity) != inverse(identity)
| multiply(double_divide(identity,identity),identity) = inverse(identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(double_divide(identity,identity),identity))),bind(Y,$fot(multiply(inverse(identity),identity))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_204,plain,
( multiply(inverse(identity),identity) != inverse(identity)
| multiply(double_divide(identity,identity),identity) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,identity),identity),multiply(inverse(identity),identity)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(double_divide(identity,identity),identity) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),identity),inverse(identity)) )],[refute_0_198,refute_0_204]) ).
cnf(refute_0_206,plain,
double_divide(identity,multiply(double_divide(identity,identity),identity)) = double_divide(identity,multiply(double_divide(identity,identity),identity)),
introduced(tautology,[refl,[$fot(double_divide(identity,multiply(double_divide(identity,identity),identity)))]]) ).
cnf(refute_0_207,plain,
( multiply(double_divide(identity,identity),identity) != inverse(identity)
| double_divide(identity,multiply(double_divide(identity,identity),identity)) != double_divide(identity,multiply(double_divide(identity,identity),identity))
| double_divide(identity,multiply(double_divide(identity,identity),identity)) = double_divide(identity,inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,multiply(double_divide(identity,identity),identity)),double_divide(identity,multiply(double_divide(identity,identity),identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_208,plain,
( multiply(double_divide(identity,identity),identity) != inverse(identity)
| double_divide(identity,multiply(double_divide(identity,identity),identity)) = double_divide(identity,inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(identity,identity),identity)),double_divide(identity,multiply(double_divide(identity,identity),identity))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
double_divide(identity,multiply(double_divide(identity,identity),identity)) = double_divide(identity,inverse(identity)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,identity),identity),inverse(identity)) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( double_divide(identity,multiply(double_divide(identity,identity),identity)) != double_divide(identity,inverse(identity))
| double_divide(identity,inverse(identity)) != identity
| double_divide(identity,multiply(double_divide(identity,identity),identity)) = identity ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,multiply(double_divide(identity,identity),identity)))),bind(Y,$fot(double_divide(identity,inverse(identity)))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_211,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(identity,multiply(double_divide(identity,identity),identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(identity,identity),identity)),double_divide(identity,inverse(identity))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
double_divide(identity,multiply(double_divide(identity,identity),identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_79,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) = multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))))]]) ).
cnf(refute_0_214,plain,
( multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) != multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity)))
| double_divide(identity,multiply(double_divide(identity,identity),identity)) != identity
| multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) = multiply(identity,inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))),multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_215,plain,
( double_divide(identity,multiply(double_divide(identity,identity),identity)) != identity
| multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) = multiply(identity,inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))),multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity)))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) = multiply(identity,inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(identity,identity),identity)),identity) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
( multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) != multiply(identity,inverse(inverse(identity)))
| multiply(identity,inverse(inverse(identity))) != inverse(identity)
| multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) = inverse(identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))))),bind(Y,$fot(multiply(identity,inverse(inverse(identity))))),bind(Z,$fot(inverse(identity)))]]) ).
cnf(refute_0_218,plain,
( multiply(identity,inverse(inverse(identity))) != inverse(identity)
| multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))),multiply(identity,inverse(inverse(identity)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(identity,inverse(inverse(identity))),inverse(identity)) )],[refute_0_190,refute_0_218]) ).
cnf(refute_0_220,plain,
( multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))) != inverse(identity)
| identity != multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity)))
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity)))) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_221,plain,
( identity != multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity)))
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity))),inverse(identity)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,multiply(double_divide(identity,multiply(double_divide(identity,identity),identity)),inverse(inverse(identity)))) )],[refute_0_182,refute_0_221]) ).
cnf(refute_0_223,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_224,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_226,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_227,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity))),bind(Z,$fot(multiply(double_divide(identity,inverse(X_11)),X_10)))]]) ).
cnf(refute_0_230,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(double_divide(identity,inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(double_divide(identity,inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),identity),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_52,refute_0_230]) ).
cnf(refute_0_232,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(X_10,X_11)
| double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(double_divide(identity,inverse(X_11)),X_10)
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(X_10,X_11)) ),[0],$fot(multiply(double_divide(identity,inverse(X_11)),X_10))]]) ).
cnf(refute_0_233,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(X_10,X_11)
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(X_10,X_11)) )],[refute_0_47,refute_0_233]) ).
cnf(refute_0_235,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)) = double_divide(identity,inverse(X_11)),
inference(subst,[],[refute_0_68:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(identity,inverse(X_11))))]]) ).
cnf(refute_0_236,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity)) = multiply(identity,X_11),
inference(subst,[],[refute_0_47:[bind(X_10,$fot(identity))]]) ).
cnf(refute_0_237,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity)) != multiply(identity,X_11)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_11))
| double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) = double_divide(identity,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_11))) ),[0,0,1],$fot(multiply(identity,X_11))]]) ).
cnf(refute_0_238,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_11))
| double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) = double_divide(identity,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity)),multiply(identity,X_11)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) = double_divide(identity,inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(identity,inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_11))) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(identity,X_11) = inverse(inverse(X_11)),
inference(subst,[],[refute_0_139:[bind(X_3,$fot(X_11))]]) ).
cnf(refute_0_241,plain,
double_divide(inverse(identity),multiply(identity,X_11)) = double_divide(inverse(identity),multiply(identity,X_11)),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),multiply(identity,X_11)))]]) ).
cnf(refute_0_242,plain,
( multiply(identity,X_11) != inverse(inverse(X_11))
| double_divide(inverse(identity),multiply(identity,X_11)) != double_divide(inverse(identity),multiply(identity,X_11))
| double_divide(inverse(identity),multiply(identity,X_11)) = double_divide(inverse(identity),inverse(inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),multiply(identity,X_11)),double_divide(inverse(identity),multiply(identity,X_11))) ),[1,1],$fot(inverse(inverse(X_11)))]]) ).
cnf(refute_0_243,plain,
( multiply(identity,X_11) != inverse(inverse(X_11))
| double_divide(inverse(identity),multiply(identity,X_11)) = double_divide(inverse(identity),inverse(inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),multiply(identity,X_11)),double_divide(inverse(identity),multiply(identity,X_11))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
double_divide(inverse(identity),multiply(identity,X_11)) = double_divide(inverse(identity),inverse(inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(identity,X_11),inverse(inverse(X_11))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) = double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)))]]) ).
cnf(refute_0_246,plain,
( double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) != double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity))
| double_divide(inverse(identity),multiply(identity,X_11)) != double_divide(inverse(identity),inverse(inverse(X_11)))
| double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)),double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity))) ),[1,0],$fot(double_divide(inverse(identity),inverse(inverse(X_11))))]]) ).
cnf(refute_0_247,plain,
( double_divide(inverse(identity),multiply(identity,X_11)) != double_divide(inverse(identity),inverse(inverse(X_11)))
| double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)),double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),multiply(identity,X_11)),double_divide(inverse(identity),inverse(inverse(X_11)))) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
( double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) != double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity))
| double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) != double_divide(identity,inverse(X_11))
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(identity,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)),double_divide(identity,inverse(X_11))) ),[0],$fot(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_250,plain,
( double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)) != double_divide(identity,inverse(X_11))
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(identity,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)),double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(identity,inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),multiply(identity,X_11)),inverse(identity)),double_divide(identity,inverse(X_11))) )],[refute_0_239,refute_0_250]) ).
cnf(refute_0_252,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_15),inverse(identity)),C),inverse(inverse(X_15)))),inverse(identity)) = C,
inference(subst,[],[refute_0_30:[bind(A,$fot(inverse(identity))),bind(B,$fot(inverse(X_15)))]]) ).
cnf(refute_0_253,plain,
double_divide(inverse(X_15),inverse(identity)) = multiply(X_15,identity),
inference(subst,[],[refute_0_90:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_254,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_15),inverse(identity)),C),inverse(inverse(X_15)))),inverse(identity)) != C
| double_divide(inverse(X_15),inverse(identity)) != multiply(X_15,identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_15),inverse(identity)),C),inverse(inverse(X_15)))),inverse(identity)),C) ),[0,0,1,0,0],$fot(multiply(X_15,identity))]]) ).
cnf(refute_0_255,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_15),inverse(identity)),C),inverse(inverse(X_15)))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),inverse(identity)),multiply(X_15,identity)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(inverse(X_15),inverse(identity)),C),inverse(inverse(X_15)))),inverse(identity)),C) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) = multiply(X_10,inverse(inverse(identity))),
inference(subst,[],[refute_0_47:[bind(X_11,$fot(inverse(inverse(identity))))]]) ).
cnf(refute_0_258,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) != multiply(X_10,inverse(inverse(identity)))
| inverse(inverse(inverse(identity))) != identity
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = multiply(X_10,inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)),multiply(X_10,inverse(inverse(identity)))) ),[0,0,1,1],$fot(identity)]]) ).
cnf(refute_0_259,plain,
( double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)) != multiply(X_10,inverse(inverse(identity)))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = multiply(X_10,inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(identity))),identity) )],[refute_0_179,refute_0_258]) ).
cnf(refute_0_260,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = multiply(X_10,inverse(inverse(identity))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,inverse(inverse(inverse(identity))))),inverse(identity)),multiply(X_10,inverse(inverse(identity)))) )],[refute_0_257,refute_0_259]) ).
cnf(refute_0_261,plain,
double_divide(inverse(X_10),identity) = inverse(inverse(X_10)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_10)))]]) ).
cnf(refute_0_262,plain,
double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_10),inverse(identity)))]]) ).
cnf(refute_0_263,plain,
( double_divide(inverse(X_10),inverse(identity)) != double_divide(inverse(X_10),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_10),inverse(identity)),double_divide(inverse(X_10),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_264,plain,
( inverse(identity) != identity
| double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),inverse(identity)),double_divide(inverse(X_10),inverse(identity))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
double_divide(inverse(X_10),inverse(identity)) = double_divide(inverse(X_10),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_264]) ).
cnf(refute_0_266,plain,
double_divide(X_10,identity) = inverse(X_10),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_267,plain,
( double_divide(identity,identity) != inverse(identity)
| inverse(identity) != identity
| double_divide(identity,identity) = identity ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,identity))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_268,plain,
( inverse(identity) != identity
| double_divide(identity,identity) = identity ),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_5,refute_0_267]) ).
cnf(refute_0_269,plain,
double_divide(identity,identity) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_268]) ).
cnf(refute_0_270,plain,
double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(identity,identity)))]]) ).
cnf(refute_0_271,plain,
( double_divide(X_10,double_divide(identity,identity)) != double_divide(X_10,double_divide(identity,identity))
| double_divide(identity,identity) != identity
| double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),double_divide(X_10,double_divide(identity,identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_272,plain,
( double_divide(identity,identity) != identity
| double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),double_divide(X_10,double_divide(identity,identity))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
double_divide(X_10,double_divide(identity,identity)) = double_divide(X_10,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),identity) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
( double_divide(X_10,double_divide(identity,identity)) != double_divide(X_10,identity)
| double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,double_divide(identity,identity)) = inverse(X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(X_10,double_divide(identity,identity)))),bind(Y,$fot(double_divide(X_10,identity))),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_275,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,double_divide(identity,identity)) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),double_divide(X_10,identity)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
double_divide(X_10,double_divide(identity,identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_266,refute_0_275]) ).
cnf(refute_0_277,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)))]]) ).
cnf(refute_0_278,plain,
( double_divide(X_10,double_divide(identity,identity)) != inverse(X_10)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity))) ),[1,0],$fot(inverse(X_10))]]) ).
cnf(refute_0_279,plain,
( double_divide(X_10,double_divide(identity,identity)) != inverse(X_10)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(identity,identity)),inverse(X_10)) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != double_divide(inverse(X_10),inverse(identity))
| double_divide(inverse(X_10),inverse(identity)) != double_divide(inverse(X_10),identity)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_10),inverse(identity)))),bind(Z,$fot(double_divide(inverse(X_10),identity)))]]) ).
cnf(refute_0_282,plain,
( double_divide(inverse(X_10),inverse(identity)) != double_divide(inverse(X_10),identity)
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(inverse(X_10),inverse(identity))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = double_divide(inverse(X_10),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),inverse(identity)),double_divide(inverse(X_10),identity)) )],[refute_0_265,refute_0_282]) ).
cnf(refute_0_284,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != double_divide(inverse(X_10),identity)
| double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(X_10)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_10),identity))),bind(Z,$fot(inverse(inverse(X_10))))]]) ).
cnf(refute_0_285,plain,
( double_divide(inverse(X_10),identity) != inverse(inverse(X_10))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),double_divide(inverse(X_10),identity)) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) = inverse(inverse(X_10)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_10),identity),inverse(inverse(X_10))) )],[refute_0_261,refute_0_285]) ).
cnf(refute_0_287,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != multiply(X_10,inverse(inverse(identity)))
| double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != inverse(inverse(X_10))
| inverse(inverse(X_10)) = multiply(X_10,inverse(inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),multiply(X_10,inverse(inverse(identity)))) ),[0],$fot(inverse(inverse(X_10)))]]) ).
cnf(refute_0_288,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != multiply(X_10,inverse(inverse(identity)))
| inverse(inverse(X_10)) = multiply(X_10,inverse(inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),inverse(inverse(X_10))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
inverse(inverse(identity)) = inverse(inverse(identity)),
introduced(tautology,[refl,[$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_290,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_291,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(inverse(identity))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_291]) ).
cnf(refute_0_293,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = identity ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(inverse(identity)))),bind(Y,$fot(inverse(identity))),bind(Z,$fot(identity))]]) ).
cnf(refute_0_294,plain,
( inverse(identity) != identity
| inverse(inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
inverse(inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(X_10,inverse(inverse(identity))) = multiply(X_10,inverse(inverse(identity))),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(inverse(identity))))]]) ).
cnf(refute_0_297,plain,
( multiply(X_10,inverse(inverse(identity))) != multiply(X_10,inverse(inverse(identity)))
| inverse(inverse(identity)) != identity
| multiply(X_10,inverse(inverse(identity))) = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(inverse(identity))),multiply(X_10,inverse(inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_298,plain,
( inverse(inverse(identity)) != identity
| multiply(X_10,inverse(inverse(identity))) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(inverse(identity))),multiply(X_10,inverse(inverse(identity)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(X_10,inverse(inverse(identity))) = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( multiply(X_10,inverse(inverse(identity))) != multiply(X_10,identity)
| inverse(inverse(X_10)) != multiply(X_10,inverse(inverse(identity)))
| inverse(inverse(X_10)) = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,inverse(inverse(identity)))) ),[1],$fot(multiply(X_10,identity))]]) ).
cnf(refute_0_301,plain,
( inverse(inverse(X_10)) != multiply(X_10,inverse(inverse(identity)))
| inverse(inverse(X_10)) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(inverse(identity))),multiply(X_10,identity)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
( double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)) != multiply(X_10,inverse(inverse(identity)))
| inverse(inverse(X_10)) = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,inverse(inverse(identity)))) )],[refute_0_288,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(inverse(X_10)) = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(identity,identity)),inverse(identity)),multiply(X_10,inverse(inverse(identity)))) )],[refute_0_260,refute_0_302]) ).
cnf(refute_0_304,plain,
( inverse(inverse(X_10)) != multiply(X_10,identity)
| multiply(X_10,identity) = inverse(inverse(X_10)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(inverse(X_10)))),bind(Y,$fot(multiply(X_10,identity)))]]) ).
cnf(refute_0_305,plain,
multiply(X_10,identity) = inverse(inverse(X_10)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,identity)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(inverse(inverse(C)),identity) = inverse(inverse(inverse(inverse(C)))),
inference(subst,[],[refute_0_305:[bind(X_10,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_307,plain,
inverse(double_divide(identity,inverse(inverse(C)))) = multiply(inverse(inverse(C)),identity),
inference(subst,[],[refute_0_43:[bind(A,$fot(inverse(inverse(C)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_308,plain,
( multiply(inverse(inverse(C)),identity) != inverse(inverse(inverse(inverse(C))))
| inverse(double_divide(identity,inverse(inverse(C)))) != multiply(inverse(inverse(C)),identity)
| inverse(double_divide(identity,inverse(inverse(C)))) = inverse(inverse(inverse(inverse(C)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(identity,inverse(inverse(C)))))),bind(Y,$fot(multiply(inverse(inverse(C)),identity))),bind(Z,$fot(inverse(inverse(inverse(inverse(C))))))]]) ).
cnf(refute_0_309,plain,
( multiply(inverse(inverse(C)),identity) != inverse(inverse(inverse(inverse(C))))
| inverse(double_divide(identity,inverse(inverse(C)))) = inverse(inverse(inverse(inverse(C)))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(C)))),multiply(inverse(inverse(C)),identity)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
inverse(double_divide(identity,inverse(inverse(C)))) = inverse(inverse(inverse(inverse(C)))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(C)),identity),inverse(inverse(inverse(inverse(C))))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
double_divide(double_divide(identity,inverse(inverse(C))),identity) = inverse(double_divide(identity,inverse(inverse(C)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,inverse(inverse(C)))))]]) ).
cnf(refute_0_312,plain,
( double_divide(double_divide(identity,inverse(inverse(C))),identity) != inverse(double_divide(identity,inverse(inverse(C))))
| inverse(double_divide(identity,inverse(inverse(C)))) != inverse(inverse(inverse(inverse(C))))
| double_divide(double_divide(identity,inverse(inverse(C))),identity) = inverse(inverse(inverse(inverse(C)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(identity,inverse(inverse(C))),identity))),bind(Y,$fot(inverse(double_divide(identity,inverse(inverse(C)))))),bind(Z,$fot(inverse(inverse(inverse(inverse(C))))))]]) ).
cnf(refute_0_313,plain,
( inverse(double_divide(identity,inverse(inverse(C)))) != inverse(inverse(inverse(inverse(C))))
| double_divide(double_divide(identity,inverse(inverse(C))),identity) = inverse(inverse(inverse(inverse(C)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(C))),identity),inverse(double_divide(identity,inverse(inverse(C))))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
double_divide(double_divide(identity,inverse(inverse(C))),identity) = inverse(inverse(inverse(inverse(C)))),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(C)))),inverse(inverse(inverse(inverse(C))))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)))]]) ).
cnf(refute_0_316,plain,
( double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_317,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(C,identity) = inverse(inverse(C)),
inference(subst,[],[refute_0_305:[bind(X_10,$fot(C))]]) ).
cnf(refute_0_320,plain,
inverse(double_divide(identity,C)) = multiply(C,identity),
inference(subst,[],[refute_0_43:[bind(A,$fot(C)),bind(B,$fot(identity))]]) ).
cnf(refute_0_321,plain,
( multiply(C,identity) != inverse(inverse(C))
| inverse(double_divide(identity,C)) != multiply(C,identity)
| inverse(double_divide(identity,C)) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(identity,C)))),bind(Y,$fot(multiply(C,identity))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_322,plain,
( multiply(C,identity) != inverse(inverse(C))
| inverse(double_divide(identity,C)) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,C)),multiply(C,identity)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
inverse(double_divide(identity,C)) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(multiply(C,identity),inverse(inverse(C))) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
double_divide(double_divide(identity,C),identity) = inverse(double_divide(identity,C)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,C)))]]) ).
cnf(refute_0_325,plain,
( double_divide(double_divide(identity,C),identity) != inverse(double_divide(identity,C))
| inverse(double_divide(identity,C)) != inverse(inverse(C))
| double_divide(double_divide(identity,C),identity) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(identity,C),identity))),bind(Y,$fot(inverse(double_divide(identity,C)))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_326,plain,
( inverse(double_divide(identity,C)) != inverse(inverse(C))
| double_divide(double_divide(identity,C),identity) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,C),identity),inverse(double_divide(identity,C))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
double_divide(double_divide(identity,C),identity) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,C)),inverse(inverse(C))) )],[refute_0_323,refute_0_326]) ).
cnf(refute_0_328,plain,
double_divide(double_divide(identity,C),inverse(identity)) = double_divide(double_divide(identity,C),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,C),inverse(identity)))]]) ).
cnf(refute_0_329,plain,
( double_divide(double_divide(identity,C),inverse(identity)) != double_divide(double_divide(identity,C),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,C),inverse(identity)) = double_divide(double_divide(identity,C),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,C),inverse(identity)),double_divide(double_divide(identity,C),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_330,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,C),inverse(identity)) = double_divide(double_divide(identity,C),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,C),inverse(identity)),double_divide(double_divide(identity,C),inverse(identity))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
double_divide(double_divide(identity,C),inverse(identity)) = double_divide(double_divide(identity,C),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_330]) ).
cnf(refute_0_332,plain,
double_divide(inverse(identity),C) = double_divide(inverse(identity),C),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),C))]]) ).
cnf(refute_0_333,plain,
( double_divide(inverse(identity),C) != double_divide(inverse(identity),C)
| inverse(identity) != identity
| double_divide(inverse(identity),C) = double_divide(identity,C) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),C),double_divide(inverse(identity),C)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_334,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),C) = double_divide(identity,C) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),C),double_divide(inverse(identity),C)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
double_divide(inverse(identity),C) = double_divide(identity,C),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_334]) ).
cnf(refute_0_336,plain,
double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(inverse(identity),C),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),C),inverse(identity)))]]) ).
cnf(refute_0_337,plain,
( double_divide(double_divide(inverse(identity),C),inverse(identity)) != double_divide(double_divide(inverse(identity),C),inverse(identity))
| double_divide(inverse(identity),C) != double_divide(identity,C)
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(identity,C),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),double_divide(double_divide(inverse(identity),C),inverse(identity))) ),[1,0],$fot(double_divide(identity,C))]]) ).
cnf(refute_0_338,plain,
( double_divide(inverse(identity),C) != double_divide(identity,C)
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(identity,C),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),double_divide(double_divide(inverse(identity),C),inverse(identity))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(identity,C),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),C),double_divide(identity,C)) )],[refute_0_335,refute_0_338]) ).
cnf(refute_0_340,plain,
( double_divide(double_divide(identity,C),inverse(identity)) != double_divide(double_divide(identity,C),identity)
| double_divide(double_divide(inverse(identity),C),inverse(identity)) != double_divide(double_divide(identity,C),inverse(identity))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(identity,C),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),C),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,C),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,C),identity)))]]) ).
cnf(refute_0_341,plain,
( double_divide(double_divide(identity,C),inverse(identity)) != double_divide(double_divide(identity,C),identity)
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(identity,C),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),double_divide(double_divide(identity,C),inverse(identity))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(identity,C),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,C),inverse(identity)),double_divide(double_divide(identity,C),identity)) )],[refute_0_331,refute_0_341]) ).
cnf(refute_0_343,plain,
( double_divide(double_divide(identity,C),identity) != inverse(inverse(C))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) != double_divide(double_divide(identity,C),identity)
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),C),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,C),identity))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_344,plain,
( double_divide(double_divide(identity,C),identity) != inverse(inverse(C))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),double_divide(double_divide(identity,C),identity)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
double_divide(double_divide(inverse(identity),C),inverse(identity)) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,C),identity),inverse(inverse(C))) )],[refute_0_327,refute_0_344]) ).
cnf(refute_0_346,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(B,identity),C),inverse(B)),
inference(subst,[],[refute_0_68:[bind(X_11,$fot(identity)),bind(X_12,$fot(double_divide(double_divide(double_divide(B,identity),C),inverse(B))))]]) ).
cnf(refute_0_347,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity)) = C,
inference(subst,[],[refute_0_30:[bind(A,$fot(identity))]]) ).
cnf(refute_0_348,plain,
( double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,identity),C),inverse(B))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(double_divide(B,identity),C),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,identity),C),inverse(B))) ),[0,0,1],$fot(C)]]) ).
cnf(refute_0_349,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(B,identity),C),inverse(B))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(double_divide(B,identity),C),inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity)),C) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(double_divide(B,identity),C),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(identity,double_divide(double_divide(double_divide(B,identity),C),inverse(B))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(B,identity),C),inverse(B))) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
double_divide(double_divide(B,identity),C) = double_divide(double_divide(B,identity),C),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,identity),C))]]) ).
cnf(refute_0_352,plain,
( double_divide(B,identity) != inverse(B)
| double_divide(double_divide(B,identity),C) != double_divide(double_divide(B,identity),C)
| double_divide(double_divide(B,identity),C) = double_divide(inverse(B),C) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,identity),C),double_divide(double_divide(B,identity),C)) ),[1,0],$fot(inverse(B))]]) ).
cnf(refute_0_353,plain,
( double_divide(B,identity) != inverse(B)
| double_divide(double_divide(B,identity),C) = double_divide(inverse(B),C) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,identity),C),double_divide(double_divide(B,identity),C)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
double_divide(double_divide(B,identity),C) = double_divide(inverse(B),C),
inference(resolve,[$cnf( $equal(double_divide(B,identity),inverse(B)) )],[refute_0_10,refute_0_353]) ).
cnf(refute_0_355,plain,
double_divide(double_divide(double_divide(B,identity),C),inverse(B)) = double_divide(double_divide(double_divide(B,identity),C),inverse(B)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(B,identity),C),inverse(B)))]]) ).
cnf(refute_0_356,plain,
( double_divide(double_divide(B,identity),C) != double_divide(inverse(B),C)
| double_divide(double_divide(double_divide(B,identity),C),inverse(B)) != double_divide(double_divide(double_divide(B,identity),C),inverse(B))
| double_divide(double_divide(double_divide(B,identity),C),inverse(B)) = double_divide(double_divide(inverse(B),C),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(B,identity),C),inverse(B)),double_divide(double_divide(double_divide(B,identity),C),inverse(B))) ),[1,0],$fot(double_divide(inverse(B),C))]]) ).
cnf(refute_0_357,plain,
( double_divide(double_divide(B,identity),C) != double_divide(inverse(B),C)
| double_divide(double_divide(double_divide(B,identity),C),inverse(B)) = double_divide(double_divide(inverse(B),C),inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,identity),C),inverse(B)),double_divide(double_divide(double_divide(B,identity),C),inverse(B))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
double_divide(double_divide(double_divide(B,identity),C),inverse(B)) = double_divide(double_divide(inverse(B),C),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,identity),C),double_divide(inverse(B),C)) )],[refute_0_354,refute_0_357]) ).
cnf(refute_0_359,plain,
( double_divide(double_divide(double_divide(B,identity),C),inverse(B)) != double_divide(double_divide(inverse(B),C),inverse(B))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) != double_divide(double_divide(double_divide(B,identity),C),inverse(B))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(inverse(B),C),inverse(B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),double_divide(double_divide(double_divide(B,identity),C),inverse(B))) ),[1],$fot(double_divide(double_divide(inverse(B),C),inverse(B)))]]) ).
cnf(refute_0_360,plain,
( double_divide(double_divide(inverse(identity),C),inverse(identity)) != double_divide(double_divide(double_divide(B,identity),C),inverse(B))
| double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(inverse(B),C),inverse(B)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(B,identity),C),inverse(B)),double_divide(double_divide(inverse(B),C),inverse(B))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
double_divide(double_divide(inverse(identity),C),inverse(identity)) = double_divide(double_divide(inverse(B),C),inverse(B)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),double_divide(double_divide(double_divide(B,identity),C),inverse(B))) )],[refute_0_350,refute_0_360]) ).
cnf(refute_0_362,plain,
( double_divide(double_divide(inverse(identity),C),inverse(identity)) != double_divide(double_divide(inverse(B),C),inverse(B))
| double_divide(double_divide(inverse(B),C),inverse(B)) = double_divide(double_divide(inverse(identity),C),inverse(identity)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(double_divide(inverse(identity),C),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(inverse(B),C),inverse(B))))]]) ).
cnf(refute_0_363,plain,
double_divide(double_divide(inverse(B),C),inverse(B)) = double_divide(double_divide(inverse(identity),C),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),double_divide(double_divide(inverse(B),C),inverse(B))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) = double_divide(double_divide(inverse(identity),C),inverse(identity)),
inference(subst,[],[refute_0_363:[bind(B,$fot(inverse(X_15)))]]) ).
cnf(refute_0_365,plain,
( double_divide(double_divide(inverse(identity),C),inverse(identity)) != inverse(inverse(C))
| double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) != double_divide(double_divide(inverse(identity),C),inverse(identity))
| double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))))),bind(Y,$fot(double_divide(double_divide(inverse(identity),C),inverse(identity)))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_366,plain,
( double_divide(double_divide(inverse(identity),C),inverse(identity)) != inverse(inverse(C))
| double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))),double_divide(double_divide(inverse(identity),C),inverse(identity))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),C),inverse(identity)),inverse(inverse(C))) )],[refute_0_345,refute_0_366]) ).
cnf(refute_0_368,plain,
multiply(X_15,identity) = inverse(inverse(X_15)),
inference(subst,[],[refute_0_305:[bind(X_10,$fot(X_15))]]) ).
cnf(refute_0_369,plain,
double_divide(multiply(X_15,identity),C) = double_divide(multiply(X_15,identity),C),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_15,identity),C))]]) ).
cnf(refute_0_370,plain,
( multiply(X_15,identity) != inverse(inverse(X_15))
| double_divide(multiply(X_15,identity),C) != double_divide(multiply(X_15,identity),C)
| double_divide(multiply(X_15,identity),C) = double_divide(inverse(inverse(X_15)),C) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_15,identity),C),double_divide(multiply(X_15,identity),C)) ),[1,0],$fot(inverse(inverse(X_15)))]]) ).
cnf(refute_0_371,plain,
( multiply(X_15,identity) != inverse(inverse(X_15))
| double_divide(multiply(X_15,identity),C) = double_divide(inverse(inverse(X_15)),C) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_15,identity),C),double_divide(multiply(X_15,identity),C)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
double_divide(multiply(X_15,identity),C) = double_divide(inverse(inverse(X_15)),C),
inference(resolve,[$cnf( $equal(multiply(X_15,identity),inverse(inverse(X_15))) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) = double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))]]) ).
cnf(refute_0_374,plain,
( double_divide(multiply(X_15,identity),C) != double_divide(inverse(inverse(X_15)),C)
| double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) != double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))
| double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) = double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) ),[1,0],$fot(double_divide(inverse(inverse(X_15)),C))]]) ).
cnf(refute_0_375,plain,
( double_divide(multiply(X_15,identity),C) != double_divide(inverse(inverse(X_15)),C)
| double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) = double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) = double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_15,identity),C),double_divide(inverse(inverse(X_15)),C)) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
( double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) != double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15)))
| double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) != inverse(inverse(C))
| double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))),bind(Y,$fot(double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_378,plain,
( double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))) != inverse(inverse(C))
| double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))),double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15)))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(X_15)),C),inverse(inverse(X_15))),inverse(inverse(C))) )],[refute_0_367,refute_0_378]) ).
cnf(refute_0_380,plain,
double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))))]]) ).
cnf(refute_0_381,plain,
( double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) != inverse(inverse(C))
| double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) != double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))
| double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,inverse(inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))) ),[1,1],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_382,plain,
( double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))) != inverse(inverse(C))
| double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,inverse(inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,inverse(inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))),inverse(inverse(C))) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))))]]) ).
cnf(refute_0_385,plain,
( double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) != double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_386,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_386]) ).
cnf(refute_0_388,plain,
( double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) != double_divide(identity,inverse(inverse(C)))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) != double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,inverse(inverse(C))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))))),bind(Y,$fot(double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))))),bind(Z,$fot(double_divide(identity,inverse(inverse(C)))))]]) ).
cnf(refute_0_389,plain,
( double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) != double_divide(identity,inverse(inverse(C)))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,inverse(inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15))))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) = double_divide(identity,inverse(inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),double_divide(identity,inverse(inverse(C)))) )],[refute_0_383,refute_0_389]) ).
cnf(refute_0_391,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)))]]) ).
cnf(refute_0_392,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity))
| double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) != double_divide(identity,inverse(inverse(C)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(inverse(C))))]]) ).
cnf(refute_0_393,plain,
( double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))) != double_divide(identity,inverse(inverse(C)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),double_divide(identity,inverse(inverse(C)))) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
( double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(C))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,inverse(inverse(C))),identity)))]]) ).
cnf(refute_0_396,plain,
( double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(C))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(C))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(C))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(C))),identity)) )],[refute_0_318,refute_0_396]) ).
cnf(refute_0_398,plain,
( double_divide(double_divide(identity,inverse(inverse(C))),identity) != inverse(inverse(inverse(inverse(C))))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(C))),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = inverse(inverse(inverse(inverse(C)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(inverse(C))),identity))),bind(Z,$fot(inverse(inverse(inverse(inverse(C))))))]]) ).
cnf(refute_0_399,plain,
( double_divide(double_divide(identity,inverse(inverse(C))),identity) != inverse(inverse(inverse(inverse(C))))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = inverse(inverse(inverse(inverse(C)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(C))),identity)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) = inverse(inverse(inverse(inverse(C)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(C))),identity),inverse(inverse(inverse(inverse(C))))) )],[refute_0_314,refute_0_399]) ).
cnf(refute_0_401,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) != inverse(inverse(inverse(inverse(C))))
| inverse(inverse(inverse(inverse(C)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),C) ),[0],$fot(inverse(inverse(inverse(inverse(C)))))]]) ).
cnf(refute_0_402,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)) != C
| inverse(inverse(inverse(inverse(C)))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),inverse(inverse(inverse(inverse(C))))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
inverse(inverse(inverse(inverse(C)))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(multiply(X_15,identity),C),inverse(inverse(X_15)))),inverse(identity)),C) )],[refute_0_256,refute_0_402]) ).
cnf(refute_0_404,plain,
inverse(inverse(inverse(inverse(X_11)))) = X_11,
inference(subst,[],[refute_0_403:[bind(C,$fot(X_11))]]) ).
cnf(refute_0_405,plain,
multiply(inverse(inverse(X_11)),identity) = inverse(inverse(inverse(inverse(X_11)))),
inference(subst,[],[refute_0_305:[bind(X_10,$fot(inverse(inverse(X_11))))]]) ).
cnf(refute_0_406,plain,
( multiply(inverse(inverse(X_11)),identity) != inverse(inverse(inverse(inverse(X_11))))
| inverse(inverse(inverse(inverse(X_11)))) != X_11
| multiply(inverse(inverse(X_11)),identity) = X_11 ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(inverse(X_11)),identity))),bind(Y,$fot(inverse(inverse(inverse(inverse(X_11)))))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_407,plain,
( inverse(inverse(inverse(inverse(X_11)))) != X_11
| multiply(inverse(inverse(X_11)),identity) = X_11 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),identity),inverse(inverse(inverse(inverse(X_11))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(inverse(inverse(X_11)),identity) = X_11,
inference(resolve,[$cnf( $equal(inverse(inverse(inverse(inverse(X_11)))),X_11) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
inverse(double_divide(identity,inverse(inverse(X_11)))) = multiply(inverse(inverse(X_11)),identity),
inference(subst,[],[refute_0_43:[bind(A,$fot(inverse(inverse(X_11)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_410,plain,
( multiply(inverse(inverse(X_11)),identity) != X_11
| inverse(double_divide(identity,inverse(inverse(X_11)))) != multiply(inverse(inverse(X_11)),identity)
| inverse(double_divide(identity,inverse(inverse(X_11)))) = X_11 ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(identity,inverse(inverse(X_11)))))),bind(Y,$fot(multiply(inverse(inverse(X_11)),identity))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_411,plain,
( multiply(inverse(inverse(X_11)),identity) != X_11
| inverse(double_divide(identity,inverse(inverse(X_11)))) = X_11 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_11)))),multiply(inverse(inverse(X_11)),identity)) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
inverse(double_divide(identity,inverse(inverse(X_11)))) = X_11,
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),identity),X_11) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = inverse(double_divide(identity,inverse(inverse(X_11)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,inverse(inverse(X_11)))))]]) ).
cnf(refute_0_414,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),identity) != inverse(double_divide(identity,inverse(inverse(X_11))))
| inverse(double_divide(identity,inverse(inverse(X_11)))) != X_11
| double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = X_11 ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),identity))),bind(Y,$fot(inverse(double_divide(identity,inverse(inverse(X_11)))))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_415,plain,
( inverse(double_divide(identity,inverse(inverse(X_11)))) != X_11
| double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),identity),inverse(double_divide(identity,inverse(inverse(X_11))))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),identity) = X_11,
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,inverse(inverse(X_11)))),X_11) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_418,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_419,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_419]) ).
cnf(refute_0_421,plain,
double_divide(inverse(identity),inverse(inverse(X_11))) = double_divide(inverse(identity),inverse(inverse(X_11))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),inverse(inverse(X_11))))]]) ).
cnf(refute_0_422,plain,
( double_divide(inverse(identity),inverse(inverse(X_11))) != double_divide(inverse(identity),inverse(inverse(X_11)))
| inverse(identity) != identity
| double_divide(inverse(identity),inverse(inverse(X_11))) = double_divide(identity,inverse(inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(inverse(X_11))),double_divide(inverse(identity),inverse(inverse(X_11)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_423,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),inverse(inverse(X_11))) = double_divide(identity,inverse(inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(inverse(X_11))),double_divide(inverse(identity),inverse(inverse(X_11)))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
double_divide(inverse(identity),inverse(inverse(X_11))) = double_divide(identity,inverse(inverse(X_11))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_423]) ).
cnf(refute_0_425,plain,
double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_426,plain,
( double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity))
| double_divide(inverse(identity),inverse(inverse(X_11))) != double_divide(identity,inverse(inverse(X_11)))
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity))) ),[1,0],$fot(double_divide(identity,inverse(inverse(X_11))))]]) ).
cnf(refute_0_427,plain,
( double_divide(inverse(identity),inverse(inverse(X_11))) != double_divide(identity,inverse(inverse(X_11)))
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(inverse(X_11))),double_divide(identity,inverse(inverse(X_11)))) )],[refute_0_424,refute_0_427]) ).
cnf(refute_0_429,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),identity)
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),identity)))]]) ).
cnf(refute_0_430,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),identity)
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = double_divide(double_divide(identity,inverse(inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),identity)) )],[refute_0_420,refute_0_430]) ).
cnf(refute_0_432,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),identity) != X_11
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) != double_divide(double_divide(identity,inverse(inverse(X_11))),identity)
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = X_11 ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,inverse(inverse(X_11))),identity))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_433,plain,
( double_divide(double_divide(identity,inverse(inverse(X_11))),identity) != X_11
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),double_divide(double_divide(identity,inverse(inverse(X_11))),identity)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,inverse(inverse(X_11))),identity),X_11) )],[refute_0_416,refute_0_433]) ).
cnf(refute_0_435,plain,
( double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) != X_11
| double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) != double_divide(identity,inverse(X_11))
| X_11 = double_divide(identity,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),double_divide(identity,inverse(X_11))) ),[0],$fot(X_11)]]) ).
cnf(refute_0_436,plain,
( double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)) != double_divide(identity,inverse(X_11))
| X_11 = double_divide(identity,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),X_11) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
X_11 = double_divide(identity,inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),inverse(inverse(X_11))),inverse(identity)),double_divide(identity,inverse(X_11))) )],[refute_0_251,refute_0_436]) ).
cnf(refute_0_438,plain,
( X_11 != double_divide(identity,inverse(X_11))
| double_divide(identity,inverse(X_11)) = X_11 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_11)),bind(Y,$fot(double_divide(identity,inverse(X_11))))]]) ).
cnf(refute_0_439,plain,
double_divide(identity,inverse(X_11)) = X_11,
inference(resolve,[$cnf( $equal(X_11,double_divide(identity,inverse(X_11))) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(double_divide(identity,inverse(X_11)),X_10),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,inverse(X_11)),X_10))]]) ).
cnf(refute_0_441,plain,
( multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(double_divide(identity,inverse(X_11)),X_10)
| double_divide(identity,inverse(X_11)) != X_11
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(double_divide(identity,inverse(X_11)),X_10)) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_442,plain,
( double_divide(identity,inverse(X_11)) != X_11
| multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_11,X_10) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(double_divide(identity,inverse(X_11)),X_10)) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
multiply(double_divide(identity,inverse(X_11)),X_10) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_11)),X_11) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
( multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(X_10,X_11)
| multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(X_11,X_10)
| multiply(X_11,X_10) = multiply(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(X_10,X_11)) ),[0],$fot(multiply(X_11,X_10))]]) ).
cnf(refute_0_445,plain,
( multiply(double_divide(identity,inverse(X_11)),X_10) != multiply(X_10,X_11)
| multiply(X_11,X_10) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(X_11,X_10)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(X_11,X_10) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,inverse(X_11)),X_10),multiply(X_10,X_11)) )],[refute_0_234,refute_0_445]) ).
cnf(refute_0_447,plain,
( multiply(X_11,X_10) != multiply(X_10,X_11)
| multiply(X_10,X_11) = multiply(X_11,X_10) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_11,X_10))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_448,plain,
multiply(X_10,X_11) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(multiply(X_11,X_10),multiply(X_10,X_11)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(multiply(a3,b3),c3) = multiply(c3,multiply(a3,b3)),
inference(subst,[],[refute_0_448:[bind(X_10,$fot(multiply(a3,b3))),bind(X_11,$fot(c3))]]) ).
cnf(refute_0_450,plain,
( multiply(multiply(a3,b3),c3) != multiply(c3,multiply(a3,b3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) ),[0],$fot(multiply(c3,multiply(a3,b3)))]]) ).
cnf(refute_0_451,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(c3,multiply(a3,b3))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_451,prove_these_axioms_3]) ).
cnf(refute_0_453,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),inverse(double_divide(B,A)))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_30:[bind(A,$fot(X_10)),bind(B,$fot(double_divide(B,A))),bind(C,$fot(X_12))]]) ).
cnf(refute_0_454,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),inverse(double_divide(B,A)))),inverse(identity)) != X_12
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),inverse(double_divide(B,A)))),inverse(identity)),X_12) ),[0,0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_455,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),inverse(double_divide(B,A)))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = X_12 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_43,refute_0_454]) ).
cnf(refute_0_456,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),inverse(double_divide(B,A)))),inverse(identity)),X_12) )],[refute_0_453,refute_0_455]) ).
cnf(refute_0_457,plain,
inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))) = multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_458,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) = inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))))]]) ).
cnf(refute_0_459,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) != inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))))
| inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))) != multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))))),bind(Z,$fot(multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_460,plain,
( inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))) != multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity),inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) = multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))),multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_463,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_464,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_464]) ).
cnf(refute_0_466,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) != multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)))]]) ).
cnf(refute_0_467,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity) != multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)),double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),identity),multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)) )],[refute_0_461,refute_0_467]) ).
cnf(refute_0_469,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) != X_12
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) != multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)
| multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)),X_12) ),[0],$fot(multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10))]]) ).
cnf(refute_0_470,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)) != X_12
| multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)),multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10)) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),inverse(identity)),X_12) )],[refute_0_456,refute_0_470]) ).
cnf(refute_0_472,plain,
multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) = multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),
inference(subst,[],[refute_0_448:[bind(X_10,$fot(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))),bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_473,plain,
( multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) != X_12
| multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) != multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10),X_12) ),[0],$fot(multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))))]]) ).
cnf(refute_0_474,plain,
( multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10) != X_12
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10),multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),X_10),X_12) )],[refute_0_471,refute_0_474]) ).
cnf(refute_0_476,plain,
double_divide(B,A) = double_divide(identity,inverse(double_divide(B,A))),
inference(subst,[],[refute_0_437:[bind(X_11,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_477,plain,
( double_divide(B,A) != double_divide(identity,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(B,A) = double_divide(identity,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(B,A),double_divide(identity,inverse(double_divide(B,A)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_478,plain,
( double_divide(B,A) != double_divide(identity,inverse(double_divide(B,A)))
| double_divide(B,A) = double_divide(identity,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_43,refute_0_477]) ).
cnf(refute_0_479,plain,
double_divide(B,A) = double_divide(identity,multiply(A,B)),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(identity,inverse(double_divide(B,A)))) )],[refute_0_476,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = inverse(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity))),
inference(subst,[],[refute_0_41:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(X_13,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_481,plain,
double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)) = multiply(X_13,X_14),
inference(subst,[],[refute_0_47:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_482,plain,
( multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != inverse(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)))
| double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)) != multiply(X_13,X_14)
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = inverse(multiply(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),inverse(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)))) ),[1,0],$fot(multiply(X_13,X_14))]]) ).
cnf(refute_0_483,plain,
( multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != inverse(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)))
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = inverse(multiply(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)),multiply(X_13,X_14)) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = inverse(multiply(X_13,X_14)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),inverse(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)))) )],[refute_0_480,refute_0_483]) ).
cnf(refute_0_485,plain,
double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(identity))),C),inverse(identity))),inverse(identity)) = C,
inference(subst,[],[refute_0_30:[bind(A,$fot(inverse(inverse(identity)))),bind(B,$fot(identity))]]) ).
cnf(refute_0_486,plain,
( double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(identity))),C),inverse(identity))),inverse(identity)) != C
| double_divide(identity,inverse(inverse(identity))) != inverse(inverse(identity))
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(identity))),C),inverse(identity))),inverse(identity)),C) ),[0,0,1,0,0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_487,plain,
( double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(identity))),C),inverse(identity))),inverse(identity)) != C
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(identity))),inverse(inverse(identity))) )],[refute_0_159,refute_0_486]) ).
cnf(refute_0_488,plain,
double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(double_divide(identity,inverse(inverse(identity))),C),inverse(identity))),inverse(identity)),C) )],[refute_0_485,refute_0_487]) ).
cnf(refute_0_489,plain,
double_divide(inverse(C),identity) = inverse(inverse(C)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(C)))]]) ).
cnf(refute_0_490,plain,
double_divide(inverse(C),inverse(identity)) = double_divide(inverse(C),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(C),inverse(identity)))]]) ).
cnf(refute_0_491,plain,
( double_divide(inverse(C),inverse(identity)) != double_divide(inverse(C),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(C),inverse(identity)) = double_divide(inverse(C),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(C),inverse(identity)),double_divide(inverse(C),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_492,plain,
( inverse(identity) != identity
| double_divide(inverse(C),inverse(identity)) = double_divide(inverse(C),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),inverse(identity)),double_divide(inverse(C),inverse(identity))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
double_divide(inverse(C),inverse(identity)) = double_divide(inverse(C),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_492]) ).
cnf(refute_0_494,plain,
double_divide(identity,inverse(inverse(C))) = inverse(C),
inference(subst,[],[refute_0_439:[bind(X_11,$fot(inverse(C)))]]) ).
cnf(refute_0_495,plain,
double_divide(inverse(inverse(identity)),C) = double_divide(inverse(inverse(identity)),C),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(identity)),C))]]) ).
cnf(refute_0_496,plain,
( double_divide(inverse(inverse(identity)),C) != double_divide(inverse(inverse(identity)),C)
| inverse(inverse(identity)) != identity
| double_divide(inverse(inverse(identity)),C) = double_divide(identity,C) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),C),double_divide(inverse(inverse(identity)),C)) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_497,plain,
( inverse(inverse(identity)) != identity
| double_divide(inverse(inverse(identity)),C) = double_divide(identity,C) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),C),double_divide(inverse(inverse(identity)),C)) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
double_divide(inverse(inverse(identity)),C) = double_divide(identity,C),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_295,refute_0_497]) ).
cnf(refute_0_499,plain,
double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))]]) ).
cnf(refute_0_500,plain,
( double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) != double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))
| double_divide(inverse(inverse(identity)),C) != double_divide(identity,C)
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = double_divide(double_divide(identity,C),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) ),[1,0],$fot(double_divide(identity,C))]]) ).
cnf(refute_0_501,plain,
( double_divide(inverse(inverse(identity)),C) != double_divide(identity,C)
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = double_divide(double_divide(identity,C),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = double_divide(double_divide(identity,C),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),C),double_divide(identity,C)) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
( double_divide(double_divide(identity,C),inverse(identity)) != double_divide(double_divide(identity,C),identity)
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) != double_divide(double_divide(identity,C),inverse(identity))
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = double_divide(double_divide(identity,C),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,C),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,C),identity)))]]) ).
cnf(refute_0_504,plain,
( double_divide(double_divide(identity,C),inverse(identity)) != double_divide(double_divide(identity,C),identity)
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = double_divide(double_divide(identity,C),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)),double_divide(double_divide(identity,C),inverse(identity))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = double_divide(double_divide(identity,C),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,C),inverse(identity)),double_divide(double_divide(identity,C),identity)) )],[refute_0_331,refute_0_504]) ).
cnf(refute_0_506,plain,
( double_divide(double_divide(identity,C),identity) != inverse(inverse(C))
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) != double_divide(double_divide(identity,C),identity)
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,C),identity))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_507,plain,
( double_divide(double_divide(identity,C),identity) != inverse(inverse(C))
| double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)),double_divide(double_divide(identity,C),identity)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,C),identity),inverse(inverse(C))) )],[refute_0_327,refute_0_507]) ).
cnf(refute_0_509,plain,
double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))))]]) ).
cnf(refute_0_510,plain,
( double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) != inverse(inverse(C))
| double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))
| double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,inverse(inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))) ),[1,1],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_511,plain,
( double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)) != inverse(inverse(C))
| double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,inverse(inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,inverse(inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)),inverse(inverse(C))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))))]]) ).
cnf(refute_0_514,plain,
( double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))
| inverse(inverse(identity)) != identity
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_515,plain,
( inverse(inverse(identity)) != identity
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),identity) )],[refute_0_295,refute_0_515]) ).
cnf(refute_0_517,plain,
( double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != double_divide(identity,inverse(inverse(C)))
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,inverse(inverse(C))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))))),bind(Y,$fot(double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))))),bind(Z,$fot(double_divide(identity,inverse(inverse(C)))))]]) ).
cnf(refute_0_518,plain,
( double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != double_divide(identity,inverse(inverse(C)))
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,inverse(inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity)))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = double_divide(identity,inverse(inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),double_divide(identity,inverse(inverse(C)))) )],[refute_0_512,refute_0_518]) ).
cnf(refute_0_520,plain,
( double_divide(identity,inverse(inverse(C))) != inverse(C)
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != double_divide(identity,inverse(inverse(C)))
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = inverse(C) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))))),bind(Y,$fot(double_divide(identity,inverse(inverse(C))))),bind(Z,$fot(inverse(C)))]]) ).
cnf(refute_0_521,plain,
( double_divide(identity,inverse(inverse(C))) != inverse(C)
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = inverse(C) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),double_divide(identity,inverse(inverse(C)))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) = inverse(C),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(inverse(C))),inverse(C)) )],[refute_0_494,refute_0_521]) ).
cnf(refute_0_523,plain,
double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_524,plain,
( double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) != double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity))
| double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != inverse(C)
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = double_divide(inverse(C),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity))) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_525,plain,
( double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))) != inverse(C)
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = double_divide(inverse(C),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = double_divide(inverse(C),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(C)) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
( double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) != double_divide(inverse(C),inverse(identity))
| double_divide(inverse(C),inverse(identity)) != double_divide(inverse(C),identity)
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = double_divide(inverse(C),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(inverse(C),inverse(identity)))),bind(Z,$fot(double_divide(inverse(C),identity)))]]) ).
cnf(refute_0_528,plain,
( double_divide(inverse(C),inverse(identity)) != double_divide(inverse(C),identity)
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = double_divide(inverse(C),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),double_divide(inverse(C),inverse(identity))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = double_divide(inverse(C),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),inverse(identity)),double_divide(inverse(C),identity)) )],[refute_0_493,refute_0_528]) ).
cnf(refute_0_530,plain,
( double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) != double_divide(inverse(C),identity)
| double_divide(inverse(C),identity) != inverse(inverse(C))
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = inverse(inverse(C)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)))),bind(Y,$fot(double_divide(inverse(C),identity))),bind(Z,$fot(inverse(inverse(C))))]]) ).
cnf(refute_0_531,plain,
( double_divide(inverse(C),identity) != inverse(inverse(C))
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),double_divide(inverse(C),identity)) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(inverse(C),identity),inverse(inverse(C))) )],[refute_0_489,refute_0_531]) ).
cnf(refute_0_533,plain,
( double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) != C
| double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) != inverse(inverse(C))
| inverse(inverse(C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),C) ),[0],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_534,plain,
( double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)) != C
| inverse(inverse(C)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),inverse(inverse(C))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
inverse(inverse(C)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(inverse(identity)),double_divide(double_divide(inverse(inverse(identity)),C),inverse(identity))),inverse(identity)),C) )],[refute_0_488,refute_0_534]) ).
cnf(refute_0_536,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_535:[bind(C,$fot(X_3))]]) ).
cnf(refute_0_537,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_538,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_139,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(identity,double_divide(X_13,X_14)) = double_divide(X_13,X_14),
inference(subst,[],[refute_0_539:[bind(X_3,$fot(double_divide(X_13,X_14)))]]) ).
cnf(refute_0_541,plain,
double_divide(identity,inverse(X_14)) = X_14,
inference(subst,[],[refute_0_439:[bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_542,plain,
double_divide(X_13,double_divide(identity,inverse(X_14))) = double_divide(X_13,double_divide(identity,inverse(X_14))),
introduced(tautology,[refl,[$fot(double_divide(X_13,double_divide(identity,inverse(X_14))))]]) ).
cnf(refute_0_543,plain,
( double_divide(X_13,double_divide(identity,inverse(X_14))) != double_divide(X_13,double_divide(identity,inverse(X_14)))
| double_divide(identity,inverse(X_14)) != X_14
| double_divide(X_13,double_divide(identity,inverse(X_14))) = double_divide(X_13,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(X_14))),double_divide(X_13,double_divide(identity,inverse(X_14)))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_544,plain,
( double_divide(identity,inverse(X_14)) != X_14
| double_divide(X_13,double_divide(identity,inverse(X_14))) = double_divide(X_13,X_14) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(X_14))),double_divide(X_13,double_divide(identity,inverse(X_14)))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
double_divide(X_13,double_divide(identity,inverse(X_14))) = double_divide(X_13,X_14),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),X_14) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))),
introduced(tautology,[refl,[$fot(multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_547,plain,
( multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) != multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14))))
| double_divide(X_13,double_divide(identity,inverse(X_14))) != double_divide(X_13,X_14)
| multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))),multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14))))) ),[1,1],$fot(double_divide(X_13,X_14))]]) ).
cnf(refute_0_548,plain,
( double_divide(X_13,double_divide(identity,inverse(X_14))) != double_divide(X_13,X_14)
| multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))),multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14))))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,X_14)),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(X_14))),double_divide(X_13,X_14)) )],[refute_0_545,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),
introduced(tautology,[refl,[$fot(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_551,plain,
( multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))
| inverse(identity) != identity
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_552,plain,
( inverse(identity) != identity
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_552]) ).
cnf(refute_0_554,plain,
( multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) != multiply(identity,double_divide(X_13,X_14))
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14))))
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,X_14)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))),bind(Y,$fot(multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))))),bind(Z,$fot(multiply(identity,double_divide(X_13,X_14))))]]) ).
cnf(refute_0_555,plain,
( multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))) != multiply(identity,double_divide(X_13,X_14))
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14))))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = multiply(identity,double_divide(X_13,X_14)),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_13,double_divide(identity,inverse(X_14)))),multiply(identity,double_divide(X_13,X_14))) )],[refute_0_549,refute_0_555]) ).
cnf(refute_0_557,plain,
( multiply(identity,double_divide(X_13,X_14)) != double_divide(X_13,X_14)
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != multiply(identity,double_divide(X_13,X_14))
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = double_divide(X_13,X_14) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))),bind(Y,$fot(multiply(identity,double_divide(X_13,X_14)))),bind(Z,$fot(double_divide(X_13,X_14)))]]) ).
cnf(refute_0_558,plain,
( multiply(identity,double_divide(X_13,X_14)) != double_divide(X_13,X_14)
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = double_divide(X_13,X_14) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),multiply(identity,double_divide(X_13,X_14))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) = double_divide(X_13,X_14),
inference(resolve,[$cnf( $equal(multiply(identity,double_divide(X_13,X_14)),double_divide(X_13,X_14)) )],[refute_0_540,refute_0_558]) ).
cnf(refute_0_560,plain,
( multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != double_divide(X_13,X_14)
| multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != inverse(multiply(X_13,X_14))
| double_divide(X_13,X_14) = inverse(multiply(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),inverse(multiply(X_13,X_14))) ),[0],$fot(double_divide(X_13,X_14))]]) ).
cnf(refute_0_561,plain,
( multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != inverse(multiply(X_13,X_14))
| double_divide(X_13,X_14) = inverse(multiply(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),double_divide(X_13,X_14)) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
double_divide(X_13,X_14) = inverse(multiply(X_13,X_14)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),inverse(multiply(X_13,X_14))) )],[refute_0_484,refute_0_561]) ).
cnf(refute_0_563,plain,
( double_divide(X_13,X_14) != inverse(multiply(X_13,X_14))
| inverse(multiply(X_13,X_14)) = double_divide(X_13,X_14) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_13,X_14))),bind(Y,$fot(inverse(multiply(X_13,X_14))))]]) ).
cnf(refute_0_564,plain,
inverse(multiply(X_13,X_14)) = double_divide(X_13,X_14),
inference(resolve,[$cnf( $equal(double_divide(X_13,X_14),inverse(multiply(X_13,X_14))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
inverse(multiply(A,B)) = double_divide(A,B),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(A)),bind(X_14,$fot(B))]]) ).
cnf(refute_0_566,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)) = double_divide(identity,inverse(X_14)),
inference(subst,[],[refute_0_30:[bind(B,$fot(identity)),bind(C,$fot(double_divide(identity,inverse(X_14))))]]) ).
cnf(refute_0_567,plain,
double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity)) = multiply(double_divide(identity,A),X_14),
inference(subst,[],[refute_0_47:[bind(X_10,$fot(double_divide(identity,A))),bind(X_11,$fot(X_14))]]) ).
cnf(refute_0_568,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_14))
| double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity)) != multiply(double_divide(identity,A),X_14)
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = double_divide(identity,inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_14))) ),[0,0,1],$fot(multiply(double_divide(identity,A),X_14))]]) ).
cnf(refute_0_569,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)) != double_divide(identity,inverse(X_14))
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = double_divide(identity,inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity)),multiply(double_divide(identity,A),X_14)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = double_divide(identity,inverse(X_14)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(identity,inverse(X_14))),inverse(identity))),inverse(identity)),double_divide(identity,inverse(X_14))) )],[refute_0_566,refute_0_569]) ).
cnf(refute_0_571,plain,
inverse(double_divide(A,multiply(double_divide(identity,A),X_14))) = multiply(multiply(double_divide(identity,A),X_14),A),
inference(subst,[],[refute_0_43:[bind(A,$fot(multiply(double_divide(identity,A),X_14))),bind(B,$fot(A))]]) ).
cnf(refute_0_572,plain,
double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) = inverse(double_divide(A,multiply(double_divide(identity,A),X_14))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(A,multiply(double_divide(identity,A),X_14))))]]) ).
cnf(refute_0_573,plain,
( double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) != inverse(double_divide(A,multiply(double_divide(identity,A),X_14)))
| inverse(double_divide(A,multiply(double_divide(identity,A),X_14))) != multiply(multiply(double_divide(identity,A),X_14),A)
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) = multiply(multiply(double_divide(identity,A),X_14),A) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity))),bind(Y,$fot(inverse(double_divide(A,multiply(double_divide(identity,A),X_14))))),bind(Z,$fot(multiply(multiply(double_divide(identity,A),X_14),A)))]]) ).
cnf(refute_0_574,plain,
( inverse(double_divide(A,multiply(double_divide(identity,A),X_14))) != multiply(multiply(double_divide(identity,A),X_14),A)
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) = multiply(multiply(double_divide(identity,A),X_14),A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity),inverse(double_divide(A,multiply(double_divide(identity,A),X_14)))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) = multiply(multiply(double_divide(identity,A),X_14),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,multiply(double_divide(identity,A),X_14))),multiply(multiply(double_divide(identity,A),X_14),A)) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)))]]) ).
cnf(refute_0_577,plain,
( double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) != double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)),double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_578,plain,
( inverse(identity) != identity
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)),double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity))) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_578]) ).
cnf(refute_0_580,plain,
( double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) != multiply(multiply(double_divide(identity,A),X_14),A)
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) != double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity)
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = multiply(multiply(double_divide(identity,A),X_14),A) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity))),bind(Z,$fot(multiply(multiply(double_divide(identity,A),X_14),A)))]]) ).
cnf(refute_0_581,plain,
( double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity) != multiply(multiply(double_divide(identity,A),X_14),A)
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = multiply(multiply(double_divide(identity,A),X_14),A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)),double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity)) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) = multiply(multiply(double_divide(identity,A),X_14),A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),identity),multiply(multiply(double_divide(identity,A),X_14),A)) )],[refute_0_575,refute_0_581]) ).
cnf(refute_0_583,plain,
( double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) != multiply(multiply(double_divide(identity,A),X_14),A)
| double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) != double_divide(identity,inverse(X_14))
| multiply(multiply(double_divide(identity,A),X_14),A) = double_divide(identity,inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)),double_divide(identity,inverse(X_14))) ),[0],$fot(multiply(multiply(double_divide(identity,A),X_14),A))]]) ).
cnf(refute_0_584,plain,
( double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)) != double_divide(identity,inverse(X_14))
| multiply(multiply(double_divide(identity,A),X_14),A) = double_divide(identity,inverse(X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)),multiply(multiply(double_divide(identity,A),X_14),A)) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(multiply(double_divide(identity,A),X_14),A) = double_divide(identity,inverse(X_14)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,multiply(double_divide(identity,A),X_14)),inverse(identity)),double_divide(identity,inverse(X_14))) )],[refute_0_570,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(multiply(double_divide(identity,A),X_14),A) = multiply(A,multiply(double_divide(identity,A),X_14)),
inference(subst,[],[refute_0_448:[bind(X_10,$fot(multiply(double_divide(identity,A),X_14))),bind(X_11,$fot(A))]]) ).
cnf(refute_0_587,plain,
( multiply(multiply(double_divide(identity,A),X_14),A) != multiply(A,multiply(double_divide(identity,A),X_14))
| multiply(multiply(double_divide(identity,A),X_14),A) != double_divide(identity,inverse(X_14))
| multiply(A,multiply(double_divide(identity,A),X_14)) = double_divide(identity,inverse(X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(identity,A),X_14),A),double_divide(identity,inverse(X_14))) ),[0],$fot(multiply(A,multiply(double_divide(identity,A),X_14)))]]) ).
cnf(refute_0_588,plain,
( multiply(multiply(double_divide(identity,A),X_14),A) != double_divide(identity,inverse(X_14))
| multiply(A,multiply(double_divide(identity,A),X_14)) = double_divide(identity,inverse(X_14)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,A),X_14),A),multiply(A,multiply(double_divide(identity,A),X_14))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
( multiply(A,multiply(double_divide(identity,A),X_14)) != double_divide(identity,inverse(X_14))
| double_divide(identity,inverse(X_14)) != X_14
| multiply(A,multiply(double_divide(identity,A),X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,multiply(double_divide(identity,A),X_14)),X_14) ),[0],$fot(double_divide(identity,inverse(X_14)))]]) ).
cnf(refute_0_590,plain,
( multiply(A,multiply(double_divide(identity,A),X_14)) != double_divide(identity,inverse(X_14))
| multiply(A,multiply(double_divide(identity,A),X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_14)),X_14) )],[refute_0_541,refute_0_589]) ).
cnf(refute_0_591,plain,
( multiply(multiply(double_divide(identity,A),X_14),A) != double_divide(identity,inverse(X_14))
| multiply(A,multiply(double_divide(identity,A),X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(A,multiply(double_divide(identity,A),X_14)),double_divide(identity,inverse(X_14))) )],[refute_0_588,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(A,multiply(double_divide(identity,A),X_14)) = X_14,
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(identity,A),X_14),A),double_divide(identity,inverse(X_14))) )],[refute_0_585,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(inverse(X_11),multiply(double_divide(identity,inverse(X_11)),X_42)) = X_42,
inference(subst,[],[refute_0_592:[bind(A,$fot(inverse(X_11))),bind(X_14,$fot(X_42))]]) ).
cnf(refute_0_594,plain,
( multiply(inverse(X_11),multiply(double_divide(identity,inverse(X_11)),X_42)) != X_42
| double_divide(identity,inverse(X_11)) != X_11
| multiply(inverse(X_11),multiply(X_11,X_42)) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),multiply(double_divide(identity,inverse(X_11)),X_42)),X_42) ),[0,1,0],$fot(X_11)]]) ).
cnf(refute_0_595,plain,
( multiply(inverse(X_11),multiply(double_divide(identity,inverse(X_11)),X_42)) != X_42
| multiply(inverse(X_11),multiply(X_11,X_42)) = X_42 ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_11)),X_11) )],[refute_0_439,refute_0_594]) ).
cnf(refute_0_596,plain,
multiply(inverse(X_11),multiply(X_11,X_42)) = X_42,
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(double_divide(identity,inverse(X_11)),X_42)),X_42) )],[refute_0_593,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(inverse(X_43),multiply(X_43,double_divide(identity,X_43))) = double_divide(identity,X_43),
inference(subst,[],[refute_0_596:[bind(X_11,$fot(X_43)),bind(X_42,$fot(double_divide(identity,X_43)))]]) ).
cnf(refute_0_598,plain,
double_divide(identity,double_divide(identity,inverse(X_11))) = double_divide(identity,double_divide(identity,inverse(X_11))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(identity,inverse(X_11))))]]) ).
cnf(refute_0_599,plain,
( double_divide(identity,double_divide(identity,inverse(X_11))) != double_divide(identity,double_divide(identity,inverse(X_11)))
| double_divide(identity,inverse(X_11)) != X_11
| double_divide(identity,double_divide(identity,inverse(X_11))) = double_divide(identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_11))),double_divide(identity,double_divide(identity,inverse(X_11)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_600,plain,
( double_divide(identity,inverse(X_11)) != X_11
| double_divide(identity,double_divide(identity,inverse(X_11))) = double_divide(identity,X_11) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_11))),double_divide(identity,double_divide(identity,inverse(X_11)))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
double_divide(identity,double_divide(identity,inverse(X_11))) = double_divide(identity,X_11),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(X_11)),X_11) )],[refute_0_439,refute_0_600]) ).
cnf(refute_0_602,plain,
multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))) = multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))),
introduced(tautology,[refl,[$fot(multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))))]]) ).
cnf(refute_0_603,plain,
( multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))) != multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11))))
| double_divide(identity,double_divide(identity,inverse(X_11))) != double_divide(identity,X_11)
| multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))) = multiply(X_11,double_divide(identity,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))),multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11))))) ),[1,1],$fot(double_divide(identity,X_11))]]) ).
cnf(refute_0_604,plain,
( double_divide(identity,double_divide(identity,inverse(X_11))) != double_divide(identity,X_11)
| multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))) = multiply(X_11,double_divide(identity,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))),multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11))))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))) = multiply(X_11,double_divide(identity,X_11)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(identity,inverse(X_11))),double_divide(identity,X_11)) )],[refute_0_601,refute_0_604]) ).
cnf(refute_0_606,plain,
double_divide(double_divide(X_13,double_divide(identity,inverse(double_divide(B,A)))),inverse(identity)) = multiply(X_13,double_divide(B,A)),
inference(subst,[],[refute_0_47:[bind(X_10,$fot(X_13)),bind(X_11,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_607,plain,
( double_divide(double_divide(X_13,double_divide(identity,inverse(double_divide(B,A)))),inverse(identity)) != multiply(X_13,double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = multiply(X_13,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(double_divide(B,A)))),inverse(identity)),multiply(X_13,double_divide(B,A))) ),[0,0,1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_608,plain,
( double_divide(double_divide(X_13,double_divide(identity,inverse(double_divide(B,A)))),inverse(identity)) != multiply(X_13,double_divide(B,A))
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = multiply(X_13,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_43,refute_0_607]) ).
cnf(refute_0_609,plain,
double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = multiply(X_13,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(double_divide(B,A)))),inverse(identity)),multiply(X_13,double_divide(B,A))) )],[refute_0_606,refute_0_608]) ).
cnf(refute_0_610,plain,
inverse(double_divide(X_13,double_divide(identity,multiply(A,B)))) = multiply(double_divide(identity,multiply(A,B)),X_13),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(identity,multiply(A,B)))),bind(B,$fot(X_13))]]) ).
cnf(refute_0_611,plain,
double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) = inverse(double_divide(X_13,double_divide(identity,multiply(A,B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_13,double_divide(identity,multiply(A,B)))))]]) ).
cnf(refute_0_612,plain,
( double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) != inverse(double_divide(X_13,double_divide(identity,multiply(A,B))))
| inverse(double_divide(X_13,double_divide(identity,multiply(A,B)))) != multiply(double_divide(identity,multiply(A,B)),X_13)
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) = multiply(double_divide(identity,multiply(A,B)),X_13) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity))),bind(Y,$fot(inverse(double_divide(X_13,double_divide(identity,multiply(A,B)))))),bind(Z,$fot(multiply(double_divide(identity,multiply(A,B)),X_13)))]]) ).
cnf(refute_0_613,plain,
( inverse(double_divide(X_13,double_divide(identity,multiply(A,B)))) != multiply(double_divide(identity,multiply(A,B)),X_13)
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) = multiply(double_divide(identity,multiply(A,B)),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity),inverse(double_divide(X_13,double_divide(identity,multiply(A,B))))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) = multiply(double_divide(identity,multiply(A,B)),X_13),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_13,double_divide(identity,multiply(A,B)))),multiply(double_divide(identity,multiply(A,B)),X_13)) )],[refute_0_610,refute_0_613]) ).
cnf(refute_0_615,plain,
double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)))]]) ).
cnf(refute_0_616,plain,
( double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)),double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_617,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)),double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_617]) ).
cnf(refute_0_619,plain,
( double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) != multiply(double_divide(identity,multiply(A,B)),X_13)
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) != double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity)
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = multiply(double_divide(identity,multiply(A,B)),X_13) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity))),bind(Z,$fot(multiply(double_divide(identity,multiply(A,B)),X_13)))]]) ).
cnf(refute_0_620,plain,
( double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity) != multiply(double_divide(identity,multiply(A,B)),X_13)
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = multiply(double_divide(identity,multiply(A,B)),X_13) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)),double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity)) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) = multiply(double_divide(identity,multiply(A,B)),X_13),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),identity),multiply(double_divide(identity,multiply(A,B)),X_13)) )],[refute_0_614,refute_0_620]) ).
cnf(refute_0_622,plain,
( double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) != multiply(X_13,double_divide(B,A))
| double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) != multiply(double_divide(identity,multiply(A,B)),X_13)
| multiply(double_divide(identity,multiply(A,B)),X_13) = multiply(X_13,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)),multiply(X_13,double_divide(B,A))) ),[0],$fot(multiply(double_divide(identity,multiply(A,B)),X_13))]]) ).
cnf(refute_0_623,plain,
( double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)) != multiply(X_13,double_divide(B,A))
| multiply(double_divide(identity,multiply(A,B)),X_13) = multiply(X_13,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)),multiply(double_divide(identity,multiply(A,B)),X_13)) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
multiply(double_divide(identity,multiply(A,B)),X_13) = multiply(X_13,double_divide(B,A)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,multiply(A,B))),inverse(identity)),multiply(X_13,double_divide(B,A))) )],[refute_0_609,refute_0_623]) ).
cnf(refute_0_625,plain,
multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) = multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))),
inference(subst,[],[refute_0_624:[bind(A,$fot(double_divide(identity,inverse(X_11)))),bind(B,$fot(identity)),bind(X_13,$fot(X_11))]]) ).
cnf(refute_0_626,plain,
( multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))) != multiply(X_11,double_divide(identity,X_11))
| multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) != multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11))))
| multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) = multiply(X_11,double_divide(identity,X_11)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11))),bind(Y,$fot(multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))))),bind(Z,$fot(multiply(X_11,double_divide(identity,X_11))))]]) ).
cnf(refute_0_627,plain,
( multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))) != multiply(X_11,double_divide(identity,X_11))
| multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) = multiply(X_11,double_divide(identity,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11),multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11))))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) = multiply(X_11,double_divide(identity,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(identity,double_divide(identity,inverse(X_11)))),multiply(X_11,double_divide(identity,X_11))) )],[refute_0_605,refute_0_627]) ).
cnf(refute_0_629,plain,
( multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11) != multiply(X_11,double_divide(identity,X_11))
| identity != multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)
| identity = multiply(X_11,double_divide(identity,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)) ),[1],$fot(multiply(X_11,double_divide(identity,X_11)))]]) ).
cnf(refute_0_630,plain,
( identity != multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)
| identity = multiply(X_11,double_divide(identity,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11),multiply(X_11,double_divide(identity,X_11))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
identity = multiply(X_11,double_divide(identity,X_11)),
inference(resolve,[$cnf( $equal(identity,multiply(double_divide(identity,multiply(double_divide(identity,inverse(X_11)),identity)),X_11)) )],[refute_0_123,refute_0_630]) ).
cnf(refute_0_632,plain,
identity = multiply(X_43,double_divide(identity,X_43)),
inference(subst,[],[refute_0_631:[bind(X_11,$fot(X_43))]]) ).
cnf(refute_0_633,plain,
( identity != multiply(X_43,double_divide(identity,X_43))
| multiply(X_43,double_divide(identity,X_43)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(multiply(X_43,double_divide(identity,X_43))))]]) ).
cnf(refute_0_634,plain,
multiply(X_43,double_divide(identity,X_43)) = identity,
inference(resolve,[$cnf( $equal(identity,multiply(X_43,double_divide(identity,X_43))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
( multiply(X_43,double_divide(identity,X_43)) != identity
| multiply(inverse(X_43),multiply(X_43,double_divide(identity,X_43))) != double_divide(identity,X_43)
| multiply(inverse(X_43),identity) = double_divide(identity,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_43),multiply(X_43,double_divide(identity,X_43))),double_divide(identity,X_43)) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_636,plain,
( multiply(inverse(X_43),multiply(X_43,double_divide(identity,X_43))) != double_divide(identity,X_43)
| multiply(inverse(X_43),identity) = double_divide(identity,X_43) ),
inference(resolve,[$cnf( $equal(multiply(X_43,double_divide(identity,X_43)),identity) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
multiply(inverse(X_43),identity) = double_divide(identity,X_43),
inference(resolve,[$cnf( $equal(multiply(inverse(X_43),multiply(X_43,double_divide(identity,X_43))),double_divide(identity,X_43)) )],[refute_0_597,refute_0_636]) ).
cnf(refute_0_638,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_535:[bind(C,$fot(X_10))]]) ).
cnf(refute_0_639,plain,
( inverse(inverse(X_10)) != X_10
| inverse(inverse(X_10)) != multiply(X_10,identity)
| X_10 = multiply(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,identity)) ),[0],$fot(X_10)]]) ).
cnf(refute_0_640,plain,
( inverse(inverse(X_10)) != multiply(X_10,identity)
| X_10 = multiply(X_10,identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
X_10 = multiply(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),multiply(X_10,identity)) )],[refute_0_303,refute_0_640]) ).
cnf(refute_0_642,plain,
( X_10 != multiply(X_10,identity)
| multiply(X_10,identity) = X_10 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_10)),bind(Y,$fot(multiply(X_10,identity)))]]) ).
cnf(refute_0_643,plain,
multiply(X_10,identity) = X_10,
inference(resolve,[$cnf( $equal(X_10,multiply(X_10,identity)) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
multiply(inverse(X_43),identity) = inverse(X_43),
inference(subst,[],[refute_0_643:[bind(X_10,$fot(inverse(X_43)))]]) ).
cnf(refute_0_645,plain,
( multiply(inverse(X_43),identity) != double_divide(identity,X_43)
| multiply(inverse(X_43),identity) != inverse(X_43)
| inverse(X_43) = double_divide(identity,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_43),identity),double_divide(identity,X_43)) ),[0],$fot(inverse(X_43))]]) ).
cnf(refute_0_646,plain,
( multiply(inverse(X_43),identity) != double_divide(identity,X_43)
| inverse(X_43) = double_divide(identity,X_43) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_43),identity),inverse(X_43)) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
inverse(X_43) = double_divide(identity,X_43),
inference(resolve,[$cnf( $equal(multiply(inverse(X_43),identity),double_divide(identity,X_43)) )],[refute_0_637,refute_0_646]) ).
cnf(refute_0_648,plain,
( inverse(X_43) != double_divide(identity,X_43)
| double_divide(identity,X_43) = inverse(X_43) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_43))),bind(Y,$fot(double_divide(identity,X_43)))]]) ).
cnf(refute_0_649,plain,
double_divide(identity,X_43) = inverse(X_43),
inference(resolve,[$cnf( $equal(inverse(X_43),double_divide(identity,X_43)) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
double_divide(identity,multiply(A,B)) = inverse(multiply(A,B)),
inference(subst,[],[refute_0_649:[bind(X_43,$fot(multiply(A,B)))]]) ).
cnf(refute_0_651,plain,
( double_divide(identity,multiply(A,B)) != inverse(multiply(A,B))
| inverse(multiply(A,B)) != double_divide(A,B)
| double_divide(identity,multiply(A,B)) = double_divide(A,B) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,multiply(A,B)))),bind(Y,$fot(inverse(multiply(A,B)))),bind(Z,$fot(double_divide(A,B)))]]) ).
cnf(refute_0_652,plain,
( inverse(multiply(A,B)) != double_divide(A,B)
| double_divide(identity,multiply(A,B)) = double_divide(A,B) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(A,B)),inverse(multiply(A,B))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
double_divide(identity,multiply(A,B)) = double_divide(A,B),
inference(resolve,[$cnf( $equal(inverse(multiply(A,B)),double_divide(A,B)) )],[refute_0_565,refute_0_652]) ).
cnf(refute_0_654,plain,
( double_divide(B,A) != double_divide(identity,multiply(A,B))
| double_divide(identity,multiply(A,B)) != double_divide(A,B)
| double_divide(B,A) = double_divide(A,B) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(B,A),double_divide(A,B)) ),[0],$fot(double_divide(identity,multiply(A,B)))]]) ).
cnf(refute_0_655,plain,
( double_divide(B,A) != double_divide(identity,multiply(A,B))
| double_divide(B,A) = double_divide(A,B) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(A,B)),double_divide(A,B)) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
double_divide(B,A) = double_divide(A,B),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(identity,multiply(A,B))) )],[refute_0_479,refute_0_655]) ).
cnf(refute_0_657,plain,
( double_divide(B,A) != double_divide(A,B)
| double_divide(A,B) = double_divide(B,A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(B,A))),bind(Y,$fot(double_divide(A,B)))]]) ).
cnf(refute_0_658,plain,
double_divide(A,B) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(A,B)) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)) = double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)),
inference(subst,[],[refute_0_658:[bind(A,$fot(double_divide(double_divide(double_divide(B,A),X_10),X_12))),bind(B,$fot(multiply(A,B)))]]) ).
cnf(refute_0_660,plain,
multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) = multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),
introduced(tautology,[refl,[$fot(multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))))]]) ).
cnf(refute_0_661,plain,
( multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) != multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))
| double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)) != double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) = multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))) ),[1,1],$fot(double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)))]]) ).
cnf(refute_0_662,plain,
( double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)) != double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) = multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) = multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B)),double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) )],[refute_0_659,refute_0_662]) ).
cnf(refute_0_664,plain,
( multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) != X_12
| multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) != multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)))
| multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),X_12) ),[0],$fot(multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))))]]) ).
cnf(refute_0_665,plain,
( multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))) != X_12
| multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(double_divide(double_divide(double_divide(B,A),X_10),X_12),multiply(A,B))),X_12) )],[refute_0_475,refute_0_665]) ).
cnf(refute_0_667,plain,
multiply(inverse(X_11),multiply(X_11,double_divide(X_11,X_61))) = double_divide(X_11,X_61),
inference(subst,[],[refute_0_596:[bind(X_42,$fot(double_divide(X_11,X_61)))]]) ).
cnf(refute_0_668,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)),
inference(subst,[],[refute_0_30:[bind(B,$fot(identity)),bind(C,$fot(double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))))]]) ).
cnf(refute_0_669,plain,
double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_30:[bind(A,$fot(double_divide(identity,A))),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_670,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))) ),[0,0,1],$fot(X_12)]]) ).
cnf(refute_0_671,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))
| double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))),inverse(identity))),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))) )],[refute_0_668,refute_0_671]) ).
cnf(refute_0_673,plain,
inverse(double_divide(A,X_12)) = multiply(X_12,A),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_12)),bind(B,$fot(A))]]) ).
cnf(refute_0_674,plain,
double_divide(double_divide(A,X_12),identity) = inverse(double_divide(A,X_12)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(A,X_12)))]]) ).
cnf(refute_0_675,plain,
( double_divide(double_divide(A,X_12),identity) != inverse(double_divide(A,X_12))
| inverse(double_divide(A,X_12)) != multiply(X_12,A)
| double_divide(double_divide(A,X_12),identity) = multiply(X_12,A) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,X_12),identity))),bind(Y,$fot(inverse(double_divide(A,X_12)))),bind(Z,$fot(multiply(X_12,A)))]]) ).
cnf(refute_0_676,plain,
( inverse(double_divide(A,X_12)) != multiply(X_12,A)
| double_divide(double_divide(A,X_12),identity) = multiply(X_12,A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),identity),inverse(double_divide(A,X_12))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
double_divide(double_divide(A,X_12),identity) = multiply(X_12,A),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,X_12)),multiply(X_12,A)) )],[refute_0_673,refute_0_676]) ).
cnf(refute_0_678,plain,
double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(A,X_12),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,X_12),inverse(identity)))]]) ).
cnf(refute_0_679,plain,
( double_divide(double_divide(A,X_12),inverse(identity)) != double_divide(double_divide(A,X_12),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(A,X_12),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(A,X_12),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_680,plain,
( inverse(identity) != identity
| double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(A,X_12),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(A,X_12),inverse(identity))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
double_divide(double_divide(A,X_12),inverse(identity)) = double_divide(double_divide(A,X_12),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_680]) ).
cnf(refute_0_682,plain,
( double_divide(double_divide(A,X_12),identity) != multiply(X_12,A)
| double_divide(double_divide(A,X_12),inverse(identity)) != double_divide(double_divide(A,X_12),identity)
| double_divide(double_divide(A,X_12),inverse(identity)) = multiply(X_12,A) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,X_12),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(A,X_12),identity))),bind(Z,$fot(multiply(X_12,A)))]]) ).
cnf(refute_0_683,plain,
( double_divide(double_divide(A,X_12),identity) != multiply(X_12,A)
| double_divide(double_divide(A,X_12),inverse(identity)) = multiply(X_12,A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(A,X_12),identity)) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
double_divide(double_divide(A,X_12),inverse(identity)) = multiply(X_12,A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),identity),multiply(X_12,A)) )],[refute_0_677,refute_0_683]) ).
cnf(refute_0_685,plain,
( double_divide(double_divide(A,X_12),inverse(identity)) != multiply(X_12,A)
| double_divide(double_divide(A,X_12),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))
| multiply(X_12,A) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))) ),[0],$fot(multiply(X_12,A))]]) ).
cnf(refute_0_686,plain,
( double_divide(double_divide(A,X_12),inverse(identity)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))
| multiply(X_12,A) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),multiply(X_12,A)) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
multiply(X_12,A) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,X_12),inverse(identity)),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))) )],[refute_0_672,refute_0_686]) ).
cnf(refute_0_688,plain,
double_divide(identity,A) = inverse(A),
inference(subst,[],[refute_0_649:[bind(X_43,$fot(A))]]) ).
cnf(refute_0_689,plain,
double_divide(X_11,double_divide(identity,A)) = double_divide(X_11,double_divide(identity,A)),
introduced(tautology,[refl,[$fot(double_divide(X_11,double_divide(identity,A)))]]) ).
cnf(refute_0_690,plain,
( double_divide(X_11,double_divide(identity,A)) != double_divide(X_11,double_divide(identity,A))
| double_divide(identity,A) != inverse(A)
| double_divide(X_11,double_divide(identity,A)) = double_divide(X_11,inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_11,double_divide(identity,A)),double_divide(X_11,double_divide(identity,A))) ),[1,1],$fot(inverse(A))]]) ).
cnf(refute_0_691,plain,
( double_divide(identity,A) != inverse(A)
| double_divide(X_11,double_divide(identity,A)) = double_divide(X_11,inverse(A)) ),
inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(identity,A)),double_divide(X_11,double_divide(identity,A))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
double_divide(X_11,double_divide(identity,A)) = double_divide(X_11,inverse(A)),
inference(resolve,[$cnf( $equal(double_divide(identity,A),inverse(A)) )],[refute_0_688,refute_0_691]) ).
cnf(refute_0_693,plain,
double_divide(double_divide(X_11,double_divide(identity,A)),X_12) = double_divide(double_divide(X_11,double_divide(identity,A)),X_12),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_11,double_divide(identity,A)),X_12))]]) ).
cnf(refute_0_694,plain,
( double_divide(X_11,double_divide(identity,A)) != double_divide(X_11,inverse(A))
| double_divide(double_divide(X_11,double_divide(identity,A)),X_12) != double_divide(double_divide(X_11,double_divide(identity,A)),X_12)
| double_divide(double_divide(X_11,double_divide(identity,A)),X_12) = double_divide(double_divide(X_11,inverse(A)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),double_divide(double_divide(X_11,double_divide(identity,A)),X_12)) ),[1,0],$fot(double_divide(X_11,inverse(A)))]]) ).
cnf(refute_0_695,plain,
( double_divide(X_11,double_divide(identity,A)) != double_divide(X_11,inverse(A))
| double_divide(double_divide(X_11,double_divide(identity,A)),X_12) = double_divide(double_divide(X_11,inverse(A)),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),double_divide(double_divide(X_11,double_divide(identity,A)),X_12)) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
double_divide(double_divide(X_11,double_divide(identity,A)),X_12) = double_divide(double_divide(X_11,inverse(A)),X_12),
inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(identity,A)),double_divide(X_11,inverse(A))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)))]]) ).
cnf(refute_0_698,plain,
( double_divide(double_divide(X_11,double_divide(identity,A)),X_12) != double_divide(double_divide(X_11,inverse(A)),X_12)
| double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) != double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))) ),[1,0],$fot(double_divide(double_divide(X_11,inverse(A)),X_12))]]) ).
cnf(refute_0_699,plain,
( double_divide(double_divide(X_11,double_divide(identity,A)),X_12) != double_divide(double_divide(X_11,inverse(A)),X_12)
| double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) = double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),double_divide(double_divide(X_11,inverse(A)),X_12)) )],[refute_0_696,refute_0_699]) ).
cnf(refute_0_701,plain,
( multiply(X_12,A) != double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)) != double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11))
| multiply(X_12,A) = double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,A),double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11))) ),[0],$fot(double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)))]]) ).
cnf(refute_0_702,plain,
( multiply(X_12,A) != double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))
| multiply(X_12,A) = double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11)),double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
multiply(X_12,A) = double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(X_12,A),double_divide(double_divide(double_divide(X_11,double_divide(identity,A)),X_12),inverse(X_11))) )],[refute_0_687,refute_0_702]) ).
cnf(refute_0_704,plain,
double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(A)),X_12)),
inference(subst,[],[refute_0_658:[bind(A,$fot(double_divide(double_divide(X_11,inverse(A)),X_12))),bind(B,$fot(inverse(X_11)))]]) ).
cnf(refute_0_705,plain,
( multiply(X_12,A) != double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11))
| double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)) != double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(A)),X_12))
| multiply(X_12,A) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(A)),X_12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_12,A),double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(A)),X_12))) ),[0],$fot(double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)))]]) ).
cnf(refute_0_706,plain,
( multiply(X_12,A) != double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11))
| multiply(X_12,A) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(A)),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11)),double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(A)),X_12))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
multiply(X_12,A) = double_divide(inverse(X_11),double_divide(double_divide(X_11,inverse(A)),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_12,A),double_divide(double_divide(double_divide(X_11,inverse(A)),X_12),inverse(X_11))) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
multiply(X_50,X_48) = double_divide(inverse(X_48),double_divide(double_divide(X_48,inverse(X_48)),X_50)),
inference(subst,[],[refute_0_707:[bind(A,$fot(X_48)),bind(X_11,$fot(X_48)),bind(X_12,$fot(X_50))]]) ).
cnf(refute_0_709,plain,
identity = double_divide(X_48,inverse(X_48)),
inference(subst,[],[identity:[bind(A,$fot(X_48))]]) ).
cnf(refute_0_710,plain,
( identity != double_divide(X_48,inverse(X_48))
| double_divide(X_48,inverse(X_48)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_48,inverse(X_48))))]]) ).
cnf(refute_0_711,plain,
double_divide(X_48,inverse(X_48)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_48,inverse(X_48))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
( multiply(X_50,X_48) != double_divide(inverse(X_48),double_divide(double_divide(X_48,inverse(X_48)),X_50))
| double_divide(X_48,inverse(X_48)) != identity
| multiply(X_50,X_48) = double_divide(inverse(X_48),double_divide(identity,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_50,X_48),double_divide(inverse(X_48),double_divide(double_divide(X_48,inverse(X_48)),X_50))) ),[1,1,0],$fot(identity)]]) ).
cnf(refute_0_713,plain,
( multiply(X_50,X_48) != double_divide(inverse(X_48),double_divide(double_divide(X_48,inverse(X_48)),X_50))
| multiply(X_50,X_48) = double_divide(inverse(X_48),double_divide(identity,X_50)) ),
inference(resolve,[$cnf( $equal(double_divide(X_48,inverse(X_48)),identity) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
multiply(X_50,X_48) = double_divide(inverse(X_48),double_divide(identity,X_50)),
inference(resolve,[$cnf( $equal(multiply(X_50,X_48),double_divide(inverse(X_48),double_divide(double_divide(X_48,inverse(X_48)),X_50))) )],[refute_0_708,refute_0_713]) ).
cnf(refute_0_715,plain,
double_divide(identity,X_50) = inverse(X_50),
inference(subst,[],[refute_0_649:[bind(X_43,$fot(X_50))]]) ).
cnf(refute_0_716,plain,
double_divide(inverse(X_48),double_divide(identity,X_50)) = double_divide(inverse(X_48),double_divide(identity,X_50)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_48),double_divide(identity,X_50)))]]) ).
cnf(refute_0_717,plain,
( double_divide(identity,X_50) != inverse(X_50)
| double_divide(inverse(X_48),double_divide(identity,X_50)) != double_divide(inverse(X_48),double_divide(identity,X_50))
| double_divide(inverse(X_48),double_divide(identity,X_50)) = double_divide(inverse(X_48),inverse(X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_48),double_divide(identity,X_50)),double_divide(inverse(X_48),double_divide(identity,X_50))) ),[1,1],$fot(inverse(X_50))]]) ).
cnf(refute_0_718,plain,
( double_divide(identity,X_50) != inverse(X_50)
| double_divide(inverse(X_48),double_divide(identity,X_50)) = double_divide(inverse(X_48),inverse(X_50)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),double_divide(identity,X_50)),double_divide(inverse(X_48),double_divide(identity,X_50))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
double_divide(inverse(X_48),double_divide(identity,X_50)) = double_divide(inverse(X_48),inverse(X_50)),
inference(resolve,[$cnf( $equal(double_divide(identity,X_50),inverse(X_50)) )],[refute_0_715,refute_0_718]) ).
cnf(refute_0_720,plain,
( multiply(X_50,X_48) != double_divide(inverse(X_48),double_divide(identity,X_50))
| double_divide(inverse(X_48),double_divide(identity,X_50)) != double_divide(inverse(X_48),inverse(X_50))
| multiply(X_50,X_48) = double_divide(inverse(X_48),inverse(X_50)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_50,X_48),double_divide(inverse(X_48),inverse(X_50))) ),[0],$fot(double_divide(inverse(X_48),double_divide(identity,X_50)))]]) ).
cnf(refute_0_721,plain,
( multiply(X_50,X_48) != double_divide(inverse(X_48),double_divide(identity,X_50))
| multiply(X_50,X_48) = double_divide(inverse(X_48),inverse(X_50)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),double_divide(identity,X_50)),double_divide(inverse(X_48),inverse(X_50))) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
multiply(X_50,X_48) = double_divide(inverse(X_48),inverse(X_50)),
inference(resolve,[$cnf( $equal(multiply(X_50,X_48),double_divide(inverse(X_48),double_divide(identity,X_50))) )],[refute_0_714,refute_0_721]) ).
cnf(refute_0_723,plain,
inverse(inverse(X_48)) = X_48,
inference(subst,[],[refute_0_535:[bind(C,$fot(X_48))]]) ).
cnf(refute_0_724,plain,
multiply(inverse(inverse(X_48)),X_50) = multiply(inverse(inverse(X_48)),X_50),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_48)),X_50))]]) ).
cnf(refute_0_725,plain,
( multiply(inverse(inverse(X_48)),X_50) != multiply(inverse(inverse(X_48)),X_50)
| inverse(inverse(X_48)) != X_48
| multiply(inverse(inverse(X_48)),X_50) = multiply(X_48,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_48)),X_50),multiply(inverse(inverse(X_48)),X_50)) ),[1,0],$fot(X_48)]]) ).
cnf(refute_0_726,plain,
( inverse(inverse(X_48)) != X_48
| multiply(inverse(inverse(X_48)),X_50) = multiply(X_48,X_50) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_48)),X_50),multiply(inverse(inverse(X_48)),X_50)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
multiply(inverse(inverse(X_48)),X_50) = multiply(X_48,X_50),
inference(resolve,[$cnf( $equal(inverse(inverse(X_48)),X_48) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
multiply(inverse(X_11),multiply(X_11,double_divide(X_11,inverse(X_51)))) = double_divide(X_11,inverse(X_51)),
inference(subst,[],[refute_0_596:[bind(X_42,$fot(double_divide(X_11,inverse(X_51))))]]) ).
cnf(refute_0_729,plain,
multiply(identity,X_48) = double_divide(inverse(X_49),double_divide(double_divide(X_49,inverse(X_48)),identity)),
inference(subst,[],[refute_0_707:[bind(A,$fot(X_48)),bind(X_11,$fot(X_49)),bind(X_12,$fot(identity))]]) ).
cnf(refute_0_730,plain,
inverse(double_divide(X_49,inverse(X_48))) = double_divide(double_divide(X_49,inverse(X_48)),identity),
inference(subst,[],[inverse:[bind(A,$fot(double_divide(X_49,inverse(X_48))))]]) ).
cnf(refute_0_731,plain,
( inverse(double_divide(X_49,inverse(X_48))) != double_divide(double_divide(X_49,inverse(X_48)),identity)
| double_divide(double_divide(X_49,inverse(X_48)),identity) = inverse(double_divide(X_49,inverse(X_48))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(double_divide(X_49,inverse(X_48))))),bind(Y,$fot(double_divide(double_divide(X_49,inverse(X_48)),identity)))]]) ).
cnf(refute_0_732,plain,
double_divide(double_divide(X_49,inverse(X_48)),identity) = inverse(double_divide(X_49,inverse(X_48))),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_49,inverse(X_48))),double_divide(double_divide(X_49,inverse(X_48)),identity)) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
( multiply(identity,X_48) != double_divide(inverse(X_49),double_divide(double_divide(X_49,inverse(X_48)),identity))
| double_divide(double_divide(X_49,inverse(X_48)),identity) != inverse(double_divide(X_49,inverse(X_48)))
| multiply(identity,X_48) = double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_48),double_divide(inverse(X_49),double_divide(double_divide(X_49,inverse(X_48)),identity))) ),[1,1],$fot(inverse(double_divide(X_49,inverse(X_48))))]]) ).
cnf(refute_0_734,plain,
( multiply(identity,X_48) != double_divide(inverse(X_49),double_divide(double_divide(X_49,inverse(X_48)),identity))
| multiply(identity,X_48) = double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_49,inverse(X_48)),identity),inverse(double_divide(X_49,inverse(X_48)))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(identity,X_48) = double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))),
inference(resolve,[$cnf( $equal(multiply(identity,X_48),double_divide(inverse(X_49),double_divide(double_divide(X_49,inverse(X_48)),identity))) )],[refute_0_729,refute_0_734]) ).
cnf(refute_0_736,plain,
multiply(identity,X_48) = X_48,
inference(subst,[],[refute_0_539:[bind(X_3,$fot(X_48))]]) ).
cnf(refute_0_737,plain,
( multiply(identity,X_48) != X_48
| multiply(identity,X_48) != double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))
| X_48 = double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_48),double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))) ),[0],$fot(X_48)]]) ).
cnf(refute_0_738,plain,
( multiply(identity,X_48) != double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))
| X_48 = double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_48),X_48) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
( double_divide(B,A) != double_divide(identity,multiply(A,B))
| double_divide(identity,multiply(A,B)) = double_divide(B,A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(B,A))),bind(Y,$fot(double_divide(identity,multiply(A,B))))]]) ).
cnf(refute_0_740,plain,
double_divide(identity,multiply(A,B)) = double_divide(B,A),
inference(resolve,[$cnf( $equal(double_divide(B,A),double_divide(identity,multiply(A,B))) )],[refute_0_479,refute_0_739]) ).
cnf(refute_0_741,plain,
multiply(double_divide(identity,multiply(A,B)),X_13) = multiply(double_divide(identity,multiply(A,B)),X_13),
introduced(tautology,[refl,[$fot(multiply(double_divide(identity,multiply(A,B)),X_13))]]) ).
cnf(refute_0_742,plain,
( multiply(double_divide(identity,multiply(A,B)),X_13) != multiply(double_divide(identity,multiply(A,B)),X_13)
| double_divide(identity,multiply(A,B)) != double_divide(B,A)
| multiply(double_divide(identity,multiply(A,B)),X_13) = multiply(double_divide(B,A),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(A,B)),X_13),multiply(double_divide(identity,multiply(A,B)),X_13)) ),[1,0],$fot(double_divide(B,A))]]) ).
cnf(refute_0_743,plain,
( double_divide(identity,multiply(A,B)) != double_divide(B,A)
| multiply(double_divide(identity,multiply(A,B)),X_13) = multiply(double_divide(B,A),X_13) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(A,B)),X_13),multiply(double_divide(identity,multiply(A,B)),X_13)) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
multiply(double_divide(identity,multiply(A,B)),X_13) = multiply(double_divide(B,A),X_13),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(A,B)),double_divide(B,A)) )],[refute_0_740,refute_0_743]) ).
cnf(refute_0_745,plain,
( multiply(double_divide(identity,multiply(A,B)),X_13) != multiply(X_13,double_divide(B,A))
| multiply(double_divide(identity,multiply(A,B)),X_13) != multiply(double_divide(B,A),X_13)
| multiply(double_divide(B,A),X_13) = multiply(X_13,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(identity,multiply(A,B)),X_13),multiply(X_13,double_divide(B,A))) ),[0],$fot(multiply(double_divide(B,A),X_13))]]) ).
cnf(refute_0_746,plain,
( multiply(double_divide(identity,multiply(A,B)),X_13) != multiply(X_13,double_divide(B,A))
| multiply(double_divide(B,A),X_13) = multiply(X_13,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(A,B)),X_13),multiply(double_divide(B,A),X_13)) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(double_divide(B,A),X_13) = multiply(X_13,double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(double_divide(identity,multiply(A,B)),X_13),multiply(X_13,double_divide(B,A))) )],[refute_0_624,refute_0_746]) ).
cnf(refute_0_748,plain,
multiply(double_divide(X_49,inverse(X_48)),X_49) = multiply(X_49,double_divide(X_49,inverse(X_48))),
inference(subst,[],[refute_0_747:[bind(A,$fot(inverse(X_48))),bind(B,$fot(X_49)),bind(X_13,$fot(X_49))]]) ).
cnf(refute_0_749,plain,
( multiply(X_50,X_48) != double_divide(inverse(X_48),inverse(X_50))
| double_divide(inverse(X_48),inverse(X_50)) = multiply(X_50,X_48) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_50,X_48))),bind(Y,$fot(double_divide(inverse(X_48),inverse(X_50))))]]) ).
cnf(refute_0_750,plain,
double_divide(inverse(X_48),inverse(X_50)) = multiply(X_50,X_48),
inference(resolve,[$cnf( $equal(multiply(X_50,X_48),double_divide(inverse(X_48),inverse(X_50))) )],[refute_0_722,refute_0_749]) ).
cnf(refute_0_751,plain,
double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) = multiply(double_divide(X_49,inverse(X_48)),X_49),
inference(subst,[],[refute_0_750:[bind(X_48,$fot(X_49)),bind(X_50,$fot(double_divide(X_49,inverse(X_48))))]]) ).
cnf(refute_0_752,plain,
( multiply(double_divide(X_49,inverse(X_48)),X_49) != multiply(X_49,double_divide(X_49,inverse(X_48)))
| double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) != multiply(double_divide(X_49,inverse(X_48)),X_49)
| double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) = multiply(X_49,double_divide(X_49,inverse(X_48))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))))),bind(Y,$fot(multiply(double_divide(X_49,inverse(X_48)),X_49))),bind(Z,$fot(multiply(X_49,double_divide(X_49,inverse(X_48)))))]]) ).
cnf(refute_0_753,plain,
( multiply(double_divide(X_49,inverse(X_48)),X_49) != multiply(X_49,double_divide(X_49,inverse(X_48)))
| double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) = multiply(X_49,double_divide(X_49,inverse(X_48))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))),multiply(double_divide(X_49,inverse(X_48)),X_49)) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) = multiply(X_49,double_divide(X_49,inverse(X_48))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_49,inverse(X_48)),X_49),multiply(X_49,double_divide(X_49,inverse(X_48)))) )],[refute_0_748,refute_0_753]) ).
cnf(refute_0_755,plain,
( X_48 != double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))
| double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))) != multiply(X_49,double_divide(X_49,inverse(X_48)))
| X_48 = multiply(X_49,double_divide(X_49,inverse(X_48))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_48,multiply(X_49,double_divide(X_49,inverse(X_48)))) ),[0],$fot(double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))))]]) ).
cnf(refute_0_756,plain,
( X_48 != double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))
| X_48 = multiply(X_49,double_divide(X_49,inverse(X_48))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48)))),multiply(X_49,double_divide(X_49,inverse(X_48)))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
( multiply(identity,X_48) != double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))
| X_48 = multiply(X_49,double_divide(X_49,inverse(X_48))) ),
inference(resolve,[$cnf( $equal(X_48,double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))) )],[refute_0_738,refute_0_756]) ).
cnf(refute_0_758,plain,
X_48 = multiply(X_49,double_divide(X_49,inverse(X_48))),
inference(resolve,[$cnf( $equal(multiply(identity,X_48),double_divide(inverse(X_49),inverse(double_divide(X_49,inverse(X_48))))) )],[refute_0_735,refute_0_757]) ).
cnf(refute_0_759,plain,
X_51 = multiply(X_11,double_divide(X_11,inverse(X_51))),
inference(subst,[],[refute_0_758:[bind(X_48,$fot(X_51)),bind(X_49,$fot(X_11))]]) ).
cnf(refute_0_760,plain,
( X_51 != multiply(X_11,double_divide(X_11,inverse(X_51)))
| multiply(X_11,double_divide(X_11,inverse(X_51))) = X_51 ),
inference(subst,[],[refute_0_2:[bind(X,$fot(X_51)),bind(Y,$fot(multiply(X_11,double_divide(X_11,inverse(X_51)))))]]) ).
cnf(refute_0_761,plain,
multiply(X_11,double_divide(X_11,inverse(X_51))) = X_51,
inference(resolve,[$cnf( $equal(X_51,multiply(X_11,double_divide(X_11,inverse(X_51)))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
( multiply(X_11,double_divide(X_11,inverse(X_51))) != X_51
| multiply(inverse(X_11),multiply(X_11,double_divide(X_11,inverse(X_51)))) != double_divide(X_11,inverse(X_51))
| multiply(inverse(X_11),X_51) = double_divide(X_11,inverse(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,double_divide(X_11,inverse(X_51)))),double_divide(X_11,inverse(X_51))) ),[0,1],$fot(X_51)]]) ).
cnf(refute_0_763,plain,
( multiply(inverse(X_11),multiply(X_11,double_divide(X_11,inverse(X_51)))) != double_divide(X_11,inverse(X_51))
| multiply(inverse(X_11),X_51) = double_divide(X_11,inverse(X_51)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(X_11,inverse(X_51))),X_51) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
multiply(inverse(X_11),X_51) = double_divide(X_11,inverse(X_51)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,double_divide(X_11,inverse(X_51)))),double_divide(X_11,inverse(X_51))) )],[refute_0_728,refute_0_763]) ).
cnf(refute_0_765,plain,
( multiply(inverse(X_11),X_51) != double_divide(X_11,inverse(X_51))
| double_divide(X_11,inverse(X_51)) = multiply(inverse(X_11),X_51) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_11),X_51))),bind(Y,$fot(double_divide(X_11,inverse(X_51))))]]) ).
cnf(refute_0_766,plain,
double_divide(X_11,inverse(X_51)) = multiply(inverse(X_11),X_51),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),X_51),double_divide(X_11,inverse(X_51))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
double_divide(inverse(X_48),inverse(X_50)) = multiply(inverse(inverse(X_48)),X_50),
inference(subst,[],[refute_0_766:[bind(X_11,$fot(inverse(X_48))),bind(X_51,$fot(X_50))]]) ).
cnf(refute_0_768,plain,
( multiply(inverse(inverse(X_48)),X_50) != multiply(X_48,X_50)
| double_divide(inverse(X_48),inverse(X_50)) != multiply(inverse(inverse(X_48)),X_50)
| double_divide(inverse(X_48),inverse(X_50)) = multiply(X_48,X_50) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_48),inverse(X_50)))),bind(Y,$fot(multiply(inverse(inverse(X_48)),X_50))),bind(Z,$fot(multiply(X_48,X_50)))]]) ).
cnf(refute_0_769,plain,
( multiply(inverse(inverse(X_48)),X_50) != multiply(X_48,X_50)
| double_divide(inverse(X_48),inverse(X_50)) = multiply(X_48,X_50) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),inverse(X_50)),multiply(inverse(inverse(X_48)),X_50)) )],[refute_0_767,refute_0_768]) ).
cnf(refute_0_770,plain,
double_divide(inverse(X_48),inverse(X_50)) = multiply(X_48,X_50),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_48)),X_50),multiply(X_48,X_50)) )],[refute_0_727,refute_0_769]) ).
cnf(refute_0_771,plain,
( multiply(X_50,X_48) != double_divide(inverse(X_48),inverse(X_50))
| double_divide(inverse(X_48),inverse(X_50)) != multiply(X_48,X_50)
| multiply(X_50,X_48) = multiply(X_48,X_50) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_50,X_48),multiply(X_48,X_50)) ),[0],$fot(double_divide(inverse(X_48),inverse(X_50)))]]) ).
cnf(refute_0_772,plain,
( multiply(X_50,X_48) != double_divide(inverse(X_48),inverse(X_50))
| multiply(X_50,X_48) = multiply(X_48,X_50) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_48),inverse(X_50)),multiply(X_48,X_50)) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
multiply(X_50,X_48) = multiply(X_48,X_50),
inference(resolve,[$cnf( $equal(multiply(X_50,X_48),double_divide(inverse(X_48),inverse(X_50))) )],[refute_0_722,refute_0_772]) ).
cnf(refute_0_774,plain,
multiply(X_11,X_42) = multiply(X_42,X_11),
inference(subst,[],[refute_0_773:[bind(X_48,$fot(X_42)),bind(X_50,$fot(X_11))]]) ).
cnf(refute_0_775,plain,
( multiply(X_11,X_42) != multiply(X_42,X_11)
| multiply(inverse(X_11),multiply(X_11,X_42)) != X_42
| multiply(inverse(X_11),multiply(X_42,X_11)) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,X_42)),X_42) ),[0,1],$fot(multiply(X_42,X_11))]]) ).
cnf(refute_0_776,plain,
( multiply(inverse(X_11),multiply(X_11,X_42)) != X_42
| multiply(inverse(X_11),multiply(X_42,X_11)) = X_42 ),
inference(resolve,[$cnf( $equal(multiply(X_11,X_42),multiply(X_42,X_11)) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
multiply(inverse(X_11),multiply(X_42,X_11)) = X_42,
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,X_42)),X_42) )],[refute_0_596,refute_0_776]) ).
cnf(refute_0_778,plain,
multiply(inverse(multiply(X_60,X_59)),multiply(inverse(X_59),multiply(X_60,X_59))) = inverse(X_59),
inference(subst,[],[refute_0_777:[bind(X_11,$fot(multiply(X_60,X_59))),bind(X_42,$fot(inverse(X_59)))]]) ).
cnf(refute_0_779,plain,
multiply(inverse(X_59),multiply(X_60,X_59)) = X_60,
inference(subst,[],[refute_0_777:[bind(X_11,$fot(X_59)),bind(X_42,$fot(X_60))]]) ).
cnf(refute_0_780,plain,
( multiply(inverse(X_59),multiply(X_60,X_59)) != X_60
| multiply(inverse(multiply(X_60,X_59)),multiply(inverse(X_59),multiply(X_60,X_59))) != inverse(X_59)
| multiply(inverse(multiply(X_60,X_59)),X_60) = inverse(X_59) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_60,X_59)),multiply(inverse(X_59),multiply(X_60,X_59))),inverse(X_59)) ),[0,1],$fot(X_60)]]) ).
cnf(refute_0_781,plain,
( multiply(inverse(multiply(X_60,X_59)),multiply(inverse(X_59),multiply(X_60,X_59))) != inverse(X_59)
| multiply(inverse(multiply(X_60,X_59)),X_60) = inverse(X_59) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),multiply(X_60,X_59)),X_60) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
multiply(inverse(multiply(X_60,X_59)),X_60) = inverse(X_59),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_60,X_59)),multiply(inverse(X_59),multiply(X_60,X_59))),inverse(X_59)) )],[refute_0_778,refute_0_781]) ).
cnf(refute_0_783,plain,
inverse(multiply(X_60,X_59)) = double_divide(X_60,X_59),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(X_60)),bind(X_14,$fot(X_59))]]) ).
cnf(refute_0_784,plain,
multiply(X_60,inverse(multiply(X_60,X_59))) = multiply(X_60,inverse(multiply(X_60,X_59))),
introduced(tautology,[refl,[$fot(multiply(X_60,inverse(multiply(X_60,X_59))))]]) ).
cnf(refute_0_785,plain,
( multiply(X_60,inverse(multiply(X_60,X_59))) != multiply(X_60,inverse(multiply(X_60,X_59)))
| inverse(multiply(X_60,X_59)) != double_divide(X_60,X_59)
| multiply(X_60,inverse(multiply(X_60,X_59))) = multiply(X_60,double_divide(X_60,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,inverse(multiply(X_60,X_59))),multiply(X_60,inverse(multiply(X_60,X_59)))) ),[1,1],$fot(double_divide(X_60,X_59))]]) ).
cnf(refute_0_786,plain,
( inverse(multiply(X_60,X_59)) != double_divide(X_60,X_59)
| multiply(X_60,inverse(multiply(X_60,X_59))) = multiply(X_60,double_divide(X_60,X_59)) ),
inference(resolve,[$cnf( $equal(multiply(X_60,inverse(multiply(X_60,X_59))),multiply(X_60,inverse(multiply(X_60,X_59)))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(X_60,inverse(multiply(X_60,X_59))) = multiply(X_60,double_divide(X_60,X_59)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_60,X_59)),double_divide(X_60,X_59)) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
multiply(inverse(inverse(X_55)),X_51) = double_divide(inverse(X_55),inverse(X_51)),
inference(subst,[],[refute_0_764:[bind(X_11,$fot(inverse(X_55)))]]) ).
cnf(refute_0_789,plain,
multiply(inverse(X_54),B) = inverse(double_divide(B,inverse(X_54))),
inference(subst,[],[refute_0_41:[bind(A,$fot(inverse(X_54)))]]) ).
cnf(refute_0_790,plain,
multiply(inverse(B),X_54) = double_divide(B,inverse(X_54)),
inference(subst,[],[refute_0_764:[bind(X_11,$fot(B)),bind(X_51,$fot(X_54))]]) ).
cnf(refute_0_791,plain,
( multiply(inverse(B),X_54) != double_divide(B,inverse(X_54))
| double_divide(B,inverse(X_54)) = multiply(inverse(B),X_54) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(B),X_54))),bind(Y,$fot(double_divide(B,inverse(X_54))))]]) ).
cnf(refute_0_792,plain,
double_divide(B,inverse(X_54)) = multiply(inverse(B),X_54),
inference(resolve,[$cnf( $equal(multiply(inverse(B),X_54),double_divide(B,inverse(X_54))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( multiply(inverse(X_54),B) != inverse(double_divide(B,inverse(X_54)))
| double_divide(B,inverse(X_54)) != multiply(inverse(B),X_54)
| multiply(inverse(X_54),B) = inverse(multiply(inverse(B),X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_54),B),inverse(double_divide(B,inverse(X_54)))) ),[1,0],$fot(multiply(inverse(B),X_54))]]) ).
cnf(refute_0_794,plain,
( multiply(inverse(X_54),B) != inverse(double_divide(B,inverse(X_54)))
| multiply(inverse(X_54),B) = inverse(multiply(inverse(B),X_54)) ),
inference(resolve,[$cnf( $equal(double_divide(B,inverse(X_54)),multiply(inverse(B),X_54)) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
multiply(inverse(X_54),B) = inverse(multiply(inverse(B),X_54)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),B),inverse(double_divide(B,inverse(X_54)))) )],[refute_0_789,refute_0_794]) ).
cnf(refute_0_796,plain,
inverse(multiply(inverse(B),X_54)) = double_divide(inverse(B),X_54),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(inverse(B))),bind(X_14,$fot(X_54))]]) ).
cnf(refute_0_797,plain,
( multiply(inverse(X_54),B) != inverse(multiply(inverse(B),X_54))
| inverse(multiply(inverse(B),X_54)) != double_divide(inverse(B),X_54)
| multiply(inverse(X_54),B) = double_divide(inverse(B),X_54) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_54),B),double_divide(inverse(B),X_54)) ),[0],$fot(inverse(multiply(inverse(B),X_54)))]]) ).
cnf(refute_0_798,plain,
( multiply(inverse(X_54),B) != inverse(multiply(inverse(B),X_54))
| multiply(inverse(X_54),B) = double_divide(inverse(B),X_54) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(B),X_54)),double_divide(inverse(B),X_54)) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
multiply(inverse(X_54),B) = double_divide(inverse(B),X_54),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),B),inverse(multiply(inverse(B),X_54))) )],[refute_0_795,refute_0_798]) ).
cnf(refute_0_800,plain,
multiply(inverse(inverse(X_51)),X_55) = double_divide(inverse(X_55),inverse(X_51)),
inference(subst,[],[refute_0_799:[bind(B,$fot(X_55)),bind(X_54,$fot(inverse(X_51)))]]) ).
cnf(refute_0_801,plain,
( multiply(inverse(inverse(X_51)),X_55) != double_divide(inverse(X_55),inverse(X_51))
| double_divide(inverse(X_55),inverse(X_51)) = multiply(inverse(inverse(X_51)),X_55) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(inverse(X_51)),X_55))),bind(Y,$fot(double_divide(inverse(X_55),inverse(X_51))))]]) ).
cnf(refute_0_802,plain,
double_divide(inverse(X_55),inverse(X_51)) = multiply(inverse(inverse(X_51)),X_55),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_51)),X_55),double_divide(inverse(X_55),inverse(X_51))) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
( multiply(inverse(inverse(X_55)),X_51) != double_divide(inverse(X_55),inverse(X_51))
| double_divide(inverse(X_55),inverse(X_51)) != multiply(inverse(inverse(X_51)),X_55)
| multiply(inverse(inverse(X_55)),X_51) = multiply(inverse(inverse(X_51)),X_55) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(inverse(X_55)),X_51),multiply(inverse(inverse(X_51)),X_55)) ),[0],$fot(double_divide(inverse(X_55),inverse(X_51)))]]) ).
cnf(refute_0_804,plain,
( multiply(inverse(inverse(X_55)),X_51) != double_divide(inverse(X_55),inverse(X_51))
| multiply(inverse(inverse(X_55)),X_51) = multiply(inverse(inverse(X_51)),X_55) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_55),inverse(X_51)),multiply(inverse(inverse(X_51)),X_55)) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
multiply(inverse(inverse(X_55)),X_51) = multiply(inverse(inverse(X_51)),X_55),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),X_51),double_divide(inverse(X_55),inverse(X_51))) )],[refute_0_788,refute_0_804]) ).
cnf(refute_0_806,plain,
inverse(inverse(X_55)) = X_55,
inference(subst,[],[refute_0_535:[bind(C,$fot(X_55))]]) ).
cnf(refute_0_807,plain,
multiply(inverse(inverse(X_55)),X_51) = multiply(inverse(inverse(X_55)),X_51),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_55)),X_51))]]) ).
cnf(refute_0_808,plain,
( multiply(inverse(inverse(X_55)),X_51) != multiply(inverse(inverse(X_55)),X_51)
| inverse(inverse(X_55)) != X_55
| multiply(inverse(inverse(X_55)),X_51) = multiply(X_55,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),X_51),multiply(inverse(inverse(X_55)),X_51)) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_809,plain,
( inverse(inverse(X_55)) != X_55
| multiply(inverse(inverse(X_55)),X_51) = multiply(X_55,X_51) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),X_51),multiply(inverse(inverse(X_55)),X_51)) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
multiply(inverse(inverse(X_55)),X_51) = multiply(X_55,X_51),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_806,refute_0_809]) ).
cnf(refute_0_811,plain,
( multiply(inverse(inverse(X_55)),X_51) != multiply(X_55,X_51)
| multiply(inverse(inverse(X_55)),X_51) != multiply(inverse(inverse(X_51)),X_55)
| multiply(X_55,X_51) = multiply(inverse(inverse(X_51)),X_55) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_55)),X_51),multiply(inverse(inverse(X_51)),X_55)) ),[0],$fot(multiply(X_55,X_51))]]) ).
cnf(refute_0_812,plain,
( multiply(inverse(inverse(X_55)),X_51) != multiply(inverse(inverse(X_51)),X_55)
| multiply(X_55,X_51) = multiply(inverse(inverse(X_51)),X_55) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),X_51),multiply(X_55,X_51)) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
inverse(inverse(X_51)) = X_51,
inference(subst,[],[refute_0_535:[bind(C,$fot(X_51))]]) ).
cnf(refute_0_814,plain,
multiply(inverse(inverse(X_51)),X_55) = multiply(inverse(inverse(X_51)),X_55),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_51)),X_55))]]) ).
cnf(refute_0_815,plain,
( multiply(inverse(inverse(X_51)),X_55) != multiply(inverse(inverse(X_51)),X_55)
| inverse(inverse(X_51)) != X_51
| multiply(inverse(inverse(X_51)),X_55) = multiply(X_51,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_51)),X_55),multiply(inverse(inverse(X_51)),X_55)) ),[1,0],$fot(X_51)]]) ).
cnf(refute_0_816,plain,
( inverse(inverse(X_51)) != X_51
| multiply(inverse(inverse(X_51)),X_55) = multiply(X_51,X_55) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_51)),X_55),multiply(inverse(inverse(X_51)),X_55)) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
multiply(inverse(inverse(X_51)),X_55) = multiply(X_51,X_55),
inference(resolve,[$cnf( $equal(inverse(inverse(X_51)),X_51) )],[refute_0_813,refute_0_816]) ).
cnf(refute_0_818,plain,
( multiply(X_55,X_51) != multiply(inverse(inverse(X_51)),X_55)
| multiply(inverse(inverse(X_51)),X_55) != multiply(X_51,X_55)
| multiply(X_55,X_51) = multiply(X_51,X_55) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_55,X_51),multiply(X_51,X_55)) ),[0],$fot(multiply(inverse(inverse(X_51)),X_55))]]) ).
cnf(refute_0_819,plain,
( multiply(X_55,X_51) != multiply(inverse(inverse(X_51)),X_55)
| multiply(X_55,X_51) = multiply(X_51,X_55) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_51)),X_55),multiply(X_51,X_55)) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
( multiply(inverse(inverse(X_55)),X_51) != multiply(inverse(inverse(X_51)),X_55)
| multiply(X_55,X_51) = multiply(X_51,X_55) ),
inference(resolve,[$cnf( $equal(multiply(X_55,X_51),multiply(inverse(inverse(X_51)),X_55)) )],[refute_0_812,refute_0_819]) ).
cnf(refute_0_821,plain,
multiply(X_55,X_51) = multiply(X_51,X_55),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_55)),X_51),multiply(inverse(inverse(X_51)),X_55)) )],[refute_0_805,refute_0_820]) ).
cnf(refute_0_822,plain,
( multiply(X_55,X_51) != multiply(X_51,X_55)
| multiply(X_51,X_55) = multiply(X_55,X_51) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_55,X_51))),bind(Y,$fot(multiply(X_51,X_55)))]]) ).
cnf(refute_0_823,plain,
multiply(X_51,X_55) = multiply(X_55,X_51),
inference(resolve,[$cnf( $equal(multiply(X_55,X_51),multiply(X_51,X_55)) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
multiply(inverse(multiply(X_60,X_59)),X_60) = multiply(X_60,inverse(multiply(X_60,X_59))),
inference(subst,[],[refute_0_823:[bind(X_51,$fot(inverse(multiply(X_60,X_59)))),bind(X_55,$fot(X_60))]]) ).
cnf(refute_0_825,plain,
( multiply(X_60,inverse(multiply(X_60,X_59))) != multiply(X_60,double_divide(X_60,X_59))
| multiply(inverse(multiply(X_60,X_59)),X_60) != multiply(X_60,inverse(multiply(X_60,X_59)))
| multiply(inverse(multiply(X_60,X_59)),X_60) = multiply(X_60,double_divide(X_60,X_59)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(multiply(X_60,X_59)),X_60))),bind(Y,$fot(multiply(X_60,inverse(multiply(X_60,X_59))))),bind(Z,$fot(multiply(X_60,double_divide(X_60,X_59))))]]) ).
cnf(refute_0_826,plain,
( multiply(X_60,inverse(multiply(X_60,X_59))) != multiply(X_60,double_divide(X_60,X_59))
| multiply(inverse(multiply(X_60,X_59)),X_60) = multiply(X_60,double_divide(X_60,X_59)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_60,X_59)),X_60),multiply(X_60,inverse(multiply(X_60,X_59)))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
multiply(inverse(multiply(X_60,X_59)),X_60) = multiply(X_60,double_divide(X_60,X_59)),
inference(resolve,[$cnf( $equal(multiply(X_60,inverse(multiply(X_60,X_59))),multiply(X_60,double_divide(X_60,X_59))) )],[refute_0_787,refute_0_826]) ).
cnf(refute_0_828,plain,
( multiply(inverse(multiply(X_60,X_59)),X_60) != multiply(X_60,double_divide(X_60,X_59))
| multiply(inverse(multiply(X_60,X_59)),X_60) != inverse(X_59)
| multiply(X_60,double_divide(X_60,X_59)) = inverse(X_59) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_60,X_59)),X_60),inverse(X_59)) ),[0],$fot(multiply(X_60,double_divide(X_60,X_59)))]]) ).
cnf(refute_0_829,plain,
( multiply(inverse(multiply(X_60,X_59)),X_60) != inverse(X_59)
| multiply(X_60,double_divide(X_60,X_59)) = inverse(X_59) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_60,X_59)),X_60),multiply(X_60,double_divide(X_60,X_59))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
multiply(X_60,double_divide(X_60,X_59)) = inverse(X_59),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_60,X_59)),X_60),inverse(X_59)) )],[refute_0_782,refute_0_829]) ).
cnf(refute_0_831,plain,
multiply(X_11,double_divide(X_11,X_61)) = inverse(X_61),
inference(subst,[],[refute_0_830:[bind(X_59,$fot(X_61)),bind(X_60,$fot(X_11))]]) ).
cnf(refute_0_832,plain,
( multiply(X_11,double_divide(X_11,X_61)) != inverse(X_61)
| multiply(inverse(X_11),multiply(X_11,double_divide(X_11,X_61))) != double_divide(X_11,X_61)
| multiply(inverse(X_11),inverse(X_61)) = double_divide(X_11,X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,double_divide(X_11,X_61))),double_divide(X_11,X_61)) ),[0,1],$fot(inverse(X_61))]]) ).
cnf(refute_0_833,plain,
( multiply(inverse(X_11),multiply(X_11,double_divide(X_11,X_61))) != double_divide(X_11,X_61)
| multiply(inverse(X_11),inverse(X_61)) = double_divide(X_11,X_61) ),
inference(resolve,[$cnf( $equal(multiply(X_11,double_divide(X_11,X_61)),inverse(X_61)) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
multiply(inverse(X_11),inverse(X_61)) = double_divide(X_11,X_61),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,double_divide(X_11,X_61))),double_divide(X_11,X_61)) )],[refute_0_667,refute_0_833]) ).
cnf(refute_0_835,plain,
multiply(inverse(X_11),inverse(multiply(X_75,X_76))) = double_divide(X_11,multiply(X_75,X_76)),
inference(subst,[],[refute_0_834:[bind(X_61,$fot(multiply(X_75,X_76)))]]) ).
cnf(refute_0_836,plain,
double_divide(X_75,X_76) = inverse(multiply(X_75,X_76)),
inference(subst,[],[refute_0_562:[bind(X_13,$fot(X_75)),bind(X_14,$fot(X_76))]]) ).
cnf(refute_0_837,plain,
( double_divide(X_75,X_76) != inverse(multiply(X_75,X_76))
| inverse(multiply(X_75,X_76)) = double_divide(X_75,X_76) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_75,X_76))),bind(Y,$fot(inverse(multiply(X_75,X_76))))]]) ).
cnf(refute_0_838,plain,
inverse(multiply(X_75,X_76)) = double_divide(X_75,X_76),
inference(resolve,[$cnf( $equal(double_divide(X_75,X_76),inverse(multiply(X_75,X_76))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
( multiply(inverse(X_11),inverse(multiply(X_75,X_76))) != double_divide(X_11,multiply(X_75,X_76))
| inverse(multiply(X_75,X_76)) != double_divide(X_75,X_76)
| multiply(inverse(X_11),double_divide(X_75,X_76)) = double_divide(X_11,multiply(X_75,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),inverse(multiply(X_75,X_76))),double_divide(X_11,multiply(X_75,X_76))) ),[0,1],$fot(double_divide(X_75,X_76))]]) ).
cnf(refute_0_840,plain,
( multiply(inverse(X_11),inverse(multiply(X_75,X_76))) != double_divide(X_11,multiply(X_75,X_76))
| multiply(inverse(X_11),double_divide(X_75,X_76)) = double_divide(X_11,multiply(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_75,X_76)),double_divide(X_75,X_76)) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
multiply(inverse(X_11),double_divide(X_75,X_76)) = double_divide(X_11,multiply(X_75,X_76)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),inverse(multiply(X_75,X_76))),double_divide(X_11,multiply(X_75,X_76))) )],[refute_0_835,refute_0_840]) ).
cnf(refute_0_842,plain,
multiply(inverse(X_53),double_divide(B,A)) = double_divide(X_53,inverse(double_divide(B,A))),
inference(subst,[],[refute_0_764:[bind(X_11,$fot(X_53)),bind(X_51,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_843,plain,
( multiply(inverse(X_53),double_divide(B,A)) != double_divide(X_53,inverse(double_divide(B,A)))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_53),double_divide(B,A)) = double_divide(X_53,multiply(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_53),double_divide(B,A)),double_divide(X_53,inverse(double_divide(B,A)))) ),[1,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_844,plain,
( multiply(inverse(X_53),double_divide(B,A)) != double_divide(X_53,inverse(double_divide(B,A)))
| multiply(inverse(X_53),double_divide(B,A)) = double_divide(X_53,multiply(A,B)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_43,refute_0_843]) ).
cnf(refute_0_845,plain,
multiply(inverse(X_53),double_divide(B,A)) = double_divide(X_53,multiply(A,B)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_53),double_divide(B,A)),double_divide(X_53,inverse(double_divide(B,A)))) )],[refute_0_842,refute_0_844]) ).
cnf(refute_0_846,plain,
multiply(inverse(X_11),double_divide(X_75,X_76)) = double_divide(X_11,multiply(X_76,X_75)),
inference(subst,[],[refute_0_845:[bind(A,$fot(X_76)),bind(B,$fot(X_75)),bind(X_53,$fot(X_11))]]) ).
cnf(refute_0_847,plain,
( multiply(inverse(X_11),double_divide(X_75,X_76)) != double_divide(X_11,multiply(X_75,X_76))
| multiply(inverse(X_11),double_divide(X_75,X_76)) != double_divide(X_11,multiply(X_76,X_75))
| double_divide(X_11,multiply(X_76,X_75)) = double_divide(X_11,multiply(X_75,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),double_divide(X_75,X_76)),double_divide(X_11,multiply(X_75,X_76))) ),[0],$fot(double_divide(X_11,multiply(X_76,X_75)))]]) ).
cnf(refute_0_848,plain,
( multiply(inverse(X_11),double_divide(X_75,X_76)) != double_divide(X_11,multiply(X_75,X_76))
| double_divide(X_11,multiply(X_76,X_75)) = double_divide(X_11,multiply(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),double_divide(X_75,X_76)),double_divide(X_11,multiply(X_76,X_75))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
double_divide(X_11,multiply(X_76,X_75)) = double_divide(X_11,multiply(X_75,X_76)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),double_divide(X_75,X_76)),double_divide(X_11,multiply(X_75,X_76))) )],[refute_0_841,refute_0_848]) ).
cnf(refute_0_850,plain,
( double_divide(X_11,multiply(X_76,X_75)) != double_divide(X_11,multiply(X_75,X_76))
| double_divide(X_11,multiply(X_75,X_76)) = double_divide(X_11,multiply(X_76,X_75)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_11,multiply(X_76,X_75)))),bind(Y,$fot(double_divide(X_11,multiply(X_75,X_76))))]]) ).
cnf(refute_0_851,plain,
double_divide(X_11,multiply(X_75,X_76)) = double_divide(X_11,multiply(X_76,X_75)),
inference(resolve,[$cnf( $equal(double_divide(X_11,multiply(X_76,X_75)),double_divide(X_11,multiply(X_75,X_76))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A)) = double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12))),
inference(subst,[],[refute_0_851:[bind(X_11,$fot(B)),bind(X_75,$fot(double_divide(double_divide(double_divide(B,A),X_10),X_12))),bind(X_76,$fot(A))]]) ).
cnf(refute_0_853,plain,
multiply(double_divide(X_90,X_91),double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90)))) = inverse(multiply(X_91,multiply(X_92,X_90))),
inference(subst,[],[refute_0_830:[bind(X_59,$fot(multiply(X_91,multiply(X_92,X_90)))),bind(X_60,$fot(double_divide(X_90,X_91)))]]) ).
cnf(refute_0_854,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = inverse(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity))),
inference(subst,[],[refute_0_41:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_855,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_30:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_856,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != inverse(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)))
| double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)) != X_12
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),inverse(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_857,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != inverse(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),inverse(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)))) )],[refute_0_854,refute_0_857]) ).
cnf(refute_0_859,plain,
inverse(double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_12,double_divide(X_11,X_10)),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_12)),bind(B,$fot(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_860,plain,
multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_861,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| inverse(double_divide(double_divide(X_11,X_10),X_12)) != multiply(X_12,double_divide(X_11,X_10))
| multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) ),[1,1],$fot(multiply(X_12,double_divide(X_11,X_10)))]]) ).
cnf(refute_0_862,plain,
( inverse(double_divide(double_divide(X_11,X_10),X_12)) != multiply(X_12,double_divide(X_11,X_10))
| multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_11,X_10),X_12)),multiply(X_12,double_divide(X_11,X_10))) )],[refute_0_859,refute_0_862]) ).
cnf(refute_0_864,plain,
multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),
inference(subst,[],[refute_0_823:[bind(X_51,$fot(inverse(double_divide(double_divide(X_11,X_10),X_12)))),bind(X_55,$fot(X_11))]]) ).
cnf(refute_0_865,plain,
( multiply(inverse(X_54),B) != double_divide(inverse(B),X_54)
| double_divide(inverse(B),X_54) = multiply(inverse(X_54),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_54),B))),bind(Y,$fot(double_divide(inverse(B),X_54)))]]) ).
cnf(refute_0_866,plain,
double_divide(inverse(B),X_54) = multiply(inverse(X_54),B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_54),B),double_divide(inverse(B),X_54)) )],[refute_0_799,refute_0_865]) ).
cnf(refute_0_867,plain,
double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) = multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11),
inference(subst,[],[refute_0_866:[bind(B,$fot(X_11)),bind(X_54,$fot(double_divide(double_divide(X_11,X_10),X_12)))]]) ).
cnf(refute_0_868,plain,
( multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) != multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11)
| double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))),bind(Y,$fot(multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11))),bind(Z,$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_869,plain,
( multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)),multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11)) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(double_divide(X_11,X_10),X_12)),X_11),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_864,refute_0_869]) ).
cnf(refute_0_871,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) != multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))),bind(Y,$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))))),bind(Z,$fot(multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_872,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)),multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) = multiply(X_11,multiply(X_12,double_divide(X_11,X_10))),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,X_10),X_12))),multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) )],[refute_0_863,refute_0_872]) ).
cnf(refute_0_874,plain,
double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))))]]) ).
cnf(refute_0_875,plain,
( double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))) ),[1,1],$fot(multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))]]) ).
cnf(refute_0_876,plain,
( double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)) != multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))
| double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)),multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) )],[refute_0_873,refute_0_876]) ).
cnf(refute_0_878,plain,
multiply(inverse(X_11),multiply(X_75,X_76)) = double_divide(X_11,inverse(multiply(X_75,X_76))),
inference(subst,[],[refute_0_764:[bind(X_51,$fot(multiply(X_75,X_76)))]]) ).
cnf(refute_0_879,plain,
( multiply(inverse(X_11),multiply(X_75,X_76)) != double_divide(X_11,inverse(multiply(X_75,X_76)))
| inverse(multiply(X_75,X_76)) != double_divide(X_75,X_76)
| multiply(inverse(X_11),multiply(X_75,X_76)) = double_divide(X_11,double_divide(X_75,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),multiply(X_75,X_76)),double_divide(X_11,inverse(multiply(X_75,X_76)))) ),[1,1],$fot(double_divide(X_75,X_76))]]) ).
cnf(refute_0_880,plain,
( multiply(inverse(X_11),multiply(X_75,X_76)) != double_divide(X_11,inverse(multiply(X_75,X_76)))
| multiply(inverse(X_11),multiply(X_75,X_76)) = double_divide(X_11,double_divide(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_75,X_76)),double_divide(X_75,X_76)) )],[refute_0_838,refute_0_879]) ).
cnf(refute_0_881,plain,
multiply(inverse(X_11),multiply(X_75,X_76)) = double_divide(X_11,double_divide(X_75,X_76)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_75,X_76)),double_divide(X_11,inverse(multiply(X_75,X_76)))) )],[refute_0_878,refute_0_880]) ).
cnf(refute_0_882,plain,
multiply(inverse(X_63),inverse(double_divide(B,A))) = double_divide(X_63,double_divide(B,A)),
inference(subst,[],[refute_0_834:[bind(X_11,$fot(X_63)),bind(X_61,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_883,plain,
( multiply(inverse(X_63),inverse(double_divide(B,A))) != double_divide(X_63,double_divide(B,A))
| inverse(double_divide(B,A)) != multiply(A,B)
| multiply(inverse(X_63),multiply(A,B)) = double_divide(X_63,double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_63),inverse(double_divide(B,A))),double_divide(X_63,double_divide(B,A))) ),[0,1],$fot(multiply(A,B))]]) ).
cnf(refute_0_884,plain,
( multiply(inverse(X_63),inverse(double_divide(B,A))) != double_divide(X_63,double_divide(B,A))
| multiply(inverse(X_63),multiply(A,B)) = double_divide(X_63,double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(B,A)),multiply(A,B)) )],[refute_0_43,refute_0_883]) ).
cnf(refute_0_885,plain,
multiply(inverse(X_63),multiply(A,B)) = double_divide(X_63,double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_63),inverse(double_divide(B,A))),double_divide(X_63,double_divide(B,A))) )],[refute_0_882,refute_0_884]) ).
cnf(refute_0_886,plain,
multiply(inverse(X_11),multiply(X_75,X_76)) = double_divide(X_11,double_divide(X_76,X_75)),
inference(subst,[],[refute_0_885:[bind(A,$fot(X_75)),bind(B,$fot(X_76)),bind(X_63,$fot(X_11))]]) ).
cnf(refute_0_887,plain,
( multiply(inverse(X_11),multiply(X_75,X_76)) != double_divide(X_11,double_divide(X_75,X_76))
| multiply(inverse(X_11),multiply(X_75,X_76)) != double_divide(X_11,double_divide(X_76,X_75))
| double_divide(X_11,double_divide(X_76,X_75)) = double_divide(X_11,double_divide(X_75,X_76)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),multiply(X_75,X_76)),double_divide(X_11,double_divide(X_75,X_76))) ),[0],$fot(double_divide(X_11,double_divide(X_76,X_75)))]]) ).
cnf(refute_0_888,plain,
( multiply(inverse(X_11),multiply(X_75,X_76)) != double_divide(X_11,double_divide(X_75,X_76))
| double_divide(X_11,double_divide(X_76,X_75)) = double_divide(X_11,double_divide(X_75,X_76)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_75,X_76)),double_divide(X_11,double_divide(X_76,X_75))) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
double_divide(X_11,double_divide(X_76,X_75)) = double_divide(X_11,double_divide(X_75,X_76)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_75,X_76)),double_divide(X_11,double_divide(X_75,X_76))) )],[refute_0_881,refute_0_888]) ).
cnf(refute_0_890,plain,
( double_divide(X_11,double_divide(X_76,X_75)) != double_divide(X_11,double_divide(X_75,X_76))
| double_divide(X_11,double_divide(X_75,X_76)) = double_divide(X_11,double_divide(X_76,X_75)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(double_divide(X_11,double_divide(X_76,X_75)))),bind(Y,$fot(double_divide(X_11,double_divide(X_75,X_76))))]]) ).
cnf(refute_0_891,plain,
double_divide(X_11,double_divide(X_75,X_76)) = double_divide(X_11,double_divide(X_76,X_75)),
inference(resolve,[$cnf( $equal(double_divide(X_11,double_divide(X_76,X_75)),double_divide(X_11,double_divide(X_75,X_76))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),
inference(subst,[],[refute_0_891:[bind(X_11,$fot(X_10)),bind(X_75,$fot(double_divide(double_divide(X_11,X_10),X_12))),bind(X_76,$fot(inverse(X_11)))]]) ).
cnf(refute_0_893,plain,
inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(X_10)),bind(X_14,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))]]) ).
cnf(refute_0_894,plain,
( double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))
| inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Y,$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),bind(Z,$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_895,plain,
( double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_892,refute_0_895]) ).
cnf(refute_0_897,plain,
double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),
inference(subst,[],[refute_0_649:[bind(X_43,$fot(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_898,plain,
( double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))
| inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Y,$fot(inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Z,$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_899,plain,
( inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_896,refute_0_899]) ).
cnf(refute_0_901,plain,
double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),
inference(subst,[],[refute_0_851:[bind(X_11,$fot(identity)),bind(X_75,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),bind(X_76,$fot(X_10))]]) ).
cnf(refute_0_902,plain,
( double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))
| double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))),bind(Y,$fot(double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Z,$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_903,plain,
( double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_900,refute_0_903]) ).
cnf(refute_0_905,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),
inference(subst,[],[refute_0_845:[bind(A,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),bind(B,$fot(X_10)),bind(X_53,$fot(identity))]]) ).
cnf(refute_0_906,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))
| double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Y,$fot(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))),bind(Z,$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))))]]) ).
cnf(refute_0_907,plain,
( double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(identity,multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_904,refute_0_907]) ).
cnf(refute_0_909,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))
| double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) != double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),bind(Y,$fot(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))))),bind(Z,$fot(double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))))]]) ).
cnf(refute_0_910,plain,
( double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))) != double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12)))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(X_11),double_divide(double_divide(X_11,X_10),X_12))),double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) )],[refute_0_877,refute_0_910]) ).
cnf(refute_0_912,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))
| multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != inverse(X_12)
| double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),inverse(X_12)) ),[0],$fot(double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))))]]) ).
cnf(refute_0_913,plain,
( multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != inverse(X_12)
| double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10))))) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
double_divide(X_10,multiply(X_11,multiply(X_12,double_divide(X_11,X_10)))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),inverse(X_12)) )],[refute_0_858,refute_0_913]) ).
cnf(refute_0_915,plain,
double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,double_divide(X_85,double_divide(X_42,X_85))))) = inverse(X_86),
inference(subst,[],[refute_0_914:[bind(X_10,$fot(double_divide(X_42,X_85))),bind(X_11,$fot(X_85)),bind(X_12,$fot(X_86))]]) ).
cnf(refute_0_916,plain,
multiply(inverse(X_11),multiply(X_11,X_42)) = double_divide(X_11,double_divide(X_42,X_11)),
inference(subst,[],[refute_0_885:[bind(A,$fot(X_11)),bind(B,$fot(X_42)),bind(X_63,$fot(X_11))]]) ).
cnf(refute_0_917,plain,
( multiply(inverse(X_11),multiply(X_11,X_42)) != X_42
| multiply(inverse(X_11),multiply(X_11,X_42)) != double_divide(X_11,double_divide(X_42,X_11))
| double_divide(X_11,double_divide(X_42,X_11)) = X_42 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,X_42)),X_42) ),[0],$fot(double_divide(X_11,double_divide(X_42,X_11)))]]) ).
cnf(refute_0_918,plain,
( multiply(inverse(X_11),multiply(X_11,X_42)) != X_42
| double_divide(X_11,double_divide(X_42,X_11)) = X_42 ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,X_42)),double_divide(X_11,double_divide(X_42,X_11))) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
double_divide(X_11,double_divide(X_42,X_11)) = X_42,
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),multiply(X_11,X_42)),X_42) )],[refute_0_596,refute_0_918]) ).
cnf(refute_0_920,plain,
double_divide(X_85,double_divide(X_42,X_85)) = X_42,
inference(subst,[],[refute_0_919:[bind(X_11,$fot(X_85))]]) ).
cnf(refute_0_921,plain,
( double_divide(X_85,double_divide(X_42,X_85)) != X_42
| double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,double_divide(X_85,double_divide(X_42,X_85))))) != inverse(X_86)
| double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,X_42))) = inverse(X_86) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,double_divide(X_85,double_divide(X_42,X_85))))),inverse(X_86)) ),[0,1,1,1],$fot(X_42)]]) ).
cnf(refute_0_922,plain,
( double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,double_divide(X_85,double_divide(X_42,X_85))))) != inverse(X_86)
| double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,X_42))) = inverse(X_86) ),
inference(resolve,[$cnf( $equal(double_divide(X_85,double_divide(X_42,X_85)),X_42) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,X_42))) = inverse(X_86),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_42,X_85),multiply(X_85,multiply(X_86,double_divide(X_85,double_divide(X_42,X_85))))),inverse(X_86)) )],[refute_0_915,refute_0_922]) ).
cnf(refute_0_924,plain,
double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90))) = inverse(X_92),
inference(subst,[],[refute_0_923:[bind(X_42,$fot(X_90)),bind(X_85,$fot(X_91)),bind(X_86,$fot(X_92))]]) ).
cnf(refute_0_925,plain,
( multiply(double_divide(X_90,X_91),double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90)))) != inverse(multiply(X_91,multiply(X_92,X_90)))
| double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90))) != inverse(X_92)
| multiply(double_divide(X_90,X_91),inverse(X_92)) = inverse(multiply(X_91,multiply(X_92,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_90,X_91),double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90)))),inverse(multiply(X_91,multiply(X_92,X_90)))) ),[0,1],$fot(inverse(X_92))]]) ).
cnf(refute_0_926,plain,
( multiply(double_divide(X_90,X_91),double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90)))) != inverse(multiply(X_91,multiply(X_92,X_90)))
| multiply(double_divide(X_90,X_91),inverse(X_92)) = inverse(multiply(X_91,multiply(X_92,X_90))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90))),inverse(X_92)) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
multiply(double_divide(X_90,X_91),inverse(X_92)) = inverse(multiply(X_91,multiply(X_92,X_90))),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_90,X_91),double_divide(double_divide(X_90,X_91),multiply(X_91,multiply(X_92,X_90)))),inverse(multiply(X_91,multiply(X_92,X_90)))) )],[refute_0_853,refute_0_926]) ).
cnf(refute_0_928,plain,
multiply(inverse(multiply(X_75,X_76)),inverse(X_61)) = double_divide(multiply(X_75,X_76),X_61),
inference(subst,[],[refute_0_834:[bind(X_11,$fot(multiply(X_75,X_76)))]]) ).
cnf(refute_0_929,plain,
( multiply(inverse(multiply(X_75,X_76)),inverse(X_61)) != double_divide(multiply(X_75,X_76),X_61)
| inverse(multiply(X_75,X_76)) != double_divide(X_75,X_76)
| multiply(double_divide(X_75,X_76),inverse(X_61)) = double_divide(multiply(X_75,X_76),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_75,X_76)),inverse(X_61)),double_divide(multiply(X_75,X_76),X_61)) ),[0,0],$fot(double_divide(X_75,X_76))]]) ).
cnf(refute_0_930,plain,
( multiply(inverse(multiply(X_75,X_76)),inverse(X_61)) != double_divide(multiply(X_75,X_76),X_61)
| multiply(double_divide(X_75,X_76),inverse(X_61)) = double_divide(multiply(X_75,X_76),X_61) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_75,X_76)),double_divide(X_75,X_76)) )],[refute_0_838,refute_0_929]) ).
cnf(refute_0_931,plain,
multiply(double_divide(X_75,X_76),inverse(X_61)) = double_divide(multiply(X_75,X_76),X_61),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_75,X_76)),inverse(X_61)),double_divide(multiply(X_75,X_76),X_61)) )],[refute_0_928,refute_0_930]) ).
cnf(refute_0_932,plain,
multiply(double_divide(X_90,X_91),inverse(X_92)) = double_divide(multiply(X_90,X_91),X_92),
inference(subst,[],[refute_0_931:[bind(X_61,$fot(X_92)),bind(X_75,$fot(X_90)),bind(X_76,$fot(X_91))]]) ).
cnf(refute_0_933,plain,
( multiply(double_divide(X_90,X_91),inverse(X_92)) != double_divide(multiply(X_90,X_91),X_92)
| multiply(double_divide(X_90,X_91),inverse(X_92)) != inverse(multiply(X_91,multiply(X_92,X_90)))
| double_divide(multiply(X_90,X_91),X_92) = inverse(multiply(X_91,multiply(X_92,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_90,X_91),inverse(X_92)),inverse(multiply(X_91,multiply(X_92,X_90)))) ),[0],$fot(double_divide(multiply(X_90,X_91),X_92))]]) ).
cnf(refute_0_934,plain,
( multiply(double_divide(X_90,X_91),inverse(X_92)) != inverse(multiply(X_91,multiply(X_92,X_90)))
| double_divide(multiply(X_90,X_91),X_92) = inverse(multiply(X_91,multiply(X_92,X_90))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_90,X_91),inverse(X_92)),double_divide(multiply(X_90,X_91),X_92)) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
inverse(multiply(X_91,multiply(X_92,X_90))) = double_divide(X_91,multiply(X_92,X_90)),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(X_91)),bind(X_14,$fot(multiply(X_92,X_90)))]]) ).
cnf(refute_0_936,plain,
( double_divide(multiply(X_90,X_91),X_92) != inverse(multiply(X_91,multiply(X_92,X_90)))
| inverse(multiply(X_91,multiply(X_92,X_90))) != double_divide(X_91,multiply(X_92,X_90))
| double_divide(multiply(X_90,X_91),X_92) = double_divide(X_91,multiply(X_92,X_90)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(multiply(X_90,X_91),X_92),double_divide(X_91,multiply(X_92,X_90))) ),[0],$fot(inverse(multiply(X_91,multiply(X_92,X_90))))]]) ).
cnf(refute_0_937,plain,
( double_divide(multiply(X_90,X_91),X_92) != inverse(multiply(X_91,multiply(X_92,X_90)))
| double_divide(multiply(X_90,X_91),X_92) = double_divide(X_91,multiply(X_92,X_90)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_91,multiply(X_92,X_90))),double_divide(X_91,multiply(X_92,X_90))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
( multiply(double_divide(X_90,X_91),inverse(X_92)) != inverse(multiply(X_91,multiply(X_92,X_90)))
| double_divide(multiply(X_90,X_91),X_92) = double_divide(X_91,multiply(X_92,X_90)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_90,X_91),X_92),inverse(multiply(X_91,multiply(X_92,X_90)))) )],[refute_0_934,refute_0_937]) ).
cnf(refute_0_939,plain,
double_divide(multiply(X_90,X_91),X_92) = double_divide(X_91,multiply(X_92,X_90)),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_90,X_91),inverse(X_92)),inverse(multiply(X_91,multiply(X_92,X_90)))) )],[refute_0_927,refute_0_938]) ).
cnf(refute_0_940,plain,
double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)) = double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A)),
inference(subst,[],[refute_0_939:[bind(X_90,$fot(A)),bind(X_91,$fot(B)),bind(X_92,$fot(double_divide(double_divide(double_divide(B,A),X_10),X_12)))]]) ).
cnf(refute_0_941,plain,
( double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A)) != double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))
| double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)) != double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A))
| double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)) = double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)))),bind(Y,$fot(double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A)))),bind(Z,$fot(double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))))]]) ).
cnf(refute_0_942,plain,
( double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A)) != double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))
| double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)) = double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)),double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)) = double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12))),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(double_divide(double_divide(double_divide(B,A),X_10),X_12),A)),double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))) )],[refute_0_852,refute_0_942]) ).
cnf(refute_0_944,plain,
multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) = multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))),
introduced(tautology,[refl,[$fot(multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))))]]) ).
cnf(refute_0_945,plain,
( multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) != multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)))
| double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)) != double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))
| multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) = multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))),multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)))) ),[1,1],$fot(double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12))))]]) ).
cnf(refute_0_946,plain,
( double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)) != double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))
| multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) = multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))),multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)))) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) = multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))),
inference(resolve,[$cnf( $equal(double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12)),double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))) )],[refute_0_943,refute_0_946]) ).
cnf(refute_0_948,plain,
( multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) != X_12
| multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) != multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12))))
| multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))),X_12) ),[0],$fot(multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))))]]) ).
cnf(refute_0_949,plain,
( multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))) != X_12
| multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))),multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12))))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
multiply(X_10,double_divide(B,multiply(A,double_divide(double_divide(double_divide(B,A),X_10),X_12)))) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_10,double_divide(multiply(A,B),double_divide(double_divide(double_divide(B,A),X_10),X_12))),X_12) )],[refute_0_666,refute_0_949]) ).
cnf(refute_0_951,plain,
multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(double_divide(inverse(B),X_119),X_121),X_122)))) = X_122,
inference(subst,[],[refute_0_950:[bind(A,$fot(X_119)),bind(B,$fot(inverse(B))),bind(X_10,$fot(X_121)),bind(X_12,$fot(X_122))]]) ).
cnf(refute_0_952,plain,
multiply(inverse(X_119),B) = double_divide(inverse(B),X_119),
inference(subst,[],[refute_0_799:[bind(X_54,$fot(X_119))]]) ).
cnf(refute_0_953,plain,
( multiply(inverse(X_119),B) != double_divide(inverse(B),X_119)
| double_divide(inverse(B),X_119) = multiply(inverse(X_119),B) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(inverse(X_119),B))),bind(Y,$fot(double_divide(inverse(B),X_119)))]]) ).
cnf(refute_0_954,plain,
double_divide(inverse(B),X_119) = multiply(inverse(X_119),B),
inference(resolve,[$cnf( $equal(multiply(inverse(X_119),B),double_divide(inverse(B),X_119)) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
( multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(double_divide(inverse(B),X_119),X_121),X_122)))) != X_122
| double_divide(inverse(B),X_119) != multiply(inverse(X_119),B)
| multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = X_122 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(double_divide(inverse(B),X_119),X_121),X_122)))),X_122) ),[0,1,1,1,0,0],$fot(multiply(inverse(X_119),B))]]) ).
cnf(refute_0_956,plain,
( multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(double_divide(inverse(B),X_119),X_121),X_122)))) != X_122
| multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = X_122 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),X_119),multiply(inverse(X_119),B)) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = X_122,
inference(resolve,[$cnf( $equal(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(double_divide(inverse(B),X_119),X_121),X_122)))),X_122) )],[refute_0_951,refute_0_956]) ).
cnf(refute_0_958,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = C,
inference(subst,[],[refute_0_30:[bind(A,$fot(inverse(identity))),bind(B,$fot(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_959,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),C) ),[0,0,1,0,0],$fot(X_12)]]) ).
cnf(refute_0_960,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_855,refute_0_959]) ).
cnf(refute_0_961,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))),inverse(identity)),C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),C) )],[refute_0_958,refute_0_960]) ).
cnf(refute_0_962,plain,
inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) = multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_963,plain,
double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))))]]) ).
cnf(refute_0_964,plain,
( double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) != double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))
| inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)
| double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) ),[1,1],$fot(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))]]) ).
cnf(refute_0_965,plain,
( inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))) != multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)
| double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) = double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) )],[refute_0_962,refute_0_965]) ).
cnf(refute_0_967,plain,
double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) = double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))))]]) ).
cnf(refute_0_968,plain,
( double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) != double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) != double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) = double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))))) ),[1,1],$fot(double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))]]) ).
cnf(refute_0_969,plain,
( double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))) != double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) = double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) = double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11))))),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) )],[refute_0_966,refute_0_969]) ).
cnf(refute_0_971,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)))]]) ).
cnf(refute_0_972,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) != double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity))) ),[1,0],$fot(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))))]]) ).
cnf(refute_0_973,plain,
( double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))) != double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity))) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))) )],[refute_0_970,refute_0_973]) ).
cnf(refute_0_975,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),C) ),[0],$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)))]]) ).
cnf(refute_0_976,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),inverse(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)))))),inverse(identity)),C) )],[refute_0_961,refute_0_976]) ).
cnf(refute_0_978,plain,
inverse(double_divide(double_divide(X_12,C),X_12)) = multiply(X_12,double_divide(X_12,C)),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_12)),bind(B,$fot(double_divide(X_12,C)))]]) ).
cnf(refute_0_979,plain,
inverse(inverse(double_divide(double_divide(X_12,C),X_12))) = inverse(inverse(double_divide(double_divide(X_12,C),X_12))),
introduced(tautology,[refl,[$fot(inverse(inverse(double_divide(double_divide(X_12,C),X_12))))]]) ).
cnf(refute_0_980,plain,
( inverse(double_divide(double_divide(X_12,C),X_12)) != multiply(X_12,double_divide(X_12,C))
| inverse(inverse(double_divide(double_divide(X_12,C),X_12))) != inverse(inverse(double_divide(double_divide(X_12,C),X_12)))
| inverse(inverse(double_divide(double_divide(X_12,C),X_12))) = inverse(multiply(X_12,double_divide(X_12,C))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_12,C),X_12))),inverse(inverse(double_divide(double_divide(X_12,C),X_12)))) ),[1,0],$fot(multiply(X_12,double_divide(X_12,C)))]]) ).
cnf(refute_0_981,plain,
( inverse(double_divide(double_divide(X_12,C),X_12)) != multiply(X_12,double_divide(X_12,C))
| inverse(inverse(double_divide(double_divide(X_12,C),X_12))) = inverse(multiply(X_12,double_divide(X_12,C))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_12,C),X_12))),inverse(inverse(double_divide(double_divide(X_12,C),X_12)))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
inverse(inverse(double_divide(double_divide(X_12,C),X_12))) = inverse(multiply(X_12,double_divide(X_12,C))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_12,C),X_12)),multiply(X_12,double_divide(X_12,C))) )],[refute_0_978,refute_0_981]) ).
cnf(refute_0_983,plain,
multiply(double_divide(double_divide(X_12,C),X_12),identity) = inverse(inverse(double_divide(double_divide(X_12,C),X_12))),
inference(subst,[],[refute_0_305:[bind(X_10,$fot(double_divide(double_divide(X_12,C),X_12)))]]) ).
cnf(refute_0_984,plain,
inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) = multiply(double_divide(double_divide(X_12,C),X_12),identity),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(double_divide(X_12,C),X_12))),bind(B,$fot(identity))]]) ).
cnf(refute_0_985,plain,
( multiply(double_divide(double_divide(X_12,C),X_12),identity) != inverse(inverse(double_divide(double_divide(X_12,C),X_12)))
| inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) != multiply(double_divide(double_divide(X_12,C),X_12),identity)
| inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) = inverse(inverse(double_divide(double_divide(X_12,C),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))))),bind(Y,$fot(multiply(double_divide(double_divide(X_12,C),X_12),identity))),bind(Z,$fot(inverse(inverse(double_divide(double_divide(X_12,C),X_12)))))]]) ).
cnf(refute_0_986,plain,
( multiply(double_divide(double_divide(X_12,C),X_12),identity) != inverse(inverse(double_divide(double_divide(X_12,C),X_12)))
| inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) = inverse(inverse(double_divide(double_divide(X_12,C),X_12))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))),multiply(double_divide(double_divide(X_12,C),X_12),identity)) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) = inverse(inverse(double_divide(double_divide(X_12,C),X_12))),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(X_12,C),X_12),identity),inverse(inverse(double_divide(double_divide(X_12,C),X_12)))) )],[refute_0_983,refute_0_986]) ).
cnf(refute_0_988,plain,
( inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) != inverse(inverse(double_divide(double_divide(X_12,C),X_12)))
| inverse(inverse(double_divide(double_divide(X_12,C),X_12))) != inverse(multiply(X_12,double_divide(X_12,C)))
| inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) = inverse(multiply(X_12,double_divide(X_12,C))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))))),bind(Y,$fot(inverse(inverse(double_divide(double_divide(X_12,C),X_12))))),bind(Z,$fot(inverse(multiply(X_12,double_divide(X_12,C)))))]]) ).
cnf(refute_0_989,plain,
( inverse(inverse(double_divide(double_divide(X_12,C),X_12))) != inverse(multiply(X_12,double_divide(X_12,C)))
| inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) = inverse(multiply(X_12,double_divide(X_12,C))) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))),inverse(inverse(double_divide(double_divide(X_12,C),X_12)))) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) = inverse(multiply(X_12,double_divide(X_12,C))),
inference(resolve,[$cnf( $equal(inverse(inverse(double_divide(double_divide(X_12,C),X_12))),inverse(multiply(X_12,double_divide(X_12,C)))) )],[refute_0_982,refute_0_989]) ).
cnf(refute_0_991,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) = inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(identity,double_divide(double_divide(X_12,C),X_12))))]]) ).
cnf(refute_0_992,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) != inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12)))
| inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) != inverse(multiply(X_12,double_divide(X_12,C)))
| double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) = inverse(multiply(X_12,double_divide(X_12,C))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity))),bind(Y,$fot(inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))))),bind(Z,$fot(inverse(multiply(X_12,double_divide(X_12,C)))))]]) ).
cnf(refute_0_993,plain,
( inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))) != inverse(multiply(X_12,double_divide(X_12,C)))
| double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) = inverse(multiply(X_12,double_divide(X_12,C))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity),inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12)))) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) = inverse(multiply(X_12,double_divide(X_12,C))),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(double_divide(X_12,C),X_12))),inverse(multiply(X_12,double_divide(X_12,C)))) )],[refute_0_990,refute_0_993]) ).
cnf(refute_0_995,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)))]]) ).
cnf(refute_0_996,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_997,plain,
( inverse(identity) != identity
| double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_997]) ).
cnf(refute_0_999,plain,
inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))) = multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(double_divide(double_divide(B,A),C),inverse(B)))),bind(B,$fot(A))]]) ).
cnf(refute_0_1000,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) = inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))))]]) ).
cnf(refute_0_1001,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) != inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))))
| inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))) != multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) = multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity))),bind(Y,$fot(inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))))),bind(Z,$fot(multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)))]]) ).
cnf(refute_0_1002,plain,
( inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))) != multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) = multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity),inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) = multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A),
inference(resolve,[$cnf( $equal(inverse(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B)))),multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)) )],[refute_0_999,refute_0_1002]) ).
cnf(refute_0_1004,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)))]]) ).
cnf(refute_0_1005,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1006,plain,
( inverse(identity) != identity
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) != multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) != double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity)
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity))),bind(Z,$fot(multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)))]]) ).
cnf(refute_0_1009,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity) != multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity)) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) = multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),identity),multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)) )],[refute_0_1003,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) != C
| double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) != multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)
| multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),C) ),[0],$fot(multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A))]]) ).
cnf(refute_0_1012,plain,
( double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)) != C
| multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A)) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
multiply(double_divide(double_divide(double_divide(B,A),C),inverse(B)),A) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(double_divide(B,A),C),inverse(B))),inverse(identity)),C) )],[refute_0_30,refute_0_1012]) ).
cnf(refute_0_1014,plain,
multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10) = X_12,
inference(subst,[],[refute_0_1013:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_1015,plain,
double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))]]) ).
cnf(refute_0_1016,plain,
( multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10) != X_12
| double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))
| double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(double_divide(X_12,C),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_1017,plain,
( multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10) != X_12
| double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(double_divide(X_12,C),X_12) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) = double_divide(double_divide(X_12,C),X_12),
inference(resolve,[$cnf( $equal(multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10),X_12) )],[refute_0_1014,refute_0_1017]) ).
cnf(refute_0_1019,plain,
double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),
introduced(tautology,[refl,[$fot(double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))))]]) ).
cnf(refute_0_1020,plain,
( double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(double_divide(X_12,C),X_12)
| double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) != double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))
| double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))) ),[1,1],$fot(double_divide(double_divide(X_12,C),X_12))]]) ).
cnf(refute_0_1021,plain,
( double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)) != double_divide(double_divide(X_12,C),X_12)
| double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),X_12)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)),double_divide(double_divide(X_12,C),X_12)) )],[refute_0_1018,refute_0_1021]) ).
cnf(refute_0_1023,plain,
double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),
introduced(tautology,[refl,[$fot(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))))]]) ).
cnf(refute_0_1024,plain,
( double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) != double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))
| inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_1025,plain,
( inverse(identity) != identity
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_1025]) ).
cnf(refute_0_1027,plain,
( double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) != double_divide(identity,double_divide(double_divide(X_12,C),X_12))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) != double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),X_12)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))))),bind(Y,$fot(double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))))),bind(Z,$fot(double_divide(identity,double_divide(double_divide(X_12,C),X_12))))]]) ).
cnf(refute_0_1028,plain,
( double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) != double_divide(identity,double_divide(double_divide(X_12,C),X_12))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10)))) )],[refute_0_1026,refute_0_1027]) ).
cnf(refute_0_1029,plain,
double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) = double_divide(identity,double_divide(double_divide(X_12,C),X_12)),
inference(resolve,[$cnf( $equal(double_divide(identity,double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),double_divide(identity,double_divide(double_divide(X_12,C),X_12))) )],[refute_0_1022,refute_0_1028]) ).
cnf(refute_0_1030,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)))]]) ).
cnf(refute_0_1031,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) != double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity))
| double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) != double_divide(identity,double_divide(double_divide(X_12,C),X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity))) ),[1,0],$fot(double_divide(identity,double_divide(double_divide(X_12,C),X_12)))]]) ).
cnf(refute_0_1032,plain,
( double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))) != double_divide(identity,double_divide(double_divide(X_12,C),X_12))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),double_divide(identity,double_divide(double_divide(X_12,C),X_12))) )],[refute_0_1029,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)))),bind(Z,$fot(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity)))]]) ).
cnf(refute_0_1035,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity)) )],[refute_0_998,refute_0_1035]) ).
cnf(refute_0_1037,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) != inverse(multiply(X_12,double_divide(X_12,C)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) != double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity)
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = inverse(multiply(X_12,double_divide(X_12,C))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity))),bind(Z,$fot(inverse(multiply(X_12,double_divide(X_12,C)))))]]) ).
cnf(refute_0_1038,plain,
( double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity) != inverse(multiply(X_12,double_divide(X_12,C)))
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = inverse(multiply(X_12,double_divide(X_12,C))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity)) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) = inverse(multiply(X_12,double_divide(X_12,C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(X_12,C),X_12)),identity),inverse(multiply(X_12,double_divide(X_12,C)))) )],[refute_0_994,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) != C
| double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) != inverse(multiply(X_12,double_divide(X_12,C)))
| inverse(multiply(X_12,double_divide(X_12,C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),C) ),[0],$fot(inverse(multiply(X_12,double_divide(X_12,C))))]]) ).
cnf(refute_0_1041,plain,
( double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)) != C
| inverse(multiply(X_12,double_divide(X_12,C))) = C ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),inverse(multiply(X_12,double_divide(X_12,C)))) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
inverse(multiply(X_12,double_divide(X_12,C))) = C,
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(identity),double_divide(double_divide(X_12,C),multiply(double_divide(double_divide(double_divide(X_11,X_10),X_12),inverse(X_11)),X_10))),inverse(identity)),C) )],[refute_0_977,refute_0_1041]) ).
cnf(refute_0_1043,plain,
inverse(multiply(X_12,double_divide(X_12,C))) = double_divide(X_12,double_divide(X_12,C)),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(X_12)),bind(X_14,$fot(double_divide(X_12,C)))]]) ).
cnf(refute_0_1044,plain,
( inverse(multiply(X_12,double_divide(X_12,C))) != C
| inverse(multiply(X_12,double_divide(X_12,C))) != double_divide(X_12,double_divide(X_12,C))
| double_divide(X_12,double_divide(X_12,C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_12,double_divide(X_12,C))),C) ),[0],$fot(double_divide(X_12,double_divide(X_12,C)))]]) ).
cnf(refute_0_1045,plain,
( inverse(multiply(X_12,double_divide(X_12,C))) != C
| double_divide(X_12,double_divide(X_12,C)) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_12,double_divide(X_12,C))),double_divide(X_12,double_divide(X_12,C))) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
double_divide(X_12,double_divide(X_12,C)) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(X_12,double_divide(X_12,C))),C) )],[refute_0_1042,refute_0_1045]) ).
cnf(refute_0_1047,plain,
double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))) = multiply(X_122,double_divide(X_121,B)),
inference(subst,[],[refute_0_1046:[bind(C,$fot(multiply(X_122,double_divide(X_121,B)))),bind(X_12,$fot(X_119))]]) ).
cnf(refute_0_1048,plain,
double_divide(multiply(double_divide(X_121,B),X_119),X_122) = double_divide(X_119,multiply(X_122,double_divide(X_121,B))),
inference(subst,[],[refute_0_939:[bind(X_90,$fot(double_divide(X_121,B))),bind(X_91,$fot(X_119)),bind(X_92,$fot(X_122))]]) ).
cnf(refute_0_1049,plain,
double_divide(X_84,multiply(X_85,multiply(X_86,double_divide(X_85,X_84)))) = inverse(X_86),
inference(subst,[],[refute_0_914:[bind(X_10,$fot(X_84)),bind(X_11,$fot(X_85)),bind(X_12,$fot(X_86))]]) ).
cnf(refute_0_1050,plain,
multiply(double_divide(X_85,X_84),X_86) = multiply(X_86,double_divide(X_85,X_84)),
inference(subst,[],[refute_0_773:[bind(X_48,$fot(X_86)),bind(X_50,$fot(double_divide(X_85,X_84)))]]) ).
cnf(refute_0_1051,plain,
( multiply(double_divide(X_85,X_84),X_86) != multiply(X_86,double_divide(X_85,X_84))
| multiply(X_86,double_divide(X_85,X_84)) = multiply(double_divide(X_85,X_84),X_86) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(double_divide(X_85,X_84),X_86))),bind(Y,$fot(multiply(X_86,double_divide(X_85,X_84))))]]) ).
cnf(refute_0_1052,plain,
multiply(X_86,double_divide(X_85,X_84)) = multiply(double_divide(X_85,X_84),X_86),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_85,X_84),X_86),multiply(X_86,double_divide(X_85,X_84))) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
( multiply(X_86,double_divide(X_85,X_84)) != multiply(double_divide(X_85,X_84),X_86)
| double_divide(X_84,multiply(X_85,multiply(X_86,double_divide(X_85,X_84)))) != inverse(X_86)
| double_divide(X_84,multiply(X_85,multiply(double_divide(X_85,X_84),X_86))) = inverse(X_86) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_84,multiply(X_85,multiply(X_86,double_divide(X_85,X_84)))),inverse(X_86)) ),[0,1,1],$fot(multiply(double_divide(X_85,X_84),X_86))]]) ).
cnf(refute_0_1054,plain,
( double_divide(X_84,multiply(X_85,multiply(X_86,double_divide(X_85,X_84)))) != inverse(X_86)
| double_divide(X_84,multiply(X_85,multiply(double_divide(X_85,X_84),X_86))) = inverse(X_86) ),
inference(resolve,[$cnf( $equal(multiply(X_86,double_divide(X_85,X_84)),multiply(double_divide(X_85,X_84),X_86)) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
double_divide(X_84,multiply(X_85,multiply(double_divide(X_85,X_84),X_86))) = inverse(X_86),
inference(resolve,[$cnf( $equal(double_divide(X_84,multiply(X_85,multiply(X_86,double_divide(X_85,X_84)))),inverse(X_86)) )],[refute_0_1049,refute_0_1054]) ).
cnf(refute_0_1056,plain,
double_divide(X_96,multiply(X_97,multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))))) = inverse(double_divide(X_43,double_divide(X_97,X_96))),
inference(subst,[],[refute_0_1055:[bind(X_84,$fot(X_96)),bind(X_85,$fot(X_97)),bind(X_86,$fot(double_divide(X_43,double_divide(X_97,X_96))))]]) ).
cnf(refute_0_1057,plain,
multiply(inverse(X_43),multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11)))) = double_divide(multiply(X_43,X_11),inverse(X_11)),
inference(subst,[],[refute_0_596:[bind(X_11,$fot(X_43)),bind(X_42,$fot(double_divide(multiply(X_43,X_11),inverse(X_11))))]]) ).
cnf(refute_0_1058,plain,
double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)) = identity,
inference(subst,[],[refute_0_30:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).
cnf(refute_0_1059,plain,
inverse(double_divide(X_11,X_10)) = double_divide(double_divide(X_11,X_10),identity),
inference(subst,[],[inverse:[bind(A,$fot(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_1060,plain,
( inverse(double_divide(X_11,X_10)) != double_divide(double_divide(X_11,X_10),identity)
| double_divide(double_divide(X_11,X_10),identity) = inverse(double_divide(X_11,X_10)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(double_divide(X_11,X_10)))),bind(Y,$fot(double_divide(double_divide(X_11,X_10),identity)))]]) ).
cnf(refute_0_1061,plain,
double_divide(double_divide(X_11,X_10),identity) = inverse(double_divide(X_11,X_10)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_10)),double_divide(double_divide(X_11,X_10),identity)) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_11,X_10),identity) != inverse(double_divide(X_11,X_10))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)),identity) ),[0,0,1,0],$fot(inverse(double_divide(X_11,X_10)))]]) ).
cnf(refute_0_1063,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_11,X_10),identity),inverse(double_divide(X_11,X_10))) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(double_divide(X_11,X_10),identity),inverse(X_11))),inverse(identity)),identity) )],[refute_0_1058,refute_0_1063]) ).
cnf(refute_0_1065,plain,
double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),
introduced(tautology,[refl,[$fot(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))]]) ).
cnf(refute_0_1066,plain,
( double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) != double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))
| inverse(double_divide(X_11,X_10)) != multiply(X_10,X_11)
| double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(multiply(X_10,X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) ),[1,0],$fot(multiply(X_10,X_11))]]) ).
cnf(refute_0_1067,plain,
( inverse(double_divide(X_11,X_10)) != multiply(X_10,X_11)
| double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(multiply(X_10,X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) = double_divide(multiply(X_10,X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_11,X_10)),multiply(X_10,X_11)) )],[refute_0_44,refute_0_1067]) ).
cnf(refute_0_1069,plain,
double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),
introduced(tautology,[refl,[$fot(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))))]]) ).
cnf(refute_0_1070,plain,
( double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) != double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))
| double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) != double_divide(multiply(X_10,X_11),inverse(X_11))
| double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))) ),[1,1],$fot(double_divide(multiply(X_10,X_11),inverse(X_11)))]]) ).
cnf(refute_0_1071,plain,
( double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)) != double_divide(multiply(X_10,X_11),inverse(X_11))
| double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)))) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) = double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),
inference(resolve,[$cnf( $equal(double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11)),double_divide(multiply(X_10,X_11),inverse(X_11))) )],[refute_0_1068,refute_0_1071]) ).
cnf(refute_0_1073,plain,
double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_1074,plain,
( double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) != double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity))) ),[1,0],$fot(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))))]]) ).
cnf(refute_0_1075,plain,
( double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))) != double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity))) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))) )],[refute_0_1072,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity))
| double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),identity) ),[0],$fot(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_1078,plain,
( double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)) != identity
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity))) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(inverse(double_divide(X_11,X_10)),inverse(X_11))),inverse(identity)),identity) )],[refute_0_1064,refute_0_1078]) ).
cnf(refute_0_1080,plain,
inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))) = multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(multiply(X_10,X_11),inverse(X_11)))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_1081,plain,
double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) = inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))))]]) ).
cnf(refute_0_1082,plain,
( double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) != inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))))
| inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))) != multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) = multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity))),bind(Y,$fot(inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))))),bind(Z,$fot(multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)))]]) ).
cnf(refute_0_1083,plain,
( inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))) != multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) = multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity),inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) = multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))),multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)) )],[refute_0_1080,refute_0_1083]) ).
cnf(refute_0_1085,plain,
double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)))]]) ).
cnf(refute_0_1086,plain,
( double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1087,plain,
( inverse(identity) != identity
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) != multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) != double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity)
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity))),bind(Z,$fot(multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)))]]) ).
cnf(refute_0_1090,plain,
( double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity) != multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity)) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) = multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),identity),multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)) )],[refute_0_1084,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) != multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)
| double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) != identity
| multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) = identity ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),identity) ),[0],$fot(multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10))]]) ).
cnf(refute_0_1093,plain,
( double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)) != identity
| multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) = identity ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10)) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),inverse(identity)),identity) )],[refute_0_1079,refute_0_1093]) ).
cnf(refute_0_1095,plain,
multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) = multiply(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))),
inference(subst,[],[refute_0_448:[bind(X_10,$fot(double_divide(multiply(X_10,X_11),inverse(X_11)))),bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_1096,plain,
( multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) != multiply(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))
| multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) != identity
| multiply(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10),identity) ),[0],$fot(multiply(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))))]]) ).
cnf(refute_0_1097,plain,
( multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10) != identity
| multiply(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10),multiply(X_10,double_divide(multiply(X_10,X_11),inverse(X_11)))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
multiply(X_10,double_divide(multiply(X_10,X_11),inverse(X_11))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(multiply(X_10,X_11),inverse(X_11)),X_10),identity) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11))) = identity,
inference(subst,[],[refute_0_1098:[bind(X_10,$fot(X_43))]]) ).
cnf(refute_0_1100,plain,
( multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11))) != identity
| multiply(inverse(X_43),multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11)))) != double_divide(multiply(X_43,X_11),inverse(X_11))
| multiply(inverse(X_43),identity) = double_divide(multiply(X_43,X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_43),multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11)))),double_divide(multiply(X_43,X_11),inverse(X_11))) ),[0,1],$fot(identity)]]) ).
cnf(refute_0_1101,plain,
( multiply(inverse(X_43),multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11)))) != double_divide(multiply(X_43,X_11),inverse(X_11))
| multiply(inverse(X_43),identity) = double_divide(multiply(X_43,X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11))),identity) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
multiply(inverse(X_43),identity) = double_divide(multiply(X_43,X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_43),multiply(X_43,double_divide(multiply(X_43,X_11),inverse(X_11)))),double_divide(multiply(X_43,X_11),inverse(X_11))) )],[refute_0_1057,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( multiply(inverse(X_43),identity) != double_divide(multiply(X_43,X_11),inverse(X_11))
| multiply(inverse(X_43),identity) != inverse(X_43)
| inverse(X_43) = double_divide(multiply(X_43,X_11),inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_43),identity),double_divide(multiply(X_43,X_11),inverse(X_11))) ),[0],$fot(inverse(X_43))]]) ).
cnf(refute_0_1104,plain,
( multiply(inverse(X_43),identity) != double_divide(multiply(X_43,X_11),inverse(X_11))
| inverse(X_43) = double_divide(multiply(X_43,X_11),inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_43),identity),inverse(X_43)) )],[refute_0_644,refute_0_1103]) ).
cnf(refute_0_1105,plain,
inverse(X_43) = double_divide(multiply(X_43,X_11),inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_43),identity),double_divide(multiply(X_43,X_11),inverse(X_11))) )],[refute_0_1102,refute_0_1104]) ).
cnf(refute_0_1106,plain,
double_divide(multiply(X_43,X_11),inverse(X_11)) = double_divide(inverse(X_11),multiply(X_43,X_11)),
inference(subst,[],[refute_0_658:[bind(A,$fot(multiply(X_43,X_11))),bind(B,$fot(inverse(X_11)))]]) ).
cnf(refute_0_1107,plain,
( double_divide(multiply(X_43,X_11),inverse(X_11)) != double_divide(inverse(X_11),multiply(X_43,X_11))
| inverse(X_43) != double_divide(multiply(X_43,X_11),inverse(X_11))
| inverse(X_43) = double_divide(inverse(X_11),multiply(X_43,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_43),double_divide(multiply(X_43,X_11),inverse(X_11))) ),[1],$fot(double_divide(inverse(X_11),multiply(X_43,X_11)))]]) ).
cnf(refute_0_1108,plain,
( inverse(X_43) != double_divide(multiply(X_43,X_11),inverse(X_11))
| inverse(X_43) = double_divide(inverse(X_11),multiply(X_43,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_43,X_11),inverse(X_11)),double_divide(inverse(X_11),multiply(X_43,X_11))) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
inverse(X_43) = double_divide(inverse(X_11),multiply(X_43,X_11)),
inference(resolve,[$cnf( $equal(inverse(X_43),double_divide(multiply(X_43,X_11),inverse(X_11))) )],[refute_0_1105,refute_0_1108]) ).
cnf(refute_0_1110,plain,
inverse(multiply(X_43,X_11)) = double_divide(X_43,X_11),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(X_43)),bind(X_14,$fot(X_11))]]) ).
cnf(refute_0_1111,plain,
multiply(X_11,inverse(multiply(X_43,X_11))) = multiply(X_11,inverse(multiply(X_43,X_11))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(multiply(X_43,X_11))))]]) ).
cnf(refute_0_1112,plain,
( multiply(X_11,inverse(multiply(X_43,X_11))) != multiply(X_11,inverse(multiply(X_43,X_11)))
| inverse(multiply(X_43,X_11)) != double_divide(X_43,X_11)
| multiply(X_11,inverse(multiply(X_43,X_11))) = multiply(X_11,double_divide(X_43,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(multiply(X_43,X_11))),multiply(X_11,inverse(multiply(X_43,X_11)))) ),[1,1],$fot(double_divide(X_43,X_11))]]) ).
cnf(refute_0_1113,plain,
( inverse(multiply(X_43,X_11)) != double_divide(X_43,X_11)
| multiply(X_11,inverse(multiply(X_43,X_11))) = multiply(X_11,double_divide(X_43,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(multiply(X_43,X_11))),multiply(X_11,inverse(multiply(X_43,X_11)))) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
multiply(X_11,inverse(multiply(X_43,X_11))) = multiply(X_11,double_divide(X_43,X_11)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_43,X_11)),double_divide(X_43,X_11)) )],[refute_0_1110,refute_0_1113]) ).
cnf(refute_0_1115,plain,
( multiply(X_50,X_48) != multiply(X_48,X_50)
| multiply(X_48,X_50) = multiply(X_50,X_48) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_50,X_48))),bind(Y,$fot(multiply(X_48,X_50)))]]) ).
cnf(refute_0_1116,plain,
multiply(X_48,X_50) = multiply(X_50,X_48),
inference(resolve,[$cnf( $equal(multiply(X_50,X_48),multiply(X_48,X_50)) )],[refute_0_773,refute_0_1115]) ).
cnf(refute_0_1117,plain,
multiply(inverse(multiply(X_43,X_11)),X_11) = multiply(X_11,inverse(multiply(X_43,X_11))),
inference(subst,[],[refute_0_1116:[bind(X_48,$fot(inverse(multiply(X_43,X_11)))),bind(X_50,$fot(X_11))]]) ).
cnf(refute_0_1118,plain,
double_divide(inverse(X_11),multiply(X_43,X_11)) = multiply(inverse(multiply(X_43,X_11)),X_11),
inference(subst,[],[refute_0_866:[bind(B,$fot(X_11)),bind(X_54,$fot(multiply(X_43,X_11)))]]) ).
cnf(refute_0_1119,plain,
( multiply(inverse(multiply(X_43,X_11)),X_11) != multiply(X_11,inverse(multiply(X_43,X_11)))
| double_divide(inverse(X_11),multiply(X_43,X_11)) != multiply(inverse(multiply(X_43,X_11)),X_11)
| double_divide(inverse(X_11),multiply(X_43,X_11)) = multiply(X_11,inverse(multiply(X_43,X_11))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_11),multiply(X_43,X_11)))),bind(Y,$fot(multiply(inverse(multiply(X_43,X_11)),X_11))),bind(Z,$fot(multiply(X_11,inverse(multiply(X_43,X_11)))))]]) ).
cnf(refute_0_1120,plain,
( multiply(inverse(multiply(X_43,X_11)),X_11) != multiply(X_11,inverse(multiply(X_43,X_11)))
| double_divide(inverse(X_11),multiply(X_43,X_11)) = multiply(X_11,inverse(multiply(X_43,X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),multiply(X_43,X_11)),multiply(inverse(multiply(X_43,X_11)),X_11)) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
double_divide(inverse(X_11),multiply(X_43,X_11)) = multiply(X_11,inverse(multiply(X_43,X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_43,X_11)),X_11),multiply(X_11,inverse(multiply(X_43,X_11)))) )],[refute_0_1117,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( multiply(X_11,inverse(multiply(X_43,X_11))) != multiply(X_11,double_divide(X_43,X_11))
| double_divide(inverse(X_11),multiply(X_43,X_11)) != multiply(X_11,inverse(multiply(X_43,X_11)))
| double_divide(inverse(X_11),multiply(X_43,X_11)) = multiply(X_11,double_divide(X_43,X_11)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_11),multiply(X_43,X_11)))),bind(Y,$fot(multiply(X_11,inverse(multiply(X_43,X_11))))),bind(Z,$fot(multiply(X_11,double_divide(X_43,X_11))))]]) ).
cnf(refute_0_1123,plain,
( multiply(X_11,inverse(multiply(X_43,X_11))) != multiply(X_11,double_divide(X_43,X_11))
| double_divide(inverse(X_11),multiply(X_43,X_11)) = multiply(X_11,double_divide(X_43,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),multiply(X_43,X_11)),multiply(X_11,inverse(multiply(X_43,X_11)))) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
double_divide(inverse(X_11),multiply(X_43,X_11)) = multiply(X_11,double_divide(X_43,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(multiply(X_43,X_11))),multiply(X_11,double_divide(X_43,X_11))) )],[refute_0_1114,refute_0_1123]) ).
cnf(refute_0_1125,plain,
( double_divide(inverse(X_11),multiply(X_43,X_11)) != multiply(X_11,double_divide(X_43,X_11))
| inverse(X_43) != double_divide(inverse(X_11),multiply(X_43,X_11))
| inverse(X_43) = multiply(X_11,double_divide(X_43,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_43),double_divide(inverse(X_11),multiply(X_43,X_11))) ),[1],$fot(multiply(X_11,double_divide(X_43,X_11)))]]) ).
cnf(refute_0_1126,plain,
( inverse(X_43) != double_divide(inverse(X_11),multiply(X_43,X_11))
| inverse(X_43) = multiply(X_11,double_divide(X_43,X_11)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),multiply(X_43,X_11)),multiply(X_11,double_divide(X_43,X_11))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
inverse(X_43) = multiply(X_11,double_divide(X_43,X_11)),
inference(resolve,[$cnf( $equal(inverse(X_43),double_divide(inverse(X_11),multiply(X_43,X_11))) )],[refute_0_1109,refute_0_1126]) ).
cnf(refute_0_1128,plain,
inverse(X_43) = multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))),
inference(subst,[],[refute_0_1127:[bind(X_11,$fot(double_divide(X_97,X_96)))]]) ).
cnf(refute_0_1129,plain,
( inverse(X_43) != multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96)))
| multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))) = inverse(X_43) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_43))),bind(Y,$fot(multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96)))))]]) ).
cnf(refute_0_1130,plain,
multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))) = inverse(X_43),
inference(resolve,[$cnf( $equal(inverse(X_43),multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96)))) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
( multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))) != inverse(X_43)
| double_divide(X_96,multiply(X_97,multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))))) != inverse(double_divide(X_43,double_divide(X_97,X_96)))
| double_divide(X_96,multiply(X_97,inverse(X_43))) = inverse(double_divide(X_43,double_divide(X_97,X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_96,multiply(X_97,multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))))),inverse(double_divide(X_43,double_divide(X_97,X_96)))) ),[0,1,1],$fot(inverse(X_43))]]) ).
cnf(refute_0_1132,plain,
( double_divide(X_96,multiply(X_97,multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))))) != inverse(double_divide(X_43,double_divide(X_97,X_96)))
| double_divide(X_96,multiply(X_97,inverse(X_43))) = inverse(double_divide(X_43,double_divide(X_97,X_96))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))),inverse(X_43)) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
double_divide(X_96,multiply(X_97,inverse(X_43))) = inverse(double_divide(X_43,double_divide(X_97,X_96))),
inference(resolve,[$cnf( $equal(double_divide(X_96,multiply(X_97,multiply(double_divide(X_97,X_96),double_divide(X_43,double_divide(X_97,X_96))))),inverse(double_divide(X_43,double_divide(X_97,X_96)))) )],[refute_0_1056,refute_0_1132]) ).
cnf(refute_0_1134,plain,
inverse(double_divide(X_43,double_divide(X_97,X_96))) = multiply(double_divide(X_97,X_96),X_43),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(X_97,X_96))),bind(B,$fot(X_43))]]) ).
cnf(refute_0_1135,plain,
( double_divide(X_96,multiply(X_97,inverse(X_43))) != inverse(double_divide(X_43,double_divide(X_97,X_96)))
| inverse(double_divide(X_43,double_divide(X_97,X_96))) != multiply(double_divide(X_97,X_96),X_43)
| double_divide(X_96,multiply(X_97,inverse(X_43))) = multiply(double_divide(X_97,X_96),X_43) ),
introduced(tautology,[equality,[$cnf( ~ $equal(double_divide(X_96,multiply(X_97,inverse(X_43))),multiply(double_divide(X_97,X_96),X_43)) ),[0],$fot(inverse(double_divide(X_43,double_divide(X_97,X_96))))]]) ).
cnf(refute_0_1136,plain,
( double_divide(X_96,multiply(X_97,inverse(X_43))) != inverse(double_divide(X_43,double_divide(X_97,X_96)))
| double_divide(X_96,multiply(X_97,inverse(X_43))) = multiply(double_divide(X_97,X_96),X_43) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_43,double_divide(X_97,X_96))),multiply(double_divide(X_97,X_96),X_43)) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
double_divide(X_96,multiply(X_97,inverse(X_43))) = multiply(double_divide(X_97,X_96),X_43),
inference(resolve,[$cnf( $equal(double_divide(X_96,multiply(X_97,inverse(X_43))),inverse(double_divide(X_43,double_divide(X_97,X_96)))) )],[refute_0_1133,refute_0_1136]) ).
cnf(refute_0_1138,plain,
double_divide(B,multiply(X_121,inverse(X_119))) = multiply(double_divide(X_121,B),X_119),
inference(subst,[],[refute_0_1137:[bind(X_43,$fot(X_119)),bind(X_96,$fot(B)),bind(X_97,$fot(X_121))]]) ).
cnf(refute_0_1139,plain,
double_divide(multiply(inverse(X_119),B),X_121) = double_divide(B,multiply(X_121,inverse(X_119))),
inference(subst,[],[refute_0_939:[bind(X_90,$fot(inverse(X_119))),bind(X_91,$fot(B)),bind(X_92,$fot(X_121))]]) ).
cnf(refute_0_1140,plain,
( double_divide(B,multiply(X_121,inverse(X_119))) != multiply(double_divide(X_121,B),X_119)
| double_divide(multiply(inverse(X_119),B),X_121) != double_divide(B,multiply(X_121,inverse(X_119)))
| double_divide(multiply(inverse(X_119),B),X_121) = multiply(double_divide(X_121,B),X_119) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(multiply(inverse(X_119),B),X_121))),bind(Y,$fot(double_divide(B,multiply(X_121,inverse(X_119))))),bind(Z,$fot(multiply(double_divide(X_121,B),X_119)))]]) ).
cnf(refute_0_1141,plain,
( double_divide(B,multiply(X_121,inverse(X_119))) != multiply(double_divide(X_121,B),X_119)
| double_divide(multiply(inverse(X_119),B),X_121) = multiply(double_divide(X_121,B),X_119) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_119),B),X_121),double_divide(B,multiply(X_121,inverse(X_119)))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
double_divide(multiply(inverse(X_119),B),X_121) = multiply(double_divide(X_121,B),X_119),
inference(resolve,[$cnf( $equal(double_divide(B,multiply(X_121,inverse(X_119))),multiply(double_divide(X_121,B),X_119)) )],[refute_0_1138,refute_0_1141]) ).
cnf(refute_0_1143,plain,
double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) = double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122),
introduced(tautology,[refl,[$fot(double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))]]) ).
cnf(refute_0_1144,plain,
( double_divide(multiply(inverse(X_119),B),X_121) != multiply(double_divide(X_121,B),X_119)
| double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) != double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)
| double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) = double_divide(multiply(double_divide(X_121,B),X_119),X_122) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122),double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) ),[1,0],$fot(multiply(double_divide(X_121,B),X_119))]]) ).
cnf(refute_0_1145,plain,
( double_divide(multiply(inverse(X_119),B),X_121) != multiply(double_divide(X_121,B),X_119)
| double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) = double_divide(multiply(double_divide(X_121,B),X_119),X_122) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122),double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) = double_divide(multiply(double_divide(X_121,B),X_119),X_122),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_119),B),X_121),multiply(double_divide(X_121,B),X_119)) )],[refute_0_1142,refute_0_1145]) ).
cnf(refute_0_1147,plain,
( double_divide(multiply(double_divide(X_121,B),X_119),X_122) != double_divide(X_119,multiply(X_122,double_divide(X_121,B)))
| double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) != double_divide(multiply(double_divide(X_121,B),X_119),X_122)
| double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) = double_divide(X_119,multiply(X_122,double_divide(X_121,B))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),bind(Y,$fot(double_divide(multiply(double_divide(X_121,B),X_119),X_122))),bind(Z,$fot(double_divide(X_119,multiply(X_122,double_divide(X_121,B)))))]]) ).
cnf(refute_0_1148,plain,
( double_divide(multiply(double_divide(X_121,B),X_119),X_122) != double_divide(X_119,multiply(X_122,double_divide(X_121,B)))
| double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) = double_divide(X_119,multiply(X_122,double_divide(X_121,B))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122),double_divide(multiply(double_divide(X_121,B),X_119),X_122)) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) = double_divide(X_119,multiply(X_122,double_divide(X_121,B))),
inference(resolve,[$cnf( $equal(double_divide(multiply(double_divide(X_121,B),X_119),X_122),double_divide(X_119,multiply(X_122,double_divide(X_121,B)))) )],[refute_0_1048,refute_0_1148]) ).
cnf(refute_0_1150,plain,
double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) = double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)),
introduced(tautology,[refl,[$fot(double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))]]) ).
cnf(refute_0_1151,plain,
( double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) != double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))
| double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) != double_divide(X_119,multiply(X_122,double_divide(X_121,B)))
| double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) = double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)),double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) ),[1,1],$fot(double_divide(X_119,multiply(X_122,double_divide(X_121,B))))]]) ).
cnf(refute_0_1152,plain,
( double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122) != double_divide(X_119,multiply(X_122,double_divide(X_121,B)))
| double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) = double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))) ),
inference(resolve,[$cnf( $equal(double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)),double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) = double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122),double_divide(X_119,multiply(X_122,double_divide(X_121,B)))) )],[refute_0_1149,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))) != multiply(X_122,double_divide(X_121,B))
| double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) != double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B))))
| double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) = multiply(X_122,double_divide(X_121,B)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),bind(Y,$fot(double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))))),bind(Z,$fot(multiply(X_122,double_divide(X_121,B))))]]) ).
cnf(refute_0_1155,plain,
( double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))) != multiply(X_122,double_divide(X_121,B))
| double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) = multiply(X_122,double_divide(X_121,B)) ),
inference(resolve,[$cnf( $equal(double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)),double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B))))) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) = multiply(X_122,double_divide(X_121,B)),
inference(resolve,[$cnf( $equal(double_divide(X_119,double_divide(X_119,multiply(X_122,double_divide(X_121,B)))),multiply(X_122,double_divide(X_121,B))) )],[refute_0_1047,refute_0_1155]) ).
cnf(refute_0_1157,plain,
inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)),
inference(subst,[],[refute_0_564:[bind(X_13,$fot(X_119)),bind(X_14,$fot(double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))]]) ).
cnf(refute_0_1158,plain,
( double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) != multiply(X_122,double_divide(X_121,B))
| inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) != double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))
| inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(X_122,double_divide(X_121,B)) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))),bind(Y,$fot(double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),bind(Z,$fot(multiply(X_122,double_divide(X_121,B))))]]) ).
cnf(refute_0_1159,plain,
( double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)) != multiply(X_122,double_divide(X_121,B))
| inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(X_122,double_divide(X_121,B)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(X_122,double_divide(X_121,B)),
inference(resolve,[$cnf( $equal(double_divide(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)),multiply(X_122,double_divide(X_121,B))) )],[refute_0_1156,refute_0_1159]) ).
cnf(refute_0_1161,plain,
multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),
introduced(tautology,[refl,[$fot(multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))))]]) ).
cnf(refute_0_1162,plain,
( multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) != multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))
| inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) != multiply(X_122,double_divide(X_121,B))
| multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(B,multiply(X_122,double_divide(X_121,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))) ),[1,1],$fot(multiply(X_122,double_divide(X_121,B)))]]) ).
cnf(refute_0_1163,plain,
( inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) != multiply(X_122,double_divide(X_121,B))
| multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(B,multiply(X_122,double_divide(X_121,B))) ),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(B,multiply(X_122,double_divide(X_121,B))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),multiply(X_122,double_divide(X_121,B))) )],[refute_0_1160,refute_0_1163]) ).
cnf(refute_0_1165,plain,
multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B) = multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),
inference(subst,[],[refute_0_823:[bind(X_51,$fot(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))),bind(X_55,$fot(B))]]) ).
cnf(refute_0_1166,plain,
double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B),
inference(subst,[],[refute_0_866:[bind(X_54,$fot(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))]]) ).
cnf(refute_0_1167,plain,
( multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B) != multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))
| double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) != multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B)
| double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))),bind(Y,$fot(multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B))),bind(Z,$fot(multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))))]]) ).
cnf(refute_0_1168,plain,
( multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B) != multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))
| double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B)) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),B),multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))) )],[refute_0_1165,refute_0_1168]) ).
cnf(refute_0_1170,plain,
( multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) != multiply(B,multiply(X_122,double_divide(X_121,B)))
| double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) != multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))
| double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(B,multiply(X_122,double_divide(X_121,B))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))),bind(Y,$fot(multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))))),bind(Z,$fot(multiply(B,multiply(X_122,double_divide(X_121,B)))))]]) ).
cnf(refute_0_1171,plain,
( multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) != multiply(B,multiply(X_122,double_divide(X_121,B)))
| double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(B,multiply(X_122,double_divide(X_121,B))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) = multiply(B,multiply(X_122,double_divide(X_121,B))),
inference(resolve,[$cnf( $equal(multiply(B,inverse(multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),multiply(B,multiply(X_122,double_divide(X_121,B)))) )],[refute_0_1164,refute_0_1171]) ).
cnf(refute_0_1173,plain,
multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),
introduced(tautology,[refl,[$fot(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))))]]) ).
cnf(refute_0_1174,plain,
( multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) != multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))
| double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) != multiply(B,multiply(X_122,double_divide(X_121,B)))
| multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))) ),[1,1],$fot(multiply(B,multiply(X_122,double_divide(X_121,B))))]]) ).
cnf(refute_0_1175,plain,
( double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))) != multiply(B,multiply(X_122,double_divide(X_121,B)))
| multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B)))) ),
inference(resolve,[$cnf( $equal(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))))) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) = multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122))),multiply(B,multiply(X_122,double_divide(X_121,B)))) )],[refute_0_1172,refute_0_1175]) ).
cnf(refute_0_1177,plain,
( multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) != X_122
| multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) != multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B))))
| multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B)))) = X_122 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),X_122) ),[0],$fot(multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B)))))]]) ).
cnf(refute_0_1178,plain,
( multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))) != X_122
| multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B)))) = X_122 ),
inference(resolve,[$cnf( $equal(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B))))) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
multiply(X_121,multiply(B,multiply(X_122,double_divide(X_121,B)))) = X_122,
inference(resolve,[$cnf( $equal(multiply(X_121,double_divide(inverse(B),multiply(X_119,double_divide(double_divide(multiply(inverse(X_119),B),X_121),X_122)))),X_122) )],[refute_0_957,refute_0_1178]) ).
cnf(refute_0_1180,plain,
multiply(X_124,multiply(multiply(X_80,X_42),multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))))) = multiply(X_80,multiply(X_124,X_42)),
inference(subst,[],[refute_0_1179:[bind(B,$fot(multiply(X_80,X_42))),bind(X_121,$fot(X_124)),bind(X_122,$fot(multiply(X_80,multiply(X_124,X_42))))]]) ).
cnf(refute_0_1181,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)),inverse(B))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_30:[bind(A,$fot(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))),bind(C,$fot(inverse(identity)))]]) ).
cnf(refute_0_1182,plain,
double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)) = X_12,
inference(subst,[],[refute_0_30:[bind(A,$fot(B)),bind(B,$fot(X_11)),bind(C,$fot(X_12))]]) ).
cnf(refute_0_1183,plain,
( double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)) != X_12
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)),inverse(B))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)),inverse(B))),inverse(identity)),inverse(identity)) ),[0,0,1,0],$fot(X_12)]]) ).
cnf(refute_0_1184,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)),inverse(B))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)),X_12) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(double_divide(double_divide(B,double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)),inverse(B))),inverse(identity)),inverse(identity)) )],[refute_0_1181,refute_0_1184]) ).
cnf(refute_0_1186,plain,
inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B)))) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),
inference(subst,[],[refute_0_43:[bind(A,$fot(double_divide(X_12,inverse(B)))),bind(B,$fot(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))))]]) ).
cnf(refute_0_1187,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) = inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B)))),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B)))))]]) ).
cnf(refute_0_1188,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) != inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))))
| inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B)))) != multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity))),bind(Y,$fot(inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B)))))),bind(Z,$fot(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_1189,plain,
( inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B)))) != multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity),inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B)))),multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))) )],[refute_0_1186,refute_0_1189]) ).
cnf(refute_0_1191,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)))]]) ).
cnf(refute_0_1192,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity))
| inverse(identity) != identity
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_1193,plain,
( inverse(identity) != identity
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity))) )],[refute_0_1191,refute_0_1192]) ).
cnf(refute_0_1194,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_1193]) ).
cnf(refute_0_1195,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) != multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) != double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity)
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)))),bind(Y,$fot(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity))),bind(Z,$fot(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))))]]) ).
cnf(refute_0_1196,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity) != multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)),double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity)) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),identity),multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))) )],[refute_0_1190,refute_0_1196]) ).
cnf(refute_0_1198,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) != multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) != inverse(identity)
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)),inverse(identity)) ),[0],$fot(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))))]]) ).
cnf(refute_0_1199,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) != inverse(identity)
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)),multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) != inverse(identity)
| inverse(identity) != identity
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_1201,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) != inverse(identity)
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_224,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)) != inverse(identity)
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),inverse(identity)) )],[refute_0_1199,refute_0_1201]) ).
cnf(refute_0_1203,plain,
multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = identity,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(X_12,inverse(B))),inverse(identity)),inverse(identity)) )],[refute_0_1185,refute_0_1202]) ).
cnf(refute_0_1204,plain,
double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)) = double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)),
inference(subst,[],[refute_0_658:[bind(A,$fot(double_divide(double_divide(X_11,B),X_12))),bind(B,$fot(inverse(X_11)))]]) ).
cnf(refute_0_1205,plain,
multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))))]]) ).
cnf(refute_0_1206,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) != multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))
| double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)) != double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))) ),[1,1],$fot(double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))]]) ).
cnf(refute_0_1207,plain,
( double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)) != double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)))) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) = multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) )],[refute_0_1204,refute_0_1207]) ).
cnf(refute_0_1209,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) != multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))
| multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) != identity
| multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),identity) ),[0],$fot(multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))))]]) ).
cnf(refute_0_1210,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))) != identity
| multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(double_divide(double_divide(X_11,B),X_12),inverse(X_11))),identity) )],[refute_0_1203,refute_0_1210]) ).
cnf(refute_0_1212,plain,
double_divide(X_12,inverse(B)) = multiply(inverse(X_12),B),
inference(subst,[],[refute_0_766:[bind(X_11,$fot(X_12)),bind(X_51,$fot(B))]]) ).
cnf(refute_0_1213,plain,
multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),
introduced(tautology,[refl,[$fot(multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))))]]) ).
cnf(refute_0_1214,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))
| double_divide(X_12,inverse(B)) != multiply(inverse(X_12),B)
| multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))) ),[1,0],$fot(multiply(inverse(X_12),B))]]) ).
cnf(refute_0_1215,plain,
( double_divide(X_12,inverse(B)) != multiply(inverse(X_12),B)
| multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),
inference(resolve,[$cnf( $equal(double_divide(X_12,inverse(B)),multiply(inverse(X_12),B)) )],[refute_0_1212,refute_0_1215]) ).
cnf(refute_0_1217,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))
| multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != identity
| multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),identity) ),[0],$fot(multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))))]]) ).
cnf(refute_0_1218,plain,
( multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != identity
| multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = identity ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = identity,
inference(resolve,[$cnf( $equal(multiply(double_divide(X_12,inverse(B)),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),identity) )],[refute_0_1211,refute_0_1218]) ).
cnf(refute_0_1220,plain,
inverse(double_divide(double_divide(X_11,B),X_12)) = multiply(X_12,double_divide(X_11,B)),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_12)),bind(B,$fot(double_divide(X_11,B)))]]) ).
cnf(refute_0_1221,plain,
multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) = multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))))]]) ).
cnf(refute_0_1222,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) != multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))
| inverse(double_divide(double_divide(X_11,B),X_12)) != multiply(X_12,double_divide(X_11,B))
| multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,B))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))),multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))) ),[1,1],$fot(multiply(X_12,double_divide(X_11,B)))]]) ).
cnf(refute_0_1223,plain,
( inverse(double_divide(double_divide(X_11,B),X_12)) != multiply(X_12,double_divide(X_11,B))
| multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,B))) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))),multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) = multiply(X_11,multiply(X_12,double_divide(X_11,B))),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_11,B),X_12)),multiply(X_12,double_divide(X_11,B))) )],[refute_0_1220,refute_0_1223]) ).
cnf(refute_0_1225,plain,
multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11) = multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))),
inference(subst,[],[refute_0_1116:[bind(X_48,$fot(inverse(double_divide(double_divide(X_11,B),X_12)))),bind(X_50,$fot(X_11))]]) ).
cnf(refute_0_1226,plain,
double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) = multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11),
inference(subst,[],[refute_0_866:[bind(B,$fot(X_11)),bind(X_54,$fot(double_divide(double_divide(X_11,B),X_12)))]]) ).
cnf(refute_0_1227,plain,
( multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11) != multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) != multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11)
| double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) = multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))),bind(Y,$fot(multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11))),bind(Z,$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))))]]) ).
cnf(refute_0_1228,plain,
( multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11) != multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) = multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)),multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11)) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) = multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(double_divide(X_11,B),X_12)),X_11),multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))) )],[refute_0_1225,refute_0_1228]) ).
cnf(refute_0_1230,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) != multiply(X_11,multiply(X_12,double_divide(X_11,B)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) != multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) = multiply(X_11,multiply(X_12,double_divide(X_11,B))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))),bind(Y,$fot(multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))))),bind(Z,$fot(multiply(X_11,multiply(X_12,double_divide(X_11,B)))))]]) ).
cnf(refute_0_1231,plain,
( multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))) != multiply(X_11,multiply(X_12,double_divide(X_11,B)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) = multiply(X_11,multiply(X_12,double_divide(X_11,B))) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)),multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12)))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) = multiply(X_11,multiply(X_12,double_divide(X_11,B))),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(double_divide(double_divide(X_11,B),X_12))),multiply(X_11,multiply(X_12,double_divide(X_11,B)))) )],[refute_0_1224,refute_0_1231]) ).
cnf(refute_0_1233,plain,
multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))))]]) ).
cnf(refute_0_1234,plain,
( multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))
| double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) != multiply(X_11,multiply(X_12,double_divide(X_11,B)))
| multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))) ),[1,1],$fot(multiply(X_11,multiply(X_12,double_divide(X_11,B))))]]) ).
cnf(refute_0_1235,plain,
( double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)) != multiply(X_11,multiply(X_12,double_divide(X_11,B)))
| multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) = multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B)))),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12)),multiply(X_11,multiply(X_12,double_divide(X_11,B)))) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B))))
| multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != identity
| multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B)))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),identity) ),[0],$fot(multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B)))))]]) ).
cnf(refute_0_1238,plain,
( multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))) != identity
| multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B)))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B))))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
multiply(multiply(inverse(X_12),B),multiply(X_11,multiply(X_12,double_divide(X_11,B)))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_12),B),double_divide(inverse(X_11),double_divide(double_divide(X_11,B),X_12))),identity) )],[refute_0_1219,refute_0_1238]) ).
cnf(refute_0_1240,plain,
multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_42,X_80))))) = identity,
inference(subst,[],[refute_0_1239:[bind(B,$fot(double_divide(X_42,X_80))),bind(X_11,$fot(X_80)),bind(X_12,$fot(X_81))]]) ).
cnf(refute_0_1241,plain,
double_divide(X_80,double_divide(X_42,X_80)) = X_42,
inference(subst,[],[refute_0_919:[bind(X_11,$fot(X_80))]]) ).
cnf(refute_0_1242,plain,
( multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_42,X_80))))) != identity
| double_divide(X_80,double_divide(X_42,X_80)) != X_42
| multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_42,X_80))))),identity) ),[0,1,1,1],$fot(X_42)]]) ).
cnf(refute_0_1243,plain,
( multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_42,X_80))))) != identity
| multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) = identity ),
inference(resolve,[$cnf( $equal(double_divide(X_80,double_divide(X_42,X_80)),X_42) )],[refute_0_1241,refute_0_1242]) ).
cnf(refute_0_1244,plain,
multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,double_divide(X_80,double_divide(X_42,X_80))))),identity) )],[refute_0_1240,refute_0_1243]) ).
cnf(refute_0_1245,plain,
multiply(inverse(X_81),double_divide(X_42,X_80)) = double_divide(X_81,multiply(X_80,X_42)),
inference(subst,[],[refute_0_845:[bind(A,$fot(X_80)),bind(B,$fot(X_42)),bind(X_53,$fot(X_81))]]) ).
cnf(refute_0_1246,plain,
multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))) = multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))))]]) ).
cnf(refute_0_1247,plain,
( multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))) != multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80)))
| multiply(inverse(X_81),double_divide(X_42,X_80)) != double_divide(X_81,multiply(X_80,X_42))
| multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))) = multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))),multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80)))) ),[1,1],$fot(double_divide(X_81,multiply(X_80,X_42)))]]) ).
cnf(refute_0_1248,plain,
( multiply(inverse(X_81),double_divide(X_42,X_80)) != double_divide(X_81,multiply(X_80,X_42))
| multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))) = multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))),multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80)))) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))) = multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_81),double_divide(X_42,X_80)),double_divide(X_81,multiply(X_80,X_42))) )],[refute_0_1245,refute_0_1248]) ).
cnf(refute_0_1250,plain,
multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) = multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))),
inference(subst,[],[refute_0_823:[bind(X_51,$fot(multiply(inverse(X_81),double_divide(X_42,X_80)))),bind(X_55,$fot(multiply(X_80,multiply(X_81,X_42))))]]) ).
cnf(refute_0_1251,plain,
( multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))) != multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42)))
| multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) != multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80)))
| multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) = multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))))),bind(Y,$fot(multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))))),bind(Z,$fot(multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42)))))]]) ).
cnf(refute_0_1252,plain,
( multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))) != multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42)))
| multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) = multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))),multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80)))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) = multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,multiply(X_81,X_42)),multiply(inverse(X_81),double_divide(X_42,X_80))),multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42)))) )],[refute_0_1249,refute_0_1252]) ).
cnf(refute_0_1254,plain,
( multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) != multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42)))
| multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) != identity
| multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))) = identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))),identity) ),[0],$fot(multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))))]]) ).
cnf(refute_0_1255,plain,
( multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))) != identity
| multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))) = identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))),multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42)))) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
multiply(multiply(X_80,multiply(X_81,X_42)),double_divide(X_81,multiply(X_80,X_42))) = identity,
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_81),double_divide(X_42,X_80)),multiply(X_80,multiply(X_81,X_42))),identity) )],[refute_0_1244,refute_0_1255]) ).
cnf(refute_0_1257,plain,
multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))) = identity,
inference(subst,[],[refute_0_1256:[bind(X_81,$fot(X_124))]]) ).
cnf(refute_0_1258,plain,
( multiply(X_124,multiply(multiply(X_80,X_42),multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))))) != multiply(X_80,multiply(X_124,X_42))
| multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))) != identity
| multiply(X_124,multiply(multiply(X_80,X_42),identity)) = multiply(X_80,multiply(X_124,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_124,multiply(multiply(X_80,X_42),multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))))),multiply(X_80,multiply(X_124,X_42))) ),[0,1,1],$fot(identity)]]) ).
cnf(refute_0_1259,plain,
( multiply(X_124,multiply(multiply(X_80,X_42),multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))))) != multiply(X_80,multiply(X_124,X_42))
| multiply(X_124,multiply(multiply(X_80,X_42),identity)) = multiply(X_80,multiply(X_124,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))),identity) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
multiply(X_124,multiply(multiply(X_80,X_42),identity)) = multiply(X_80,multiply(X_124,X_42)),
inference(resolve,[$cnf( $equal(multiply(X_124,multiply(multiply(X_80,X_42),multiply(multiply(X_80,multiply(X_124,X_42)),double_divide(X_124,multiply(X_80,X_42))))),multiply(X_80,multiply(X_124,X_42))) )],[refute_0_1180,refute_0_1259]) ).
cnf(refute_0_1261,plain,
multiply(identity,multiply(X_42,X_80)) = multiply(X_42,X_80),
inference(subst,[],[refute_0_539:[bind(X_3,$fot(multiply(X_42,X_80)))]]) ).
cnf(refute_0_1262,plain,
double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))))) = inverse(X_86),
inference(subst,[],[refute_0_914:[bind(X_10,$fot(double_divide(X_13,X_14))),bind(X_11,$fot(multiply(X_13,X_14))),bind(X_12,$fot(X_86))]]) ).
cnf(refute_0_1263,plain,
identity = double_divide(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))),
inference(subst,[],[refute_0_60:[bind(X_2,$fot(inverse(identity))),bind(X_3,$fot(double_divide(X_13,double_divide(identity,inverse(X_14)))))]]) ).
cnf(refute_0_1264,plain,
( double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)) != multiply(X_13,X_14)
| identity != double_divide(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))
| identity = double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))) ),[1,0],$fot(multiply(X_13,X_14))]]) ).
cnf(refute_0_1265,plain,
( identity != double_divide(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))
| identity = double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)),multiply(X_13,X_14)) )],[refute_0_481,refute_0_1264]) ).
cnf(refute_0_1266,plain,
identity = double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))),
inference(resolve,[$cnf( $equal(identity,double_divide(double_divide(double_divide(X_13,double_divide(identity,inverse(X_14))),inverse(identity)),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))) )],[refute_0_1263,refute_0_1265]) ).
cnf(refute_0_1267,plain,
double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) = double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))),
introduced(tautology,[refl,[$fot(double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))))]]) ).
cnf(refute_0_1268,plain,
( multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != double_divide(X_13,X_14)
| double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) != double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))
| double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) = double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))),double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))) ),[1,1],$fot(double_divide(X_13,X_14))]]) ).
cnf(refute_0_1269,plain,
( multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))) != double_divide(X_13,X_14)
| double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) = double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))),double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))) )],[refute_0_1267,refute_0_1268]) ).
cnf(refute_0_1270,plain,
double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) = double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)),
inference(resolve,[$cnf( $equal(multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))),double_divide(X_13,X_14)) )],[refute_0_559,refute_0_1269]) ).
cnf(refute_0_1271,plain,
( double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))) != double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))
| identity != double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))
| identity = double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))) ),[1],$fot(double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)))]]) ).
cnf(refute_0_1272,plain,
( identity != double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))
| identity = double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14))))),double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
identity = double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)),
inference(resolve,[$cnf( $equal(identity,double_divide(multiply(X_13,X_14),multiply(inverse(identity),double_divide(X_13,double_divide(identity,inverse(X_14)))))) )],[refute_0_1266,refute_0_1272]) ).
cnf(refute_0_1274,plain,
( identity != double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))
| double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))))]]) ).
cnf(refute_0_1275,plain,
double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)) != identity
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))))) != inverse(X_86)
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) = inverse(X_86) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))))),inverse(X_86)) ),[0,1,1,1],$fot(identity)]]) ).
cnf(refute_0_1277,plain,
( double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))))) != inverse(X_86)
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) = inverse(X_86) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(X_13,X_14),double_divide(X_13,X_14)),identity) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) = inverse(X_86),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,double_divide(multiply(X_13,X_14),double_divide(X_13,X_14))))),inverse(X_86)) )],[refute_0_1262,refute_0_1277]) ).
cnf(refute_0_1279,plain,
multiply(X_86,identity) = X_86,
inference(subst,[],[refute_0_643:[bind(X_10,$fot(X_86))]]) ).
cnf(refute_0_1280,plain,
multiply(multiply(X_13,X_14),multiply(X_86,identity)) = multiply(multiply(X_13,X_14),multiply(X_86,identity)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_13,X_14),multiply(X_86,identity)))]]) ).
cnf(refute_0_1281,plain,
( multiply(X_86,identity) != X_86
| multiply(multiply(X_13,X_14),multiply(X_86,identity)) != multiply(multiply(X_13,X_14),multiply(X_86,identity))
| multiply(multiply(X_13,X_14),multiply(X_86,identity)) = multiply(multiply(X_13,X_14),X_86) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_13,X_14),multiply(X_86,identity)),multiply(multiply(X_13,X_14),multiply(X_86,identity))) ),[1,1],$fot(X_86)]]) ).
cnf(refute_0_1282,plain,
( multiply(X_86,identity) != X_86
| multiply(multiply(X_13,X_14),multiply(X_86,identity)) = multiply(multiply(X_13,X_14),X_86) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,X_14),multiply(X_86,identity)),multiply(multiply(X_13,X_14),multiply(X_86,identity))) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
multiply(multiply(X_13,X_14),multiply(X_86,identity)) = multiply(multiply(X_13,X_14),X_86),
inference(resolve,[$cnf( $equal(multiply(X_86,identity),X_86) )],[refute_0_1279,refute_0_1282]) ).
cnf(refute_0_1284,plain,
double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) = double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))))]]) ).
cnf(refute_0_1285,plain,
( multiply(multiply(X_13,X_14),multiply(X_86,identity)) != multiply(multiply(X_13,X_14),X_86)
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) != double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity)))
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) = double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))),double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity)))) ),[1,1],$fot(multiply(multiply(X_13,X_14),X_86))]]) ).
cnf(refute_0_1286,plain,
( multiply(multiply(X_13,X_14),multiply(X_86,identity)) != multiply(multiply(X_13,X_14),X_86)
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) = double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))),double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity)))) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) = double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_13,X_14),multiply(X_86,identity)),multiply(multiply(X_13,X_14),X_86)) )],[refute_0_1283,refute_0_1286]) ).
cnf(refute_0_1288,plain,
( double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) != double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86))
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) != inverse(X_86)
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86)) = inverse(X_86) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))),inverse(X_86)) ),[0],$fot(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86)))]]) ).
cnf(refute_0_1289,plain,
( double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))) != inverse(X_86)
| double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86)) = inverse(X_86) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))),double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),X_86)) = inverse(X_86),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,X_14),multiply(multiply(X_13,X_14),multiply(X_86,identity))),inverse(X_86)) )],[refute_0_1278,refute_0_1289]) ).
cnf(refute_0_1291,plain,
double_divide(double_divide(X_87,X_88),multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59))) = inverse(double_divide(multiply(X_87,X_88),X_59)),
inference(subst,[],[refute_0_1290:[bind(X_13,$fot(X_87)),bind(X_14,$fot(X_88)),bind(X_86,$fot(double_divide(multiply(X_87,X_88),X_59)))]]) ).
cnf(refute_0_1292,plain,
multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59)) = inverse(X_59),
inference(subst,[],[refute_0_830:[bind(X_60,$fot(multiply(X_87,X_88)))]]) ).
cnf(refute_0_1293,plain,
( multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59)) != inverse(X_59)
| double_divide(double_divide(X_87,X_88),multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59))) != inverse(double_divide(multiply(X_87,X_88),X_59))
| double_divide(double_divide(X_87,X_88),inverse(X_59)) = inverse(double_divide(multiply(X_87,X_88),X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_87,X_88),multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59))),inverse(double_divide(multiply(X_87,X_88),X_59))) ),[0,1],$fot(inverse(X_59))]]) ).
cnf(refute_0_1294,plain,
( double_divide(double_divide(X_87,X_88),multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59))) != inverse(double_divide(multiply(X_87,X_88),X_59))
| double_divide(double_divide(X_87,X_88),inverse(X_59)) = inverse(double_divide(multiply(X_87,X_88),X_59)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59)),inverse(X_59)) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
double_divide(double_divide(X_87,X_88),inverse(X_59)) = inverse(double_divide(multiply(X_87,X_88),X_59)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_87,X_88),multiply(multiply(X_87,X_88),double_divide(multiply(X_87,X_88),X_59))),inverse(double_divide(multiply(X_87,X_88),X_59))) )],[refute_0_1291,refute_0_1294]) ).
cnf(refute_0_1296,plain,
inverse(double_divide(X_87,X_88)) = multiply(X_88,X_87),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_88)),bind(B,$fot(X_87))]]) ).
cnf(refute_0_1297,plain,
multiply(inverse(double_divide(X_87,X_88)),X_59) = multiply(inverse(double_divide(X_87,X_88)),X_59),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_87,X_88)),X_59))]]) ).
cnf(refute_0_1298,plain,
( multiply(inverse(double_divide(X_87,X_88)),X_59) != multiply(inverse(double_divide(X_87,X_88)),X_59)
| inverse(double_divide(X_87,X_88)) != multiply(X_88,X_87)
| multiply(inverse(double_divide(X_87,X_88)),X_59) = multiply(multiply(X_88,X_87),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_87,X_88)),X_59),multiply(inverse(double_divide(X_87,X_88)),X_59)) ),[1,0],$fot(multiply(X_88,X_87))]]) ).
cnf(refute_0_1299,plain,
( inverse(double_divide(X_87,X_88)) != multiply(X_88,X_87)
| multiply(inverse(double_divide(X_87,X_88)),X_59) = multiply(multiply(X_88,X_87),X_59) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_87,X_88)),X_59),multiply(inverse(double_divide(X_87,X_88)),X_59)) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
multiply(inverse(double_divide(X_87,X_88)),X_59) = multiply(multiply(X_88,X_87),X_59),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_87,X_88)),multiply(X_88,X_87)) )],[refute_0_1296,refute_0_1299]) ).
cnf(refute_0_1301,plain,
double_divide(double_divide(X_87,X_88),inverse(X_59)) = multiply(inverse(double_divide(X_87,X_88)),X_59),
inference(subst,[],[refute_0_766:[bind(X_11,$fot(double_divide(X_87,X_88))),bind(X_51,$fot(X_59))]]) ).
cnf(refute_0_1302,plain,
( multiply(inverse(double_divide(X_87,X_88)),X_59) != multiply(multiply(X_88,X_87),X_59)
| double_divide(double_divide(X_87,X_88),inverse(X_59)) != multiply(inverse(double_divide(X_87,X_88)),X_59)
| double_divide(double_divide(X_87,X_88),inverse(X_59)) = multiply(multiply(X_88,X_87),X_59) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(double_divide(double_divide(X_87,X_88),inverse(X_59)))),bind(Y,$fot(multiply(inverse(double_divide(X_87,X_88)),X_59))),bind(Z,$fot(multiply(multiply(X_88,X_87),X_59)))]]) ).
cnf(refute_0_1303,plain,
( multiply(inverse(double_divide(X_87,X_88)),X_59) != multiply(multiply(X_88,X_87),X_59)
| double_divide(double_divide(X_87,X_88),inverse(X_59)) = multiply(multiply(X_88,X_87),X_59) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_87,X_88),inverse(X_59)),multiply(inverse(double_divide(X_87,X_88)),X_59)) )],[refute_0_1301,refute_0_1302]) ).
cnf(refute_0_1304,plain,
double_divide(double_divide(X_87,X_88),inverse(X_59)) = multiply(multiply(X_88,X_87),X_59),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_87,X_88)),X_59),multiply(multiply(X_88,X_87),X_59)) )],[refute_0_1300,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( double_divide(double_divide(X_87,X_88),inverse(X_59)) != multiply(multiply(X_88,X_87),X_59)
| double_divide(double_divide(X_87,X_88),inverse(X_59)) != inverse(double_divide(multiply(X_87,X_88),X_59))
| multiply(multiply(X_88,X_87),X_59) = inverse(double_divide(multiply(X_87,X_88),X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_87,X_88),inverse(X_59)),inverse(double_divide(multiply(X_87,X_88),X_59))) ),[0],$fot(multiply(multiply(X_88,X_87),X_59))]]) ).
cnf(refute_0_1306,plain,
( double_divide(double_divide(X_87,X_88),inverse(X_59)) != inverse(double_divide(multiply(X_87,X_88),X_59))
| multiply(multiply(X_88,X_87),X_59) = inverse(double_divide(multiply(X_87,X_88),X_59)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_87,X_88),inverse(X_59)),multiply(multiply(X_88,X_87),X_59)) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
inverse(double_divide(multiply(X_87,X_88),X_59)) = multiply(X_59,multiply(X_87,X_88)),
inference(subst,[],[refute_0_43:[bind(A,$fot(X_59)),bind(B,$fot(multiply(X_87,X_88)))]]) ).
cnf(refute_0_1308,plain,
( multiply(multiply(X_88,X_87),X_59) != inverse(double_divide(multiply(X_87,X_88),X_59))
| inverse(double_divide(multiply(X_87,X_88),X_59)) != multiply(X_59,multiply(X_87,X_88))
| multiply(multiply(X_88,X_87),X_59) = multiply(X_59,multiply(X_87,X_88)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_88,X_87),X_59),multiply(X_59,multiply(X_87,X_88))) ),[0],$fot(inverse(double_divide(multiply(X_87,X_88),X_59)))]]) ).
cnf(refute_0_1309,plain,
( multiply(multiply(X_88,X_87),X_59) != inverse(double_divide(multiply(X_87,X_88),X_59))
| multiply(multiply(X_88,X_87),X_59) = multiply(X_59,multiply(X_87,X_88)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(multiply(X_87,X_88),X_59)),multiply(X_59,multiply(X_87,X_88))) )],[refute_0_1307,refute_0_1308]) ).
cnf(refute_0_1310,plain,
( double_divide(double_divide(X_87,X_88),inverse(X_59)) != inverse(double_divide(multiply(X_87,X_88),X_59))
| multiply(multiply(X_88,X_87),X_59) = multiply(X_59,multiply(X_87,X_88)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_88,X_87),X_59),inverse(double_divide(multiply(X_87,X_88),X_59))) )],[refute_0_1306,refute_0_1309]) ).
cnf(refute_0_1311,plain,
multiply(multiply(X_88,X_87),X_59) = multiply(X_59,multiply(X_87,X_88)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_87,X_88),inverse(X_59)),inverse(double_divide(multiply(X_87,X_88),X_59))) )],[refute_0_1295,refute_0_1310]) ).
cnf(refute_0_1312,plain,
multiply(multiply(X_80,X_42),identity) = multiply(identity,multiply(X_42,X_80)),
inference(subst,[],[refute_0_1311:[bind(X_59,$fot(identity)),bind(X_87,$fot(X_42)),bind(X_88,$fot(X_80))]]) ).
cnf(refute_0_1313,plain,
( multiply(multiply(X_80,X_42),identity) != multiply(identity,multiply(X_42,X_80))
| multiply(identity,multiply(X_42,X_80)) != multiply(X_42,X_80)
| multiply(multiply(X_80,X_42),identity) = multiply(X_42,X_80) ),
inference(subst,[],[refute_0_24:[bind(X,$fot(multiply(multiply(X_80,X_42),identity))),bind(Y,$fot(multiply(identity,multiply(X_42,X_80)))),bind(Z,$fot(multiply(X_42,X_80)))]]) ).
cnf(refute_0_1314,plain,
( multiply(identity,multiply(X_42,X_80)) != multiply(X_42,X_80)
| multiply(multiply(X_80,X_42),identity) = multiply(X_42,X_80) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_42),identity),multiply(identity,multiply(X_42,X_80))) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
multiply(multiply(X_80,X_42),identity) = multiply(X_42,X_80),
inference(resolve,[$cnf( $equal(multiply(identity,multiply(X_42,X_80)),multiply(X_42,X_80)) )],[refute_0_1261,refute_0_1314]) ).
cnf(refute_0_1316,plain,
multiply(X_124,multiply(multiply(X_80,X_42),identity)) = multiply(X_124,multiply(multiply(X_80,X_42),identity)),
introduced(tautology,[refl,[$fot(multiply(X_124,multiply(multiply(X_80,X_42),identity)))]]) ).
cnf(refute_0_1317,plain,
( multiply(X_124,multiply(multiply(X_80,X_42),identity)) != multiply(X_124,multiply(multiply(X_80,X_42),identity))
| multiply(multiply(X_80,X_42),identity) != multiply(X_42,X_80)
| multiply(X_124,multiply(multiply(X_80,X_42),identity)) = multiply(X_124,multiply(X_42,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_124,multiply(multiply(X_80,X_42),identity)),multiply(X_124,multiply(multiply(X_80,X_42),identity))) ),[1,1],$fot(multiply(X_42,X_80))]]) ).
cnf(refute_0_1318,plain,
( multiply(multiply(X_80,X_42),identity) != multiply(X_42,X_80)
| multiply(X_124,multiply(multiply(X_80,X_42),identity)) = multiply(X_124,multiply(X_42,X_80)) ),
inference(resolve,[$cnf( $equal(multiply(X_124,multiply(multiply(X_80,X_42),identity)),multiply(X_124,multiply(multiply(X_80,X_42),identity))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
multiply(X_124,multiply(multiply(X_80,X_42),identity)) = multiply(X_124,multiply(X_42,X_80)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_80,X_42),identity),multiply(X_42,X_80)) )],[refute_0_1315,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( multiply(X_124,multiply(multiply(X_80,X_42),identity)) != multiply(X_124,multiply(X_42,X_80))
| multiply(X_124,multiply(multiply(X_80,X_42),identity)) != multiply(X_80,multiply(X_124,X_42))
| multiply(X_124,multiply(X_42,X_80)) = multiply(X_80,multiply(X_124,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_124,multiply(multiply(X_80,X_42),identity)),multiply(X_80,multiply(X_124,X_42))) ),[0],$fot(multiply(X_124,multiply(X_42,X_80)))]]) ).
cnf(refute_0_1321,plain,
( multiply(X_124,multiply(multiply(X_80,X_42),identity)) != multiply(X_80,multiply(X_124,X_42))
| multiply(X_124,multiply(X_42,X_80)) = multiply(X_80,multiply(X_124,X_42)) ),
inference(resolve,[$cnf( $equal(multiply(X_124,multiply(multiply(X_80,X_42),identity)),multiply(X_124,multiply(X_42,X_80))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
multiply(X_124,multiply(X_42,X_80)) = multiply(X_80,multiply(X_124,X_42)),
inference(resolve,[$cnf( $equal(multiply(X_124,multiply(multiply(X_80,X_42),identity)),multiply(X_80,multiply(X_124,X_42))) )],[refute_0_1260,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( multiply(X_124,multiply(X_42,X_80)) != multiply(X_80,multiply(X_124,X_42))
| multiply(X_80,multiply(X_124,X_42)) = multiply(X_124,multiply(X_42,X_80)) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(multiply(X_124,multiply(X_42,X_80)))),bind(Y,$fot(multiply(X_80,multiply(X_124,X_42))))]]) ).
cnf(refute_0_1324,plain,
multiply(X_80,multiply(X_124,X_42)) = multiply(X_124,multiply(X_42,X_80)),
inference(resolve,[$cnf( $equal(multiply(X_124,multiply(X_42,X_80)),multiply(X_80,multiply(X_124,X_42))) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_1324:[bind(X_124,$fot(a3)),bind(X_42,$fot(b3)),bind(X_80,$fot(c3))]]) ).
cnf(refute_0_1326,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) ),[1],$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1327,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(c3,multiply(a3,b3)) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(c3,multiply(a3,b3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1327,refute_0_452]) ).
cnf(refute_0_1329,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_1330,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_1329,refute_0_1328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP579-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Tue Jun 14 12:24:58 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.77/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/0.99
% 0.77/0.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.93/1.14
%------------------------------------------------------------------------------