TSTP Solution File: GRP075-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP075-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:34:28 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 99
% Syntax : Number of clauses : 350 ( 178 unt; 0 nHn; 166 RR)
% Number of literals : 604 ( 603 equ; 260 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 654 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = Z ).
cnf(multiply,axiom,
multiply(X,Y) = double_divide(double_divide(Y,X),identity) ).
cnf(inverse,axiom,
inverse(X) = double_divide(X,identity) ).
cnf(identity,axiom,
identity = double_divide(X,inverse(X)) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(X) != double_divide(X,identity)
| double_divide(X,identity) = inverse(X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X))),bind(Y0,$fot(double_divide(X,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(X,identity) = inverse(X),
inference(resolve,[$cnf( $equal(inverse(X),double_divide(X,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(Y,X),identity) = inverse(double_divide(Y,X)),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(Y,X)))]]) ).
cnf(refute_0_6,plain,
( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
| double_divide(double_divide(Y,X),identity) != inverse(double_divide(Y,X))
| multiply(X,Y) = inverse(double_divide(Y,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),inverse(double_divide(Y,X))) ),[0],$fot(double_divide(double_divide(Y,X),identity))]]) ).
cnf(refute_0_7,plain,
( multiply(X,Y) != double_divide(double_divide(Y,X),identity)
| multiply(X,Y) = inverse(double_divide(Y,X)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Y,X),identity),inverse(double_divide(Y,X))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(X,Y) = inverse(double_divide(Y,X)),
inference(resolve,[$cnf( $equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)) )],[multiply,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(X_3),X_3) = inverse(double_divide(X_3,inverse(X_3))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_10,plain,
identity = double_divide(X_3,inverse(X_3)),
inference(subst,[],[identity:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_11,plain,
( identity != double_divide(X_3,inverse(X_3))
| double_divide(X_3,inverse(X_3)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_3,inverse(X_3))))]]) ).
cnf(refute_0_12,plain,
double_divide(X_3,inverse(X_3)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_3,inverse(X_3))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(inverse(X_3),X_3) != inverse(double_divide(X_3,inverse(X_3)))
| double_divide(X_3,inverse(X_3)) != identity
| multiply(inverse(X_3),X_3) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) ),[1,0],$fot(identity)]]) ).
cnf(refute_0_14,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( $equal(double_divide(X_3,inverse(X_3)),identity) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(inverse(X_3),X_3) = inverse(identity),
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(double_divide(X_3,inverse(X_3)))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
identity = double_divide(inverse(identity),inverse(inverse(identity))),
inference(subst,[],[identity:[bind(X,$fot(inverse(identity)))]]) ).
cnf(refute_0_17,plain,
double_divide(inverse(Z),double_divide(X,identity)) = double_divide(inverse(Z),double_divide(X,identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(Z),double_divide(X,identity)))]]) ).
cnf(refute_0_18,plain,
( double_divide(X,identity) != inverse(X)
| double_divide(inverse(Z),double_divide(X,identity)) != double_divide(inverse(Z),double_divide(X,identity))
| double_divide(inverse(Z),double_divide(X,identity)) = double_divide(inverse(Z),inverse(X)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(Z),double_divide(X,identity)),double_divide(inverse(Z),double_divide(X,identity))) ),[1,1],$fot(inverse(X))]]) ).
cnf(refute_0_19,plain,
( double_divide(X,identity) != inverse(X)
| double_divide(inverse(Z),double_divide(X,identity)) = double_divide(inverse(Z),inverse(X)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(Z),double_divide(X,identity)),double_divide(inverse(Z),double_divide(X,identity))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
double_divide(inverse(Z),double_divide(X,identity)) = double_divide(inverse(Z),inverse(X)),
inference(resolve,[$cnf( $equal(double_divide(X,identity),inverse(X)) )],[refute_0_4,refute_0_19]) ).
cnf(refute_0_21,plain,
double_divide(Z,identity) = inverse(Z),
inference(subst,[],[refute_0_4:[bind(X,$fot(Z))]]) ).
cnf(refute_0_22,plain,
( identity != double_divide(X,inverse(X))
| double_divide(X,inverse(X)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X,inverse(X))))]]) ).
cnf(refute_0_23,plain,
double_divide(X,inverse(X)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X,inverse(X))) )],[identity,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(U,inverse(U)) = identity,
inference(subst,[],[refute_0_23:[bind(X,$fot(U))]]) ).
cnf(refute_0_25,plain,
double_divide(U,identity) = inverse(U),
inference(subst,[],[refute_0_4:[bind(X,$fot(U))]]) ).
cnf(refute_0_26,plain,
double_divide(U,double_divide(U,identity)) = double_divide(U,double_divide(U,identity)),
introduced(tautology,[refl,[$fot(double_divide(U,double_divide(U,identity)))]]) ).
cnf(refute_0_27,plain,
( double_divide(U,double_divide(U,identity)) != double_divide(U,double_divide(U,identity))
| double_divide(U,identity) != inverse(U)
| double_divide(U,double_divide(U,identity)) = double_divide(U,inverse(U)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(U,double_divide(U,identity)),double_divide(U,double_divide(U,identity))) ),[1,1],$fot(inverse(U))]]) ).
cnf(refute_0_28,plain,
( double_divide(U,identity) != inverse(U)
| double_divide(U,double_divide(U,identity)) = double_divide(U,inverse(U)) ),
inference(resolve,[$cnf( $equal(double_divide(U,double_divide(U,identity)),double_divide(U,double_divide(U,identity))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(U,double_divide(U,identity)) = double_divide(U,inverse(U)),
inference(resolve,[$cnf( $equal(double_divide(U,identity),inverse(U)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_31,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_30]) ).
cnf(refute_0_32,plain,
( double_divide(U,double_divide(U,identity)) != double_divide(U,inverse(U))
| double_divide(U,inverse(U)) != identity
| double_divide(U,double_divide(U,identity)) = identity ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(U,double_divide(U,identity)))),bind(Y0,$fot(double_divide(U,inverse(U)))),bind(Z0,$fot(identity))]]) ).
cnf(refute_0_33,plain,
( double_divide(U,inverse(U)) != identity
| double_divide(U,double_divide(U,identity)) = identity ),
inference(resolve,[$cnf( $equal(double_divide(U,double_divide(U,identity)),double_divide(U,inverse(U))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
double_divide(U,double_divide(U,identity)) = identity,
inference(resolve,[$cnf( $equal(double_divide(U,inverse(U)),identity) )],[refute_0_24,refute_0_33]) ).
cnf(refute_0_35,plain,
double_divide(Z,double_divide(U,double_divide(U,identity))) = double_divide(Z,double_divide(U,double_divide(U,identity))),
introduced(tautology,[refl,[$fot(double_divide(Z,double_divide(U,double_divide(U,identity))))]]) ).
cnf(refute_0_36,plain,
( double_divide(U,double_divide(U,identity)) != identity
| double_divide(Z,double_divide(U,double_divide(U,identity))) != double_divide(Z,double_divide(U,double_divide(U,identity)))
| double_divide(Z,double_divide(U,double_divide(U,identity))) = double_divide(Z,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(Z,double_divide(U,double_divide(U,identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_37,plain,
( double_divide(U,double_divide(U,identity)) != identity
| double_divide(Z,double_divide(U,double_divide(U,identity))) = double_divide(Z,identity) ),
inference(resolve,[$cnf( $equal(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(Z,double_divide(U,double_divide(U,identity)))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
double_divide(Z,double_divide(U,double_divide(U,identity))) = double_divide(Z,identity),
inference(resolve,[$cnf( $equal(double_divide(U,double_divide(U,identity)),identity) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
( double_divide(Z,double_divide(U,double_divide(U,identity))) != double_divide(Z,identity)
| double_divide(Z,identity) != inverse(Z)
| double_divide(Z,double_divide(U,double_divide(U,identity))) = inverse(Z) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(Z,double_divide(U,double_divide(U,identity))))),bind(Y0,$fot(double_divide(Z,identity))),bind(Z0,$fot(inverse(Z)))]]) ).
cnf(refute_0_40,plain,
( double_divide(Z,identity) != inverse(Z)
| double_divide(Z,double_divide(U,double_divide(U,identity))) = inverse(Z) ),
inference(resolve,[$cnf( $equal(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(Z,identity)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
double_divide(Z,double_divide(U,double_divide(U,identity))) = inverse(Z),
inference(resolve,[$cnf( $equal(double_divide(Z,identity),inverse(Z)) )],[refute_0_21,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) = double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))]]) ).
cnf(refute_0_43,plain,
( double_divide(Z,double_divide(U,double_divide(U,identity))) != inverse(Z)
| double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) != double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))
| double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) = double_divide(inverse(Z),double_divide(X,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) ),[1,0],$fot(inverse(Z))]]) ).
cnf(refute_0_44,plain,
( double_divide(Z,double_divide(U,double_divide(U,identity))) != inverse(Z)
| double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) = double_divide(inverse(Z),double_divide(X,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) = double_divide(inverse(Z),double_divide(X,identity)),
inference(resolve,[$cnf( $equal(double_divide(Z,double_divide(U,double_divide(U,identity))),inverse(Z)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) != double_divide(inverse(Z),double_divide(X,identity))
| double_divide(inverse(Z),double_divide(X,identity)) != double_divide(inverse(Z),inverse(X))
| double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) = double_divide(inverse(Z),inverse(X)) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))),bind(Y0,$fot(double_divide(inverse(Z),double_divide(X,identity)))),bind(Z0,$fot(double_divide(inverse(Z),inverse(X))))]]) ).
cnf(refute_0_47,plain,
( double_divide(inverse(Z),double_divide(X,identity)) != double_divide(inverse(Z),inverse(X))
| double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) = double_divide(inverse(Z),inverse(X)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)),double_divide(inverse(Z),double_divide(X,identity))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) = double_divide(inverse(Z),inverse(X)),
inference(resolve,[$cnf( $equal(double_divide(inverse(Z),double_divide(X,identity)),double_divide(inverse(Z),inverse(X))) )],[refute_0_20,refute_0_47]) ).
cnf(refute_0_49,plain,
double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))))]]) ).
cnf(refute_0_50,plain,
( double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) != double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))
| double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) != double_divide(inverse(Z),inverse(X))
| double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))) ),[1,1],$fot(double_divide(inverse(Z),inverse(X)))]]) ).
cnf(refute_0_51,plain,
( double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)) != double_divide(inverse(Z),inverse(X))
| double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)),double_divide(inverse(Z),inverse(X))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(Y,identity) = inverse(Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(Y))]]) ).
cnf(refute_0_54,plain,
double_divide(X,double_divide(Y,identity)) = double_divide(X,double_divide(Y,identity)),
introduced(tautology,[refl,[$fot(double_divide(X,double_divide(Y,identity)))]]) ).
cnf(refute_0_55,plain,
( double_divide(X,double_divide(Y,identity)) != double_divide(X,double_divide(Y,identity))
| double_divide(Y,identity) != inverse(Y)
| double_divide(X,double_divide(Y,identity)) = double_divide(X,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X,double_divide(Y,identity)),double_divide(X,double_divide(Y,identity))) ),[1,1],$fot(inverse(Y))]]) ).
cnf(refute_0_56,plain,
( double_divide(Y,identity) != inverse(Y)
| double_divide(X,double_divide(Y,identity)) = double_divide(X,inverse(Y)) ),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(Y,identity)),double_divide(X,double_divide(Y,identity))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
double_divide(X,double_divide(Y,identity)) = double_divide(X,inverse(Y)),
inference(resolve,[$cnf( $equal(double_divide(Y,identity),inverse(Y)) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))))]]) ).
cnf(refute_0_59,plain,
( double_divide(X,double_divide(Y,identity)) != double_divide(X,inverse(Y))
| double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) != double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))
| double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))) ),[1,0],$fot(double_divide(X,inverse(Y)))]]) ).
cnf(refute_0_60,plain,
( double_divide(X,double_divide(Y,identity)) != double_divide(X,inverse(Y))
| double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),
inference(resolve,[$cnf( $equal(double_divide(X,double_divide(Y,identity)),double_divide(X,inverse(Y))) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
( double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) != double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))
| double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) != double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X)))
| double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))))),bind(Y0,$fot(double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))))),bind(Z0,$fot(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X)))))]]) ).
cnf(refute_0_63,plain,
( double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) != double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X)))
| double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity)))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) = double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,inverse(Y)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X)))) )],[refute_0_52,refute_0_63]) ).
cnf(refute_0_65,plain,
double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y))]]) ).
cnf(refute_0_66,plain,
( double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) != double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X)))
| double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) != double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y)
| double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y),double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y)) ),[1,0],$fot(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))))]]) ).
cnf(refute_0_67,plain,
( double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))) != double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X)))
| double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y),double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X)))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
( double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) != Z
| double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) != double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y)
| double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y) = Z ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y),Z) ),[0],$fot(double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y))]]) ).
cnf(refute_0_70,plain,
( double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) != Z
| double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y) = Z ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y),double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(Z),inverse(X))),Y) = Z,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y),Z) )],[single_axiom,refute_0_70]) ).
cnf(refute_0_72,plain,
double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),double_divide(inverse(X_12),inverse(inverse(X_12)))),X_11) = X_12,
inference(subst,[],[refute_0_71:[bind(X,$fot(inverse(X_12))),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_73,plain,
identity = double_divide(inverse(X_12),inverse(inverse(X_12))),
inference(subst,[],[identity:[bind(X,$fot(inverse(X_12)))]]) ).
cnf(refute_0_74,plain,
( identity != double_divide(inverse(X_12),inverse(inverse(X_12)))
| double_divide(inverse(X_12),inverse(inverse(X_12))) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(inverse(X_12),inverse(inverse(X_12)))))]]) ).
cnf(refute_0_75,plain,
double_divide(inverse(X_12),inverse(inverse(X_12))) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(X_12),inverse(inverse(X_12)))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),double_divide(inverse(X_12),inverse(inverse(X_12)))),X_11) != X_12
| double_divide(inverse(X_12),inverse(inverse(X_12))) != identity
| double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),double_divide(inverse(X_12),inverse(inverse(X_12)))),X_11),X_12) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_77,plain,
( double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),double_divide(inverse(X_12),inverse(inverse(X_12)))),X_11) != X_12
| double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(inverse(X_12))),identity) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),double_divide(inverse(X_12),inverse(inverse(X_12)))),X_11),X_12) )],[refute_0_72,refute_0_77]) ).
cnf(refute_0_79,plain,
( multiply(X,Y) != inverse(double_divide(Y,X))
| inverse(double_divide(Y,X)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(inverse(double_divide(Y,X))))]]) ).
cnf(refute_0_80,plain,
inverse(double_divide(Y,X)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),inverse(double_divide(Y,X))) )],[refute_0_8,refute_0_79]) ).
cnf(refute_0_81,plain,
inverse(double_divide(inverse(X_12),inverse(X_11))) = multiply(inverse(X_11),inverse(X_12)),
inference(subst,[],[refute_0_80:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(inverse(X_12)))]]) ).
cnf(refute_0_82,plain,
double_divide(double_divide(inverse(X_12),inverse(X_11)),identity) = inverse(double_divide(inverse(X_12),inverse(X_11))),
inference(subst,[],[refute_0_4:[bind(X,$fot(double_divide(inverse(X_12),inverse(X_11))))]]) ).
cnf(refute_0_83,plain,
( double_divide(double_divide(inverse(X_12),inverse(X_11)),identity) != inverse(double_divide(inverse(X_12),inverse(X_11)))
| inverse(double_divide(inverse(X_12),inverse(X_11))) != multiply(inverse(X_11),inverse(X_12))
| double_divide(double_divide(inverse(X_12),inverse(X_11)),identity) = multiply(inverse(X_11),inverse(X_12)) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity))),bind(Y0,$fot(inverse(double_divide(inverse(X_12),inverse(X_11))))),bind(Z0,$fot(multiply(inverse(X_11),inverse(X_12))))]]) ).
cnf(refute_0_84,plain,
( inverse(double_divide(inverse(X_12),inverse(X_11))) != multiply(inverse(X_11),inverse(X_12))
| double_divide(double_divide(inverse(X_12),inverse(X_11)),identity) = multiply(inverse(X_11),inverse(X_12)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),inverse(double_divide(inverse(X_12),inverse(X_11)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(double_divide(inverse(X_12),inverse(X_11)),identity) = multiply(inverse(X_11),inverse(X_12)),
inference(resolve,[$cnf( $equal(inverse(double_divide(inverse(X_12),inverse(X_11))),multiply(inverse(X_11),inverse(X_12))) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) = double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11),
introduced(tautology,[refl,[$fot(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11))]]) ).
cnf(refute_0_87,plain,
( double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) != double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11)
| double_divide(double_divide(inverse(X_12),inverse(X_11)),identity) != multiply(inverse(X_11),inverse(X_12))
| double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) = double_divide(multiply(inverse(X_11),inverse(X_12)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11),double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11)) ),[1,0],$fot(multiply(inverse(X_11),inverse(X_12)))]]) ).
cnf(refute_0_88,plain,
( double_divide(double_divide(inverse(X_12),inverse(X_11)),identity) != multiply(inverse(X_11),inverse(X_12))
| double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) = double_divide(multiply(inverse(X_11),inverse(X_12)),X_11) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11),double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) = double_divide(multiply(inverse(X_11),inverse(X_12)),X_11),
inference(resolve,[$cnf( $equal(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),multiply(inverse(X_11),inverse(X_12))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) != X_12
| double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) != double_divide(multiply(inverse(X_11),inverse(X_12)),X_11)
| double_divide(multiply(inverse(X_11),inverse(X_12)),X_11) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11),X_12) ),[0],$fot(double_divide(multiply(inverse(X_11),inverse(X_12)),X_11))]]) ).
cnf(refute_0_91,plain,
( double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11) != X_12
| double_divide(multiply(inverse(X_11),inverse(X_12)),X_11) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11),double_divide(multiply(inverse(X_11),inverse(X_12)),X_11)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(multiply(inverse(X_11),inverse(X_12)),X_11) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(inverse(X_12),inverse(X_11)),identity),X_11),X_12) )],[refute_0_78,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(multiply(inverse(inverse(X_14)),inverse(X_14)),inverse(X_14)) = X_14,
inference(subst,[],[refute_0_92:[bind(X_11,$fot(inverse(X_14))),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_94,plain,
multiply(inverse(inverse(X_14)),inverse(X_14)) = inverse(identity),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(inverse(X_14)))]]) ).
cnf(refute_0_95,plain,
( multiply(inverse(inverse(X_14)),inverse(X_14)) != inverse(identity)
| double_divide(multiply(inverse(inverse(X_14)),inverse(X_14)),inverse(X_14)) != X_14
| double_divide(inverse(identity),inverse(X_14)) = X_14 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_14)),inverse(X_14)),inverse(X_14)),X_14) ),[0,0],$fot(inverse(identity))]]) ).
cnf(refute_0_96,plain,
( double_divide(multiply(inverse(inverse(X_14)),inverse(X_14)),inverse(X_14)) != X_14
| double_divide(inverse(identity),inverse(X_14)) = X_14 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_14)),inverse(X_14)),inverse(identity)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
double_divide(inverse(identity),inverse(X_14)) = X_14,
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(inverse(X_14)),inverse(X_14)),inverse(X_14)),X_14) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
double_divide(inverse(identity),inverse(inverse(identity))) = inverse(identity),
inference(subst,[],[refute_0_97:[bind(X_14,$fot(inverse(identity)))]]) ).
cnf(refute_0_99,plain,
( double_divide(inverse(identity),inverse(inverse(identity))) != inverse(identity)
| identity != double_divide(inverse(identity),inverse(inverse(identity)))
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(inverse(identity)))) ),[1],$fot(inverse(identity))]]) ).
cnf(refute_0_100,plain,
( identity != double_divide(inverse(identity),inverse(inverse(identity)))
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(inverse(identity))),inverse(identity)) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(identity,double_divide(inverse(identity),inverse(inverse(identity)))) )],[refute_0_16,refute_0_100]) ).
cnf(refute_0_102,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(inverse(identity)))]]) ).
cnf(refute_0_103,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| inverse(identity) != identity
| multiply(inverse(X_3),X_3) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_3),X_3),identity) ),[0],$fot(inverse(identity))]]) ).
cnf(refute_0_105,plain,
( multiply(inverse(X_3),X_3) != inverse(identity)
| multiply(inverse(X_3),X_3) = identity ),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
multiply(inverse(X_3),X_3) = identity,
inference(resolve,[$cnf( $equal(multiply(inverse(X_3),X_3),inverse(identity)) )],[refute_0_15,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(inverse(a1),a1) = identity,
inference(subst,[],[refute_0_106:[bind(X_3,$fot(a1))]]) ).
cnf(refute_0_108,plain,
( multiply(inverse(a1),a1) != identity
| identity != identity
| multiply(inverse(a1),a1) = identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(a1),a1),identity) ),[0],$fot(identity)]]) ).
cnf(refute_0_109,plain,
( identity != identity
| multiply(inverse(a1),a1) = identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(identity,a2) != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),identity) )],[refute_0_109,prove_these_axioms]) ).
cnf(refute_0_111,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(X,$fot(identity)),bind(Y,$fot(X_3))]]) ).
cnf(refute_0_112,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_113,plain,
( inverse(X_3) != double_divide(X_3,identity)
| double_divide(X_3,identity) = inverse(X_3) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_3))),bind(Y0,$fot(double_divide(X_3,identity)))]]) ).
cnf(refute_0_114,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_116,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_111,refute_0_116]) ).
cnf(refute_0_118,plain,
inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity),
inference(subst,[],[inverse:[bind(X,$fot(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))))]]) ).
cnf(refute_0_119,plain,
double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12,
inference(subst,[],[refute_0_71:[bind(X,$fot(X_11)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_120,plain,
identity = double_divide(X_11,inverse(X_11)),
inference(subst,[],[identity:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_121,plain,
( identity != double_divide(X_11,inverse(X_11))
| double_divide(X_11,inverse(X_11)) = identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(identity)),bind(Y0,$fot(double_divide(X_11,inverse(X_11))))]]) ).
cnf(refute_0_122,plain,
double_divide(X_11,inverse(X_11)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_11,inverse(X_11))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( double_divide(X_11,inverse(X_11)) != identity
| double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11) != X_12
| double_divide(double_divide(identity,double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11),X_12) ),[0,0,0],$fot(identity)]]) ).
cnf(refute_0_124,plain,
( double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11) != X_12
| double_divide(double_divide(identity,double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(X_11,inverse(X_11)),identity) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
double_divide(double_divide(identity,double_divide(inverse(X_12),inverse(X_11))),X_11) = X_12,
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_11,inverse(X_11)),double_divide(inverse(X_12),inverse(X_11))),X_11),X_12) )],[refute_0_119,refute_0_124]) ).
cnf(refute_0_126,plain,
double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity) = X_22,
inference(subst,[],[refute_0_125:[bind(X_11,$fot(identity)),bind(X_12,$fot(X_22))]]) ).
cnf(refute_0_127,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity) != X_22
| inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) != double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity)
| inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))),double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity)) ),[1],$fot(X_22)]]) ).
cnf(refute_0_128,plain,
( inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) != double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity)
| inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = X_22 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity),X_22) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = X_22,
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))),double_divide(double_divide(identity,double_divide(inverse(X_22),inverse(identity))),identity)) )],[refute_0_118,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(X_15),inverse(identity)) = inverse(double_divide(inverse(identity),inverse(X_15))),
inference(subst,[],[refute_0_8:[bind(X,$fot(inverse(X_15))),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_131,plain,
double_divide(inverse(identity),inverse(X_15)) = X_15,
inference(subst,[],[refute_0_97:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_132,plain,
( multiply(inverse(X_15),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(X_15)))
| double_divide(inverse(identity),inverse(X_15)) != X_15
| multiply(inverse(X_15),inverse(identity)) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(double_divide(inverse(identity),inverse(X_15)))) ),[1,0],$fot(X_15)]]) ).
cnf(refute_0_133,plain,
( multiply(inverse(X_15),inverse(identity)) != inverse(double_divide(inverse(identity),inverse(X_15)))
| multiply(inverse(X_15),inverse(identity)) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(X_15)),X_15) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(inverse(X_15),inverse(identity)) = inverse(X_15),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(double_divide(inverse(identity),inverse(X_15)))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(inverse(X_15),inverse(identity)) = multiply(inverse(X_15),inverse(identity)),
introduced(tautology,[refl,[$fot(multiply(inverse(X_15),inverse(identity)))]]) ).
cnf(refute_0_136,plain,
( multiply(inverse(X_15),inverse(identity)) != multiply(inverse(X_15),inverse(identity))
| inverse(identity) != identity
| multiply(inverse(X_15),inverse(identity)) = multiply(inverse(X_15),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),multiply(inverse(X_15),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_137,plain,
( inverse(identity) != identity
| multiply(inverse(X_15),inverse(identity)) = multiply(inverse(X_15),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),multiply(inverse(X_15),inverse(identity))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
multiply(inverse(X_15),inverse(identity)) = multiply(inverse(X_15),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_103,refute_0_137]) ).
cnf(refute_0_139,plain,
( multiply(inverse(X_15),inverse(identity)) != multiply(inverse(X_15),identity)
| multiply(inverse(X_15),inverse(identity)) != inverse(X_15)
| multiply(inverse(X_15),identity) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(X_15)) ),[0],$fot(multiply(inverse(X_15),identity))]]) ).
cnf(refute_0_140,plain,
( multiply(inverse(X_15),inverse(identity)) != inverse(X_15)
| multiply(inverse(X_15),identity) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),multiply(inverse(X_15),identity)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(inverse(X_15),identity) = inverse(X_15),
inference(resolve,[$cnf( $equal(multiply(inverse(X_15),inverse(identity)),inverse(X_15)) )],[refute_0_134,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(inverse(inverse(X_22)),identity) = inverse(inverse(X_22)),
inference(subst,[],[refute_0_141:[bind(X_15,$fot(inverse(X_22)))]]) ).
cnf(refute_0_143,plain,
double_divide(inverse(X_22),identity) = inverse(inverse(X_22)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_22)))]]) ).
cnf(refute_0_144,plain,
double_divide(inverse(X_22),inverse(identity)) = double_divide(inverse(X_22),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_22),inverse(identity)))]]) ).
cnf(refute_0_145,plain,
( double_divide(inverse(X_22),inverse(identity)) != double_divide(inverse(X_22),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_22),inverse(identity)) = double_divide(inverse(X_22),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_22),inverse(identity)),double_divide(inverse(X_22),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_146,plain,
( inverse(identity) != identity
| double_divide(inverse(X_22),inverse(identity)) = double_divide(inverse(X_22),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(identity)),double_divide(inverse(X_22),inverse(identity))) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
double_divide(inverse(X_22),inverse(identity)) = double_divide(inverse(X_22),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_103,refute_0_146]) ).
cnf(refute_0_148,plain,
( double_divide(inverse(X_22),identity) != inverse(inverse(X_22))
| double_divide(inverse(X_22),inverse(identity)) != double_divide(inverse(X_22),identity)
| double_divide(inverse(X_22),inverse(identity)) = inverse(inverse(X_22)) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(inverse(X_22),inverse(identity)))),bind(Y0,$fot(double_divide(inverse(X_22),identity))),bind(Z0,$fot(inverse(inverse(X_22))))]]) ).
cnf(refute_0_149,plain,
( double_divide(inverse(X_22),identity) != inverse(inverse(X_22))
| double_divide(inverse(X_22),inverse(identity)) = inverse(inverse(X_22)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(identity)),double_divide(inverse(X_22),identity)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
double_divide(inverse(X_22),inverse(identity)) = inverse(inverse(X_22)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),identity),inverse(inverse(X_22))) )],[refute_0_143,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(double_divide(inverse(X_22),inverse(identity)),identity) = multiply(double_divide(inverse(X_22),inverse(identity)),identity),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_22),inverse(identity)),identity))]]) ).
cnf(refute_0_152,plain,
( multiply(double_divide(inverse(X_22),inverse(identity)),identity) != multiply(double_divide(inverse(X_22),inverse(identity)),identity)
| double_divide(inverse(X_22),inverse(identity)) != inverse(inverse(X_22))
| multiply(double_divide(inverse(X_22),inverse(identity)),identity) = multiply(inverse(inverse(X_22)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_22),inverse(identity)),identity),multiply(double_divide(inverse(X_22),inverse(identity)),identity)) ),[1,0],$fot(inverse(inverse(X_22)))]]) ).
cnf(refute_0_153,plain,
( double_divide(inverse(X_22),inverse(identity)) != inverse(inverse(X_22))
| multiply(double_divide(inverse(X_22),inverse(identity)),identity) = multiply(inverse(inverse(X_22)),identity) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_22),inverse(identity)),identity),multiply(double_divide(inverse(X_22),inverse(identity)),identity)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(double_divide(inverse(X_22),inverse(identity)),identity) = multiply(inverse(inverse(X_22)),identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_22),inverse(identity)),inverse(inverse(X_22))) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
( multiply(double_divide(inverse(X_22),inverse(identity)),identity) != multiply(inverse(inverse(X_22)),identity)
| multiply(inverse(inverse(X_22)),identity) != inverse(inverse(X_22))
| multiply(double_divide(inverse(X_22),inverse(identity)),identity) = inverse(inverse(X_22)) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(multiply(double_divide(inverse(X_22),inverse(identity)),identity))),bind(Y0,$fot(multiply(inverse(inverse(X_22)),identity))),bind(Z0,$fot(inverse(inverse(X_22))))]]) ).
cnf(refute_0_156,plain,
( multiply(inverse(inverse(X_22)),identity) != inverse(inverse(X_22))
| multiply(double_divide(inverse(X_22),inverse(identity)),identity) = inverse(inverse(X_22)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_22),inverse(identity)),identity),multiply(inverse(inverse(X_22)),identity)) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(double_divide(inverse(X_22),inverse(identity)),identity) = inverse(inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_22)),identity),inverse(inverse(X_22))) )],[refute_0_142,refute_0_156]) ).
cnf(refute_0_158,plain,
inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = multiply(double_divide(inverse(X_22),inverse(identity)),identity),
inference(subst,[],[refute_0_80:[bind(X,$fot(double_divide(inverse(X_22),inverse(identity)))),bind(Y,$fot(identity))]]) ).
cnf(refute_0_159,plain,
( multiply(double_divide(inverse(X_22),inverse(identity)),identity) != inverse(inverse(X_22))
| inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) != multiply(double_divide(inverse(X_22),inverse(identity)),identity)
| inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = inverse(inverse(X_22)) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))))),bind(Y0,$fot(multiply(double_divide(inverse(X_22),inverse(identity)),identity))),bind(Z0,$fot(inverse(inverse(X_22))))]]) ).
cnf(refute_0_160,plain,
( multiply(double_divide(inverse(X_22),inverse(identity)),identity) != inverse(inverse(X_22))
| inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = inverse(inverse(X_22)) ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))),multiply(double_divide(inverse(X_22),inverse(identity)),identity)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) = inverse(inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_22),inverse(identity)),identity),inverse(inverse(X_22))) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
( inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) != X_22
| inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) != inverse(inverse(X_22))
| inverse(inverse(X_22)) = X_22 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))),X_22) ),[0],$fot(inverse(inverse(X_22)))]]) ).
cnf(refute_0_163,plain,
( inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))) != X_22
| inverse(inverse(X_22)) = X_22 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))),inverse(inverse(X_22))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
inverse(inverse(X_22)) = X_22,
inference(resolve,[$cnf( $equal(inverse(double_divide(identity,double_divide(inverse(X_22),inverse(identity)))),X_22) )],[refute_0_129,refute_0_163]) ).
cnf(refute_0_165,plain,
inverse(inverse(X_3)) = X_3,
inference(subst,[],[refute_0_164:[bind(X_22,$fot(X_3))]]) ).
cnf(refute_0_166,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_167,plain,
( multiply(identity,X_3) != inverse(inverse(X_3))
| multiply(identity,X_3) = X_3 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_3)),X_3) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(identity,X_3) = X_3,
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(inverse(X_3))) )],[refute_0_117,refute_0_167]) ).
cnf(refute_0_169,plain,
multiply(identity,a2) = a2,
inference(subst,[],[refute_0_168:[bind(X_3,$fot(a2))]]) ).
cnf(refute_0_170,plain,
( multiply(identity,a2) != a2
| a2 != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(a2)]]) ).
cnf(refute_0_171,plain,
( a2 != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != a2
| identity != identity ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_171,refute_0_110]) ).
cnf(refute_0_173,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_174,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| identity != identity ),
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_173,refute_0_172]) ).
cnf(refute_0_175,plain,
identity = identity,
introduced(tautology,[refl,[$fot(identity)]]) ).
cnf(refute_0_176,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(identity,identity) )],[refute_0_175,refute_0_174]) ).
cnf(refute_0_177,plain,
multiply(X,multiply(inverse(X),inverse(X_14))) = inverse(double_divide(multiply(inverse(X),inverse(X_14)),X)),
inference(subst,[],[refute_0_8:[bind(Y,$fot(multiply(inverse(X),inverse(X_14))))]]) ).
cnf(refute_0_178,plain,
double_divide(multiply(inverse(X),inverse(X_14)),X) = X_14,
inference(subst,[],[refute_0_92:[bind(X_11,$fot(X)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_179,plain,
( multiply(X,multiply(inverse(X),inverse(X_14))) != inverse(double_divide(multiply(inverse(X),inverse(X_14)),X))
| double_divide(multiply(inverse(X),inverse(X_14)),X) != X_14
| multiply(X,multiply(inverse(X),inverse(X_14))) = inverse(X_14) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(inverse(X),inverse(X_14))),inverse(double_divide(multiply(inverse(X),inverse(X_14)),X))) ),[1,0],$fot(X_14)]]) ).
cnf(refute_0_180,plain,
( multiply(X,multiply(inverse(X),inverse(X_14))) != inverse(double_divide(multiply(inverse(X),inverse(X_14)),X))
| multiply(X,multiply(inverse(X),inverse(X_14))) = inverse(X_14) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X),inverse(X_14)),X),X_14) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(X,multiply(inverse(X),inverse(X_14))) = inverse(X_14),
inference(resolve,[$cnf( $equal(multiply(X,multiply(inverse(X),inverse(X_14))),inverse(double_divide(multiply(inverse(X),inverse(X_14)),X))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(X_31,multiply(inverse(X_31),inverse(inverse(X_22)))) = inverse(inverse(X_22)),
inference(subst,[],[refute_0_181:[bind(X,$fot(X_31)),bind(X_14,$fot(inverse(X_22)))]]) ).
cnf(refute_0_183,plain,
( multiply(X_31,multiply(inverse(X_31),inverse(inverse(X_22)))) != inverse(inverse(X_22))
| inverse(inverse(X_22)) != X_22
| multiply(X_31,multiply(inverse(X_31),X_22)) = inverse(inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,multiply(inverse(X_31),inverse(inverse(X_22)))),inverse(inverse(X_22))) ),[0,1,1],$fot(X_22)]]) ).
cnf(refute_0_184,plain,
( multiply(X_31,multiply(inverse(X_31),inverse(inverse(X_22)))) != inverse(inverse(X_22))
| multiply(X_31,multiply(inverse(X_31),X_22)) = inverse(inverse(X_22)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(X_31,multiply(inverse(X_31),X_22)) = inverse(inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(inverse(X_31),inverse(inverse(X_22)))),inverse(inverse(X_22))) )],[refute_0_182,refute_0_184]) ).
cnf(refute_0_186,plain,
( multiply(X_31,multiply(inverse(X_31),X_22)) != inverse(inverse(X_22))
| inverse(inverse(X_22)) != X_22
| multiply(X_31,multiply(inverse(X_31),X_22)) = X_22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_31,multiply(inverse(X_31),X_22)),X_22) ),[0],$fot(inverse(inverse(X_22)))]]) ).
cnf(refute_0_187,plain,
( multiply(X_31,multiply(inverse(X_31),X_22)) != inverse(inverse(X_22))
| multiply(X_31,multiply(inverse(X_31),X_22)) = X_22 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(X_31,multiply(inverse(X_31),X_22)) = X_22,
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(inverse(X_31),X_22)),inverse(inverse(X_22))) )],[refute_0_185,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(X_31,multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)))) = double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)),
inference(subst,[],[refute_0_188:[bind(X_22,$fot(double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))))]]) ).
cnf(refute_0_190,plain,
multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X)),
inference(subst,[],[refute_0_8:[bind(Y,$fot(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))))]]) ).
cnf(refute_0_191,plain,
double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X) = X_12,
inference(subst,[],[refute_0_71:[bind(X,$fot(X_10)),bind(Y,$fot(X)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_192,plain,
( multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) != inverse(double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X))
| double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X) != X_12
| multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),inverse(double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_193,plain,
( multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) != inverse(double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X))
| multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X),X_12) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),inverse(double_divide(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),X))) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_164:[bind(X_22,$fot(X_10))]]) ).
cnf(refute_0_196,plain,
multiply(X_12,inverse(inverse(X_10))) = multiply(X_12,inverse(inverse(X_10))),
introduced(tautology,[refl,[$fot(multiply(X_12,inverse(inverse(X_10))))]]) ).
cnf(refute_0_197,plain,
( multiply(X_12,inverse(inverse(X_10))) != multiply(X_12,inverse(inverse(X_10)))
| inverse(inverse(X_10)) != X_10
| multiply(X_12,inverse(inverse(X_10))) = multiply(X_12,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,inverse(inverse(X_10))),multiply(X_12,inverse(inverse(X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_198,plain,
( inverse(inverse(X_10)) != X_10
| multiply(X_12,inverse(inverse(X_10))) = multiply(X_12,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(inverse(X_10))),multiply(X_12,inverse(inverse(X_10)))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(X_12,inverse(inverse(X_10))) = multiply(X_12,X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
multiply(inverse(X_22),multiply(inverse(inverse(X_22)),X_33)) = X_33,
inference(subst,[],[refute_0_188:[bind(X_22,$fot(X_33)),bind(X_31,$fot(inverse(X_22)))]]) ).
cnf(refute_0_201,plain,
( multiply(inverse(X_22),multiply(inverse(inverse(X_22)),X_33)) != X_33
| inverse(inverse(X_22)) != X_22
| multiply(inverse(X_22),multiply(X_22,X_33)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),X_33)),X_33) ),[0,1,0],$fot(X_22)]]) ).
cnf(refute_0_202,plain,
( multiply(inverse(X_22),multiply(inverse(inverse(X_22)),X_33)) != X_33
| multiply(inverse(X_22),multiply(X_22,X_33)) = X_33 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_201]) ).
cnf(refute_0_203,plain,
multiply(inverse(X_22),multiply(X_22,X_33)) = X_33,
inference(resolve,[$cnf( $equal(multiply(inverse(X_22),multiply(inverse(inverse(X_22)),X_33)),X_33) )],[refute_0_200,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(inverse(double_divide(X_45,X_33)),multiply(double_divide(X_45,X_33),X_33)) = X_33,
inference(subst,[],[refute_0_203:[bind(X_22,$fot(double_divide(X_45,X_33)))]]) ).
cnf(refute_0_205,plain,
inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity),
inference(subst,[],[inverse:[bind(X,$fot(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))))]]) ).
cnf(refute_0_206,plain,
double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity) = X_12,
inference(subst,[],[refute_0_71:[bind(X,$fot(X_10)),bind(Y,$fot(identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_207,plain,
( double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity) != X_12
| inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)
| inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)) ),[1],$fot(X_12)]]) ).
cnf(refute_0_208,plain,
( inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)
| inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = X_12 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity),X_12) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = X_12,
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),double_divide(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10))),identity)) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),
inference(subst,[],[refute_0_80:[bind(X,$fot(double_divide(inverse(X_12),inverse(X_10)))),bind(Y,$fot(double_divide(X_10,inverse(identity))))]]) ).
cnf(refute_0_211,plain,
( inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != X_12
| inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))
| multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),X_12) ),[0],$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))))]]) ).
cnf(refute_0_212,plain,
( inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))) != X_12
| multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = X_12 ),
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = X_12,
inference(resolve,[$cnf( $equal(inverse(double_divide(double_divide(X_10,inverse(identity)),double_divide(inverse(X_12),inverse(X_10)))),X_12) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
double_divide(X_10,identity) = inverse(X_10),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_215,plain,
double_divide(X_10,inverse(identity)) = double_divide(X_10,inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(X_10,inverse(identity)))]]) ).
cnf(refute_0_216,plain,
( double_divide(X_10,inverse(identity)) != double_divide(X_10,inverse(identity))
| inverse(identity) != identity
| double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_217,plain,
( inverse(identity) != identity
| double_divide(X_10,inverse(identity)) = double_divide(X_10,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,inverse(identity))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
double_divide(X_10,inverse(identity)) = double_divide(X_10,identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_103,refute_0_217]) ).
cnf(refute_0_219,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,inverse(identity)) != double_divide(X_10,identity)
| double_divide(X_10,inverse(identity)) = inverse(X_10) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(X_10,inverse(identity)))),bind(Y0,$fot(double_divide(X_10,identity))),bind(Z0,$fot(inverse(X_10)))]]) ).
cnf(refute_0_220,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(X_10,inverse(identity)) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),double_divide(X_10,identity)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
double_divide(X_10,inverse(identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_214,refute_0_220]) ).
cnf(refute_0_222,plain,
multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))))]]) ).
cnf(refute_0_223,plain,
( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))
| double_divide(X_10,inverse(identity)) != inverse(X_10)
| multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_224,plain,
( double_divide(X_10,inverse(identity)) != inverse(X_10)
| multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity)))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) = multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(identity)),inverse(X_10)) )],[refute_0_221,refute_0_224]) ).
cnf(refute_0_226,plain,
( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != X_12
| multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10))
| multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),X_12) ),[0],$fot(multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)))]]) ).
cnf(refute_0_227,plain,
( multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))) != X_12
| multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(double_divide(inverse(X_12),inverse(X_10)),inverse(X_10)) = X_12,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_12),inverse(X_10)),double_divide(X_10,inverse(identity))),X_12) )],[refute_0_213,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),inverse(inverse(X_22))) = X_28,
inference(subst,[],[refute_0_228:[bind(X_10,$fot(inverse(X_22))),bind(X_12,$fot(X_28))]]) ).
cnf(refute_0_230,plain,
( multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),inverse(inverse(X_22))) != X_28
| inverse(inverse(X_22)) != X_22
| multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),inverse(inverse(X_22))),X_28) ),[0,1],$fot(X_22)]]) ).
cnf(refute_0_231,plain,
( multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),inverse(inverse(X_22))) != X_28
| multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) = X_28 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_230]) ).
cnf(refute_0_232,plain,
multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) = X_28,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),inverse(inverse(X_22))),X_28) )],[refute_0_229,refute_0_231]) ).
cnf(refute_0_233,plain,
double_divide(inverse(X_28),inverse(inverse(X_22))) = double_divide(inverse(X_28),inverse(inverse(X_22))),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_28),inverse(inverse(X_22))))]]) ).
cnf(refute_0_234,plain,
( double_divide(inverse(X_28),inverse(inverse(X_22))) != double_divide(inverse(X_28),inverse(inverse(X_22)))
| inverse(inverse(X_22)) != X_22
| double_divide(inverse(X_28),inverse(inverse(X_22))) = double_divide(inverse(X_28),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_28),inverse(inverse(X_22))),double_divide(inverse(X_28),inverse(inverse(X_22)))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_235,plain,
( inverse(inverse(X_22)) != X_22
| double_divide(inverse(X_28),inverse(inverse(X_22))) = double_divide(inverse(X_28),X_22) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_28),inverse(inverse(X_22))),double_divide(inverse(X_28),inverse(inverse(X_22)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
double_divide(inverse(X_28),inverse(inverse(X_22))) = double_divide(inverse(X_28),X_22),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_235]) ).
cnf(refute_0_237,plain,
multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) = multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22),
introduced(tautology,[refl,[$fot(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22))]]) ).
cnf(refute_0_238,plain,
( multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) != multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22)
| double_divide(inverse(X_28),inverse(inverse(X_22))) != double_divide(inverse(X_28),X_22)
| multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) = multiply(double_divide(inverse(X_28),X_22),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22),multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22)) ),[1,0],$fot(double_divide(inverse(X_28),X_22))]]) ).
cnf(refute_0_239,plain,
( double_divide(inverse(X_28),inverse(inverse(X_22))) != double_divide(inverse(X_28),X_22)
| multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) = multiply(double_divide(inverse(X_28),X_22),X_22) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22),multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) = multiply(double_divide(inverse(X_28),X_22),X_22),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_28),inverse(inverse(X_22))),double_divide(inverse(X_28),X_22)) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) != X_28
| multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) != multiply(double_divide(inverse(X_28),X_22),X_22)
| multiply(double_divide(inverse(X_28),X_22),X_22) = X_28 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22),X_28) ),[0],$fot(multiply(double_divide(inverse(X_28),X_22),X_22))]]) ).
cnf(refute_0_242,plain,
( multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22) != X_28
| multiply(double_divide(inverse(X_28),X_22),X_22) = X_28 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22),multiply(double_divide(inverse(X_28),X_22),X_22)) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(double_divide(inverse(X_28),X_22),X_22) = X_28,
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(X_28),inverse(inverse(X_22))),X_22),X_28) )],[refute_0_232,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(double_divide(inverse(inverse(X_22)),X_29),X_29) = inverse(X_22),
inference(subst,[],[refute_0_243:[bind(X_22,$fot(X_29)),bind(X_28,$fot(inverse(X_22)))]]) ).
cnf(refute_0_245,plain,
( multiply(double_divide(inverse(inverse(X_22)),X_29),X_29) != inverse(X_22)
| inverse(inverse(X_22)) != X_22
| multiply(double_divide(X_22,X_29),X_29) = inverse(X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_22)),X_29),X_29),inverse(X_22)) ),[0,0,0],$fot(X_22)]]) ).
cnf(refute_0_246,plain,
( multiply(double_divide(inverse(inverse(X_22)),X_29),X_29) != inverse(X_22)
| multiply(double_divide(X_22,X_29),X_29) = inverse(X_22) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_245]) ).
cnf(refute_0_247,plain,
multiply(double_divide(X_22,X_29),X_29) = inverse(X_22),
inference(resolve,[$cnf( $equal(multiply(double_divide(inverse(inverse(X_22)),X_29),X_29),inverse(X_22)) )],[refute_0_244,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(double_divide(X_45,X_33),X_33) = inverse(X_45),
inference(subst,[],[refute_0_247:[bind(X_22,$fot(X_45)),bind(X_29,$fot(X_33))]]) ).
cnf(refute_0_249,plain,
( multiply(double_divide(X_45,X_33),X_33) != inverse(X_45)
| multiply(inverse(double_divide(X_45,X_33)),multiply(double_divide(X_45,X_33),X_33)) != X_33
| multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_45,X_33)),multiply(double_divide(X_45,X_33),X_33)),X_33) ),[0,1],$fot(inverse(X_45))]]) ).
cnf(refute_0_250,plain,
( multiply(inverse(double_divide(X_45,X_33)),multiply(double_divide(X_45,X_33),X_33)) != X_33
| multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) = X_33 ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_45,X_33),X_33),inverse(X_45)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) = X_33,
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_45,X_33)),multiply(double_divide(X_45,X_33),X_33)),X_33) )],[refute_0_204,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(double_divide(X_45,X_33)) = multiply(X_33,X_45),
inference(subst,[],[refute_0_80:[bind(X,$fot(X_33)),bind(Y,$fot(X_45))]]) ).
cnf(refute_0_253,plain,
multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) = multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)))]]) ).
cnf(refute_0_254,plain,
( multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) != multiply(inverse(double_divide(X_45,X_33)),inverse(X_45))
| inverse(double_divide(X_45,X_33)) != multiply(X_33,X_45)
| multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) = multiply(multiply(X_33,X_45),inverse(X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)),multiply(inverse(double_divide(X_45,X_33)),inverse(X_45))) ),[1,0],$fot(multiply(X_33,X_45))]]) ).
cnf(refute_0_255,plain,
( inverse(double_divide(X_45,X_33)) != multiply(X_33,X_45)
| multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) = multiply(multiply(X_33,X_45),inverse(X_45)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)),multiply(inverse(double_divide(X_45,X_33)),inverse(X_45))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) = multiply(multiply(X_33,X_45),inverse(X_45)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_45,X_33)),multiply(X_33,X_45)) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
( multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) != X_33
| multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) != multiply(multiply(X_33,X_45),inverse(X_45))
| multiply(multiply(X_33,X_45),inverse(X_45)) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)),X_33) ),[0],$fot(multiply(multiply(X_33,X_45),inverse(X_45)))]]) ).
cnf(refute_0_258,plain,
( multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)) != X_33
| multiply(multiply(X_33,X_45),inverse(X_45)) = X_33 ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)),multiply(multiply(X_33,X_45),inverse(X_45))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(multiply(X_33,X_45),inverse(X_45)) = X_33,
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_45,X_33)),inverse(X_45)),X_33) )],[refute_0_251,refute_0_258]) ).
cnf(refute_0_260,plain,
multiply(multiply(double_divide(X_22,X_48),X_48),inverse(X_48)) = double_divide(X_22,X_48),
inference(subst,[],[refute_0_259:[bind(X_33,$fot(double_divide(X_22,X_48))),bind(X_45,$fot(X_48))]]) ).
cnf(refute_0_261,plain,
multiply(double_divide(X_22,X_48),X_48) = inverse(X_22),
inference(subst,[],[refute_0_247:[bind(X_29,$fot(X_48))]]) ).
cnf(refute_0_262,plain,
( multiply(multiply(double_divide(X_22,X_48),X_48),inverse(X_48)) != double_divide(X_22,X_48)
| multiply(double_divide(X_22,X_48),X_48) != inverse(X_22)
| multiply(inverse(X_22),inverse(X_48)) = double_divide(X_22,X_48) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(double_divide(X_22,X_48),X_48),inverse(X_48)),double_divide(X_22,X_48)) ),[0,0],$fot(inverse(X_22))]]) ).
cnf(refute_0_263,plain,
( multiply(multiply(double_divide(X_22,X_48),X_48),inverse(X_48)) != double_divide(X_22,X_48)
| multiply(inverse(X_22),inverse(X_48)) = double_divide(X_22,X_48) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_22,X_48),X_48),inverse(X_22)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(inverse(X_22),inverse(X_48)) = double_divide(X_22,X_48),
inference(resolve,[$cnf( $equal(multiply(multiply(double_divide(X_22,X_48),X_48),inverse(X_48)),double_divide(X_22,X_48)) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
multiply(inverse(inverse(X_22)),inverse(X_50)) = double_divide(inverse(X_22),X_50),
inference(subst,[],[refute_0_264:[bind(X_22,$fot(inverse(X_22))),bind(X_48,$fot(X_50))]]) ).
cnf(refute_0_266,plain,
( multiply(inverse(inverse(X_22)),inverse(X_50)) != double_divide(inverse(X_22),X_50)
| inverse(inverse(X_22)) != X_22
| multiply(X_22,inverse(X_50)) = double_divide(inverse(X_22),X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_22)),inverse(X_50)),double_divide(inverse(X_22),X_50)) ),[0,0],$fot(X_22)]]) ).
cnf(refute_0_267,plain,
( multiply(inverse(inverse(X_22)),inverse(X_50)) != double_divide(inverse(X_22),X_50)
| multiply(X_22,inverse(X_50)) = double_divide(inverse(X_22),X_50) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_266]) ).
cnf(refute_0_268,plain,
multiply(X_22,inverse(X_50)) = double_divide(inverse(X_22),X_50),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_22)),inverse(X_50)),double_divide(inverse(X_22),X_50)) )],[refute_0_265,refute_0_267]) ).
cnf(refute_0_269,plain,
( multiply(X_22,inverse(X_50)) != double_divide(inverse(X_22),X_50)
| double_divide(inverse(X_22),X_50) = multiply(X_22,inverse(X_50)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_22,inverse(X_50)))),bind(Y0,$fot(double_divide(inverse(X_22),X_50)))]]) ).
cnf(refute_0_270,plain,
double_divide(inverse(X_22),X_50) = multiply(X_22,inverse(X_50)),
inference(resolve,[$cnf( $equal(multiply(X_22,inverse(X_50)),double_divide(inverse(X_22),X_50)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
double_divide(inverse(X_12),inverse(X_10)) = multiply(X_12,inverse(inverse(X_10))),
inference(subst,[],[refute_0_270:[bind(X_22,$fot(X_12)),bind(X_50,$fot(inverse(X_10)))]]) ).
cnf(refute_0_272,plain,
( multiply(X_12,inverse(inverse(X_10))) != multiply(X_12,X_10)
| double_divide(inverse(X_12),inverse(X_10)) != multiply(X_12,inverse(inverse(X_10)))
| double_divide(inverse(X_12),inverse(X_10)) = multiply(X_12,X_10) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(inverse(X_12),inverse(X_10)))),bind(Y0,$fot(multiply(X_12,inverse(inverse(X_10))))),bind(Z0,$fot(multiply(X_12,X_10)))]]) ).
cnf(refute_0_273,plain,
( multiply(X_12,inverse(inverse(X_10))) != multiply(X_12,X_10)
| double_divide(inverse(X_12),inverse(X_10)) = multiply(X_12,X_10) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(X_10)),multiply(X_12,inverse(inverse(X_10)))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
double_divide(inverse(X_12),inverse(X_10)) = multiply(X_12,X_10),
inference(resolve,[$cnf( $equal(multiply(X_12,inverse(inverse(X_10))),multiply(X_12,X_10)) )],[refute_0_199,refute_0_273]) ).
cnf(refute_0_275,plain,
double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))))]]) ).
cnf(refute_0_276,plain,
( double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) != double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10)))
| double_divide(inverse(X_12),inverse(X_10)) != multiply(X_12,X_10)
| double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))),double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10)))) ),[1,1],$fot(multiply(X_12,X_10))]]) ).
cnf(refute_0_277,plain,
( double_divide(inverse(X_12),inverse(X_10)) != multiply(X_12,X_10)
| double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))),double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_12),inverse(X_10)),multiply(X_12,X_10)) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
multiply(inverse(X_49),inverse(inverse(X_22))) = double_divide(X_49,inverse(X_22)),
inference(subst,[],[refute_0_264:[bind(X_22,$fot(X_49)),bind(X_48,$fot(inverse(X_22)))]]) ).
cnf(refute_0_280,plain,
( multiply(inverse(X_49),inverse(inverse(X_22))) != double_divide(X_49,inverse(X_22))
| inverse(inverse(X_22)) != X_22
| multiply(inverse(X_49),X_22) = double_divide(X_49,inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_49),inverse(inverse(X_22))),double_divide(X_49,inverse(X_22))) ),[0,1],$fot(X_22)]]) ).
cnf(refute_0_281,plain,
( multiply(inverse(X_49),inverse(inverse(X_22))) != double_divide(X_49,inverse(X_22))
| multiply(inverse(X_49),X_22) = double_divide(X_49,inverse(X_22)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_22)),X_22) )],[refute_0_164,refute_0_280]) ).
cnf(refute_0_282,plain,
multiply(inverse(X_49),X_22) = double_divide(X_49,inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),inverse(inverse(X_22))),double_divide(X_49,inverse(X_22))) )],[refute_0_279,refute_0_281]) ).
cnf(refute_0_283,plain,
( multiply(inverse(X_49),X_22) != double_divide(X_49,inverse(X_22))
| double_divide(X_49,inverse(X_22)) = multiply(inverse(X_49),X_22) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_49),X_22))),bind(Y0,$fot(double_divide(X_49,inverse(X_22))))]]) ).
cnf(refute_0_284,plain,
double_divide(X_49,inverse(X_22)) = multiply(inverse(X_49),X_22),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),X_22),double_divide(X_49,inverse(X_22))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
double_divide(X_10,inverse(X)) = multiply(inverse(X_10),X),
inference(subst,[],[refute_0_284:[bind(X_22,$fot(X)),bind(X_49,$fot(X_10))]]) ).
cnf(refute_0_286,plain,
double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) = double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))))]]) ).
cnf(refute_0_287,plain,
( double_divide(X_10,inverse(X)) != multiply(inverse(X_10),X)
| double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) != double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))
| double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) ),[1,0],$fot(multiply(inverse(X_10),X))]]) ).
cnf(refute_0_288,plain,
( double_divide(X_10,inverse(X)) != multiply(inverse(X_10),X)
| double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))),
inference(resolve,[$cnf( $equal(double_divide(X_10,inverse(X)),multiply(inverse(X_10),X)) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) != double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))
| double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) != double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10)))
| double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))))),bind(Y0,$fot(double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))))),bind(Z0,$fot(double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))))]]) ).
cnf(refute_0_291,plain,
( double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))) != double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))
| double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) = double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_10),X),double_divide(inverse(X_12),inverse(X_10))),double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))) )],[refute_0_278,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),
introduced(tautology,[refl,[$fot(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))))]]) ).
cnf(refute_0_294,plain,
( multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) != multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))))
| double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) != double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))
| multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))))) ),[1,1],$fot(double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)))]]) ).
cnf(refute_0_295,plain,
( double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))) != double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))
| multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) = multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10))),double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))) )],[refute_0_292,refute_0_295]) ).
cnf(refute_0_297,plain,
( multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) != multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)))
| multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) != inverse(X_12)
| multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))) = inverse(X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),inverse(X_12)) ),[0],$fot(multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))))]]) ).
cnf(refute_0_298,plain,
( multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))) != inverse(X_12)
| multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))) = inverse(X_12) ),
inference(resolve,[$cnf( $equal(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(X,double_divide(multiply(inverse(X_10),X),multiply(X_12,X_10))) = inverse(X_12),
inference(resolve,[$cnf( $equal(multiply(X,double_divide(double_divide(X_10,inverse(X)),double_divide(inverse(X_12),inverse(X_10)))),inverse(X_12)) )],[refute_0_194,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))) = inverse(X_59),
inference(subst,[],[refute_0_299:[bind(X,$fot(inverse(X_31))),bind(X_10,$fot(X_58)),bind(X_12,$fot(X_59))]]) ).
cnf(refute_0_301,plain,
( multiply(X_31,multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)))) != double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))
| multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))) != inverse(X_59)
| multiply(X_31,inverse(X_59)) = double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)))),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))) ),[0,1],$fot(inverse(X_59))]]) ).
cnf(refute_0_302,plain,
( multiply(X_31,multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)))) != double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))
| multiply(X_31,inverse(X_59)) = double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))),inverse(X_59)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(X_31,inverse(X_59)) = double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_31,multiply(inverse(X_31),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)))),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))) )],[refute_0_189,refute_0_302]) ).
cnf(refute_0_304,plain,
multiply(inverse(X_58),inverse(X_31)) = double_divide(X_58,X_31),
inference(subst,[],[refute_0_264:[bind(X_22,$fot(X_58)),bind(X_48,$fot(X_31))]]) ).
cnf(refute_0_305,plain,
double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) = double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)),
introduced(tautology,[refl,[$fot(double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)))]]) ).
cnf(refute_0_306,plain,
( multiply(inverse(X_58),inverse(X_31)) != double_divide(X_58,X_31)
| double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) != double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))
| double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) = double_divide(double_divide(X_58,X_31),multiply(X_59,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))) ),[1,0],$fot(double_divide(X_58,X_31))]]) ).
cnf(refute_0_307,plain,
( multiply(inverse(X_58),inverse(X_31)) != double_divide(X_58,X_31)
| double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) = double_divide(double_divide(X_58,X_31),multiply(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) = double_divide(double_divide(X_58,X_31),multiply(X_59,X_58)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_58),inverse(X_31)),double_divide(X_58,X_31)) )],[refute_0_304,refute_0_307]) ).
cnf(refute_0_309,plain,
( multiply(X_31,inverse(X_59)) != double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))
| double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)) != double_divide(double_divide(X_58,X_31),multiply(X_59,X_58))
| multiply(X_31,inverse(X_59)) = double_divide(double_divide(X_58,X_31),multiply(X_59,X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_31,inverse(X_59)),double_divide(double_divide(X_58,X_31),multiply(X_59,X_58))) ),[0],$fot(double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)))]]) ).
cnf(refute_0_310,plain,
( multiply(X_31,inverse(X_59)) != double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))
| multiply(X_31,inverse(X_59)) = double_divide(double_divide(X_58,X_31),multiply(X_59,X_58)) ),
inference(resolve,[$cnf( $equal(double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58)),double_divide(double_divide(X_58,X_31),multiply(X_59,X_58))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
multiply(X_31,inverse(X_59)) = double_divide(double_divide(X_58,X_31),multiply(X_59,X_58)),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(X_59)),double_divide(multiply(inverse(X_58),inverse(X_31)),multiply(X_59,X_58))) )],[refute_0_303,refute_0_310]) ).
cnf(refute_0_312,plain,
multiply(X_66,inverse(double_divide(X_22,X_67))) = double_divide(double_divide(X_67,X_66),multiply(double_divide(X_22,X_67),X_67)),
inference(subst,[],[refute_0_311:[bind(X_31,$fot(X_66)),bind(X_58,$fot(X_67)),bind(X_59,$fot(double_divide(X_22,X_67)))]]) ).
cnf(refute_0_313,plain,
multiply(double_divide(X_22,X_67),X_67) = inverse(X_22),
inference(subst,[],[refute_0_247:[bind(X_29,$fot(X_67))]]) ).
cnf(refute_0_314,plain,
( multiply(X_66,inverse(double_divide(X_22,X_67))) != double_divide(double_divide(X_67,X_66),multiply(double_divide(X_22,X_67),X_67))
| multiply(double_divide(X_22,X_67),X_67) != inverse(X_22)
| multiply(X_66,inverse(double_divide(X_22,X_67))) = double_divide(double_divide(X_67,X_66),inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,inverse(double_divide(X_22,X_67))),double_divide(double_divide(X_67,X_66),multiply(double_divide(X_22,X_67),X_67))) ),[1,1],$fot(inverse(X_22))]]) ).
cnf(refute_0_315,plain,
( multiply(X_66,inverse(double_divide(X_22,X_67))) != double_divide(double_divide(X_67,X_66),multiply(double_divide(X_22,X_67),X_67))
| multiply(X_66,inverse(double_divide(X_22,X_67))) = double_divide(double_divide(X_67,X_66),inverse(X_22)) ),
inference(resolve,[$cnf( $equal(multiply(double_divide(X_22,X_67),X_67),inverse(X_22)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(X_66,inverse(double_divide(X_22,X_67))) = double_divide(double_divide(X_67,X_66),inverse(X_22)),
inference(resolve,[$cnf( $equal(multiply(X_66,inverse(double_divide(X_22,X_67))),double_divide(double_divide(X_67,X_66),multiply(double_divide(X_22,X_67),X_67))) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
inverse(double_divide(X_22,X_67)) = multiply(X_67,X_22),
inference(subst,[],[refute_0_80:[bind(X,$fot(X_67)),bind(Y,$fot(X_22))]]) ).
cnf(refute_0_318,plain,
multiply(X_66,inverse(double_divide(X_22,X_67))) = multiply(X_66,inverse(double_divide(X_22,X_67))),
introduced(tautology,[refl,[$fot(multiply(X_66,inverse(double_divide(X_22,X_67))))]]) ).
cnf(refute_0_319,plain,
( multiply(X_66,inverse(double_divide(X_22,X_67))) != multiply(X_66,inverse(double_divide(X_22,X_67)))
| inverse(double_divide(X_22,X_67)) != multiply(X_67,X_22)
| multiply(X_66,inverse(double_divide(X_22,X_67))) = multiply(X_66,multiply(X_67,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,inverse(double_divide(X_22,X_67))),multiply(X_66,inverse(double_divide(X_22,X_67)))) ),[1,1],$fot(multiply(X_67,X_22))]]) ).
cnf(refute_0_320,plain,
( inverse(double_divide(X_22,X_67)) != multiply(X_67,X_22)
| multiply(X_66,inverse(double_divide(X_22,X_67))) = multiply(X_66,multiply(X_67,X_22)) ),
inference(resolve,[$cnf( $equal(multiply(X_66,inverse(double_divide(X_22,X_67))),multiply(X_66,inverse(double_divide(X_22,X_67)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
multiply(X_66,inverse(double_divide(X_22,X_67))) = multiply(X_66,multiply(X_67,X_22)),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_22,X_67)),multiply(X_67,X_22)) )],[refute_0_317,refute_0_320]) ).
cnf(refute_0_322,plain,
( multiply(X_66,inverse(double_divide(X_22,X_67))) != multiply(X_66,multiply(X_67,X_22))
| multiply(X_66,inverse(double_divide(X_22,X_67))) != double_divide(double_divide(X_67,X_66),inverse(X_22))
| multiply(X_66,multiply(X_67,X_22)) = double_divide(double_divide(X_67,X_66),inverse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_66,inverse(double_divide(X_22,X_67))),double_divide(double_divide(X_67,X_66),inverse(X_22))) ),[0],$fot(multiply(X_66,multiply(X_67,X_22)))]]) ).
cnf(refute_0_323,plain,
( multiply(X_66,inverse(double_divide(X_22,X_67))) != double_divide(double_divide(X_67,X_66),inverse(X_22))
| multiply(X_66,multiply(X_67,X_22)) = double_divide(double_divide(X_67,X_66),inverse(X_22)) ),
inference(resolve,[$cnf( $equal(multiply(X_66,inverse(double_divide(X_22,X_67))),multiply(X_66,multiply(X_67,X_22))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
inverse(double_divide(X_67,X_66)) = multiply(X_66,X_67),
inference(subst,[],[refute_0_80:[bind(X,$fot(X_66)),bind(Y,$fot(X_67))]]) ).
cnf(refute_0_325,plain,
multiply(inverse(double_divide(X_67,X_66)),X_22) = multiply(inverse(double_divide(X_67,X_66)),X_22),
introduced(tautology,[refl,[$fot(multiply(inverse(double_divide(X_67,X_66)),X_22))]]) ).
cnf(refute_0_326,plain,
( multiply(inverse(double_divide(X_67,X_66)),X_22) != multiply(inverse(double_divide(X_67,X_66)),X_22)
| inverse(double_divide(X_67,X_66)) != multiply(X_66,X_67)
| multiply(inverse(double_divide(X_67,X_66)),X_22) = multiply(multiply(X_66,X_67),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(double_divide(X_67,X_66)),X_22),multiply(inverse(double_divide(X_67,X_66)),X_22)) ),[1,0],$fot(multiply(X_66,X_67))]]) ).
cnf(refute_0_327,plain,
( inverse(double_divide(X_67,X_66)) != multiply(X_66,X_67)
| multiply(inverse(double_divide(X_67,X_66)),X_22) = multiply(multiply(X_66,X_67),X_22) ),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_67,X_66)),X_22),multiply(inverse(double_divide(X_67,X_66)),X_22)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
multiply(inverse(double_divide(X_67,X_66)),X_22) = multiply(multiply(X_66,X_67),X_22),
inference(resolve,[$cnf( $equal(inverse(double_divide(X_67,X_66)),multiply(X_66,X_67)) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
double_divide(double_divide(X_67,X_66),inverse(X_22)) = multiply(inverse(double_divide(X_67,X_66)),X_22),
inference(subst,[],[refute_0_284:[bind(X_49,$fot(double_divide(X_67,X_66)))]]) ).
cnf(refute_0_330,plain,
( multiply(inverse(double_divide(X_67,X_66)),X_22) != multiply(multiply(X_66,X_67),X_22)
| double_divide(double_divide(X_67,X_66),inverse(X_22)) != multiply(inverse(double_divide(X_67,X_66)),X_22)
| double_divide(double_divide(X_67,X_66),inverse(X_22)) = multiply(multiply(X_66,X_67),X_22) ),
inference(subst,[],[refute_0_31:[bind(X0,$fot(double_divide(double_divide(X_67,X_66),inverse(X_22)))),bind(Y0,$fot(multiply(inverse(double_divide(X_67,X_66)),X_22))),bind(Z0,$fot(multiply(multiply(X_66,X_67),X_22)))]]) ).
cnf(refute_0_331,plain,
( multiply(inverse(double_divide(X_67,X_66)),X_22) != multiply(multiply(X_66,X_67),X_22)
| double_divide(double_divide(X_67,X_66),inverse(X_22)) = multiply(multiply(X_66,X_67),X_22) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_67,X_66),inverse(X_22)),multiply(inverse(double_divide(X_67,X_66)),X_22)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
double_divide(double_divide(X_67,X_66),inverse(X_22)) = multiply(multiply(X_66,X_67),X_22),
inference(resolve,[$cnf( $equal(multiply(inverse(double_divide(X_67,X_66)),X_22),multiply(multiply(X_66,X_67),X_22)) )],[refute_0_328,refute_0_331]) ).
cnf(refute_0_333,plain,
( multiply(X_66,multiply(X_67,X_22)) != double_divide(double_divide(X_67,X_66),inverse(X_22))
| double_divide(double_divide(X_67,X_66),inverse(X_22)) != multiply(multiply(X_66,X_67),X_22)
| multiply(X_66,multiply(X_67,X_22)) = multiply(multiply(X_66,X_67),X_22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_66,multiply(X_67,X_22)),multiply(multiply(X_66,X_67),X_22)) ),[0],$fot(double_divide(double_divide(X_67,X_66),inverse(X_22)))]]) ).
cnf(refute_0_334,plain,
( multiply(X_66,multiply(X_67,X_22)) != double_divide(double_divide(X_67,X_66),inverse(X_22))
| multiply(X_66,multiply(X_67,X_22)) = multiply(multiply(X_66,X_67),X_22) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_67,X_66),inverse(X_22)),multiply(multiply(X_66,X_67),X_22)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
( multiply(X_66,inverse(double_divide(X_22,X_67))) != double_divide(double_divide(X_67,X_66),inverse(X_22))
| multiply(X_66,multiply(X_67,X_22)) = multiply(multiply(X_66,X_67),X_22) ),
inference(resolve,[$cnf( $equal(multiply(X_66,multiply(X_67,X_22)),double_divide(double_divide(X_67,X_66),inverse(X_22))) )],[refute_0_323,refute_0_334]) ).
cnf(refute_0_336,plain,
multiply(X_66,multiply(X_67,X_22)) = multiply(multiply(X_66,X_67),X_22),
inference(resolve,[$cnf( $equal(multiply(X_66,inverse(double_divide(X_22,X_67))),double_divide(double_divide(X_67,X_66),inverse(X_22))) )],[refute_0_316,refute_0_335]) ).
cnf(refute_0_337,plain,
( multiply(X_66,multiply(X_67,X_22)) != multiply(multiply(X_66,X_67),X_22)
| multiply(multiply(X_66,X_67),X_22) = multiply(X_66,multiply(X_67,X_22)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_66,multiply(X_67,X_22)))),bind(Y0,$fot(multiply(multiply(X_66,X_67),X_22)))]]) ).
cnf(refute_0_338,plain,
multiply(multiply(X_66,X_67),X_22) = multiply(X_66,multiply(X_67,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_66,multiply(X_67,X_22)),multiply(multiply(X_66,X_67),X_22)) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)),
inference(subst,[],[refute_0_338:[bind(X_22,$fot(c3)),bind(X_66,$fot(a3)),bind(X_67,$fot(b3))]]) ).
cnf(refute_0_340,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a3,multiply(b3,c3)) != 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(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_341,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(resolve,[$cnf( $equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) )],[refute_0_341,refute_0_176]) ).
cnf(refute_0_343,plain,
multiply(a3,multiply(b3,c3)) = multiply(a3,multiply(b3,c3)),
introduced(tautology,[refl,[$fot(multiply(a3,multiply(b3,c3)))]]) ).
cnf(refute_0_344,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a3,multiply(b3,c3)),multiply(a3,multiply(b3,c3))) )],[refute_0_343,refute_0_342]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP075-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n014.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 14 00:14:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.41 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41
% 0.19/0.41 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.47
%------------------------------------------------------------------------------