TSTP Solution File: GRP570-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP570-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:42:25 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 38
% Syntax : Number of clauses : 127 ( 67 unt; 0 nHn; 74 RR)
% Number of literals : 215 ( 214 equ; 91 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = B ).
cnf(multiply,axiom,
multiply(A,B) = double_divide(double_divide(B,A),identity) ).
cnf(inverse,axiom,
inverse(A) = double_divide(A,identity) ).
cnf(identity,axiom,
identity = double_divide(A,inverse(A)) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(identity,a2) != a2 ).
cnf(refute_0_0,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_1,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_2,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( inverse(A) != double_divide(A,identity)
| double_divide(A,identity) = inverse(A) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(A))),bind(Y,$fot(double_divide(A,identity)))]]) ).
cnf(refute_0_4,plain,
double_divide(A,identity) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(A),double_divide(A,identity)) )],[inverse,refute_0_3]) ).
cnf(refute_0_5,plain,
double_divide(double_divide(B,A),identity) = inverse(double_divide(B,A)),
inference(subst,[],[refute_0_4:[bind(A,$fot(double_divide(B,A)))]]) ).
cnf(refute_0_6,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| double_divide(double_divide(B,A),identity) != inverse(double_divide(B,A))
| multiply(A,B) = inverse(double_divide(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(A,B),inverse(double_divide(B,A))) ),[0],$fot(double_divide(double_divide(B,A),identity))]]) ).
cnf(refute_0_7,plain,
( multiply(A,B) != double_divide(double_divide(B,A),identity)
| multiply(A,B) = inverse(double_divide(B,A)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,A),identity),inverse(double_divide(B,A))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(A,B) = inverse(double_divide(B,A)),
inference(resolve,[$cnf( $equal(multiply(A,B),double_divide(double_divide(B,A),identity)) )],[multiply,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(identity,X_3) = inverse(double_divide(X_3,identity)),
inference(subst,[],[refute_0_8:[bind(A,$fot(identity)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_10,plain,
inverse(X_3) = double_divide(X_3,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_3))]]) ).
cnf(refute_0_11,plain,
( inverse(X_3) != double_divide(X_3,identity)
| double_divide(X_3,identity) = inverse(X_3) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_3))),bind(Y,$fot(double_divide(X_3,identity)))]]) ).
cnf(refute_0_12,plain,
double_divide(X_3,identity) = inverse(X_3),
inference(resolve,[$cnf( $equal(inverse(X_3),double_divide(X_3,identity)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| double_divide(X_3,identity) != inverse(X_3)
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) ),[1,0],$fot(inverse(X_3))]]) ).
cnf(refute_0_14,plain,
( multiply(identity,X_3) != inverse(double_divide(X_3,identity))
| multiply(identity,X_3) = inverse(inverse(X_3)) ),
inference(resolve,[$cnf( $equal(double_divide(X_3,identity),inverse(X_3)) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(identity,X_3) = inverse(inverse(X_3)),
inference(resolve,[$cnf( $equal(multiply(identity,X_3),inverse(double_divide(X_3,identity))) )],[refute_0_9,refute_0_14]) ).
cnf(refute_0_16,plain,
multiply(identity,a2) = inverse(inverse(a2)),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(a2))]]) ).
cnf(refute_0_17,plain,
( multiply(identity,a2) != inverse(inverse(a2))
| inverse(inverse(a2)) != a2
| multiply(identity,a2) = a2 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(identity,a2),a2) ),[0],$fot(inverse(inverse(a2)))]]) ).
cnf(refute_0_18,plain,
( inverse(inverse(a2)) != a2
| multiply(identity,a2) = a2 ),
inference(resolve,[$cnf( $equal(multiply(identity,a2),inverse(inverse(a2))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
inverse(inverse(a2)) != a2,
inference(resolve,[$cnf( $equal(multiply(identity,a2),a2) )],[refute_0_18,prove_these_axioms_2]) ).
cnf(refute_0_20,plain,
double_divide(identity,identity) = inverse(identity),
inference(subst,[],[refute_0_4:[bind(A,$fot(identity))]]) ).
cnf(refute_0_21,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)))]]) ).
cnf(refute_0_22,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))
| double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))) ),[1,1],$fot(inverse(identity))]]) ).
cnf(refute_0_23,plain,
( double_divide(identity,identity) != inverse(identity)
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(identity,identity),inverse(identity)) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
double_divide(C,identity) = inverse(C),
inference(subst,[],[refute_0_4:[bind(A,$fot(C))]]) ).
cnf(refute_0_26,plain,
double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))]]) ).
cnf(refute_0_27,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_28,plain,
( double_divide(C,identity) != inverse(C)
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) = double_divide(double_divide(B,double_divide(A,C)),inverse(C)),
inference(resolve,[$cnf( $equal(double_divide(C,identity),inverse(C)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),
introduced(tautology,[refl,[$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))))]]) ).
cnf(refute_0_31,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))
| double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))) ),[1,1],$fot(double_divide(double_divide(B,double_divide(A,C)),inverse(C)))]]) ).
cnf(refute_0_32,plain,
( double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)) != double_divide(double_divide(B,double_divide(A,C)),inverse(C))
| double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))) ),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) = double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),
inference(resolve,[$cnf( $equal(double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity)),double_divide(double_divide(B,double_divide(A,C)),inverse(C))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)))]]) ).
cnf(refute_0_35,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))) ),[1,0],$fot(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))))]]) ).
cnf(refute_0_36,plain,
( double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))) != double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),
inference(resolve,[$cnf( $equal(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C)))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_39,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_2,refute_0_38]) ).
cnf(refute_0_40,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)))),bind(Y,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)))),bind(Z,$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))))]]) ).
cnf(refute_0_41,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) = double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))) )],[refute_0_24,refute_0_41]) ).
cnf(refute_0_43,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) = B ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),B) ),[0],$fot(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)))]]) ).
cnf(refute_0_44,plain,
( double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)) != B
| double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) = B ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),inverse(C))),inverse(identity)) = B,
inference(resolve,[$cnf( $equal(double_divide(double_divide(A,double_divide(double_divide(B,double_divide(A,C)),double_divide(C,identity))),double_divide(identity,identity)),B) )],[single_axiom,refute_0_44]) ).
cnf(refute_0_46,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) = X_11,
inference(subst,[],[refute_0_45:[bind(A,$fot(X_10)),bind(B,$fot(X_11)),bind(C,$fot(identity))]]) ).
cnf(refute_0_47,plain,
inverse(X_10) = double_divide(X_10,identity),
inference(subst,[],[inverse:[bind(A,$fot(X_10))]]) ).
cnf(refute_0_48,plain,
( inverse(X_10) != double_divide(X_10,identity)
| double_divide(X_10,identity) = inverse(X_10) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(double_divide(X_10,identity)))]]) ).
cnf(refute_0_49,plain,
double_divide(X_10,identity) = inverse(X_10),
inference(resolve,[$cnf( $equal(inverse(X_10),double_divide(X_10,identity)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( double_divide(X_10,identity) != inverse(X_10)
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) ),[0,0,1,0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_51,plain,
( double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)) != X_11
| double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11 ),
inference(resolve,[$cnf( $equal(double_divide(X_10,identity),inverse(X_10)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
double_divide(double_divide(X_10,double_divide(double_divide(X_11,inverse(X_10)),inverse(identity))),inverse(identity)) = X_11,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_10,double_divide(double_divide(X_11,double_divide(X_10,identity)),inverse(identity))),inverse(identity)),X_11) )],[refute_0_46,refute_0_51]) ).
cnf(refute_0_53,plain,
double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)) = X_13,
inference(subst,[],[refute_0_52:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_13))]]) ).
cnf(refute_0_54,plain,
identity = double_divide(X_13,inverse(X_13)),
inference(subst,[],[identity:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_55,plain,
( identity != double_divide(X_13,inverse(X_13))
| double_divide(X_13,inverse(X_13)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(X_13,inverse(X_13))))]]) ).
cnf(refute_0_56,plain,
double_divide(X_13,inverse(X_13)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(X_13,inverse(X_13))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( double_divide(X_13,inverse(X_13)) != identity
| double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)) != X_13
| double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)),X_13) ),[0,0,1,0],$fot(identity)]]) ).
cnf(refute_0_58,plain,
( double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)) != X_13
| double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(X_13,inverse(X_13)),identity) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(double_divide(X_13,inverse(X_13)),inverse(identity))),inverse(identity)),X_13) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
double_divide(X_13,identity) = inverse(X_13),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_13))]]) ).
cnf(refute_0_61,plain,
( identity != double_divide(A,inverse(A))
| double_divide(A,inverse(A)) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(double_divide(A,inverse(A))))]]) ).
cnf(refute_0_62,plain,
double_divide(A,inverse(A)) = identity,
inference(resolve,[$cnf( $equal(identity,double_divide(A,inverse(A))) )],[identity,refute_0_61]) ).
cnf(refute_0_63,plain,
double_divide(identity,inverse(identity)) = identity,
inference(subst,[],[refute_0_62:[bind(A,$fot(identity))]]) ).
cnf(refute_0_64,plain,
double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,double_divide(identity,inverse(identity))),
introduced(tautology,[refl,[$fot(double_divide(X_13,double_divide(identity,inverse(identity))))]]) ).
cnf(refute_0_65,plain,
( double_divide(X_13,double_divide(identity,inverse(identity))) != double_divide(X_13,double_divide(identity,inverse(identity)))
| double_divide(identity,inverse(identity)) != identity
| double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),double_divide(X_13,double_divide(identity,inverse(identity)))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_66,plain,
( double_divide(identity,inverse(identity)) != identity
| double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,identity) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),double_divide(X_13,double_divide(identity,inverse(identity)))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
double_divide(X_13,double_divide(identity,inverse(identity))) = double_divide(X_13,identity),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( double_divide(X_13,double_divide(identity,inverse(identity))) != double_divide(X_13,identity)
| double_divide(X_13,identity) != inverse(X_13)
| double_divide(X_13,double_divide(identity,inverse(identity))) = inverse(X_13) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(X_13,double_divide(identity,inverse(identity))))),bind(Y,$fot(double_divide(X_13,identity))),bind(Z,$fot(inverse(X_13)))]]) ).
cnf(refute_0_69,plain,
( double_divide(X_13,identity) != inverse(X_13)
| double_divide(X_13,double_divide(identity,inverse(identity))) = inverse(X_13) ),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),double_divide(X_13,identity)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
double_divide(X_13,double_divide(identity,inverse(identity))) = inverse(X_13),
inference(resolve,[$cnf( $equal(double_divide(X_13,identity),inverse(X_13)) )],[refute_0_60,refute_0_69]) ).
cnf(refute_0_71,plain,
double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)))]]) ).
cnf(refute_0_72,plain,
( double_divide(X_13,double_divide(identity,inverse(identity))) != inverse(X_13)
| double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity))
| double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity))) ),[1,0],$fot(inverse(X_13))]]) ).
cnf(refute_0_73,plain,
( double_divide(X_13,double_divide(identity,inverse(identity))) != inverse(X_13)
| double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
inference(resolve,[$cnf( $equal(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(X_13)) )],[refute_0_70,refute_0_73]) ).
cnf(refute_0_75,plain,
( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != X_13
| double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| double_divide(inverse(X_13),inverse(identity)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),X_13) ),[0],$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_76,plain,
( double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(identity)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
double_divide(inverse(X_13),inverse(identity)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(double_divide(X_13,double_divide(identity,inverse(identity))),inverse(identity)),X_13) )],[refute_0_59,refute_0_76]) ).
cnf(refute_0_78,plain,
double_divide(inverse(X_13),identity) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_13)))]]) ).
cnf(refute_0_79,plain,
double_divide(inverse(inverse(identity)),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_77:[bind(X_13,$fot(inverse(identity)))]]) ).
cnf(refute_0_80,plain,
double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)) = inverse(X_15),
inference(subst,[],[refute_0_52:[bind(X_10,$fot(identity)),bind(X_11,$fot(inverse(X_15)))]]) ).
cnf(refute_0_81,plain,
double_divide(inverse(X_15),inverse(identity)) = X_15,
inference(subst,[],[refute_0_77:[bind(X_13,$fot(X_15))]]) ).
cnf(refute_0_82,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_15)
| double_divide(inverse(X_15),inverse(identity)) != X_15
| double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = inverse(X_15) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_15)) ),[0,0,1,0],$fot(X_15)]]) ).
cnf(refute_0_83,plain,
( double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)) != inverse(X_15)
| double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = inverse(X_15) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_15),inverse(identity)),X_15) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
double_divide(double_divide(identity,double_divide(X_15,inverse(identity))),inverse(identity)) = inverse(X_15),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(double_divide(inverse(X_15),inverse(identity)),inverse(identity))),inverse(identity)),inverse(X_15)) )],[refute_0_80,refute_0_83]) ).
cnf(refute_0_85,plain,
double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) = inverse(identity),
inference(subst,[],[refute_0_84:[bind(X_15,$fot(identity))]]) ).
cnf(refute_0_86,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
| double_divide(identity,inverse(identity)) != identity
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) ),[0,0,1],$fot(identity)]]) ).
cnf(refute_0_87,plain,
( double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(identity,inverse(identity)),identity) )],[refute_0_63,refute_0_86]) ).
cnf(refute_0_88,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(identity,inverse(identity))),inverse(identity)),inverse(identity)) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) = inverse(inverse(X_13)),
inference(subst,[],[refute_0_84:[bind(X_15,$fot(inverse(X_13)))]]) ).
cnf(refute_0_90,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) ),[0,0,1],$fot(X_13)]]) ).
cnf(refute_0_91,plain,
( double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)) != inverse(inverse(X_13))
| double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_77,refute_0_90]) ).
cnf(refute_0_92,plain,
double_divide(double_divide(identity,X_13),inverse(identity)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,double_divide(inverse(X_13),inverse(identity))),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_89,refute_0_91]) ).
cnf(refute_0_93,plain,
double_divide(double_divide(identity,identity),inverse(identity)) = inverse(inverse(identity)),
inference(subst,[],[refute_0_92:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_94,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != inverse(identity)
| double_divide(double_divide(identity,identity),inverse(identity)) != inverse(inverse(identity))
| inverse(inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) ),[0],$fot(inverse(inverse(identity)))]]) ).
cnf(refute_0_95,plain,
( double_divide(double_divide(identity,identity),inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(inverse(identity))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
inverse(inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(double_divide(identity,identity),inverse(identity)),inverse(identity)) )],[refute_0_88,refute_0_95]) ).
cnf(refute_0_97,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| inverse(inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) ),[0,0],$fot(inverse(identity))]]) ).
cnf(refute_0_98,plain,
( double_divide(inverse(inverse(identity)),inverse(identity)) != inverse(identity)
| double_divide(inverse(identity),inverse(identity)) = inverse(identity) ),
inference(resolve,[$cnf( $equal(inverse(inverse(identity)),inverse(identity)) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
double_divide(inverse(identity),inverse(identity)) = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(inverse(identity)),inverse(identity)),inverse(identity)) )],[refute_0_79,refute_0_98]) ).
cnf(refute_0_100,plain,
double_divide(inverse(identity),inverse(identity)) = identity,
inference(subst,[],[refute_0_77:[bind(X_13,$fot(identity))]]) ).
cnf(refute_0_101,plain,
( double_divide(inverse(identity),inverse(identity)) != identity
| double_divide(inverse(identity),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) ),[0],$fot(identity)]]) ).
cnf(refute_0_102,plain,
( double_divide(inverse(identity),inverse(identity)) != inverse(identity)
| identity = inverse(identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),identity) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
identity = inverse(identity),
inference(resolve,[$cnf( $equal(double_divide(inverse(identity),inverse(identity)),inverse(identity)) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( identity != inverse(identity)
| inverse(identity) = identity ),
inference(subst,[],[refute_0_2:[bind(X,$fot(identity)),bind(Y,$fot(inverse(identity)))]]) ).
cnf(refute_0_105,plain,
inverse(identity) = identity,
inference(resolve,[$cnf( $equal(identity,inverse(identity)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),inverse(identity)),
introduced(tautology,[refl,[$fot(double_divide(inverse(X_13),inverse(identity)))]]) ).
cnf(refute_0_107,plain,
( double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),inverse(identity))
| inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_108,plain,
( inverse(identity) != identity
| double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),inverse(identity))) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
double_divide(inverse(X_13),inverse(identity)) = double_divide(inverse(X_13),identity),
inference(resolve,[$cnf( $equal(inverse(identity),identity) )],[refute_0_105,refute_0_108]) ).
cnf(refute_0_110,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) != double_divide(inverse(X_13),identity)
| double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(subst,[],[refute_0_39:[bind(X,$fot(double_divide(inverse(X_13),inverse(identity)))),bind(Y,$fot(double_divide(inverse(X_13),identity))),bind(Z,$fot(inverse(inverse(X_13))))]]) ).
cnf(refute_0_111,plain,
( double_divide(inverse(X_13),identity) != inverse(inverse(X_13))
| double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)) ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),double_divide(inverse(X_13),identity)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
double_divide(inverse(X_13),inverse(identity)) = inverse(inverse(X_13)),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),identity),inverse(inverse(X_13))) )],[refute_0_78,refute_0_111]) ).
cnf(refute_0_113,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| double_divide(inverse(X_13),inverse(identity)) != inverse(inverse(X_13))
| inverse(inverse(X_13)) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) ),[0],$fot(inverse(inverse(X_13)))]]) ).
cnf(refute_0_114,plain,
( double_divide(inverse(X_13),inverse(identity)) != X_13
| inverse(inverse(X_13)) = X_13 ),
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),inverse(inverse(X_13))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
inverse(inverse(X_13)) = X_13,
inference(resolve,[$cnf( $equal(double_divide(inverse(X_13),inverse(identity)),X_13) )],[refute_0_77,refute_0_114]) ).
cnf(refute_0_116,plain,
inverse(inverse(a2)) = a2,
inference(subst,[],[refute_0_115:[bind(X_13,$fot(a2))]]) ).
cnf(refute_0_117,plain,
( a2 != a2
| inverse(inverse(a2)) != a2
| inverse(inverse(a2)) = a2 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(a2)),a2) ),[0,0,0],$fot(a2)]]) ).
cnf(refute_0_118,plain,
( a2 != a2
| inverse(inverse(a2)) = a2 ),
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
a2 != a2,
inference(resolve,[$cnf( $equal(inverse(inverse(a2)),a2) )],[refute_0_118,refute_0_19]) ).
cnf(refute_0_120,plain,
a2 = a2,
introduced(tautology,[refl,[$fot(a2)]]) ).
cnf(refute_0_121,plain,
$false,
inference(resolve,[$cnf( $equal(a2,a2) )],[refute_0_120,refute_0_119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP570-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 22:09:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37
% 0.12/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.39
%------------------------------------------------------------------------------