TSTP Solution File: GRP165-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP165-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n007.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 10:37:08 EDT 2022
% Result : Unsatisfiable 0.79s 1.00s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of clauses : 73 ( 41 unt; 0 nHn; 43 RR)
% Number of literals : 119 ( 118 equ; 48 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 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 : 93 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ).
cnf(symmetry_of_glb,axiom,
greatest_lower_bound(X,Y) = greatest_lower_bound(Y,X) ).
cnf(monotony_glb1,axiom,
multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)) ).
cnf(lat1b_1,hypothesis,
greatest_lower_bound(a,identity) = identity ).
cnf(prove_lat1b,negated_conjecture,
greatest_lower_bound(a,multiply(a,a)) != a ).
cnf(refute_0_0,plain,
multiply(multiply(inverse(X_88),X_88),X_89) = multiply(inverse(X_88),multiply(X_88,X_89)),
inference(subst,[],[associativity:[bind(X,$fot(inverse(X_88))),bind(Y,$fot(X_88)),bind(Z,$fot(X_89))]]) ).
cnf(refute_0_1,plain,
multiply(inverse(X_88),X_88) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_88))]]) ).
cnf(refute_0_2,plain,
( multiply(multiply(inverse(X_88),X_88),X_89) != multiply(inverse(X_88),multiply(X_88,X_89))
| multiply(inverse(X_88),X_88) != identity
| multiply(identity,X_89) = multiply(inverse(X_88),multiply(X_88,X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_88),X_88),X_89),multiply(inverse(X_88),multiply(X_88,X_89))) ),[0,0],$fot(identity)]]) ).
cnf(refute_0_3,plain,
( multiply(multiply(inverse(X_88),X_88),X_89) != multiply(inverse(X_88),multiply(X_88,X_89))
| multiply(identity,X_89) = multiply(inverse(X_88),multiply(X_88,X_89)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_88),X_88),identity) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(identity,X_89) = multiply(inverse(X_88),multiply(X_88,X_89)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_88),X_88),X_89),multiply(inverse(X_88),multiply(X_88,X_89))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(identity,X_89) = X_89,
inference(subst,[],[left_identity:[bind(X,$fot(X_89))]]) ).
cnf(refute_0_6,plain,
( multiply(identity,X_89) != X_89
| multiply(identity,X_89) != multiply(inverse(X_88),multiply(X_88,X_89))
| X_89 = multiply(inverse(X_88),multiply(X_88,X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(identity,X_89),multiply(inverse(X_88),multiply(X_88,X_89))) ),[0],$fot(X_89)]]) ).
cnf(refute_0_7,plain,
( multiply(identity,X_89) != multiply(inverse(X_88),multiply(X_88,X_89))
| X_89 = multiply(inverse(X_88),multiply(X_88,X_89)) ),
inference(resolve,[$cnf( $equal(multiply(identity,X_89),X_89) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
X_89 = multiply(inverse(X_88),multiply(X_88,X_89)),
inference(resolve,[$cnf( $equal(multiply(identity,X_89),multiply(inverse(X_88),multiply(X_88,X_89))) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
X_91 = multiply(inverse(inverse(X_91)),multiply(inverse(X_91),X_91)),
inference(subst,[],[refute_0_8:[bind(X_88,$fot(inverse(X_91))),bind(X_89,$fot(X_91))]]) ).
cnf(refute_0_10,plain,
multiply(inverse(X_91),X_91) = identity,
inference(subst,[],[left_inverse:[bind(X,$fot(X_91))]]) ).
cnf(refute_0_11,plain,
( X_91 != multiply(inverse(inverse(X_91)),multiply(inverse(X_91),X_91))
| multiply(inverse(X_91),X_91) != identity
| X_91 = multiply(inverse(inverse(X_91)),identity) ),
introduced(tautology,[equality,[$cnf( $equal(X_91,multiply(inverse(inverse(X_91)),multiply(inverse(X_91),X_91))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_12,plain,
( X_91 != multiply(inverse(inverse(X_91)),multiply(inverse(X_91),X_91))
| X_91 = multiply(inverse(inverse(X_91)),identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_91),X_91),identity) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
X_91 = multiply(inverse(inverse(X_91)),identity),
inference(resolve,[$cnf( $equal(X_91,multiply(inverse(inverse(X_91)),multiply(inverse(X_91),X_91))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(X_90,X_91) = multiply(inverse(inverse(X_90)),multiply(inverse(X_90),multiply(X_90,X_91))),
inference(subst,[],[refute_0_8:[bind(X_88,$fot(inverse(X_90))),bind(X_89,$fot(multiply(X_90,X_91)))]]) ).
cnf(refute_0_15,plain,
X_91 = multiply(inverse(X_90),multiply(X_90,X_91)),
inference(subst,[],[refute_0_8:[bind(X_88,$fot(X_90)),bind(X_89,$fot(X_91))]]) ).
cnf(refute_0_16,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_17,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_18,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
( X_91 != multiply(inverse(X_90),multiply(X_90,X_91))
| multiply(inverse(X_90),multiply(X_90,X_91)) = X_91 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_91)),bind(Y0,$fot(multiply(inverse(X_90),multiply(X_90,X_91))))]]) ).
cnf(refute_0_20,plain,
multiply(inverse(X_90),multiply(X_90,X_91)) = X_91,
inference(resolve,[$cnf( $equal(X_91,multiply(inverse(X_90),multiply(X_90,X_91))) )],[refute_0_15,refute_0_19]) ).
cnf(refute_0_21,plain,
( multiply(X_90,X_91) != multiply(inverse(inverse(X_90)),multiply(inverse(X_90),multiply(X_90,X_91)))
| multiply(inverse(X_90),multiply(X_90,X_91)) != X_91
| multiply(X_90,X_91) = multiply(inverse(inverse(X_90)),X_91) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_90,X_91),multiply(inverse(inverse(X_90)),multiply(inverse(X_90),multiply(X_90,X_91)))) ),[1,1],$fot(X_91)]]) ).
cnf(refute_0_22,plain,
( multiply(X_90,X_91) != multiply(inverse(inverse(X_90)),multiply(inverse(X_90),multiply(X_90,X_91)))
| multiply(X_90,X_91) = multiply(inverse(inverse(X_90)),X_91) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_90),multiply(X_90,X_91)),X_91) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
multiply(X_90,X_91) = multiply(inverse(inverse(X_90)),X_91),
inference(resolve,[$cnf( $equal(multiply(X_90,X_91),multiply(inverse(inverse(X_90)),multiply(inverse(X_90),multiply(X_90,X_91)))) )],[refute_0_14,refute_0_22]) ).
cnf(refute_0_24,plain,
( multiply(X_90,X_91) != multiply(inverse(inverse(X_90)),X_91)
| multiply(inverse(inverse(X_90)),X_91) = multiply(X_90,X_91) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_90,X_91))),bind(Y0,$fot(multiply(inverse(inverse(X_90)),X_91)))]]) ).
cnf(refute_0_25,plain,
multiply(inverse(inverse(X_90)),X_91) = multiply(X_90,X_91),
inference(resolve,[$cnf( $equal(multiply(X_90,X_91),multiply(inverse(inverse(X_90)),X_91)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(inverse(inverse(X_91)),identity) = multiply(X_91,identity),
inference(subst,[],[refute_0_25:[bind(X_90,$fot(X_91)),bind(X_91,$fot(identity))]]) ).
cnf(refute_0_27,plain,
( X_91 != multiply(inverse(inverse(X_91)),identity)
| multiply(inverse(inverse(X_91)),identity) != multiply(X_91,identity)
| X_91 = multiply(X_91,identity) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_91,multiply(X_91,identity)) ),[0],$fot(multiply(inverse(inverse(X_91)),identity))]]) ).
cnf(refute_0_28,plain,
( X_91 != multiply(inverse(inverse(X_91)),identity)
| X_91 = multiply(X_91,identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_91)),identity),multiply(X_91,identity)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
X_91 = multiply(X_91,identity),
inference(resolve,[$cnf( $equal(X_91,multiply(inverse(inverse(X_91)),identity)) )],[refute_0_13,refute_0_28]) ).
cnf(refute_0_30,plain,
( X_91 != multiply(X_91,identity)
| multiply(X_91,identity) = X_91 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_91)),bind(Y0,$fot(multiply(X_91,identity)))]]) ).
cnf(refute_0_31,plain,
multiply(X_91,identity) = X_91,
inference(resolve,[$cnf( $equal(X_91,multiply(X_91,identity)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(a,identity) = a,
inference(subst,[],[refute_0_31:[bind(X_91,$fot(a))]]) ).
cnf(refute_0_33,plain,
multiply(a,greatest_lower_bound(a,identity)) = multiply(a,greatest_lower_bound(a,identity)),
introduced(tautology,[refl,[$fot(multiply(a,greatest_lower_bound(a,identity)))]]) ).
cnf(refute_0_34,plain,
( multiply(a,greatest_lower_bound(a,identity)) != multiply(a,greatest_lower_bound(a,identity))
| greatest_lower_bound(a,identity) != identity
| multiply(a,greatest_lower_bound(a,identity)) = multiply(a,identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(a,greatest_lower_bound(a,identity)),multiply(a,greatest_lower_bound(a,identity))) ),[1,1],$fot(identity)]]) ).
cnf(refute_0_35,plain,
( greatest_lower_bound(a,identity) != identity
| multiply(a,greatest_lower_bound(a,identity)) = multiply(a,identity) ),
inference(resolve,[$cnf( $equal(multiply(a,greatest_lower_bound(a,identity)),multiply(a,greatest_lower_bound(a,identity))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
multiply(a,greatest_lower_bound(a,identity)) = multiply(a,identity),
inference(resolve,[$cnf( $equal(greatest_lower_bound(a,identity),identity) )],[lat1b_1,refute_0_35]) ).
cnf(refute_0_37,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_38,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_18,refute_0_37]) ).
cnf(refute_0_39,plain,
( multiply(a,greatest_lower_bound(a,identity)) != multiply(a,identity)
| multiply(a,identity) != a
| multiply(a,greatest_lower_bound(a,identity)) = a ),
inference(subst,[],[refute_0_38:[bind(X0,$fot(multiply(a,greatest_lower_bound(a,identity)))),bind(Y0,$fot(multiply(a,identity))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_40,plain,
( multiply(a,identity) != a
| multiply(a,greatest_lower_bound(a,identity)) = a ),
inference(resolve,[$cnf( $equal(multiply(a,greatest_lower_bound(a,identity)),multiply(a,identity)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(a,greatest_lower_bound(a,identity)) = a,
inference(resolve,[$cnf( $equal(multiply(a,identity),a) )],[refute_0_32,refute_0_40]) ).
cnf(refute_0_42,plain,
multiply(X_153,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(multiply(X_153,X_154),multiply(X_153,identity)),
inference(subst,[],[monotony_glb1:[bind(X,$fot(X_153)),bind(Y,$fot(X_154)),bind(Z,$fot(identity))]]) ).
cnf(refute_0_43,plain,
X_153 = multiply(X_153,identity),
inference(subst,[],[refute_0_29:[bind(X_91,$fot(X_153))]]) ).
cnf(refute_0_44,plain,
( X_153 != multiply(X_153,identity)
| multiply(X_153,identity) = X_153 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_153)),bind(Y0,$fot(multiply(X_153,identity)))]]) ).
cnf(refute_0_45,plain,
multiply(X_153,identity) = X_153,
inference(resolve,[$cnf( $equal(X_153,multiply(X_153,identity)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiply(X_153,greatest_lower_bound(X_154,identity)) != greatest_lower_bound(multiply(X_153,X_154),multiply(X_153,identity))
| multiply(X_153,identity) != X_153
| multiply(X_153,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(multiply(X_153,X_154),X_153) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_153,greatest_lower_bound(X_154,identity)),greatest_lower_bound(multiply(X_153,X_154),multiply(X_153,identity))) ),[1,1],$fot(X_153)]]) ).
cnf(refute_0_47,plain,
( multiply(X_153,greatest_lower_bound(X_154,identity)) != greatest_lower_bound(multiply(X_153,X_154),multiply(X_153,identity))
| multiply(X_153,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(multiply(X_153,X_154),X_153) ),
inference(resolve,[$cnf( $equal(multiply(X_153,identity),X_153) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(X_153,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(multiply(X_153,X_154),X_153),
inference(resolve,[$cnf( $equal(multiply(X_153,greatest_lower_bound(X_154,identity)),greatest_lower_bound(multiply(X_153,X_154),multiply(X_153,identity))) )],[refute_0_42,refute_0_47]) ).
cnf(refute_0_49,plain,
( greatest_lower_bound(X,Y) != greatest_lower_bound(Y,X)
| greatest_lower_bound(Y,X) = greatest_lower_bound(X,Y) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(greatest_lower_bound(X,Y))),bind(Y0,$fot(greatest_lower_bound(Y,X)))]]) ).
cnf(refute_0_50,plain,
greatest_lower_bound(Y,X) = greatest_lower_bound(X,Y),
inference(resolve,[$cnf( $equal(greatest_lower_bound(X,Y),greatest_lower_bound(Y,X)) )],[symmetry_of_glb,refute_0_49]) ).
cnf(refute_0_51,plain,
greatest_lower_bound(multiply(X_153,X_154),X_153) = greatest_lower_bound(X_153,multiply(X_153,X_154)),
inference(subst,[],[refute_0_50:[bind(X,$fot(X_153)),bind(Y,$fot(multiply(X_153,X_154)))]]) ).
cnf(refute_0_52,plain,
( multiply(X_153,greatest_lower_bound(X_154,identity)) != greatest_lower_bound(multiply(X_153,X_154),X_153)
| greatest_lower_bound(multiply(X_153,X_154),X_153) != greatest_lower_bound(X_153,multiply(X_153,X_154))
| multiply(X_153,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(X_153,multiply(X_153,X_154)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_153,greatest_lower_bound(X_154,identity)),greatest_lower_bound(X_153,multiply(X_153,X_154))) ),[0],$fot(greatest_lower_bound(multiply(X_153,X_154),X_153))]]) ).
cnf(refute_0_53,plain,
( multiply(X_153,greatest_lower_bound(X_154,identity)) != greatest_lower_bound(multiply(X_153,X_154),X_153)
| multiply(X_153,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(X_153,multiply(X_153,X_154)) ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(multiply(X_153,X_154),X_153),greatest_lower_bound(X_153,multiply(X_153,X_154))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
multiply(X_153,greatest_lower_bound(X_154,identity)) = greatest_lower_bound(X_153,multiply(X_153,X_154)),
inference(resolve,[$cnf( $equal(multiply(X_153,greatest_lower_bound(X_154,identity)),greatest_lower_bound(multiply(X_153,X_154),X_153)) )],[refute_0_48,refute_0_53]) ).
cnf(refute_0_55,plain,
( multiply(X_153,greatest_lower_bound(X_154,identity)) != greatest_lower_bound(X_153,multiply(X_153,X_154))
| greatest_lower_bound(X_153,multiply(X_153,X_154)) = multiply(X_153,greatest_lower_bound(X_154,identity)) ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(multiply(X_153,greatest_lower_bound(X_154,identity)))),bind(Y0,$fot(greatest_lower_bound(X_153,multiply(X_153,X_154))))]]) ).
cnf(refute_0_56,plain,
greatest_lower_bound(X_153,multiply(X_153,X_154)) = multiply(X_153,greatest_lower_bound(X_154,identity)),
inference(resolve,[$cnf( $equal(multiply(X_153,greatest_lower_bound(X_154,identity)),greatest_lower_bound(X_153,multiply(X_153,X_154))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
greatest_lower_bound(a,multiply(a,a)) = multiply(a,greatest_lower_bound(a,identity)),
inference(subst,[],[refute_0_56:[bind(X_153,$fot(a)),bind(X_154,$fot(a))]]) ).
cnf(refute_0_58,plain,
( multiply(a,greatest_lower_bound(a,identity)) != a
| greatest_lower_bound(a,multiply(a,a)) != multiply(a,greatest_lower_bound(a,identity))
| greatest_lower_bound(a,multiply(a,a)) = a ),
inference(subst,[],[refute_0_38:[bind(X0,$fot(greatest_lower_bound(a,multiply(a,a)))),bind(Y0,$fot(multiply(a,greatest_lower_bound(a,identity)))),bind(Z0,$fot(a))]]) ).
cnf(refute_0_59,plain,
( multiply(a,greatest_lower_bound(a,identity)) != a
| greatest_lower_bound(a,multiply(a,a)) = a ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(a,multiply(a,a)),multiply(a,greatest_lower_bound(a,identity))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
greatest_lower_bound(a,multiply(a,a)) = a,
inference(resolve,[$cnf( $equal(multiply(a,greatest_lower_bound(a,identity)),a) )],[refute_0_41,refute_0_59]) ).
cnf(refute_0_61,plain,
( a != a
| greatest_lower_bound(a,multiply(a,a)) != a
| greatest_lower_bound(a,multiply(a,a)) = a ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(a,multiply(a,a)),a) ),[0,0],$fot(a)]]) ).
cnf(refute_0_62,plain,
( a != a
| greatest_lower_bound(a,multiply(a,a)) = a ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(a,multiply(a,a)),a) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
a != a,
inference(resolve,[$cnf( $equal(greatest_lower_bound(a,multiply(a,a)),a) )],[refute_0_62,prove_lat1b]) ).
cnf(refute_0_64,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_65,plain,
$false,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_64,refute_0_63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP165-2 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n007.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 04:47:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.79/1.00 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/1.00
% 0.79/1.00 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.86/1.00
%------------------------------------------------------------------------------