TSTP Solution File: GRP161-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP161-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 10:37:06 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 10 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 1 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_gld,axiom,
greatest_lower_bound(X,X) = X ).
cnf(prove_ax_reflb,negated_conjecture,
greatest_lower_bound(a,a) != a ).
cnf(refute_0_0,plain,
greatest_lower_bound(a,a) = a,
inference(subst,[],[idempotence_of_gld:[bind(X,$fot(a))]]) ).
cnf(refute_0_1,plain,
( a != a
| greatest_lower_bound(a,a) != a
| greatest_lower_bound(a,a) = a ),
introduced(tautology,[equality,[$cnf( $equal(greatest_lower_bound(a,a),a) ),[0,0],$fot(a)]]) ).
cnf(refute_0_2,plain,
( a != a
| greatest_lower_bound(a,a) = a ),
inference(resolve,[$cnf( $equal(greatest_lower_bound(a,a),a) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
a != a,
inference(resolve,[$cnf( $equal(greatest_lower_bound(a,a),a) )],[refute_0_2,prove_ax_reflb]) ).
cnf(refute_0_4,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_5,plain,
$false,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_4,refute_0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP161-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 09:55:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------