TSTP Solution File: FLD056-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD056-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : 300s
% DateTime : Wed May 31 12:07:04 EDT 2023
% Result : Unsatisfiable 0.16s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 27 ( 12 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 7 (; 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
! [X,Y] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X)
| ~ defined(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ less_or_equal(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,plain,
! [Y] :
( ! [X] :
( less_or_equal(X,Y)
| less_or_equal(Y,X)
| ~ defined(X) )
| ~ defined(Y) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f63,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f68,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f69,plain,
~ less_or_equal(a,a),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f71,plain,
! [X0] :
( less_or_equal(X0,a)
| less_or_equal(a,X0)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f63,f68]) ).
fof(f72,plain,
( spl0_0
<=> less_or_equal(a,a) ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( less_or_equal(a,a)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( less_or_equal(a,a)
| less_or_equal(a,a) ),
inference(resolution,[status(thm)],[f71,f68]) ).
fof(f76,plain,
spl0_0,
inference(split_clause,[status(thm)],[f75,f72]) ).
fof(f77,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f69]) ).
fof(f78,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f77]) ).
fof(f79,plain,
$false,
inference(sat_refutation,[status(thm)],[f76,f78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : FLD056-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n011.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:00:57 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.33 % Refutation found
% 0.16/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.012710 seconds
% 0.16/0.54 % CPU time: 0.010989 seconds
% 0.16/0.54 % Memory used: 530.888 KB
%------------------------------------------------------------------------------