TSTP Solution File: SYN099-1.003 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN099-1.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:45:59 EDT 2023
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 11 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 61 ( 30 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 9 (; 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X] : ~ p_1_3(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( p_1_2(X)
| ~ p_2_2(X)
| ~ p_1_1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( p_1_3(X)
| ~ p_2_3(X)
| ~ p_1_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( p_2_3(X)
| ~ p_3_3(X)
| ~ p_2_2(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
p_1_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
p_2_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
p_3_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,plain,
! [X0] : ~ p_1_3(X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f52,plain,
! [X0] :
( p_1_2(X0)
| ~ p_2_2(X0)
| ~ p_1_1(X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f54,plain,
! [X0] :
( p_1_3(X0)
| ~ p_2_3(X0)
| ~ p_1_2(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f56,plain,
! [X0] :
( p_2_3(X0)
| ~ p_3_3(X0)
| ~ p_2_2(X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f70,plain,
p_1_1(a),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f72,plain,
p_2_2(a),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f74,plain,
p_3_3(a),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f101,plain,
! [X0] :
( ~ p_2_3(X0)
| ~ p_1_2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f51]) ).
fof(f105,plain,
( spl0_0
<=> p_1_2(a) ),
introduced(split_symbol_definition) ).
fof(f106,plain,
( p_1_2(a)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( spl0_1
<=> p_1_1(a) ),
introduced(split_symbol_definition) ).
fof(f110,plain,
( ~ p_1_1(a)
| spl0_1 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,plain,
( p_1_2(a)
| ~ p_1_1(a) ),
inference(resolution,[status(thm)],[f72,f52]) ).
fof(f112,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f111,f105,f108]) ).
fof(f113,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f110,f70]) ).
fof(f114,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f113]) ).
fof(f115,plain,
( spl0_2
<=> p_2_3(a) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( p_2_3(a)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( spl0_3
<=> p_2_2(a) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( ~ p_2_2(a)
| spl0_3 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( p_2_3(a)
| ~ p_2_2(a) ),
inference(resolution,[status(thm)],[f56,f74]) ).
fof(f122,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f121,f115,f118]) ).
fof(f123,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f72]) ).
fof(f124,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f138,plain,
( ~ p_1_2(a)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f116,f101]) ).
fof(f139,plain,
( $false
| ~ spl0_0
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f138,f106]) ).
fof(f140,plain,
( ~ spl0_0
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f139]) ).
fof(f141,plain,
$false,
inference(sat_refutation,[status(thm)],[f112,f114,f122,f124,f140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN099-1.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.10/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n029.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 : 300
% 0.12/0.33 % DateTime : Tue May 30 10:41:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.57 % Elapsed time: 0.016441 seconds
% 0.18/0.57 % CPU time: 0.029545 seconds
% 0.18/0.57 % Memory used: 2.440 MB
%------------------------------------------------------------------------------