TSTP Solution File: SYN098-1.002 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 : Tue Apr 30 20:51:19 EDT 2024
% Result : Unsatisfiable 0.09s 0.31s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 42
% Syntax : Number of formulae : 89 ( 4 unt; 0 def)
% Number of atoms : 210 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 198 ( 77 ~; 101 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 41 ( 40 usr; 41 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( u_1
| ~ p_0
| ~ q_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
~ u_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( p_0
| ~ u_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
( p_0
| ~ u_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
( p_1
| ~ u_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
( q_0
| ~ u_6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
( u_7
| q_0
| ~ q_1
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
( q_0
| ~ u_7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
( u_8
| q_1
| ~ p_2
| ~ q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
( q_1
| ~ u_8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
( u_9
| q_1
| ~ q_2
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
( q_1
| ~ u_9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
( u_10
| p_3
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
( p_3
| ~ u_10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
( u_14
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
( p_2
| ~ u_14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
( u_16
| q_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
( q_2
| ~ u_16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
( u_17
| q_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
( q_3
| ~ u_17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,plain,
( u_1
| ~ p_0
| ~ q_0 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f70,plain,
~ u_1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f72,plain,
( p_0
| ~ u_2 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f73,plain,
( u_3
| p_0
| ~ q_1
| ~ q_2 ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f74,plain,
( p_0
| ~ u_3 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f77,plain,
( u_5
| p_1
| ~ q_2
| ~ q_3 ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f78,plain,
( p_1
| ~ u_5 ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f80,plain,
( q_0
| ~ u_6 ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f81,plain,
( u_7
| q_0
| ~ q_1
| ~ p_2 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f82,plain,
( q_0
| ~ u_7 ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f83,plain,
( u_8
| q_1
| ~ p_2
| ~ q_3 ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f84,plain,
( q_1
| ~ u_8 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f85,plain,
( u_9
| q_1
| ~ q_2
| ~ p_3 ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f86,plain,
( q_1
| ~ u_9 ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f87,plain,
( u_10
| p_3
| ~ p_1 ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f88,plain,
( p_3
| ~ u_10 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f95,plain,
( u_14
| p_2 ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f96,plain,
( p_2
| ~ u_14 ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f99,plain,
( u_16
| q_2 ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f100,plain,
( q_2
| ~ u_16 ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f101,plain,
( u_17
| q_3 ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f102,plain,
( q_3
| ~ u_17 ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f137,plain,
( spl0_0
<=> u_1 ),
introduced(split_symbol_definition) ).
fof(f138,plain,
( u_1
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( spl0_1
<=> p_0 ),
introduced(split_symbol_definition) ).
fof(f143,plain,
( spl0_2
<=> q_0 ),
introduced(split_symbol_definition) ).
fof(f146,plain,
( spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f69,f137,f140,f143]) ).
fof(f147,plain,
( spl0_3
<=> u_2 ),
introduced(split_symbol_definition) ).
fof(f150,plain,
( spl0_4
<=> p_1 ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( spl0_5
<=> p_2 ),
introduced(split_symbol_definition) ).
fof(f157,plain,
( spl0_1
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f72,f140,f147]) ).
fof(f158,plain,
( spl0_6
<=> u_3 ),
introduced(split_symbol_definition) ).
fof(f161,plain,
( spl0_7
<=> q_1 ),
introduced(split_symbol_definition) ).
fof(f164,plain,
( spl0_8
<=> q_2 ),
introduced(split_symbol_definition) ).
fof(f167,plain,
( spl0_6
| spl0_1
| ~ spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f73,f158,f140,f161,f164]) ).
fof(f168,plain,
( spl0_1
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f74,f140,f158]) ).
fof(f172,plain,
( spl0_10
<=> p_3 ),
introduced(split_symbol_definition) ).
fof(f177,plain,
( spl0_11
<=> u_5 ),
introduced(split_symbol_definition) ).
fof(f180,plain,
( spl0_12
<=> q_3 ),
introduced(split_symbol_definition) ).
fof(f183,plain,
( spl0_11
| spl0_4
| ~ spl0_8
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f77,f177,f150,f164,f180]) ).
fof(f184,plain,
( spl0_4
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f78,f150,f177]) ).
fof(f185,plain,
( spl0_13
<=> u_6 ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( spl0_2
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f80,f143,f185]) ).
fof(f190,plain,
( spl0_14
<=> u_7 ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( spl0_14
| spl0_2
| ~ spl0_7
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f81,f190,f143,f161,f153]) ).
fof(f194,plain,
( spl0_2
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f82,f143,f190]) ).
fof(f195,plain,
( spl0_15
<=> u_8 ),
introduced(split_symbol_definition) ).
fof(f198,plain,
( spl0_15
| spl0_7
| ~ spl0_5
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f83,f195,f161,f153,f180]) ).
fof(f199,plain,
( spl0_7
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f84,f161,f195]) ).
fof(f200,plain,
( spl0_16
<=> u_9 ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( spl0_16
| spl0_7
| ~ spl0_8
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f85,f200,f161,f164,f172]) ).
fof(f204,plain,
( spl0_7
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f86,f161,f200]) ).
fof(f205,plain,
( spl0_17
<=> u_10 ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( spl0_17
| spl0_10
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f87,f205,f172,f150]) ).
fof(f209,plain,
( spl0_10
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f88,f172,f205]) ).
fof(f231,plain,
( spl0_23
<=> u_14 ),
introduced(split_symbol_definition) ).
fof(f234,plain,
( spl0_23
| spl0_5 ),
inference(split_clause,[status(thm)],[f95,f231,f153]) ).
fof(f235,plain,
( spl0_5
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f96,f153,f231]) ).
fof(f241,plain,
( spl0_25
<=> u_16 ),
introduced(split_symbol_definition) ).
fof(f244,plain,
( spl0_25
| spl0_8 ),
inference(split_clause,[status(thm)],[f99,f241,f164]) ).
fof(f245,plain,
( spl0_8
| ~ spl0_25 ),
inference(split_clause,[status(thm)],[f100,f164,f241]) ).
fof(f246,plain,
( spl0_26
<=> u_17 ),
introduced(split_symbol_definition) ).
fof(f249,plain,
( spl0_26
| spl0_12 ),
inference(split_clause,[status(thm)],[f101,f246,f180]) ).
fof(f250,plain,
( spl0_12
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f102,f180,f246]) ).
fof(f251,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f70,f138]) ).
fof(f252,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
$false,
inference(sat_refutation,[status(thm)],[f146,f157,f167,f168,f183,f184,f189,f193,f194,f198,f199,f203,f204,f208,f209,f234,f235,f244,f245,f249,f250,f252]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.10 % Problem : SYN098-1.002 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 22:26:31 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.09/0.31 % Refutation found
% 0.09/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.32 % Elapsed time: 0.015323 seconds
% 0.13/0.32 % CPU time: 0.014585 seconds
% 0.13/0.32 % Total memory used: 1.221 MB
% 0.13/0.32 % Net memory used: 1.183 MB
%------------------------------------------------------------------------------