TSTP Solution File: PUZ030-2 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:31:50 EDT 2023
% Result : Unsatisfiable 0.10s 0.31s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 44
% Syntax : Number of formulae : 113 ( 1 unt; 0 def)
% Number of atoms : 363 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 430 ( 180 ~; 240 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 21 ( 20 usr; 21 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 (; 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,hypothesis,
( ~ salt_mill
| mustard_barry
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
( ~ mustard_lang
| ~ mustard_cole
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
( ~ mustard_lang
| ~ mustard_cole
| ~ salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
( ~ mustard_lang
| ~ salt_cole
| ~ salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
( ~ mustard_dix
| ~ mustard_lang
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
( ~ mustard_dix
| ~ salt_lang
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
( ~ salt_dix
| ~ mustard_barry
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
( ~ salt_dix
| ~ mustard_barry
| salt_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
( ~ salt_dix
| ~ salt_barry
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
( ~ salt_dix
| ~ salt_barry
| salt_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( ~ mustard_cole
| mustard_dix
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( ~ mustard_cole
| salt_dix
| salt_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
( ~ mustard_barry
| ~ mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( salt_dix
| ~ mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
( ~ salt_dix
| mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
( ~ salt_cole
| mustard_cole
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
( ~ salt_lang
| ~ mustard_lang
| salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
( ~ salt_barry
| ~ mustard_barry
| salt_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
( salt_dix
| ~ mustard_dix
| salt_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,hypothesis,
( ~ salt_dix
| mustard_dix
| salt_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
( salt_barry
| ~ mustard_barry
| salt_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,hypothesis,
( ~ salt_barry
| mustard_barry
| salt_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,hypothesis,
( ~ salt_lang
| ~ mustard_lang
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,hypothesis,
( ~ salt_dix
| ~ mustard_dix
| mustard_cole ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
( salt_lang
| ~ mustard_lang
| salt_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
( salt_cole
| ~ mustard_cole
| salt_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,hypothesis,
( ~ salt_cole
| mustard_cole
| salt_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,hypothesis,
( ~ salt_cole
| ~ mustard_barry
| ~ salt_barry
| ~ mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,hypothesis,
( ~ mustard_mill
| ~ mustard_cole
| ~ salt_cole
| ~ mustard_dix
| ~ salt_dix ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,hypothesis,
( ~ mustard_mill
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,hypothesis,
( salt_mill
| mustard_mill
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
( salt_cole
| mustard_cole
| mustard_lang ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,hypothesis,
( salt_dix
| mustard_dix
| mustard_barry ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( salt_lang
| ~ mustard_barry
| ~ salt_barry
| ~ salt_mill
| ~ mustard_lang
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix
| mustard_mill ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,plain,
( ~ salt_mill
| mustard_barry
| mustard_lang ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f68,plain,
( ~ mustard_lang
| ~ mustard_cole
| ~ mustard_mill ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f69,plain,
( ~ mustard_lang
| ~ mustard_cole
| ~ salt_mill ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f71,plain,
( ~ mustard_lang
| ~ salt_cole
| ~ salt_mill ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f72,plain,
( ~ mustard_dix
| ~ mustard_lang
| ~ mustard_mill ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f74,plain,
( ~ mustard_dix
| ~ salt_lang
| ~ mustard_mill ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f76,plain,
( ~ salt_dix
| ~ mustard_barry
| mustard_cole ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f77,plain,
( ~ salt_dix
| ~ mustard_barry
| salt_cole ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f78,plain,
( ~ salt_dix
| ~ salt_barry
| mustard_cole ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f79,plain,
( ~ salt_dix
| ~ salt_barry
| salt_cole ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f80,plain,
( ~ mustard_cole
| mustard_dix
| mustard_lang ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f83,plain,
( ~ mustard_cole
| salt_dix
| salt_lang ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f84,plain,
( ~ mustard_barry
| ~ mustard_dix
| mustard_mill ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f88,plain,
( salt_dix
| ~ mustard_dix
| mustard_mill ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f89,plain,
( ~ salt_dix
| mustard_dix
| mustard_mill ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f91,plain,
( ~ salt_cole
| mustard_cole
| mustard_mill ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f92,plain,
( ~ salt_lang
| ~ mustard_lang
| salt_mill ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f93,plain,
( ~ salt_barry
| ~ mustard_barry
| salt_mill ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f94,plain,
( salt_dix
| ~ mustard_dix
| salt_lang ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f95,plain,
( ~ salt_dix
| mustard_dix
| salt_lang ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f96,plain,
( salt_barry
| ~ mustard_barry
| salt_lang ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f97,plain,
( ~ salt_barry
| mustard_barry
| salt_lang ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f99,plain,
( ~ salt_lang
| ~ mustard_lang
| mustard_cole ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f100,plain,
( ~ salt_dix
| ~ mustard_dix
| mustard_cole ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f104,plain,
( salt_lang
| ~ mustard_lang
| salt_barry ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f106,plain,
( salt_cole
| ~ mustard_cole
| salt_barry ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f107,plain,
( ~ salt_cole
| mustard_cole
| salt_barry ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f108,plain,
( ~ salt_cole
| ~ mustard_barry
| ~ salt_barry
| ~ mustard_mill ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f112,plain,
( ~ mustard_mill
| ~ mustard_cole
| ~ salt_cole
| ~ mustard_dix
| ~ salt_dix ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f113,plain,
( ~ mustard_mill
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f119,plain,
( salt_mill
| mustard_mill
| mustard_lang ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f120,plain,
( salt_cole
| mustard_cole
| mustard_lang ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f125,plain,
( salt_dix
| mustard_dix
| mustard_barry ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f126,plain,
( salt_lang
| ~ mustard_barry
| ~ salt_barry
| ~ salt_mill
| ~ mustard_lang
| salt_cole
| mustard_cole
| salt_dix
| mustard_dix
| mustard_mill ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f127,plain,
( spl0_0
<=> salt_mill ),
introduced(split_symbol_definition) ).
fof(f130,plain,
( spl0_1
<=> mustard_barry ),
introduced(split_symbol_definition) ).
fof(f133,plain,
( spl0_2
<=> mustard_lang ),
introduced(split_symbol_definition) ).
fof(f136,plain,
( ~ spl0_0
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f64,f127,f130,f133]) ).
fof(f137,plain,
( spl0_3
<=> salt_lang ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( spl0_4
<=> salt_barry ),
introduced(split_symbol_definition) ).
fof(f146,plain,
( spl0_5
<=> mustard_cole ),
introduced(split_symbol_definition) ).
fof(f149,plain,
( spl0_6
<=> mustard_mill ),
introduced(split_symbol_definition) ).
fof(f152,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f68,f133,f146,f149]) ).
fof(f153,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f69,f133,f146,f127]) ).
fof(f154,plain,
( spl0_7
<=> salt_cole ),
introduced(split_symbol_definition) ).
fof(f158,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f71,f133,f154,f127]) ).
fof(f159,plain,
( spl0_8
<=> mustard_dix ),
introduced(split_symbol_definition) ).
fof(f162,plain,
( ~ spl0_8
| ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f72,f159,f133,f149]) ).
fof(f164,plain,
( ~ spl0_8
| ~ spl0_3
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f74,f159,f137,f149]) ).
fof(f166,plain,
( spl0_9
<=> salt_dix ),
introduced(split_symbol_definition) ).
fof(f169,plain,
( ~ spl0_9
| ~ spl0_1
| spl0_5 ),
inference(split_clause,[status(thm)],[f76,f166,f130,f146]) ).
fof(f170,plain,
( ~ spl0_9
| ~ spl0_1
| spl0_7 ),
inference(split_clause,[status(thm)],[f77,f166,f130,f154]) ).
fof(f171,plain,
( ~ spl0_9
| ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f78,f166,f141,f146]) ).
fof(f172,plain,
( ~ spl0_9
| ~ spl0_4
| spl0_7 ),
inference(split_clause,[status(thm)],[f79,f166,f141,f154]) ).
fof(f173,plain,
( ~ spl0_5
| spl0_8
| spl0_2 ),
inference(split_clause,[status(thm)],[f80,f146,f159,f133]) ).
fof(f176,plain,
( ~ spl0_5
| spl0_9
| spl0_3 ),
inference(split_clause,[status(thm)],[f83,f146,f166,f137]) ).
fof(f177,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_6 ),
inference(split_clause,[status(thm)],[f84,f130,f159,f149]) ).
fof(f181,plain,
( spl0_9
| ~ spl0_8
| spl0_6 ),
inference(split_clause,[status(thm)],[f88,f166,f159,f149]) ).
fof(f182,plain,
( ~ spl0_9
| spl0_8
| spl0_6 ),
inference(split_clause,[status(thm)],[f89,f166,f159,f149]) ).
fof(f184,plain,
( ~ spl0_7
| spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f91,f154,f146,f149]) ).
fof(f185,plain,
( ~ spl0_3
| ~ spl0_2
| spl0_0 ),
inference(split_clause,[status(thm)],[f92,f137,f133,f127]) ).
fof(f186,plain,
( ~ spl0_4
| ~ spl0_1
| spl0_0 ),
inference(split_clause,[status(thm)],[f93,f141,f130,f127]) ).
fof(f187,plain,
( spl0_9
| ~ spl0_8
| spl0_3 ),
inference(split_clause,[status(thm)],[f94,f166,f159,f137]) ).
fof(f188,plain,
( ~ spl0_9
| spl0_8
| spl0_3 ),
inference(split_clause,[status(thm)],[f95,f166,f159,f137]) ).
fof(f189,plain,
( spl0_4
| ~ spl0_1
| spl0_3 ),
inference(split_clause,[status(thm)],[f96,f141,f130,f137]) ).
fof(f190,plain,
( ~ spl0_4
| spl0_1
| spl0_3 ),
inference(split_clause,[status(thm)],[f97,f141,f130,f137]) ).
fof(f192,plain,
( ~ spl0_3
| ~ spl0_2
| spl0_5 ),
inference(split_clause,[status(thm)],[f99,f137,f133,f146]) ).
fof(f193,plain,
( ~ spl0_9
| ~ spl0_8
| spl0_5 ),
inference(split_clause,[status(thm)],[f100,f166,f159,f146]) ).
fof(f197,plain,
( spl0_3
| ~ spl0_2
| spl0_4 ),
inference(split_clause,[status(thm)],[f104,f137,f133,f141]) ).
fof(f199,plain,
( spl0_7
| ~ spl0_5
| spl0_4 ),
inference(split_clause,[status(thm)],[f106,f154,f146,f141]) ).
fof(f200,plain,
( ~ spl0_7
| spl0_5
| spl0_4 ),
inference(split_clause,[status(thm)],[f107,f154,f146,f141]) ).
fof(f201,plain,
( ~ spl0_7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f108,f154,f130,f141,f149]) ).
fof(f205,plain,
( ~ spl0_6
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f112,f149,f146,f154,f159,f166]) ).
fof(f206,plain,
( ~ spl0_6
| spl0_7
| spl0_5
| spl0_9
| spl0_8 ),
inference(split_clause,[status(thm)],[f113,f149,f154,f146,f166,f159]) ).
fof(f212,plain,
( spl0_0
| spl0_6
| spl0_2 ),
inference(split_clause,[status(thm)],[f119,f127,f149,f133]) ).
fof(f213,plain,
( spl0_7
| spl0_5
| spl0_2 ),
inference(split_clause,[status(thm)],[f120,f154,f146,f133]) ).
fof(f218,plain,
( spl0_9
| spl0_8
| spl0_1 ),
inference(split_clause,[status(thm)],[f125,f166,f159,f130]) ).
fof(f219,plain,
( spl0_3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_0
| ~ spl0_2
| spl0_7
| spl0_5
| spl0_9
| spl0_8
| spl0_6 ),
inference(split_clause,[status(thm)],[f126,f137,f130,f141,f127,f133,f154,f146,f166,f159,f149]) ).
fof(f220,plain,
$false,
inference(sat_refutation,[status(thm)],[f136,f152,f153,f158,f162,f164,f169,f170,f171,f172,f173,f176,f177,f181,f182,f184,f185,f186,f187,f188,f189,f190,f192,f193,f197,f199,f200,f201,f205,f206,f212,f213,f218,f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30 % Computer : n024.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue May 30 10:31:48 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.10/0.31 % Refutation found
% 0.10/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55 % Elapsed time: 0.029432 seconds
% 0.15/0.55 % CPU time: 0.010740 seconds
% 0.15/0.55 % Memory used: 567.716 KB
%------------------------------------------------------------------------------