%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:54 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 40
% Syntax : Number of formulae : 101 ( 1 unt; 10 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 376 ( 147 ~; 219 |; 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,
( mustard_lang
| mustard_barry
| ~ salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
( salt_lang
| mustard_barry
| ~ salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
( mustard_lang
| salt_barry
| ~ salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
( ~ salt_mill
| ~ mustard_cole
| ~ mustard_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
( ~ salt_mill
| ~ salt_cole
| ~ mustard_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
( ~ salt_mill
| ~ mustard_lang
| ~ mustard_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
( ~ mustard_mill
| ~ salt_lang
| ~ mustard_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
( mustard_cole
| ~ mustard_barry
| ~ salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
( salt_cole
| ~ mustard_barry
| ~ salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
( mustard_cole
| ~ salt_barry
| ~ salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( mustard_lang
| mustard_dix
| ~ mustard_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
( mustard_lang
| salt_dix
| ~ mustard_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
( salt_mill
| ~ mustard_lang
| ~ salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
( salt_mill
| ~ mustard_barry
| ~ salt_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
( salt_lang
| ~ mustard_barry
| salt_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,hypothesis,
( salt_lang
| mustard_barry
| ~ salt_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,hypothesis,
( mustard_cole
| ~ mustard_lang
| ~ salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
( salt_cole
| ~ mustard_barry
| salt_barry ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
( salt_barry
| ~ mustard_lang
| salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
( salt_barry
| mustard_lang
| ~ salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,hypothesis,
( salt_barry
| ~ mustard_cole
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,hypothesis,
( ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| ~ salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,hypothesis,
( ~ mustard_mill
| mustard_barry
| salt_barry
| ~ salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,hypothesis,
( mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| ~ mustard_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
( mustard_dix
| salt_dix
| ~ salt_barry
| ~ mustard_barry
| ~ salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,hypothesis,
( mustard_lang
| mustard_mill
| salt_mill ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
( mustard_lang
| mustard_cole
| salt_cole ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,hypothesis,
( mustard_dix
| mustard_lang
| salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,hypothesis,
( mustard_barry
| mustard_dix
| salt_dix ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,negated_conjecture,
( mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| ~ mustard_lang
| ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| salt_lang ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,plain,
( mustard_lang
| mustard_barry
| ~ salt_mill ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f65,plain,
( salt_lang
| mustard_barry
| ~ salt_mill ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f66,plain,
( mustard_lang
| salt_barry
| ~ salt_mill ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f69,plain,
( ~ salt_mill
| ~ mustard_cole
| ~ mustard_lang ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f71,plain,
( ~ salt_mill
| ~ salt_cole
| ~ mustard_lang ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f73,plain,
( ~ salt_mill
| ~ mustard_lang
| ~ mustard_dix ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f74,plain,
( ~ mustard_mill
| ~ salt_lang
| ~ mustard_dix ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f76,plain,
( mustard_cole
| ~ mustard_barry
| ~ salt_dix ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f77,plain,
( salt_cole
| ~ mustard_barry
| ~ salt_dix ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f78,plain,
( mustard_cole
| ~ salt_barry
| ~ salt_dix ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f80,plain,
( mustard_lang
| mustard_dix
| ~ mustard_cole ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f82,plain,
( mustard_lang
| salt_dix
| ~ mustard_cole ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f92,plain,
( salt_mill
| ~ mustard_lang
| ~ salt_lang ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f93,plain,
( salt_mill
| ~ mustard_barry
| ~ salt_barry ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f96,plain,
( salt_lang
| ~ mustard_barry
| salt_barry ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f97,plain,
( salt_lang
| mustard_barry
| ~ salt_barry ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f99,plain,
( mustard_cole
| ~ mustard_lang
| ~ salt_lang ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f101,plain,
( salt_cole
| ~ mustard_barry
| salt_barry ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f104,plain,
( salt_barry
| ~ mustard_lang
| salt_lang ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f105,plain,
( salt_barry
| mustard_lang
| ~ salt_lang ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f106,plain,
( salt_barry
| ~ mustard_cole
| salt_cole ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f109,plain,
( ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| ~ salt_cole ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f110,plain,
( ~ mustard_mill
| mustard_barry
| salt_barry
| ~ salt_cole ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f113,plain,
( mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| ~ mustard_mill ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f115,plain,
( mustard_dix
| salt_dix
| ~ salt_barry
| ~ mustard_barry
| ~ salt_lang ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f119,plain,
( mustard_lang
| mustard_mill
| salt_mill ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f120,plain,
( mustard_lang
| mustard_cole
| salt_cole ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f122,plain,
( mustard_dix
| mustard_lang
| salt_lang ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f125,plain,
( mustard_barry
| mustard_dix
| salt_dix ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f126,plain,
( mustard_mill
| mustard_dix
| salt_dix
| mustard_cole
| salt_cole
| ~ mustard_lang
| ~ salt_mill
| ~ salt_barry
| ~ mustard_barry
| salt_lang ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f127,definition,
( sQ0_spl
<=> salt_mill ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f130,definition,
( sQ1_spl
<=> mustard_barry ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f133,definition,
( sQ2_spl
<=> mustard_lang ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f136,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f64,f127,f130,f133]) ).
fof(f137,definition,
( sQ3_spl
<=> salt_lang ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f140,plain,
( sQ3_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f65,f127,f130,f137]) ).
fof(f141,definition,
( sQ4_spl
<=> salt_barry ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( sQ2_spl
| sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f66,f127,f141,f133]) ).
fof(f146,definition,
( sQ5_spl
<=> mustard_cole ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f149,definition,
( sQ6_spl
<=> mustard_mill ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f153,plain,
( ~ sQ0_spl
| ~ sQ5_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f69,f133,f146,f127]) ).
fof(f154,definition,
( sQ7_spl
<=> salt_cole ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( ~ sQ0_spl
| ~ sQ7_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f71,f133,f154,f127]) ).
fof(f159,definition,
( sQ8_spl
<=> mustard_dix ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f73,f159,f133,f127]) ).
fof(f164,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f74,f159,f137,f149]) ).
fof(f166,definition,
( sQ9_spl
<=> salt_dix ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f169,plain,
( sQ5_spl
| ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f76,f166,f130,f146]) ).
fof(f170,plain,
( sQ7_spl
| ~ sQ1_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f77,f166,f130,f154]) ).
fof(f171,plain,
( sQ5_spl
| ~ sQ4_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f78,f166,f141,f146]) ).
fof(f173,plain,
( sQ2_spl
| sQ8_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f80,f146,f159,f133]) ).
fof(f175,plain,
( sQ2_spl
| sQ9_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f82,f146,f166,f133]) ).
fof(f185,plain,
( sQ0_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f92,f137,f133,f127]) ).
fof(f186,plain,
( sQ0_spl
| ~ sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f93,f141,f130,f127]) ).
fof(f189,plain,
( sQ3_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f96,f141,f130,f137]) ).
fof(f190,plain,
( sQ3_spl
| sQ1_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f97,f141,f130,f137]) ).
fof(f192,plain,
( sQ5_spl
| ~ sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f99,f137,f133,f146]) ).
fof(f194,plain,
( sQ7_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f101,f141,f130,f154]) ).
fof(f197,plain,
( sQ4_spl
| ~ sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f104,f137,f133,f141]) ).
fof(f198,plain,
( sQ4_spl
| sQ2_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f105,f137,f133,f141]) ).
fof(f199,plain,
( sQ4_spl
| ~ sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f106,f154,f146,f141]) ).
fof(f202,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f109,f154,f130,f141,f127]) ).
fof(f203,plain,
( ~ sQ6_spl
| sQ1_spl
| sQ4_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f110,f154,f141,f130,f149]) ).
fof(f206,plain,
( sQ8_spl
| sQ9_spl
| sQ5_spl
| sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f113,f149,f154,f146,f166,f159]) ).
fof(f208,plain,
( sQ8_spl
| sQ9_spl
| ~ sQ4_spl
| ~ sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f115,f137,f130,f141,f166,f159]) ).
fof(f212,plain,
( sQ2_spl
| sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f119,f127,f149,f133]) ).
fof(f213,plain,
( sQ2_spl
| sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f120,f154,f146,f133]) ).
fof(f215,plain,
( sQ8_spl
| sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f122,f137,f133,f159]) ).
fof(f218,plain,
( sQ1_spl
| sQ8_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f125,f166,f159,f130]) ).
fof(f219,plain,
( sQ6_spl
| sQ8_spl
| sQ9_spl
| sQ5_spl
| sQ7_spl
| ~ sQ2_spl
| ~ sQ0_spl
| ~ sQ4_spl
| ~ sQ1_spl
| sQ3_spl ),
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,f140,f144,f153,f158,f163,f164,f169,f170,f171,f173,f175,f185,f186,f189,f190,f192,f194,f197,f198,f199,f202,f203,f206,f208,f212,f213,f215,f218,f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ030-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:47:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.37 % Refutation found
% 0.10/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40 % Elapsed time: 0.036979 seconds
% 0.14/0.40 % CPU time: 0.033349 seconds
% 0.14/0.40 % Total memory used: 1.121 MB
% 0.14/0.40 % Net memory used: 1.119 MB
%------------------------------------------------------------------------------