%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 0.11s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 61
% Syntax : Number of formulae : 209 ( 1 unt; 25 def)
% Number of atoms : 498 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 513 ( 224 ~; 264 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 26 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( salt(X)
| ~ both(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( mustard(X)
| ~ both(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( both(X)
| ~ mustard(X)
| ~ salt(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( mustard(X)
| salt(X)
| ~ oneof(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( ~ neither(X)
| ~ oneof(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( oneof(X)
| neither(X)
| both(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( ~ mustard(X)
| ~ salt(X)
| ~ oneof(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( ~ salt(X)
| ~ neither(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( ~ mustard(X)
| ~ neither(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( neither(X)
| mustard(X)
| salt(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
( salt(barry)
| ~ oneof(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
( salt(barry)
| ~ oneof(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
( both(mill)
| neither(dix)
| ~ mustard(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( mustard(barry)
| ~ neither(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
( mustard(barry)
| ~ both(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
( neither(mill)
| oneof(barry)
| ~ salt(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( salt(cole)
| ~ oneof(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
( both(lang)
| both(dix)
| ~ mustard(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
( mustard(cole)
| ~ both(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,hypothesis,
( mustard(cole)
| ~ both(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,hypothesis,
( both(cole)
| neither(barry)
| ~ salt(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,hypothesis,
( salt(dix)
| ~ neither(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
( salt(dix)
| ~ both(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
( neither(mill)
| neither(lang)
| ~ mustard(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,hypothesis,
( oneof(dix)
| oneof(barry)
| ~ salt(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,hypothesis,
( salt(lang)
| ~ oneof(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,hypothesis,
( salt(lang)
| ~ oneof(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,hypothesis,
( neither(mill)
| neither(cole)
| ~ mustard(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,hypothesis,
( mustard(lang)
| ~ neither(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,hypothesis,
( mustard(lang)
| ~ neither(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
( salt(mill)
| ~ both(barry) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
( mustard(mill)
| ~ both(lang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,hypothesis,
( oneof(dix)
| oneof(cole)
| ~ mustard(mill) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
( mustard(mill)
| ~ oneof(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
( mustard(mill)
| ~ oneof(dix) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( ~ oneof(mill)
| ~ mustard(lang)
| ~ salt(mill)
| ~ oneof(lang)
| ~ both(barry)
| ~ neither(dix)
| ~ neither(cole) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,plain,
! [X0] :
( salt(X0)
| ~ both(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f45,plain,
! [X0] :
( mustard(X0)
| ~ both(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
! [X0] :
( both(X0)
| ~ mustard(X0)
| ~ salt(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f47,plain,
! [X0] :
( mustard(X0)
| salt(X0)
| ~ oneof(X0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f49,plain,
! [X0] :
( ~ neither(X0)
| ~ oneof(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f50,plain,
! [X0] :
( oneof(X0)
| neither(X0)
| both(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f51,plain,
! [X0] :
( ~ mustard(X0)
| ~ salt(X0)
| ~ oneof(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f53,plain,
! [X0] :
( ~ salt(X0)
| ~ neither(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f54,plain,
! [X0] :
( ~ mustard(X0)
| ~ neither(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f55,plain,
! [X0] :
( neither(X0)
| mustard(X0)
| salt(X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
( salt(barry)
| ~ oneof(cole) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f58,plain,
( salt(barry)
| ~ oneof(lang) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f59,plain,
( both(mill)
| neither(dix)
| ~ mustard(barry) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f60,plain,
( mustard(barry)
| ~ neither(dix) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f61,plain,
( mustard(barry)
| ~ both(mill) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f62,plain,
( neither(mill)
| oneof(barry)
| ~ salt(cole) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f63,plain,
( salt(cole)
| ~ oneof(barry) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f65,plain,
( both(lang)
| both(dix)
| ~ mustard(cole) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f66,plain,
( mustard(cole)
| ~ both(dix) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f67,plain,
( mustard(cole)
| ~ both(lang) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f68,plain,
( both(cole)
| neither(barry)
| ~ salt(dix) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f69,plain,
( salt(dix)
| ~ neither(barry) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f70,plain,
( salt(dix)
| ~ both(cole) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f71,plain,
( neither(mill)
| neither(lang)
| ~ mustard(dix) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f74,plain,
( oneof(dix)
| oneof(barry)
| ~ salt(lang) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f75,plain,
( salt(lang)
| ~ oneof(barry) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f76,plain,
( salt(lang)
| ~ oneof(dix) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f77,plain,
( neither(mill)
| neither(cole)
| ~ mustard(lang) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f78,plain,
( mustard(lang)
| ~ neither(cole) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f79,plain,
( mustard(lang)
| ~ neither(mill) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f81,plain,
( salt(mill)
| ~ both(barry) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f82,plain,
( mustard(mill)
| ~ both(lang) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f83,plain,
( oneof(dix)
| oneof(cole)
| ~ mustard(mill) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f84,plain,
( mustard(mill)
| ~ oneof(cole) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f85,plain,
( mustard(mill)
| ~ oneof(dix) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f86,plain,
( ~ oneof(mill)
| ~ mustard(lang)
| ~ salt(mill)
| ~ oneof(lang)
| ~ both(barry)
| ~ neither(dix)
| ~ neither(cole) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f87,definition,
( sQ0_spl
<=> salt(barry) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f90,definition,
( sQ1_spl
<=> oneof(cole) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f91,plain,
( ~ sQ1_spl
| oneof(cole) ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,definition,
( sQ2_spl
<=> oneof(lang) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f97,plain,
( sQ0_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f57,f90,f87]) ).
fof(f98,plain,
( sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f58,f93,f87]) ).
fof(f99,definition,
( sQ3_spl
<=> mustard(barry) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( ~ sQ3_spl
| mustard(barry) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,definition,
( sQ4_spl
<=> neither(dix) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f104,plain,
( sQ4_spl
| ~ neither(dix) ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,definition,
( sQ5_spl
<=> both(mill) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f106,plain,
( ~ sQ5_spl
| both(mill) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( sQ5_spl
| sQ4_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f59,f99,f102,f105]) ).
fof(f109,plain,
( sQ3_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f60,f102,f99]) ).
fof(f110,plain,
( sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f61,f105,f99]) ).
fof(f111,definition,
( sQ6_spl
<=> salt(cole) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f113,plain,
( sQ6_spl
| ~ salt(cole) ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f114,definition,
( sQ7_spl
<=> oneof(barry) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f115,plain,
( ~ sQ7_spl
| oneof(barry) ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f117,definition,
( sQ8_spl
<=> neither(mill) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f118,plain,
( ~ sQ8_spl
| neither(mill) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f119,plain,
( sQ8_spl
| ~ neither(mill) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( sQ8_spl
| sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f62,f111,f114,f117]) ).
fof(f121,plain,
( sQ6_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f63,f114,f111]) ).
fof(f123,definition,
( sQ9_spl
<=> mustard(cole) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f124,plain,
( ~ sQ9_spl
| mustard(cole) ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,definition,
( sQ10_spl
<=> both(dix) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f127,plain,
( ~ sQ10_spl
| both(dix) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,definition,
( sQ11_spl
<=> both(lang) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f130,plain,
( ~ sQ11_spl
| both(lang) ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sQ11_spl
| sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f65,f123,f126,f129]) ).
fof(f133,plain,
( sQ9_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f66,f126,f123]) ).
fof(f134,plain,
( sQ9_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f67,f129,f123]) ).
fof(f135,definition,
( sQ12_spl
<=> salt(dix) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( sQ12_spl
| ~ salt(dix) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ13_spl
<=> neither(barry) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ13_spl
| neither(barry) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f140,plain,
( sQ13_spl
| ~ neither(barry) ),
inference(component_clause,[status(thm)],[f138]) ).
fof(f141,definition,
( sQ14_spl
<=> both(cole) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( ~ sQ14_spl
| both(cole) ),
inference(component_clause,[status(thm)],[f141]) ).
fof(f144,plain,
( sQ14_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f68,f135,f138,f141]) ).
fof(f145,plain,
( sQ12_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f69,f138,f135]) ).
fof(f146,plain,
( sQ12_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f70,f141,f135]) ).
fof(f147,definition,
( sQ15_spl
<=> mustard(dix) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f149,plain,
( sQ15_spl
| ~ mustard(dix) ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,definition,
( sQ16_spl
<=> neither(lang) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( ~ sQ16_spl
| neither(lang) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f152,plain,
( sQ16_spl
| ~ neither(lang) ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( sQ8_spl
| sQ16_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f71,f147,f150,f117]) ).
fof(f156,definition,
( sQ17_spl
<=> salt(lang) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f158,plain,
( sQ17_spl
| ~ salt(lang) ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,definition,
( sQ18_spl
<=> oneof(dix) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( ~ sQ18_spl
| oneof(dix) ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( sQ18_spl
| sQ7_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f74,f156,f114,f159]) ).
fof(f163,plain,
( sQ17_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f75,f114,f156]) ).
fof(f164,plain,
( sQ17_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f76,f159,f156]) ).
fof(f165,definition,
( sQ19_spl
<=> mustard(lang) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f166,plain,
( ~ sQ19_spl
| mustard(lang) ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,definition,
( sQ20_spl
<=> neither(cole) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f170,plain,
( sQ20_spl
| ~ neither(cole) ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( sQ8_spl
| sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f77,f165,f168,f117]) ).
fof(f172,plain,
( sQ19_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f78,f168,f165]) ).
fof(f173,plain,
( sQ19_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f79,f117,f165]) ).
fof(f174,definition,
( sQ21_spl
<=> salt(mill) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f177,definition,
( sQ22_spl
<=> both(barry) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( sQ21_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f81,f177,f174]) ).
fof(f182,definition,
( sQ23_spl
<=> mustard(mill) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( ~ sQ23_spl
| mustard(mill) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( sQ23_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f82,f129,f182]) ).
fof(f186,plain,
( sQ18_spl
| sQ1_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f83,f182,f90,f159]) ).
fof(f187,plain,
( sQ23_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f84,f90,f182]) ).
fof(f188,plain,
( sQ23_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f85,f159,f182]) ).
fof(f189,definition,
( sQ24_spl
<=> oneof(mill) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f190,plain,
( ~ sQ24_spl
| oneof(mill) ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( ~ sQ24_spl
| ~ sQ19_spl
| ~ sQ21_spl
| ~ sQ2_spl
| ~ sQ22_spl
| ~ sQ4_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f86,f168,f102,f177,f93,f174,f165,f189]) ).
fof(f194,plain,
( sQ6_spl
| ~ both(cole) ),
inference(resolution,[status(thm)],[f113,f44]) ).
fof(f195,plain,
( sQ17_spl
| ~ both(lang) ),
inference(resolution,[status(thm)],[f158,f44]) ).
fof(f196,plain,
( ~ sQ23_spl
| both(mill)
| ~ salt(mill) ),
inference(resolution,[status(thm)],[f46,f183]) ).
fof(f197,plain,
( ~ sQ23_spl
| sQ5_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f196,f174,f105,f182]) ).
fof(f198,plain,
( ~ sQ9_spl
| both(cole)
| ~ salt(cole) ),
inference(resolution,[status(thm)],[f124,f46]) ).
fof(f199,plain,
( ~ sQ9_spl
| sQ14_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f198,f111,f141,f123]) ).
fof(f200,plain,
( ~ sQ19_spl
| both(lang)
| ~ salt(lang) ),
inference(resolution,[status(thm)],[f166,f46]) ).
fof(f201,plain,
( ~ sQ19_spl
| sQ11_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f200,f156,f129,f165]) ).
fof(f203,plain,
( ~ sQ14_spl
| mustard(cole) ),
inference(resolution,[status(thm)],[f142,f45]) ).
fof(f204,plain,
( ~ sQ14_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f203,f123,f141]) ).
fof(f205,plain,
( ~ sQ11_spl
| sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f195]) ).
fof(f206,plain,
( ~ sQ11_spl
| sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f207,plain,
( sQ4_spl
| oneof(dix)
| both(dix) ),
inference(resolution,[status(thm)],[f50,f104]) ).
fof(f208,plain,
( sQ8_spl
| oneof(mill)
| both(mill) ),
inference(resolution,[status(thm)],[f50,f119]) ).
fof(f210,plain,
( sQ4_spl
| sQ18_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f207,f126,f159,f102]) ).
fof(f211,plain,
( sQ8_spl
| sQ24_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f208,f105,f189,f117]) ).
fof(f214,plain,
( sQ16_spl
| oneof(lang)
| both(lang) ),
inference(resolution,[status(thm)],[f152,f50]) ).
fof(f215,plain,
( sQ16_spl
| sQ2_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f214,f129,f93,f150]) ).
fof(f216,plain,
( sQ20_spl
| oneof(cole)
| both(cole) ),
inference(resolution,[status(thm)],[f170,f50]) ).
fof(f217,plain,
( sQ20_spl
| sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f216,f141,f90,f168]) ).
fof(f220,plain,
( ~ sQ10_spl
| mustard(dix) ),
inference(resolution,[status(thm)],[f127,f45]) ).
fof(f230,plain,
( ~ sQ9_spl
| ~ neither(cole) ),
inference(resolution,[status(thm)],[f54,f124]) ).
fof(f231,plain,
( sQ4_spl
| mustard(dix)
| salt(dix) ),
inference(resolution,[status(thm)],[f55,f104]) ).
fof(f234,plain,
( sQ4_spl
| sQ15_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f231,f135,f147,f102]) ).
fof(f238,plain,
( ~ sQ19_spl
| ~ neither(lang) ),
inference(resolution,[status(thm)],[f166,f54]) ).
fof(f240,plain,
( ~ sQ19_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f238,f150,f165]) ).
fof(f242,plain,
( sQ6_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f194,f141,f111]) ).
fof(f257,plain,
( ~ sQ8_spl
| ~ salt(mill) ),
inference(resolution,[status(thm)],[f118,f53]) ).
fof(f260,plain,
( ~ sQ11_spl
| mustard(lang) ),
inference(resolution,[status(thm)],[f130,f45]) ).
fof(f261,plain,
( ~ sQ23_spl
| ~ neither(mill) ),
inference(resolution,[status(thm)],[f183,f54]) ).
fof(f263,plain,
( ~ sQ23_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f261,f117,f182]) ).
fof(f267,plain,
( sQ12_spl
| ~ both(dix) ),
inference(resolution,[status(thm)],[f137,f44]) ).
fof(f268,plain,
( sQ12_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f267,f126,f135]) ).
fof(f269,plain,
( sQ15_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f149,f220]) ).
fof(f270,plain,
( sQ15_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f269]) ).
fof(f273,plain,
( ~ sQ1_spl
| mustard(cole)
| salt(cole) ),
inference(resolution,[status(thm)],[f91,f47]) ).
fof(f275,plain,
( ~ sQ1_spl
| sQ9_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f273,f111,f123,f90]) ).
fof(f276,plain,
( ~ sQ11_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f260,f165,f129]) ).
fof(f282,plain,
( ~ sQ8_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f257,f174,f117]) ).
fof(f284,plain,
( ~ sQ9_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f230,f168,f123]) ).
fof(f285,plain,
( ~ sQ24_spl
| ~ mustard(mill)
| ~ salt(mill) ),
inference(resolution,[status(thm)],[f190,f51]) ).
fof(f288,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f285,f174,f182,f189]) ).
fof(f301,plain,
( ~ sQ18_spl
| mustard(dix)
| salt(dix) ),
inference(resolution,[status(thm)],[f160,f47]) ).
fof(f303,plain,
( ~ sQ18_spl
| sQ15_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f301,f135,f147,f159]) ).
fof(f311,plain,
( sQ20_spl
| mustard(cole)
| salt(cole) ),
inference(resolution,[status(thm)],[f170,f55]) ).
fof(f313,plain,
( sQ20_spl
| sQ9_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f311,f111,f123,f168]) ).
fof(f320,plain,
( ~ sQ7_spl
| ~ mustard(barry)
| ~ salt(barry) ),
inference(resolution,[status(thm)],[f115,f51]) ).
fof(f323,plain,
( ~ sQ7_spl
| ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f320,f87,f99,f114]) ).
fof(f330,plain,
( sQ13_spl
| oneof(barry)
| both(barry) ),
inference(resolution,[status(thm)],[f140,f50]) ).
fof(f332,plain,
( sQ13_spl
| sQ7_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f330,f177,f114,f138]) ).
fof(f333,plain,
( ~ sQ16_spl
| ~ salt(lang) ),
inference(resolution,[status(thm)],[f151,f53]) ).
fof(f335,plain,
( ~ sQ16_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f333,f156,f150]) ).
fof(f336,plain,
( ~ sQ3_spl
| ~ neither(barry) ),
inference(resolution,[status(thm)],[f100,f54]) ).
fof(f357,plain,
( ~ sQ13_spl
| ~ salt(barry) ),
inference(resolution,[status(thm)],[f139,f53]) ).
fof(f358,plain,
( ~ sQ13_spl
| ~ oneof(barry) ),
inference(resolution,[status(thm)],[f139,f49]) ).
fof(f359,plain,
( ~ sQ13_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f357,f87,f138]) ).
fof(f360,plain,
( ~ sQ13_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f358,f114,f138]) ).
fof(f372,plain,
( ~ sQ3_spl
| oneof(barry)
| both(barry) ),
inference(resolution,[status(thm)],[f336,f50]) ).
fof(f374,plain,
( ~ sQ3_spl
| sQ7_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f372,f177,f114,f99]) ).
fof(f376,plain,
( ~ sQ5_spl
| mustard(mill) ),
inference(resolution,[status(thm)],[f106,f45]) ).
fof(f377,plain,
( ~ sQ5_spl
| sQ23_spl ),
inference(split_clause,[status(thm)],[f376,f182,f105]) ).
fof(f378,plain,
$false,
inference(sat_refutation,[status(thm)],[f97,f98,f108,f109,f110,f120,f121,f132,f133,f134,f144,f145,f146,f153,f162,f163,f164,f171,f172,f173,f181,f185,f186,f187,f188,f192,f197,f199,f201,f204,f206,f210,f211,f215,f217,f234,f240,f242,f263,f268,f270,f275,f276,f282,f284,f288,f303,f313,f323,f332,f335,f359,f360,f374,f377]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ030-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n014.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 03:46:20 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.42 % Elapsed time: 0.046170 seconds
% 0.15/0.42 % CPU time: 0.129022 seconds
% 0.15/0.42 % Total memory used: 17.574 MB
% 0.15/0.42 % Net memory used: 17.485 MB
%------------------------------------------------------------------------------