%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 12:45:53 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 79
% Syntax : Number of formulae : 194 ( 1 unt; 22 def)
% Number of atoms : 465 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 472 ( 201 ~; 249 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 45 ( 44 usr; 45 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( a
| a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( b
| a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( ~ b
| ~ a
| ~ a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
( a
| a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( a11
| a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
( ~ a11
| ~ a
| ~ a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
( b
| a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
( a11
| a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
( ~ a11
| ~ b
| ~ a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
( a12
| a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
( a13
| a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
( ~ a13
| ~ a12
| ~ a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
( a14
| a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
( cI
| a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
( ~ cI
| ~ a14
| ~ a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
( a14
| a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
( a15
| a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( ~ a15
| ~ a14
| ~ a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
( a15
| a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
( cI
| a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
( ~ cI
| ~ a15
| ~ a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
( a16
| s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
( a17
| s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
( ~ a17
| ~ a16
| ~ s1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
( a15
| c1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
( a11
| c1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
( ~ a11
| ~ a15
| ~ c1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
( ~ b
| a
| a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
( b
| ~ a
| a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
( b
| a
| ~ a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
( ~ b
| ~ a
| ~ a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
( cI
| ~ a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
( a23
| ~ a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
( ~ a23
| ~ cI
| a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
( ~ a
| a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
( ~ b
| a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
( b
| a
| ~ a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
( cI
| a24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
( ~ cI
| ~ a24 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
( a
| ~ a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
( b
| ~ a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
( ~ b
| ~ a
| a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
( a24
| ~ a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
( a25
| ~ a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,negated_conjecture,
( ~ a25
| ~ a24
| a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
( ~ a21
| cI
| s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
( a21
| ~ cI
| s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,negated_conjecture,
( a21
| cI
| ~ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
( ~ a21
| ~ cI
| ~ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
( ~ a22
| c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
( ~ a26
| c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
( a26
| a22
| ~ c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,negated_conjecture,
( s2
| s1
| ~ conjline18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,negated_conjecture,
( ~ s2
| ~ s1
| ~ conjline18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( c2
| c1
| ~ conjline19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( ~ c2
| ~ c1
| ~ conjline19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( conjline19
| conjline18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,plain,
( a
| a11 ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f63,plain,
( b
| a11 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f64,plain,
( ~ b
| ~ a
| ~ a11 ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f65,plain,
( a
| a12 ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f66,plain,
( a11
| a12 ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f67,plain,
( ~ a11
| ~ a
| ~ a12 ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f68,plain,
( b
| a13 ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f69,plain,
( a11
| a13 ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f70,plain,
( ~ a11
| ~ b
| ~ a13 ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f71,plain,
( a12
| a14 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f72,plain,
( a13
| a14 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f73,plain,
( ~ a13
| ~ a12
| ~ a14 ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f74,plain,
( a14
| a15 ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f75,plain,
( cI
| a15 ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f76,plain,
( ~ cI
| ~ a14
| ~ a15 ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f77,plain,
( a14
| a16 ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f78,plain,
( a15
| a16 ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f79,plain,
( ~ a15
| ~ a14
| ~ a16 ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f80,plain,
( a15
| a17 ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f81,plain,
( cI
| a17 ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f82,plain,
( ~ cI
| ~ a15
| ~ a17 ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f83,plain,
( a16
| s1 ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f84,plain,
( a17
| s1 ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f85,plain,
( ~ a17
| ~ a16
| ~ s1 ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f86,plain,
( a15
| c1 ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f87,plain,
( a11
| c1 ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f88,plain,
( ~ a11
| ~ a15
| ~ c1 ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f89,plain,
( ~ b
| a
| a21 ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f90,plain,
( b
| ~ a
| a21 ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f91,plain,
( b
| a
| ~ a21 ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f92,plain,
( ~ b
| ~ a
| ~ a21 ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f93,plain,
( cI
| ~ a22 ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f94,plain,
( a23
| ~ a22 ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f95,plain,
( ~ a23
| ~ cI
| a22 ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f96,plain,
( ~ a
| a23 ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f97,plain,
( ~ b
| a23 ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f98,plain,
( b
| a
| ~ a23 ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f99,plain,
( cI
| a24 ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f100,plain,
( ~ cI
| ~ a24 ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f101,plain,
( a
| ~ a25 ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f102,plain,
( b
| ~ a25 ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f103,plain,
( ~ b
| ~ a
| a25 ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f104,plain,
( a24
| ~ a26 ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f105,plain,
( a25
| ~ a26 ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f106,plain,
( ~ a25
| ~ a24
| a26 ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f107,plain,
( ~ a21
| cI
| s2 ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f108,plain,
( a21
| ~ cI
| s2 ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f109,plain,
( a21
| cI
| ~ s2 ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f110,plain,
( ~ a21
| ~ cI
| ~ s2 ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f111,plain,
( ~ a22
| c2 ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f112,plain,
( ~ a26
| c2 ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f113,plain,
( a26
| a22
| ~ c2 ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f116,plain,
( s2
| s1
| ~ conjline18 ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f117,plain,
( ~ s2
| ~ s1
| ~ conjline18 ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f120,plain,
( c2
| c1
| ~ conjline19 ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f121,plain,
( ~ c2
| ~ c1
| ~ conjline19 ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f122,plain,
( conjline19
| conjline18 ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f123,definition,
( sQ0_spl
<=> a11 ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f126,definition,
( sQ1_spl
<=> a ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f62,f123,f126]) ).
fof(f130,definition,
( sQ2_spl
<=> b ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f63,f123,f130]) ).
fof(f134,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f64,f123,f126,f130]) ).
fof(f135,definition,
( sQ3_spl
<=> a12 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f138,plain,
( sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f65,f135,f126]) ).
fof(f139,plain,
( sQ0_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f66,f135,f123]) ).
fof(f140,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f67,f135,f126,f123]) ).
fof(f141,definition,
( sQ4_spl
<=> a13 ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( sQ2_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f68,f141,f130]) ).
fof(f145,plain,
( sQ0_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f69,f141,f123]) ).
fof(f146,plain,
( ~ sQ0_spl
| ~ sQ2_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f70,f141,f130,f123]) ).
fof(f147,definition,
( sQ5_spl
<=> a14 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f71,f147,f135]) ).
fof(f151,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f72,f147,f141]) ).
fof(f152,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f73,f147,f135,f141]) ).
fof(f153,definition,
( sQ6_spl
<=> a15 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( sQ5_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f74,f153,f147]) ).
fof(f157,definition,
( sQ7_spl
<=> cI ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f75,f153,f157]) ).
fof(f161,plain,
( ~ sQ7_spl
| ~ sQ5_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f76,f153,f147,f157]) ).
fof(f162,definition,
( sQ8_spl
<=> a16 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f165,plain,
( sQ5_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f77,f162,f147]) ).
fof(f166,plain,
( sQ6_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f78,f162,f153]) ).
fof(f167,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f79,f162,f147,f153]) ).
fof(f168,definition,
( sQ9_spl
<=> a17 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f171,plain,
( sQ6_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f80,f168,f153]) ).
fof(f172,plain,
( sQ7_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f81,f168,f157]) ).
fof(f173,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f82,f168,f153,f157]) ).
fof(f174,definition,
( sQ10_spl
<=> s1 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( sQ8_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f83,f174,f162]) ).
fof(f178,plain,
( sQ9_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f84,f174,f168]) ).
fof(f179,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f85,f174,f162,f168]) ).
fof(f180,definition,
( sQ11_spl
<=> c1 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f183,plain,
( sQ6_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f86,f180,f153]) ).
fof(f184,plain,
( sQ0_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f87,f180,f123]) ).
fof(f185,plain,
( ~ sQ0_spl
| ~ sQ6_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f88,f180,f153,f123]) ).
fof(f186,definition,
( sQ12_spl
<=> a21 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f189,plain,
( ~ sQ2_spl
| sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f89,f186,f126,f130]) ).
fof(f190,plain,
( sQ2_spl
| ~ sQ1_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f90,f186,f126,f130]) ).
fof(f191,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f91,f186,f126,f130]) ).
fof(f192,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f92,f186,f126,f130]) ).
fof(f193,definition,
( sQ13_spl
<=> a22 ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( sQ7_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f93,f193,f157]) ).
fof(f197,definition,
( sQ14_spl
<=> a23 ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f94,f193,f197]) ).
fof(f201,plain,
( ~ sQ14_spl
| ~ sQ7_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f95,f193,f157,f197]) ).
fof(f202,plain,
( ~ sQ1_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f96,f197,f126]) ).
fof(f203,plain,
( ~ sQ2_spl
| sQ14_spl ),
inference(split_clause,[status(thm)],[f97,f197,f130]) ).
fof(f204,plain,
( sQ2_spl
| sQ1_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f98,f197,f126,f130]) ).
fof(f205,definition,
( sQ15_spl
<=> a24 ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( sQ7_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f99,f205,f157]) ).
fof(f209,plain,
( ~ sQ7_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f100,f205,f157]) ).
fof(f210,definition,
( sQ16_spl
<=> a25 ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( sQ1_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f101,f210,f126]) ).
fof(f214,plain,
( sQ2_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f102,f210,f130]) ).
fof(f215,plain,
( ~ sQ2_spl
| ~ sQ1_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f103,f210,f126,f130]) ).
fof(f216,definition,
( sQ17_spl
<=> a26 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( sQ15_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f104,f216,f205]) ).
fof(f220,plain,
( sQ16_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f105,f216,f210]) ).
fof(f221,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f106,f216,f205,f210]) ).
fof(f222,definition,
( sQ18_spl
<=> s2 ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ12_spl
| sQ7_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f107,f222,f157,f186]) ).
fof(f226,plain,
( sQ12_spl
| ~ sQ7_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f108,f222,f157,f186]) ).
fof(f227,plain,
( sQ12_spl
| sQ7_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f109,f222,f157,f186]) ).
fof(f228,plain,
( ~ sQ12_spl
| ~ sQ7_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f110,f222,f157,f186]) ).
fof(f229,definition,
( sQ19_spl
<=> c2 ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ13_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f111,f229,f193]) ).
fof(f233,plain,
( ~ sQ17_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f112,f229,f216]) ).
fof(f234,plain,
( sQ17_spl
| sQ13_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f113,f229,f193,f216]) ).
fof(f235,definition,
( sQ20_spl
<=> conjline18 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f240,plain,
( sQ18_spl
| sQ10_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f116,f235,f174,f222]) ).
fof(f241,plain,
( ~ sQ18_spl
| ~ sQ10_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f117,f235,f174,f222]) ).
fof(f242,definition,
( sQ21_spl
<=> conjline19 ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( sQ19_spl
| sQ11_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f120,f242,f180,f229]) ).
fof(f248,plain,
( ~ sQ19_spl
| ~ sQ11_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f121,f242,f180,f229]) ).
fof(f249,plain,
( sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f122,f235,f242]) ).
fof(f250,plain,
$false,
inference(sat_refutation,[status(thm)],[f129,f133,f134,f138,f139,f140,f144,f145,f146,f150,f151,f152,f156,f160,f161,f165,f166,f167,f171,f172,f173,f177,f178,f179,f183,f184,f185,f189,f190,f191,f192,f196,f200,f201,f202,f203,f204,f208,f209,f213,f214,f215,f219,f220,f221,f225,f226,f227,f228,f232,f233,f234,f240,f241,f247,f248,f249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.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 : Sun Sep 20 20:52:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.040114 seconds
% 0.10/0.41 % CPU time: 0.105111 seconds
% 0.10/0.41 % Total memory used: 15.915 MB
% 0.10/0.41 % Net memory used: 15.914 MB
%------------------------------------------------------------------------------