%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 : Tue Sep 29 10:58:53 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.65s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 77
% Syntax : Number of formulae : 218 ( 16 unt; 22 def)
% Number of atoms : 505 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 502 ( 215 ~; 265 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( a11
| a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1A) ).
fof(f2,negated_conjecture,
( a11
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1B) ).
fof(f3,negated_conjecture,
( ~ a11
| ~ a
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1C) ).
fof(f4,negated_conjecture,
( a12
| a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2A) ).
fof(f5,negated_conjecture,
( a12
| a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2B) ).
fof(f6,negated_conjecture,
( ~ a12
| ~ a
| ~ a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2C) ).
fof(f7,negated_conjecture,
( a13
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3A) ).
fof(f8,negated_conjecture,
( a13
| a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3B) ).
fof(f9,negated_conjecture,
( ~ a13
| ~ b
| ~ a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3C) ).
fof(f10,negated_conjecture,
( a14
| a12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4A) ).
fof(f11,negated_conjecture,
( a14
| a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4B) ).
fof(f12,negated_conjecture,
( ~ a14
| ~ a12
| ~ a13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4C) ).
fof(f13,negated_conjecture,
( a15
| a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5A) ).
fof(f14,negated_conjecture,
( a15
| cI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5B) ).
fof(f15,negated_conjecture,
( ~ a15
| ~ a14
| ~ cI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5C) ).
fof(f16,negated_conjecture,
( a16
| a14 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6A) ).
fof(f17,negated_conjecture,
( a16
| a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6B) ).
fof(f18,negated_conjecture,
( ~ a16
| ~ a14
| ~ a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6C) ).
fof(f19,negated_conjecture,
( a17
| a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7A) ).
fof(f20,negated_conjecture,
( a17
| cI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7B) ).
fof(f21,negated_conjecture,
( ~ a17
| ~ a15
| ~ cI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7C) ).
fof(f22,negated_conjecture,
( s1
| a16 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8A) ).
fof(f23,negated_conjecture,
( s1
| a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8B) ).
fof(f24,negated_conjecture,
( ~ s1
| ~ a16
| ~ a17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8C) ).
fof(f25,negated_conjecture,
( c1
| a15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9A) ).
fof(f26,negated_conjecture,
( c1
| a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9B) ).
fof(f27,negated_conjecture,
( ~ c1
| ~ a15
| ~ a11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9C) ).
fof(f28,negated_conjecture,
( a21
| a
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10A) ).
fof(f29,negated_conjecture,
( a21
| ~ a
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10B) ).
fof(f30,negated_conjecture,
( ~ a21
| a
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10C) ).
fof(f31,negated_conjecture,
( ~ a21
| ~ a
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10D) ).
fof(f32,negated_conjecture,
( ~ a22
| cI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11A) ).
fof(f33,negated_conjecture,
( ~ a22
| a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11B) ).
fof(f34,negated_conjecture,
( a22
| ~ cI
| ~ a23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11C) ).
fof(f35,negated_conjecture,
( a23
| ~ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12A) ).
fof(f36,negated_conjecture,
( a23
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12B) ).
fof(f37,negated_conjecture,
( ~ a23
| a
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12C) ).
fof(f38,negated_conjecture,
( a24
| cI ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13A) ).
fof(f40,negated_conjecture,
( ~ a25
| a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14A) ).
fof(f41,negated_conjecture,
( ~ a25
| b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14B) ).
fof(f42,negated_conjecture,
( a25
| ~ a
| ~ b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14C) ).
fof(f44,negated_conjecture,
( ~ a26
| a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15B) ).
fof(f45,negated_conjecture,
( a26
| ~ a24
| ~ a25 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15C) ).
fof(f46,negated_conjecture,
( s2
| cI
| ~ a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16A) ).
fof(f47,negated_conjecture,
( s2
| ~ cI
| a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16B) ).
fof(f48,negated_conjecture,
( ~ s2
| cI
| a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16C) ).
fof(f49,negated_conjecture,
( ~ s2
| ~ cI
| ~ a21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16D) ).
fof(f50,negated_conjecture,
( c2
| ~ a22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17A) ).
fof(f51,negated_conjecture,
( c2
| ~ a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17B) ).
fof(f52,negated_conjecture,
( ~ c2
| a22
| a26 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17C) ).
fof(f55,negated_conjecture,
( ~ conjline18
| s1
| s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18C) ).
fof(f56,negated_conjecture,
( ~ conjline18
| ~ s1
| ~ s2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18D) ).
fof(f59,negated_conjecture,
( ~ conjline19
| c1
| c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19C) ).
fof(f60,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19D) ).
fof(f61,negated_conjecture,
( conjline18
| conjline19 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f63,definition,
( spl0_1
<=> conjline19 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f67,definition,
( spl0_2
<=> conjline18 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f70,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f61,f67,f63]) ).
fof(f72,definition,
( spl0_3
<=> c2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f76,definition,
( spl0_4
<=> c1 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f79,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f60,f63,f76,f72]) ).
fof(f80,plain,
( spl0_3
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f59,f63,f76,f72]) ).
fof(f82,definition,
( spl0_5
<=> s2 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f86,definition,
( spl0_6
<=> s1 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f89,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f56,f67,f86,f82]) ).
fof(f90,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f55,f67,f86,f82]) ).
fof(f92,definition,
( spl0_7
<=> a26 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f96,definition,
( spl0_8
<=> a22 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f99,plain,
( spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f52,f72,f96,f92]) ).
fof(f100,plain,
( ~ spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f51,f72,f92]) ).
fof(f101,plain,
( ~ spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f50,f72,f96]) ).
fof(f103,definition,
( spl0_9
<=> a21 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f107,definition,
( spl0_10
<=> cI ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f110,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f49,f82,f107,f103]) ).
fof(f111,plain,
( spl0_9
| spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f48,f82,f107,f103]) ).
fof(f112,plain,
( spl0_9
| ~ spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f47,f82,f107,f103]) ).
fof(f113,plain,
( ~ spl0_9
| spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f82,f107,f103]) ).
fof(f115,definition,
( spl0_11
<=> a25 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f119,definition,
( spl0_12
<=> a24 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f122,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f45,f92,f119,f115]) ).
fof(f123,plain,
( spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f44,f92,f115]) ).
fof(f126,definition,
( spl0_13
<=> b ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f130,definition,
( spl0_14
<=> a ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f133,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_11 ),
inference(avatar_split_clause,[],[f42,f115,f130,f126]) ).
fof(f134,plain,
( spl0_13
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f41,f115,f126]) ).
fof(f135,plain,
( spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f40,f115,f130]) ).
fof(f137,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f119,f107]) ).
fof(f139,definition,
( spl0_15
<=> a23 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f142,plain,
( spl0_13
| spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f37,f139,f130,f126]) ).
fof(f143,plain,
( ~ spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f139,f126]) ).
fof(f144,plain,
( ~ spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f139,f130]) ).
fof(f145,plain,
( ~ spl0_15
| ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f34,f96,f107,f139]) ).
fof(f146,plain,
( spl0_15
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f33,f96,f139]) ).
fof(f147,plain,
( spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f32,f96,f107]) ).
fof(f148,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f31,f103,f130,f126]) ).
fof(f149,plain,
( spl0_13
| spl0_14
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f30,f103,f130,f126]) ).
fof(f150,plain,
( spl0_13
| ~ spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f29,f103,f130,f126]) ).
fof(f151,plain,
( ~ spl0_13
| spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f28,f103,f130,f126]) ).
fof(f153,definition,
( spl0_16
<=> a11 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f157,definition,
( spl0_17
<=> a15 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f160,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f27,f76,f157,f153]) ).
fof(f161,plain,
( spl0_16
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f76,f153]) ).
fof(f162,plain,
( spl0_17
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f76,f157]) ).
fof(f164,definition,
( spl0_18
<=> a17 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f168,definition,
( spl0_19
<=> a16 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f171,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f24,f86,f168,f164]) ).
fof(f172,plain,
( spl0_18
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f86,f164]) ).
fof(f173,plain,
( spl0_19
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f86,f168]) ).
fof(f174,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f21,f164,f157,f107]) ).
fof(f175,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f20,f164,f107]) ).
fof(f176,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f19,f164,f157]) ).
fof(f178,definition,
( spl0_20
<=> a14 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f181,plain,
( ~ spl0_17
| ~ spl0_20
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f18,f168,f178,f157]) ).
fof(f182,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f17,f168,f157]) ).
fof(f183,plain,
( spl0_20
| spl0_19 ),
inference(avatar_split_clause,[],[f16,f168,f178]) ).
fof(f184,plain,
( ~ spl0_10
| ~ spl0_20
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f15,f157,f178,f107]) ).
fof(f185,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f14,f157,f107]) ).
fof(f186,plain,
( spl0_20
| spl0_17 ),
inference(avatar_split_clause,[],[f13,f157,f178]) ).
fof(f188,definition,
( spl0_21
<=> a13 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f192,definition,
( spl0_22
<=> a12 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f195,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f12,f178,f192,f188]) ).
fof(f196,plain,
( spl0_21
| spl0_20 ),
inference(avatar_split_clause,[],[f11,f178,f188]) ).
fof(f197,plain,
( spl0_22
| spl0_20 ),
inference(avatar_split_clause,[],[f10,f178,f192]) ).
fof(f198,plain,
( ~ spl0_16
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f9,f188,f126,f153]) ).
fof(f199,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f8,f188,f153]) ).
fof(f200,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f7,f188,f126]) ).
fof(f201,plain,
( ~ spl0_16
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f6,f192,f130,f153]) ).
fof(f202,plain,
( spl0_16
| spl0_22 ),
inference(avatar_split_clause,[],[f5,f192,f153]) ).
fof(f203,plain,
( spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f4,f192,f130]) ).
fof(f204,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f3,f153,f130,f126]) ).
fof(f205,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f2,f153,f126]) ).
fof(f206,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f1,f153,f130]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f70]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f79]) ).
cnf(s3,plain,
( ~ spl0_1
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f80]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f89]) ).
cnf(s5,plain,
( ~ spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f90]) ).
cnf(s6,plain,
( ~ spl0_3
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f99]) ).
cnf(s7,plain,
( spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f100]) ).
cnf(s8,plain,
( spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f101]) ).
cnf(s9,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f110]) ).
cnf(s10,plain,
( ~ spl0_5
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f111]) ).
cnf(s11,plain,
( spl0_5
| spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f112]) ).
cnf(s12,plain,
( spl0_5
| ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f113]) ).
cnf(s13,plain,
( spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f122]) ).
cnf(s14,plain,
( ~ spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f123]) ).
cnf(s16,plain,
( spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f133]) ).
cnf(s17,plain,
( ~ spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f134]) ).
cnf(s18,plain,
( ~ spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f135]) ).
cnf(s20,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f137]) ).
cnf(s21,plain,
( spl0_13
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f142]) ).
cnf(s22,plain,
( ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f143]) ).
cnf(s23,plain,
( ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f144]) ).
cnf(s24,plain,
( spl0_8
| ~ spl0_10
| ~ spl0_15 ),
inference(sat_conversion,[],[f145]) ).
cnf(s25,plain,
( ~ spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s26,plain,
( ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f147]) ).
cnf(s27,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f148]) ).
cnf(s28,plain,
( ~ spl0_9
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f149]) ).
cnf(s29,plain,
( spl0_9
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f150]) ).
cnf(s30,plain,
( spl0_9
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f151]) ).
cnf(s31,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f160]) ).
cnf(s32,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f161]) ).
cnf(s33,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f162]) ).
cnf(s34,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f171]) ).
cnf(s35,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f172]) ).
cnf(s36,plain,
( spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f173]) ).
cnf(s37,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f174]) ).
cnf(s38,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f175]) ).
cnf(s39,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f176]) ).
cnf(s40,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f181]) ).
cnf(s41,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f182]) ).
cnf(s42,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f183]) ).
cnf(s43,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f184]) ).
cnf(s44,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f185]) ).
cnf(s45,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f186]) ).
cnf(s46,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f195]) ).
cnf(s47,plain,
( spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f196]) ).
cnf(s48,plain,
( spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f197]) ).
cnf(s49,plain,
( ~ spl0_13
| ~ spl0_16
| ~ spl0_21 ),
inference(sat_conversion,[],[f198]) ).
cnf(s50,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f199]) ).
cnf(s51,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f200]) ).
cnf(s52,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f201]) ).
cnf(s53,plain,
( spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f202]) ).
cnf(s54,plain,
( spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f203]) ).
cnf(s55,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f204]) ).
cnf(s56,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f205]) ).
cnf(s57,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f206]) ).
cnf(s58,plain,
( spl0_13
| ~ spl0_20
| spl0_9 ),
inference(rat,[],[s54,s46,s29,s51]) ).
cnf(s59,plain,
( spl0_9
| ~ spl0_6
| spl0_5
| ~ spl0_16 ),
inference(rat,[],[s30,s55,s58,s42,s34,s38,s11]) ).
cnf(s60,plain,
( spl0_5
| ~ spl0_16
| spl0_8
| ~ spl0_2 ),
inference(rat,[],[s28,s22,s23,s24,s12,s59,s5]) ).
cnf(s61,plain,
( spl0_4
| spl0_8
| ~ spl0_2 ),
inference(rat,[],[s28,s49,s52,s10,s47,s48,s37,s40,s35,s36,s4,s60,s32,s33]) ).
cnf(s62,plain,
( spl0_16
| spl0_3 ),
inference(rat,[],[s20,s13,s24,s16,s23,s56,s57,s8,s7]) ).
cnf(s63,plain,
( spl0_3
| ~ spl0_2 ),
inference(rat,[],[s58,s22,s9,s24,s44,s45,s60,s31,s62,s61,s8]) ).
cnf(s64,plain,
( spl0_13
| ~ spl0_2 ),
inference(rat,[],[s34,s39,s41,s5,s43,s9,s48,s29,s52,s21,s25,s26,s6,s14,s17,s56,s63]) ).
cnf(s65,plain,
( spl0_10
| spl0_5
| ~ spl0_2 ),
inference(rat,[],[s46,s50,s53,s42,s60,s34,s26,s38,s5]) ).
cnf(s66,plain,
( spl0_5
| ~ spl0_2 ),
inference(rat,[],[s34,s39,s41,s43,s47,s49,s57,s27,s11,s65,s5,s64]) ).
cnf(s67,plain,
( spl0_10
| ~ spl0_2 ),
inference(rat,[],[s18,s14,s27,s6,s10,s26,s63,s64,s66]) ).
cnf(s68,plain,
~ spl0_2,
inference(rat,[],[s46,s50,s53,s55,s45,s30,s37,s9,s67,s35,s4,s66,s64]) ).
cnf(s69,plain,
spl0_1,
inference(rat,[],[s1,s68]) ).
cnf(s70,plain,
( spl0_13
| spl0_10 ),
inference(rat,[],[s6,s3,s14,s31,s17,s56,s44,s26,s69]) ).
cnf(s71,plain,
spl0_16,
inference(rat,[],[s2,s62,s32,s69]) ).
cnf(s72,plain,
( ~ spl0_13
| spl0_9 ),
inference(rat,[],[s55,s30,s71]) ).
cnf(s73,plain,
( spl0_10
| spl0_5 ),
inference(rat,[],[s72,s70,s12]) ).
cnf(s74,plain,
( ~ spl0_14
| ~ spl0_10 ),
inference(rat,[],[s33,s2,s43,s8,s48,s24,s52,s23,s69,s71]) ).
cnf(s75,plain,
( ~ spl0_10
| spl0_5 ),
inference(rat,[],[s33,s2,s43,s8,s47,s24,s49,s22,s28,s74,s11,s71,s69]) ).
cnf(s76,plain,
spl0_5,
inference(rat,[],[s75,s73]) ).
cnf(s77,plain,
spl0_13,
inference(rat,[],[s3,s6,s31,s25,s45,s21,s58,s74,s9,s14,s70,s17,s69,s71,s76]) ).
cnf(s79,plain,
spl0_9,
inference(rat,[],[s72,s77]) ).
cnf(s80,plain,
~ spl0_14,
inference(rat,[],[s55,s71,s77]) ).
cnf(s82,plain,
~ spl0_10,
inference(rat,[],[s9,s76,s79]) ).
cnf(s84,plain,
~ spl0_11,
inference(rat,[],[s18,s80]) ).
cnf(s86,plain,
spl0_17,
inference(rat,[],[s44,s82]) ).
cnf(s88,plain,
~ spl0_8,
inference(rat,[],[s26,s82]) ).
cnf(s90,plain,
~ spl0_7,
inference(rat,[],[s14,s84]) ).
cnf(s92,plain,
~ spl0_4,
inference(rat,[],[s31,s71,s86]) ).
cnf(s93,plain,
~ spl0_3,
inference(rat,[],[s6,s90,s88]) ).
cnf(s95,plain,
$false,
inference(rat,[],[s3,s69,s92,s93]) ).
fof(f207,plain,
$false,
inference(avatar_sat_refutation,[],[s95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.58 % Computer : n001.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sun Sep 27 10:58:01 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.61 Running first-order model finding
% 0.10/0.61 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.65 % (3384472)Will run a generic schedule for satisfiability detection.
% 0.14/0.65 % (3384481)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1396209120:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.65 % (3384481) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3384472-3384481"...
% 0.14/0.65 % (3384481)...printing done.
% 0.14/0.65 % (3384478)% WARNING: option uhcvi not known.
% 0.14/0.65 % (3384481)Refutation found. Thanks to Tanya!
% 0.14/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.65 % (3384481)------------------------------
% 0.14/0.65 % (3384481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.65 % (3384481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.65 % (3384481)CaDiCaL version: 2.1.3
% 0.14/0.65 % (3384481)Termination reason: Refutation
% 0.14/0.65 % (3384481)Time elapsed: 0.002 s
% 0.14/0.65 % (3384481)Peak memory usage: 12 MB
% 0.14/0.65 % (3384481)Instructions burned: 4 (million)
% 0.14/0.65 % (3384472)Success in time 0.028 s
% 0.14/0.65 % Vampire exiting
%------------------------------------------------------------------------------