%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 10:20:09 AM UTC 2026
% Result : Unsatisfiable 0.37s 0.95s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 81
% Syntax : Number of formulae : 227 ( 14 unt; 22 def)
% Number of atoms : 532 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 536 ( 231 ~; 283 |; 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/sandbox/benchmark/theBenchmark.p',clause_1A) ).
fof(f2,negated_conjecture,
( a11
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1B) ).
fof(f3,negated_conjecture,
( ~ a11
| ~ a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1C) ).
fof(f4,negated_conjecture,
( a12
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2A) ).
fof(f5,negated_conjecture,
( a12
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2B) ).
fof(f6,negated_conjecture,
( ~ a12
| ~ a
| ~ a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2C) ).
fof(f7,negated_conjecture,
( a13
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3A) ).
fof(f8,negated_conjecture,
( a13
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3B) ).
fof(f9,negated_conjecture,
( ~ a13
| ~ b
| ~ a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3C) ).
fof(f10,negated_conjecture,
( a14
| a12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4A) ).
fof(f11,negated_conjecture,
( a14
| a13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4B) ).
fof(f12,negated_conjecture,
( ~ a14
| ~ a12
| ~ a13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4C) ).
fof(f13,negated_conjecture,
( a15
| a14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5A) ).
fof(f14,negated_conjecture,
( a15
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5B) ).
fof(f15,negated_conjecture,
( ~ a15
| ~ a14
| ~ cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5C) ).
fof(f16,negated_conjecture,
( a16
| a14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6A) ).
fof(f17,negated_conjecture,
( a16
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6B) ).
fof(f18,negated_conjecture,
( ~ a16
| ~ a14
| ~ a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6C) ).
fof(f19,negated_conjecture,
( a17
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7A) ).
fof(f20,negated_conjecture,
( a17
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7B) ).
fof(f21,negated_conjecture,
( ~ a17
| ~ a15
| ~ cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7C) ).
fof(f22,negated_conjecture,
( s1
| a16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8A) ).
fof(f23,negated_conjecture,
( s1
| a17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8B) ).
fof(f24,negated_conjecture,
( ~ s1
| ~ a16
| ~ a17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8C) ).
fof(f25,negated_conjecture,
( c1
| a15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9A) ).
fof(f26,negated_conjecture,
( c1
| a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9B) ).
fof(f27,negated_conjecture,
( ~ c1
| ~ a15
| ~ a11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9C) ).
fof(f28,negated_conjecture,
( a21
| a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10A) ).
fof(f29,negated_conjecture,
( a21
| ~ a
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10B) ).
fof(f30,negated_conjecture,
( ~ a21
| a
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10C) ).
fof(f31,negated_conjecture,
( ~ a21
| ~ a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10D) ).
fof(f32,negated_conjecture,
( ~ a22
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11A) ).
fof(f33,negated_conjecture,
( ~ a22
| a23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11B) ).
fof(f34,negated_conjecture,
( a22
| ~ cI
| ~ a23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11C) ).
fof(f35,negated_conjecture,
( a23
| ~ a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12A) ).
fof(f36,negated_conjecture,
( a23
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12B) ).
fof(f37,negated_conjecture,
( ~ a23
| a
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12C) ).
fof(f38,negated_conjecture,
( a24
| cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13A) ).
fof(f39,negated_conjecture,
( ~ a24
| ~ cI ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13B) ).
fof(f40,negated_conjecture,
( ~ a25
| a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14A) ).
fof(f41,negated_conjecture,
( ~ a25
| b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14B) ).
fof(f42,negated_conjecture,
( a25
| ~ a
| ~ b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14C) ).
fof(f43,negated_conjecture,
( ~ a26
| a24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15A) ).
fof(f44,negated_conjecture,
( ~ a26
| a25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15B) ).
fof(f45,negated_conjecture,
( a26
| ~ a24
| ~ a25 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15C) ).
fof(f46,negated_conjecture,
( s2
| cI
| ~ a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16A) ).
fof(f47,negated_conjecture,
( s2
| ~ cI
| a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16B) ).
fof(f48,negated_conjecture,
( ~ s2
| cI
| a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16C) ).
fof(f49,negated_conjecture,
( ~ s2
| ~ cI
| ~ a21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16D) ).
fof(f50,negated_conjecture,
( c2
| ~ a22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17A) ).
fof(f51,negated_conjecture,
( c2
| ~ a26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17B) ).
fof(f52,negated_conjecture,
( ~ c2
| a22
| a26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17C) ).
fof(f55,negated_conjecture,
( ~ conjline18
| s1
| s2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18C) ).
fof(f56,negated_conjecture,
( ~ conjline18
| ~ s1
| ~ s2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18D) ).
fof(f57,negated_conjecture,
( conjline19
| c1
| ~ c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19A) ).
fof(f58,negated_conjecture,
( conjline19
| ~ c1
| c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19B) ).
fof(f59,negated_conjecture,
( ~ conjline19
| c1
| c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19C) ).
fof(f60,negated_conjecture,
( ~ conjline19
| ~ c1
| ~ c2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19D) ).
fof(f61,negated_conjecture,
( conjline18
| conjline19 ),
file('/export/starexec/sandbox/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(f81,plain,
( spl0_3
| ~ spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f58,f63,f76,f72]) ).
fof(f82,plain,
( ~ spl0_3
| spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f57,f63,f76,f72]) ).
fof(f84,definition,
( spl0_5
<=> s2 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f88,definition,
( spl0_6
<=> s1 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f91,plain,
( ~ spl0_5
| ~ spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f56,f67,f88,f84]) ).
fof(f92,plain,
( spl0_5
| spl0_6
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f55,f67,f88,f84]) ).
fof(f96,definition,
( spl0_7
<=> a26 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f100,definition,
( spl0_8
<=> a22 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f103,plain,
( spl0_7
| spl0_8
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f52,f72,f100,f96]) ).
fof(f104,plain,
( ~ spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f51,f72,f96]) ).
fof(f105,plain,
( ~ spl0_8
| spl0_3 ),
inference(avatar_split_clause,[],[f50,f72,f100]) ).
fof(f107,definition,
( spl0_9
<=> a21 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f111,definition,
( spl0_10
<=> cI ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f114,plain,
( ~ spl0_9
| ~ spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f49,f84,f111,f107]) ).
fof(f115,plain,
( spl0_9
| spl0_10
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f48,f84,f111,f107]) ).
fof(f116,plain,
( spl0_9
| ~ spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f47,f84,f111,f107]) ).
fof(f117,plain,
( ~ spl0_9
| spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f46,f84,f111,f107]) ).
fof(f119,definition,
( spl0_11
<=> a25 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f123,definition,
( spl0_12
<=> a24 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f126,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f45,f96,f123,f119]) ).
fof(f127,plain,
( spl0_11
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f44,f96,f119]) ).
fof(f128,plain,
( spl0_12
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f43,f96,f123]) ).
fof(f130,definition,
( spl0_13
<=> b ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f134,definition,
( spl0_14
<=> a ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f137,plain,
( ~ spl0_13
| ~ spl0_14
| spl0_11 ),
inference(avatar_split_clause,[],[f42,f119,f134,f130]) ).
fof(f138,plain,
( spl0_13
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f41,f119,f130]) ).
fof(f139,plain,
( spl0_14
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f40,f119,f134]) ).
fof(f140,plain,
( ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f39,f123,f111]) ).
fof(f141,plain,
( spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f123,f111]) ).
fof(f143,definition,
( spl0_15
<=> a23 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f146,plain,
( spl0_13
| spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f37,f143,f134,f130]) ).
fof(f147,plain,
( ~ spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f36,f143,f130]) ).
fof(f148,plain,
( ~ spl0_14
| spl0_15 ),
inference(avatar_split_clause,[],[f35,f143,f134]) ).
fof(f149,plain,
( ~ spl0_15
| ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f34,f100,f111,f143]) ).
fof(f150,plain,
( spl0_15
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f33,f100,f143]) ).
fof(f151,plain,
( spl0_10
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f32,f100,f111]) ).
fof(f152,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f31,f107,f134,f130]) ).
fof(f153,plain,
( spl0_13
| spl0_14
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f30,f107,f134,f130]) ).
fof(f154,plain,
( spl0_13
| ~ spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f29,f107,f134,f130]) ).
fof(f155,plain,
( ~ spl0_13
| spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f28,f107,f134,f130]) ).
fof(f157,definition,
( spl0_16
<=> a11 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f161,definition,
( spl0_17
<=> a15 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f164,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f27,f76,f161,f157]) ).
fof(f165,plain,
( spl0_16
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f76,f157]) ).
fof(f166,plain,
( spl0_17
| spl0_4 ),
inference(avatar_split_clause,[],[f25,f76,f161]) ).
fof(f168,definition,
( spl0_18
<=> a17 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f172,definition,
( spl0_19
<=> a16 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f175,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f24,f88,f172,f168]) ).
fof(f176,plain,
( spl0_18
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f88,f168]) ).
fof(f177,plain,
( spl0_19
| spl0_6 ),
inference(avatar_split_clause,[],[f22,f88,f172]) ).
fof(f178,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f21,f168,f161,f111]) ).
fof(f179,plain,
( spl0_10
| spl0_18 ),
inference(avatar_split_clause,[],[f20,f168,f111]) ).
fof(f180,plain,
( spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f19,f168,f161]) ).
fof(f182,definition,
( spl0_20
<=> a14 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f185,plain,
( ~ spl0_17
| ~ spl0_20
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f18,f172,f182,f161]) ).
fof(f186,plain,
( spl0_17
| spl0_19 ),
inference(avatar_split_clause,[],[f17,f172,f161]) ).
fof(f187,plain,
( spl0_20
| spl0_19 ),
inference(avatar_split_clause,[],[f16,f172,f182]) ).
fof(f188,plain,
( ~ spl0_10
| ~ spl0_20
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f15,f161,f182,f111]) ).
fof(f189,plain,
( spl0_10
| spl0_17 ),
inference(avatar_split_clause,[],[f14,f161,f111]) ).
fof(f190,plain,
( spl0_20
| spl0_17 ),
inference(avatar_split_clause,[],[f13,f161,f182]) ).
fof(f192,definition,
( spl0_21
<=> a13 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f196,definition,
( spl0_22
<=> a12 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f199,plain,
( ~ spl0_21
| ~ spl0_22
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f12,f182,f196,f192]) ).
fof(f200,plain,
( spl0_21
| spl0_20 ),
inference(avatar_split_clause,[],[f11,f182,f192]) ).
fof(f201,plain,
( spl0_22
| spl0_20 ),
inference(avatar_split_clause,[],[f10,f182,f196]) ).
fof(f202,plain,
( ~ spl0_16
| ~ spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f9,f192,f130,f157]) ).
fof(f203,plain,
( spl0_16
| spl0_21 ),
inference(avatar_split_clause,[],[f8,f192,f157]) ).
fof(f204,plain,
( spl0_13
| spl0_21 ),
inference(avatar_split_clause,[],[f7,f192,f130]) ).
fof(f205,plain,
( ~ spl0_16
| ~ spl0_14
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f6,f196,f134,f157]) ).
fof(f206,plain,
( spl0_16
| spl0_22 ),
inference(avatar_split_clause,[],[f5,f196,f157]) ).
fof(f207,plain,
( spl0_14
| spl0_22 ),
inference(avatar_split_clause,[],[f4,f196,f134]) ).
fof(f208,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f3,f157,f134,f130]) ).
fof(f209,plain,
( spl0_13
| spl0_16 ),
inference(avatar_split_clause,[],[f2,f157,f130]) ).
fof(f210,plain,
( spl0_14
| spl0_16 ),
inference(avatar_split_clause,[],[f1,f157,f134]) ).
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_1
| spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s7,plain,
( ~ spl0_2
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f92]) ).
cnf(s10,plain,
( ~ spl0_3
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f103]) ).
cnf(s11,plain,
( spl0_3
| ~ spl0_7 ),
inference(sat_conversion,[],[f104]) ).
cnf(s12,plain,
( spl0_3
| ~ spl0_8 ),
inference(sat_conversion,[],[f105]) ).
cnf(s13,plain,
( ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f114]) ).
cnf(s14,plain,
( ~ spl0_5
| spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f115]) ).
cnf(s15,plain,
( spl0_5
| spl0_9
| ~ spl0_10 ),
inference(sat_conversion,[],[f116]) ).
cnf(s16,plain,
( spl0_5
| ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f117]) ).
cnf(s17,plain,
( spl0_7
| ~ spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f126]) ).
cnf(s18,plain,
( ~ spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f127]) ).
cnf(s19,plain,
( ~ spl0_7
| spl0_12 ),
inference(sat_conversion,[],[f128]) ).
cnf(s20,plain,
( spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f137]) ).
cnf(s21,plain,
( ~ spl0_11
| spl0_13 ),
inference(sat_conversion,[],[f138]) ).
cnf(s22,plain,
( ~ spl0_11
| spl0_14 ),
inference(sat_conversion,[],[f139]) ).
cnf(s23,plain,
( ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f140]) ).
cnf(s24,plain,
( spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f141]) ).
cnf(s25,plain,
( spl0_13
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f146]) ).
cnf(s26,plain,
( ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f147]) ).
cnf(s27,plain,
( ~ spl0_14
| spl0_15 ),
inference(sat_conversion,[],[f148]) ).
cnf(s28,plain,
( spl0_8
| ~ spl0_10
| ~ spl0_15 ),
inference(sat_conversion,[],[f149]) ).
cnf(s29,plain,
( ~ spl0_8
| spl0_15 ),
inference(sat_conversion,[],[f150]) ).
cnf(s30,plain,
( ~ spl0_8
| spl0_10 ),
inference(sat_conversion,[],[f151]) ).
cnf(s31,plain,
( ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f152]) ).
cnf(s32,plain,
( ~ spl0_9
| spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f153]) ).
cnf(s33,plain,
( spl0_9
| spl0_13
| ~ spl0_14 ),
inference(sat_conversion,[],[f154]) ).
cnf(s34,plain,
( spl0_9
| ~ spl0_13
| spl0_14 ),
inference(sat_conversion,[],[f155]) ).
cnf(s35,plain,
( ~ spl0_4
| ~ spl0_16
| ~ spl0_17 ),
inference(sat_conversion,[],[f164]) ).
cnf(s36,plain,
( spl0_4
| spl0_16 ),
inference(sat_conversion,[],[f165]) ).
cnf(s37,plain,
( spl0_4
| spl0_17 ),
inference(sat_conversion,[],[f166]) ).
cnf(s38,plain,
( ~ spl0_6
| ~ spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f175]) ).
cnf(s39,plain,
( spl0_6
| spl0_18 ),
inference(sat_conversion,[],[f176]) ).
cnf(s40,plain,
( spl0_6
| spl0_19 ),
inference(sat_conversion,[],[f177]) ).
cnf(s41,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_18 ),
inference(sat_conversion,[],[f178]) ).
cnf(s42,plain,
( spl0_10
| spl0_18 ),
inference(sat_conversion,[],[f179]) ).
cnf(s43,plain,
( spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f180]) ).
cnf(s44,plain,
( ~ spl0_17
| ~ spl0_19
| ~ spl0_20 ),
inference(sat_conversion,[],[f185]) ).
cnf(s45,plain,
( spl0_17
| spl0_19 ),
inference(sat_conversion,[],[f186]) ).
cnf(s46,plain,
( spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f187]) ).
cnf(s47,plain,
( ~ spl0_10
| ~ spl0_17
| ~ spl0_20 ),
inference(sat_conversion,[],[f188]) ).
cnf(s48,plain,
( spl0_10
| spl0_17 ),
inference(sat_conversion,[],[f189]) ).
cnf(s49,plain,
( spl0_17
| spl0_20 ),
inference(sat_conversion,[],[f190]) ).
cnf(s50,plain,
( ~ spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f199]) ).
cnf(s51,plain,
( spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f200]) ).
cnf(s52,plain,
( spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f201]) ).
cnf(s53,plain,
( ~ spl0_13
| ~ spl0_16
| ~ spl0_21 ),
inference(sat_conversion,[],[f202]) ).
cnf(s54,plain,
( spl0_16
| spl0_21 ),
inference(sat_conversion,[],[f203]) ).
cnf(s55,plain,
( spl0_13
| spl0_21 ),
inference(sat_conversion,[],[f204]) ).
cnf(s56,plain,
( ~ spl0_14
| ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f205]) ).
cnf(s57,plain,
( spl0_16
| spl0_22 ),
inference(sat_conversion,[],[f206]) ).
cnf(s58,plain,
( spl0_14
| spl0_22 ),
inference(sat_conversion,[],[f207]) ).
cnf(s59,plain,
( ~ spl0_13
| ~ spl0_14
| ~ spl0_16 ),
inference(sat_conversion,[],[f208]) ).
cnf(s60,plain,
( spl0_13
| spl0_16 ),
inference(sat_conversion,[],[f209]) ).
cnf(s61,plain,
( spl0_14
| spl0_16 ),
inference(sat_conversion,[],[f210]) ).
cnf(s62,plain,
( spl0_13
| ~ spl0_20
| spl0_9 ),
inference(rat,[],[s58,s50,s33,s55]) ).
cnf(s63,plain,
( spl0_9
| ~ spl0_6
| spl0_5
| ~ spl0_16 ),
inference(rat,[],[s34,s59,s62,s46,s38,s42,s15]) ).
cnf(s64,plain,
( spl0_5
| ~ spl0_16
| spl0_8
| ~ spl0_2 ),
inference(rat,[],[s32,s26,s27,s28,s16,s63,s7]) ).
cnf(s65,plain,
( spl0_3
| spl0_1 ),
inference(rat,[],[s32,s53,s56,s14,s51,s52,s41,s44,s39,s40,s6,s64,s36,s37,s4,s12,s1]) ).
cnf(s66,plain,
( spl0_9
| spl0_5
| ~ spl0_6 ),
inference(rat,[],[s46,s50,s38,s54,s57,s42,s63,s15]) ).
cnf(s67,plain,
( spl0_17
| ~ spl0_6 ),
inference(rat,[],[s38,s43,s45]) ).
cnf(s68,plain,
( ~ spl0_6
| spl0_1 ),
inference(rat,[],[s31,s60,s61,s35,s67,s66,s6,s1,s5,s65]) ).
cnf(s69,plain,
( ~ spl0_16
| spl0_1 ),
inference(rat,[],[s34,s59,s62,s13,s48,s49,s35,s5,s65,s7,s68,s1]) ).
cnf(s70,plain,
spl0_1,
inference(rat,[],[s41,s49,s14,s50,s31,s54,s57,s60,s61,s69,s7,s39,s68,s1]) ).
cnf(s71,plain,
( ~ spl0_6
| spl0_9
| ~ spl0_16 ),
inference(rat,[],[s25,s29,s53,s56,s10,s51,s52,s19,s47,s23,s3,s14,s35,s66,s67,s70]) ).
cnf(s72,plain,
( spl0_4
| spl0_6
| ~ spl0_16 ),
inference(rat,[],[s18,s22,s10,s56,s30,s52,s41,s44,s3,s37,s40,s39,s70]) ).
cnf(s73,plain,
( spl0_9
| ~ spl0_16 ),
inference(rat,[],[s26,s62,s28,s48,s49,s12,s35,s2,s72,s71,s70]) ).
cnf(s74,plain,
( ~ spl0_11
| ~ spl0_16 ),
inference(rat,[],[s59,s21,s22]) ).
cnf(s75,plain,
( spl0_20
| ~ spl0_16 ),
inference(rat,[],[s32,s53,s56,s51,s52,s73]) ).
cnf(s76,plain,
( ~ spl0_17
| ~ spl0_16 ),
inference(rat,[],[s10,s30,s3,s47,s35,s18,s74,s75,s70]) ).
cnf(s77,plain,
~ spl0_16,
inference(rat,[],[s32,s26,s27,s28,s12,s2,s37,s48,s76,s73,s70]) ).
cnf(s78,plain,
spl0_14,
inference(rat,[],[s61,s77]) ).
cnf(s79,plain,
spl0_13,
inference(rat,[],[s60,s77]) ).
cnf(s82,plain,
spl0_4,
inference(rat,[],[s36,s77]) ).
cnf(s83,plain,
spl0_15,
inference(rat,[],[s27,s78]) ).
cnf(s85,plain,
spl0_11,
inference(rat,[],[s20,s78,s79]) ).
cnf(s87,plain,
~ spl0_3,
inference(rat,[],[s2,s70,s82]) ).
cnf(s90,plain,
~ spl0_8,
inference(rat,[],[s12,s87]) ).
cnf(s91,plain,
~ spl0_7,
inference(rat,[],[s11,s87]) ).
cnf(s92,plain,
~ spl0_10,
inference(rat,[],[s28,s83,s90]) ).
cnf(s93,plain,
~ spl0_12,
inference(rat,[],[s17,s85,s91]) ).
cnf(s95,plain,
$false,
inference(rat,[],[s24,s93,s92]) ).
fof(f211,plain,
$false,
inference(avatar_sat_refutation,[],[s95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV003-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:51:37 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.95 % (46405)Input is clausal, will run a generic CNF schedule.
% 0.37/0.95 % (46416)dis-21_1_sil=8000:lcm=predicate:random_seed=2099317617:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.37/0.95 % (46415)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1939524575:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.37/0.95 % (46414)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1941537747:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.37/0.95 % (46411)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1648423790:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.37/0.95 % (46413)lrs+10_1_sil=8000:sp=occurrence:random_seed=2749171745:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.37/0.95 % (46412)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1157458732:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.37/0.95 % (46410)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3781285720:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.37/0.95 % (46416)Also succeeded, but the first one will report.
% 0.37/0.95 % (46414)Also succeeded, but the first one will report.
% 0.37/0.95 % (46413)Also succeeded, but the first one will report.
% 0.37/0.95 % (46415)First to succeed.
% 0.37/0.95 % (46415)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-46405"
% 0.37/0.95 % (46415)Refutation found. Thanks to Tanya!
% 0.37/0.95 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.95 % SZS output start Proof for theBenchmark
% See solution above
% 2.79/1.15 % (46415)------------------------------
% 2.79/1.15 % (46415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.15 % (46415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.15 % (46415)CaDiCaL version: 2.1.3
% 2.79/1.15 % (46415)Termination reason: Refutation
% 2.79/1.15 % (46415)Time elapsed: 0.004 s
% 2.79/1.15 % (46415)Peak memory usage: 88 MB
% 2.79/1.15 % (46415)Instructions burned: 4 (million)
% 2.79/1.15 % (46415)------------------------------
% 2.79/1.15 % (46415)------------------------------
% 2.79/1.15 % (46405)Success in time 0.336 s
% 2.79/1.15 % Vampire exiting
%------------------------------------------------------------------------------