%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 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 02:06:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 53
% Syntax : Number of formulae : 153 ( 42 unt; 26 def)
% Number of atoms : 603 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 768 ( 318 ~; 424 |; 0 &)
% ( 26 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 53 ( 52 usr; 53 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,
~ p_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f24,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f25,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
fof(f26,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
fof(f27,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
fof(f28,plain,
p_0,
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f29,plain,
( ~ p_0
| p_1_1
| p_1_2
| ~ p_1_3
| ~ p_1_4
| p_1_5 ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f30,plain,
( ~ p_1_1
| ~ p_2_1
| p_2_2
| p_2_3
| p_2_4
| p_2_5 ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f31,plain,
( ~ p_1_2
| ~ p_2_1
| p_2_2
| p_2_3
| p_2_4
| p_2_5 ),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f32,plain,
( p_1_3
| ~ p_2_1
| p_2_2
| p_2_3
| p_2_4
| p_2_5 ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f33,plain,
( p_1_4
| ~ p_2_1
| p_2_2
| p_2_3
| p_2_4
| p_2_5 ),
inference(consistent_polarity_flipping,[],[f6]) ).
fof(f34,plain,
( ~ p_1_5
| ~ p_2_1
| p_2_2
| p_2_3
| p_2_4
| p_2_5 ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f35,plain,
( p_2_1
| ~ p_3_1
| p_3_2
| p_3_3
| p_3_4
| ~ p_3_5 ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f36,plain,
( ~ p_2_2
| ~ p_3_1
| p_3_2
| p_3_3
| p_3_4
| ~ p_3_5 ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f37,plain,
( ~ p_2_3
| ~ p_3_1
| p_3_2
| p_3_3
| p_3_4
| ~ p_3_5 ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f38,plain,
( ~ p_2_4
| ~ p_3_1
| p_3_2
| p_3_3
| p_3_4
| ~ p_3_5 ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f39,plain,
( ~ p_2_5
| ~ p_3_1
| p_3_2
| p_3_3
| p_3_4
| ~ p_3_5 ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f40,plain,
( p_3_1
| ~ p_4_1
| p_4_2
| ~ p_4_3
| p_4_4
| ~ p_4_5 ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f41,plain,
( ~ p_3_2
| ~ p_4_1
| p_4_2
| ~ p_4_3
| p_4_4
| ~ p_4_5 ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f42,plain,
( ~ p_3_3
| ~ p_4_1
| p_4_2
| ~ p_4_3
| p_4_4
| ~ p_4_5 ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f43,plain,
( ~ p_3_4
| ~ p_4_1
| p_4_2
| ~ p_4_3
| p_4_4
| ~ p_4_5 ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f44,plain,
( p_3_5
| ~ p_4_1
| p_4_2
| ~ p_4_3
| p_4_4
| ~ p_4_5 ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f45,plain,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| p_5_5 ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f46,plain,
( ~ p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| p_5_5 ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f47,plain,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| p_5_5 ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f48,plain,
( ~ p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| p_5_5 ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f49,plain,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| p_5_5 ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f50,plain,
~ p_5_5,
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f52,definition,
( spl0_1
<=> p_5_5 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f56,definition,
( spl0_2
<=> p_5_4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f60,definition,
( spl0_3
<=> p_5_3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f64,definition,
( spl0_4
<=> p_5_2 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,definition,
( spl0_5
<=> p_5_1 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f72,definition,
( spl0_6
<=> p_4_5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f75,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f49,f72,f68,f64,f60,f56,f52]) ).
fof(f77,definition,
( spl0_7
<=> p_4_4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f80,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f48,f77,f68,f64,f60,f56,f52]) ).
fof(f82,definition,
( spl0_8
<=> p_4_3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f85,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f47,f82,f68,f64,f60,f56,f52]) ).
fof(f87,definition,
( spl0_9
<=> p_4_2 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f90,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f46,f87,f68,f64,f60,f56,f52]) ).
fof(f92,definition,
( spl0_10
<=> p_4_1 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f95,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f45,f92,f68,f64,f60,f56,f52]) ).
fof(f97,definition,
( spl0_11
<=> p_3_5 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f100,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f44,f97,f92,f87,f82,f77,f72]) ).
fof(f102,definition,
( spl0_12
<=> p_3_4 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f105,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f43,f102,f92,f87,f82,f77,f72]) ).
fof(f107,definition,
( spl0_13
<=> p_3_3 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f110,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f42,f107,f92,f87,f82,f77,f72]) ).
fof(f112,definition,
( spl0_14
<=> p_3_2 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f115,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f41,f112,f92,f87,f82,f77,f72]) ).
fof(f117,definition,
( spl0_15
<=> p_3_1 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f120,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f40,f117,f92,f87,f82,f77,f72]) ).
fof(f122,definition,
( spl0_16
<=> p_2_5 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f125,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f39,f122,f117,f112,f107,f102,f97]) ).
fof(f127,definition,
( spl0_17
<=> p_2_4 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f130,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f38,f127,f117,f112,f107,f102,f97]) ).
fof(f132,definition,
( spl0_18
<=> p_2_3 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f135,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f37,f132,f117,f112,f107,f102,f97]) ).
fof(f137,definition,
( spl0_19
<=> p_2_2 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f140,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f36,f137,f117,f112,f107,f102,f97]) ).
fof(f142,definition,
( spl0_20
<=> p_2_1 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f145,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f35,f142,f117,f112,f107,f102,f97]) ).
fof(f147,definition,
( spl0_21
<=> p_1_5 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f150,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f34,f147,f142,f137,f132,f127,f122]) ).
fof(f152,definition,
( spl0_22
<=> p_1_4 ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f155,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| spl0_22 ),
inference(avatar_split_clause,[],[f33,f152,f142,f137,f132,f127,f122]) ).
fof(f157,definition,
( spl0_23
<=> p_1_3 ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f160,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| spl0_23 ),
inference(avatar_split_clause,[],[f32,f157,f142,f137,f132,f127,f122]) ).
fof(f162,definition,
( spl0_24
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f165,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f31,f162,f142,f137,f132,f127,f122]) ).
fof(f167,definition,
( spl0_25
<=> p_1_1 ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f170,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f30,f167,f142,f137,f132,f127,f122]) ).
fof(f172,definition,
( spl0_26
<=> p_0 ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f175,plain,
( spl0_21
| ~ spl0_22
| ~ spl0_23
| spl0_24
| spl0_25
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f29,f172,f167,f162,f157,f152,f147]) ).
fof(f176,plain,
spl0_26,
inference(avatar_split_clause,[],[f28,f172]) ).
fof(f177,plain,
spl0_5,
inference(avatar_split_clause,[],[f23,f68]) ).
fof(f178,plain,
spl0_4,
inference(avatar_split_clause,[],[f24,f64]) ).
fof(f179,plain,
spl0_3,
inference(avatar_split_clause,[],[f25,f60]) ).
fof(f180,plain,
spl0_2,
inference(avatar_split_clause,[],[f26,f56]) ).
fof(f181,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f50,f52]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f75]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f80]) ).
cnf(s3,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f85]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(sat_conversion,[],[f90]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f95]) ).
cnf(s6,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f100]) ).
cnf(s7,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(sat_conversion,[],[f105]) ).
cnf(s8,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f110]) ).
cnf(s9,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_14 ),
inference(sat_conversion,[],[f115]) ).
cnf(s10,plain,
( ~ spl0_6
| spl0_7
| ~ spl0_8
| spl0_9
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f120]) ).
cnf(s11,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f125]) ).
cnf(s12,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_17 ),
inference(sat_conversion,[],[f130]) ).
cnf(s13,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_18 ),
inference(sat_conversion,[],[f135]) ).
cnf(s14,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| ~ spl0_19 ),
inference(sat_conversion,[],[f140]) ).
cnf(s15,plain,
( ~ spl0_11
| spl0_12
| spl0_13
| spl0_14
| ~ spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f145]) ).
cnf(s16,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f150]) ).
cnf(s17,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| spl0_22 ),
inference(sat_conversion,[],[f155]) ).
cnf(s18,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| spl0_23 ),
inference(sat_conversion,[],[f160]) ).
cnf(s19,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| ~ spl0_24 ),
inference(sat_conversion,[],[f165]) ).
cnf(s20,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19
| ~ spl0_20
| ~ spl0_25 ),
inference(sat_conversion,[],[f170]) ).
cnf(s21,plain,
( spl0_21
| ~ spl0_22
| ~ spl0_23
| spl0_24
| spl0_25
| ~ spl0_26 ),
inference(sat_conversion,[],[f175]) ).
cnf(s22,plain,
spl0_26,
inference(sat_conversion,[],[f176]) ).
cnf(s23,plain,
spl0_5,
inference(sat_conversion,[],[f177]) ).
cnf(s24,plain,
spl0_4,
inference(sat_conversion,[],[f178]) ).
cnf(s25,plain,
spl0_3,
inference(sat_conversion,[],[f179]) ).
cnf(s26,plain,
spl0_2,
inference(sat_conversion,[],[f180]) ).
cnf(s27,plain,
~ spl0_1,
inference(sat_conversion,[],[f181]) ).
cnf(s28,plain,
( spl0_21
| ~ spl0_22
| ~ spl0_23
| spl0_24
| spl0_25 ),
inference(rat,[],[s21,s22]) ).
cnf(s29,plain,
spl0_10,
inference(rat,[],[s5,s23,s24,s25,s26,s27]) ).
cnf(s30,plain,
~ spl0_9,
inference(rat,[],[s4,s23,s24,s25,s26,s27]) ).
cnf(s31,plain,
spl0_8,
inference(rat,[],[s3,s23,s24,s25,s26,s27]) ).
cnf(s32,plain,
~ spl0_7,
inference(rat,[],[s2,s23,s24,s25,s26,s27]) ).
cnf(s33,plain,
spl0_6,
inference(rat,[],[s1,s23,s24,s25,s26,s27]) ).
cnf(s34,plain,
spl0_15,
inference(rat,[],[s10,s32,s29,s30,s31,s33]) ).
cnf(s35,plain,
~ spl0_14,
inference(rat,[],[s9,s32,s29,s30,s31,s33]) ).
cnf(s36,plain,
~ spl0_13,
inference(rat,[],[s8,s32,s29,s30,s31,s33]) ).
cnf(s37,plain,
~ spl0_12,
inference(rat,[],[s7,s32,s29,s30,s31,s33]) ).
cnf(s38,plain,
spl0_11,
inference(rat,[],[s6,s32,s29,s30,s31,s33]) ).
cnf(s39,plain,
spl0_20,
inference(rat,[],[s15,s37,s34,s35,s36,s38]) ).
cnf(s40,plain,
~ spl0_19,
inference(rat,[],[s14,s37,s34,s35,s36,s38]) ).
cnf(s41,plain,
~ spl0_18,
inference(rat,[],[s13,s37,s34,s35,s36,s38]) ).
cnf(s42,plain,
~ spl0_17,
inference(rat,[],[s12,s37,s34,s35,s36,s38]) ).
cnf(s43,plain,
~ spl0_16,
inference(rat,[],[s11,s37,s34,s35,s36,s38]) ).
cnf(s44,plain,
~ spl0_25,
inference(rat,[],[s20,s42,s39,s40,s41,s43]) ).
cnf(s45,plain,
~ spl0_24,
inference(rat,[],[s19,s42,s39,s40,s41,s43]) ).
cnf(s46,plain,
spl0_23,
inference(rat,[],[s18,s42,s39,s40,s41,s43]) ).
cnf(s47,plain,
spl0_22,
inference(rat,[],[s17,s42,s39,s40,s41,s43]) ).
cnf(s48,plain,
~ spl0_21,
inference(rat,[],[s16,s42,s39,s40,s41,s43]) ).
cnf(s49,plain,
$false,
inference(rat,[],[s28,s44,s45,s46,s47,s48]) ).
fof(f182,plain,
$false,
inference(avatar_sat_refutation,[],[s49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 15:25:48 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.09/0.25 % (429023)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (429029)% WARNING: option uhcvi not known.
% 0.09/0.25 % (429029)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1569569714:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.25 % (429029) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-429023-429029"...
% 0.09/0.25 % (429029)...printing done.
% 0.09/0.25 % (429029)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (429029)------------------------------
% 0.09/0.25 % (429029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (429029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (429029)CaDiCaL version: 2.1.3
% 0.09/0.25 % (429029)Termination reason: Refutation
% 0.09/0.25 % (429029)Time elapsed: 0.001 s
% 0.09/0.25 % (429029)Peak memory usage: 12 MB
% 0.09/0.25 % (429029)Instructions burned: 3 (million)
% 0.09/0.25 % (429023)Success in time 0.025 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------