%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n004.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 01:48:59 PM UTC 2026
% Result : Unsatisfiable 0.62s 0.93s
% Output : Refutation 2.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 48
% Syntax : Number of formulae : 135 ( 40 unt; 21 def)
% Number of atoms : 475 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 663 ( 323 ~; 319 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 48 ( 47 usr; 48 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_4_5
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f22,f23]) ).
fof(f29,plain,
( p_4_4
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f21,f23]) ).
fof(f30,plain,
( p_4_3
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f20,f23]) ).
fof(f31,plain,
( p_4_2
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f19,f23]) ).
fof(f32,plain,
( p_4_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f18,f23]) ).
fof(f34,definition,
( spl0_1
<=> p_4_5 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f38,definition,
( spl0_2
<=> p_4_4 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f42,definition,
( spl0_3
<=> p_4_3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f46,definition,
( spl0_4
<=> p_4_2 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f50,definition,
( spl0_5
<=> p_4_1 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f54,definition,
( spl0_6
<=> p_3_5 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f57,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f17,f54,f50,f46,f42,f38,f34]) ).
fof(f59,definition,
( spl0_7
<=> p_3_4 ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f62,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f59,f50,f46,f42,f38,f34]) ).
fof(f64,definition,
( spl0_8
<=> p_3_3 ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f67,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f64,f50,f46,f42,f38,f34]) ).
fof(f69,definition,
( spl0_9
<=> p_3_2 ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f72,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f14,f69,f50,f46,f42,f38,f34]) ).
fof(f74,definition,
( spl0_10
<=> p_3_1 ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f77,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f13,f74,f50,f46,f42,f38,f34]) ).
fof(f79,definition,
( spl0_11
<=> p_2_5 ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f82,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f12,f79,f74,f69,f64,f59,f54]) ).
fof(f84,definition,
( spl0_12
<=> p_2_4 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f87,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(avatar_split_clause,[],[f11,f84,f74,f69,f64,f59,f54]) ).
fof(f89,definition,
( spl0_13
<=> p_2_3 ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f92,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_13 ),
inference(avatar_split_clause,[],[f10,f89,f74,f69,f64,f59,f54]) ).
fof(f94,definition,
( spl0_14
<=> p_2_2 ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f97,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14 ),
inference(avatar_split_clause,[],[f9,f94,f74,f69,f64,f59,f54]) ).
fof(f99,definition,
( spl0_15
<=> p_2_1 ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f102,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(avatar_split_clause,[],[f8,f99,f74,f69,f64,f59,f54]) ).
fof(f104,definition,
( spl0_16
<=> p_1_5 ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f107,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f7,f104,f99,f94,f89,f84,f79]) ).
fof(f109,definition,
( spl0_17
<=> p_1_4 ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f112,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(avatar_split_clause,[],[f6,f109,f99,f94,f89,f84,f79]) ).
fof(f114,definition,
( spl0_18
<=> p_1_3 ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f117,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f5,f114,f99,f94,f89,f84,f79]) ).
fof(f119,definition,
( spl0_19
<=> p_1_2 ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f122,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(avatar_split_clause,[],[f4,f119,f99,f94,f89,f84,f79]) ).
fof(f124,definition,
( spl0_20
<=> p_1_1 ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f127,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_20 ),
inference(avatar_split_clause,[],[f3,f124,f99,f94,f89,f84,f79]) ).
fof(f129,definition,
( spl0_21
<=> p_0 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f132,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f2,f129,f124,f119,f114,f109,f104]) ).
fof(f133,plain,
~ spl0_21,
inference(avatar_split_clause,[],[f1,f129]) ).
fof(f134,plain,
( p_4_5
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f28,f24]) ).
fof(f135,plain,
( p_4_4
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f29,f24]) ).
fof(f136,plain,
( p_4_3
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f30,f24]) ).
fof(f137,plain,
( p_4_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f31,f24]) ).
fof(f138,plain,
( p_4_1
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f32,f24]) ).
fof(f139,plain,
( p_4_5
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f134,f25]) ).
fof(f140,plain,
( p_4_4
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f135,f25]) ).
fof(f141,plain,
( p_4_3
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f136,f25]) ).
fof(f142,plain,
( p_4_2
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f137,f25]) ).
fof(f143,plain,
( p_4_1
| ~ p_5_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f138,f25]) ).
fof(f144,plain,
( p_4_5
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f139,f26]) ).
fof(f145,plain,
( p_4_4
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f140,f26]) ).
fof(f146,plain,
( p_4_3
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f141,f26]) ).
fof(f147,plain,
( p_4_2
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f142,f26]) ).
fof(f148,plain,
( p_4_1
| ~ p_5_5 ),
inference(forward_subsumption_resolution,[],[f143,f26]) ).
fof(f149,plain,
p_4_5,
inference(forward_subsumption_resolution,[],[f144,f27]) ).
fof(f150,plain,
p_4_4,
inference(forward_subsumption_resolution,[],[f145,f27]) ).
fof(f151,plain,
p_4_3,
inference(forward_subsumption_resolution,[],[f146,f27]) ).
fof(f152,plain,
p_4_2,
inference(forward_subsumption_resolution,[],[f147,f27]) ).
fof(f153,plain,
p_4_1,
inference(forward_subsumption_resolution,[],[f148,f27]) ).
fof(f154,plain,
spl0_1,
inference(avatar_split_clause,[],[f149,f34]) ).
fof(f155,plain,
spl0_2,
inference(avatar_split_clause,[],[f150,f38]) ).
fof(f156,plain,
spl0_3,
inference(avatar_split_clause,[],[f151,f42]) ).
fof(f157,plain,
spl0_4,
inference(avatar_split_clause,[],[f152,f46]) ).
fof(f158,plain,
spl0_5,
inference(avatar_split_clause,[],[f153,f50]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f57]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_7 ),
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(sat_conversion,[],[f67]) ).
cnf(s4,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f72]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| spl0_10 ),
inference(sat_conversion,[],[f77]) ).
cnf(s6,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f82]) ).
cnf(s7,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f87]) ).
cnf(s8,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f92]) ).
cnf(s9,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_14 ),
inference(sat_conversion,[],[f97]) ).
cnf(s10,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_15 ),
inference(sat_conversion,[],[f102]) ).
cnf(s11,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f107]) ).
cnf(s12,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_17 ),
inference(sat_conversion,[],[f112]) ).
cnf(s13,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f117]) ).
cnf(s14,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_19 ),
inference(sat_conversion,[],[f122]) ).
cnf(s15,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| spl0_20 ),
inference(sat_conversion,[],[f127]) ).
cnf(s16,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f132]) ).
cnf(s17,plain,
~ spl0_21,
inference(sat_conversion,[],[f133]) ).
cnf(s18,plain,
spl0_1,
inference(sat_conversion,[],[f154]) ).
cnf(s19,plain,
spl0_2,
inference(sat_conversion,[],[f155]) ).
cnf(s20,plain,
spl0_3,
inference(sat_conversion,[],[f156]) ).
cnf(s21,plain,
spl0_4,
inference(sat_conversion,[],[f157]) ).
cnf(s22,plain,
spl0_5,
inference(sat_conversion,[],[f158]) ).
cnf(s23,plain,
( ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20 ),
inference(rat,[],[s16,s17]) ).
cnf(s24,plain,
spl0_10,
inference(rat,[],[s5,s22,s21,s20,s19,s18]) ).
cnf(s25,plain,
spl0_9,
inference(rat,[],[s4,s22,s21,s20,s19,s18]) ).
cnf(s26,plain,
spl0_8,
inference(rat,[],[s3,s22,s21,s20,s19,s18]) ).
cnf(s27,plain,
spl0_7,
inference(rat,[],[s2,s22,s21,s20,s19,s18]) ).
cnf(s28,plain,
spl0_6,
inference(rat,[],[s1,s22,s21,s20,s19,s18]) ).
cnf(s29,plain,
spl0_15,
inference(rat,[],[s10,s27,s24,s25,s26,s28]) ).
cnf(s30,plain,
spl0_14,
inference(rat,[],[s9,s27,s24,s25,s26,s28]) ).
cnf(s31,plain,
spl0_13,
inference(rat,[],[s8,s27,s24,s25,s26,s28]) ).
cnf(s32,plain,
spl0_12,
inference(rat,[],[s7,s27,s24,s25,s26,s28]) ).
cnf(s33,plain,
spl0_11,
inference(rat,[],[s6,s27,s24,s25,s26,s28]) ).
cnf(s34,plain,
spl0_20,
inference(rat,[],[s15,s32,s29,s30,s31,s33]) ).
cnf(s35,plain,
spl0_19,
inference(rat,[],[s14,s32,s29,s30,s31,s33]) ).
cnf(s36,plain,
spl0_18,
inference(rat,[],[s13,s32,s29,s30,s31,s33]) ).
cnf(s37,plain,
spl0_17,
inference(rat,[],[s12,s32,s29,s30,s31,s33]) ).
cnf(s38,plain,
spl0_16,
inference(rat,[],[s11,s32,s29,s30,s31,s33]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s23,s34,s35,s36,s37,s38]) ).
fof(f159,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.16 % Computer : n004.cluster.edu
% 0.07/0.16 % Model : x86_64 x86_64
% 0.07/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.16 % Memory : 8046.5625MB
% 0.07/0.16 % OS : Linux 6.8.0-71-generic
% 0.07/0.16 % CPULimit : 300
% 0.07/0.16 % WCLimit : 300
% 0.07/0.16 % DateTime : Mon Sep 28 15:19:52 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 Running first-order theorem proving
% 0.07/0.19 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.93 % (456066)Input is clausal, will run a generic CNF schedule.
% 0.62/0.93 % (456074)lrs+10_1_sil=8000:sp=occurrence:random_seed=2068724575:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.62/0.93 % (456074)First to succeed.
% 0.62/0.93 % (456074)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-456066"
% 0.62/0.93 % (456073)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3647913439:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.62/0.93 % (456071)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=3563445506:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.62/0.93 % (456075)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=209520605:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.62/0.93 % (456076)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1963557454:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.62/0.93 % (456077)dis-21_1_sil=8000:lcm=predicate:random_seed=486475135: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)
% 0.62/0.93 % (456072)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1956157847:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.62/0.93 % (456076)Also succeeded, but the first one will report.
% 0.62/0.93 % (456075)Also succeeded, but the first one will report.
% 0.62/0.93 % (456077)Also succeeded, but the first one will report.
% 0.62/0.93 % (456074)Refutation found. Thanks to Tanya!
% 0.62/0.93 % SZS status Unsatisfiable for theBenchmark
% 0.62/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 2.74/1.13 % (456074)------------------------------
% 2.74/1.13 % (456074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.13 % (456074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.13 % (456074)CaDiCaL version: 2.1.3
% 2.74/1.13 % (456074)Termination reason: Refutation
% 2.74/1.13 % (456074)Time elapsed: 0.002 s
% 2.74/1.13 % (456074)Peak memory usage: 88 MB
% 2.74/1.13 % (456074)Instructions burned: 3 (million)
% 2.74/1.13 % (456074)------------------------------
% 2.74/1.13 % (456074)------------------------------
% 2.74/1.13 % (456066)Success in time 0.29 s
% 2.74/1.13 % Vampire exiting
%------------------------------------------------------------------------------