%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 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 01:49:02 PM UTC 2026
% Result : Unsatisfiable 0.66s 0.96s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 54
% Syntax : Number of formulae : 190 ( 12 unt; 24 def)
% Number of atoms : 451 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 481 ( 220 ~; 237 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 37 ( 36 usr; 33 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 48 ( 0 sgn 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ n2
| ~ n9
| ~ n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f4,negated_conjecture,
( n2
| n9
| n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f6,negated_conjecture,
( ~ n2
| n9
| n6
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( n2
| ~ n9
| ~ n6
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f9,negated_conjecture,
( ~ p(s8)
| n8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X0] :
( ~ n8
| p(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
! [X0] :
( ~ p(X0)
| n7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
( ~ n7
| p(s7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
! [X0] :
( ~ n5(X0)
| n6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
( ~ n6
| n5(s6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ q(X0)
| ~ q(s5(X0))
| n5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0] :
( q(X0)
| q(s5(X0))
| n5(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( ~ n5(X0)
| ~ q(X0)
| q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ n5(X0)
| q(X0)
| ~ q(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( ~ q(s4)
| n4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
! [X0] :
( ~ n4
| q(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
! [X0] :
( ~ q(X0)
| n3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( ~ n3
| q(s3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
! [X0] :
( ~ n1(X0)
| n2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
fof(f24,negated_conjecture,
( ~ n2
| n1(s2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
fof(f25,negated_conjecture,
! [X0] :
( ~ p(X0)
| ~ p(s1(X0))
| n1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
fof(f26,negated_conjecture,
! [X0] :
( p(X0)
| p(s1(X0))
| n1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
fof(f27,negated_conjecture,
! [X0,X1] :
( ~ n1(X0)
| ~ p(X0)
| p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
fof(f28,negated_conjecture,
! [X0,X1] :
( ~ n1(X0)
| p(X0)
| ~ p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_28) ).
fof(f29,negated_conjecture,
( ~ n3
| ~ n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29) ).
fof(f30,negated_conjecture,
( n3
| n4
| n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30) ).
fof(f31,negated_conjecture,
( ~ n3
| n4
| ~ n9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_31) ).
fof(f33,negated_conjecture,
( ~ n7
| ~ n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_33) ).
fof(f34,negated_conjecture,
( n7
| n8
| n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_34) ).
fof(f35,negated_conjecture,
( ~ n7
| n8
| ~ n10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_35) ).
fof(f38,definition,
( spl0_1
<=> n10 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f41,definition,
( spl0_2
<=> n8 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44,definition,
( spl0_3
<=> n7 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f49,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f35,f44,f41,f38]) ).
fof(f51,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f34,f44,f41,f38]) ).
fof(f52,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f33,f44,f41,f38]) ).
fof(f54,definition,
( spl0_4
<=> n9 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f57,definition,
( spl0_5
<=> n4 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f60,definition,
( spl0_6
<=> n3 ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f65,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f31,f60,f57,f54]) ).
fof(f67,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f60,f57,f54]) ).
fof(f68,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f29,f60,f57,f54]) ).
fof(f70,definition,
( spl0_7
<=> ! [X1] : ~ p(X1) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f71,plain,
( ! [X1] : ~ p(X1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f73,definition,
( spl0_8
<=> ! [X0] :
( ~ n1(X0)
| p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f74,plain,
( ! [X0] :
( ~ n1(X0)
| p(X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f75,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f28,f73,f70]) ).
fof(f77,definition,
( spl0_9
<=> ! [X1] : p(X1) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f78,plain,
( ! [X1] : p(X1)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f80,definition,
( spl0_10
<=> ! [X0] :
( ~ n1(X0)
| ~ p(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f81,plain,
( ! [X0] :
( ~ n1(X0)
| ~ p(X0) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f27,f80,f77]) ).
fof(f84,definition,
( spl0_11
<=> n1(s2) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f85,plain,
( n1(s2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f87,definition,
( spl0_12
<=> n2 ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f89,plain,
( spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f24,f87,f84]) ).
fof(f92,definition,
( spl0_13
<=> ! [X0] : ~ n1(X0) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f93,plain,
( ! [X0] : ~ n1(X0)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f94,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f23,f92,f87]) ).
fof(f96,definition,
( spl0_14
<=> q(s3) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f97,plain,
( q(s3)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f98,plain,
( spl0_14
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f22,f60,f96]) ).
fof(f100,definition,
( spl0_15
<=> ! [X0] : ~ q(X0) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f101,plain,
( ! [X0] : ~ q(X0)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f21,f100,f60]) ).
fof(f104,definition,
( spl0_16
<=> ! [X0] : q(X0) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f105,plain,
( ! [X0] : q(X0)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f106,plain,
( spl0_16
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f20,f57,f104]) ).
fof(f108,definition,
( spl0_17
<=> q(s4) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f109,plain,
( ~ q(s4)
| spl0_17 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f110,plain,
( spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f19,f108,f57]) ).
fof(f112,definition,
( spl0_18
<=> ! [X0] :
( ~ n5(X0)
| q(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f113,plain,
( ! [X0] :
( q(X0)
| ~ n5(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f114,plain,
( spl0_15
| spl0_18 ),
inference(avatar_split_clause,[],[f18,f112,f100]) ).
fof(f116,definition,
( spl0_19
<=> ! [X0] :
( ~ n5(X0)
| ~ q(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f117,plain,
( ! [X0] :
( ~ n5(X0)
| ~ q(X0) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f118,plain,
( spl0_16
| spl0_19 ),
inference(avatar_split_clause,[],[f17,f116,f104]) ).
fof(f120,definition,
( spl0_20
<=> n5(s6) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f121,plain,
( n5(s6)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f123,definition,
( spl0_21
<=> n6 ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f125,plain,
( spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f14,f123,f120]) ).
fof(f128,definition,
( spl0_22
<=> ! [X0] : ~ n5(X0) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f129,plain,
( ! [X0] : ~ n5(X0)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
( spl0_21
| spl0_22 ),
inference(avatar_split_clause,[],[f13,f128,f123]) ).
fof(f132,definition,
( spl0_23
<=> p(s7) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f133,plain,
( p(s7)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f134,plain,
( spl0_23
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f12,f44,f132]) ).
fof(f135,plain,
( spl0_3
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f70,f44]) ).
fof(f136,plain,
( spl0_9
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f10,f41,f77]) ).
fof(f138,definition,
( spl0_24
<=> p(s8) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f139,plain,
( ~ p(s8)
| spl0_24 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f140,plain,
( spl0_2
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f9,f138,f41]) ).
fof(f142,plain,
( spl0_1
| ~ spl0_21
| ~ spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f7,f87,f54,f123,f38]) ).
fof(f143,plain,
( ~ spl0_1
| spl0_21
| spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f6,f87,f54,f123,f38]) ).
fof(f145,plain,
( spl0_1
| spl0_21
| spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f4,f87,f54,f123,f38]) ).
fof(f148,plain,
( ~ spl0_1
| ~ spl0_21
| ~ spl0_4
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1,f87,f54,f123,f38]) ).
fof(f149,plain,
( $false
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f78,f71]) ).
fof(f150,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f149]) ).
fof(f151,plain,
( $false
| ~ spl0_7
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f133,f71]) ).
fof(f152,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f151]) ).
fof(f153,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f93,f85]) ).
fof(f154,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f153]) ).
fof(f155,plain,
( $false
| ~ spl0_14
| ~ spl0_15 ),
inference(resolution,[],[f101,f97]) ).
fof(f156,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f157,plain,
( $false
| ~ spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f105,f101]) ).
fof(f158,plain,
( ~ spl0_15
| ~ spl0_16 ),
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f159,plain,
( $false
| ~ spl0_20
| ~ spl0_22 ),
inference(resolution,[],[f129,f121]) ).
fof(f160,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f162,plain,
( ! [X0] : ~ n1(X0)
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f81,f74]) ).
fof(f163,plain,
( spl0_13
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f162,f80,f73,f92]) ).
fof(f164,plain,
( ! [X0] :
( q(s5(X0))
| n5(X0) )
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f16,f101]) ).
fof(f165,plain,
( ! [X0] : n5(X0)
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[],[f164,f101]) ).
fof(f166,plain,
( $false
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f165,f129]) ).
fof(f167,plain,
( ~ spl0_15
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f166]) ).
fof(f169,plain,
( ! [X0] : ~ n5(X0)
| ~ spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f117,f113]) ).
fof(f170,plain,
( spl0_22
| ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f169,f116,f112,f128]) ).
fof(f171,plain,
( $false
| ~ spl0_16
| spl0_17 ),
inference(resolution,[],[f105,f109]) ).
fof(f172,plain,
( ~ spl0_16
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f171]) ).
fof(f173,plain,
( $false
| ~ spl0_9
| spl0_24 ),
inference(resolution,[],[f78,f139]) ).
fof(f174,plain,
( ~ spl0_9
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f176,plain,
( ! [X0] :
( ~ q(s5(X0))
| n5(X0) )
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f15,f105]) ).
fof(f177,plain,
( ! [X0] : n5(X0)
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f176,f105]) ).
fof(f178,plain,
( $false
| ~ spl0_16
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f177,f129]) ).
fof(f179,plain,
( ~ spl0_16
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f178]) ).
fof(f183,plain,
( ! [X0] :
( ~ p(s1(X0))
| n1(X0) )
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f25,f78]) ).
fof(f184,plain,
( ! [X0] : n1(X0)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f183,f78]) ).
fof(f185,plain,
( $false
| ~ spl0_9
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f184,f93]) ).
fof(f186,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f185]) ).
fof(f192,plain,
( ! [X0] :
( p(s1(X0))
| n1(X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f26,f71]) ).
fof(f193,plain,
( ! [X0] : n1(X0)
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f192,f71]) ).
fof(f194,plain,
( $false
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f193,f93]) ).
fof(f195,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f194]) ).
cnf(s2,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f49]) ).
cnf(s3,plain,
( spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f52]) ).
cnf(s6,plain,
( ~ spl0_4
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f65]) ).
cnf(s7,plain,
( spl0_4
| spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f67]) ).
cnf(s8,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f68]) ).
cnf(s9,plain,
( spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f75]) ).
cnf(s10,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f82]) ).
cnf(s11,plain,
( spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f89]) ).
cnf(s12,plain,
( spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f94]) ).
cnf(s13,plain,
( ~ spl0_6
| spl0_14 ),
inference(sat_conversion,[],[f98]) ).
cnf(s14,plain,
( spl0_6
| spl0_15 ),
inference(sat_conversion,[],[f102]) ).
cnf(s15,plain,
( ~ spl0_5
| spl0_16 ),
inference(sat_conversion,[],[f106]) ).
cnf(s16,plain,
( spl0_5
| ~ spl0_17 ),
inference(sat_conversion,[],[f110]) ).
cnf(s17,plain,
( spl0_15
| spl0_18 ),
inference(sat_conversion,[],[f114]) ).
cnf(s18,plain,
( spl0_16
| spl0_19 ),
inference(sat_conversion,[],[f118]) ).
cnf(s19,plain,
( spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f125]) ).
cnf(s20,plain,
( spl0_21
| spl0_22 ),
inference(sat_conversion,[],[f130]) ).
cnf(s21,plain,
( ~ spl0_3
| spl0_23 ),
inference(sat_conversion,[],[f134]) ).
cnf(s22,plain,
( spl0_3
| spl0_7 ),
inference(sat_conversion,[],[f135]) ).
cnf(s23,plain,
( ~ spl0_2
| spl0_9 ),
inference(sat_conversion,[],[f136]) ).
cnf(s24,plain,
( spl0_2
| ~ spl0_24 ),
inference(sat_conversion,[],[f140]) ).
cnf(s26,plain,
( spl0_1
| ~ spl0_4
| spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f142]) ).
cnf(s27,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f143]) ).
cnf(s29,plain,
( spl0_1
| spl0_4
| spl0_12
| spl0_21 ),
inference(sat_conversion,[],[f145]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_12
| ~ spl0_21 ),
inference(sat_conversion,[],[f148]) ).
cnf(s33,plain,
( ~ spl0_7
| ~ spl0_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s34,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(sat_conversion,[],[f152]) ).
cnf(s35,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f154]) ).
cnf(s36,plain,
( ~ spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f156]) ).
cnf(s37,plain,
( ~ spl0_15
| ~ spl0_16 ),
inference(sat_conversion,[],[f158]) ).
cnf(s38,plain,
( ~ spl0_20
| ~ spl0_22 ),
inference(sat_conversion,[],[f160]) ).
cnf(s39,plain,
( ~ spl0_8
| ~ spl0_10
| spl0_13 ),
inference(sat_conversion,[],[f163]) ).
cnf(s40,plain,
( ~ spl0_15
| ~ spl0_22 ),
inference(sat_conversion,[],[f167]) ).
cnf(s41,plain,
( ~ spl0_18
| ~ spl0_19
| spl0_22 ),
inference(sat_conversion,[],[f170]) ).
cnf(s42,plain,
( ~ spl0_16
| spl0_17 ),
inference(sat_conversion,[],[f172]) ).
cnf(s43,plain,
( ~ spl0_9
| spl0_24 ),
inference(sat_conversion,[],[f174]) ).
cnf(s47,plain,
( ~ spl0_16
| ~ spl0_22 ),
inference(sat_conversion,[],[f179]) ).
cnf(s48,plain,
( ~ spl0_9
| ~ spl0_13 ),
inference(sat_conversion,[],[f186]) ).
cnf(s50,plain,
( ~ spl0_7
| ~ spl0_13 ),
inference(sat_conversion,[],[f195]) ).
cnf(s51,plain,
( spl0_5
| spl0_22
| spl0_4 ),
inference(rat,[],[s17,s41,s36,s18,s13,s42,s7,s16]) ).
cnf(s52,plain,
( spl0_22
| spl0_4 ),
inference(rat,[],[s14,s37,s8,s15,s51]) ).
cnf(s53,plain,
( spl0_4
| spl0_12
| spl0_1 ),
inference(rat,[],[s52,s38,s19,s29]) ).
cnf(s54,plain,
( ~ spl0_4
| spl0_12
| spl0_1 ),
inference(rat,[],[s6,s14,s15,s40,s47,s20,s26]) ).
cnf(s55,plain,
( spl0_12
| spl0_1 ),
inference(rat,[],[s54,s53]) ).
cnf(s56,plain,
( spl0_2
| spl0_1 ),
inference(rat,[],[s9,s39,s34,s10,s21,s43,s3,s24,s35,s11,s55]) ).
cnf(s57,plain,
spl0_1,
inference(rat,[],[s22,s33,s4,s23,s56]) ).
cnf(s58,plain,
~ spl0_13,
inference(rat,[],[s2,s23,s22,s48,s50,s57]) ).
cnf(s59,plain,
spl0_12,
inference(rat,[],[s12,s58]) ).
cnf(s61,plain,
spl0_4,
inference(rat,[],[s19,s38,s27,s52,s57,s59]) ).
cnf(s62,plain,
~ spl0_21,
inference(rat,[],[s32,s59,s57,s61]) ).
cnf(s63,plain,
spl0_22,
inference(rat,[],[s20,s62]) ).
cnf(s64,plain,
~ spl0_16,
inference(rat,[],[s47,s63]) ).
cnf(s65,plain,
~ spl0_15,
inference(rat,[],[s40,s63]) ).
cnf(s68,plain,
~ spl0_5,
inference(rat,[],[s15,s64]) ).
cnf(s70,plain,
spl0_6,
inference(rat,[],[s14,s65]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s6,s61,s68,s70]) ).
fof(f196,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN036-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 15:20:58 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 0.66/0.96 % (1267544)Input is clausal, will run a generic CNF schedule.
% 0.66/0.96 % (1267607)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2449771621:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.66/0.96 % (1267607)First to succeed.
% 0.66/0.96 % (1267607)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1267544"
% 0.66/0.96 % (1267603)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=1482978770:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.66/0.96 % (1267606)lrs+10_1_sil=8000:sp=occurrence:random_seed=2210432279:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.66/0.96 % (1267606)Also succeeded, but the first one will report.
% 0.66/0.96 % (1267605)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2549767667:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.66/0.96 % (1267604)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1681333319:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.66/0.96 % (1267609)dis-21_1_sil=8000:lcm=predicate:random_seed=1607167696: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)
% 0.66/0.96 % (1267608)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1043724143:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.66/0.96 % (1267608)Also succeeded, but the first one will report.
% 0.66/0.96 % (1267609)Also succeeded, but the first one will report.
% 0.66/0.96 % (1267607)Refutation found. Thanks to Tanya!
% 0.66/0.96 % SZS status Unsatisfiable for theBenchmark
% 0.66/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 2.63/1.06 % (1267607)------------------------------
% 2.63/1.06 % (1267607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.63/1.06 % (1267607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.63/1.06 % (1267607)CaDiCaL version: 2.1.3
% 2.63/1.06 % (1267607)Termination reason: Refutation
% 2.63/1.06 % (1267607)Time elapsed: 0.003 s
% 2.63/1.06 % (1267607)Peak memory usage: 89 MB
% 2.63/1.06 % (1267607)Instructions burned: 4 (million)
% 2.63/1.06 % (1267607)------------------------------
% 2.63/1.06 % (1267607)------------------------------
% 2.63/1.06 % (1267544)Success in time 0.292 s
% 2.63/1.06 % Vampire exiting
%------------------------------------------------------------------------------