%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX028+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:45:42 PM UTC 2026
% Result : Theorem 7.34s 1.85s
% Output : Refutation 9.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 17
% Syntax : Number of formulae : 116 ( 14 unt; 12 def)
% Number of atoms : 422 ( 151 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 514 ( 208 ~; 210 |; 75 &)
% ( 12 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-3 aty)
% Number of variables : 192 ( 0 sgn 121 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f48,axiom,
! [X0] :
( list_succeeds(X0)
<=> ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2) )
| X0 = nil ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',id48) ).
fof(f181,axiom,
! [X0] : '**'(nil,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(app:nil)') ).
fof(f182,axiom,
! [X0,X1,X2] :
( list_succeeds(X1)
=> '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','corollary-(app:cons)') ).
fof(f238,axiom,
( ! [X0,X1,X2] :
( ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5)
& ? [X6,X7] :
( list_succeeds(X6)
& X4 = '**'(X6,cons(X0,X7))
& X5 = '**'(X6,X7) ) )
| X1 = cons(X0,X2) )
=> ? [X6,X7] :
( list_succeeds(X6)
& X1 = '**'(X6,cons(X0,X7))
& X2 = '**'(X6,X7) ) )
=> ! [X0,X1,X2] :
( delete_succeeds(X0,X1,X2)
=> ? [X6,X7] :
( list_succeeds(X6)
& X1 = '**'(X6,cons(X0,X7))
& X2 = '**'(X6,X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',induction) ).
fof(f239,conjecture,
! [X0,X1,X2] :
( delete_succeeds(X0,X1,X2)
=> ? [X3,X4] :
( list_succeeds(X3)
& X1 = '**'(X3,cons(X0,X4))
& X2 = '**'(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','theorem-(delete:app:2)') ).
fof(f240,negated_conjecture,
~ ! [X0,X1,X2] :
( delete_succeeds(X0,X1,X2)
=> ? [X3,X4] :
( list_succeeds(X3)
& X1 = '**'(X3,cons(X0,X4))
& X2 = '**'(X3,X4) ) ),
inference(negated_conjecture,[status(cth)],[f239]) ).
fof(f261,plain,
( ! [X0,X1,X2] :
( ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5)
& ? [X6,X7] :
( list_succeeds(X6)
& X4 = '**'(X6,cons(X0,X7))
& X5 = '**'(X6,X7) ) )
| X1 = cons(X0,X2) )
=> ? [X8,X9] :
( list_succeeds(X8)
& '**'(X8,cons(X0,X9)) = X1
& '**'(X8,X9) = X2 ) )
=> ! [X10,X11,X12] :
( delete_succeeds(X10,X11,X12)
=> ? [X13,X14] :
( list_succeeds(X13)
& '**'(X13,cons(X10,X14)) = X11
& '**'(X13,X14) = X12 ) ) ),
inference(rectify,[],[f238]) ).
fof(f468,plain,
! [X0,X1,X2] :
( '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f182]) ).
fof(f552,plain,
( ! [X10,X11,X12] :
( ? [X13,X14] :
( list_succeeds(X13)
& '**'(X13,cons(X10,X14)) = X11
& '**'(X13,X14) = X12 )
| ~ delete_succeeds(X10,X11,X12) )
| ? [X0,X1,X2] :
( ! [X8,X9] :
( ~ list_succeeds(X8)
| '**'(X8,cons(X0,X9)) != X1
| '**'(X8,X9) != X2 )
& ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5)
& ? [X6,X7] :
( list_succeeds(X6)
& X4 = '**'(X6,cons(X0,X7))
& X5 = '**'(X6,X7) ) )
| X1 = cons(X0,X2) ) ) ),
inference(ennf_transformation,[],[f261]) ).
fof(f553,plain,
? [X0,X1,X2] :
( ! [X3,X4] :
( ~ list_succeeds(X3)
| '**'(X3,cons(X0,X4)) != X1
| '**'(X3,X4) != X2 )
& delete_succeeds(X0,X1,X2) ),
inference(ennf_transformation,[],[f240]) ).
fof(f554,definition,
( ? [X0,X1,X2] :
( ! [X8,X9] :
( ~ list_succeeds(X8)
| '**'(X8,cons(X0,X9)) != X1
| '**'(X8,X9) != X2 )
& ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5)
& ? [X6,X7] :
( list_succeeds(X6)
& X4 = '**'(X6,cons(X0,X7))
& X5 = '**'(X6,X7) ) )
| X1 = cons(X0,X2) ) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f555,plain,
( ! [X10,X11,X12] :
( ? [X13,X14] :
( list_succeeds(X13)
& '**'(X13,cons(X10,X14)) = X11
& '**'(X13,X14) = X12 )
| ~ delete_succeeds(X10,X11,X12) )
| sP0 ),
inference(definition_folding,[],[f552,f554]) ).
fof(f603,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f604,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(flattening,[],[f603]) ).
fof(f605,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ? [X3,X4] :
( cons(X3,X4) = X0
& list_succeeds(X4) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(rectify,[],[f604]) ).
fof(f606,plain,
! [X0] :
( ( list_succeeds(X0)
| ( ! [X1,X2] :
( cons(X1,X2) != X0
| ~ list_succeeds(X2) )
& nil != X0 ) )
& ( ( cons(sK36(X0),sK37(X0)) = X0
& list_succeeds(sK37(X0)) )
| X0 = nil
| ~ list_succeeds(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36,sK37]),skolemize(X3,sK36(X0)),skolemize(X4,sK37(X0))],[f605]) ).
fof(f697,plain,
( ? [X0,X1,X2] :
( ! [X8,X9] :
( ~ list_succeeds(X8)
| '**'(X8,cons(X0,X9)) != X1
| '**'(X8,X9) != X2 )
& ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5)
& ? [X6,X7] :
( list_succeeds(X6)
& X4 = '**'(X6,cons(X0,X7))
& X5 = '**'(X6,X7) ) )
| X1 = cons(X0,X2) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f554]) ).
fof(f698,plain,
( ? [X0,X1,X2] :
( ! [X3,X4] :
( ~ list_succeeds(X3)
| '**'(X3,cons(X0,X4)) != X1
| '**'(X3,X4) != X2 )
& ( ? [X5,X6,X7] :
( cons(X5,X6) = X1
& cons(X5,X7) = X2
& delete_succeeds(X0,X6,X7)
& ? [X8,X9] :
( list_succeeds(X8)
& '**'(X8,cons(X0,X9)) = X6
& '**'(X8,X9) = X7 ) )
| X1 = cons(X0,X2) ) )
| ~ sP0 ),
inference(rectify,[],[f697]) ).
fof(f699,plain,
( ( ! [X3,X4] :
( ~ list_succeeds(X3)
| sK92 != '**'(X3,cons(sK91,X4))
| '**'(X3,X4) != sK93 )
& ( ( sK92 = cons(sK94,sK95)
& sK93 = cons(sK94,sK96)
& delete_succeeds(sK91,sK95,sK96)
& list_succeeds(sK97)
& sK95 = '**'(sK97,cons(sK91,sK98))
& sK96 = '**'(sK97,sK98) )
| sK92 = cons(sK91,sK93) ) )
| ~ sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91,sK92,sK93,sK94,sK95,sK96,sK97,sK98]),skolemize(X0,sK91),skolemize(X1,sK92),skolemize(X2,sK93),skolemize(X5,sK94),skolemize(X6,sK95),skolemize(X7,sK96),skolemize(X8,sK97),skolemize(X9,sK98)],[f698]) ).
fof(f700,plain,
( ! [X0,X1,X2] :
( ? [X3,X4] :
( list_succeeds(X3)
& '**'(X3,cons(X0,X4)) = X1
& '**'(X3,X4) = X2 )
| ~ delete_succeeds(X0,X1,X2) )
| sP0 ),
inference(rectify,[],[f555]) ).
fof(f701,plain,
( ! [X0,X1,X2] :
( ( list_succeeds(sK99(X0,X1,X2))
& '**'(sK99(X0,X1,X2),cons(X0,sK100(X0,X1,X2))) = X1
& '**'(sK99(X0,X1,X2),sK100(X0,X1,X2)) = X2 )
| ~ delete_succeeds(X0,X1,X2) )
| sP0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK99,sK100]),skolemize(X3,sK99(X0,X1,X2)),skolemize(X4,sK100(X0,X1,X2))],[f700]) ).
fof(f702,plain,
( ! [X3,X4] :
( ~ list_succeeds(X3)
| sK102 != '**'(X3,cons(sK101,X4))
| '**'(X3,X4) != sK103 )
& delete_succeeds(sK101,sK102,sK103) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101,sK102,sK103]),skolemize(X0,sK101),skolemize(X1,sK102),skolemize(X2,sK103)],[f553]) ).
fof(f808,plain,
! [X0] :
( list_succeeds(X0)
| nil != X0 ),
inference(cnf_transformation,[],[f606]) ).
fof(f809,plain,
! [X2,X0,X1] :
( list_succeeds(X0)
| cons(X1,X2) != X0
| ~ list_succeeds(X2) ),
inference(cnf_transformation,[],[f606]) ).
fof(f1036,plain,
! [X0] : '**'(nil,X0) = X0,
inference(cnf_transformation,[],[f181]) ).
fof(f1037,plain,
! [X2,X0,X1] :
( ~ list_succeeds(X1)
| '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2)) ),
inference(cnf_transformation,[],[f468]) ).
fof(f1095,plain,
( sK96 = '**'(sK97,sK98)
| sK92 = cons(sK91,sK93)
| ~ sP0 ),
inference(cnf_transformation,[],[f699]) ).
fof(f1096,plain,
( sK95 = '**'(sK97,cons(sK91,sK98))
| sK92 = cons(sK91,sK93)
| ~ sP0 ),
inference(cnf_transformation,[],[f699]) ).
fof(f1097,plain,
( list_succeeds(sK97)
| sK92 = cons(sK91,sK93)
| ~ sP0 ),
inference(cnf_transformation,[],[f699]) ).
fof(f1099,plain,
( sK93 = cons(sK94,sK96)
| sK92 = cons(sK91,sK93)
| ~ sP0 ),
inference(cnf_transformation,[],[f699]) ).
fof(f1100,plain,
( sK92 = cons(sK94,sK95)
| sK92 = cons(sK91,sK93)
| ~ sP0 ),
inference(cnf_transformation,[],[f699]) ).
fof(f1101,plain,
! [X3,X4] :
( ~ list_succeeds(X3)
| sK92 != '**'(X3,cons(sK91,X4))
| '**'(X3,X4) != sK93
| ~ sP0 ),
inference(cnf_transformation,[],[f699]) ).
fof(f1102,plain,
! [X2,X0,X1] :
( '**'(sK99(X0,X1,X2),sK100(X0,X1,X2)) = X2
| ~ delete_succeeds(X0,X1,X2)
| sP0 ),
inference(cnf_transformation,[],[f701]) ).
fof(f1103,plain,
! [X2,X0,X1] :
( '**'(sK99(X0,X1,X2),cons(X0,sK100(X0,X1,X2))) = X1
| ~ delete_succeeds(X0,X1,X2)
| sP0 ),
inference(cnf_transformation,[],[f701]) ).
fof(f1104,plain,
! [X2,X0,X1] :
( list_succeeds(sK99(X0,X1,X2))
| ~ delete_succeeds(X0,X1,X2)
| sP0 ),
inference(cnf_transformation,[],[f701]) ).
fof(f1105,plain,
delete_succeeds(sK101,sK102,sK103),
inference(cnf_transformation,[],[f702]) ).
fof(f1106,plain,
! [X3,X4] :
( sK102 != '**'(X3,cons(sK101,X4))
| ~ list_succeeds(X3)
| '**'(X3,X4) != sK103 ),
inference(cnf_transformation,[],[f702]) ).
fof(f1140,plain,
! [X2,X1] :
( ~ list_succeeds(X2)
| list_succeeds(cons(X1,X2)) ),
inference(equality_resolution,[],[f809]) ).
fof(f1141,plain,
list_succeeds(nil),
inference(equality_resolution,[],[f808]) ).
fof(f1196,definition,
( spl104_1
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl104_1])],[avatar_definition]) ).
fof(f1199,definition,
( spl104_2
<=> ! [X2,X0,X1] :
( '**'(sK99(X0,X1,X2),sK100(X0,X1,X2)) = X2
| ~ delete_succeeds(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl104_2])],[avatar_definition]) ).
fof(f1200,plain,
( ! [X2,X0,X1] :
( ~ delete_succeeds(X0,X1,X2)
| '**'(sK99(X0,X1,X2),sK100(X0,X1,X2)) = X2 )
| ~ spl104_2 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1201,plain,
( spl104_1
| spl104_2 ),
inference(avatar_split_clause,[],[f1102,f1199,f1196]) ).
fof(f1203,definition,
( spl104_3
<=> ! [X2,X0,X1] :
( '**'(sK99(X0,X1,X2),cons(X0,sK100(X0,X1,X2))) = X1
| ~ delete_succeeds(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl104_3])],[avatar_definition]) ).
fof(f1204,plain,
( ! [X2,X0,X1] :
( ~ delete_succeeds(X0,X1,X2)
| '**'(sK99(X0,X1,X2),cons(X0,sK100(X0,X1,X2))) = X1 )
| ~ spl104_3 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1205,plain,
( spl104_1
| spl104_3 ),
inference(avatar_split_clause,[],[f1103,f1203,f1196]) ).
fof(f1207,definition,
( spl104_4
<=> ! [X2,X0,X1] :
( list_succeeds(sK99(X0,X1,X2))
| ~ delete_succeeds(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl104_4])],[avatar_definition]) ).
fof(f1208,plain,
( ! [X2,X0,X1] :
( list_succeeds(sK99(X0,X1,X2))
| ~ delete_succeeds(X0,X1,X2) )
| ~ spl104_4 ),
inference(avatar_component_clause,[],[f1207]) ).
fof(f1209,plain,
( spl104_1
| spl104_4 ),
inference(avatar_split_clause,[],[f1104,f1207,f1196]) ).
fof(f1212,definition,
( spl104_5
<=> sK92 = cons(sK91,sK93) ),
introduced(definition,[new_symbols(definition,[spl104_5])],[avatar_definition]) ).
fof(f1213,plain,
( sK92 = cons(sK91,sK93)
| ~ spl104_5 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1215,definition,
( spl104_6
<=> sK96 = '**'(sK97,sK98) ),
introduced(definition,[new_symbols(definition,[spl104_6])],[avatar_definition]) ).
fof(f1216,plain,
( sK96 = '**'(sK97,sK98)
| ~ spl104_6 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1217,plain,
( ~ spl104_1
| spl104_5
| spl104_6 ),
inference(avatar_split_clause,[],[f1095,f1215,f1212,f1196]) ).
fof(f1219,definition,
( spl104_7
<=> sK95 = '**'(sK97,cons(sK91,sK98)) ),
introduced(definition,[new_symbols(definition,[spl104_7])],[avatar_definition]) ).
fof(f1220,plain,
( sK95 = '**'(sK97,cons(sK91,sK98))
| ~ spl104_7 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1221,plain,
( ~ spl104_1
| spl104_5
| spl104_7 ),
inference(avatar_split_clause,[],[f1096,f1219,f1212,f1196]) ).
fof(f1223,definition,
( spl104_8
<=> list_succeeds(sK97) ),
introduced(definition,[new_symbols(definition,[spl104_8])],[avatar_definition]) ).
fof(f1224,plain,
( list_succeeds(sK97)
| ~ spl104_8 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1225,plain,
( ~ spl104_1
| spl104_5
| spl104_8 ),
inference(avatar_split_clause,[],[f1097,f1223,f1212,f1196]) ).
fof(f1231,definition,
( spl104_10
<=> sK93 = cons(sK94,sK96) ),
introduced(definition,[new_symbols(definition,[spl104_10])],[avatar_definition]) ).
fof(f1232,plain,
( sK93 = cons(sK94,sK96)
| ~ spl104_10 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1233,plain,
( ~ spl104_1
| spl104_5
| spl104_10 ),
inference(avatar_split_clause,[],[f1099,f1231,f1212,f1196]) ).
fof(f1235,definition,
( spl104_11
<=> sK92 = cons(sK94,sK95) ),
introduced(definition,[new_symbols(definition,[spl104_11])],[avatar_definition]) ).
fof(f1236,plain,
( sK92 = cons(sK94,sK95)
| ~ spl104_11 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1237,plain,
( ~ spl104_1
| spl104_5
| spl104_11 ),
inference(avatar_split_clause,[],[f1100,f1235,f1212,f1196]) ).
fof(f1239,definition,
( spl104_12
<=> ! [X4,X3] :
( ~ list_succeeds(X3)
| '**'(X3,X4) != sK93
| sK92 != '**'(X3,cons(sK91,X4)) ) ),
introduced(definition,[new_symbols(definition,[spl104_12])],[avatar_definition]) ).
fof(f1240,plain,
( ! [X3,X4] :
( sK92 != '**'(X3,cons(sK91,X4))
| '**'(X3,X4) != sK93
| ~ list_succeeds(X3) )
| ~ spl104_12 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1241,plain,
( ~ spl104_1
| spl104_12 ),
inference(avatar_split_clause,[],[f1101,f1239,f1196]) ).
fof(f1244,plain,
( sK103 = '**'(sK99(sK101,sK102,sK103),sK100(sK101,sK102,sK103))
| ~ spl104_2 ),
inference(resolution,[],[f1200,f1105]) ).
fof(f1246,plain,
( sK102 = '**'(sK99(sK101,sK102,sK103),cons(sK101,sK100(sK101,sK102,sK103)))
| ~ spl104_3 ),
inference(resolution,[],[f1204,f1105]) ).
fof(f1247,plain,
( sK102 != sK102
| ~ list_succeeds(sK99(sK101,sK102,sK103))
| sK103 != '**'(sK99(sK101,sK102,sK103),sK100(sK101,sK102,sK103))
| ~ spl104_3 ),
inference(superposition,[],[f1106,f1246]) ).
fof(f1248,plain,
( ~ list_succeeds(sK99(sK101,sK102,sK103))
| sK103 != '**'(sK99(sK101,sK102,sK103),sK100(sK101,sK102,sK103))
| ~ spl104_3 ),
inference(trivial_inequality_removal,[],[f1247]) ).
fof(f1249,plain,
( ~ list_succeeds(sK99(sK101,sK102,sK103))
| ~ spl104_2
| ~ spl104_3 ),
inference(forward_subsumption_resolution,[],[f1248,f1244]) ).
fof(f1251,plain,
( ~ delete_succeeds(sK101,sK102,sK103)
| ~ spl104_2
| ~ spl104_3
| ~ spl104_4 ),
inference(resolution,[],[f1249,f1208]) ).
fof(f1253,plain,
( $false
| ~ spl104_2
| ~ spl104_3
| ~ spl104_4 ),
inference(forward_subsumption_resolution,[],[f1251,f1105]) ).
fof(f1254,plain,
( ~ spl104_2
| ~ spl104_3
| ~ spl104_4 ),
inference(avatar_contradiction_clause,[],[f1253]) ).
fof(f1255,plain,
( ! [X0] :
( sK93 != '**'(X0,sK93)
| sK92 != '**'(X0,sK92)
| ~ list_succeeds(X0) )
| ~ spl104_5
| ~ spl104_12 ),
inference(superposition,[],[f1240,f1213]) ).
fof(f1304,plain,
( sK93 != sK93
| sK92 != '**'(nil,sK92)
| ~ list_succeeds(nil)
| ~ spl104_5
| ~ spl104_12 ),
inference(superposition,[],[f1255,f1036]) ).
fof(f1305,plain,
( sK92 != '**'(nil,sK92)
| ~ list_succeeds(nil)
| ~ spl104_5
| ~ spl104_12 ),
inference(trivial_inequality_removal,[],[f1304]) ).
fof(f1308,plain,
( ~ list_succeeds(nil)
| ~ spl104_5
| ~ spl104_12 ),
inference(forward_subsumption_resolution,[],[f1305,f1036]) ).
fof(f1311,plain,
( $false
| ~ spl104_5
| ~ spl104_12 ),
inference(forward_subsumption_resolution,[],[f1308,f1141]) ).
fof(f1312,plain,
( ~ spl104_5
| ~ spl104_12 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1318,plain,
( ! [X0,X1] : '**'(cons(X0,sK97),X1) = cons(X0,'**'(sK97,X1))
| ~ spl104_8 ),
inference(resolution,[],[f1224,f1037]) ).
fof(f1320,plain,
( ! [X0,X1] :
( sK92 != cons(X0,'**'(sK97,cons(sK91,X1)))
| sK93 != '**'(cons(X0,sK97),X1)
| ~ list_succeeds(cons(X0,sK97)) )
| ~ spl104_8
| ~ spl104_12 ),
inference(superposition,[],[f1240,f1318]) ).
fof(f1321,plain,
( ! [X0,X1] :
( ~ list_succeeds(cons(X0,sK97))
| sK92 != cons(X0,'**'(sK97,cons(sK91,X1)))
| sK93 != cons(X0,'**'(sK97,X1)) )
| ~ spl104_8
| ~ spl104_12 ),
inference(forward_demodulation,[],[f1320,f1318]) ).
fof(f1745,plain,
( ! [X0] : list_succeeds(cons(X0,sK97))
| ~ spl104_8 ),
inference(resolution,[],[f1140,f1224]) ).
fof(f1748,plain,
( ! [X0,X1] :
( sK92 != cons(X0,'**'(sK97,cons(sK91,X1)))
| sK93 != cons(X0,'**'(sK97,X1)) )
| ~ spl104_8
| ~ spl104_12 ),
inference(resolution,[],[f1745,f1321]) ).
fof(f1771,plain,
( ! [X0] :
( sK92 != cons(X0,sK95)
| sK93 != cons(X0,'**'(sK97,sK98)) )
| ~ spl104_7
| ~ spl104_8
| ~ spl104_12 ),
inference(superposition,[],[f1748,f1220]) ).
fof(f1772,plain,
( ! [X0] :
( sK93 != cons(X0,sK96)
| sK92 != cons(X0,sK95) )
| ~ spl104_6
| ~ spl104_7
| ~ spl104_8
| ~ spl104_12 ),
inference(forward_demodulation,[],[f1771,f1216]) ).
fof(f1927,plain,
( sK93 != sK93
| sK92 != cons(sK94,sK95)
| ~ spl104_6
| ~ spl104_7
| ~ spl104_8
| ~ spl104_10
| ~ spl104_12 ),
inference(superposition,[],[f1772,f1232]) ).
fof(f1928,plain,
( sK92 != cons(sK94,sK95)
| ~ spl104_6
| ~ spl104_7
| ~ spl104_8
| ~ spl104_10
| ~ spl104_12 ),
inference(trivial_inequality_removal,[],[f1927]) ).
fof(f1930,plain,
( $false
| ~ spl104_6
| ~ spl104_7
| ~ spl104_8
| ~ spl104_10
| ~ spl104_11
| ~ spl104_12 ),
inference(forward_subsumption_resolution,[],[f1928,f1236]) ).
fof(f1931,plain,
( ~ spl104_6
| ~ spl104_7
| ~ spl104_8
| ~ spl104_10
| ~ spl104_11
| ~ spl104_12 ),
inference(avatar_contradiction_clause,[],[f1930]) ).
cnf(s1,plain,
( spl104_1
| spl104_2 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s2,plain,
( spl104_1
| spl104_3 ),
inference(sat_conversion,[],[f1205]) ).
cnf(s3,plain,
( spl104_1
| spl104_4 ),
inference(sat_conversion,[],[f1209]) ).
cnf(s4,plain,
( ~ spl104_1
| spl104_5
| spl104_6 ),
inference(sat_conversion,[],[f1217]) ).
cnf(s5,plain,
( ~ spl104_1
| spl104_5
| spl104_7 ),
inference(sat_conversion,[],[f1221]) ).
cnf(s6,plain,
( ~ spl104_1
| spl104_5
| spl104_8 ),
inference(sat_conversion,[],[f1225]) ).
cnf(s8,plain,
( ~ spl104_1
| spl104_5
| spl104_10 ),
inference(sat_conversion,[],[f1233]) ).
cnf(s9,plain,
( ~ spl104_1
| spl104_5
| spl104_11 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s10,plain,
( ~ spl104_1
| spl104_12 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s12,plain,
( ~ spl104_2
| ~ spl104_3
| ~ spl104_4 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s18,plain,
( ~ spl104_5
| ~ spl104_12 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s69,plain,
( ~ spl104_6
| ~ spl104_7
| ~ spl104_8
| ~ spl104_10
| ~ spl104_11
| ~ spl104_12 ),
inference(sat_conversion,[],[f1931]) ).
cnf(s72,plain,
spl104_1,
inference(rat,[],[s12,s1,s2,s3]) ).
cnf(s73,plain,
spl104_12,
inference(rat,[],[s10,s72]) ).
cnf(s74,plain,
~ spl104_5,
inference(rat,[],[s18,s73]) ).
cnf(s75,plain,
spl104_6,
inference(rat,[],[s4,s72,s74]) ).
cnf(s76,plain,
spl104_7,
inference(rat,[],[s5,s72,s74]) ).
cnf(s77,plain,
spl104_11,
inference(rat,[],[s9,s72,s74]) ).
cnf(s78,plain,
spl104_10,
inference(rat,[],[s8,s72,s74]) ).
cnf(s80,plain,
spl104_8,
inference(rat,[],[s6,s72,s74]) ).
cnf(s81,plain,
$false,
inference(rat,[],[s69,s73,s77,s78,s80,s76,s75]) ).
fof(f1932,plain,
$false,
inference(avatar_sat_refutation,[],[s81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX028+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n008.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Mon Sep 28 14:52:40 UTC 2026
% 0.10/0.17 % CPUTime :
% 0.10/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running first-order theorem proving
% 0.10/0.20 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
% 7.34/1.85 % (2309656)Detected formulas, will run a generic FOF schedule.
% 7.34/1.85 % (2309667)dis-21_1_sil=8000:lcm=predicate:random_seed=4169233298:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.34/1.85 % (2309666)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3551472117:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.34/1.85 % (2309665)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3704321994:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.34/1.85 % (2309662)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=156179390:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.34/1.85 % (2309664)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2722959791:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.34/1.85 % (2309661)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=1135039660:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.34/1.85 % (2309663)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1544512919:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.34/1.85 % (2309667)Instruction limit reached!
% 7.34/1.85 % (2309667)------------------------------
% 7.34/1.85 % (2309667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309667)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309667)Termination reason: Instruction limit
% 7.34/1.85 % (2309667)Termination phase: Saturation
% 7.34/1.85 % (2309667)Time elapsed: 0.044 s
% 7.34/1.85 % (2309667)Peak memory usage: 90 MB
% 7.34/1.85 % (2309667)Instructions burned: 131 (million)
% 7.34/1.85 % (2309664)Instruction limit reached!
% 7.34/1.85 % (2309664)------------------------------
% 7.34/1.85 % (2309664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309664)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309664)Termination reason: Instruction limit
% 7.34/1.85 % (2309664)Termination phase: Saturation
% 7.34/1.85 % (2309664)Time elapsed: 0.071 s
% 7.34/1.85 % (2309664)Peak memory usage: 90 MB
% 7.34/1.85 % (2309664)Instructions burned: 110 (million)
% 7.34/1.85 % (2309665)Instruction limit reached!
% 7.34/1.85 % (2309665)------------------------------
% 7.34/1.85 % (2309665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309665)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309665)Termination reason: Instruction limit
% 7.34/1.85 % (2309665)Termination phase: Saturation
% 7.34/1.85 % (2309665)Time elapsed: 0.075 s
% 7.34/1.85 % (2309665)Peak memory usage: 89 MB
% 7.34/1.85 % (2309665)Instructions burned: 119 (million)
% 7.34/1.85 % (2309666)Instruction limit reached!
% 7.34/1.85 % (2309666)------------------------------
% 7.34/1.85 % (2309666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309666)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309666)Termination reason: Instruction limit
% 7.34/1.85 % (2309666)Termination phase: Saturation
% 7.34/1.85 % (2309666)Time elapsed: 0.100 s
% 7.34/1.85 % (2309666)Peak memory usage: 91 MB
% 7.34/1.85 % (2309666)Instructions burned: 139 (million)
% 7.34/1.85 % (2309675)lrs+10_1_sil=8000:sp=occurrence:random_seed=1052483669:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.34/1.85 % (2309675)Instruction limit reached!
% 7.34/1.85 % (2309675)------------------------------
% 7.34/1.85 % (2309675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309675)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309675)Termination reason: Instruction limit
% 7.34/1.85 % (2309675)Termination phase: Saturation
% 7.34/1.85 % (2309675)Time elapsed: 0.103 s
% 7.34/1.85 % (2309675)Peak memory usage: 92 MB
% 7.34/1.85 % (2309675)Instructions burned: 286 (million)
% 7.34/1.85 % (2309676)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1696844026:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.34/1.85 % (2309677)lrs+1011_1_sil=32000:sp=occurrence:random_seed=227043327:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.34/1.85 % (2309679)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=120091471:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.34/1.85 % (2309682)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2272240629:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.34/1.85 % (2309676)Instruction limit reached!
% 7.34/1.85 % (2309676)------------------------------
% 7.34/1.85 % (2309676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309676)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309676)Termination reason: Instruction limit
% 7.34/1.85 % (2309676)Termination phase: Saturation
% 7.34/1.85 % (2309676)Time elapsed: 0.097 s
% 7.34/1.85 % (2309676)Peak memory usage: 91 MB
% 7.34/1.85 % (2309676)Instructions burned: 157 (million)
% 7.34/1.85 % (2309679)Instruction limit reached!
% 7.34/1.85 % (2309679)------------------------------
% 7.34/1.85 % (2309679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309679)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309679)Termination reason: Instruction limit
% 7.34/1.85 % (2309679)Termination phase: Saturation
% 7.34/1.85 % (2309679)Time elapsed: 0.151 s
% 7.34/1.85 % (2309679)Peak memory usage: 92 MB
% 7.34/1.85 % (2309679)Instructions burned: 249 (million)
% 7.34/1.85 % (2309677)Instruction limit reached!
% 7.34/1.85 % (2309677)------------------------------
% 7.34/1.85 % (2309677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309677)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309677)Termination reason: Instruction limit
% 7.34/1.85 % (2309677)Termination phase: Saturation
% 7.34/1.85 % (2309677)Time elapsed: 0.174 s
% 7.34/1.85 % (2309677)Peak memory usage: 91 MB
% 7.34/1.85 % (2309677)Instructions burned: 327 (million)
% 7.34/1.85 % (2309682)Instruction limit reached!
% 7.34/1.85 % (2309682)------------------------------
% 7.34/1.85 % (2309682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309682)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309682)Termination reason: Instruction limit
% 7.34/1.85 % (2309682)Termination phase: Saturation
% 7.34/1.85 % (2309682)Time elapsed: 0.091 s
% 7.34/1.85 % (2309682)Peak memory usage: 90 MB
% 7.34/1.85 % (2309682)Instructions burned: 296 (million)
% 7.34/1.85 % (2309685)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=238090385:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.34/1.85 % (2309688)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2975628853:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 7.34/1.85 % (2309686)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=608486955:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.34/1.85 % (2309688)Instruction limit reached!
% 7.34/1.85 % (2309688)------------------------------
% 7.34/1.85 % (2309688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309688)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309688)Termination reason: Instruction limit
% 7.34/1.85 % (2309688)Termination phase: Saturation
% 7.34/1.85 % (2309688)Time elapsed: 0.033 s
% 7.34/1.85 % (2309688)Peak memory usage: 89 MB
% 7.34/1.85 % (2309688)Instructions burned: 117 (million)
% 7.34/1.85 % (2309687)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3075516106:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.34/1.85 % (2309686)Instruction limit reached!
% 7.34/1.85 % (2309686)------------------------------
% 7.34/1.85 % (2309686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309686)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309686)Termination reason: Instruction limit
% 7.34/1.85 % (2309686)Termination phase: Saturation
% 7.34/1.85 % (2309686)Time elapsed: 0.072 s
% 7.34/1.85 % (2309686)Peak memory usage: 90 MB
% 7.34/1.85 % (2309686)Instructions burned: 114 (million)
% 7.34/1.85 % (2309687)Instruction limit reached!
% 7.34/1.85 % (2309687)------------------------------
% 7.34/1.85 % (2309687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309687)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309687)Termination reason: Instruction limit
% 7.34/1.85 % (2309687)Termination phase: Saturation
% 7.34/1.85 % (2309687)Time elapsed: 0.063 s
% 7.34/1.85 % (2309687)Peak memory usage: 89 MB
% 7.34/1.85 % (2309687)Instructions burned: 127 (million)
% 7.34/1.85 % (2309692)lrs+10_1_sil=8000:sp=occurrence:random_seed=3627562687:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 7.34/1.85 % (2309694)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=783528669:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.34/1.85 % (2309695)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1705546695:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.34/1.85 % (2309662)First to succeed.
% 7.34/1.85 % (2309662)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2309656"
% 7.34/1.85 % (2309661)Also succeeded, but the first one will report.
% 7.34/1.85 % (2309692)Instruction limit reached!
% 7.34/1.85 % (2309692)------------------------------
% 7.34/1.85 % (2309692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309692)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309692)Termination reason: Instruction limit
% 7.34/1.85 % (2309692)Termination phase: Saturation
% 7.34/1.85 % (2309692)Time elapsed: 0.302 s
% 7.34/1.85 % (2309692)Peak memory usage: 98 MB
% 7.34/1.85 % (2309692)Instructions burned: 909 (million)
% 7.34/1.85 % (2309694)Instruction limit reached!
% 7.34/1.85 % (2309694)------------------------------
% 7.34/1.85 % (2309694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309694)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309694)Termination reason: Instruction limit
% 7.34/1.85 % (2309694)Termination phase: Saturation
% 7.34/1.85 % (2309694)Time elapsed: 0.258 s
% 7.34/1.85 % (2309694)Peak memory usage: 92 MB
% 7.34/1.85 % (2309694)Instructions burned: 437 (million)
% 7.34/1.85 % (2309699)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2198465166:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.34/1.85 % (2309699)Instruction limit reached!
% 7.34/1.85 % (2309699)------------------------------
% 7.34/1.85 % (2309699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.34/1.85 % (2309699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.34/1.85 % (2309699)CaDiCaL version: 2.1.3
% 7.34/1.85 % (2309699)Termination reason: Instruction limit
% 7.34/1.85 % (2309699)Termination phase: Saturation
% 7.34/1.85 % (2309699)Time elapsed: 0.043 s
% 7.34/1.85 % (2309699)Peak memory usage: 91 MB
% 7.34/1.85 % (2309699)Instructions burned: 135 (million)
% 7.34/1.85 % (2309662)Refutation found. Thanks to Tanya!
% 7.34/1.85 % SZS status Theorem for theBenchmark
% 7.34/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 9.15/2.05 % (2309662)------------------------------
% 9.15/2.05 % (2309662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.15/2.05 % (2309662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.15/2.05 % (2309662)CaDiCaL version: 2.1.3
% 9.15/2.05 % (2309662)Termination reason: Refutation
% 9.15/2.05 % (2309662)Time elapsed: 0.794 s
% 9.15/2.05 % (2309662)Peak memory usage: 134 MB
% 9.15/2.05 % (2309662)Instructions burned: 1204 (million)
% 9.15/2.05 % (2309662)------------------------------
% 9.15/2.05 % (2309662)------------------------------
% 9.15/2.05 % (2309656)Success in time 1.212 s
% 9.15/2.05 % Vampire exiting
%------------------------------------------------------------------------------