%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX049+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:45:45 PM UTC 2026
% Result : Theorem 27.90s 4.47s
% Output : Refutation 28.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 144 ( 23 unt; 12 def)
% Number of atoms : 469 ( 114 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 561 ( 236 ~; 267 |; 26 &)
% ( 12 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 154 ( 0 sgn 134 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,axiom,
! [X0] : '@+'('0',X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(plus:zero)') ).
fof(f108,axiom,
! [X0,X1] :
( nat_succeeds(X0)
=> '@+'(s(X0),X1) = s('@+'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(plus:successor)') ).
fof(f203,axiom,
! [X0] : '**'(nil,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(app:nil)') ).
fof(f204,axiom,
! [X0,X1,X2] :
( list_succeeds(X1)
=> '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(app:cons)') ).
fof(f205,axiom,
! [X0,X1] :
( ( list_succeeds(X0)
& list_succeeds(X1) )
=> list_succeeds('**'(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom-(app:types:1)') ).
fof(f286,axiom,
! [X0] : occ(X0,nil) = '0',
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:nil)') ).
fof(f287,axiom,
! [X0,X1,X2] :
( ( list_succeeds(X2)
& X0 != X1 )
=> occ(X0,cons(X1,X2)) = occ(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:cons:diff)') ).
fof(f288,axiom,
! [X0,X1] :
( list_succeeds(X1)
=> occ(X0,cons(X0,X1)) = s(occ(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:cons:eq)') ).
fof(f289,axiom,
! [X0,X1] :
( list_succeeds(X1)
=> nat_succeeds(occ(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','corollary-(occ:types)') ).
fof(f290,axiom,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] :
( list_succeeds(X4)
=> occ(X3,'**'(X2,X4)) = '@+'(occ(X3,X2),occ(X3,X4)) ) )
| X0 = nil )
=> ! [X3,X4] :
( list_succeeds(X4)
=> occ(X3,'**'(X0,X4)) = '@+'(occ(X3,X0),occ(X3,X4)) ) )
=> ! [X0] :
( list_succeeds(X0)
=> ! [X3,X4] :
( list_succeeds(X4)
=> occ(X3,'**'(X0,X4)) = '@+'(occ(X3,X0),occ(X3,X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f291,conjecture,
! [X0,X1,X2] :
( ( list_succeeds(X1)
& list_succeeds(X2) )
=> occ(X0,'**'(X1,X2)) = '@+'(occ(X0,X1),occ(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','lemma-(occ:app)') ).
fof(f292,negated_conjecture,
~ ! [X0,X1,X2] :
( ( list_succeeds(X1)
& list_succeeds(X2) )
=> occ(X0,'**'(X1,X2)) = '@+'(occ(X0,X1),occ(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f291]) ).
fof(f293,plain,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] :
( list_succeeds(X4)
=> occ(X3,'**'(X2,X4)) = '@+'(occ(X3,X2),occ(X3,X4)) ) )
| X0 = nil )
=> ! [X5,X6] :
( list_succeeds(X6)
=> occ(X5,'**'(X0,X6)) = '@+'(occ(X5,X0),occ(X5,X6)) ) )
=> ! [X7] :
( list_succeeds(X7)
=> ! [X8,X9] :
( list_succeeds(X9)
=> occ(X8,'**'(X7,X9)) = '@+'(occ(X8,X7),occ(X8,X9)) ) ) ),
inference(rectify,[],[f290]) ).
fof(f300,plain,
? [X0,X1,X2] :
( occ(X0,'**'(X1,X2)) != '@+'(occ(X0,X1),occ(X0,X2))
& list_succeeds(X1)
& list_succeeds(X2) ),
inference(ennf_transformation,[],[f292]) ).
fof(f301,plain,
? [X0,X1,X2] :
( occ(X0,'**'(X1,X2)) != '@+'(occ(X0,X1),occ(X0,X2))
& list_succeeds(X1)
& list_succeeds(X2) ),
inference(flattening,[],[f300]) ).
fof(f314,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f333,plain,
! [X0,X1] :
( list_succeeds('**'(X0,X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f205]) ).
fof(f334,plain,
! [X0,X1] :
( list_succeeds('**'(X0,X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(flattening,[],[f333]) ).
fof(f335,plain,
! [X0,X1,X2] :
( '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f204]) ).
fof(f336,plain,
( ! [X7] :
( ! [X8,X9] :
( occ(X8,'**'(X7,X9)) = '@+'(occ(X8,X7),occ(X8,X9))
| ~ list_succeeds(X9) )
| ~ list_succeeds(X7) )
| ? [X0] :
( ? [X5,X6] :
( occ(X5,'**'(X0,X6)) != '@+'(occ(X5,X0),occ(X5,X6))
& list_succeeds(X6) )
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] :
( occ(X3,'**'(X2,X4)) = '@+'(occ(X3,X2),occ(X3,X4))
| ~ list_succeeds(X4) ) )
| X0 = nil ) ) ),
inference(ennf_transformation,[],[f293]) ).
fof(f337,plain,
! [X0,X1] :
( nat_succeeds(occ(X0,X1))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f289]) ).
fof(f338,plain,
! [X0,X1] :
( occ(X0,cons(X0,X1)) = s(occ(X0,X1))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f288]) ).
fof(f339,plain,
! [X0,X1,X2] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f287]) ).
fof(f340,plain,
! [X0,X1,X2] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(flattening,[],[f339]) ).
fof(f446,plain,
( occ(sK6,'**'(sK7,sK8)) != '@+'(occ(sK6,sK7),occ(sK6,sK8))
& list_succeeds(sK7)
& list_succeeds(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f301]) ).
fof(f448,plain,
( ! [X0] :
( ! [X1,X2] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X2) )
| ~ list_succeeds(X0) )
| ? [X3] :
( ? [X4,X5] :
( occ(X4,'**'(X3,X5)) != '@+'(occ(X4,X3),occ(X4,X5))
& list_succeeds(X5) )
& ( ? [X6,X7] :
( cons(X6,X7) = X3
& list_succeeds(X7)
& ! [X8,X9] :
( occ(X8,'**'(X7,X9)) = '@+'(occ(X8,X7),occ(X8,X9))
| ~ list_succeeds(X9) ) )
| nil = X3 ) ) ),
inference(rectify,[],[f336]) ).
fof(f449,plain,
( ! [X0] :
( ! [X1,X2] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X2) )
| ~ list_succeeds(X0) )
| ( occ(sK10,'**'(sK9,sK11)) != '@+'(occ(sK10,sK9),occ(sK10,sK11))
& list_succeeds(sK11)
& ( ( sK9 = cons(sK12,sK13)
& list_succeeds(sK13)
& ! [X8,X9] :
( occ(X8,'**'(sK13,X9)) = '@+'(occ(X8,sK13),occ(X8,X9))
| ~ list_succeeds(X9) ) )
| nil = sK9 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13]),skolemize(X3,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12),skolemize(X7,sK13)],[f448]) ).
fof(f529,plain,
list_succeeds(sK8),
inference(cnf_transformation,[],[f446]) ).
fof(f530,plain,
list_succeeds(sK7),
inference(cnf_transformation,[],[f446]) ).
fof(f531,plain,
occ(sK6,'**'(sK7,sK8)) != '@+'(occ(sK6,sK7),occ(sK6,sK8)),
inference(cnf_transformation,[],[f446]) ).
fof(f538,plain,
! [X0,X1] :
( '@+'(s(X0),X1) = s('@+'(X0,X1))
| ~ nat_succeeds(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f551,plain,
! [X0,X1] :
( list_succeeds('**'(X0,X1))
| ~ list_succeeds(X0)
| ~ list_succeeds(X1) ),
inference(cnf_transformation,[],[f334]) ).
fof(f552,plain,
! [X2,X0,X1] :
( '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(cnf_transformation,[],[f335]) ).
fof(f553,plain,
! [X0] : '**'(nil,X0) = X0,
inference(cnf_transformation,[],[f203]) ).
fof(f554,plain,
! [X2,X0,X1,X8,X9] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X2)
| ~ list_succeeds(X0)
| occ(X8,'**'(sK13,X9)) = '@+'(occ(X8,sK13),occ(X8,X9))
| ~ list_succeeds(X9)
| nil = sK9 ),
inference(cnf_transformation,[],[f449]) ).
fof(f555,plain,
! [X2,X0,X1] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X2)
| ~ list_succeeds(X0)
| list_succeeds(sK13)
| nil = sK9 ),
inference(cnf_transformation,[],[f449]) ).
fof(f556,plain,
! [X2,X0,X1] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X2)
| ~ list_succeeds(X0)
| sK9 = cons(sK12,sK13)
| nil = sK9 ),
inference(cnf_transformation,[],[f449]) ).
fof(f557,plain,
! [X2,X0,X1] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X2)
| ~ list_succeeds(X0)
| list_succeeds(sK11) ),
inference(cnf_transformation,[],[f449]) ).
fof(f558,plain,
! [X2,X0,X1] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X2)
| ~ list_succeeds(X0)
| occ(sK10,'**'(sK9,sK11)) != '@+'(occ(sK10,sK9),occ(sK10,sK11)) ),
inference(cnf_transformation,[],[f449]) ).
fof(f559,plain,
! [X0,X1] :
( nat_succeeds(occ(X0,X1))
| ~ list_succeeds(X1) ),
inference(cnf_transformation,[],[f337]) ).
fof(f560,plain,
! [X0,X1] :
( occ(X0,cons(X0,X1)) = s(occ(X0,X1))
| ~ list_succeeds(X1) ),
inference(cnf_transformation,[],[f338]) ).
fof(f561,plain,
! [X2,X0,X1] :
( occ(X0,cons(X1,X2)) = occ(X0,X2)
| ~ list_succeeds(X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f340]) ).
fof(f562,plain,
! [X0] : '0' = occ(X0,nil),
inference(cnf_transformation,[],[f286]) ).
fof(f622,plain,
! [X0] : '@+'('0',X0) = X0,
inference(cnf_transformation,[],[f107]) ).
fof(f791,definition,
( spl56_1
<=> nil = sK9 ),
introduced(definition,[new_symbols(definition,[spl56_1])],[avatar_definition]) ).
fof(f793,plain,
( nil = sK9
| ~ spl56_1 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f795,definition,
( spl56_2
<=> ! [X9,X8] :
( occ(X8,'**'(sK13,X9)) = '@+'(occ(X8,sK13),occ(X8,X9))
| ~ list_succeeds(X9) ) ),
introduced(definition,[new_symbols(definition,[spl56_2])],[avatar_definition]) ).
fof(f796,plain,
( ! [X8,X9] :
( occ(X8,'**'(sK13,X9)) = '@+'(occ(X8,sK13),occ(X8,X9))
| ~ list_succeeds(X9) )
| ~ spl56_2 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f798,definition,
( spl56_3
<=> ! [X2,X0,X1] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X0)
| ~ list_succeeds(X2) ) ),
introduced(definition,[new_symbols(definition,[spl56_3])],[avatar_definition]) ).
fof(f799,plain,
( ! [X2,X0,X1] :
( occ(X1,'**'(X0,X2)) = '@+'(occ(X1,X0),occ(X1,X2))
| ~ list_succeeds(X0)
| ~ list_succeeds(X2) )
| ~ spl56_3 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f800,plain,
( spl56_1
| spl56_2
| spl56_3 ),
inference(avatar_split_clause,[],[f554,f798,f795,f791]) ).
fof(f802,definition,
( spl56_4
<=> list_succeeds(sK13) ),
introduced(definition,[new_symbols(definition,[spl56_4])],[avatar_definition]) ).
fof(f804,plain,
( list_succeeds(sK13)
| ~ spl56_4 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f805,plain,
( spl56_1
| spl56_4
| spl56_3 ),
inference(avatar_split_clause,[],[f555,f798,f802,f791]) ).
fof(f807,definition,
( spl56_5
<=> sK9 = cons(sK12,sK13) ),
introduced(definition,[new_symbols(definition,[spl56_5])],[avatar_definition]) ).
fof(f809,plain,
( sK9 = cons(sK12,sK13)
| ~ spl56_5 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f810,plain,
( spl56_1
| spl56_5
| spl56_3 ),
inference(avatar_split_clause,[],[f556,f798,f807,f791]) ).
fof(f812,definition,
( spl56_6
<=> list_succeeds(sK11) ),
introduced(definition,[new_symbols(definition,[spl56_6])],[avatar_definition]) ).
fof(f814,plain,
( list_succeeds(sK11)
| ~ spl56_6 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( spl56_6
| spl56_3 ),
inference(avatar_split_clause,[],[f557,f798,f812]) ).
fof(f817,definition,
( spl56_7
<=> occ(sK10,'**'(sK9,sK11)) = '@+'(occ(sK10,sK9),occ(sK10,sK11)) ),
introduced(definition,[new_symbols(definition,[spl56_7])],[avatar_definition]) ).
fof(f819,plain,
( occ(sK10,'**'(sK9,sK11)) != '@+'(occ(sK10,sK9),occ(sK10,sK11))
| spl56_7 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f820,plain,
( ~ spl56_7
| spl56_3 ),
inference(avatar_split_clause,[],[f558,f798,f817]) ).
fof(f822,plain,
( occ(sK6,'**'(sK7,sK8)) != occ(sK6,'**'(sK7,sK8))
| ~ list_succeeds(sK7)
| ~ list_succeeds(sK8)
| ~ spl56_3 ),
inference(superposition,[],[f531,f799]) ).
fof(f823,plain,
( ~ list_succeeds(sK7)
| ~ list_succeeds(sK8)
| ~ spl56_3 ),
inference(trivial_inequality_removal,[],[f822]) ).
fof(f824,plain,
( ~ list_succeeds(sK8)
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f823,f530]) ).
fof(f825,plain,
( $false
| ~ spl56_3 ),
inference(forward_subsumption_resolution,[],[f824,f529]) ).
fof(f826,plain,
~ spl56_3,
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f827,plain,
( occ(sK10,'**'(nil,sK11)) != '@+'(occ(sK10,nil),occ(sK10,sK11))
| ~ spl56_1
| spl56_7 ),
inference(forward_demodulation,[],[f819,f793]) ).
fof(f828,plain,
( occ(sK10,'**'(nil,sK11)) != '@+'('0',occ(sK10,sK11))
| ~ spl56_1
| spl56_7 ),
inference(forward_demodulation,[],[f827,f562]) ).
fof(f829,plain,
( occ(sK10,sK11) != occ(sK10,'**'(nil,sK11))
| ~ spl56_1
| spl56_7 ),
inference(forward_demodulation,[],[f828,f622]) ).
fof(f830,plain,
( occ(sK10,sK11) != occ(sK10,sK11)
| ~ spl56_1
| spl56_7 ),
inference(forward_demodulation,[],[f829,f553]) ).
fof(f831,plain,
( $false
| ~ spl56_1
| spl56_7 ),
inference(trivial_inequality_removal,[],[f830]) ).
fof(f832,plain,
( ~ spl56_1
| spl56_7 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f844,plain,
( ! [X0] :
( occ(X0,sK13) = occ(X0,sK9)
| ~ list_succeeds(sK13)
| sK12 = X0 )
| ~ spl56_5 ),
inference(superposition,[],[f561,f809]) ).
fof(f845,plain,
( ! [X0] :
( occ(X0,sK13) = occ(X0,sK9)
| sK12 = X0 )
| ~ spl56_4
| ~ spl56_5 ),
inference(forward_subsumption_resolution,[],[f844,f804]) ).
fof(f855,plain,
( ! [X0,X1] :
( occ(X0,'**'(sK13,X1)) = '@+'(occ(X0,sK9),occ(X0,X1))
| ~ list_succeeds(X1)
| sK12 = X0 )
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5 ),
inference(superposition,[],[f796,f845]) ).
fof(f863,plain,
( occ(sK10,'**'(sK9,sK11)) != occ(sK10,'**'(sK13,sK11))
| ~ list_succeeds(sK11)
| sK10 = sK12
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| spl56_7 ),
inference(superposition,[],[f819,f855]) ).
fof(f868,plain,
( occ(sK10,'**'(sK9,sK11)) != occ(sK10,'**'(sK13,sK11))
| sK10 = sK12
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7 ),
inference(forward_subsumption_resolution,[],[f863,f814]) ).
fof(f870,definition,
( spl56_10
<=> sK10 = sK12 ),
introduced(definition,[new_symbols(definition,[spl56_10])],[avatar_definition]) ).
fof(f872,plain,
( sK10 = sK12
| ~ spl56_10 ),
inference(avatar_component_clause,[],[f870]) ).
fof(f874,definition,
( spl56_11
<=> occ(sK10,'**'(sK9,sK11)) = occ(sK10,'**'(sK13,sK11)) ),
introduced(definition,[new_symbols(definition,[spl56_11])],[avatar_definition]) ).
fof(f876,plain,
( occ(sK10,'**'(sK9,sK11)) != occ(sK10,'**'(sK13,sK11))
| spl56_11 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f877,plain,
( spl56_10
| ~ spl56_11
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7 ),
inference(avatar_split_clause,[],[f868,f817,f812,f807,f802,f795,f874,f870]) ).
fof(f880,plain,
( s(occ(sK12,sK13)) = occ(sK12,sK9)
| ~ list_succeeds(sK13)
| ~ spl56_5 ),
inference(superposition,[],[f560,f809]) ).
fof(f886,plain,
( s(occ(sK12,sK13)) = occ(sK12,sK9)
| ~ spl56_4
| ~ spl56_5 ),
inference(forward_subsumption_resolution,[],[f880,f804]) ).
fof(f895,plain,
( ! [X0] :
( cons(sK12,'**'(sK13,X0)) = '**'(sK9,X0)
| ~ list_succeeds(sK13) )
| ~ spl56_5 ),
inference(superposition,[],[f552,f809]) ).
fof(f898,plain,
( ! [X0] : cons(sK12,'**'(sK13,X0)) = '**'(sK9,X0)
| ~ spl56_4
| ~ spl56_5 ),
inference(forward_subsumption_resolution,[],[f895,f804]) ).
fof(f901,plain,
( ! [X0] :
( s(occ(sK12,'**'(sK13,X0))) = occ(sK12,'**'(sK9,X0))
| ~ list_succeeds('**'(sK13,X0)) )
| ~ spl56_4
| ~ spl56_5 ),
inference(superposition,[],[f560,f898]) ).
fof(f903,plain,
( ! [X0,X1] :
( occ(X1,'**'(sK13,X0)) = occ(X1,'**'(sK9,X0))
| ~ list_succeeds('**'(sK13,X0))
| sK12 = X1 )
| ~ spl56_4
| ~ spl56_5 ),
inference(superposition,[],[f561,f898]) ).
fof(f906,plain,
( occ(sK10,'**'(sK9,sK11)) != occ(sK10,'**'(sK9,sK11))
| ~ list_succeeds('**'(sK13,sK11))
| sK10 = sK12
| ~ spl56_4
| ~ spl56_5
| spl56_11 ),
inference(superposition,[],[f876,f903]) ).
fof(f914,plain,
( ~ list_succeeds('**'(sK13,sK11))
| sK10 = sK12
| ~ spl56_4
| ~ spl56_5
| spl56_11 ),
inference(trivial_inequality_removal,[],[f906]) ).
fof(f917,definition,
( spl56_12
<=> list_succeeds('**'(sK13,sK11)) ),
introduced(definition,[new_symbols(definition,[spl56_12])],[avatar_definition]) ).
fof(f918,plain,
( list_succeeds('**'(sK13,sK11))
| ~ spl56_12 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f919,plain,
( ~ list_succeeds('**'(sK13,sK11))
| spl56_12 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f920,plain,
( spl56_10
| ~ spl56_12
| ~ spl56_4
| ~ spl56_5
| spl56_11 ),
inference(avatar_split_clause,[],[f914,f874,f807,f802,f917,f870]) ).
fof(f1007,plain,
( ~ list_succeeds(sK13)
| ~ list_succeeds(sK11)
| spl56_12 ),
inference(resolution,[],[f551,f919]) ).
fof(f1014,plain,
( ~ list_succeeds(sK11)
| ~ spl56_4
| spl56_12 ),
inference(forward_subsumption_resolution,[],[f1007,f804]) ).
fof(f1015,plain,
( $false
| ~ spl56_4
| ~ spl56_6
| spl56_12 ),
inference(forward_subsumption_resolution,[],[f1014,f814]) ).
fof(f1016,plain,
( ~ spl56_4
| ~ spl56_6
| spl56_12 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1018,plain,
( ! [X0] :
( s(occ(sK10,'**'(sK13,X0))) = occ(sK10,'**'(sK9,X0))
| ~ list_succeeds('**'(sK13,X0)) )
| ~ spl56_4
| ~ spl56_5
| ~ spl56_10 ),
inference(superposition,[],[f901,f872]) ).
fof(f1174,plain,
( ! [X0,X1] :
( s(occ(X0,'**'(sK13,X1))) = '@+'(s(occ(X0,sK13)),occ(X0,X1))
| ~ nat_succeeds(occ(X0,sK13))
| ~ list_succeeds(X1) )
| ~ spl56_2 ),
inference(superposition,[],[f538,f796]) ).
fof(f1198,plain,
( ! [X0] :
( s(occ(sK12,'**'(sK13,X0))) = '@+'(occ(sK12,sK9),occ(sK12,X0))
| ~ nat_succeeds(occ(sK12,sK13))
| ~ list_succeeds(X0) )
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5 ),
inference(superposition,[],[f1174,f886]) ).
fof(f1217,definition,
( spl56_13
<=> nat_succeeds(occ(sK10,sK13)) ),
introduced(definition,[new_symbols(definition,[spl56_13])],[avatar_definition]) ).
fof(f1219,plain,
( ~ nat_succeeds(occ(sK10,sK13))
| spl56_13 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1221,definition,
( spl56_14
<=> ! [X0] :
( s(occ(sK10,'**'(sK13,X0))) = '@+'(occ(sK10,sK9),occ(sK10,X0))
| ~ list_succeeds(X0) ) ),
introduced(definition,[new_symbols(definition,[spl56_14])],[avatar_definition]) ).
fof(f1222,plain,
( ! [X0] :
( s(occ(sK10,'**'(sK13,X0))) = '@+'(occ(sK10,sK9),occ(sK10,X0))
| ~ list_succeeds(X0) )
| ~ spl56_14 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1224,plain,
( ! [X0] :
( s(occ(sK10,'**'(sK13,X0))) = '@+'(occ(sK10,sK9),occ(sK10,X0))
| ~ nat_succeeds(occ(sK12,sK13))
| ~ list_succeeds(X0) )
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| ~ spl56_10 ),
inference(forward_demodulation,[],[f1198,f872]) ).
fof(f1227,plain,
( ! [X0] :
( ~ nat_succeeds(occ(sK10,sK13))
| s(occ(sK10,'**'(sK13,X0))) = '@+'(occ(sK10,sK9),occ(sK10,X0))
| ~ list_succeeds(X0) )
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| ~ spl56_10 ),
inference(forward_demodulation,[],[f1224,f872]) ).
fof(f1228,plain,
( spl56_14
| ~ spl56_13
| ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| ~ spl56_10 ),
inference(avatar_split_clause,[],[f1227,f870,f807,f802,f795,f1217,f1221]) ).
fof(f5685,plain,
( ~ list_succeeds(sK13)
| spl56_13 ),
inference(resolution,[],[f559,f1219]) ).
fof(f5772,plain,
( $false
| ~ spl56_4
| spl56_13 ),
inference(forward_subsumption_resolution,[],[f5685,f804]) ).
fof(f5773,plain,
( ~ spl56_4
| spl56_13 ),
inference(avatar_contradiction_clause,[],[f5772]) ).
fof(f5798,plain,
( occ(sK10,'**'(sK9,sK11)) != s(occ(sK10,'**'(sK13,sK11)))
| ~ list_succeeds(sK11)
| spl56_7
| ~ spl56_14 ),
inference(superposition,[],[f819,f1222]) ).
fof(f5809,plain,
( occ(sK10,'**'(sK9,sK11)) != s(occ(sK10,'**'(sK13,sK11)))
| ~ spl56_6
| spl56_7
| ~ spl56_14 ),
inference(forward_subsumption_resolution,[],[f5798,f814]) ).
fof(f5815,plain,
( occ(sK10,'**'(sK9,sK11)) != occ(sK10,'**'(sK9,sK11))
| ~ list_succeeds('**'(sK13,sK11))
| ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7
| ~ spl56_10
| ~ spl56_14 ),
inference(superposition,[],[f5809,f1018]) ).
fof(f5816,plain,
( ~ list_succeeds('**'(sK13,sK11))
| ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7
| ~ spl56_10
| ~ spl56_14 ),
inference(trivial_inequality_removal,[],[f5815]) ).
fof(f5817,plain,
( $false
| ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7
| ~ spl56_10
| ~ spl56_12
| ~ spl56_14 ),
inference(forward_subsumption_resolution,[],[f5816,f918]) ).
fof(f5818,plain,
( ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7
| ~ spl56_10
| ~ spl56_12
| ~ spl56_14 ),
inference(avatar_contradiction_clause,[],[f5817]) ).
cnf(s1,plain,
( spl56_1
| spl56_2
| spl56_3 ),
inference(sat_conversion,[],[f800]) ).
cnf(s2,plain,
( spl56_1
| spl56_3
| spl56_4 ),
inference(sat_conversion,[],[f805]) ).
cnf(s3,plain,
( spl56_1
| spl56_3
| spl56_5 ),
inference(sat_conversion,[],[f810]) ).
cnf(s4,plain,
( spl56_3
| spl56_6 ),
inference(sat_conversion,[],[f815]) ).
cnf(s5,plain,
( spl56_3
| ~ spl56_7 ),
inference(sat_conversion,[],[f820]) ).
cnf(s6,plain,
~ spl56_3,
inference(sat_conversion,[],[f826]) ).
cnf(s7,plain,
( ~ spl56_1
| spl56_7 ),
inference(sat_conversion,[],[f832]) ).
cnf(s9,plain,
( ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7
| spl56_10
| ~ spl56_11 ),
inference(sat_conversion,[],[f877]) ).
cnf(s10,plain,
( ~ spl56_4
| ~ spl56_5
| spl56_10
| spl56_11
| ~ spl56_12 ),
inference(sat_conversion,[],[f920]) ).
cnf(s11,plain,
( ~ spl56_4
| ~ spl56_6
| spl56_12 ),
inference(sat_conversion,[],[f1016]) ).
cnf(s13,plain,
( ~ spl56_2
| ~ spl56_4
| ~ spl56_5
| ~ spl56_10
| ~ spl56_13
| spl56_14 ),
inference(sat_conversion,[],[f1228]) ).
cnf(s125,plain,
( ~ spl56_4
| spl56_13 ),
inference(sat_conversion,[],[f5773]) ).
cnf(s126,plain,
( ~ spl56_4
| ~ spl56_5
| ~ spl56_6
| spl56_7
| ~ spl56_10
| ~ spl56_12
| ~ spl56_14 ),
inference(sat_conversion,[],[f5818]) ).
cnf(s127,plain,
~ spl56_7,
inference(rat,[],[s5,s6]) ).
cnf(s128,plain,
~ spl56_1,
inference(rat,[],[s7,s127]) ).
cnf(s129,plain,
spl56_6,
inference(rat,[],[s4,s6]) ).
cnf(s130,plain,
spl56_5,
inference(rat,[],[s3,s6,s128]) ).
cnf(s131,plain,
spl56_4,
inference(rat,[],[s2,s6,s128]) ).
cnf(s132,plain,
spl56_13,
inference(rat,[],[s125,s131]) ).
cnf(s135,plain,
spl56_12,
inference(rat,[],[s11,s129,s131]) ).
cnf(s151,plain,
spl56_2,
inference(rat,[],[s1,s6,s128]) ).
cnf(s153,plain,
spl56_10,
inference(rat,[],[s9,s10,s130,s129,s127,s131,s151,s135]) ).
cnf(s154,plain,
~ spl56_14,
inference(rat,[],[s126,s135,s131,s130,s127,s129,s153]) ).
cnf(s163,plain,
$false,
inference(rat,[],[s13,s151,s132,s131,s130,s154,s153]) ).
fof(f5819,plain,
$false,
inference(avatar_sat_refutation,[],[s163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX049+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n009.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 14:54:45 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 20.17/3.37 % (3120866)Detected formulas, will run a generic FOF schedule.
% 20.17/3.37 % (3120955)dis-21_1_sil=8000:lcm=predicate:random_seed=2326909972: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)
% 20.17/3.37 % (3120951)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1943401058:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.17/3.37 % (3120949)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=2381795061:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.17/3.37 % (3120948)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=68511684:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.17/3.37 % (3120951)Refutation not found, incomplete strategy
% 20.17/3.37 % (3120951)------------------------------
% 20.17/3.37 % (3120951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.37 % (3120951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.37 % (3120951)CaDiCaL version: 2.1.3
% 20.17/3.37 % (3120951)Termination reason: Refutation not found, incomplete strategy
% 20.17/3.37 % (3120951)Time elapsed: 0.004 s
% 20.17/3.37 % (3120951)Peak memory usage: 89 MB
% 20.17/3.37 % (3120951)Instructions burned: 5 (million)
% 20.17/3.37 % (3120955)Instruction limit reached!
% 20.17/3.37 % (3120955)------------------------------
% 20.17/3.37 % (3120955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.37 % (3120955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.37 % (3120955)CaDiCaL version: 2.1.3
% 20.17/3.37 % (3120955)Termination reason: Instruction limit
% 20.17/3.37 % (3120955)Termination phase: Saturation
% 20.17/3.37 % (3120955)Time elapsed: 0.043 s
% 20.17/3.37 % (3120955)Peak memory usage: 90 MB
% 20.17/3.37 % (3120955)Instructions burned: 130 (million)
% 20.17/3.37 % (3120950)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=1557629289:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.17/3.37 % (3120954)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1717659935:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.17/3.37 % (3120952)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3764461659:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.17/3.37 % (3120954)Instruction limit reached!
% 20.17/3.37 % (3120954)------------------------------
% 20.17/3.37 % (3120954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.37 % (3120954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.37 % (3120954)CaDiCaL version: 2.1.3
% 20.17/3.37 % (3120954)Termination reason: Instruction limit
% 20.17/3.37 % (3120954)Termination phase: Saturation
% 20.17/3.37 % (3120954)Time elapsed: 0.132 s
% 20.17/3.37 % (3120954)Peak memory usage: 90 MB
% 20.17/3.37 % (3120954)Instructions burned: 139 (million)
% 20.17/3.37 % (3120952)Instruction limit reached!
% 20.17/3.37 % (3120952)------------------------------
% 20.17/3.37 % (3120952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.37 % (3120952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.37 % (3120952)CaDiCaL version: 2.1.3
% 20.17/3.37 % (3120952)Termination reason: Instruction limit
% 20.17/3.37 % (3120952)Termination phase: Saturation
% 20.17/3.37 % (3120952)Time elapsed: 0.115 s
% 20.17/3.37 % (3120952)Peak memory usage: 88 MB
% 20.17/3.37 % (3120952)Instructions burned: 119 (million)
% 20.17/3.37 % (3120999)lrs+10_1_sil=8000:sp=occurrence:random_seed=3719182459:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 20.17/3.37 % (3120951)------------------------------
% 20.17/3.37 % (3120951)------------------------------
% 20.17/3.37 % (3120999)Instruction limit reached!
% 20.17/3.37 % (3120999)------------------------------
% 20.17/3.37 % (3120999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.17/3.37 % (3120999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.17/3.37 % (3120999)CaDiCaL version: 2.1.3
% 20.17/3.37 % (3120999)Termination reason: Instruction limit
% 20.17/3.37 % (3120999)Termination phase: Saturation
% 20.17/3.37 % (3120999)Time elapsed: 0.176 s
% 27.90/4.47 % (3120999)Peak memory usage: 92 MB
% 27.90/4.47 % (3120999)Instructions burned: 286 (million)
% 27.90/4.47 % (3121024)lrs+10_1_sil=32000:urr=on:br=off:random_seed=140575848:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 27.90/4.47 % (3121025)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2058684494:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 27.90/4.47 % (3121024)Instruction limit reached!
% 27.90/4.47 % (3121024)------------------------------
% 27.90/4.47 % (3121024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121024)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121024)Termination reason: Instruction limit
% 27.90/4.47 % (3121024)Termination phase: Saturation
% 27.90/4.47 % (3121024)Time elapsed: 0.088 s
% 27.90/4.47 % (3121024)Peak memory usage: 91 MB
% 27.90/4.47 % (3121024)Instructions burned: 159 (million)
% 27.90/4.47 % (3121037)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1523244602:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 27.90/4.47 % (3121036)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=779822965:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 27.90/4.47 % (3121043)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=902022580:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 27.90/4.47 % (3121025)Instruction limit reached!
% 27.90/4.47 % (3121025)------------------------------
% 27.90/4.47 % (3121025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121025)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121025)Termination reason: Instruction limit
% 27.90/4.47 % (3121025)Termination phase: Saturation
% 27.90/4.47 % (3121025)Time elapsed: 0.309 s
% 27.90/4.47 % (3121025)Peak memory usage: 92 MB
% 27.90/4.47 % (3121025)Instructions burned: 325 (million)
% 27.90/4.47 % (3121036)Instruction limit reached!
% 27.90/4.47 % (3121036)------------------------------
% 27.90/4.47 % (3121036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121036)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121036)Termination reason: Instruction limit
% 27.90/4.47 % (3121036)Termination phase: Saturation
% 27.90/4.47 % (3121036)Time elapsed: 0.130 s
% 27.90/4.47 % (3121036)Peak memory usage: 93 MB
% 27.90/4.47 % (3121036)Instructions burned: 248 (million)
% 27.90/4.47 % (3121037)Instruction limit reached!
% 27.90/4.47 % (3121037)------------------------------
% 27.90/4.47 % (3121037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121037)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121037)Termination reason: Instruction limit
% 27.90/4.47 % (3121037)Termination phase: Saturation
% 27.90/4.47 % (3121037)Time elapsed: 0.297 s
% 27.90/4.47 % (3121037)Peak memory usage: 90 MB
% 27.90/4.47 % (3121037)Instructions burned: 294 (million)
% 27.90/4.47 % (3121047)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3657073640:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 27.90/4.47 % (3121050)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2444607874:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 27.90/4.47 % (3121050)Instruction limit reached!
% 27.90/4.47 % (3121050)------------------------------
% 27.90/4.47 % (3121050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121050)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121050)Termination reason: Instruction limit
% 27.90/4.47 % (3121050)Termination phase: Saturation
% 27.90/4.47 % (3121050)Time elapsed: 0.062 s
% 27.90/4.47 % (3121050)Peak memory usage: 90 MB
% 27.90/4.47 % (3121050)Instructions burned: 128 (million)
% 27.90/4.47 % (3121047)Instruction limit reached!
% 27.90/4.47 % (3121047)------------------------------
% 27.90/4.47 % (3121047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121047)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121047)Termination reason: Instruction limit
% 27.90/4.47 % (3121047)Termination phase: Saturation
% 27.90/4.47 % (3121047)Time elapsed: 0.118 s
% 27.90/4.47 % (3121047)Peak memory usage: 90 MB
% 27.90/4.47 % (3121047)Instructions burned: 113 (million)
% 27.90/4.47 % (3121053)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1998810126:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 27.90/4.47 % (3121059)lrs+10_1_sil=8000:sp=occurrence:random_seed=3165921799:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 27.90/4.47 % (3121053)Instruction limit reached!
% 27.90/4.47 % (3121053)------------------------------
% 27.90/4.47 % (3121053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121053)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121053)Termination reason: Instruction limit
% 27.90/4.47 % (3121053)Termination phase: Saturation
% 27.90/4.47 % (3121053)Time elapsed: 0.109 s
% 27.90/4.47 % (3121053)Peak memory usage: 89 MB
% 27.90/4.47 % (3121053)Instructions burned: 115 (million)
% 27.90/4.47 % (3121061)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2656611930:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 27.90/4.47 % (3121061)Instruction limit reached!
% 27.90/4.47 % (3121061)------------------------------
% 27.90/4.47 % (3121061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121061)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121061)Termination reason: Instruction limit
% 27.90/4.47 % (3121061)Termination phase: Saturation
% 27.90/4.47 % (3121061)Time elapsed: 0.237 s
% 27.90/4.47 % (3121061)Peak memory usage: 94 MB
% 27.90/4.47 % (3121061)Instructions burned: 437 (million)
% 27.90/4.47 % (3121064)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=37737812:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 27.90/4.47 % (3121066)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3908807453:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 27.90/4.47 % (3121066)Instruction limit reached!
% 27.90/4.47 % (3121066)------------------------------
% 27.90/4.47 % (3121066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121066)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121066)Termination reason: Instruction limit
% 27.90/4.47 % (3121066)Termination phase: Saturation
% 27.90/4.47 % (3121066)Time elapsed: 0.129 s
% 27.90/4.47 % (3121066)Peak memory usage: 91 MB
% 27.90/4.47 % (3121066)Instructions burned: 135 (million)
% 27.90/4.47 % (3121075)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=103831708:st=8:i=592:sd=3:ep=RST:ss=axioms_2979 on theBenchmark for (2979ds/592Mi)
% 27.90/4.47 % (3121059)Instruction limit reached!
% 27.90/4.47 % (3121059)------------------------------
% 27.90/4.47 % (3121059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121059)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121059)Termination reason: Instruction limit
% 27.90/4.47 % (3121059)Termination phase: Saturation
% 27.90/4.47 % (3121059)Time elapsed: 0.939 s
% 27.90/4.47 % (3121059)Peak memory usage: 98 MB
% 27.90/4.47 % (3121059)Instructions burned: 908 (million)
% 27.90/4.47 % (3121079)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2511343513:st=3:i=13193:sd=3:ss=axioms_2975 on theBenchmark for (2975ds/13193Mi)
% 27.90/4.47 % (3121043)Instruction limit reached!
% 27.90/4.47 % (3121043)------------------------------
% 27.90/4.47 % (3121043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121043)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121043)Termination reason: Instruction limit
% 27.90/4.47 % (3121043)Termination phase: Saturation
% 27.90/4.47 % (3121043)Time elapsed: 1.906 s
% 27.90/4.47 % (3121043)Peak memory usage: 143 MB
% 27.90/4.47 % (3121043)Instructions burned: 2352 (million)
% 27.90/4.47 % (3121075)Instruction limit reached!
% 27.90/4.47 % (3121075)------------------------------
% 27.90/4.47 % (3121075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121075)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121075)Termination reason: Instruction limit
% 27.90/4.47 % (3121075)Termination phase: Saturation
% 27.90/4.47 % (3121075)Time elapsed: 0.558 s
% 27.90/4.47 % (3121075)Peak memory usage: 99 MB
% 27.90/4.47 % (3121075)Instructions burned: 592 (million)
% 27.90/4.47 % (3121083)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3971270436:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 27.90/4.47 % (3121083)Instruction limit reached!
% 27.90/4.47 % (3121083)------------------------------
% 27.90/4.47 % (3121083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121083)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121083)Termination reason: Instruction limit
% 27.90/4.47 % (3121083)Termination phase: Saturation
% 27.90/4.47 % (3121083)Time elapsed: 0.071 s
% 27.90/4.47 % (3121083)Peak memory usage: 91 MB
% 27.90/4.47 % (3121083)Instructions burned: 125 (million)
% 27.90/4.47 % (3121084)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2360908192:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 27.90/4.47 % (3121086)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2033112835:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 27.90/4.47 % (3121086)Instruction limit reached!
% 27.90/4.47 % (3121086)------------------------------
% 27.90/4.47 % (3121086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121086)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121086)Termination reason: Instruction limit
% 27.90/4.47 % (3121086)Termination phase: Saturation
% 27.90/4.47 % (3121086)Time elapsed: 0.043 s
% 27.90/4.47 % (3121086)Peak memory usage: 91 MB
% 27.90/4.47 % (3121086)Instructions burned: 141 (million)
% 27.90/4.47 % (3121084)Instruction limit reached!
% 27.90/4.47 % (3121084)------------------------------
% 27.90/4.47 % (3121084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.90/4.47 % (3121084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.90/4.47 % (3121084)CaDiCaL version: 2.1.3
% 27.90/4.47 % (3121084)Termination reason: Instruction limit
% 27.90/4.47 % (3121084)Termination phase: Saturation
% 27.90/4.47 % (3121084)Time elapsed: 0.138 s
% 27.90/4.47 % (3121084)Peak memory usage: 91 MB
% 27.90/4.47 % (3121084)Instructions burned: 135 (million)
% 27.90/4.47 % (3121090)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=598731610:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 27.90/4.47 % (3121089)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1900351885:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 27.90/4.47 % (3121064)First to succeed.
% 27.90/4.47 % (3121064)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3120866"
% 27.90/4.47 % (3121064)Refutation found. Thanks to Tanya!
% 27.90/4.47 % SZS status Theorem for theBenchmark
% 27.90/4.47 % SZS output start Proof for theBenchmark
% See solution above
% 28.64/4.76 % (3121064)------------------------------
% 28.64/4.76 % (3121064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.64/4.76 % (3121064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.64/4.76 % (3121064)CaDiCaL version: 2.1.3
% 28.64/4.76 % (3121064)Termination reason: Refutation
% 28.64/4.76 % (3121064)Time elapsed: 1.826 s
% 28.64/4.76 % (3121064)Peak memory usage: 136 MB
% 28.64/4.76 % (3121064)Instructions burned: 1693 (million)
% 28.64/4.76 % (3121064)------------------------------
% 28.64/4.76 % (3121064)------------------------------
% 28.64/4.76 % (3120866)Success in time 4.01 s
% 28.64/4.76 % Vampire exiting
%------------------------------------------------------------------------------