%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU240+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:47:57 PM UTC 2026
% Result : Theorem 4.11s 1.56s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 74 ( 7 unt; 5 def)
% Number of atoms : 280 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 339 ( 133 ~; 137 |; 46 &)
% ( 12 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn 96 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( relation(X0)
=> ( transitive(X0)
<=> is_transitive_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_relat_2) ).
fof(f56,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( ( in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) )
=> in(ordered_pair(X2,X4),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_relat_2) ).
fof(f134,conjecture,
! [X0] :
( relation(X0)
=> ( transitive(X0)
<=> ! [X1,X2,X3] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) )
=> in(ordered_pair(X1,X3),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_wellord1) ).
fof(f135,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( transitive(X0)
<=> ! [X1,X2,X3] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) )
=> in(ordered_pair(X1,X3),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f134]) ).
fof(f212,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
fof(f321,plain,
! [X0] :
( ( transitive(X0)
<=> is_transitive_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f344,plain,
! [X0] :
( ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f345,plain,
! [X0] :
( ! [X1] :
( is_transitive_in(X0,X1)
<=> ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f344]) ).
fof(f403,plain,
? [X0] :
( ( transitive(X0)
<~> ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) ) )
& relation(X0) ),
inference(ennf_transformation,[],[f135]) ).
fof(f404,plain,
? [X0] :
( ( transitive(X0)
<~> ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) ) )
& relation(X0) ),
inference(flattening,[],[f403]) ).
fof(f479,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f212]) ).
fof(f480,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f479]) ).
fof(f591,plain,
! [X0] :
( ( ( transitive(X0)
| ~ is_transitive_in(X0,relation_field(X0)) )
& ( is_transitive_in(X0,relation_field(X0))
| ~ transitive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f321]) ).
fof(f675,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ? [X2,X3,X4] :
( ~ in(ordered_pair(X2,X4),X0)
& in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X2,X3,X4] :
( in(ordered_pair(X2,X4),X0)
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(X4,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X4),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f345]) ).
fof(f676,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ? [X2,X3,X4] :
( ~ in(ordered_pair(X2,X4),X0)
& in(X2,X1)
& in(X3,X1)
& in(X4,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X4),X0) ) )
& ( ! [X5,X6,X7] :
( in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X6,X7),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f675]) ).
fof(f677,plain,
! [X0] :
( ! [X1] :
( ( is_transitive_in(X0,X1)
| ( ~ in(ordered_pair(sK65(X0,X1),sK67(X0,X1)),X0)
& in(sK65(X0,X1),X1)
& in(sK66(X0,X1),X1)
& in(sK67(X0,X1),X1)
& in(ordered_pair(sK65(X0,X1),sK66(X0,X1)),X0)
& in(ordered_pair(sK66(X0,X1),sK67(X0,X1)),X0) ) )
& ( ! [X5,X6,X7] :
( in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| ~ in(ordered_pair(X6,X7),X0) )
| ~ is_transitive_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65,sK66,sK67]),skolemize(X2,sK65(X0,X1)),skolemize(X3,sK66(X0,X1)),skolemize(X4,sK67(X0,X1))],[f676]) ).
fof(f687,plain,
? [X0] :
( ( ? [X1,X2,X3] :
( ~ in(ordered_pair(X1,X3),X0)
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) )
| ~ transitive(X0) )
& ( ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) )
| transitive(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f404]) ).
fof(f688,plain,
? [X0] :
( ( ? [X1,X2,X3] :
( ~ in(ordered_pair(X1,X3),X0)
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) )
| ~ transitive(X0) )
& ( ! [X1,X2,X3] :
( in(ordered_pair(X1,X3),X0)
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X3),X0) )
| transitive(X0) )
& relation(X0) ),
inference(flattening,[],[f687]) ).
fof(f689,plain,
? [X0] :
( ( ? [X1,X2,X3] :
( ~ in(ordered_pair(X1,X3),X0)
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X3),X0) )
| ~ transitive(X0) )
& ( ! [X4,X5,X6] :
( in(ordered_pair(X4,X6),X0)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X6),X0) )
| transitive(X0) )
& relation(X0) ),
inference(rectify,[],[f688]) ).
fof(f690,plain,
( ( ( ~ in(ordered_pair(sK72,sK74),sK71)
& in(ordered_pair(sK72,sK73),sK71)
& in(ordered_pair(sK73,sK74),sK71) )
| ~ transitive(sK71) )
& ( ! [X4,X5,X6] :
( in(ordered_pair(X4,X6),sK71)
| ~ in(ordered_pair(X4,X5),sK71)
| ~ in(ordered_pair(X5,X6),sK71) )
| transitive(sK71) )
& relation(sK71) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71,sK72,sK73,sK74]),skolemize(X0,sK71),skolemize(X1,sK72),skolemize(X2,sK73),skolemize(X3,sK74)],[f689]) ).
fof(f838,plain,
! [X0] :
( is_transitive_in(X0,relation_field(X0))
| ~ transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f591]) ).
fof(f839,plain,
! [X0] :
( ~ is_transitive_in(X0,relation_field(X0))
| transitive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f591]) ).
fof(f978,plain,
! [X0,X1,X6,X7,X5] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X5,X1)
| ~ in(X6,X1)
| ~ in(X7,X1)
| ~ in(ordered_pair(X5,X6),X0)
| in(ordered_pair(X5,X7),X0)
| ~ is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f677]) ).
fof(f979,plain,
! [X0,X1] :
( in(ordered_pair(sK66(X0,X1),sK67(X0,X1)),X0)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f677]) ).
fof(f980,plain,
! [X0,X1] :
( in(ordered_pair(sK65(X0,X1),sK66(X0,X1)),X0)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f677]) ).
fof(f984,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK65(X0,X1),sK67(X0,X1)),X0)
| is_transitive_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f677]) ).
fof(f1075,plain,
relation(sK71),
inference(cnf_transformation,[],[f690]) ).
fof(f1076,plain,
! [X6,X4,X5] :
( in(ordered_pair(X4,X6),sK71)
| ~ in(ordered_pair(X4,X5),sK71)
| ~ in(ordered_pair(X5,X6),sK71)
| transitive(sK71) ),
inference(cnf_transformation,[],[f690]) ).
fof(f1077,plain,
( in(ordered_pair(sK73,sK74),sK71)
| ~ transitive(sK71) ),
inference(cnf_transformation,[],[f690]) ).
fof(f1078,plain,
( in(ordered_pair(sK72,sK73),sK71)
| ~ transitive(sK71) ),
inference(cnf_transformation,[],[f690]) ).
fof(f1079,plain,
( ~ in(ordered_pair(sK72,sK74),sK71)
| ~ transitive(sK71) ),
inference(cnf_transformation,[],[f690]) ).
fof(f1207,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_field(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f480]) ).
fof(f1208,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_field(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f480]) ).
fof(f1349,definition,
( spl109_3
<=> transitive(sK71) ),
introduced(definition,[new_symbols(definition,[spl109_3])],[avatar_definition]) ).
fof(f1350,plain,
( ~ transitive(sK71)
| spl109_3 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1351,plain,
( transitive(sK71)
| ~ spl109_3 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1353,definition,
( spl109_4
<=> ! [X6,X4,X5] :
( in(ordered_pair(X4,X6),sK71)
| ~ in(ordered_pair(X5,X6),sK71)
| ~ in(ordered_pair(X4,X5),sK71) ) ),
introduced(definition,[new_symbols(definition,[spl109_4])],[avatar_definition]) ).
fof(f1354,plain,
( ! [X6,X4,X5] :
( ~ in(ordered_pair(X5,X6),sK71)
| in(ordered_pair(X4,X6),sK71)
| ~ in(ordered_pair(X4,X5),sK71) )
| ~ spl109_4 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1355,plain,
( spl109_3
| spl109_4 ),
inference(avatar_split_clause,[],[f1076,f1353,f1349]) ).
fof(f1357,definition,
( spl109_5
<=> in(ordered_pair(sK73,sK74),sK71) ),
introduced(definition,[new_symbols(definition,[spl109_5])],[avatar_definition]) ).
fof(f1359,plain,
( in(ordered_pair(sK73,sK74),sK71)
| ~ spl109_5 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f1360,plain,
( ~ spl109_3
| spl109_5 ),
inference(avatar_split_clause,[],[f1077,f1357,f1349]) ).
fof(f1362,definition,
( spl109_6
<=> in(ordered_pair(sK72,sK73),sK71) ),
introduced(definition,[new_symbols(definition,[spl109_6])],[avatar_definition]) ).
fof(f1364,plain,
( in(ordered_pair(sK72,sK73),sK71)
| ~ spl109_6 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1365,plain,
( ~ spl109_3
| spl109_6 ),
inference(avatar_split_clause,[],[f1078,f1362,f1349]) ).
fof(f1367,definition,
( spl109_7
<=> in(ordered_pair(sK72,sK74),sK71) ),
introduced(definition,[new_symbols(definition,[spl109_7])],[avatar_definition]) ).
fof(f1369,plain,
( ~ in(ordered_pair(sK72,sK74),sK71)
| spl109_7 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1370,plain,
( ~ spl109_3
| ~ spl109_7 ),
inference(avatar_split_clause,[],[f1079,f1367,f1349]) ).
fof(f1371,plain,
( ~ is_transitive_in(sK71,relation_field(sK71))
| spl109_3 ),
inference(unit_resulting_resolution,[],[f839,f1075,f1350]) ).
fof(f1553,plain,
( in(ordered_pair(sK66(sK71,relation_field(sK71)),sK67(sK71,relation_field(sK71))),sK71)
| spl109_3 ),
inference(unit_resulting_resolution,[],[f979,f1075,f1371]) ).
fof(f1558,plain,
( in(ordered_pair(sK65(sK71,relation_field(sK71)),sK66(sK71,relation_field(sK71))),sK71)
| spl109_3 ),
inference(unit_resulting_resolution,[],[f980,f1075,f1371]) ).
fof(f1559,plain,
( ~ in(ordered_pair(sK65(sK71,relation_field(sK71)),sK67(sK71,relation_field(sK71))),sK71)
| spl109_3 ),
inference(unit_resulting_resolution,[],[f984,f1075,f1371]) ).
fof(f1604,plain,
( ~ in(ordered_pair(sK65(sK71,relation_field(sK71)),sK66(sK71,relation_field(sK71))),sK71)
| spl109_3
| ~ spl109_4 ),
inference(unit_resulting_resolution,[],[f1354,f1553,f1559]) ).
fof(f1614,plain,
( $false
| spl109_3
| ~ spl109_4 ),
inference(forward_subsumption_resolution,[],[f1604,f1558]) ).
fof(f1615,plain,
( spl109_3
| ~ spl109_4 ),
inference(avatar_contradiction_clause,[],[f1614]) ).
fof(f1616,plain,
( is_transitive_in(sK71,relation_field(sK71))
| ~ spl109_3 ),
inference(unit_resulting_resolution,[],[f838,f1075,f1351]) ).
fof(f1621,plain,
( in(sK74,relation_field(sK71))
| ~ spl109_5 ),
inference(unit_resulting_resolution,[],[f1207,f1075,f1359]) ).
fof(f1622,plain,
( in(sK73,relation_field(sK71))
| ~ spl109_5 ),
inference(unit_resulting_resolution,[],[f1208,f1075,f1359]) ).
fof(f1639,plain,
( in(sK72,relation_field(sK71))
| ~ spl109_6 ),
inference(unit_resulting_resolution,[],[f1208,f1075,f1364]) ).
fof(f1804,plain,
( ~ relation(sK71)
| ~ spl109_3
| ~ spl109_5
| ~ spl109_6
| spl109_7 ),
inference(unit_resulting_resolution,[],[f978,f1616,f1621,f1369,f1359,f1364,f1622,f1639]) ).
fof(f1827,plain,
( $false
| ~ spl109_3
| ~ spl109_5
| ~ spl109_6
| spl109_7 ),
inference(forward_subsumption_resolution,[],[f1804,f1075]) ).
fof(f1828,plain,
( ~ spl109_3
| ~ spl109_5
| ~ spl109_6
| spl109_7 ),
inference(avatar_contradiction_clause,[],[f1827]) ).
cnf(s2,plain,
( spl109_3
| spl109_4 ),
inference(sat_conversion,[],[f1355]) ).
cnf(s3,plain,
( ~ spl109_3
| spl109_5 ),
inference(sat_conversion,[],[f1360]) ).
cnf(s4,plain,
( ~ spl109_3
| spl109_6 ),
inference(sat_conversion,[],[f1365]) ).
cnf(s5,plain,
( ~ spl109_3
| ~ spl109_7 ),
inference(sat_conversion,[],[f1370]) ).
cnf(s8,plain,
( spl109_3
| ~ spl109_4 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s17,plain,
( ~ spl109_3
| ~ spl109_5
| ~ spl109_6
| spl109_7 ),
inference(sat_conversion,[],[f1828]) ).
cnf(s18,plain,
spl109_3,
inference(rat,[],[s2,s8]) ).
cnf(s19,plain,
~ spl109_7,
inference(rat,[],[s5,s18]) ).
cnf(s20,plain,
spl109_6,
inference(rat,[],[s4,s18]) ).
cnf(s21,plain,
spl109_5,
inference(rat,[],[s3,s18]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s17,s19,s18,s20,s21]) ).
fof(f1829,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU240+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 04:19:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 4.11/1.56 % (2253140)Detected formulas, will run a generic FOF schedule.
% 4.11/1.56 % (2253146)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=635535538:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.11/1.56 % (2253149)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=399668194:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.11/1.56 % (2253145)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=4016566158:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.11/1.56 % (2253148)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1438142791:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.11/1.56 % (2253147)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=927782220:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.11/1.56 % (2253150)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3710973622:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.11/1.56 % (2253151)dis-21_1_sil=8000:lcm=predicate:random_seed=1153163748: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)
% 4.11/1.56 % (2253151)Instruction limit reached!
% 4.11/1.56 % (2253151)------------------------------
% 4.11/1.56 % (2253151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (2253151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (2253151)CaDiCaL version: 2.1.3
% 4.11/1.56 % (2253151)Termination reason: Instruction limit
% 4.11/1.56 % (2253151)Termination phase: Saturation
% 4.11/1.56 % (2253151)Time elapsed: 0.053 s
% 4.11/1.56 % (2253151)Peak memory usage: 89 MB
% 4.11/1.56 % (2253151)Instructions burned: 131 (million)
% 4.11/1.56 % (2253148)Instruction limit reached!
% 4.11/1.56 % (2253148)------------------------------
% 4.11/1.56 % (2253148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (2253148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (2253148)CaDiCaL version: 2.1.3
% 4.11/1.56 % (2253148)Termination reason: Instruction limit
% 4.11/1.56 % (2253148)Termination phase: Saturation
% 4.11/1.56 % (2253148)Time elapsed: 0.069 s
% 4.11/1.56 % (2253148)Peak memory usage: 90 MB
% 4.11/1.56 % (2253148)Instructions burned: 109 (million)
% 4.11/1.56 % (2253149)Instruction limit reached!
% 4.11/1.56 % (2253149)------------------------------
% 4.11/1.56 % (2253149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (2253149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (2253149)CaDiCaL version: 2.1.3
% 4.11/1.56 % (2253149)Termination reason: Instruction limit
% 4.11/1.56 % (2253149)Termination phase: Saturation
% 4.11/1.56 % (2253149)Time elapsed: 0.070 s
% 4.11/1.56 % (2253149)Peak memory usage: 89 MB
% 4.11/1.56 % (2253149)Instructions burned: 120 (million)
% 4.11/1.56 % (2253150)Instruction limit reached!
% 4.11/1.56 % (2253150)------------------------------
% 4.11/1.56 % (2253150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (2253150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (2253150)CaDiCaL version: 2.1.3
% 4.11/1.56 % (2253150)Termination reason: Instruction limit
% 4.11/1.56 % (2253150)Termination phase: Saturation
% 4.11/1.56 % (2253150)Time elapsed: 0.092 s
% 4.11/1.56 % (2253150)Peak memory usage: 90 MB
% 4.11/1.56 % (2253150)Instructions burned: 140 (million)
% 4.11/1.56 % (2253159)lrs+10_1_sil=8000:sp=occurrence:random_seed=315921483:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.11/1.56 % (2253160)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1352024129:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.11/1.56 % (2253161)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3316899198:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.11/1.56 % (2253160)Refutation not found, incomplete strategy
% 4.11/1.56 % (2253160)------------------------------
% 4.11/1.56 % (2253160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (2253160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (2253160)CaDiCaL version: 2.1.3
% 4.11/1.56 % (2253160)Termination reason: Refutation not found, incomplete strategy
% 4.11/1.56 % (2253160)Time elapsed: 0.005 s
% 4.11/1.56 % (2253160)Peak memory usage: 89 MB
% 4.11/1.56 % (2253160)Instructions burned: 6 (million)
% 4.11/1.56 % (2253162)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=2414239989:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.11/1.56 % (2253162)First to succeed.
% 4.11/1.56 % (2253162)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2253140"
% 4.11/1.56 % (2253159)Instruction limit reached!
% 4.11/1.56 % (2253159)------------------------------
% 4.11/1.56 % (2253159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (2253159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (2253159)CaDiCaL version: 2.1.3
% 4.11/1.56 % (2253159)Termination reason: Instruction limit
% 4.11/1.56 % (2253159)Termination phase: Saturation
% 4.11/1.56 % (2253159)Time elapsed: 0.188 s
% 4.11/1.56 % (2253159)Peak memory usage: 93 MB
% 4.11/1.56 % (2253159)Instructions burned: 285 (million)
% 4.11/1.56 % (2253161)Instruction limit reached!
% 4.11/1.56 % (2253161)------------------------------
% 4.11/1.56 % (2253161)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.11/1.56 % (2253161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.11/1.56 % (2253161)CaDiCaL version: 2.1.3
% 4.11/1.56 % (2253161)Termination reason: Instruction limit
% 4.11/1.56 % (2253161)Termination phase: Saturation
% 4.11/1.56 % (2253161)Time elapsed: 0.220 s
% 4.11/1.56 % (2253161)Peak memory usage: 93 MB
% 4.11/1.56 % (2253161)Instructions burned: 326 (million)
% 4.11/1.56 % (2253160)------------------------------
% 4.11/1.56 % (2253160)------------------------------
% 4.11/1.56 % (2253162)Refutation found. Thanks to Tanya!
% 4.11/1.56 % SZS status Theorem for theBenchmark
% 4.11/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.76 % (2253162)------------------------------
% 5.59/1.76 % (2253162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.76 % (2253162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.76 % (2253162)CaDiCaL version: 2.1.3
% 5.59/1.76 % (2253162)Termination reason: Refutation
% 5.59/1.76 % (2253162)Time elapsed: 0.029 s
% 5.59/1.76 % (2253162)Peak memory usage: 91 MB
% 5.59/1.76 % (2253162)Instructions burned: 43 (million)
% 5.59/1.76 % (2253162)------------------------------
% 5.59/1.76 % (2253162)------------------------------
% 5.59/1.76 % (2253140)Success in time 0.717 s
% 5.59/1.76 % Vampire exiting
%------------------------------------------------------------------------------