%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU242+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 12:47:58 PM UTC 2026
% Result : Theorem 1.61s 1.20s
% Output : Refutation 4.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 80 ( 9 unt; 7 def)
% Number of atoms : 302 ( 28 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 369 ( 147 ~; 151 |; 53 &)
% ( 13 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 75 ( 0 sgn 61 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_2) ).
fof(f55,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
~ ( in(X2,X1)
& in(X3,X1)
& X2 != X3
& ~ in(ordered_pair(X2,X3),X0)
& ~ in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_relat_2) ).
fof(f144,conjecture,
! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,relation_field(X0))
& in(X2,relation_field(X0))
& X1 != X2
& ~ in(ordered_pair(X1,X2),X0)
& ~ in(ordered_pair(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_wellord1) ).
fof(f145,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( connected(X0)
<=> ! [X1,X2] :
~ ( in(X1,relation_field(X0))
& in(X2,relation_field(X0))
& X1 != X2
& ~ in(ordered_pair(X1,X2),X0)
& ~ in(ordered_pair(X2,X1),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f144]) ).
fof(f328,plain,
! [X0] :
( ( connected(X0)
<=> is_connected_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f350,plain,
! [X0] :
( ! [X1] :
( is_connected_in(X0,X1)
<=> ! [X2,X3] :
( ~ in(X2,X1)
| ~ in(X3,X1)
| X2 = X3
| in(ordered_pair(X2,X3),X0)
| in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f421,plain,
? [X0] :
( ( connected(X0)
<~> ! [X1,X2] :
( ~ in(X1,relation_field(X0))
| ~ in(X2,relation_field(X0))
| X1 = X2
| in(ordered_pair(X1,X2),X0)
| in(ordered_pair(X2,X1),X0) ) )
& relation(X0) ),
inference(ennf_transformation,[],[f145]) ).
fof(f606,plain,
! [X0] :
( ( ( connected(X0)
| ~ is_connected_in(X0,relation_field(X0)) )
& ( is_connected_in(X0,relation_field(X0))
| ~ connected(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f328]) ).
fof(f684,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ? [X2,X3] :
( in(X2,X1)
& in(X3,X1)
& X2 != X3
& ~ in(ordered_pair(X2,X3),X0)
& ~ in(ordered_pair(X3,X2),X0) ) )
& ( ! [X2,X3] :
( ~ in(X2,X1)
| ~ in(X3,X1)
| X2 = X3
| in(ordered_pair(X2,X3),X0)
| in(ordered_pair(X3,X2),X0) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f350]) ).
fof(f685,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ? [X2,X3] :
( in(X2,X1)
& in(X3,X1)
& X2 != X3
& ~ in(ordered_pair(X2,X3),X0)
& ~ in(ordered_pair(X3,X2),X0) ) )
& ( ! [X4,X5] :
( ~ in(X4,X1)
| ~ in(X5,X1)
| X4 = X5
| in(ordered_pair(X4,X5),X0)
| in(ordered_pair(X5,X4),X0) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f684]) ).
fof(f686,plain,
! [X0] :
( ! [X1] :
( ( is_connected_in(X0,X1)
| ( in(sK59(X0,X1),X1)
& in(sK60(X0,X1),X1)
& sK59(X0,X1) != sK60(X0,X1)
& ~ in(ordered_pair(sK59(X0,X1),sK60(X0,X1)),X0)
& ~ in(ordered_pair(sK60(X0,X1),sK59(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( ~ in(X4,X1)
| ~ in(X5,X1)
| X4 = X5
| in(ordered_pair(X4,X5),X0)
| in(ordered_pair(X5,X4),X0) )
| ~ is_connected_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59,sK60]),skolemize(X2,sK59(X0,X1)),skolemize(X3,sK60(X0,X1))],[f685]) ).
fof(f717,plain,
? [X0] :
( ( ? [X1,X2] :
( in(X1,relation_field(X0))
& in(X2,relation_field(X0))
& X1 != X2
& ~ in(ordered_pair(X1,X2),X0)
& ~ in(ordered_pair(X2,X1),X0) )
| ~ connected(X0) )
& ( ! [X1,X2] :
( ~ in(X1,relation_field(X0))
| ~ in(X2,relation_field(X0))
| X1 = X2
| in(ordered_pair(X1,X2),X0)
| in(ordered_pair(X2,X1),X0) )
| connected(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f421]) ).
fof(f718,plain,
? [X0] :
( ( ? [X1,X2] :
( in(X1,relation_field(X0))
& in(X2,relation_field(X0))
& X1 != X2
& ~ in(ordered_pair(X1,X2),X0)
& ~ in(ordered_pair(X2,X1),X0) )
| ~ connected(X0) )
& ( ! [X1,X2] :
( ~ in(X1,relation_field(X0))
| ~ in(X2,relation_field(X0))
| X1 = X2
| in(ordered_pair(X1,X2),X0)
| in(ordered_pair(X2,X1),X0) )
| connected(X0) )
& relation(X0) ),
inference(flattening,[],[f717]) ).
fof(f719,plain,
? [X0] :
( ( ? [X1,X2] :
( in(X1,relation_field(X0))
& in(X2,relation_field(X0))
& X1 != X2
& ~ in(ordered_pair(X1,X2),X0)
& ~ in(ordered_pair(X2,X1),X0) )
| ~ connected(X0) )
& ( ! [X3,X4] :
( ~ in(X3,relation_field(X0))
| ~ in(X4,relation_field(X0))
| X3 = X4
| in(ordered_pair(X3,X4),X0)
| in(ordered_pair(X4,X3),X0) )
| connected(X0) )
& relation(X0) ),
inference(rectify,[],[f718]) ).
fof(f720,plain,
( ( ( in(sK81,relation_field(sK80))
& in(sK82,relation_field(sK80))
& sK81 != sK82
& ~ in(ordered_pair(sK81,sK82),sK80)
& ~ in(ordered_pair(sK82,sK81),sK80) )
| ~ connected(sK80) )
& ( ! [X3,X4] :
( ~ in(X3,relation_field(sK80))
| ~ in(X4,relation_field(sK80))
| X3 = X4
| in(ordered_pair(X3,X4),sK80)
| in(ordered_pair(X4,X3),sK80) )
| connected(sK80) )
& relation(sK80) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80,sK81,sK82]),skolemize(X0,sK80),skolemize(X1,sK81),skolemize(X2,sK82)],[f719]) ).
fof(f868,plain,
! [X0] :
( is_connected_in(X0,relation_field(X0))
| ~ connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f606]) ).
fof(f869,plain,
! [X0] :
( ~ is_connected_in(X0,relation_field(X0))
| connected(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f606]) ).
fof(f999,plain,
! [X0,X1,X4,X5] :
( ~ is_connected_in(X0,X1)
| ~ in(X5,X1)
| X4 = X5
| in(ordered_pair(X4,X5),X0)
| in(ordered_pair(X5,X4),X0)
| ~ in(X4,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f686]) ).
fof(f1000,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK60(X0,X1),sK59(X0,X1)),X0)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f686]) ).
fof(f1001,plain,
! [X0,X1] :
( ~ in(ordered_pair(sK59(X0,X1),sK60(X0,X1)),X0)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f686]) ).
fof(f1002,plain,
! [X0,X1] :
( sK59(X0,X1) != sK60(X0,X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f686]) ).
fof(f1003,plain,
! [X0,X1] :
( in(sK60(X0,X1),X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f686]) ).
fof(f1004,plain,
! [X0,X1] :
( in(sK59(X0,X1),X1)
| is_connected_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f686]) ).
fof(f1133,plain,
relation(sK80),
inference(cnf_transformation,[],[f720]) ).
fof(f1134,plain,
! [X3,X4] :
( ~ in(X3,relation_field(sK80))
| ~ in(X4,relation_field(sK80))
| X3 = X4
| in(ordered_pair(X3,X4),sK80)
| in(ordered_pair(X4,X3),sK80)
| connected(sK80) ),
inference(cnf_transformation,[],[f720]) ).
fof(f1135,plain,
( ~ in(ordered_pair(sK82,sK81),sK80)
| ~ connected(sK80) ),
inference(cnf_transformation,[],[f720]) ).
fof(f1136,plain,
( ~ in(ordered_pair(sK81,sK82),sK80)
| ~ connected(sK80) ),
inference(cnf_transformation,[],[f720]) ).
fof(f1137,plain,
( sK81 != sK82
| ~ connected(sK80) ),
inference(cnf_transformation,[],[f720]) ).
fof(f1138,plain,
( in(sK82,relation_field(sK80))
| ~ connected(sK80) ),
inference(cnf_transformation,[],[f720]) ).
fof(f1139,plain,
( in(sK81,relation_field(sK80))
| ~ connected(sK80) ),
inference(cnf_transformation,[],[f720]) ).
fof(f1403,definition,
( spl117_3
<=> connected(sK80) ),
introduced(definition,[new_symbols(definition,[spl117_3])],[avatar_definition]) ).
fof(f1404,plain,
( ~ connected(sK80)
| spl117_3 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1405,plain,
( connected(sK80)
| ~ spl117_3 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1407,definition,
( spl117_4
<=> ! [X4,X3] :
( ~ in(X3,relation_field(sK80))
| in(ordered_pair(X4,X3),sK80)
| in(ordered_pair(X3,X4),sK80)
| X3 = X4
| ~ in(X4,relation_field(sK80)) ) ),
introduced(definition,[new_symbols(definition,[spl117_4])],[avatar_definition]) ).
fof(f1408,plain,
( ! [X3,X4] :
( in(ordered_pair(X4,X3),sK80)
| in(ordered_pair(X3,X4),sK80)
| ~ in(X3,relation_field(sK80))
| X3 = X4
| ~ in(X4,relation_field(sK80)) )
| ~ spl117_4 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1409,plain,
( spl117_3
| spl117_4 ),
inference(avatar_split_clause,[],[f1134,f1407,f1403]) ).
fof(f1411,definition,
( spl117_5
<=> in(ordered_pair(sK82,sK81),sK80) ),
introduced(definition,[new_symbols(definition,[spl117_5])],[avatar_definition]) ).
fof(f1413,plain,
( ~ in(ordered_pair(sK82,sK81),sK80)
| spl117_5 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1414,plain,
( ~ spl117_3
| ~ spl117_5 ),
inference(avatar_split_clause,[],[f1135,f1411,f1403]) ).
fof(f1416,definition,
( spl117_6
<=> in(ordered_pair(sK81,sK82),sK80) ),
introduced(definition,[new_symbols(definition,[spl117_6])],[avatar_definition]) ).
fof(f1418,plain,
( ~ in(ordered_pair(sK81,sK82),sK80)
| spl117_6 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f1419,plain,
( ~ spl117_3
| ~ spl117_6 ),
inference(avatar_split_clause,[],[f1136,f1416,f1403]) ).
fof(f1421,definition,
( spl117_7
<=> sK81 = sK82 ),
introduced(definition,[new_symbols(definition,[spl117_7])],[avatar_definition]) ).
fof(f1423,plain,
( sK81 != sK82
| spl117_7 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1424,plain,
( ~ spl117_3
| ~ spl117_7 ),
inference(avatar_split_clause,[],[f1137,f1421,f1403]) ).
fof(f1426,definition,
( spl117_8
<=> in(sK82,relation_field(sK80)) ),
introduced(definition,[new_symbols(definition,[spl117_8])],[avatar_definition]) ).
fof(f1428,plain,
( in(sK82,relation_field(sK80))
| ~ spl117_8 ),
inference(avatar_component_clause,[],[f1426]) ).
fof(f1429,plain,
( ~ spl117_3
| spl117_8 ),
inference(avatar_split_clause,[],[f1138,f1426,f1403]) ).
fof(f1431,definition,
( spl117_9
<=> in(sK81,relation_field(sK80)) ),
introduced(definition,[new_symbols(definition,[spl117_9])],[avatar_definition]) ).
fof(f1433,plain,
( in(sK81,relation_field(sK80))
| ~ spl117_9 ),
inference(avatar_component_clause,[],[f1431]) ).
fof(f1434,plain,
( ~ spl117_3
| spl117_9 ),
inference(avatar_split_clause,[],[f1139,f1431,f1403]) ).
fof(f1437,plain,
( ~ is_connected_in(sK80,relation_field(sK80))
| spl117_3 ),
inference(unit_resulting_resolution,[],[f869,f1133,f1404]) ).
fof(f1778,plain,
( in(sK60(sK80,relation_field(sK80)),relation_field(sK80))
| spl117_3 ),
inference(unit_resulting_resolution,[],[f1003,f1133,f1437]) ).
fof(f1823,plain,
( in(sK59(sK80,relation_field(sK80)),relation_field(sK80))
| spl117_3 ),
inference(unit_resulting_resolution,[],[f1004,f1133,f1437]) ).
fof(f2172,plain,
( sK60(sK80,relation_field(sK80)) != sK59(sK80,relation_field(sK80))
| spl117_3 ),
inference(unit_resulting_resolution,[],[f1002,f1133,f1437]) ).
fof(f2258,plain,
( ~ in(ordered_pair(sK60(sK80,relation_field(sK80)),sK59(sK80,relation_field(sK80))),sK80)
| spl117_3 ),
inference(unit_resulting_resolution,[],[f1000,f1133,f1437]) ).
fof(f2259,plain,
( ~ in(ordered_pair(sK59(sK80,relation_field(sK80)),sK60(sK80,relation_field(sK80))),sK80)
| spl117_3 ),
inference(unit_resulting_resolution,[],[f1001,f1133,f1437]) ).
fof(f2348,plain,
( ~ in(sK59(sK80,relation_field(sK80)),relation_field(sK80))
| spl117_3
| ~ spl117_4 ),
inference(unit_resulting_resolution,[],[f1408,f1778,f2172,f2258,f2259]) ).
fof(f2390,plain,
( $false
| spl117_3
| ~ spl117_4 ),
inference(forward_subsumption_resolution,[],[f2348,f1823]) ).
fof(f2391,plain,
( spl117_3
| ~ spl117_4 ),
inference(avatar_contradiction_clause,[],[f2390]) ).
fof(f2392,plain,
( is_connected_in(sK80,relation_field(sK80))
| ~ spl117_3 ),
inference(unit_resulting_resolution,[],[f868,f1133,f1405]) ).
fof(f2511,plain,
( ~ relation(sK80)
| ~ spl117_3
| spl117_5
| spl117_6
| spl117_7
| ~ spl117_8
| ~ spl117_9 ),
inference(unit_resulting_resolution,[],[f999,f1423,f1428,f1418,f1413,f1433,f2392]) ).
fof(f2537,plain,
( $false
| ~ spl117_3
| spl117_5
| spl117_6
| spl117_7
| ~ spl117_8
| ~ spl117_9 ),
inference(forward_subsumption_resolution,[],[f2511,f1133]) ).
fof(f2538,plain,
( ~ spl117_3
| spl117_5
| spl117_6
| spl117_7
| ~ spl117_8
| ~ spl117_9 ),
inference(avatar_contradiction_clause,[],[f2537]) ).
cnf(s2,plain,
( spl117_3
| spl117_4 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s3,plain,
( ~ spl117_3
| ~ spl117_5 ),
inference(sat_conversion,[],[f1414]) ).
cnf(s4,plain,
( ~ spl117_3
| ~ spl117_6 ),
inference(sat_conversion,[],[f1419]) ).
cnf(s5,plain,
( ~ spl117_3
| ~ spl117_7 ),
inference(sat_conversion,[],[f1424]) ).
cnf(s6,plain,
( ~ spl117_3
| spl117_8 ),
inference(sat_conversion,[],[f1429]) ).
cnf(s7,plain,
( ~ spl117_3
| spl117_9 ),
inference(sat_conversion,[],[f1434]) ).
cnf(s20,plain,
( spl117_3
| ~ spl117_4 ),
inference(sat_conversion,[],[f2391]) ).
cnf(s36,plain,
( ~ spl117_3
| spl117_5
| spl117_6
| spl117_7
| ~ spl117_8
| ~ spl117_9 ),
inference(sat_conversion,[],[f2538]) ).
cnf(s37,plain,
spl117_3,
inference(rat,[],[s2,s20]) ).
cnf(s38,plain,
spl117_9,
inference(rat,[],[s7,s37]) ).
cnf(s39,plain,
spl117_8,
inference(rat,[],[s6,s37]) ).
cnf(s40,plain,
~ spl117_7,
inference(rat,[],[s5,s37]) ).
cnf(s41,plain,
~ spl117_6,
inference(rat,[],[s4,s37]) ).
cnf(s42,plain,
~ spl117_5,
inference(rat,[],[s3,s37]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s36,s38,s39,s40,s37,s41,s42]) ).
fof(f2539,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU242+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 04:20:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 1.61/1.20 % (2253976)Detected formulas, will run a generic FOF schedule.
% 1.61/1.20 % (2253982)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=3962890017:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.61/1.20 % (2253983)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=433088407:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.61/1.20 % (2253987)dis-21_1_sil=8000:lcm=predicate:random_seed=482722597: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)
% 1.61/1.20 % (2253984)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1932915586:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.61/1.20 % (2253981)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=3168101967:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.61/1.20 % (2253986)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2789877128:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.61/1.20 % (2253985)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4206683127:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.61/1.20 % (2253984)Instruction limit reached!
% 1.61/1.20 % (2253984)------------------------------
% 1.61/1.20 % (2253984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.20 % (2253984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.20 % (2253984)CaDiCaL version: 2.1.3
% 1.61/1.20 % (2253984)Termination reason: Instruction limit
% 1.61/1.20 % (2253984)Termination phase: Saturation
% 1.61/1.20 % (2253984)Time elapsed: 0.068 s
% 1.61/1.20 % (2253984)Peak memory usage: 90 MB
% 1.61/1.20 % (2253984)Instructions burned: 111 (million)
% 1.61/1.20 % (2253985)Instruction limit reached!
% 1.61/1.20 % (2253985)------------------------------
% 1.61/1.20 % (2253985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.20 % (2253985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.20 % (2253985)CaDiCaL version: 2.1.3
% 1.61/1.20 % (2253985)Termination reason: Instruction limit
% 1.61/1.20 % (2253985)Termination phase: Saturation
% 1.61/1.20 % (2253985)Time elapsed: 0.070 s
% 1.61/1.20 % (2253985)Peak memory usage: 89 MB
% 1.61/1.20 % (2253985)Instructions burned: 120 (million)
% 1.61/1.20 % (2253987)Instruction limit reached!
% 1.61/1.20 % (2253987)------------------------------
% 1.61/1.20 % (2253987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.20 % (2253987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.20 % (2253987)CaDiCaL version: 2.1.3
% 1.61/1.20 % (2253987)Termination reason: Instruction limit
% 1.61/1.20 % (2253987)Termination phase: Saturation
% 1.61/1.20 % (2253987)Time elapsed: 0.071 s
% 1.61/1.20 % (2253987)Peak memory usage: 90 MB
% 1.61/1.20 % (2253987)Instructions burned: 129 (million)
% 1.61/1.20 % (2253986)Instruction limit reached!
% 1.61/1.20 % (2253986)------------------------------
% 1.61/1.20 % (2253986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.20 % (2253986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.20 % (2253986)CaDiCaL version: 2.1.3
% 1.61/1.20 % (2253986)Termination reason: Instruction limit
% 1.61/1.20 % (2253986)Termination phase: Saturation
% 1.61/1.20 % (2253986)Time elapsed: 0.090 s
% 1.61/1.20 % (2253986)Peak memory usage: 90 MB
% 1.61/1.20 % (2253986)Instructions burned: 139 (million)
% 1.61/1.20 % (2253996)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3488770768:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.61/1.20 % (2253995)lrs+10_1_sil=8000:sp=occurrence:random_seed=127620893:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.61/1.20 % (2253997)lrs+1011_1_sil=32000:sp=occurrence:random_seed=301628969:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.61/1.20 % (2253996)Refutation not found, incomplete strategy
% 1.61/1.20 % (2253996)------------------------------
% 1.61/1.20 % (2253996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.20 % (2253996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.20 % (2253996)CaDiCaL version: 2.1.3
% 1.61/1.20 % (2253996)Termination reason: Refutation not found, incomplete strategy
% 1.61/1.20 % (2253996)Time elapsed: 0.005 s
% 1.61/1.20 % (2253996)Peak memory usage: 89 MB
% 1.61/1.20 % (2253996)Instructions burned: 6 (million)
% 1.61/1.20 % (2253998)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=3823189462:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 1.61/1.20 % (2253998)First to succeed.
% 1.61/1.20 % (2253998)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2253976"
% 1.61/1.20 % (2253995)Instruction limit reached!
% 1.61/1.20 % (2253995)------------------------------
% 1.61/1.20 % (2253995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.61/1.20 % (2253995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.61/1.20 % (2253995)CaDiCaL version: 2.1.3
% 1.61/1.20 % (2253995)Termination reason: Instruction limit
% 1.61/1.20 % (2253995)Termination phase: Saturation
% 1.61/1.20 % (2253995)Time elapsed: 0.193 s
% 1.61/1.20 % (2253995)Peak memory usage: 93 MB
% 1.61/1.20 % (2253995)Instructions burned: 286 (million)
% 1.61/1.20 % (2253998)Refutation found. Thanks to Tanya!
% 1.61/1.20 % SZS status Theorem for theBenchmark
% 1.61/1.20 % SZS output start Proof for theBenchmark
% See solution above
% 4.45/1.31 % (2253998)------------------------------
% 4.45/1.31 % (2253998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.45/1.31 % (2253998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.45/1.31 % (2253998)CaDiCaL version: 2.1.3
% 4.45/1.31 % (2253998)Termination reason: Refutation
% 4.45/1.31 % (2253998)Time elapsed: 0.024 s
% 4.45/1.31 % (2253998)Peak memory usage: 91 MB
% 4.45/1.31 % (2253998)Instructions burned: 65 (million)
% 4.45/1.31 % (2253998)------------------------------
% 4.45/1.31 % (2253998)------------------------------
% 4.45/1.31 % (2253976)Success in time 0.583 s
% 4.45/1.31 % Vampire exiting
%------------------------------------------------------------------------------