%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX027+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 : n005.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 3.54s 1.81s
% Output : Refutation 8.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 14 unt; 6 def)
% Number of atoms : 229 ( 57 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 244 ( 89 ~; 106 |; 33 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 159 ( 0 sgn 130 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36,axiom,
! [X0,X1,X2] :
( delete_succeeds(X0,X1,X2)
<=> ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5) )
| X1 = cons(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',id36) ).
fof(f181,axiom,
! [X0] : '**'(nil,X0) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p','corollary-(app:cons)') ).
fof(f237,axiom,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] : delete_succeeds(X3,'**'(X2,cons(X3,X4)),'**'(X2,X4)) )
| X0 = nil )
=> ! [X3,X4] : delete_succeeds(X3,'**'(X0,cons(X3,X4)),'**'(X0,X4)) )
=> ! [X0] :
( list_succeeds(X0)
=> ! [X3,X4] : delete_succeeds(X3,'**'(X0,cons(X3,X4)),'**'(X0,X4)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',induction) ).
fof(f238,conjecture,
! [X0,X1,X2] :
( list_succeeds(X1)
=> delete_succeeds(X0,'**'(X1,cons(X0,X2)),'**'(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','theorem-(delete:app:1)') ).
fof(f239,negated_conjecture,
~ ! [X0,X1,X2] :
( list_succeeds(X1)
=> delete_succeeds(X0,'**'(X1,cons(X0,X2)),'**'(X1,X2)) ),
inference(negated_conjecture,[status(cth)],[f238]) ).
fof(f260,plain,
( ! [X0] :
( ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] : delete_succeeds(X3,'**'(X2,cons(X3,X4)),'**'(X2,X4)) )
| X0 = nil )
=> ! [X5,X6] : delete_succeeds(X5,'**'(X0,cons(X5,X6)),'**'(X0,X6)) )
=> ! [X7] :
( list_succeeds(X7)
=> ! [X8,X9] : delete_succeeds(X8,'**'(X7,cons(X8,X9)),'**'(X7,X9)) ) ),
inference(rectify,[],[f237]) ).
fof(f467,plain,
! [X0,X1,X2] :
( '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2))
| ~ list_succeeds(X1) ),
inference(ennf_transformation,[],[f182]) ).
fof(f550,plain,
( ! [X7] :
( ! [X8,X9] : delete_succeeds(X8,'**'(X7,cons(X8,X9)),'**'(X7,X9))
| ~ list_succeeds(X7) )
| ? [X0] :
( ? [X5,X6] : ~ delete_succeeds(X5,'**'(X0,cons(X5,X6)),'**'(X0,X6))
& ( ? [X1,X2] :
( X0 = cons(X1,X2)
& list_succeeds(X2)
& ! [X3,X4] : delete_succeeds(X3,'**'(X2,cons(X3,X4)),'**'(X2,X4)) )
| X0 = nil ) ) ),
inference(ennf_transformation,[],[f260]) ).
fof(f551,plain,
? [X0,X1,X2] :
( ~ delete_succeeds(X0,'**'(X1,cons(X0,X2)),'**'(X1,X2))
& list_succeeds(X1) ),
inference(ennf_transformation,[],[f239]) ).
fof(f555,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f556,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ? [X3,X4,X5] :
( X1 = cons(X3,X4)
& X2 = cons(X3,X5)
& delete_succeeds(X0,X4,X5) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(flattening,[],[f555]) ).
fof(f557,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ? [X6,X7,X8] :
( cons(X6,X7) = X1
& cons(X6,X8) = X2
& delete_succeeds(X0,X7,X8) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(rectify,[],[f556]) ).
fof(f558,plain,
! [X0,X1,X2] :
( ( delete_succeeds(X0,X1,X2)
| ( ! [X3,X4,X5] :
( cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) )
& cons(X0,X2) != X1 ) )
& ( ( cons(sK0(X0,X1,X2),sK1(X0,X1,X2)) = X1
& cons(sK0(X0,X1,X2),sK2(X0,X1,X2)) = X2
& delete_succeeds(X0,sK1(X0,X1,X2),sK2(X0,X1,X2)) )
| X1 = cons(X0,X2)
| ~ delete_succeeds(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X6,sK0(X0,X1,X2)),skolemize(X7,sK1(X0,X1,X2)),skolemize(X8,sK2(X0,X1,X2))],[f557]) ).
fof(f693,plain,
( ! [X0] :
( ! [X1,X2] : delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2))
| ~ list_succeeds(X0) )
| ? [X3] :
( ? [X4,X5] : ~ delete_succeeds(X4,'**'(X3,cons(X4,X5)),'**'(X3,X5))
& ( ? [X6,X7] :
( cons(X6,X7) = X3
& list_succeeds(X7)
& ! [X8,X9] : delete_succeeds(X8,'**'(X7,cons(X8,X9)),'**'(X7,X9)) )
| nil = X3 ) ) ),
inference(rectify,[],[f550]) ).
fof(f694,plain,
( ! [X0] :
( ! [X1,X2] : delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2))
| ~ list_succeeds(X0) )
| ( ~ delete_succeeds(sK91,'**'(sK90,cons(sK91,sK92)),'**'(sK90,sK92))
& ( ( sK90 = cons(sK93,sK94)
& list_succeeds(sK94)
& ! [X8,X9] : delete_succeeds(X8,'**'(sK94,cons(X8,X9)),'**'(sK94,X9)) )
| nil = sK90 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90,sK91,sK92,sK93,sK94]),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92),skolemize(X6,sK93),skolemize(X7,sK94)],[f693]) ).
fof(f695,plain,
( ~ delete_succeeds(sK95,'**'(sK96,cons(sK95,sK97)),'**'(sK96,sK97))
& list_succeeds(sK96) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95,sK96,sK97]),skolemize(X0,sK95),skolemize(X1,sK96),skolemize(X2,sK97)],[f551]) ).
fof(f737,plain,
! [X2,X0,X1] :
( delete_succeeds(X0,X1,X2)
| cons(X0,X2) != X1 ),
inference(cnf_transformation,[],[f558]) ).
fof(f738,plain,
! [X2,X3,X0,X1,X4,X5] :
( delete_succeeds(X0,X1,X2)
| cons(X3,X4) != X1
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) ),
inference(cnf_transformation,[],[f558]) ).
fof(f1029,plain,
! [X0] : '**'(nil,X0) = X0,
inference(cnf_transformation,[],[f181]) ).
fof(f1030,plain,
! [X2,X0,X1] :
( ~ list_succeeds(X1)
| '**'(cons(X0,X1),X2) = cons(X0,'**'(X1,X2)) ),
inference(cnf_transformation,[],[f467]) ).
fof(f1087,plain,
! [X2,X0,X1,X8,X9] :
( delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2))
| ~ list_succeeds(X0)
| delete_succeeds(X8,'**'(sK94,cons(X8,X9)),'**'(sK94,X9))
| nil = sK90 ),
inference(cnf_transformation,[],[f694]) ).
fof(f1088,plain,
! [X2,X0,X1] :
( delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2))
| ~ list_succeeds(X0)
| list_succeeds(sK94)
| nil = sK90 ),
inference(cnf_transformation,[],[f694]) ).
fof(f1089,plain,
! [X2,X0,X1] :
( delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2))
| ~ list_succeeds(X0)
| sK90 = cons(sK93,sK94)
| nil = sK90 ),
inference(cnf_transformation,[],[f694]) ).
fof(f1090,plain,
! [X2,X0,X1] :
( delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2))
| ~ list_succeeds(X0)
| ~ delete_succeeds(sK91,'**'(sK90,cons(sK91,sK92)),'**'(sK90,sK92)) ),
inference(cnf_transformation,[],[f694]) ).
fof(f1091,plain,
list_succeeds(sK96),
inference(cnf_transformation,[],[f695]) ).
fof(f1092,plain,
~ delete_succeeds(sK95,'**'(sK96,cons(sK95,sK97)),'**'(sK96,sK97)),
inference(cnf_transformation,[],[f695]) ).
fof(f1093,plain,
! [X2,X3,X0,X4,X5] :
( delete_succeeds(X0,cons(X3,X4),X2)
| cons(X3,X5) != X2
| ~ delete_succeeds(X0,X4,X5) ),
inference(equality_resolution,[],[f738]) ).
fof(f1094,plain,
! [X3,X0,X4,X5] :
( delete_succeeds(X0,cons(X3,X4),cons(X3,X5))
| ~ delete_succeeds(X0,X4,X5) ),
inference(equality_resolution,[],[f1093]) ).
fof(f1095,plain,
! [X2,X0] : delete_succeeds(X0,cons(X0,X2),X2),
inference(equality_resolution,[],[f737]) ).
fof(f1182,definition,
( spl98_1
<=> nil = sK90 ),
introduced(definition,[new_symbols(definition,[spl98_1])],[avatar_definition]) ).
fof(f1183,plain,
( nil = sK90
| ~ spl98_1 ),
inference(avatar_component_clause,[],[f1182]) ).
fof(f1185,definition,
( spl98_2
<=> ! [X9,X8] : delete_succeeds(X8,'**'(sK94,cons(X8,X9)),'**'(sK94,X9)) ),
introduced(definition,[new_symbols(definition,[spl98_2])],[avatar_definition]) ).
fof(f1186,plain,
( ! [X8,X9] : delete_succeeds(X8,'**'(sK94,cons(X8,X9)),'**'(sK94,X9))
| ~ spl98_2 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1188,definition,
( spl98_3
<=> ! [X2,X0,X1] :
( delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2))
| ~ list_succeeds(X0) ) ),
introduced(definition,[new_symbols(definition,[spl98_3])],[avatar_definition]) ).
fof(f1189,plain,
( ! [X2,X0,X1] :
( ~ list_succeeds(X0)
| delete_succeeds(X1,'**'(X0,cons(X1,X2)),'**'(X0,X2)) )
| ~ spl98_3 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1190,plain,
( spl98_1
| spl98_2
| spl98_3 ),
inference(avatar_split_clause,[],[f1087,f1188,f1185,f1182]) ).
fof(f1192,definition,
( spl98_4
<=> list_succeeds(sK94) ),
introduced(definition,[new_symbols(definition,[spl98_4])],[avatar_definition]) ).
fof(f1193,plain,
( list_succeeds(sK94)
| ~ spl98_4 ),
inference(avatar_component_clause,[],[f1192]) ).
fof(f1194,plain,
( spl98_1
| spl98_4
| spl98_3 ),
inference(avatar_split_clause,[],[f1088,f1188,f1192,f1182]) ).
fof(f1196,definition,
( spl98_5
<=> sK90 = cons(sK93,sK94) ),
introduced(definition,[new_symbols(definition,[spl98_5])],[avatar_definition]) ).
fof(f1197,plain,
( sK90 = cons(sK93,sK94)
| ~ spl98_5 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1198,plain,
( spl98_1
| spl98_5
| spl98_3 ),
inference(avatar_split_clause,[],[f1089,f1188,f1196,f1182]) ).
fof(f1200,definition,
( spl98_6
<=> delete_succeeds(sK91,'**'(sK90,cons(sK91,sK92)),'**'(sK90,sK92)) ),
introduced(definition,[new_symbols(definition,[spl98_6])],[avatar_definition]) ).
fof(f1201,plain,
( ~ delete_succeeds(sK91,'**'(sK90,cons(sK91,sK92)),'**'(sK90,sK92))
| spl98_6 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1202,plain,
( ~ spl98_6
| spl98_3 ),
inference(avatar_split_clause,[],[f1090,f1188,f1200]) ).
fof(f1205,plain,
( $false
| ~ spl98_3 ),
inference(unit_resulting_resolution,[],[f1189,f1092,f1091]) ).
fof(f1207,plain,
~ spl98_3,
inference(avatar_contradiction_clause,[],[f1205]) ).
fof(f1210,plain,
( ! [X0] : '**'(sK90,X0) = X0
| ~ spl98_1 ),
inference(superposition,[],[f1029,f1183]) ).
fof(f1211,plain,
( ~ delete_succeeds(sK91,cons(sK91,sK92),'**'(sK90,sK92))
| ~ spl98_1
| spl98_6 ),
inference(superposition,[],[f1201,f1210]) ).
fof(f1214,plain,
( ~ delete_succeeds(sK91,cons(sK91,sK92),sK92)
| ~ spl98_1
| spl98_6 ),
inference(forward_demodulation,[],[f1211,f1210]) ).
fof(f1217,plain,
( $false
| ~ spl98_1
| spl98_6 ),
inference(forward_subsumption_resolution,[],[f1214,f1095]) ).
fof(f1218,plain,
( ~ spl98_1
| spl98_6 ),
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1223,plain,
( ! [X0,X1] : '**'(cons(X0,sK94),X1) = cons(X0,'**'(sK94,X1))
| ~ spl98_4 ),
inference(resolution,[],[f1193,f1030]) ).
fof(f1224,plain,
( ! [X0] : '**'(sK90,X0) = cons(sK93,'**'(sK94,X0))
| ~ spl98_4
| ~ spl98_5 ),
inference(superposition,[],[f1223,f1197]) ).
fof(f1226,plain,
( ! [X2,X0,X1] :
( ~ delete_succeeds(X1,X2,'**'(sK94,X0))
| delete_succeeds(X1,cons(sK93,X2),'**'(sK90,X0)) )
| ~ spl98_4
| ~ spl98_5 ),
inference(superposition,[],[f1094,f1224]) ).
fof(f1228,plain,
( ! [X0,X1] : delete_succeeds(X0,cons(sK93,'**'(sK94,cons(X0,X1))),'**'(sK90,X1))
| ~ spl98_2
| ~ spl98_4
| ~ spl98_5 ),
inference(resolution,[],[f1226,f1186]) ).
fof(f1229,plain,
( ! [X0,X1] : delete_succeeds(X0,'**'(sK90,cons(X0,X1)),'**'(sK90,X1))
| ~ spl98_2
| ~ spl98_4
| ~ spl98_5 ),
inference(forward_demodulation,[],[f1228,f1224]) ).
fof(f1230,plain,
( $false
| ~ spl98_2
| ~ spl98_4
| ~ spl98_5
| spl98_6 ),
inference(unit_resulting_resolution,[],[f1229,f1201]) ).
fof(f1235,plain,
( ~ spl98_2
| ~ spl98_4
| ~ spl98_5
| spl98_6 ),
inference(avatar_contradiction_clause,[],[f1230]) ).
cnf(s1,plain,
( spl98_1
| spl98_2
| spl98_3 ),
inference(sat_conversion,[],[f1190]) ).
cnf(s2,plain,
( spl98_1
| spl98_3
| spl98_4 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s3,plain,
( spl98_1
| spl98_3
| spl98_5 ),
inference(sat_conversion,[],[f1198]) ).
cnf(s4,plain,
( spl98_3
| ~ spl98_6 ),
inference(sat_conversion,[],[f1202]) ).
cnf(s5,plain,
~ spl98_3,
inference(sat_conversion,[],[f1207]) ).
cnf(s7,plain,
( ~ spl98_1
| spl98_6 ),
inference(sat_conversion,[],[f1218]) ).
cnf(s9,plain,
( ~ spl98_2
| ~ spl98_4
| ~ spl98_5
| spl98_6 ),
inference(sat_conversion,[],[f1235]) ).
cnf(s10,plain,
~ spl98_6,
inference(rat,[],[s4,s5]) ).
cnf(s11,plain,
~ spl98_1,
inference(rat,[],[s7,s10]) ).
cnf(s12,plain,
spl98_5,
inference(rat,[],[s3,s5,s11]) ).
cnf(s13,plain,
spl98_4,
inference(rat,[],[s2,s5,s11]) ).
cnf(s14,plain,
~ spl98_2,
inference(rat,[],[s9,s10,s12,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s5,s14,s11]) ).
fof(f1236,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX027+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 % Computer : n005.cluster.edu
% 0.11/0.21 % Model : x86_64 x86_64
% 0.11/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.21 % Memory : 8046.5625MB
% 0.11/0.21 % OS : Linux 6.8.0-71-generic
% 0.11/0.21 % CPULimit : 300
% 0.11/0.21 % WCLimit : 300
% 0.11/0.21 % DateTime : Mon Sep 28 14:51:46 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 Running first-order theorem proving
% 0.11/0.24 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
% 3.54/1.81 % (840393)Detected formulas, will run a generic FOF schedule.
% 3.54/1.81 % (840402)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3135383940:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.54/1.81 % (840398)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=2296730284:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.54/1.81 % (840400)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=392123480:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.54/1.81 % (840401)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=582417100:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.54/1.81 % (840399)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=3101017158:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.54/1.81 % (840402)Instruction limit reached!
% 3.54/1.81 % (840402)------------------------------
% 3.54/1.81 % (840402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840402)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840402)Termination reason: Instruction limit
% 3.54/1.81 % (840402)Termination phase: Saturation
% 3.54/1.81 % (840402)Time elapsed: 0.041 s
% 3.54/1.81 % (840402)Peak memory usage: 89 MB
% 3.54/1.81 % (840402)Instructions burned: 121 (million)
% 3.54/1.81 % (840404)dis-21_1_sil=8000:lcm=predicate:random_seed=2170426154: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)
% 3.54/1.81 % (840403)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3179678862:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.54/1.81 % (840401)Instruction limit reached!
% 3.54/1.81 % (840401)------------------------------
% 3.54/1.81 % (840401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840401)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840401)Termination reason: Instruction limit
% 3.54/1.81 % (840401)Termination phase: Saturation
% 3.54/1.81 % (840401)Time elapsed: 0.073 s
% 3.54/1.81 % (840401)Peak memory usage: 89 MB
% 3.54/1.81 % (840401)Instructions burned: 111 (million)
% 3.54/1.81 % (840404)Instruction limit reached!
% 3.54/1.81 % (840404)------------------------------
% 3.54/1.81 % (840404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840404)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840404)Termination reason: Instruction limit
% 3.54/1.81 % (840404)Termination phase: Saturation
% 3.54/1.81 % (840404)Time elapsed: 0.080 s
% 3.54/1.81 % (840404)Peak memory usage: 89 MB
% 3.54/1.81 % (840404)Instructions burned: 130 (million)
% 3.54/1.81 % (840410)lrs+10_1_sil=8000:sp=occurrence:random_seed=1519347094:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.54/1.81 % (840403)Instruction limit reached!
% 3.54/1.81 % (840403)------------------------------
% 3.54/1.81 % (840403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840403)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840403)Termination reason: Instruction limit
% 3.54/1.81 % (840403)Termination phase: Saturation
% 3.54/1.81 % (840403)Time elapsed: 0.102 s
% 3.54/1.81 % (840403)Peak memory usage: 91 MB
% 3.54/1.81 % (840403)Instructions burned: 140 (million)
% 3.54/1.81 % (840413)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3630138558:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.54/1.81 % (840410)Instruction limit reached!
% 3.54/1.81 % (840410)------------------------------
% 3.54/1.81 % (840410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840410)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840410)Termination reason: Instruction limit
% 3.54/1.81 % (840410)Termination phase: Saturation
% 3.54/1.81 % (840410)Time elapsed: 0.106 s
% 3.54/1.81 % (840410)Peak memory usage: 92 MB
% 3.54/1.81 % (840410)Instructions burned: 286 (million)
% 3.54/1.81 % (840414)lrs+1011_1_sil=32000:sp=occurrence:random_seed=540307113:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.54/1.81 % (840416)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=3534413680:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.54/1.81 % (840413)Instruction limit reached!
% 3.54/1.81 % (840413)------------------------------
% 3.54/1.81 % (840413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840413)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840413)Termination reason: Instruction limit
% 3.54/1.81 % (840413)Termination phase: Saturation
% 3.54/1.81 % (840413)Time elapsed: 0.087 s
% 3.54/1.81 % (840413)Peak memory usage: 91 MB
% 3.54/1.81 % (840413)Instructions burned: 158 (million)
% 3.54/1.81 % (840418)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2702039613:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.54/1.81 % (840416)Instruction limit reached!
% 3.54/1.81 % (840416)------------------------------
% 3.54/1.81 % (840416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840416)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840416)Termination reason: Instruction limit
% 3.54/1.81 % (840416)Termination phase: Saturation
% 3.54/1.81 % (840416)Time elapsed: 0.143 s
% 3.54/1.81 % (840416)Peak memory usage: 92 MB
% 3.54/1.81 % (840416)Instructions burned: 249 (million)
% 3.54/1.81 % (840418)Instruction limit reached!
% 3.54/1.81 % (840418)------------------------------
% 3.54/1.81 % (840418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840418)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840418)Termination reason: Instruction limit
% 3.54/1.81 % (840418)Termination phase: Saturation
% 3.54/1.81 % (840418)Time elapsed: 0.099 s
% 3.54/1.81 % (840418)Peak memory usage: 90 MB
% 3.54/1.81 % (840418)Instructions burned: 297 (million)
% 3.54/1.81 % (840414)Instruction limit reached!
% 3.54/1.81 % (840414)------------------------------
% 3.54/1.81 % (840414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840414)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840414)Termination reason: Instruction limit
% 3.54/1.81 % (840414)Termination phase: Saturation
% 3.54/1.81 % (840414)Time elapsed: 0.210 s
% 3.54/1.81 % (840414)Peak memory usage: 92 MB
% 3.54/1.81 % (840414)Instructions burned: 325 (million)
% 3.54/1.81 % (840421)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3502846039:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.54/1.81 % (840425)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3909556454:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 3.54/1.81 % (840424)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2403934844:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 3.54/1.81 % (840425)Instruction limit reached!
% 3.54/1.81 % (840425)------------------------------
% 3.54/1.81 % (840425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840425)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840425)Termination reason: Instruction limit
% 3.54/1.81 % (840425)Termination phase: Saturation
% 3.54/1.81 % (840425)Time elapsed: 0.036 s
% 3.54/1.81 % (840425)Peak memory usage: 89 MB
% 3.54/1.81 % (840425)Instructions burned: 129 (million)
% 3.54/1.81 % (840426)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=825237879:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 3.54/1.81 % (840424)Instruction limit reached!
% 3.54/1.81 % (840424)------------------------------
% 3.54/1.81 % (840424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840424)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840424)Termination reason: Instruction limit
% 3.54/1.81 % (840424)Termination phase: Saturation
% 3.54/1.81 % (840424)Time elapsed: 0.074 s
% 3.54/1.81 % (840424)Peak memory usage: 90 MB
% 3.54/1.81 % (840424)Instructions burned: 113 (million)
% 3.54/1.81 % (840399)First to succeed.
% 3.54/1.81 % (840398)Also succeeded, but the first one will report.
% 3.54/1.81 % (840399)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-840393"
% 3.54/1.81 % (840426)Instruction limit reached!
% 3.54/1.81 % (840426)------------------------------
% 3.54/1.81 % (840426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.81 % (840426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.81 % (840426)CaDiCaL version: 2.1.3
% 3.54/1.81 % (840426)Termination reason: Instruction limit
% 3.54/1.81 % (840426)Termination phase: Saturation
% 3.54/1.81 % (840426)Time elapsed: 0.069 s
% 3.54/1.81 % (840426)Peak memory usage: 89 MB
% 3.54/1.81 % (840426)Instructions burned: 114 (million)
% 3.54/1.81 % (840430)lrs+10_1_sil=8000:sp=occurrence:random_seed=1911135598:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 3.54/1.81 % (840432)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3481946232:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 3.54/1.81 % (840433)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3909864344:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 3.54/1.81 % (840399)Refutation found. Thanks to Tanya!
% 3.54/1.81 % SZS status Theorem for theBenchmark
% 3.54/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 8.53/2.00 % (840399)------------------------------
% 8.53/2.00 % (840399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.53/2.00 % (840399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.53/2.00 % (840399)CaDiCaL version: 2.1.3
% 8.53/2.00 % (840399)Termination reason: Refutation
% 8.53/2.00 % (840399)Time elapsed: 0.691 s
% 8.53/2.00 % (840399)Peak memory usage: 134 MB
% 8.53/2.00 % (840399)Instructions burned: 1050 (million)
% 8.53/2.00 % (840399)------------------------------
% 8.53/2.00 % (840399)------------------------------
% 8.53/2.00 % (840393)Success in time 1.125 s
% 8.53/2.00 % Vampire exiting
%------------------------------------------------------------------------------