%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR083+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 09:42:46 AM UTC 2026
% Result : ContradictoryAxioms 30.16s 5.29s
% Output : Refutation 30.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 61 ( 7 unt; 3 def)
% Number of atoms : 229 ( 36 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 265 ( 97 ~; 114 |; 43 &)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 159 ( 0 sgn 152 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f501,axiom,
! [X0] : s__instance(X0,s__Entity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_502) ).
fof(f3484,axiom,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X2,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) )
=> ( ( s__instance(X3,X2)
& s__instance(X4,X0)
& s__instance(X5,X1) )
=> ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3496) ).
fof(f3520,axiom,
! [X0] :
( s__instance(X0,s__SetOrClass)
=> ( s__instance(X0,s__NullSet)
=> ~ ? [X1] : s__instance(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_3533) ).
fof(f11175,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
inference(ennf_transformation,[],[f3484]) ).
fof(f11176,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
inference(flattening,[],[f11175]) ).
fof(f11177,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f3520]) ).
fof(f11178,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f11177]) ).
fof(f12428,definition,
! [X1,X2,X0] :
( sP10(X1,X2,X0)
<=> ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) ) ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f12429,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> sP10(X1,X2,X0) ),
inference(definition_folding,[],[f11176,f12428]) ).
fof(f12649,plain,
! [X1,X2,X0] :
( ( sP10(X1,X2,X0)
| ? [X3,X4,X5] :
( ( ~ s__instance(X3,X1)
| ~ s__instance(X4,X1)
| ( ~ s__instance(X5,X2)
& ~ s__instance(X5,X0) ) )
& s__instance(X3,X2)
& s__instance(X4,X0)
& s__instance(X5,X1)
& s__instance(X2,s__SetOrClass)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass) ) )
& ( ! [X3,X4,X5] :
( ( s__instance(X3,X1)
& s__instance(X4,X1)
& ( s__instance(X5,X2)
| s__instance(X5,X0) ) )
| ~ s__instance(X3,X2)
| ~ s__instance(X4,X0)
| ~ s__instance(X5,X1)
| ~ s__instance(X2,s__SetOrClass)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass) )
| ~ sP10(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f12428]) ).
fof(f12650,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ? [X3,X4,X5] :
( ( ~ s__instance(X3,X0)
| ~ s__instance(X4,X0)
| ( ~ s__instance(X5,X1)
& ~ s__instance(X5,X2) ) )
& s__instance(X3,X1)
& s__instance(X4,X2)
& s__instance(X5,X0)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( ( s__instance(X6,X0)
& s__instance(X7,X0)
& ( s__instance(X8,X1)
| s__instance(X8,X2) ) )
| ~ s__instance(X6,X1)
| ~ s__instance(X7,X2)
| ~ s__instance(X8,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| ~ sP10(X0,X1,X2) ) ),
inference(rectify,[],[f12649]) ).
fof(f12651,plain,
! [X0,X1,X2] :
( ( sP10(X0,X1,X2)
| ( ( ~ s__instance(sK155(X0,X1,X2),X0)
| ~ s__instance(sK156(X0,X1,X2),X0)
| ( ~ s__instance(sK157(X0,X1,X2),X1)
& ~ s__instance(sK157(X0,X1,X2),X2) ) )
& s__instance(sK155(X0,X1,X2),X1)
& s__instance(sK156(X0,X1,X2),X2)
& s__instance(sK157(X0,X1,X2),X0)
& s__instance(X1,s__SetOrClass)
& s__instance(X0,s__SetOrClass)
& s__instance(X2,s__SetOrClass) ) )
& ( ! [X6,X7,X8] :
( ( s__instance(X6,X0)
& s__instance(X7,X0)
& ( s__instance(X8,X1)
| s__instance(X8,X2) ) )
| ~ s__instance(X6,X1)
| ~ s__instance(X7,X2)
| ~ s__instance(X8,X0)
| ~ s__instance(X1,s__SetOrClass)
| ~ s__instance(X0,s__SetOrClass)
| ~ s__instance(X2,s__SetOrClass) )
| ~ sP10(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK155,sK156,sK157]),skolemize(X3,sK155(X0,X1,X2)),skolemize(X4,sK156(X0,X1,X2)),skolemize(X5,sK157(X0,X1,X2))],[f12650]) ).
fof(f12652,plain,
! [X0,X1,X2] :
( ( X1 = s__UnionFn(X2,X0)
| ~ sP10(X1,X2,X0) )
& ( sP10(X1,X2,X0)
| s__UnionFn(X2,X0) != X1 ) ),
inference(nnf_transformation,[],[f12429]) ).
fof(f14815,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f501]) ).
fof(f18040,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X2,s__SetOrClass) ),
inference(cnf_transformation,[],[f12651]) ).
fof(f18041,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f12651]) ).
fof(f18042,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f12651]) ).
fof(f18043,plain,
! [X2,X0,X1] :
( s__instance(sK157(X0,X1,X2),X0)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12651]) ).
fof(f18044,plain,
! [X2,X0,X1] :
( s__instance(sK156(X0,X1,X2),X2)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12651]) ).
fof(f18045,plain,
! [X2,X0,X1] :
( s__instance(sK155(X0,X1,X2),X1)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12651]) ).
fof(f18049,plain,
! [X2,X0,X1] :
( ~ sP10(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f12652]) ).
fof(f18085,plain,
! [X0,X1] :
( ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f11178]) ).
fof(f23262,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X0,X2) ),
inference(resolution,[],[f18085,f18045]) ).
fof(f23273,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23262,f18042]) ).
fof(f23276,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X2,s__NullSet)
| ~ s__instance(X2,s__SetOrClass) ),
inference(resolution,[],[f18044,f18085]) ).
fof(f23278,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X2,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23276,f18040]) ).
fof(f23279,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X0) = X2 ),
inference(resolution,[],[f23278,f18049]) ).
fof(f23282,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(resolution,[],[f18043,f18085]) ).
fof(f23283,plain,
! [X2,X3,X0,X1] :
( sP10(s__NullSet,X0,X1)
| s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
inference(resolution,[],[f18043,f23279]) ).
fof(f23285,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23282,f18041]) ).
fof(f23286,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X2) = X0 ),
inference(resolution,[],[f23285,f18049]) ).
fof(f23287,plain,
! [X2,X3,X0,X1] :
( sP10(X2,s__NullSet,X3)
| s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3) ),
inference(resolution,[],[f23286,f18045]) ).
fof(f23290,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,sK157(s__NullSet,X1,X2)) = X3
| s__NullSet = s__UnionFn(X1,X2) ),
inference(resolution,[],[f23283,f18049]) ).
fof(f23292,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3)
| s__NullSet = s__UnionFn(X2,X3) ),
inference(superposition,[],[f23290,f23290]) ).
fof(f23297,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3) ),
inference(duplicate_literal_removal,[],[f23292]) ).
fof(f23299,definition,
( spl504_71
<=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl504_71])],[avatar_definition]) ).
fof(f23300,plain,
( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
| ~ spl504_71 ),
inference(avatar_component_clause,[],[f23299]) ).
fof(f23302,definition,
( spl504_72
<=> ! [X4,X0] : X0 = X4 ),
introduced(definition,[new_symbols(definition,[spl504_72])],[avatar_definition]) ).
fof(f23303,plain,
( ! [X0,X4] : X0 = X4
| ~ spl504_72 ),
inference(avatar_component_clause,[],[f23302]) ).
fof(f23304,plain,
( spl504_71
| spl504_72 ),
inference(avatar_split_clause,[],[f23297,f23302,f23299]) ).
fof(f23312,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(resolution,[],[f23287,f18049]) ).
fof(f23313,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 )
| ~ spl504_71 ),
inference(forward_demodulation,[],[f23312,f23300]) ).
fof(f23314,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__NullSet = X2 )
| ~ spl504_71 ),
inference(forward_demodulation,[],[f23313,f23300]) ).
fof(f23316,plain,
( ! [X0,X1] :
( s__instance(s__NullSet,s__NullSet)
| sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_71 ),
inference(superposition,[],[f18045,f23314]) ).
fof(f23317,plain,
( ! [X0,X1] :
( sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_71 ),
inference(forward_subsumption_resolution,[],[f23316,f23273]) ).
fof(f23318,plain,
( ! [X0,X1] :
( s__NullSet = X0
| s__UnionFn(s__NullSet,X1) = X0 )
| ~ spl504_71 ),
inference(resolution,[],[f23317,f18049]) ).
fof(f23319,plain,
( ! [X0] :
( s__NullSet = X0
| s__NullSet = X0 )
| ~ spl504_71 ),
inference(forward_demodulation,[],[f23318,f23300]) ).
fof(f23320,plain,
( ! [X0] : s__NullSet = X0
| ~ spl504_71 ),
inference(duplicate_literal_removal,[],[f23319]) ).
fof(f23321,plain,
( ! [X0,X1] : X0 = X1
| ~ spl504_71 ),
inference(superposition,[],[f23320,f23320]) ).
fof(f23341,plain,
( spl504_72
| ~ spl504_71 ),
inference(avatar_split_clause,[],[f23321,f23299,f23302]) ).
fof(f23359,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl504_72 ),
inference(superposition,[],[f14815,f23303]) ).
fof(f23376,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl504_72 ),
inference(resolution,[],[f23359,f18085]) ).
fof(f23380,plain,
( ! [X0] : ~ s__instance(X0,s__NullSet)
| ~ spl504_72 ),
inference(forward_subsumption_resolution,[],[f23376,f23359]) ).
fof(f23381,plain,
( $false
| ~ spl504_72 ),
inference(forward_subsumption_resolution,[],[f23380,f23359]) ).
fof(f23382,plain,
~ spl504_72,
inference(avatar_contradiction_clause,[],[f23381]) ).
cnf(s42,plain,
( spl504_71
| spl504_72 ),
inference(sat_conversion,[],[f23304]) ).
cnf(s44,plain,
( ~ spl504_71
| spl504_72 ),
inference(sat_conversion,[],[f23341]) ).
cnf(s45,plain,
~ spl504_72,
inference(sat_conversion,[],[f23382]) ).
cnf(s46,plain,
~ spl504_71,
inference(rat,[],[s44,s45]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s42,s45,s46]) ).
fof(f23383,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR083+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 % Computer : n007.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 22:30:55 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.29 Running first-order theorem proving
% 0.27/0.29 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
% 18.22/3.67 % (2929771)Detected formulas, will run a generic FOF schedule.
% 18.22/3.67 % (2929782)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2189535774:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 18.22/3.67 % (2929783)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3699547063:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 18.22/3.67 % (2929782)Instruction limit reached!
% 18.22/3.67 % (2929782)------------------------------
% 18.22/3.67 % (2929782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.67 % (2929782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.67 % (2929782)CaDiCaL version: 2.1.3
% 18.22/3.67 % (2929782)Termination reason: Instruction limit
% 18.22/3.67 % (2929782)Termination phase: Saturation
% 18.22/3.67 % (2929782)Time elapsed: 0.048 s
% 18.22/3.67 % (2929782)Peak memory usage: 94 MB
% 18.22/3.67 % (2929782)Instructions burned: 121 (million)
% 18.22/3.67 % (2929781)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3026218161:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 18.22/3.67 % (2929780)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=2082346647:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 18.22/3.67 % (2929778)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=3508841063:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 18.22/3.67 % (2929779)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=1106422097:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 18.22/3.67 % (2929781)Refutation not found, incomplete strategy
% 18.22/3.67 % (2929781)------------------------------
% 18.22/3.67 % (2929781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.67 % (2929781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.67 % (2929781)CaDiCaL version: 2.1.3
% 18.22/3.67 % (2929781)Termination reason: Refutation not found, incomplete strategy
% 18.22/3.67 % (2929781)Time elapsed: 0.025 s
% 18.22/3.67 % (2929781)Peak memory usage: 94 MB
% 18.22/3.67 % (2929781)Instructions burned: 39 (million)
% 18.22/3.67 % (2929784)dis-21_1_sil=8000:lcm=predicate:random_seed=1042820568:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 18.22/3.67 % (2929783)Instruction limit reached!
% 18.22/3.67 % (2929783)------------------------------
% 18.22/3.67 % (2929783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.67 % (2929783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.67 % (2929783)CaDiCaL version: 2.1.3
% 18.22/3.67 % (2929783)Termination reason: Instruction limit
% 18.22/3.67 % (2929783)Termination phase: Preprocessing 3
% 18.22/3.67 % (2929783)Time elapsed: 0.132 s
% 18.22/3.67 % (2929783)Peak memory usage: 94 MB
% 18.22/3.67 % (2929783)Instructions burned: 139 (million)
% 18.22/3.67 % (2929784)Instruction limit reached!
% 18.22/3.67 % (2929784)------------------------------
% 18.22/3.67 % (2929784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.67 % (2929784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.67 % (2929784)CaDiCaL version: 2.1.3
% 18.22/3.67 % (2929784)Termination reason: Instruction limit
% 18.22/3.67 % (2929784)Termination phase: Equality proxy
% 18.22/3.67 % (2929784)Time elapsed: 0.115 s
% 18.22/3.67 % (2929784)Peak memory usage: 94 MB
% 18.22/3.67 % (2929784)Instructions burned: 129 (million)
% 18.22/3.67 % (2929787)lrs+10_1_sil=8000:sp=occurrence:random_seed=2821786385:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 18.22/3.67 % (2929787)Refutation not found, incomplete strategy
% 18.22/3.67 % (2929787)------------------------------
% 18.22/3.67 % (2929787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.22/3.67 % (2929787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.22/3.67 % (2929787)CaDiCaL version: 2.1.3
% 18.22/3.67 % (2929787)Termination reason: Refutation not found, incomplete strategy
% 18.22/3.67 % (2929787)Time elapsed: 0.022 s
% 18.22/3.67 % (2929787)Peak memory usage: 95 MB
% 18.22/3.67 % (2929787)Instructions burned: 36 (million)
% 30.16/5.29 % (2929781)------------------------------
% 30.16/5.29 % (2929781)------------------------------
% 30.16/5.29 % (2929793)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1854817691:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 30.16/5.29 % (2929794)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2565405675:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 30.16/5.29 % (2929787)------------------------------
% 30.16/5.29 % (2929787)------------------------------
% 30.16/5.29 % (2929793)Refutation not found, incomplete strategy
% 30.16/5.29 % (2929793)------------------------------
% 30.16/5.29 % (2929793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929793)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929793)Termination reason: Refutation not found, incomplete strategy
% 30.16/5.29 % (2929793)Time elapsed: 0.068 s
% 30.16/5.29 % (2929793)Peak memory usage: 95 MB
% 30.16/5.29 % (2929793)Instructions burned: 83 (million)
% 30.16/5.29 % (2929797)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=1155319198:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 30.16/5.29 % (2929794)Instruction limit reached!
% 30.16/5.29 % (2929794)------------------------------
% 30.16/5.29 % (2929794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929794)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929794)Termination reason: Instruction limit
% 30.16/5.29 % (2929794)Termination phase: Saturation
% 30.16/5.29 % (2929794)Time elapsed: 0.199 s
% 30.16/5.29 % (2929794)Peak memory usage: 95 MB
% 30.16/5.29 % (2929794)Instructions burned: 326 (million)
% 30.16/5.29 % (2929801)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3412341773:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 30.16/5.29 % (2929797)Instruction limit reached!
% 30.16/5.29 % (2929797)------------------------------
% 30.16/5.29 % (2929797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929797)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929797)Termination reason: Instruction limit
% 30.16/5.29 % (2929797)Termination phase: Saturation
% 30.16/5.29 % (2929797)Time elapsed: 0.133 s
% 30.16/5.29 % (2929797)Peak memory usage: 99 MB
% 30.16/5.29 % (2929797)Instructions burned: 248 (million)
% 30.16/5.29 % (2929793)------------------------------
% 30.16/5.29 % (2929793)------------------------------
% 30.16/5.29 % (2929803)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=124969339:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 30.16/5.29 % (2929801)Instruction limit reached!
% 30.16/5.29 % (2929801)------------------------------
% 30.16/5.29 % (2929801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929801)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929801)Termination reason: Instruction limit
% 30.16/5.29 % (2929801)Termination phase: Saturation
% 30.16/5.29 % (2929801)Time elapsed: 0.225 s
% 30.16/5.29 % (2929801)Peak memory usage: 94 MB
% 30.16/5.29 % (2929801)Instructions burned: 295 (million)
% 30.16/5.29 % (2929805)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=185376882:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 30.16/5.29 % (2929805)Instruction limit reached!
% 30.16/5.29 % (2929805)------------------------------
% 30.16/5.29 % (2929805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929805)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929805)Termination reason: Instruction limit
% 30.16/5.29 % (2929805)Termination phase: Saturation
% 30.16/5.29 % (2929805)Time elapsed: 0.103 s
% 30.16/5.29 % (2929805)Peak memory usage: 96 MB
% 30.16/5.29 % (2929805)Instructions burned: 113 (million)
% 30.16/5.29 % (2929807)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=348396261:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 30.16/5.29 % (2929808)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2424715037:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 30.16/5.29 % (2929807)Instruction limit reached!
% 30.16/5.29 % (2929807)------------------------------
% 30.16/5.29 % (2929807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929807)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929807)Termination reason: Instruction limit
% 30.16/5.29 % (2929807)Termination phase: Property scanning
% 30.16/5.29 % (2929807)Time elapsed: 0.126 s
% 30.16/5.29 % (2929807)Peak memory usage: 96 MB
% 30.16/5.29 % (2929807)Instructions burned: 128 (million)
% 30.16/5.29 % (2929808)Instruction limit reached!
% 30.16/5.29 % (2929808)------------------------------
% 30.16/5.29 % (2929808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929808)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929808)Termination reason: Instruction limit
% 30.16/5.29 % (2929808)Termination phase: SInE selection
% 30.16/5.29 % (2929808)Time elapsed: 0.102 s
% 30.16/5.29 % (2929808)Peak memory usage: 91 MB
% 30.16/5.29 % (2929808)Instructions burned: 115 (million)
% 30.16/5.29 % (2929810)lrs+10_1_sil=8000:sp=occurrence:random_seed=1400253603:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 30.16/5.29 % (2929810)Refutation not found, incomplete strategy
% 30.16/5.29 % (2929810)------------------------------
% 30.16/5.29 % (2929810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929810)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929810)Termination reason: Refutation not found, incomplete strategy
% 30.16/5.29 % (2929810)Time elapsed: 0.039 s
% 30.16/5.29 % (2929810)Peak memory usage: 95 MB
% 30.16/5.29 % (2929810)Instructions burned: 39 (million)
% 30.16/5.29 % (2929813)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1628003758:i=437:sd=1:aac=none:ss=included_2982 on theBenchmark for (2982ds/437Mi)
% 30.16/5.29 % (2929814)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3826420315:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 30.16/5.29 % (2929810)------------------------------
% 30.16/5.29 % (2929810)------------------------------
% 30.16/5.29 % (2929813)Instruction limit reached!
% 30.16/5.29 % (2929813)------------------------------
% 30.16/5.29 % (2929813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929813)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929813)Termination reason: Instruction limit
% 30.16/5.29 % (2929813)Termination phase: Saturation
% 30.16/5.29 % (2929813)Time elapsed: 0.303 s
% 30.16/5.29 % (2929813)Peak memory usage: 95 MB
% 30.16/5.29 % (2929813)Instructions burned: 438 (million)
% 30.16/5.29 % (2929818)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1861341806:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 30.16/5.29 % (2929819)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=875072537:st=8:i=592:sd=3:ep=RST:ss=axioms_2976 on theBenchmark for (2976ds/592Mi)
% 30.16/5.29 % (2929803)Instruction limit reached!
% 30.16/5.29 % (2929803)------------------------------
% 30.16/5.29 % (2929803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929803)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929803)Termination reason: Instruction limit
% 30.16/5.29 % (2929803)Termination phase: Saturation
% 30.16/5.29 % (2929803)Time elapsed: 1.297 s
% 30.16/5.29 % (2929803)Peak memory usage: 196 MB
% 30.16/5.29 % (2929803)Instructions burned: 2352 (million)
% 30.16/5.29 % (2929818)Instruction limit reached!
% 30.16/5.29 % (2929818)------------------------------
% 30.16/5.29 % (2929818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929818)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929818)Termination reason: Instruction limit
% 30.16/5.29 % (2929818)Termination phase: Saturation
% 30.16/5.29 % (2929818)Time elapsed: 0.116 s
% 30.16/5.29 % (2929818)Peak memory usage: 96 MB
% 30.16/5.29 % (2929818)Instructions burned: 134 (million)
% 30.16/5.29 % (2929822)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2274133351:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 30.16/5.29 % (2929823)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=976820947:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2972 on theBenchmark for (2972ds/125Mi)
% 30.16/5.29 % (2929819)Instruction limit reached!
% 30.16/5.29 % (2929819)------------------------------
% 30.16/5.29 % (2929819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929819)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929819)Termination reason: Instruction limit
% 30.16/5.29 % (2929819)Termination phase: Saturation
% 30.16/5.29 % (2929819)Time elapsed: 0.438 s
% 30.16/5.29 % (2929819)Peak memory usage: 99 MB
% 30.16/5.29 % (2929819)Instructions burned: 593 (million)
% 30.16/5.29 % (2929823)Refutation not found, incomplete strategy
% 30.16/5.29 % (2929823)------------------------------
% 30.16/5.29 % (2929823)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929823)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929823)Termination reason: Refutation not found, incomplete strategy
% 30.16/5.29 % (2929823)Time elapsed: 0.096 s
% 30.16/5.29 % (2929823)Peak memory usage: 95 MB
% 30.16/5.29 % (2929823)Instructions burned: 113 (million)
% 30.16/5.29 % (2929826)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3793127400:i=134:gtgl=5:slsql=off:gtg=exists_sym_2969 on theBenchmark for (2969ds/134Mi)
% 30.16/5.29 % (2929826)Instruction limit reached!
% 30.16/5.29 % (2929826)------------------------------
% 30.16/5.29 % (2929826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929826)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929826)Termination reason: Instruction limit
% 30.16/5.29 % (2929826)Termination phase: SInE selection
% 30.16/5.29 % (2929826)Time elapsed: 0.115 s
% 30.16/5.29 % (2929826)Peak memory usage: 92 MB
% 30.16/5.29 % (2929826)Instructions burned: 135 (million)
% 30.16/5.29 % (2929823)------------------------------
% 30.16/5.29 % (2929823)------------------------------
% 30.16/5.29 % (2929828)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3786540447:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2965 on theBenchmark for (2965ds/141Mi)
% 30.16/5.29 % (2929828)Refutation not found, incomplete strategy
% 30.16/5.29 % (2929828)------------------------------
% 30.16/5.29 % (2929828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929828)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929828)Termination reason: Refutation not found, incomplete strategy
% 30.16/5.29 % (2929828)Time elapsed: 0.020 s
% 30.16/5.29 % (2929828)Peak memory usage: 94 MB
% 30.16/5.29 % (2929828)Instructions burned: 38 (million)
% 30.16/5.29 % (2929829)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3145047985:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2964 on theBenchmark for (2964ds/431Mi)
% 30.16/5.29 % (2929828)------------------------------
% 30.16/5.29 % (2929828)------------------------------
% 30.16/5.29 % (2929778)First to succeed.
% 30.16/5.29 % (2929778)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2929771"
% 30.16/5.29 % (2929833)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=899766049:i=6060:aac=none:ins=25_2960 on theBenchmark for (2960ds/6060Mi)
% 30.16/5.29 % (2929829)Instruction limit reached!
% 30.16/5.29 % (2929829)------------------------------
% 30.16/5.29 % (2929829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.16/5.29 % (2929829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.16/5.29 % (2929829)CaDiCaL version: 2.1.3
% 30.16/5.29 % (2929829)Termination reason: Instruction limit
% 30.16/5.29 % (2929829)Termination phase: Saturation
% 30.16/5.29 % (2929829)Time elapsed: 0.378 s
% 30.16/5.29 % (2929829)Peak memory usage: 100 MB
% 30.16/5.29 % (2929829)Instructions burned: 432 (million)
% 30.16/5.29 % (2929778)Refutation found. Thanks to Tanya!
% 30.16/5.29 % SZS status ContradictoryAxioms for theBenchmark
% 30.98/5.53 % SZS output start Proof for theBenchmark
% See solution above
% 30.98/5.54 % (2929778)------------------------------
% 30.98/5.54 % (2929778)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.98/5.54 % (2929778)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.98/5.54 % (2929778)CaDiCaL version: 2.1.3
% 30.98/5.54 % (2929778)Termination reason: Refutation
% 30.98/5.54 % (2929778)Time elapsed: 3.526 s
% 30.98/5.54 % (2929778)Peak memory usage: 198 MB
% 30.98/5.54 % (2929778)Instructions burned: 3767 (million)
% 30.98/5.54 % (2929778)------------------------------
% 30.98/5.54 % (2929778)------------------------------
% 30.98/5.54 % (2929771)Success in time 4.473 s
% 30.98/5.54 % Vampire exiting
%------------------------------------------------------------------------------