%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR087+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 09:42:50 AM UTC 2026
% Result : ContradictoryAxioms 12.47s 2.70s
% Output : Refutation 14.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 9 unt; 5 def)
% Number of atoms : 231 ( 28 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 268 ( 101 ~; 111 |; 43 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 146 ( 0 sgn 139 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f501,axiom,
! [X0] : s__instance(X0,s__Entity),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',kb_SUMO_3533) ).
fof(f11179,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(f11180,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,[],[f11179]) ).
fof(f11181,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f3520]) ).
fof(f11182,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f11181]) ).
fof(f12431,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(f12432,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> sP10(X1,X2,X0) ),
inference(definition_folding,[],[f11180,f12431]) ).
fof(f12652,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,[],[f12431]) ).
fof(f12653,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,[],[f12652]) ).
fof(f12654,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))],[f12653]) ).
fof(f12655,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,[],[f12432]) ).
fof(f14819,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f501]) ).
fof(f18044,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X2,s__SetOrClass) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18046,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18047,plain,
! [X2,X0,X1] :
( s__instance(sK157(X0,X1,X2),X0)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18048,plain,
! [X2,X0,X1] :
( s__instance(sK156(X0,X1,X2),X2)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18049,plain,
! [X2,X0,X1] :
( s__instance(sK155(X0,X1,X2),X1)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18053,plain,
! [X2,X0,X1] :
( ~ sP10(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f12655]) ).
fof(f18089,plain,
! [X0,X1] :
( ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f11182]) ).
fof(f23260,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X0,X2) ),
inference(resolution,[],[f18089,f18049]) ).
fof(f23271,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23260,f18046]) ).
fof(f23272,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X0,X1) = X2 ),
inference(resolution,[],[f23271,f18053]) ).
fof(f23273,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X2,s__NullSet)
| ~ s__instance(X2,s__SetOrClass) ),
inference(resolution,[],[f18048,f18089]) ).
fof(f23274,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X2,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23273,f18044]) ).
fof(f23275,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X0) = X2 ),
inference(resolution,[],[f23274,f18053]) ).
fof(f23279,plain,
! [X2,X3,X0,X1] :
( sP10(s__NullSet,X0,X1)
| s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
inference(resolution,[],[f18047,f23275]) ).
fof(f23285,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,sK157(s__NullSet,X1,X2)) = X3
| s__NullSet = s__UnionFn(X1,X2) ),
inference(resolution,[],[f23279,f18053]) ).
fof(f23287,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3)
| s__NullSet = s__UnionFn(X2,X3) ),
inference(superposition,[],[f23285,f23285]) ).
fof(f23292,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3) ),
inference(duplicate_literal_removal,[],[f23287]) ).
fof(f23294,definition,
( spl505_69
<=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl505_69])],[avatar_definition]) ).
fof(f23295,plain,
( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
| ~ spl505_69 ),
inference(avatar_component_clause,[],[f23294]) ).
fof(f23297,definition,
( spl505_70
<=> ! [X4,X0] : X0 = X4 ),
introduced(definition,[new_symbols(definition,[spl505_70])],[avatar_definition]) ).
fof(f23298,plain,
( ! [X0,X4] : X0 = X4
| ~ spl505_70 ),
inference(avatar_component_clause,[],[f23297]) ).
fof(f23299,plain,
( spl505_69
| spl505_70 ),
inference(avatar_split_clause,[],[f23292,f23297,f23294]) ).
fof(f23308,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(sK156(X0,X1,s__NullSet),X2) = X3
| sP10(X0,X1,s__NullSet) ),
inference(resolution,[],[f23272,f18048]) ).
fof(f23311,plain,
( ! [X3,X0,X1] :
( s__NullSet = X3
| sP10(X0,X1,s__NullSet) )
| ~ spl505_69 ),
inference(forward_demodulation,[],[f23308,f23295]) ).
fof(f23317,definition,
( spl505_73
<=> ! [X3] : s__NullSet = X3 ),
introduced(definition,[new_symbols(definition,[spl505_73])],[avatar_definition]) ).
fof(f23318,plain,
( ! [X3] : s__NullSet = X3
| ~ spl505_73 ),
inference(avatar_component_clause,[],[f23317]) ).
fof(f23321,definition,
( spl505_74
<=> ! [X0,X1] : sP10(X0,X1,s__NullSet) ),
introduced(definition,[new_symbols(definition,[spl505_74])],[avatar_definition]) ).
fof(f23322,plain,
( ! [X0,X1] : sP10(X0,X1,s__NullSet)
| ~ spl505_74 ),
inference(avatar_component_clause,[],[f23321]) ).
fof(f23323,plain,
( spl505_74
| spl505_73
| ~ spl505_69 ),
inference(avatar_split_clause,[],[f23311,f23294,f23317,f23321]) ).
fof(f23339,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl505_70 ),
inference(superposition,[],[f14819,f23298]) ).
fof(f23350,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl505_70 ),
inference(resolution,[],[f23339,f18089]) ).
fof(f23354,plain,
( ! [X0] : ~ s__instance(X0,s__NullSet)
| ~ spl505_70 ),
inference(forward_subsumption_resolution,[],[f23350,f23339]) ).
fof(f23355,plain,
( $false
| ~ spl505_70 ),
inference(forward_subsumption_resolution,[],[f23354,f23339]) ).
fof(f23356,plain,
~ spl505_70,
inference(avatar_contradiction_clause,[],[f23355]) ).
fof(f23360,plain,
( ! [X0,X1] : X0 = X1
| ~ spl505_73 ),
inference(superposition,[],[f23318,f23318]) ).
fof(f23376,plain,
( spl505_70
| ~ spl505_73 ),
inference(avatar_split_clause,[],[f23360,f23317,f23297]) ).
fof(f23377,plain,
( ! [X0,X1] : s__UnionFn(X0,s__NullSet) = X1
| ~ spl505_74 ),
inference(resolution,[],[f23322,f18053]) ).
fof(f23378,plain,
( ! [X1] : s__NullSet = X1
| ~ spl505_69
| ~ spl505_74 ),
inference(forward_demodulation,[],[f23377,f23295]) ).
fof(f23379,plain,
( spl505_73
| ~ spl505_69
| ~ spl505_74 ),
inference(avatar_split_clause,[],[f23378,f23321,f23294,f23317]) ).
cnf(s40,plain,
( spl505_69
| spl505_70 ),
inference(sat_conversion,[],[f23299]) ).
cnf(s43,plain,
( ~ spl505_69
| spl505_73
| spl505_74 ),
inference(sat_conversion,[],[f23323]) ).
cnf(s45,plain,
~ spl505_70,
inference(sat_conversion,[],[f23356]) ).
cnf(s46,plain,
( spl505_70
| ~ spl505_73 ),
inference(sat_conversion,[],[f23376]) ).
cnf(s47,plain,
( ~ spl505_69
| spl505_73
| ~ spl505_74 ),
inference(sat_conversion,[],[f23379]) ).
cnf(s48,plain,
~ spl505_73,
inference(rat,[],[s46,s45]) ).
cnf(s50,plain,
( ~ spl505_69
| spl505_74 ),
inference(rat,[],[s43,s48]) ).
cnf(s52,plain,
spl505_69,
inference(rat,[],[s40,s45]) ).
cnf(s53,plain,
~ spl505_74,
inference(rat,[],[s47,s48,s52]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s50,s53,s52]) ).
fof(f23380,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR087+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n011.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 22:37:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 10.69/2.35 % (3860699)Detected formulas, will run a generic FOF schedule.
% 10.69/2.35 % (3860706)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=3532064265:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 10.69/2.35 % (3860709)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=458626296:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 10.69/2.35 % (3860708)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=88299171:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 10.69/2.35 % (3860707)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3542647543:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 10.69/2.35 % (3860710)dis-21_1_sil=8000:lcm=predicate:random_seed=1652080731: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)
% 10.69/2.35 % (3860705)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=1242097139:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 10.69/2.35 % (3860704)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=1664771427:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 10.69/2.35 % (3860707)Refutation not found, incomplete strategy
% 10.69/2.35 % (3860707)------------------------------
% 10.69/2.35 % (3860707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/2.35 % (3860707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.35 % (3860707)CaDiCaL version: 2.1.3
% 10.69/2.35 % (3860707)Termination reason: Refutation not found, incomplete strategy
% 10.69/2.35 % (3860707)Time elapsed: 0.022 s
% 10.69/2.35 % (3860707)Peak memory usage: 95 MB
% 10.69/2.35 % (3860707)Instructions burned: 39 (million)
% 10.69/2.35 % (3860708)Instruction limit reached!
% 10.69/2.35 % (3860708)------------------------------
% 10.69/2.35 % (3860708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/2.35 % (3860708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.35 % (3860708)CaDiCaL version: 2.1.3
% 10.69/2.35 % (3860708)Termination reason: Instruction limit
% 10.69/2.35 % (3860708)Termination phase: Saturation
% 10.69/2.35 % (3860708)Time elapsed: 0.065 s
% 10.69/2.35 % (3860708)Peak memory usage: 94 MB
% 10.69/2.35 % (3860708)Instructions burned: 119 (million)
% 10.69/2.35 % (3860710)Instruction limit reached!
% 10.69/2.35 % (3860710)------------------------------
% 10.69/2.35 % (3860710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/2.35 % (3860710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.35 % (3860710)CaDiCaL version: 2.1.3
% 10.69/2.35 % (3860710)Termination reason: Instruction limit
% 10.69/2.35 % (3860710)Termination phase: Property scanning
% 10.69/2.35 % (3860710)Time elapsed: 0.072 s
% 10.69/2.35 % (3860710)Peak memory usage: 94 MB
% 10.69/2.35 % (3860710)Instructions burned: 131 (million)
% 10.69/2.35 % (3860709)Instruction limit reached!
% 10.69/2.35 % (3860709)------------------------------
% 10.69/2.35 % (3860709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/2.35 % (3860709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.69/2.35 % (3860709)CaDiCaL version: 2.1.3
% 10.69/2.35 % (3860709)Termination reason: Instruction limit
% 10.69/2.35 % (3860709)Termination phase: Preprocessing 3
% 10.69/2.35 % (3860709)Time elapsed: 0.086 s
% 10.69/2.35 % (3860709)Peak memory usage: 94 MB
% 10.69/2.35 % (3860709)Instructions burned: 140 (million)
% 10.69/2.35 % (3860718)lrs+10_1_sil=8000:sp=occurrence:random_seed=3584235558:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 10.69/2.35 % (3860719)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3206792070:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 10.69/2.35 % (3860720)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2305146969:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 10.69/2.35 % (3860719)Refutation not found, incomplete strategy
% 10.69/2.35 % (3860719)------------------------------
% 10.69/2.35 % (3860719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.69/2.35 % (3860719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860719)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860719)Termination reason: Refutation not found, incomplete strategy
% 12.47/2.70 % (3860719)Time elapsed: 0.041 s
% 12.47/2.70 % (3860719)Peak memory usage: 95 MB
% 12.47/2.70 % (3860719)Instructions burned: 83 (million)
% 12.47/2.70 % (3860707)------------------------------
% 12.47/2.70 % (3860707)------------------------------
% 12.47/2.70 % (3860720)Refutation not found, incomplete strategy
% 12.47/2.70 % (3860720)------------------------------
% 12.47/2.70 % (3860720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860720)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860720)Termination reason: Refutation not found, incomplete strategy
% 12.47/2.70 % (3860720)Time elapsed: 0.023 s
% 12.47/2.70 % (3860720)Peak memory usage: 95 MB
% 12.47/2.70 % (3860720)Instructions burned: 36 (million)
% 12.47/2.70 % (3860706)Refutation not found, incomplete strategy
% 12.47/2.70 % (3860706)------------------------------
% 12.47/2.70 % (3860706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860706)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860706)Termination reason: Refutation not found, incomplete strategy
% 12.47/2.70 % (3860706)Time elapsed: 0.413 s
% 12.47/2.70 % (3860706)Peak memory usage: 139 MB
% 12.47/2.70 % (3860706)Instructions burned: 1124 (million)
% 12.47/2.70 % (3860718)Instruction limit reached!
% 12.47/2.70 % (3860718)------------------------------
% 12.47/2.70 % (3860718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860718)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860718)Termination reason: Instruction limit
% 12.47/2.70 % (3860718)Termination phase: Saturation
% 12.47/2.70 % (3860718)Time elapsed: 0.160 s
% 12.47/2.70 % (3860718)Peak memory usage: 97 MB
% 12.47/2.70 % (3860718)Instructions burned: 285 (million)
% 12.47/2.70 % (3860724)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=398103450:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 12.47/2.70 % (3860719)------------------------------
% 12.47/2.70 % (3860719)------------------------------
% 12.47/2.70 % (3860706)------------------------------
% 12.47/2.70 % (3860706)------------------------------
% 12.47/2.70 % (3860720)------------------------------
% 12.47/2.70 % (3860720)------------------------------
% 12.47/2.70 % (3860725)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3502930993:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 12.47/2.70 % (3860724)Instruction limit reached!
% 12.47/2.70 % (3860724)------------------------------
% 12.47/2.70 % (3860724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860724)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860724)Termination reason: Instruction limit
% 12.47/2.70 % (3860724)Termination phase: Saturation
% 12.47/2.70 % (3860724)Time elapsed: 0.130 s
% 12.47/2.70 % (3860724)Peak memory usage: 99 MB
% 12.47/2.70 % (3860724)Instructions burned: 248 (million)
% 12.47/2.70 % (3860725)Refutation not found, incomplete strategy
% 12.47/2.70 % (3860725)------------------------------
% 12.47/2.70 % (3860725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860725)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860725)Termination reason: Refutation not found, incomplete strategy
% 12.47/2.70 % (3860725)Time elapsed: 0.032 s
% 12.47/2.70 % (3860725)Peak memory usage: 95 MB
% 12.47/2.70 % (3860725)Instructions burned: 56 (million)
% 12.47/2.70 % (3860728)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3295249469:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 12.47/2.70 % (3860727)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1329177366:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 12.47/2.70 % (3860728)Instruction limit reached!
% 12.47/2.70 % (3860728)------------------------------
% 12.47/2.70 % (3860728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860728)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860728)Termination reason: Instruction limit
% 12.47/2.70 % (3860728)Termination phase: Saturation
% 12.47/2.70 % (3860728)Time elapsed: 0.036 s
% 12.47/2.70 % (3860728)Peak memory usage: 96 MB
% 12.47/2.70 % (3860728)Instructions burned: 114 (million)
% 12.47/2.70 % (3860729)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3618070006:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 12.47/2.70 % (3860731)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=580710774:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 12.47/2.70 % (3860731)Instruction limit reached!
% 12.47/2.70 % (3860731)------------------------------
% 12.47/2.70 % (3860731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860731)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860731)Termination reason: Instruction limit
% 12.47/2.70 % (3860731)Termination phase: SInE selection
% 12.47/2.70 % (3860731)Time elapsed: 0.052 s
% 12.47/2.70 % (3860731)Peak memory usage: 91 MB
% 12.47/2.70 % (3860731)Instructions burned: 116 (million)
% 12.47/2.70 % (3860729)Instruction limit reached!
% 12.47/2.70 % (3860729)------------------------------
% 12.47/2.70 % (3860729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860729)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860729)Termination reason: Instruction limit
% 12.47/2.70 % (3860729)Termination phase: Property scanning
% 12.47/2.70 % (3860729)Time elapsed: 0.077 s
% 12.47/2.70 % (3860729)Peak memory usage: 97 MB
% 12.47/2.70 % (3860729)Instructions burned: 127 (million)
% 12.47/2.70 % (3860725)------------------------------
% 12.47/2.70 % (3860725)------------------------------
% 12.47/2.70 % (3860734)lrs+10_1_sil=8000:sp=occurrence:random_seed=2171302039:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 12.47/2.70 % (3860737)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3157385752:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 12.47/2.70 % (3860738)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1232206757:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 12.47/2.70 % (3860737)Refutation not found, incomplete strategy
% 12.47/2.70 % (3860737)------------------------------
% 12.47/2.70 % (3860737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860737)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860737)Termination reason: Refutation not found, incomplete strategy
% 12.47/2.70 % (3860737)Time elapsed: 0.031 s
% 12.47/2.70 % (3860737)Peak memory usage: 95 MB
% 12.47/2.70 % (3860737)Instructions burned: 55 (million)
% 12.47/2.70 % (3860739)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2016849627:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 12.47/2.70 % (3860739)Instruction limit reached!
% 12.47/2.70 % (3860739)------------------------------
% 12.47/2.70 % (3860739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860739)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860739)Termination reason: Instruction limit
% 12.47/2.70 % (3860739)Termination phase: Saturation
% 12.47/2.70 % (3860739)Time elapsed: 0.070 s
% 12.47/2.70 % (3860739)Peak memory usage: 96 MB
% 12.47/2.70 % (3860739)Instructions burned: 135 (million)
% 12.47/2.70 % (3860737)------------------------------
% 12.47/2.70 % (3860737)------------------------------
% 12.47/2.70 % (3860744)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=741141997:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 12.47/2.70 % (3860734)Instruction limit reached!
% 12.47/2.70 % (3860734)------------------------------
% 12.47/2.70 % (3860734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860734)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860734)Termination reason: Instruction limit
% 12.47/2.70 % (3860734)Termination phase: Saturation
% 12.47/2.70 % (3860734)Time elapsed: 0.506 s
% 12.47/2.70 % (3860734)Peak memory usage: 112 MB
% 12.47/2.70 % (3860734)Instructions burned: 908 (million)
% 12.47/2.70 % (3860745)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=963560090:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 12.47/2.70 % (3860704)First to succeed.
% 12.47/2.70 % (3860704)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3860699"
% 12.47/2.70 % (3860747)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=447296401:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2982 on theBenchmark for (2982ds/125Mi)
% 12.47/2.70 % (3860744)Instruction limit reached!
% 12.47/2.70 % (3860744)------------------------------
% 12.47/2.70 % (3860744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860744)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860744)Termination reason: Instruction limit
% 12.47/2.70 % (3860744)Termination phase: Saturation
% 12.47/2.70 % (3860744)Time elapsed: 0.326 s
% 12.47/2.70 % (3860744)Peak memory usage: 100 MB
% 12.47/2.70 % (3860744)Instructions burned: 592 (million)
% 12.47/2.70 % (3860747)Instruction limit reached!
% 12.47/2.70 % (3860747)------------------------------
% 12.47/2.70 % (3860747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.47/2.70 % (3860747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.47/2.70 % (3860747)CaDiCaL version: 2.1.3
% 12.47/2.70 % (3860747)Termination reason: Instruction limit
% 12.47/2.70 % (3860747)Termination phase: Preprocessing 2
% 12.47/2.70 % (3860747)Time elapsed: 0.071 s
% 12.47/2.70 % (3860747)Peak memory usage: 92 MB
% 12.47/2.70 % (3860747)Instructions burned: 125 (million)
% 12.47/2.70 % (3860704)Refutation found. Thanks to Tanya!
% 12.47/2.70 % SZS status ContradictoryAxioms for theBenchmark
% 12.47/2.70 % SZS output start Proof for theBenchmark
% See solution above
% 14.05/2.90 % (3860704)------------------------------
% 14.05/2.90 % (3860704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.05/2.90 % (3860704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.05/2.90 % (3860704)CaDiCaL version: 2.1.3
% 14.05/2.90 % (3860704)Termination reason: Refutation
% 14.05/2.90 % (3860704)Time elapsed: 1.513 s
% 14.05/2.90 % (3860704)Peak memory usage: 201 MB
% 14.05/2.90 % (3860704)Instructions burned: 3757 (million)
% 14.05/2.90 % (3860704)------------------------------
% 14.05/2.90 % (3860704)------------------------------
% 14.05/2.90 % (3860699)Success in time 2.061 s
% 14.05/2.90 % Vampire exiting
%------------------------------------------------------------------------------