%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR084+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 : 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 09:42:47 AM UTC 2026
% Result : ContradictoryAxioms 7.69s 2.40s
% Output : Refutation 0.19s
% 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(f11183,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(f11184,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,[],[f11183]) ).
fof(f11185,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f3520]) ).
fof(f11186,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f11185]) ).
fof(f12442,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(f12443,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> sP10(X1,X2,X0) ),
inference(definition_folding,[],[f11184,f12442]) ).
fof(f12663,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,[],[f12442]) ).
fof(f12664,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,[],[f12663]) ).
fof(f12665,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))],[f12664]) ).
fof(f12666,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,[],[f12443]) ).
fof(f14830,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f501]) ).
fof(f18055,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X2,s__SetOrClass) ),
inference(cnf_transformation,[],[f12665]) ).
fof(f18056,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f12665]) ).
fof(f18057,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f12665]) ).
fof(f18058,plain,
! [X2,X0,X1] :
( s__instance(sK157(X0,X1,X2),X0)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12665]) ).
fof(f18059,plain,
! [X2,X0,X1] :
( s__instance(sK156(X0,X1,X2),X2)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12665]) ).
fof(f18060,plain,
! [X2,X0,X1] :
( s__instance(sK155(X0,X1,X2),X1)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12665]) ).
fof(f18064,plain,
! [X2,X0,X1] :
( ~ sP10(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f12666]) ).
fof(f18100,plain,
! [X0,X1] :
( ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f11186]) ).
fof(f23276,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X0,X2) ),
inference(resolution,[],[f18100,f18060]) ).
fof(f23277,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23276,f18057]) ).
fof(f23290,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X2,s__NullSet)
| ~ s__instance(X2,s__SetOrClass) ),
inference(resolution,[],[f18059,f18100]) ).
fof(f23292,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X2,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23290,f18055]) ).
fof(f23293,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X0) = X2 ),
inference(resolution,[],[f23292,f18064]) ).
fof(f23296,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(resolution,[],[f18058,f18100]) ).
fof(f23297,plain,
! [X2,X3,X0,X1] :
( sP10(s__NullSet,X0,X1)
| s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
inference(resolution,[],[f18058,f23293]) ).
fof(f23299,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23296,f18056]) ).
fof(f23300,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X2) = X0 ),
inference(resolution,[],[f23299,f18064]) ).
fof(f23301,plain,
! [X2,X3,X0,X1] :
( sP10(X2,s__NullSet,X3)
| s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3) ),
inference(resolution,[],[f23300,f18060]) ).
fof(f23304,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,sK157(s__NullSet,X1,X2)) = X3
| s__NullSet = s__UnionFn(X1,X2) ),
inference(resolution,[],[f23297,f18064]) ).
fof(f23306,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3)
| s__NullSet = s__UnionFn(X2,X3) ),
inference(superposition,[],[f23304,f23304]) ).
fof(f23311,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3) ),
inference(duplicate_literal_removal,[],[f23306]) ).
fof(f23313,definition,
( spl505_69
<=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl505_69])],[avatar_definition]) ).
fof(f23314,plain,
( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
| ~ spl505_69 ),
inference(avatar_component_clause,[],[f23313]) ).
fof(f23316,definition,
( spl505_70
<=> ! [X4,X0] : X0 = X4 ),
introduced(definition,[new_symbols(definition,[spl505_70])],[avatar_definition]) ).
fof(f23317,plain,
( ! [X0,X4] : X0 = X4
| ~ spl505_70 ),
inference(avatar_component_clause,[],[f23316]) ).
fof(f23318,plain,
( spl505_69
| spl505_70 ),
inference(avatar_split_clause,[],[f23311,f23316,f23313]) ).
fof(f23326,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(resolution,[],[f23301,f18064]) ).
fof(f23327,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 )
| ~ spl505_69 ),
inference(forward_demodulation,[],[f23326,f23314]) ).
fof(f23328,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__NullSet = X2 )
| ~ spl505_69 ),
inference(forward_demodulation,[],[f23327,f23314]) ).
fof(f23330,plain,
( ! [X0,X1] :
( s__instance(s__NullSet,s__NullSet)
| sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl505_69 ),
inference(superposition,[],[f18060,f23328]) ).
fof(f23331,plain,
( ! [X0,X1] :
( sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl505_69 ),
inference(forward_subsumption_resolution,[],[f23330,f23277]) ).
fof(f23332,plain,
( ! [X0,X1] :
( s__NullSet = X0
| s__UnionFn(s__NullSet,X1) = X0 )
| ~ spl505_69 ),
inference(resolution,[],[f23331,f18064]) ).
fof(f23333,plain,
( ! [X0] :
( s__NullSet = X0
| s__NullSet = X0 )
| ~ spl505_69 ),
inference(forward_demodulation,[],[f23332,f23314]) ).
fof(f23334,plain,
( ! [X0] : s__NullSet = X0
| ~ spl505_69 ),
inference(duplicate_literal_removal,[],[f23333]) ).
fof(f23335,plain,
( ! [X0,X1] : X0 = X1
| ~ spl505_69 ),
inference(superposition,[],[f23334,f23334]) ).
fof(f23355,plain,
( spl505_70
| ~ spl505_69 ),
inference(avatar_split_clause,[],[f23335,f23313,f23316]) ).
fof(f23373,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl505_70 ),
inference(superposition,[],[f14830,f23317]) ).
fof(f23390,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl505_70 ),
inference(resolution,[],[f23373,f18100]) ).
fof(f23394,plain,
( ! [X0] : ~ s__instance(X0,s__NullSet)
| ~ spl505_70 ),
inference(forward_subsumption_resolution,[],[f23390,f23373]) ).
fof(f23395,plain,
( $false
| ~ spl505_70 ),
inference(forward_subsumption_resolution,[],[f23394,f23373]) ).
fof(f23396,plain,
~ spl505_70,
inference(avatar_contradiction_clause,[],[f23395]) ).
cnf(s40,plain,
( spl505_69
| spl505_70 ),
inference(sat_conversion,[],[f23318]) ).
cnf(s42,plain,
( ~ spl505_69
| spl505_70 ),
inference(sat_conversion,[],[f23355]) ).
cnf(s43,plain,
~ spl505_70,
inference(sat_conversion,[],[f23396]) ).
cnf(s44,plain,
~ spl505_69,
inference(rat,[],[s42,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s40,s43,s44]) ).
fof(f23397,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR084+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n015.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:36:48 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 7.69/2.40 % (3109238)Detected formulas, will run a generic FOF schedule.
% 7.69/2.40 % (3109243)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=336855961:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 7.69/2.40 % (3109247)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3408682662:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 7.69/2.40 % (3109244)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=701407923:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 7.69/2.40 % (3109246)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1646595297:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 7.69/2.40 % (3109248)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=661861409:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 7.69/2.40 % (3109249)dis-21_1_sil=8000:lcm=predicate:random_seed=472729574: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)
% 7.69/2.40 % (3109245)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=1616048869:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 7.69/2.40 % (3109246)Refutation not found, incomplete strategy
% 7.69/2.40 % (3109246)------------------------------
% 7.69/2.40 % (3109246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109246)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109246)Termination reason: Refutation not found, incomplete strategy
% 7.69/2.40 % (3109246)Time elapsed: 0.021 s
% 7.69/2.40 % (3109246)Peak memory usage: 93 MB
% 7.69/2.40 % (3109246)Instructions burned: 37 (million)
% 7.69/2.40 % (3109247)Instruction limit reached!
% 7.69/2.40 % (3109247)------------------------------
% 7.69/2.40 % (3109247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109247)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109247)Termination reason: Instruction limit
% 7.69/2.40 % (3109247)Termination phase: Saturation
% 7.69/2.40 % (3109247)Time elapsed: 0.052 s
% 7.69/2.40 % (3109247)Peak memory usage: 93 MB
% 7.69/2.40 % (3109247)Instructions burned: 122 (million)
% 7.69/2.40 % (3109249)Instruction limit reached!
% 7.69/2.40 % (3109249)------------------------------
% 7.69/2.40 % (3109249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109249)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109249)Termination reason: Instruction limit
% 7.69/2.40 % (3109249)Termination phase: Property scanning
% 7.69/2.40 % (3109249)Time elapsed: 0.076 s
% 7.69/2.40 % (3109249)Peak memory usage: 94 MB
% 7.69/2.40 % (3109249)Instructions burned: 131 (million)
% 7.69/2.40 % (3109248)Instruction limit reached!
% 7.69/2.40 % (3109248)------------------------------
% 7.69/2.40 % (3109248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109248)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109248)Termination reason: Instruction limit
% 7.69/2.40 % (3109248)Termination phase: Preprocessing 3
% 7.69/2.40 % (3109248)Time elapsed: 0.076 s
% 7.69/2.40 % (3109248)Peak memory usage: 94 MB
% 7.69/2.40 % (3109248)Instructions burned: 139 (million)
% 7.69/2.40 % (3109257)lrs+10_1_sil=8000:sp=occurrence:random_seed=2108065808:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 7.69/2.40 % (3109258)lrs+10_1_sil=32000:urr=on:br=off:random_seed=703628382:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 7.69/2.40 % (3109259)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3292912155:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.69/2.40 % (3109257)Refutation not found, incomplete strategy
% 7.69/2.40 % (3109257)------------------------------
% 7.69/2.40 % (3109257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109257)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109257)Termination reason: Refutation not found, incomplete strategy
% 7.69/2.40 % (3109257)Time elapsed: 0.040 s
% 7.69/2.40 % (3109257)Peak memory usage: 95 MB
% 7.69/2.40 % (3109257)Instructions burned: 61 (million)
% 7.69/2.40 % (3109259)Refutation not found, incomplete strategy
% 7.69/2.40 % (3109259)------------------------------
% 7.69/2.40 % (3109259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109259)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109259)Termination reason: Refutation not found, incomplete strategy
% 7.69/2.40 % (3109259)Time elapsed: 0.021 s
% 7.69/2.40 % (3109259)Peak memory usage: 94 MB
% 7.69/2.40 % (3109259)Instructions burned: 34 (million)
% 7.69/2.40 % (3109246)------------------------------
% 7.69/2.40 % (3109246)------------------------------
% 7.69/2.40 % (3109258)Refutation not found, incomplete strategy
% 7.69/2.40 % (3109258)------------------------------
% 7.69/2.40 % (3109258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109258)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109258)Termination reason: Refutation not found, incomplete strategy
% 7.69/2.40 % (3109258)Time elapsed: 0.039 s
% 7.69/2.40 % (3109258)Peak memory usage: 94 MB
% 7.69/2.40 % (3109258)Instructions burned: 82 (million)
% 7.69/2.40 % (3109263)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=875193725:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 7.69/2.40 % (3109257)------------------------------
% 7.69/2.40 % (3109257)------------------------------
% 7.69/2.40 % (3109259)------------------------------
% 7.69/2.40 % (3109259)------------------------------
% 7.69/2.40 % (3109258)------------------------------
% 7.69/2.40 % (3109258)------------------------------
% 7.69/2.40 % (3109263)Instruction limit reached!
% 7.69/2.40 % (3109263)------------------------------
% 7.69/2.40 % (3109263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109263)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109263)Termination reason: Instruction limit
% 7.69/2.40 % (3109263)Termination phase: Saturation
% 7.69/2.40 % (3109263)Time elapsed: 0.136 s
% 7.69/2.40 % (3109263)Peak memory usage: 99 MB
% 7.69/2.40 % (3109263)Instructions burned: 248 (million)
% 7.69/2.40 % (3109265)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=531672665:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 7.69/2.40 % (3109266)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1022462821:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 7.69/2.40 % (3109265)Refutation not found, incomplete strategy
% 7.69/2.40 % (3109265)------------------------------
% 7.69/2.40 % (3109265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109265)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109265)Termination reason: Refutation not found, incomplete strategy
% 7.69/2.40 % (3109265)Time elapsed: 0.031 s
% 7.69/2.40 % (3109265)Peak memory usage: 94 MB
% 7.69/2.40 % (3109265)Instructions burned: 55 (million)
% 7.69/2.40 % (3109267)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2503302259:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 7.69/2.40 % (3109245)Refutation not found, incomplete strategy
% 7.69/2.40 % (3109245)------------------------------
% 7.69/2.40 % (3109245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109245)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109245)Termination reason: Refutation not found, incomplete strategy
% 7.69/2.40 % (3109245)Time elapsed: 0.741 s
% 7.69/2.40 % (3109245)Peak memory usage: 147 MB
% 7.69/2.40 % (3109245)Instructions burned: 1123 (million)
% 7.69/2.40 % (3109267)Instruction limit reached!
% 7.69/2.40 % (3109267)------------------------------
% 7.69/2.40 % (3109267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109267)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109267)Termination reason: Instruction limit
% 7.69/2.40 % (3109267)Termination phase: Saturation
% 7.69/2.40 % (3109267)Time elapsed: 0.066 s
% 7.69/2.40 % (3109267)Peak memory usage: 96 MB
% 7.69/2.40 % (3109267)Instructions burned: 114 (million)
% 7.69/2.40 % (3109268)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1344376593:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 7.69/2.40 % (3109268)Instruction limit reached!
% 7.69/2.40 % (3109268)------------------------------
% 7.69/2.40 % (3109268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109268)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109268)Termination reason: Instruction limit
% 7.69/2.40 % (3109268)Termination phase: Property scanning
% 7.69/2.40 % (3109268)Time elapsed: 0.077 s
% 7.69/2.40 % (3109268)Peak memory usage: 97 MB
% 7.69/2.40 % (3109268)Instructions burned: 127 (million)
% 7.69/2.40 % (3109273)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1234336037:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 7.69/2.40 % (3109265)------------------------------
% 7.69/2.40 % (3109265)------------------------------
% 7.69/2.40 % (3109273)Instruction limit reached!
% 7.69/2.40 % (3109273)------------------------------
% 7.69/2.40 % (3109273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109273)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109273)Termination reason: Instruction limit
% 7.69/2.40 % (3109273)Termination phase: SInE selection
% 7.69/2.40 % (3109273)Time elapsed: 0.052 s
% 7.69/2.40 % (3109273)Peak memory usage: 91 MB
% 7.69/2.40 % (3109273)Instructions burned: 115 (million)
% 7.69/2.40 % (3109245)------------------------------
% 7.69/2.40 % (3109245)------------------------------
% 7.69/2.40 % (3109274)lrs+10_1_sil=8000:sp=occurrence:random_seed=1730044988:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 7.69/2.40 % (3109276)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3586220267:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 7.69/2.40 % (3109277)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=223721804:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 7.69/2.40 % (3109276)Refutation not found, incomplete strategy
% 7.69/2.40 % (3109276)------------------------------
% 7.69/2.40 % (3109276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109276)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109276)Termination reason: Refutation not found, incomplete strategy
% 7.69/2.40 % (3109276)Time elapsed: 0.031 s
% 7.69/2.40 % (3109276)Peak memory usage: 95 MB
% 7.69/2.40 % (3109276)Instructions burned: 55 (million)
% 7.69/2.40 % (3109243)First to succeed.
% 7.69/2.40 % (3109243)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3109238"
% 7.69/2.40 % (3109278)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=824269040:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 7.69/2.40 % (3109278)Instruction limit reached!
% 7.69/2.40 % (3109278)------------------------------
% 7.69/2.40 % (3109278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.69/2.40 % (3109278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.69/2.40 % (3109278)CaDiCaL version: 2.1.3
% 7.69/2.40 % (3109278)Termination reason: Instruction limit
% 7.69/2.40 % (3109278)Termination phase: Saturation
% 7.69/2.40 % (3109278)Time elapsed: 0.073 s
% 7.69/2.40 % (3109278)Peak memory usage: 96 MB
% 7.69/2.40 % (3109278)Instructions burned: 134 (million)
% 7.69/2.40 % (3109243)Refutation found. Thanks to Tanya!
% 7.69/2.40 % SZS status ContradictoryAxioms for theBenchmark
% 7.69/2.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/2.61 % (3109243)------------------------------
% 0.19/2.61 % (3109243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/2.61 % (3109243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/2.61 % (3109243)CaDiCaL version: 2.1.3
% 0.19/2.61 % (3109243)Termination reason: Refutation
% 0.19/2.61 % (3109243)Time elapsed: 1.241 s
% 0.19/2.61 % (3109243)Peak memory usage: 224 MB
% 0.19/2.61 % (3109243)Instructions burned: 3777 (million)
% 0.19/2.61 % (3109243)------------------------------
% 0.19/2.61 % (3109243)------------------------------
% 0.19/2.61 % (3109238)Success in time 1.736 s
% 0.19/2.61 % Vampire exiting
%------------------------------------------------------------------------------