%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR088+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 : n010.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 16.15s 3.54s
% Output : Refutation 19.77s
% 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(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(f14818,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f501]) ).
fof(f18043,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X2,s__SetOrClass) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18044,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18045,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18046,plain,
! [X2,X0,X1] :
( s__instance(sK157(X0,X1,X2),X0)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18047,plain,
! [X2,X0,X1] :
( s__instance(sK156(X0,X1,X2),X2)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18048,plain,
! [X2,X0,X1] :
( s__instance(sK155(X0,X1,X2),X1)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12654]) ).
fof(f18052,plain,
! [X2,X0,X1] :
( ~ sP10(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f12655]) ).
fof(f18088,plain,
! [X0,X1] :
( ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f11182]) ).
fof(f23257,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X0,X2) ),
inference(resolution,[],[f18088,f18048]) ).
fof(f23258,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X2,X0) ),
inference(resolution,[],[f18088,f18047]) ).
fof(f23269,plain,
! [X2,X0,X1] :
( sP10(X1,X2,X0)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23258,f18043]) ).
fof(f23270,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23257,f18045]) ).
fof(f23271,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X0) = X2 ),
inference(resolution,[],[f23269,f18052]) ).
fof(f23277,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(resolution,[],[f18046,f18088]) ).
fof(f23279,plain,
! [X2,X3,X0,X1] :
( sP10(s__NullSet,X0,X1)
| s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
inference(resolution,[],[f18046,f23271]) ).
fof(f23280,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23277,f18044]) ).
fof(f23281,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X2) = X0 ),
inference(resolution,[],[f23280,f18052]) ).
fof(f23282,plain,
! [X2,X3,X0,X1] :
( sP10(X2,s__NullSet,X3)
| s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3) ),
inference(resolution,[],[f23281,f18048]) ).
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,f18052]) ).
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,
( spl504_69
<=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl504_69])],[avatar_definition]) ).
fof(f23295,plain,
( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
| ~ spl504_69 ),
inference(avatar_component_clause,[],[f23294]) ).
fof(f23297,definition,
( spl504_70
<=> ! [X4,X0] : X0 = X4 ),
introduced(definition,[new_symbols(definition,[spl504_70])],[avatar_definition]) ).
fof(f23298,plain,
( ! [X0,X4] : X0 = X4
| ~ spl504_70 ),
inference(avatar_component_clause,[],[f23297]) ).
fof(f23299,plain,
( spl504_69
| spl504_70 ),
inference(avatar_split_clause,[],[f23292,f23297,f23294]) ).
fof(f23307,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(resolution,[],[f23282,f18052]) ).
fof(f23308,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23307,f23295]) ).
fof(f23309,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__NullSet = X2 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23308,f23295]) ).
fof(f23311,plain,
( ! [X0,X1] :
( s__instance(s__NullSet,s__NullSet)
| sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(superposition,[],[f18048,f23309]) ).
fof(f23312,plain,
( ! [X0,X1] :
( sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(forward_subsumption_resolution,[],[f23311,f23270]) ).
fof(f23313,plain,
( ! [X0,X1] :
( s__NullSet = X0
| s__UnionFn(s__NullSet,X1) = X0 )
| ~ spl504_69 ),
inference(resolution,[],[f23312,f18052]) ).
fof(f23314,plain,
( ! [X0] :
( s__NullSet = X0
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23313,f23295]) ).
fof(f23315,plain,
( ! [X0] : s__NullSet = X0
| ~ spl504_69 ),
inference(duplicate_literal_removal,[],[f23314]) ).
fof(f23316,plain,
( ! [X0,X1] : X0 = X1
| ~ spl504_69 ),
inference(superposition,[],[f23315,f23315]) ).
fof(f23336,plain,
( spl504_70
| ~ spl504_69 ),
inference(avatar_split_clause,[],[f23316,f23294,f23297]) ).
fof(f23354,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl504_70 ),
inference(superposition,[],[f14818,f23298]) ).
fof(f23371,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl504_70 ),
inference(resolution,[],[f23354,f18088]) ).
fof(f23375,plain,
( ! [X0] : ~ s__instance(X0,s__NullSet)
| ~ spl504_70 ),
inference(forward_subsumption_resolution,[],[f23371,f23354]) ).
fof(f23376,plain,
( $false
| ~ spl504_70 ),
inference(forward_subsumption_resolution,[],[f23375,f23354]) ).
fof(f23377,plain,
~ spl504_70,
inference(avatar_contradiction_clause,[],[f23376]) ).
cnf(s40,plain,
( spl504_69
| spl504_70 ),
inference(sat_conversion,[],[f23299]) ).
cnf(s42,plain,
( ~ spl504_69
| spl504_70 ),
inference(sat_conversion,[],[f23336]) ).
cnf(s43,plain,
~ spl504_70,
inference(sat_conversion,[],[f23377]) ).
cnf(s44,plain,
~ spl504_69,
inference(rat,[],[s42,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s40,s43,s44]) ).
fof(f23378,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR088+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n010.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:38:48 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 11.92/2.58 % (2440239)Detected formulas, will run a generic FOF schedule.
% 11.92/2.58 % (2440249)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3970549655:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 11.92/2.58 % (2440247)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1649646615:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 11.92/2.58 % (2440245)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=3138904436:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 11.92/2.58 % (2440244)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=1537310155:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 11.92/2.58 % (2440246)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=1553197385:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 11.92/2.58 % (2440248)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=919666149:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 11.92/2.58 % (2440249)Instruction limit reached!
% 11.92/2.58 % (2440249)------------------------------
% 11.92/2.58 % (2440249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.58 % (2440249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.58 % (2440249)CaDiCaL version: 2.1.3
% 11.92/2.58 % (2440249)Termination reason: Instruction limit
% 11.92/2.58 % (2440249)Termination phase: Preprocessing 3
% 11.92/2.58 % (2440249)Time elapsed: 0.046 s
% 11.92/2.58 % (2440249)Peak memory usage: 94 MB
% 11.92/2.58 % (2440249)Instructions burned: 141 (million)
% 11.92/2.58 % (2440250)dis-21_1_sil=8000:lcm=predicate:random_seed=3312365518: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)
% 11.92/2.58 % (2440247)Refutation not found, incomplete strategy
% 11.92/2.58 % (2440247)------------------------------
% 11.92/2.58 % (2440247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.58 % (2440247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.58 % (2440247)CaDiCaL version: 2.1.3
% 11.92/2.58 % (2440247)Termination reason: Refutation not found, incomplete strategy
% 11.92/2.58 % (2440247)Time elapsed: 0.023 s
% 11.92/2.58 % (2440247)Peak memory usage: 95 MB
% 11.92/2.58 % (2440247)Instructions burned: 38 (million)
% 11.92/2.58 % (2440248)Instruction limit reached!
% 11.92/2.58 % (2440248)------------------------------
% 11.92/2.58 % (2440248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.58 % (2440248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.58 % (2440248)CaDiCaL version: 2.1.3
% 11.92/2.58 % (2440248)Termination reason: Instruction limit
% 11.92/2.58 % (2440248)Termination phase: Saturation
% 11.92/2.58 % (2440248)Time elapsed: 0.069 s
% 11.92/2.58 % (2440248)Peak memory usage: 94 MB
% 11.92/2.58 % (2440248)Instructions burned: 119 (million)
% 11.92/2.58 % (2440250)Instruction limit reached!
% 11.92/2.58 % (2440250)------------------------------
% 11.92/2.58 % (2440250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.58 % (2440250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.58 % (2440250)CaDiCaL version: 2.1.3
% 11.92/2.58 % (2440250)Termination reason: Instruction limit
% 11.92/2.58 % (2440250)Termination phase: Property scanning
% 11.92/2.58 % (2440250)Time elapsed: 0.076 s
% 11.92/2.58 % (2440250)Peak memory usage: 94 MB
% 11.92/2.58 % (2440250)Instructions burned: 129 (million)
% 11.92/2.58 % (2440257)lrs+10_1_sil=8000:sp=occurrence:random_seed=266989955:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 11.92/2.58 % (2440257)Instruction limit reached!
% 11.92/2.58 % (2440257)------------------------------
% 11.92/2.58 % (2440257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.92/2.58 % (2440257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/2.58 % (2440257)CaDiCaL version: 2.1.3
% 11.92/2.58 % (2440257)Termination reason: Instruction limit
% 11.92/2.58 % (2440257)Termination phase: Saturation
% 11.92/2.58 % (2440257)Time elapsed: 0.094 s
% 11.92/2.58 % (2440257)Peak memory usage: 97 MB
% 11.92/2.58 % (2440257)Instructions burned: 289 (million)
% 16.15/3.54 % (2440259)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2799422524:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 16.15/3.54 % (2440260)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3977943940:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.15/3.54 % (2440247)------------------------------
% 16.15/3.54 % (2440247)------------------------------
% 16.15/3.54 % (2440260)Refutation not found, incomplete strategy
% 16.15/3.54 % (2440260)------------------------------
% 16.15/3.54 % (2440260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440260)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440260)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.54 % (2440260)Time elapsed: 0.022 s
% 16.15/3.54 % (2440260)Peak memory usage: 95 MB
% 16.15/3.54 % (2440260)Instructions burned: 35 (million)
% 16.15/3.54 % (2440259)Instruction limit reached!
% 16.15/3.54 % (2440259)------------------------------
% 16.15/3.54 % (2440259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440259)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440259)Termination reason: Instruction limit
% 16.15/3.54 % (2440259)Termination phase: Saturation
% 16.15/3.54 % (2440259)Time elapsed: 0.081 s
% 16.15/3.54 % (2440259)Peak memory usage: 95 MB
% 16.15/3.54 % (2440259)Instructions burned: 159 (million)
% 16.15/3.54 % (2440263)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=619670030:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 16.15/3.54 % (2440263)Instruction limit reached!
% 16.15/3.54 % (2440263)------------------------------
% 16.15/3.54 % (2440263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440263)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440263)Termination reason: Instruction limit
% 16.15/3.54 % (2440263)Termination phase: Saturation
% 16.15/3.54 % (2440263)Time elapsed: 0.072 s
% 16.15/3.54 % (2440263)Peak memory usage: 99 MB
% 16.15/3.54 % (2440263)Instructions burned: 250 (million)
% 16.15/3.54 % (2440265)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=20552522:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 16.15/3.54 % (2440265)Refutation not found, incomplete strategy
% 16.15/3.54 % (2440265)------------------------------
% 16.15/3.54 % (2440265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440265)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440265)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.54 % (2440265)Time elapsed: 0.035 s
% 16.15/3.54 % (2440265)Peak memory usage: 95 MB
% 16.15/3.54 % (2440265)Instructions burned: 63 (million)
% 16.15/3.54 % (2440266)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1812928689:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 16.15/3.54 % (2440260)------------------------------
% 16.15/3.54 % (2440260)------------------------------
% 16.15/3.54 % (2440269)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=166275969:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 16.15/3.54 % (2440269)Instruction limit reached!
% 16.15/3.54 % (2440269)------------------------------
% 16.15/3.54 % (2440269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440269)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440269)Termination reason: Instruction limit
% 16.15/3.54 % (2440269)Termination phase: Saturation
% 16.15/3.54 % (2440269)Time elapsed: 0.036 s
% 16.15/3.54 % (2440269)Peak memory usage: 96 MB
% 16.15/3.54 % (2440269)Instructions burned: 114 (million)
% 16.15/3.54 % (2440271)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1934758754:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 16.15/3.54 % (2440265)------------------------------
% 16.15/3.54 % (2440265)------------------------------
% 16.15/3.54 % (2440273)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1055009570:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 16.15/3.54 % (2440273)Instruction limit reached!
% 16.15/3.54 % (2440273)------------------------------
% 16.15/3.54 % (2440273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440273)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440273)Termination reason: Instruction limit
% 16.15/3.54 % (2440273)Termination phase: SInE selection
% 16.15/3.54 % (2440273)Time elapsed: 0.030 s
% 16.15/3.54 % (2440273)Peak memory usage: 91 MB
% 16.15/3.54 % (2440273)Instructions burned: 117 (million)
% 16.15/3.54 % (2440271)Instruction limit reached!
% 16.15/3.54 % (2440271)------------------------------
% 16.15/3.54 % (2440271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440271)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440271)Termination reason: Instruction limit
% 16.15/3.54 % (2440271)Termination phase: Property scanning
% 16.15/3.54 % (2440271)Time elapsed: 0.079 s
% 16.15/3.54 % (2440271)Peak memory usage: 97 MB
% 16.15/3.54 % (2440271)Instructions burned: 129 (million)
% 16.15/3.54 % (2440276)lrs+10_1_sil=8000:sp=occurrence:random_seed=804226460:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 16.15/3.54 % (2440277)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3752659268:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 16.15/3.54 % (2440277)Refutation not found, incomplete strategy
% 16.15/3.54 % (2440277)------------------------------
% 16.15/3.54 % (2440277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440277)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440277)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.54 % (2440277)Time elapsed: 0.017 s
% 16.15/3.54 % (2440277)Peak memory usage: 95 MB
% 16.15/3.54 % (2440277)Instructions burned: 55 (million)
% 16.15/3.54 % (2440278)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4067348327:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 16.15/3.54 % (2440277)------------------------------
% 16.15/3.54 % (2440277)------------------------------
% 16.15/3.54 % (2440282)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=691104362:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 16.15/3.54 % (2440282)Instruction limit reached!
% 16.15/3.54 % (2440282)------------------------------
% 16.15/3.54 % (2440282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440282)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440282)Termination reason: Instruction limit
% 16.15/3.54 % (2440282)Termination phase: Saturation
% 16.15/3.54 % (2440282)Time elapsed: 0.039 s
% 16.15/3.54 % (2440282)Peak memory usage: 96 MB
% 16.15/3.54 % (2440282)Instructions burned: 137 (million)
% 16.15/3.54 % (2440284)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=18114457:st=8:i=592:sd=3:ep=RST:ss=axioms_2984 on theBenchmark for (2984ds/592Mi)
% 16.15/3.54 % (2440276)Instruction limit reached!
% 16.15/3.54 % (2440276)------------------------------
% 16.15/3.54 % (2440276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440276)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440276)Termination reason: Instruction limit
% 16.15/3.54 % (2440276)Termination phase: Saturation
% 16.15/3.54 % (2440276)Time elapsed: 0.523 s
% 16.15/3.54 % (2440276)Peak memory usage: 103 MB
% 16.15/3.54 % (2440276)Instructions burned: 907 (million)
% 16.15/3.54 % (2440284)Refutation not found, incomplete strategy
% 16.15/3.54 % (2440284)------------------------------
% 16.15/3.54 % (2440284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440284)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440284)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.54 % (2440284)Time elapsed: 0.054 s
% 16.15/3.54 % (2440284)Peak memory usage: 97 MB
% 16.15/3.54 % (2440284)Instructions burned: 178 (million)
% 16.15/3.54 % (2440284)------------------------------
% 16.15/3.54 % (2440284)------------------------------
% 16.15/3.54 % (2440286)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=448759576:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 16.15/3.54 % (2440288)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=2984744452:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/125Mi)
% 16.15/3.54 % (2440288)Instruction limit reached!
% 16.15/3.54 % (2440288)------------------------------
% 16.15/3.54 % (2440288)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440288)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440288)Termination reason: Instruction limit
% 16.15/3.54 % (2440288)Termination phase: Saturation
% 16.15/3.54 % (2440288)Time elapsed: 0.033 s
% 16.15/3.54 % (2440288)Peak memory usage: 95 MB
% 16.15/3.54 % (2440288)Instructions burned: 125 (million)
% 16.15/3.54 % (2440290)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2684000833:i=134:gtgl=5:slsql=off:gtg=exists_sym_2979 on theBenchmark for (2979ds/134Mi)
% 16.15/3.54 % (2440290)Instruction limit reached!
% 16.15/3.54 % (2440290)------------------------------
% 16.15/3.54 % (2440290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440290)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440290)Termination reason: Instruction limit
% 16.15/3.54 % (2440290)Termination phase: SInE selection
% 16.15/3.54 % (2440290)Time elapsed: 0.034 s
% 16.15/3.54 % (2440290)Peak memory usage: 92 MB
% 16.15/3.54 % (2440290)Instructions burned: 137 (million)
% 16.15/3.54 % (2440266)Instruction limit reached!
% 16.15/3.54 % (2440266)------------------------------
% 16.15/3.54 % (2440266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440266)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440266)Termination reason: Instruction limit
% 16.15/3.54 % (2440266)Termination phase: Saturation
% 16.15/3.54 % (2440266)Time elapsed: 1.425 s
% 16.15/3.54 % (2440266)Peak memory usage: 207 MB
% 16.15/3.54 % (2440266)Instructions burned: 2352 (million)
% 16.15/3.54 % (2440292)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=539817508:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/141Mi)
% 16.15/3.54 % (2440292)Instruction limit reached!
% 16.15/3.54 % (2440292)------------------------------
% 16.15/3.54 % (2440292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440292)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440292)Termination reason: Instruction limit
% 16.15/3.54 % (2440292)Termination phase: Saturation
% 16.15/3.54 % (2440292)Time elapsed: 0.041 s
% 16.15/3.54 % (2440292)Peak memory usage: 97 MB
% 16.15/3.54 % (2440292)Instructions burned: 145 (million)
% 16.15/3.54 % (2440293)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3754655292:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2977 on theBenchmark for (2977ds/431Mi)
% 16.15/3.54 % (2440293)Refutation not found, incomplete strategy
% 16.15/3.54 % (2440293)------------------------------
% 16.15/3.54 % (2440293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.15/3.54 % (2440293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.15/3.54 % (2440293)CaDiCaL version: 2.1.3
% 16.15/3.54 % (2440293)Termination reason: Refutation not found, incomplete strategy
% 16.15/3.54 % (2440293)Time elapsed: 0.022 s
% 16.15/3.54 % (2440293)Peak memory usage: 94 MB
% 16.15/3.54 % (2440293)Instructions burned: 35 (million)
% 16.15/3.54 % (2440295)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=1135335114:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 16.15/3.54 % (2440244)First to succeed.
% 16.15/3.54 % (2440244)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2440239"
% 16.15/3.54 % (2440293)------------------------------
% 16.15/3.54 % (2440293)------------------------------
% 16.15/3.54 % (2440244)Refutation found. Thanks to Tanya!
% 16.15/3.54 % SZS status ContradictoryAxioms for theBenchmark
% 16.15/3.54 % SZS output start Proof for theBenchmark
% See solution above
% 19.77/3.73 % (2440244)------------------------------
% 19.77/3.73 % (2440244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.77/3.73 % (2440244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.77/3.73 % (2440244)CaDiCaL version: 2.1.3
% 19.77/3.73 % (2440244)Termination reason: Refutation
% 19.77/3.73 % (2440244)Time elapsed: 2.229 s
% 19.77/3.73 % (2440244)Peak memory usage: 220 MB
% 19.77/3.73 % (2440244)Instructions burned: 3766 (million)
% 19.77/3.73 % (2440244)------------------------------
% 19.77/3.73 % (2440244)------------------------------
% 19.77/3.73 % (2440239)Success in time 2.871 s
% 19.77/3.73 % Vampire exiting
%------------------------------------------------------------------------------