%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR097+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 : n017.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 09:42:58 AM UTC 2026
% Result : ContradictoryAxioms 14.19s 3.16s
% Output : Refutation 16.80s
% 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(f11185,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(f11186,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,[],[f11185]) ).
fof(f11187,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(ennf_transformation,[],[f3520]) ).
fof(f11188,plain,
! [X0] :
( ! [X1] : ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(flattening,[],[f11187]) ).
fof(f12437,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(f12438,plain,
! [X0,X1,X2] :
( X1 = s__UnionFn(X2,X0)
<=> sP10(X1,X2,X0) ),
inference(definition_folding,[],[f11186,f12437]) ).
fof(f12658,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,[],[f12437]) ).
fof(f12659,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,[],[f12658]) ).
fof(f12660,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))],[f12659]) ).
fof(f12661,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,[],[f12438]) ).
fof(f14824,plain,
! [X0] : s__instance(X0,s__Entity),
inference(cnf_transformation,[],[f501]) ).
fof(f18049,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X2,s__SetOrClass) ),
inference(cnf_transformation,[],[f12660]) ).
fof(f18050,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f12660]) ).
fof(f18051,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| s__instance(X1,s__SetOrClass) ),
inference(cnf_transformation,[],[f12660]) ).
fof(f18052,plain,
! [X2,X0,X1] :
( s__instance(sK157(X0,X1,X2),X0)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12660]) ).
fof(f18053,plain,
! [X2,X0,X1] :
( s__instance(sK156(X0,X1,X2),X2)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12660]) ).
fof(f18054,plain,
! [X2,X0,X1] :
( s__instance(sK155(X0,X1,X2),X1)
| sP10(X0,X1,X2) ),
inference(cnf_transformation,[],[f12660]) ).
fof(f18058,plain,
! [X2,X0,X1] :
( ~ sP10(X1,X2,X0)
| s__UnionFn(X2,X0) = X1 ),
inference(cnf_transformation,[],[f12661]) ).
fof(f18094,plain,
! [X0,X1] :
( ~ s__instance(X1,X0)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(cnf_transformation,[],[f11188]) ).
fof(f23269,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X0,X2) ),
inference(resolution,[],[f18094,f18054]) ).
fof(f23270,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass)
| sP10(X1,X2,X0) ),
inference(resolution,[],[f18094,f18053]) ).
fof(f23281,plain,
! [X2,X0,X1] :
( sP10(X1,X2,X0)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23270,f18049]) ).
fof(f23282,plain,
! [X2,X0,X1] :
( sP10(X1,X0,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23269,f18051]) ).
fof(f23283,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X0) = X2 ),
inference(resolution,[],[f23281,f18058]) ).
fof(f23289,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) ),
inference(resolution,[],[f18052,f18094]) ).
fof(f23291,plain,
! [X2,X3,X0,X1] :
( sP10(s__NullSet,X0,X1)
| s__UnionFn(X2,sK157(s__NullSet,X0,X1)) = X3 ),
inference(resolution,[],[f18052,f23283]) ).
fof(f23292,plain,
! [X2,X0,X1] :
( sP10(X0,X1,X2)
| ~ s__instance(X0,s__NullSet) ),
inference(forward_subsumption_resolution,[],[f23289,f18050]) ).
fof(f23293,plain,
! [X2,X0,X1] :
( ~ s__instance(X0,s__NullSet)
| s__UnionFn(X1,X2) = X0 ),
inference(resolution,[],[f23292,f18058]) ).
fof(f23294,plain,
! [X2,X3,X0,X1] :
( sP10(X2,s__NullSet,X3)
| s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3) ),
inference(resolution,[],[f23293,f18054]) ).
fof(f23297,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,sK157(s__NullSet,X1,X2)) = X3
| s__NullSet = s__UnionFn(X1,X2) ),
inference(resolution,[],[f23291,f18058]) ).
fof(f23299,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3)
| s__NullSet = s__UnionFn(X2,X3) ),
inference(superposition,[],[f23297,f23297]) ).
fof(f23304,plain,
! [X2,X3,X0,X4] :
( X0 = X4
| s__NullSet = s__UnionFn(X2,X3) ),
inference(duplicate_literal_removal,[],[f23299]) ).
fof(f23306,definition,
( spl504_69
<=> ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3) ),
introduced(definition,[new_symbols(definition,[spl504_69])],[avatar_definition]) ).
fof(f23307,plain,
( ! [X2,X3] : s__NullSet = s__UnionFn(X2,X3)
| ~ spl504_69 ),
inference(avatar_component_clause,[],[f23306]) ).
fof(f23309,definition,
( spl504_70
<=> ! [X4,X0] : X0 = X4 ),
introduced(definition,[new_symbols(definition,[spl504_70])],[avatar_definition]) ).
fof(f23310,plain,
( ! [X0,X4] : X0 = X4
| ~ spl504_70 ),
inference(avatar_component_clause,[],[f23309]) ).
fof(f23311,plain,
( spl504_69
| spl504_70 ),
inference(avatar_split_clause,[],[f23304,f23309,f23306]) ).
fof(f23319,plain,
! [X2,X3,X0,X1] :
( s__UnionFn(X0,X1) = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 ),
inference(resolution,[],[f23294,f18058]) ).
fof(f23320,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__UnionFn(s__NullSet,X3) = X2 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23319,f23307]) ).
fof(f23321,plain,
( ! [X2,X3] :
( s__NullSet = sK155(X2,s__NullSet,X3)
| s__NullSet = X2 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23320,f23307]) ).
fof(f23323,plain,
( ! [X0,X1] :
( s__instance(s__NullSet,s__NullSet)
| sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(superposition,[],[f18054,f23321]) ).
fof(f23324,plain,
( ! [X0,X1] :
( sP10(X0,s__NullSet,X1)
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(forward_subsumption_resolution,[],[f23323,f23282]) ).
fof(f23325,plain,
( ! [X0,X1] :
( s__NullSet = X0
| s__UnionFn(s__NullSet,X1) = X0 )
| ~ spl504_69 ),
inference(resolution,[],[f23324,f18058]) ).
fof(f23326,plain,
( ! [X0] :
( s__NullSet = X0
| s__NullSet = X0 )
| ~ spl504_69 ),
inference(forward_demodulation,[],[f23325,f23307]) ).
fof(f23327,plain,
( ! [X0] : s__NullSet = X0
| ~ spl504_69 ),
inference(duplicate_literal_removal,[],[f23326]) ).
fof(f23328,plain,
( ! [X0,X1] : X0 = X1
| ~ spl504_69 ),
inference(superposition,[],[f23327,f23327]) ).
fof(f23348,plain,
( spl504_70
| ~ spl504_69 ),
inference(avatar_split_clause,[],[f23328,f23306,f23309]) ).
fof(f23366,plain,
( ! [X0,X1] : s__instance(X1,X0)
| ~ spl504_70 ),
inference(superposition,[],[f14824,f23310]) ).
fof(f23383,plain,
( ! [X0] :
( ~ s__instance(X0,s__NullSet)
| ~ s__instance(X0,s__SetOrClass) )
| ~ spl504_70 ),
inference(resolution,[],[f23366,f18094]) ).
fof(f23387,plain,
( ! [X0] : ~ s__instance(X0,s__NullSet)
| ~ spl504_70 ),
inference(forward_subsumption_resolution,[],[f23383,f23366]) ).
fof(f23388,plain,
( $false
| ~ spl504_70 ),
inference(forward_subsumption_resolution,[],[f23387,f23366]) ).
fof(f23389,plain,
~ spl504_70,
inference(avatar_contradiction_clause,[],[f23388]) ).
cnf(s40,plain,
( spl504_69
| spl504_70 ),
inference(sat_conversion,[],[f23311]) ).
cnf(s42,plain,
( ~ spl504_69
| spl504_70 ),
inference(sat_conversion,[],[f23348]) ).
cnf(s43,plain,
~ spl504_70,
inference(sat_conversion,[],[f23389]) ).
cnf(s44,plain,
~ spl504_69,
inference(rat,[],[s42,s43]) ).
cnf(s46,plain,
$false,
inference(rat,[],[s40,s43,s44]) ).
fof(f23390,plain,
$false,
inference(avatar_sat_refutation,[],[s46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR097+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n017.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.22 % CPULimit : 300
% 0.08/0.22 % WCLimit : 300
% 0.08/0.22 % DateTime : Mon Sep 28 22:42:37 UTC 2026
% 0.08/0.22 % CPUTime :
% 0.08/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 11.77/2.57 % (4117004)Detected formulas, will run a generic FOF schedule.
% 11.77/2.57 % (4117010)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=2163310103:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 11.77/2.57 % (4117014)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1077153371:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 11.77/2.57 % (4117011)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=4040384913:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 11.77/2.57 % (4117012)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=1209548399:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 11.77/2.57 % (4117015)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1033451315:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 11.77/2.57 % (4117013)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=371068108:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 11.77/2.57 % (4117016)dis-21_1_sil=8000:lcm=predicate:random_seed=125364229: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)
% 11.77/2.57 % (4117013)Refutation not found, incomplete strategy
% 11.77/2.57 % (4117013)------------------------------
% 11.77/2.57 % (4117013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (4117013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (4117013)CaDiCaL version: 2.1.3
% 11.77/2.57 % (4117013)Termination reason: Refutation not found, incomplete strategy
% 11.77/2.57 % (4117013)Time elapsed: 0.022 s
% 11.77/2.57 % (4117013)Peak memory usage: 95 MB
% 11.77/2.57 % (4117013)Instructions burned: 38 (million)
% 11.77/2.57 % (4117014)Instruction limit reached!
% 11.77/2.57 % (4117014)------------------------------
% 11.77/2.57 % (4117014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (4117014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (4117014)CaDiCaL version: 2.1.3
% 11.77/2.57 % (4117014)Termination reason: Instruction limit
% 11.77/2.57 % (4117014)Termination phase: Saturation
% 11.77/2.57 % (4117014)Time elapsed: 0.069 s
% 11.77/2.57 % (4117014)Peak memory usage: 94 MB
% 11.77/2.57 % (4117014)Instructions burned: 120 (million)
% 11.77/2.57 % (4117015)Instruction limit reached!
% 11.77/2.57 % (4117015)------------------------------
% 11.77/2.57 % (4117015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (4117015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (4117015)CaDiCaL version: 2.1.3
% 11.77/2.57 % (4117015)Termination reason: Instruction limit
% 11.77/2.57 % (4117015)Termination phase: Preprocessing 3
% 11.77/2.57 % (4117015)Time elapsed: 0.077 s
% 11.77/2.57 % (4117015)Peak memory usage: 94 MB
% 11.77/2.57 % (4117015)Instructions burned: 141 (million)
% 11.77/2.57 % (4117016)Instruction limit reached!
% 11.77/2.57 % (4117016)------------------------------
% 11.77/2.57 % (4117016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (4117016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.77/2.57 % (4117016)CaDiCaL version: 2.1.3
% 11.77/2.57 % (4117016)Termination reason: Instruction limit
% 11.77/2.57 % (4117016)Termination phase: Property scanning
% 11.77/2.57 % (4117016)Time elapsed: 0.072 s
% 11.77/2.57 % (4117016)Peak memory usage: 94 MB
% 11.77/2.57 % (4117016)Instructions burned: 129 (million)
% 11.77/2.57 % (4117024)lrs+10_1_sil=8000:sp=occurrence:random_seed=2497581484:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 11.77/2.57 % (4117025)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1543662883:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 11.77/2.57 % (4117026)lrs+1011_1_sil=32000:sp=occurrence:random_seed=255666419:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 11.77/2.57 % (4117026)Refutation not found, incomplete strategy
% 11.77/2.57 % (4117026)------------------------------
% 11.77/2.57 % (4117026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.77/2.57 % (4117026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117026)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117026)Termination reason: Refutation not found, incomplete strategy
% 14.19/3.16 % (4117026)Time elapsed: 0.020 s
% 14.19/3.16 % (4117026)Peak memory usage: 94 MB
% 14.19/3.16 % (4117026)Instructions burned: 34 (million)
% 14.19/3.16 % (4117025)Refutation not found, incomplete strategy
% 14.19/3.16 % (4117025)------------------------------
% 14.19/3.16 % (4117025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117025)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117025)Termination reason: Refutation not found, incomplete strategy
% 14.19/3.16 % (4117025)Time elapsed: 0.038 s
% 14.19/3.16 % (4117025)Peak memory usage: 94 MB
% 14.19/3.16 % (4117025)Instructions burned: 82 (million)
% 14.19/3.16 % (4117013)------------------------------
% 14.19/3.16 % (4117013)------------------------------
% 14.19/3.16 % (4117024)Instruction limit reached!
% 14.19/3.16 % (4117024)------------------------------
% 14.19/3.16 % (4117024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117024)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117024)Termination reason: Instruction limit
% 14.19/3.16 % (4117024)Termination phase: Saturation
% 14.19/3.16 % (4117024)Time elapsed: 0.152 s
% 14.19/3.16 % (4117024)Peak memory usage: 96 MB
% 14.19/3.16 % (4117024)Instructions burned: 286 (million)
% 14.19/3.16 % (4117030)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=949946010:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 14.19/3.16 % (4117026)------------------------------
% 14.19/3.16 % (4117026)------------------------------
% 14.19/3.16 % (4117025)------------------------------
% 14.19/3.16 % (4117025)------------------------------
% 14.19/3.16 % (4117031)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3116747883:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.19/3.16 % (4117031)Refutation not found, incomplete strategy
% 14.19/3.16 % (4117031)------------------------------
% 14.19/3.16 % (4117031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117031)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117031)Termination reason: Refutation not found, incomplete strategy
% 14.19/3.16 % (4117031)Time elapsed: 0.031 s
% 14.19/3.16 % (4117031)Peak memory usage: 95 MB
% 14.19/3.16 % (4117031)Instructions burned: 55 (million)
% 14.19/3.16 % (4117030)Instruction limit reached!
% 14.19/3.16 % (4117030)------------------------------
% 14.19/3.16 % (4117030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117030)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117030)Termination reason: Instruction limit
% 14.19/3.16 % (4117030)Termination phase: Saturation
% 14.19/3.16 % (4117030)Time elapsed: 0.132 s
% 14.19/3.16 % (4117030)Peak memory usage: 99 MB
% 14.19/3.16 % (4117030)Instructions burned: 248 (million)
% 14.19/3.16 % (4117034)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=951123108:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.19/3.16 % (4117033)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1618265579:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 14.19/3.16 % (4117034)Instruction limit reached!
% 14.19/3.16 % (4117034)------------------------------
% 14.19/3.16 % (4117034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117034)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117034)Termination reason: Instruction limit
% 14.19/3.16 % (4117034)Termination phase: Saturation
% 14.19/3.16 % (4117034)Time elapsed: 0.065 s
% 14.19/3.16 % (4117034)Peak memory usage: 96 MB
% 14.19/3.16 % (4117034)Instructions burned: 114 (million)
% 14.19/3.16 % (4117036)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1441691067:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 14.19/3.16 % (4117031)------------------------------
% 14.19/3.16 % (4117031)------------------------------
% 14.19/3.16 % (4117036)Instruction limit reached!
% 14.19/3.16 % (4117036)------------------------------
% 14.19/3.16 % (4117036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117036)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117036)Termination reason: Instruction limit
% 14.19/3.16 % (4117036)Termination phase: Property scanning
% 14.19/3.16 % (4117036)Time elapsed: 0.078 s
% 14.19/3.16 % (4117036)Peak memory usage: 97 MB
% 14.19/3.16 % (4117036)Instructions burned: 129 (million)
% 14.19/3.16 % (4117039)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1039824234:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 14.19/3.16 % (4117039)Instruction limit reached!
% 14.19/3.16 % (4117039)------------------------------
% 14.19/3.16 % (4117039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117039)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117039)Termination reason: Instruction limit
% 14.19/3.16 % (4117039)Termination phase: SInE selection
% 14.19/3.16 % (4117039)Time elapsed: 0.052 s
% 14.19/3.16 % (4117039)Peak memory usage: 91 MB
% 14.19/3.16 % (4117039)Instructions burned: 115 (million)
% 14.19/3.16 % (4117042)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2000735137:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 14.19/3.16 % (4117041)lrs+10_1_sil=8000:sp=occurrence:random_seed=107502218:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 14.19/3.16 % (4117044)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2574815371:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 14.19/3.16 % (4117042)Instruction limit reached!
% 14.19/3.16 % (4117042)------------------------------
% 14.19/3.16 % (4117042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117042)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117042)Termination reason: Instruction limit
% 14.19/3.16 % (4117042)Termination phase: Saturation
% 14.19/3.16 % (4117042)Time elapsed: 0.170 s
% 14.19/3.16 % (4117042)Peak memory usage: 95 MB
% 14.19/3.16 % (4117042)Instructions burned: 437 (million)
% 14.19/3.16 % (4117048)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2948057226:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2985 on theBenchmark for (2985ds/134Mi)
% 14.19/3.16 % (4117048)Instruction limit reached!
% 14.19/3.16 % (4117048)------------------------------
% 14.19/3.16 % (4117048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117048)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117048)Termination reason: Instruction limit
% 14.19/3.16 % (4117048)Termination phase: Saturation
% 14.19/3.16 % (4117048)Time elapsed: 0.069 s
% 14.19/3.16 % (4117048)Peak memory usage: 96 MB
% 14.19/3.16 % (4117048)Instructions burned: 136 (million)
% 14.19/3.16 % (4117050)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=198423529:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 14.19/3.16 % (4117041)Instruction limit reached!
% 14.19/3.16 % (4117041)------------------------------
% 14.19/3.16 % (4117041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117041)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117041)Termination reason: Instruction limit
% 14.19/3.16 % (4117041)Termination phase: Saturation
% 14.19/3.16 % (4117041)Time elapsed: 0.494 s
% 14.19/3.16 % (4117041)Peak memory usage: 104 MB
% 14.19/3.16 % (4117041)Instructions burned: 907 (million)
% 14.19/3.16 % (4117050)Refutation not found, incomplete strategy
% 14.19/3.16 % (4117050)------------------------------
% 14.19/3.16 % (4117050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117050)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117050)Termination reason: Refutation not found, incomplete strategy
% 14.19/3.16 % (4117050)Time elapsed: 0.087 s
% 14.19/3.16 % (4117050)Peak memory usage: 97 MB
% 14.19/3.16 % (4117050)Instructions burned: 154 (million)
% 14.19/3.16 % (4117052)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1403618733:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 14.19/3.16 % (4117050)------------------------------
% 14.19/3.16 % (4117050)------------------------------
% 14.19/3.16 % (4117010)First to succeed.
% 14.19/3.16 % (4117010)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4117004"
% 14.19/3.16 % (4117054)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=3898614469:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2979 on theBenchmark for (2979ds/125Mi)
% 14.19/3.16 % (4117054)Instruction limit reached!
% 14.19/3.16 % (4117054)------------------------------
% 14.19/3.16 % (4117054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117054)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117054)Termination reason: Instruction limit
% 14.19/3.16 % (4117054)Termination phase: Saturation
% 14.19/3.16 % (4117054)Time elapsed: 0.061 s
% 14.19/3.16 % (4117054)Peak memory usage: 95 MB
% 14.19/3.16 % (4117054)Instructions burned: 125 (million)
% 14.19/3.16 % (4117033)Instruction limit reached!
% 14.19/3.16 % (4117033)------------------------------
% 14.19/3.16 % (4117033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.19/3.16 % (4117033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.19/3.16 % (4117033)CaDiCaL version: 2.1.3
% 14.19/3.16 % (4117033)Termination reason: Instruction limit
% 14.19/3.16 % (4117033)Termination phase: Saturation
% 14.19/3.16 % (4117033)Time elapsed: 1.393 s
% 14.19/3.16 % (4117033)Peak memory usage: 204 MB
% 14.19/3.16 % (4117033)Instructions burned: 2351 (million)
% 14.19/3.16 % (4117056)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3464990421:i=134:gtgl=5:slsql=off:gtg=exists_sym_2977 on theBenchmark for (2977ds/134Mi)
% 14.19/3.16 % (4117010)Refutation found. Thanks to Tanya!
% 14.19/3.16 % SZS status ContradictoryAxioms for theBenchmark
% 14.19/3.16 % SZS output start Proof for theBenchmark
% See solution above
% 16.80/3.35 % (4117010)------------------------------
% 16.80/3.35 % (4117010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.80/3.35 % (4117010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/3.35 % (4117010)CaDiCaL version: 2.1.3
% 16.80/3.35 % (4117010)Termination reason: Refutation
% 16.80/3.35 % (4117010)Time elapsed: 1.866 s
% 16.80/3.35 % (4117010)Peak memory usage: 221 MB
% 16.80/3.35 % (4117010)Instructions burned: 3766 (million)
% 16.80/3.35 % (4117010)------------------------------
% 16.80/3.35 % (4117010)------------------------------
% 16.80/3.35 % (4117004)Success in time 2.462 s
% 16.80/3.35 % Vampire exiting
%------------------------------------------------------------------------------