%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV612+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 12:59:33 PM UTC 2026
% Result : Theorem 6.59s 1.72s
% Output : Refutation 6.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 64 ( 21 unt; 2 def)
% Number of atoms : 142 ( 2 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 134 ( 56 ~; 61 |; 3 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 53 ( 0 sgn 50 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f580,axiom,
! [X0,X1] :
( c_24__type__102___24t(X0,X1)
<=> ! [X2] :
( t(X2,X0)
=> cCoq_2eInit_2eDatatypes_2enat___24t(happ(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_type_102') ).
fof(f609,axiom,
! [X0,X1] :
( c_24__type__1386___24t(X0,X1)
<=> ! [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X2)
=> t(happ(X1,X2),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_type_1386') ).
fof(f1253,axiom,
cType___24t(cCoq_2eInit_2eDatatypes_2enat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.nat') ).
fof(f1885,axiom,
! [X0] :
( cType___24t(X0)
=> ! [X1] :
( c_24__type__102___24t(X0,X1)
=> ( cZornsLemma_2eFunctionProperties_2einjective___24a3(X0,cCoq_2eInit_2eDatatypes_2enat,X1)
=> cZornsLemma_2eCountableTypes_2eCountableT___24a1(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ZornsLemma.CountableTypes.intro_nat_injection') ).
fof(f1894,axiom,
! [X0] :
( cType___24t(X0)
=> ( ~ p(cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(X0))
=> ? [X1] :
( c_24__type__1386___24t(X0,X1)
& cZornsLemma_2eFunctionProperties_2einjective___24a3(cCoq_2eInit_2eDatatypes_2enat,X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ZornsLemma.InfiniteTypes.infinite_nat_inj') ).
fof(f1895,axiom,
~ p(cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(cCoq_2eInit_2eDatatypes_2enat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ZornsLemma.InfiniteTypes.nat_infinite') ).
fof(f1973,axiom,
! [X0] : happ(cZornsLemma_2eFiniteTypes_2eFiniteT,X0) = cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$adef_ZornsLemma.FiniteTypes.FiniteT_$a1') ).
fof(f2749,axiom,
! [X0] :
( cCoq_2eInit_2eDatatypes_2enat___24t(X0)
<=> t(X0,cCoq_2eInit_2eDatatypes_2enat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','$tdef_Coq.Init.Datatypes.nat') ).
fof(f2853,conjecture,
cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).
fof(f2854,negated_conjecture,
~ cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat),
inference(negated_conjecture,[status(cth)],[f2853]) ).
fof(f2881,plain,
~ cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat),
inference(flattening,[],[f2854]) ).
fof(f3555,plain,
! [X0,X1] :
( c_24__type__102___24t(X0,X1)
<=> ! [X2] :
( cCoq_2eInit_2eDatatypes_2enat___24t(happ(X1,X2))
| ~ t(X2,X0) ) ),
inference(ennf_transformation,[],[f580]) ).
fof(f3586,plain,
! [X0,X1] :
( c_24__type__1386___24t(X0,X1)
<=> ! [X2] :
( t(happ(X1,X2),X0)
| ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2) ) ),
inference(ennf_transformation,[],[f609]) ).
fof(f4344,plain,
! [X0] :
( ! [X1] :
( cZornsLemma_2eCountableTypes_2eCountableT___24a1(X0)
| ~ cZornsLemma_2eFunctionProperties_2einjective___24a3(X0,cCoq_2eInit_2eDatatypes_2enat,X1)
| ~ c_24__type__102___24t(X0,X1) )
| ~ cType___24t(X0) ),
inference(ennf_transformation,[],[f1885]) ).
fof(f4345,plain,
! [X0] :
( ! [X1] :
( cZornsLemma_2eCountableTypes_2eCountableT___24a1(X0)
| ~ cZornsLemma_2eFunctionProperties_2einjective___24a3(X0,cCoq_2eInit_2eDatatypes_2enat,X1)
| ~ c_24__type__102___24t(X0,X1) )
| ~ cType___24t(X0) ),
inference(flattening,[],[f4344]) ).
fof(f4358,plain,
! [X0] :
( ? [X1] :
( c_24__type__1386___24t(X0,X1)
& cZornsLemma_2eFunctionProperties_2einjective___24a3(cCoq_2eInit_2eDatatypes_2enat,X0,X1) )
| p(cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(X0))
| ~ cType___24t(X0) ),
inference(ennf_transformation,[],[f1894]) ).
fof(f4359,plain,
! [X0] :
( ? [X1] :
( c_24__type__1386___24t(X0,X1)
& cZornsLemma_2eFunctionProperties_2einjective___24a3(cCoq_2eInit_2eDatatypes_2enat,X0,X1) )
| p(cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(X0))
| ~ cType___24t(X0) ),
inference(flattening,[],[f4358]) ).
fof(f8782,plain,
! [X0,X1] :
( t(sK956(X0,X1),X0)
| c_24__type__102___24t(X0,X1) ),
inference(cnf_transformation,[],[f3555]) ).
fof(f8783,plain,
! [X0,X1] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(happ(X1,sK956(X0,X1)))
| c_24__type__102___24t(X0,X1) ),
inference(cnf_transformation,[],[f3555]) ).
fof(f8904,plain,
! [X2,X0,X1] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X2)
| t(happ(X1,X2),X0)
| ~ c_24__type__1386___24t(X0,X1) ),
inference(cnf_transformation,[],[f3586]) ).
fof(f10541,plain,
cType___24t(cCoq_2eInit_2eDatatypes_2enat),
inference(cnf_transformation,[],[f1253]) ).
fof(f11314,plain,
! [X0,X1] :
( ~ cType___24t(X0)
| ~ c_24__type__102___24t(X0,X1)
| ~ cZornsLemma_2eFunctionProperties_2einjective___24a3(X0,cCoq_2eInit_2eDatatypes_2enat,X1)
| cZornsLemma_2eCountableTypes_2eCountableT___24a1(X0) ),
inference(cnf_transformation,[],[f4345]) ).
fof(f11356,plain,
! [X0] :
( ~ cType___24t(X0)
| p(cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(X0))
| cZornsLemma_2eFunctionProperties_2einjective___24a3(cCoq_2eInit_2eDatatypes_2enat,X0,sK1753(X0)) ),
inference(cnf_transformation,[],[f4359]) ).
fof(f11357,plain,
! [X0] :
( ~ cType___24t(X0)
| p(cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(X0))
| c_24__type__1386___24t(X0,sK1753(X0)) ),
inference(cnf_transformation,[],[f4359]) ).
fof(f11358,plain,
~ p(cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(cCoq_2eInit_2eDatatypes_2enat)),
inference(cnf_transformation,[],[f1895]) ).
fof(f11451,plain,
! [X0] : cZornsLemma_2eFiniteTypes_2eFiniteT___24a1(X0) = happ(cZornsLemma_2eFiniteTypes_2eFiniteT,X0),
inference(cnf_transformation,[],[f1973]) ).
fof(f12612,plain,
! [X0] :
( ~ t(X0,cCoq_2eInit_2eDatatypes_2enat)
| cCoq_2eInit_2eDatatypes_2enat___24t(X0) ),
inference(cnf_transformation,[],[f2749]) ).
fof(f12816,plain,
~ cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat),
inference(cnf_transformation,[],[f2881]) ).
fof(f16328,plain,
! [X0] :
( ~ cType___24t(X0)
| p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,X0))
| c_24__type__1386___24t(X0,sK1753(X0)) ),
inference(definition_unfolding,[],[f11357,f11451]) ).
fof(f16329,plain,
! [X0] :
( ~ cType___24t(X0)
| p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,X0))
| cZornsLemma_2eFunctionProperties_2einjective___24a3(cCoq_2eInit_2eDatatypes_2enat,X0,sK1753(X0)) ),
inference(definition_unfolding,[],[f11356,f11451]) ).
fof(f16330,plain,
~ p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,cCoq_2eInit_2eDatatypes_2enat)),
inference(definition_unfolding,[],[f11358,f11451]) ).
fof(f19336,plain,
! [X0,X1] :
( ~ c_24__type__102___24t(X0,X1)
| cCoq_2eInit_2eDatatypes_2enat___24t(happ(X1,sK956(X0,X1))) ),
inference(consistent_polarity_flipping,[],[f8783]) ).
fof(f19337,plain,
! [X0,X1] :
( ~ c_24__type__102___24t(X0,X1)
| ~ t(sK956(X0,X1),X0) ),
inference(consistent_polarity_flipping,[],[f8782]) ).
fof(f19441,plain,
! [X2,X0,X1] :
( ~ t(happ(X1,X2),X0)
| cCoq_2eInit_2eDatatypes_2enat___24t(X2)
| c_24__type__1386___24t(X0,X1) ),
inference(consistent_polarity_flipping,[],[f8904]) ).
fof(f21359,plain,
! [X0,X1] :
( cZornsLemma_2eFunctionProperties_2einjective___24a3(X0,cCoq_2eInit_2eDatatypes_2enat,X1)
| c_24__type__102___24t(X0,X1)
| ~ cType___24t(X0)
| cZornsLemma_2eCountableTypes_2eCountableT___24a1(X0) ),
inference(consistent_polarity_flipping,[],[f11314]) ).
fof(f21399,plain,
! [X0] :
( ~ c_24__type__1386___24t(X0,sK1753(X0))
| p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,X0))
| ~ cType___24t(X0) ),
inference(consistent_polarity_flipping,[],[f16328]) ).
fof(f21400,plain,
! [X0] :
( ~ cZornsLemma_2eFunctionProperties_2einjective___24a3(cCoq_2eInit_2eDatatypes_2enat,X0,sK1753(X0))
| p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,X0))
| ~ cType___24t(X0) ),
inference(consistent_polarity_flipping,[],[f16329]) ).
fof(f22123,plain,
! [X0] :
( ~ cCoq_2eInit_2eDatatypes_2enat___24t(X0)
| t(X0,cCoq_2eInit_2eDatatypes_2enat) ),
inference(consistent_polarity_flipping,[],[f12612]) ).
fof(f57993,plain,
( p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,cCoq_2eInit_2eDatatypes_2enat))
| ~ cType___24t(cCoq_2eInit_2eDatatypes_2enat)
| c_24__type__102___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat))
| ~ cType___24t(cCoq_2eInit_2eDatatypes_2enat)
| cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat) ),
inference(resolution,[],[f21400,f21359]) ).
fof(f57994,plain,
( p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,cCoq_2eInit_2eDatatypes_2enat))
| ~ cType___24t(cCoq_2eInit_2eDatatypes_2enat)
| c_24__type__102___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat))
| cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat) ),
inference(duplicate_literal_removal,[],[f57993]) ).
fof(f57995,plain,
( ~ cType___24t(cCoq_2eInit_2eDatatypes_2enat)
| c_24__type__102___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat))
| cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat) ),
inference(forward_subsumption_resolution,[],[f57994,f16330]) ).
fof(f57996,plain,
( c_24__type__102___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat))
| cZornsLemma_2eCountableTypes_2eCountableT___24a1(cCoq_2eInit_2eDatatypes_2enat) ),
inference(forward_subsumption_resolution,[],[f57995,f10541]) ).
fof(f57997,plain,
c_24__type__102___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)),
inference(forward_subsumption_resolution,[],[f57996,f12816]) ).
fof(f57998,plain,
cCoq_2eInit_2eDatatypes_2enat___24t(happ(sK1753(cCoq_2eInit_2eDatatypes_2enat),sK956(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)))),
inference(resolution,[],[f57997,f19336]) ).
fof(f57999,plain,
~ t(sK956(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)),cCoq_2eInit_2eDatatypes_2enat),
inference(resolution,[],[f57997,f19337]) ).
fof(f58058,plain,
t(happ(sK1753(cCoq_2eInit_2eDatatypes_2enat),sK956(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat))),cCoq_2eInit_2eDatatypes_2enat),
inference(resolution,[],[f57998,f22123]) ).
fof(f58147,plain,
( cCoq_2eInit_2eDatatypes_2enat___24t(sK956(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)))
| c_24__type__1386___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)) ),
inference(resolution,[],[f58058,f19441]) ).
fof(f58150,definition,
( spl1754_3764
<=> c_24__type__1386___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)) ),
introduced(definition,[new_symbols(definition,[spl1754_3764])],[avatar_definition]) ).
fof(f58152,plain,
( c_24__type__1386___24t(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat))
| ~ spl1754_3764 ),
inference(avatar_component_clause,[],[f58150]) ).
fof(f58154,definition,
( spl1754_3765
<=> cCoq_2eInit_2eDatatypes_2enat___24t(sK956(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat))) ),
introduced(definition,[new_symbols(definition,[spl1754_3765])],[avatar_definition]) ).
fof(f58156,plain,
( cCoq_2eInit_2eDatatypes_2enat___24t(sK956(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)))
| ~ spl1754_3765 ),
inference(avatar_component_clause,[],[f58154]) ).
fof(f58157,plain,
( spl1754_3764
| spl1754_3765 ),
inference(avatar_split_clause,[],[f58147,f58154,f58150]) ).
fof(f58167,plain,
( p(happ(cZornsLemma_2eFiniteTypes_2eFiniteT,cCoq_2eInit_2eDatatypes_2enat))
| ~ cType___24t(cCoq_2eInit_2eDatatypes_2enat)
| ~ spl1754_3764 ),
inference(resolution,[],[f58152,f21399]) ).
fof(f58170,plain,
( ~ cType___24t(cCoq_2eInit_2eDatatypes_2enat)
| ~ spl1754_3764 ),
inference(forward_subsumption_resolution,[],[f58167,f16330]) ).
fof(f58171,plain,
( $false
| ~ spl1754_3764 ),
inference(forward_subsumption_resolution,[],[f58170,f10541]) ).
fof(f58172,plain,
~ spl1754_3764,
inference(avatar_contradiction_clause,[],[f58171]) ).
fof(f58359,plain,
( t(sK956(cCoq_2eInit_2eDatatypes_2enat,sK1753(cCoq_2eInit_2eDatatypes_2enat)),cCoq_2eInit_2eDatatypes_2enat)
| ~ spl1754_3765 ),
inference(resolution,[],[f58156,f22123]) ).
fof(f58360,plain,
( $false
| ~ spl1754_3765 ),
inference(forward_subsumption_resolution,[],[f58359,f57999]) ).
fof(f58361,plain,
~ spl1754_3765,
inference(avatar_contradiction_clause,[],[f58360]) ).
cnf(s2496,plain,
( spl1754_3764
| spl1754_3765 ),
inference(sat_conversion,[],[f58157]) ).
cnf(s2497,plain,
~ spl1754_3764,
inference(sat_conversion,[],[f58172]) ).
cnf(s2498,plain,
~ spl1754_3765,
inference(sat_conversion,[],[f58361]) ).
cnf(s2499,plain,
$false,
inference(rat,[],[s2496,s2498,s2497]) ).
fof(f58362,plain,
$false,
inference(avatar_sat_refutation,[],[s2499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV612+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 06:40:55 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.59/1.72 % (3775106)Will run a generic schedule for satisfiability detection.
% 6.59/1.72 % (3775115)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2132489595:i=116_2997 on theBenchmark for (2997ds/116Mi)
% 6.59/1.72 % (3775112)% WARNING: option uhcvi not known.
% 6.59/1.72 % (3775111)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2372822287_2997 on theBenchmark for (2997ds/0Mi)
% 6.59/1.72 % (3775112)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2494350179:i=135531:add=off:rawr=on_2997 on theBenchmark for (2997ds/135531Mi)
% 6.59/1.72 % (3775113)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3080832913:i=88024:add=on:rawr=on_2997 on theBenchmark for (2997ds/88024Mi)
% 6.59/1.72 % (3775114)dis+10_1_sil=32000:sp=arity:random_seed=3197833475:i=103:fgj=on_2997 on theBenchmark for (2997ds/103Mi)
% 6.59/1.72 % (3775116)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=847821979:i=131_2997 on theBenchmark for (2997ds/131Mi)
% 6.59/1.72 % (3775117)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2821844803:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2997 on theBenchmark for (2997ds/159Mi)
% 6.59/1.72 % (3775115)Instruction limit reached!
% 6.59/1.72 % (3775115)------------------------------
% 6.59/1.72 % (3775115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775115)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775115)Termination reason: Instruction limit
% 6.59/1.72 % (3775115)Termination phase: NewCNF
% 6.59/1.72 % (3775115)Time elapsed: 0.038 s
% 6.59/1.72 % (3775115)Peak memory usage: 18 MB
% 6.59/1.72 % (3775115)Instructions burned: 119 (million)
% 6.59/1.72 % (3775125)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3921499751:i=714:nm=2_2996 on theBenchmark for (2996ds/714Mi)
% 6.59/1.72 % (3775114)Instruction limit reached!
% 6.59/1.72 % (3775114)------------------------------
% 6.59/1.72 % (3775114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775114)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775114)Termination reason: Instruction limit
% 6.59/1.72 % (3775114)Termination phase: Preprocessing 3
% 6.59/1.72 % (3775114)Time elapsed: 0.054 s
% 6.59/1.72 % (3775114)Peak memory usage: 17 MB
% 6.59/1.72 % (3775114)Instructions burned: 104 (million)
% 6.59/1.72 % (3775116)Instruction limit reached!
% 6.59/1.72 % (3775116)------------------------------
% 6.59/1.72 % (3775116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775116)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775116)Termination reason: Instruction limit
% 6.59/1.72 % (3775116)Termination phase: Preprocessing 3
% 6.59/1.72 % (3775116)Time elapsed: 0.069 s
% 6.59/1.72 % (3775116)Peak memory usage: 18 MB
% 6.59/1.72 % (3775116)Instructions burned: 131 (million)
% 6.59/1.72 % (3775127)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2376025939:i=131:bd=preordered:fsd=on_2996 on theBenchmark for (2996ds/131Mi)
% 6.59/1.72 % (3775128)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=415388835:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2996 on theBenchmark for (2996ds/684Mi)
% 6.59/1.72 % (3775117)Instruction limit reached!
% 6.59/1.72 % (3775117)------------------------------
% 6.59/1.72 % (3775117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775117)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775117)Termination reason: Instruction limit
% 6.59/1.72 % (3775117)Termination phase: Property scanning
% 6.59/1.72 % (3775117)Time elapsed: 0.113 s
% 6.59/1.72 % (3775117)Peak memory usage: 20 MB
% 6.59/1.72 % (3775117)Instructions burned: 162 (million)
% 6.59/1.72 % (3775131)ott-21_1_sil=16000:fs=off:random_seed=1887715797:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 6.59/1.72 % (3775127)Instruction limit reached!
% 6.59/1.72 % (3775127)------------------------------
% 6.59/1.72 % (3775127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775127)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775127)Termination reason: Instruction limit
% 6.59/1.72 % (3775127)Termination phase: Preprocessing 3
% 6.59/1.72 % (3775127)Time elapsed: 0.068 s
% 6.59/1.72 % (3775127)Peak memory usage: 18 MB
% 6.59/1.72 % (3775127)Instructions burned: 131 (million)
% 6.59/1.72 % (3775133)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2517183760:i=477:bd=all_2995 on theBenchmark for (2995ds/477Mi)
% 6.59/1.72 % (3775125)Instruction limit reached!
% 6.59/1.72 % (3775125)------------------------------
% 6.59/1.72 % (3775125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775125)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775125)Termination reason: Instruction limit
% 6.59/1.72 % (3775125)Termination phase: Finite model building preprocessing
% 6.59/1.72 % (3775125)Time elapsed: 0.171 s
% 6.59/1.72 % (3775125)Peak memory usage: 26 MB
% 6.59/1.72 % (3775125)Instructions burned: 717 (million)
% 6.59/1.72 % (3775131)Instruction limit reached!
% 6.59/1.72 % (3775131)------------------------------
% 6.59/1.72 % (3775131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775131)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775131)Termination reason: Instruction limit
% 6.59/1.72 % (3775131)Termination phase: Property scanning
% 6.59/1.72 % (3775131)Time elapsed: 0.091 s
% 6.59/1.72 % (3775131)Peak memory usage: 20 MB
% 6.59/1.72 % (3775131)Instructions burned: 182 (million)
% 6.59/1.72 % (3775135)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4155038609:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 6.59/1.72 % (3775136)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4169024758:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 6.59/1.72 % (3775133)Instruction limit reached!
% 6.59/1.72 % (3775133)------------------------------
% 6.59/1.72 % (3775133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775133)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775133)Termination reason: Instruction limit
% 6.59/1.72 % (3775133)Termination phase: Property scanning
% 6.59/1.72 % (3775133)Time elapsed: 0.205 s
% 6.59/1.72 % (3775133)Peak memory usage: 22 MB
% 6.59/1.72 % (3775133)Instructions burned: 479 (million)
% 6.59/1.72 % (3775128)Instruction limit reached!
% 6.59/1.72 % (3775128)------------------------------
% 6.59/1.72 % (3775128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775128)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775128)Termination reason: Instruction limit
% 6.59/1.72 % (3775128)Termination phase: Property scanning
% 6.59/1.72 % (3775128)Time elapsed: 0.282 s
% 6.59/1.72 % (3775128)Peak memory usage: 22 MB
% 6.59/1.72 % (3775128)Instructions burned: 686 (million)
% 6.59/1.72 % (3775139)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=598454195:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 6.59/1.72 % (3775140)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1483143211:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 6.59/1.72 % (3775135)Instruction limit reached!
% 6.59/1.72 % (3775135)------------------------------
% 6.59/1.72 % (3775135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775135)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775135)Termination reason: Instruction limit
% 6.59/1.72 % (3775135)Termination phase: Finite model building preprocessing
% 6.59/1.72 % (3775135)Time elapsed: 0.245 s
% 6.59/1.72 % (3775135)Peak memory usage: 28 MB
% 6.59/1.72 % (3775135)Instructions burned: 868 (million)
% 6.59/1.72 % (3775143)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3070721333:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 6.59/1.72 % (3775140)Instruction limit reached!
% 6.59/1.72 % (3775140)------------------------------
% 6.59/1.72 % (3775140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775140)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775140)Termination reason: Instruction limit
% 6.59/1.72 % (3775140)Termination phase: Saturation
% 6.59/1.72 % (3775140)Time elapsed: 0.300 s
% 6.59/1.72 % (3775140)Peak memory usage: 26 MB
% 6.59/1.72 % (3775140)Instructions burned: 692 (million)
% 6.59/1.72 % (3775143)Instruction limit reached!
% 6.59/1.72 % (3775143)------------------------------
% 6.59/1.72 % (3775143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775143)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775143)Termination reason: Instruction limit
% 6.59/1.72 % (3775143)Termination phase: Saturation
% 6.59/1.72 % (3775143)Time elapsed: 0.204 s
% 6.59/1.72 % (3775143)Peak memory usage: 29 MB
% 6.59/1.72 % (3775143)Instructions burned: 880 (million)
% 6.59/1.72 % (3775146)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2662723147:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.59/1.72 % (3775145)fmb+10_1_sil=64000:random_seed=1969207437:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 6.59/1.72 % (3775136)Instruction limit reached!
% 6.59/1.72 % (3775136)------------------------------
% 6.59/1.72 % (3775136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775136)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775136)Termination reason: Instruction limit
% 6.59/1.72 % (3775136)Termination phase: Saturation
% 6.59/1.72 % (3775136)Time elapsed: 0.550 s
% 6.59/1.72 % (3775136)Peak memory usage: 33 MB
% 6.59/1.72 % (3775136)Instructions burned: 1181 (million)
% 6.59/1.72 % (3775139)Instruction limit reached!
% 6.59/1.72 % (3775139)------------------------------
% 6.59/1.72 % (3775139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.72 % (3775139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.72 % (3775139)CaDiCaL version: 2.1.3
% 6.59/1.72 % (3775139)Termination reason: Instruction limit
% 6.59/1.72 % (3775139)Termination phase: Finite model building preprocessing
% 6.59/1.72 % (3775139)Time elapsed: 0.414 s
% 6.59/1.72 % (3775139)Peak memory usage: 28 MB
% 6.59/1.72 % (3775139)Instructions burned: 890 (million)
% 6.59/1.72 % (3775149)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3231869129:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 6.59/1.72 % (3775150)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=503076322:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.59/1.72 % (3775112) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3775106-3775112"...
% 6.59/1.72 % (3775112)...printing done.
% 6.59/1.72 % (3775112)Refutation found. Thanks to Tanya!
% 6.59/1.72 % SZS status Theorem for theBenchmark
% 6.59/1.72 % SZS output start Proof for theBenchmark
% See solution above
% 6.59/1.73 % (3775112)------------------------------
% 6.59/1.73 % (3775112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.59/1.73 % (3775112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/1.73 % (3775112)CaDiCaL version: 2.1.3
% 6.59/1.73 % (3775112)Termination reason: Refutation
% 6.59/1.73 % (3775112)Time elapsed: 1.005 s
% 6.59/1.73 % (3775112)Peak memory usage: 46 MB
% 6.59/1.73 % (3775112)Instructions burned: 2071 (million)
% 6.59/1.73 % (3775106)Success in time 1.294 s
% 6.59/1.73 % Vampire exiting
%------------------------------------------------------------------------------