%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COM124+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:40:21 AM UTC 2026
% Result : Theorem 16.89s 2.76s
% Output : Refutation 16.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 74 ( 15 unt; 0 def)
% Number of atoms : 228 ( 67 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 273 ( 119 ~; 105 |; 32 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 236 ( 224 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1,X2,X3] :
( ( X0 = X3
& X1 = vvar(X2) )
=> ( ( X2 = X3
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar0) ).
fof(f11,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( X1 = X4
& X2 = vabs(X3,X0,X5) )
=> ( ( ( X3 != X4
& visFreeVar(X4,X5) )
=> visFreeVar(X1,X2) )
& ( visFreeVar(X1,X2)
=> ( X3 != X4
& visFreeVar(X4,X5) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar1) ).
fof(f12,axiom,
! [X0,X1,X2,X3,X4] :
( ( X0 = X3
& X1 = vapp(X2,X4) )
=> ( ( ( visFreeVar(X3,X2)
| visFreeVar(X3,X4) )
=> visFreeVar(X0,X1) )
& ( visFreeVar(X0,X1)
=> ( visFreeVar(X3,X2)
| visFreeVar(X3,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+0.ax','gensym-is-fresh') ).
fof(f55,axiom,
! [X0] : valphaEquivalent(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-refl') ).
fof(f56,axiom,
! [X0,X1] :
( valphaEquivalent(X1,X0)
=> valphaEquivalent(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-sym') ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ~ visFreeVar(X2,X3)
=> valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-subst-abs') ).
fof(f59,axiom,
! [X0,X1,X2,X3] :
( ( vtcheck(X1,X0,X3)
& valphaEquivalent(X0,X2) )
=> vtcheck(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-typing') ).
fof(f60,axiom,
! [X0,X1,X2] :
( ( ~ visFreeVar(X1,X0)
& valphaEquivalent(X0,X2) )
=> ~ visFreeVar(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/COM001+1.ax','alpha-equiv-FreeVar') ).
fof(f63,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( X0 != X3
& ~ visFreeVar(X0,vabs(X3,X4,X5))
& vtcheck(X2,vabs(X3,X4,X5),X6) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-1-gen') ).
fof(f64,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( X0 = X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-FreeVar-abs-2') ).
fof(f65,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( X0 = X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) )
=> vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5) ),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(ennf_transformation,[],[f10]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( ( visFreeVar(X1,X2)
| X3 = X4
| ~ visFreeVar(X4,X5) )
& ( ( X3 != X4
& visFreeVar(X4,X5) )
| ~ visFreeVar(X1,X2) ) )
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X2)
& ~ visFreeVar(X3,X4) ) )
& ( visFreeVar(X3,X2)
| visFreeVar(X3,X4)
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(ennf_transformation,[],[f12]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4] :
( ( ( visFreeVar(X0,X1)
| ( ~ visFreeVar(X3,X2)
& ~ visFreeVar(X3,X4) ) )
& ( visFreeVar(X3,X2)
| visFreeVar(X3,X4)
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(flattening,[],[f82]) ).
fof(f105,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f150,plain,
! [X0,X1] :
( valphaEquivalent(X0,X1)
| ~ valphaEquivalent(X1,X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ vtcheck(X1,X0,X3)
| ~ valphaEquivalent(X0,X2) ),
inference(ennf_transformation,[],[f59]) ).
fof(f155,plain,
! [X0,X1,X2,X3] :
( vtcheck(X1,X2,X3)
| ~ vtcheck(X1,X0,X3)
| ~ valphaEquivalent(X0,X2) ),
inference(flattening,[],[f154]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ visFreeVar(X1,X2)
| visFreeVar(X1,X0)
| ~ valphaEquivalent(X0,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ~ visFreeVar(X1,X2)
| visFreeVar(X1,X0)
| ~ valphaEquivalent(X0,X2) ),
inference(flattening,[],[f156]) ).
fof(f162,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
| X0 = X3
| visFreeVar(X0,vabs(X3,X4,X5))
| ~ vtcheck(X2,vabs(X3,X4,X5),X6) ),
inference(ennf_transformation,[],[f63]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
| X0 = X3
| visFreeVar(X0,vabs(X3,X4,X5))
| ~ vtcheck(X2,vabs(X3,X4,X5),X6) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& X0 = X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(ennf_transformation,[],[f65]) ).
fof(f165,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ vtcheck(vbind(X0,X1,X2),vabs(X3,X4,veabs),X5)
& X0 = X3
& ~ visFreeVar(X0,vabs(X3,X4,veabs))
& vtcheck(X2,vabs(X3,X4,veabs),X5) ),
inference(flattening,[],[f164]) ).
fof(f181,plain,
! [X2,X3,X0,X1] :
( vvar(X2) != X1
| X0 != X3
| X2 != X3
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f184,plain,
! [X2,X3,X0,X1,X4,X5] :
( vabs(X3,X0,X5) != X2
| X1 != X4
| ~ visFreeVar(X1,X2)
| X3 != X4 ),
inference(cnf_transformation,[],[f81]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ~ visFreeVar(X3,X4)
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4] :
( vapp(X2,X4) != X1
| X0 != X3
| ~ visFreeVar(X3,X2)
| visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f226,plain,
! [X0,X1] :
( vgensym(X1) != X0
| ~ visFreeVar(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f368,plain,
! [X0] : valphaEquivalent(X0,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f369,plain,
! [X0,X1] :
( valphaEquivalent(X0,X1)
| ~ valphaEquivalent(X1,X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3)))
| visFreeVar(X2,X3) ),
inference(cnf_transformation,[],[f153]) ).
fof(f372,plain,
! [X2,X3,X0,X1] :
( vtcheck(X1,X2,X3)
| ~ vtcheck(X1,X0,X3)
| ~ valphaEquivalent(X0,X2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f373,plain,
! [X2,X0,X1] :
( visFreeVar(X1,X0)
| ~ valphaEquivalent(X0,X2)
| ~ visFreeVar(X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f376,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( vtcheck(vbind(X0,X1,X2),vabs(X3,X4,X5),X6)
| visFreeVar(X0,vabs(X3,X4,X5))
| X0 = X3
| ~ vtcheck(X2,vabs(X3,X4,X5),X6) ),
inference(cnf_transformation,[],[f163]) ).
fof(f377,plain,
vtcheck(sK87,vabs(sK88,sK89,veabs),sK90),
inference(cnf_transformation,[],[f165]) ).
fof(f379,plain,
sK85 = sK88,
inference(cnf_transformation,[],[f165]) ).
fof(f380,plain,
~ vtcheck(vbind(sK85,sK86,sK87),vabs(sK88,sK89,veabs),sK90),
inference(cnf_transformation,[],[f165]) ).
fof(f381,plain,
~ vtcheck(vbind(sK88,sK86,sK87),vabs(sK88,sK89,veabs),sK90),
inference(definition_unfolding,[],[f380,f379]) ).
fof(f394,plain,
! [X2,X3,X0] :
( X0 != X3
| X2 != X3
| visFreeVar(X0,vvar(X2)) ),
inference(equality_resolution,[],[f181]) ).
fof(f395,plain,
! [X2,X3] :
( X2 != X3
| visFreeVar(X3,vvar(X2)) ),
inference(equality_resolution,[],[f394]) ).
fof(f396,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f395]) ).
fof(f399,plain,
! [X3,X0,X1,X4,X5] :
( X1 != X4
| ~ visFreeVar(X1,vabs(X3,X0,X5))
| X3 != X4 ),
inference(equality_resolution,[],[f184]) ).
fof(f400,plain,
! [X3,X0,X4,X5] :
( ~ visFreeVar(X4,vabs(X3,X0,X5))
| X3 != X4 ),
inference(equality_resolution,[],[f399]) ).
fof(f401,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f400]) ).
fof(f406,plain,
! [X2,X3,X0,X4] :
( X0 != X3
| ~ visFreeVar(X3,X2)
| visFreeVar(X0,vapp(X2,X4)) ),
inference(equality_resolution,[],[f187]) ).
fof(f407,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f406]) ).
fof(f408,plain,
! [X2,X3,X0,X4] :
( X0 != X3
| ~ visFreeVar(X3,X4)
| visFreeVar(X0,vapp(X2,X4)) ),
inference(equality_resolution,[],[f186]) ).
fof(f409,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f408]) ).
fof(f445,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f226]) ).
fof(f586,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X0),
inference(resolution,[],[f407,f445]) ).
fof(f587,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X1),
inference(resolution,[],[f409,f445]) ).
fof(f590,plain,
! [X2,X0,X1] : ~ visFreeVar(vgensym(vapp(X0,vapp(X1,X2))),X2),
inference(resolution,[],[f587,f409]) ).
fof(f605,plain,
! [X2,X3,X0,X1] :
( ~ valphaEquivalent(vabs(X0,X1,X2),X3)
| ~ visFreeVar(X0,X3) ),
inference(resolution,[],[f373,f401]) ).
fof(f678,plain,
! [X0] :
( ~ vtcheck(vbind(sK88,sK86,sK87),X0,sK90)
| ~ valphaEquivalent(X0,vabs(sK88,sK89,veabs)) ),
inference(resolution,[],[f372,f381]) ).
fof(f679,plain,
! [X0,X1] :
( ~ valphaEquivalent(X0,vabs(sK88,sK89,veabs))
| ~ vtcheck(vbind(sK88,sK86,sK87),X1,sK90)
| ~ valphaEquivalent(X1,X0) ),
inference(resolution,[],[f678,f372]) ).
fof(f685,plain,
! [X0,X1] :
( ~ vtcheck(vbind(sK88,sK86,sK87),X1,sK90)
| ~ valphaEquivalent(X1,X0)
| ~ valphaEquivalent(vabs(sK88,sK89,veabs),X0) ),
inference(resolution,[],[f679,f369]) ).
fof(f1298,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X2,vabs(X0,X3,vsubst(X2,vvar(X0),X1))) ),
inference(resolution,[],[f371,f605]) ).
fof(f1299,plain,
! [X0,X1] :
( ~ valphaEquivalent(X1,vabs(X0,sK89,vsubst(sK88,vvar(X0),veabs)))
| ~ vtcheck(vbind(sK88,sK86,sK87),X1,sK90)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f371,f685]) ).
fof(f1403,plain,
! [X0] :
( ~ vtcheck(vbind(sK88,sK86,sK87),vabs(X0,sK89,vsubst(sK88,vvar(X0),veabs)),sK90)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f1299,f368]) ).
fof(f1874,plain,
! [X0] :
( visFreeVar(sK88,vabs(X0,sK89,vsubst(sK88,vvar(X0),veabs)))
| sK88 = X0
| ~ vtcheck(sK87,vabs(X0,sK89,vsubst(sK88,vvar(X0),veabs)),sK90)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f376,f1403]) ).
fof(f1921,plain,
! [X0] :
( ~ vtcheck(sK87,vabs(X0,sK89,vsubst(sK88,vvar(X0),veabs)),sK90)
| sK88 = X0
| visFreeVar(X0,veabs) ),
inference(forward_subsumption_resolution,[],[f1874,f1298]) ).
fof(f1922,plain,
! [X0,X1] :
( ~ valphaEquivalent(X1,vabs(X0,sK89,vsubst(sK88,vvar(X0),veabs)))
| visFreeVar(X0,veabs)
| ~ vtcheck(sK87,X1,sK90)
| sK88 = X0 ),
inference(resolution,[],[f1921,f372]) ).
fof(f1950,plain,
! [X0] :
( visFreeVar(X0,veabs)
| ~ vtcheck(sK87,vabs(sK88,sK89,veabs),sK90)
| sK88 = X0
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f1922,f371]) ).
fof(f1951,plain,
! [X0] :
( visFreeVar(X0,veabs)
| ~ vtcheck(sK87,vabs(sK88,sK89,veabs),sK90)
| sK88 = X0 ),
inference(duplicate_literal_removal,[],[f1950]) ).
fof(f1952,plain,
! [X0] :
( visFreeVar(X0,veabs)
| sK88 = X0 ),
inference(forward_subsumption_resolution,[],[f1951,f377]) ).
fof(f1957,plain,
! [X0] : sK88 = vgensym(vapp(veabs,X0)),
inference(resolution,[],[f1952,f586]) ).
fof(f2020,plain,
! [X1] : ~ visFreeVar(sK88,X1),
inference(superposition,[],[f590,f1957]) ).
fof(f2043,plain,
$false,
inference(resolution,[],[f2020,f396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM124+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 % Computer : n011.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 21:55:16 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.30 Running first-order model finding
% 0.25/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.14/2.37 % (3821124)Will run a generic schedule for satisfiability detection.
% 14.14/2.37 % (3821134)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3893571072:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.14/2.37 % (3821131)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=570271629:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.14/2.37 % (3821130)% WARNING: option uhcvi not known.
% 14.14/2.37 % (3821132)dis+10_1_sil=32000:sp=arity:random_seed=2212320432:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.14/2.37 % (3821129)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=417819566_2999 on theBenchmark for (2999ds/0Mi)
% 14.14/2.37 % (3821130)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1506092943:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.14/2.37 % (3821135)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3744464543:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.14/2.37 % (3821133)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1915372521:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.14/2.37 % TRYING [1]
% 14.14/2.37 % TRYING [2]
% 14.14/2.37 % (3821134)Instruction limit reached!
% 14.14/2.37 % (3821134)------------------------------
% 14.14/2.37 % (3821134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.37 % (3821134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.37 % (3821134)CaDiCaL version: 2.1.3
% 14.14/2.37 % (3821134)Termination reason: Instruction limit
% 14.14/2.37 % (3821134)Termination phase: Saturation
% 14.14/2.37 % (3821134)Time elapsed: 0.071 s
% 14.14/2.37 % (3821134)Peak memory usage: 13 MB
% 14.14/2.37 % (3821134)Instructions burned: 133 (million)
% 14.14/2.37 % TRYING [3]
% 14.14/2.37 % (3821143)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2602456480:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 14.14/2.37 % TRYING [1]
% 14.14/2.37 % (3821132)Instruction limit reached!
% 14.14/2.37 % (3821132)------------------------------
% 14.14/2.37 % (3821132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.37 % (3821132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.37 % (3821132)CaDiCaL version: 2.1.3
% 14.14/2.37 % (3821132)Termination reason: Instruction limit
% 14.14/2.37 % (3821132)Termination phase: Saturation
% 14.14/2.37 % (3821132)Time elapsed: 0.099 s
% 14.14/2.37 % (3821132)Peak memory usage: 13 MB
% 14.14/2.37 % (3821132)Instructions burned: 103 (million)
% 14.14/2.37 % TRYING [2]
% 14.14/2.37 % (3821133)Instruction limit reached!
% 14.14/2.37 % (3821133)------------------------------
% 14.14/2.37 % (3821133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.37 % (3821133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.37 % (3821133)CaDiCaL version: 2.1.3
% 14.14/2.37 % (3821133)Termination reason: Instruction limit
% 14.14/2.37 % (3821133)Termination phase: Saturation
% 14.14/2.37 % (3821133)Time elapsed: 0.111 s
% 14.14/2.37 % (3821133)Peak memory usage: 12 MB
% 14.14/2.37 % (3821133)Instructions burned: 117 (million)
% 14.14/2.37 % (3821145)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=365775980:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.14/2.37 % TRYING [3]
% 14.14/2.37 % (3821135)Instruction limit reached!
% 14.14/2.37 % (3821135)------------------------------
% 14.14/2.37 % (3821135)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.37 % (3821135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.14/2.37 % (3821135)CaDiCaL version: 2.1.3
% 14.14/2.37 % (3821135)Termination reason: Instruction limit
% 14.14/2.37 % (3821135)Termination phase: Saturation
% 14.14/2.37 % (3821135)Time elapsed: 0.143 s
% 14.14/2.37 % (3821135)Peak memory usage: 13 MB
% 14.14/2.37 % (3821135)Instructions burned: 160 (million)
% 14.14/2.37 % (3821146)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=2929929333:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.14/2.37 % (3821148)ott-21_1_sil=16000:fs=off:random_seed=1613257613:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.14/2.37 % (3821145)Instruction limit reached!
% 14.14/2.37 % (3821145)------------------------------
% 14.14/2.37 % (3821145)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.14/2.37 % (3821145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821145)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821145)Termination reason: Instruction limit
% 16.89/2.76 % (3821145)Termination phase: Saturation
% 16.89/2.76 % (3821145)Time elapsed: 0.069 s
% 16.89/2.76 % (3821145)Peak memory usage: 13 MB
% 16.89/2.76 % (3821145)Instructions burned: 131 (million)
% 16.89/2.76 % (3821151)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3855500290:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.89/2.76 % (3821148)Instruction limit reached!
% 16.89/2.76 % (3821148)------------------------------
% 16.89/2.76 % (3821148)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821148)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821148)Termination reason: Instruction limit
% 16.89/2.76 % (3821148)Termination phase: Saturation
% 16.89/2.76 % (3821148)Time elapsed: 0.175 s
% 16.89/2.76 % (3821148)Peak memory usage: 13 MB
% 16.89/2.76 % (3821148)Instructions burned: 182 (million)
% 16.89/2.76 % (3821153)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3410123170:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 16.89/2.76 % TRYING [1]
% 16.89/2.76 % TRYING [2]
% 16.89/2.76 % TRYING [3]
% 16.89/2.76 % TRYING [4]
% 16.89/2.76 % (3821151)Instruction limit reached!
% 16.89/2.76 % (3821151)------------------------------
% 16.89/2.76 % (3821151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821151)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821151)Termination reason: Instruction limit
% 16.89/2.76 % (3821151)Termination phase: Saturation
% 16.89/2.76 % (3821151)Time elapsed: 0.273 s
% 16.89/2.76 % (3821151)Peak memory usage: 14 MB
% 16.89/2.76 % (3821151)Instructions burned: 478 (million)
% 16.89/2.76 % (3821155)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1090916032:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 16.89/2.76 % (3821143)Instruction limit reached!
% 16.89/2.76 % (3821143)------------------------------
% 16.89/2.76 % (3821143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821143)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821143)Termination reason: Instruction limit
% 16.89/2.76 % (3821143)Termination phase: Finite model building constraint generation
% 16.89/2.76 % (3821143)Time elapsed: 0.489 s
% 16.89/2.76 % (3821143)Peak memory usage: 42 MB
% 16.89/2.76 % (3821143)Instructions burned: 715 (million)
% 16.89/2.76 % (3821157)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2286620347:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 16.89/2.76 % (3821146)Instruction limit reached!
% 16.89/2.76 % (3821146)------------------------------
% 16.89/2.76 % (3821146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821146)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821146)Termination reason: Instruction limit
% 16.89/2.76 % (3821146)Termination phase: Saturation
% 16.89/2.76 % (3821146)Time elapsed: 0.615 s
% 16.89/2.76 % (3821146)Peak memory usage: 18 MB
% 16.89/2.76 % (3821146)Instructions burned: 684 (million)
% 16.89/2.76 % (3821159)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=1210801812:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 16.89/2.76 % (3821155)Instruction limit reached!
% 16.89/2.76 % (3821155)------------------------------
% 16.89/2.76 % (3821155)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821155)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821155)Termination reason: Instruction limit
% 16.89/2.76 % (3821155)Termination phase: Saturation
% 16.89/2.76 % (3821155)Time elapsed: 0.350 s
% 16.89/2.76 % (3821155)Peak memory usage: 12 MB
% 16.89/2.76 % (3821155)Instructions burned: 1182 (million)
% 16.89/2.76 % (3821161)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2000133514:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 16.89/2.76 % (3821153)Instruction limit reached!
% 16.89/2.76 % (3821153)------------------------------
% 16.89/2.76 % (3821153)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821153)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821153)Termination reason: Instruction limit
% 16.89/2.76 % (3821153)Termination phase: Finite model building SAT solving
% 16.89/2.76 % (3821153)Time elapsed: 0.571 s
% 16.89/2.76 % (3821153)Peak memory usage: 35 MB
% 16.89/2.76 % (3821153)Instructions burned: 866 (million)
% 16.89/2.76 % (3821163)fmb+10_1_sil=64000:random_seed=2312766754:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 16.89/2.76 % TRYING [1]
% 16.89/2.76 % TRYING [2]
% 16.89/2.76 % TRYING [3]
% 16.89/2.76 % (3821161)Instruction limit reached!
% 16.89/2.76 % (3821161)------------------------------
% 16.89/2.76 % (3821161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821161)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821161)Termination reason: Instruction limit
% 16.89/2.76 % (3821161)Termination phase: Saturation
% 16.89/2.76 % (3821161)Time elapsed: 0.451 s
% 16.89/2.76 % (3821161)Peak memory usage: 18 MB
% 16.89/2.76 % (3821161)Instructions burned: 880 (million)
% 16.89/2.76 % (3821165)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1788583690:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 16.89/2.76 % (3821157)Instruction limit reached!
% 16.89/2.76 % (3821157)------------------------------
% 16.89/2.76 % (3821157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821157)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821157)Termination reason: Instruction limit
% 16.89/2.76 % (3821157)Termination phase: Finite model building constraint generation
% 16.89/2.76 % (3821157)Time elapsed: 0.794 s
% 16.89/2.76 % (3821157)Peak memory usage: 107 MB
% 16.89/2.76 % (3821157)Instructions burned: 890 (million)
% 16.89/2.76 % (3821165)Cannot represent all propositional literals internally
% 16.89/2.76 % (3821165)Refutation not found, incomplete strategy
% 16.89/2.76 % (3821165)------------------------------
% 16.89/2.76 % (3821165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821165)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821165)Termination reason: Refutation not found, incomplete strategy
% 16.89/2.76 % (3821165)Time elapsed: 0.035 s
% 16.89/2.76 % (3821165)Peak memory usage: 11 MB
% 16.89/2.76 % (3821165)Instructions burned: 34 (million)
% 16.89/2.76 % (3821165)------------------------------
% 16.89/2.76 % (3821165)------------------------------
% 16.89/2.76 % (3821167)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4073005347:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 16.89/2.76 % TRYING [8]
% 16.89/2.76 % (3821168)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3232897557:i=5131_2985 on theBenchmark for (2985ds/5131Mi)
% 16.89/2.76 % (3821159)Instruction limit reached!
% 16.89/2.76 % (3821159)------------------------------
% 16.89/2.76 % (3821159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821159)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821159)Termination reason: Instruction limit
% 16.89/2.76 % (3821159)Termination phase: Saturation
% 16.89/2.76 % (3821159)Time elapsed: 0.727 s
% 16.89/2.76 % (3821159)Peak memory usage: 20 MB
% 16.89/2.76 % (3821159)Instructions burned: 692 (million)
% 16.89/2.76 % (3821171)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3798638417:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 16.89/2.76 % TRYING [4]
% 16.89/2.76 % (3821167)Instruction limit reached!
% 16.89/2.76 % (3821167)------------------------------
% 16.89/2.76 % (3821167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821167)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821167)Termination reason: Instruction limit
% 16.89/2.76 % (3821167)Termination phase: Finite model building constraint generation
% 16.89/2.76 % (3821167)Time elapsed: 0.559 s
% 16.89/2.76 % (3821167)Peak memory usage: 62 MB
% 16.89/2.76 % (3821167)Instructions burned: 921 (million)
% 16.89/2.76 % (3821175)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=326616138:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 16.89/2.76 % (3821175)Cannot represent all propositional literals internally
% 16.89/2.76 % (3821175)Refutation not found, incomplete strategy
% 16.89/2.76 % (3821175)------------------------------
% 16.89/2.76 % (3821175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821175)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821175)Termination reason: Refutation not found, incomplete strategy
% 16.89/2.76 % (3821175)Time elapsed: 0.024 s
% 16.89/2.76 % (3821175)Peak memory usage: 11 MB
% 16.89/2.76 % (3821175)Instructions burned: 38 (million)
% 16.89/2.76 % (3821175)------------------------------
% 16.89/2.76 % (3821175)------------------------------
% 16.89/2.76 % (3821177)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2764268084:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 16.89/2.76 % (3821177)Cannot represent all propositional literals internally
% 16.89/2.76 % (3821177)Refutation not found, incomplete strategy
% 16.89/2.76 % (3821177)------------------------------
% 16.89/2.76 % (3821177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821177)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821177)Termination reason: Refutation not found, incomplete strategy
% 16.89/2.76 % (3821177)Time elapsed: 0.184 s
% 16.89/2.76 % (3821177)Peak memory usage: 13 MB
% 16.89/2.76 % (3821177)Instructions burned: 272 (million)
% 16.89/2.76 % (3821177)------------------------------
% 16.89/2.76 % (3821177)------------------------------
% 16.89/2.76 % (3821180)ott-2_1_sil=16000:newcnf=on:random_seed=3550648313:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2977 on theBenchmark for (2977ds/869Mi)
% 16.89/2.76 % (3821180) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3821124-3821180"...
% 16.89/2.76 % (3821180)...printing done.
% 16.89/2.76 % (3821180)Refutation found. Thanks to Tanya!
% 16.89/2.76 % SZS status Theorem for theBenchmark
% 16.89/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 16.89/2.76 % (3821180)------------------------------
% 16.89/2.76 % (3821180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.89/2.76 % (3821180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.89/2.76 % (3821180)CaDiCaL version: 2.1.3
% 16.89/2.76 % (3821180)Termination reason: Refutation
% 16.89/2.76 % (3821180)Time elapsed: 0.081 s
% 16.89/2.76 % (3821180)Peak memory usage: 13 MB
% 16.89/2.76 % (3821180)Instructions burned: 152 (million)
% 16.89/2.76 % (3821124)Success in time 2.445 s
% 16.89/2.76 % Vampire exiting
%------------------------------------------------------------------------------