%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM124+1 : TPTP v9.3.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 09:39:37 AM UTC 2026
% Result : Theorem 9.39s 2.15s
% Output : Refutation 11.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 80 ( 18 unt; 2 def)
% Number of atoms : 250 ( 77 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 278 ( 108 ~; 118 |; 35 &)
% ( 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 : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 239 ( 227 !; 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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',isFreeVar2) ).
fof(f28,axiom,
! [X0,X1] :
( vgensym(X1) = X0
=> ~ visFreeVar(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','gensym-is-fresh') ).
fof(f56,axiom,
! [X0,X1] :
( valphaEquivalent(X1,X0)
=> valphaEquivalent(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','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/sandbox/benchmark/theBenchmark.p','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/sandbox/benchmark/theBenchmark.p','alpha-equiv-typing') ).
fof(f60,axiom,
! [X0,X1,X2] :
( ( ~ visFreeVar(X1,X0)
& valphaEquivalent(X0,X2) )
=> ~ visFreeVar(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','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/sandbox/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/sandbox/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(f81,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(f82,plain,
! [X0,X1,X2,X3] :
( ( ( visFreeVar(X0,X1)
| X2 != X3 )
& ( X2 = X3
| ~ visFreeVar(X0,X1) ) )
| X0 != X3
| vvar(X2) != X1 ),
inference(flattening,[],[f81]) ).
fof(f83,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(f84,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,[],[f83]) ).
fof(f85,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(f86,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,[],[f85]) ).
fof(f106,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(f228,plain,
( ~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92)
& sK87 = sK90
& ~ visFreeVar(sK87,vabs(sK90,sK91,veabs))
& vtcheck(sK89,vabs(sK90,sK91,veabs),sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87,sK88,sK89,sK90,sK91,sK92]),skolemize(X0,sK87),skolemize(X1,sK88),skolemize(X2,sK89),skolemize(X3,sK90),skolemize(X4,sK91),skolemize(X5,sK92)],[f165]) ).
fof(f245,plain,
! [X2,X3,X0,X1] :
( visFreeVar(X0,X1)
| X2 != X3
| X0 != X3
| vvar(X2) != X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X4,X5] :
( X3 != X4
| ~ visFreeVar(X1,X2)
| X1 != X4
| vabs(X3,X0,X5) != X2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f250,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X4)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f251,plain,
! [X2,X3,X0,X1,X4] :
( visFreeVar(X0,X1)
| ~ visFreeVar(X3,X2)
| X0 != X3
| vapp(X2,X4) != X1 ),
inference(cnf_transformation,[],[f86]) ).
fof(f281,plain,
! [X0,X1] :
( ~ visFreeVar(X0,X1)
| vgensym(X1) != X0 ),
inference(cnf_transformation,[],[f106]) ).
fof(f378,plain,
! [X0,X1] :
( ~ valphaEquivalent(X1,X0)
| valphaEquivalent(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f380,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(f381,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(X1,X0,X3)
| vtcheck(X1,X2,X3)
| ~ valphaEquivalent(X0,X2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ valphaEquivalent(X0,X2)
| visFreeVar(X1,X0)
| ~ visFreeVar(X1,X2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f385,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( 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(cnf_transformation,[],[f163]) ).
fof(f386,plain,
vtcheck(sK89,vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f228]) ).
fof(f388,plain,
sK87 = sK90,
inference(cnf_transformation,[],[f228]) ).
fof(f389,plain,
~ vtcheck(vbind(sK87,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(cnf_transformation,[],[f228]) ).
fof(f390,plain,
~ vtcheck(vbind(sK90,sK88,sK89),vabs(sK90,sK91,veabs),sK92),
inference(definition_unfolding,[],[f389,f388]) ).
fof(f401,plain,
! [X3,X0,X1] :
( visFreeVar(X0,X1)
| X0 != X3
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f245]) ).
fof(f402,plain,
! [X3,X1] :
( visFreeVar(X3,X1)
| vvar(X3) != X1 ),
inference(equality_resolution,[],[f401]) ).
fof(f403,plain,
! [X3] : visFreeVar(X3,vvar(X3)),
inference(equality_resolution,[],[f402]) ).
fof(f408,plain,
! [X2,X0,X1,X4,X5] :
( ~ visFreeVar(X1,X2)
| X1 != X4
| vabs(X4,X0,X5) != X2 ),
inference(equality_resolution,[],[f247]) ).
fof(f409,plain,
! [X2,X0,X4,X5] :
( ~ visFreeVar(X4,X2)
| vabs(X4,X0,X5) != X2 ),
inference(equality_resolution,[],[f408]) ).
fof(f410,plain,
! [X0,X4,X5] : ~ visFreeVar(X4,vabs(X4,X0,X5)),
inference(equality_resolution,[],[f409]) ).
fof(f413,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X2)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f251]) ).
fof(f414,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X2) ),
inference(equality_resolution,[],[f413]) ).
fof(f415,plain,
! [X2,X3,X1,X4] :
( visFreeVar(X3,X1)
| ~ visFreeVar(X3,X4)
| vapp(X2,X4) != X1 ),
inference(equality_resolution,[],[f250]) ).
fof(f416,plain,
! [X2,X3,X4] :
( visFreeVar(X3,vapp(X2,X4))
| ~ visFreeVar(X3,X4) ),
inference(equality_resolution,[],[f415]) ).
fof(f441,plain,
! [X1] : ~ visFreeVar(vgensym(X1),X1),
inference(equality_resolution,[],[f281]) ).
fof(f503,definition,
sF93 = vbind(sK90,sK88,sK89),
introduced(definition,[new_symbols(definition,[sF93])],[function_definition]) ).
fof(f504,plain,
vbind(sK90,sK88,sK89) = sF93,
inference(reorient_equations,[],[f503]) ).
fof(f505,definition,
sF94 = vabs(sK90,sK91,veabs),
introduced(definition,[new_symbols(definition,[sF94])],[function_definition]) ).
fof(f506,plain,
vabs(sK90,sK91,veabs) = sF94,
inference(reorient_equations,[],[f505]) ).
fof(f507,plain,
~ vtcheck(sF93,sF94,sK92),
inference(definition_folding,[],[f390,f506,f504]) ).
fof(f509,plain,
vtcheck(sK89,sF94,sK92),
inference(definition_folding,[],[f386,f506]) ).
fof(f511,plain,
! [X2,X3,X0,X1] :
( ~ vtcheck(sK89,vabs(X0,X1,X2),X3)
| sK90 = X0
| visFreeVar(sK90,vabs(X0,X1,X2))
| vtcheck(sF93,vabs(X0,X1,X2),X3) ),
inference(superposition,[],[f385,f504]) ).
fof(f513,plain,
! [X0] :
( vtcheck(sK89,X0,sK92)
| ~ valphaEquivalent(sF94,X0) ),
inference(resolution,[],[f381,f509]) ).
fof(f516,plain,
! [X2,X0,X1] :
( vtcheck(sF93,vabs(X0,X1,X2),sK92)
| sK90 = X0
| visFreeVar(sK90,vabs(X0,X1,X2))
| ~ valphaEquivalent(sF94,vabs(X0,X1,X2)) ),
inference(resolution,[],[f513,f511]) ).
fof(f527,plain,
! [X2,X3,X0,X1] :
( ~ valphaEquivalent(sF94,vabs(X0,X1,X2))
| visFreeVar(sK90,vabs(X0,X1,X2))
| sK90 = X0
| vtcheck(sF93,X3,sK92)
| ~ valphaEquivalent(vabs(X0,X1,X2),X3) ),
inference(resolution,[],[f516,f381]) ).
fof(f529,plain,
! [X0] :
( valphaEquivalent(sF94,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)))
| visFreeVar(X0,veabs) ),
inference(superposition,[],[f380,f506]) ).
fof(f534,plain,
! [X0,X1] :
( ~ valphaEquivalent(vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)),X1)
| visFreeVar(sK90,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)))
| sK90 = X0
| vtcheck(sF93,X1,sK92)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f529,f527]) ).
fof(f729,plain,
! [X2,X3,X0,X1] :
( valphaEquivalent(vabs(X0,X1,vsubst(X2,vvar(X0),X3)),vabs(X2,X1,X3))
| visFreeVar(X0,X3) ),
inference(resolution,[],[f378,f380]) ).
fof(f981,plain,
! [X2,X3,X0,X1,X4] :
( ~ visFreeVar(X0,vabs(X4,X2,vsubst(X1,vvar(X4),X3)))
| visFreeVar(X0,vabs(X1,X2,X3))
| visFreeVar(X4,X3) ),
inference(resolution,[],[f382,f380]) ).
fof(f1406,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X0),
inference(resolution,[],[f441,f414]) ).
fof(f1407,plain,
! [X0,X1] : ~ visFreeVar(vgensym(vapp(X0,X1)),X1),
inference(resolution,[],[f441,f416]) ).
fof(f2570,plain,
! [X0] :
( visFreeVar(sK90,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)))
| sK90 = X0
| vtcheck(sF93,vabs(sK90,sK91,veabs),sK92)
| visFreeVar(X0,veabs)
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f534,f729]) ).
fof(f2573,plain,
! [X0] :
( visFreeVar(sK90,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)))
| sK90 = X0
| vtcheck(sF93,vabs(sK90,sK91,veabs),sK92)
| visFreeVar(X0,veabs) ),
inference(duplicate_literal_removal,[],[f2570]) ).
fof(f3371,plain,
! [X0] :
( vtcheck(sF93,sF94,sK92)
| visFreeVar(sK90,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)))
| sK90 = X0
| visFreeVar(X0,veabs) ),
inference(forward_demodulation,[],[f2573,f506]) ).
fof(f3372,plain,
! [X0] :
( visFreeVar(sK90,vabs(X0,sK91,vsubst(sK90,vvar(X0),veabs)))
| sK90 = X0
| visFreeVar(X0,veabs) ),
inference(forward_subsumption_resolution,[],[f3371,f507]) ).
fof(f3374,plain,
! [X0] :
( sK90 = X0
| visFreeVar(X0,veabs)
| visFreeVar(sK90,vabs(sK90,sK91,veabs))
| visFreeVar(X0,veabs) ),
inference(resolution,[],[f3372,f981]) ).
fof(f3376,plain,
! [X0] :
( sK90 = X0
| visFreeVar(X0,veabs)
| visFreeVar(sK90,vabs(sK90,sK91,veabs)) ),
inference(duplicate_literal_removal,[],[f3374]) ).
fof(f3377,plain,
! [X0] :
( visFreeVar(X0,veabs)
| sK90 = X0 ),
inference(forward_subsumption_resolution,[],[f3376,f410]) ).
fof(f3381,plain,
! [X0] : sK90 = vgensym(vapp(X0,veabs)),
inference(resolution,[],[f3377,f1407]) ).
fof(f3402,plain,
! [X0] : ~ visFreeVar(sK90,X0),
inference(superposition,[],[f1406,f3381]) ).
fof(f3406,plain,
$false,
inference(resolution,[],[f3402,f403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : COM124+1 : TPTP v9.3.1. Released v6.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:55:01 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.39/2.15 % (2222134)Detected formulas, will run a generic FOF schedule.
% 9.39/2.15 % (2222141)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=606445729:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.39/2.15 % (2222143)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3965422818:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.39/2.15 % (2222139)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=1992369694:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.39/2.15 % (2222145)dis-21_1_sil=8000:lcm=predicate:random_seed=3895102438:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 9.39/2.15 % (2222140)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=3555482851:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.39/2.15 % (2222142)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3901970242:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.39/2.15 % (2222144)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1805641302:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.39/2.15 % (2222142)Refutation not found, incomplete strategy
% 9.39/2.15 % (2222142)------------------------------
% 9.39/2.15 % (2222142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222142)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222142)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.15 % (2222142)Time elapsed: 0.002 s
% 9.39/2.15 % (2222142)Peak memory usage: 88 MB
% 9.39/2.15 % (2222142)Instructions burned: 2 (million)
% 9.39/2.15 % (2222143)Instruction limit reached!
% 9.39/2.15 % (2222143)------------------------------
% 9.39/2.15 % (2222143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222143)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222143)Termination reason: Instruction limit
% 9.39/2.15 % (2222143)Termination phase: Saturation
% 9.39/2.15 % (2222143)Time elapsed: 0.049 s
% 9.39/2.15 % (2222143)Peak memory usage: 88 MB
% 9.39/2.15 % (2222143)Instructions burned: 120 (million)
% 9.39/2.15 % (2222145)Instruction limit reached!
% 9.39/2.15 % (2222145)------------------------------
% 9.39/2.15 % (2222145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222145)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222145)Termination reason: Instruction limit
% 9.39/2.15 % (2222145)Termination phase: Saturation
% 9.39/2.15 % (2222145)Time elapsed: 0.077 s
% 9.39/2.15 % (2222145)Peak memory usage: 89 MB
% 9.39/2.15 % (2222145)Instructions burned: 131 (million)
% 9.39/2.15 % (2222144)Instruction limit reached!
% 9.39/2.15 % (2222144)------------------------------
% 9.39/2.15 % (2222144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222144)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222144)Termination reason: Instruction limit
% 9.39/2.15 % (2222144)Termination phase: Saturation
% 9.39/2.15 % (2222144)Time elapsed: 0.095 s
% 9.39/2.15 % (2222144)Peak memory usage: 90 MB
% 9.39/2.15 % (2222144)Instructions burned: 139 (million)
% 9.39/2.15 % (2222153)lrs+10_1_sil=8000:sp=occurrence:random_seed=3652324901:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 9.39/2.15 % (2222154)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2416318957:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.39/2.15 % (2222155)lrs+1011_1_sil=32000:sp=occurrence:random_seed=920035398:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.39/2.15 % (2222142)------------------------------
% 9.39/2.15 % (2222142)------------------------------
% 9.39/2.15 % (2222154)Instruction limit reached!
% 9.39/2.15 % (2222154)------------------------------
% 9.39/2.15 % (2222154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222154)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222154)Termination reason: Instruction limit
% 9.39/2.15 % (2222154)Termination phase: Saturation
% 9.39/2.15 % (2222154)Time elapsed: 0.085 s
% 9.39/2.15 % (2222154)Peak memory usage: 90 MB
% 9.39/2.15 % (2222154)Instructions burned: 158 (million)
% 9.39/2.15 % (2222153)Instruction limit reached!
% 9.39/2.15 % (2222153)------------------------------
% 9.39/2.15 % (2222153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222153)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222153)Termination reason: Instruction limit
% 9.39/2.15 % (2222153)Termination phase: Saturation
% 9.39/2.15 % (2222153)Time elapsed: 0.117 s
% 9.39/2.15 % (2222153)Peak memory usage: 89 MB
% 9.39/2.15 % (2222153)Instructions burned: 287 (million)
% 9.39/2.15 % (2222159)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=3725972178:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 9.39/2.15 % (2222160)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2276496713:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.39/2.15 % (2222161)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4259261242:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.39/2.15 % (2222155)Instruction limit reached!
% 9.39/2.15 % (2222155)------------------------------
% 9.39/2.15 % (2222155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222155)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222155)Termination reason: Instruction limit
% 9.39/2.15 % (2222155)Termination phase: Saturation
% 9.39/2.15 % (2222155)Time elapsed: 0.205 s
% 9.39/2.15 % (2222155)Peak memory usage: 92 MB
% 9.39/2.15 % (2222155)Instructions burned: 326 (million)
% 9.39/2.15 % (2222159)Instruction limit reached!
% 9.39/2.15 % (2222159)------------------------------
% 9.39/2.15 % (2222159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222159)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222159)Termination reason: Instruction limit
% 9.39/2.15 % (2222159)Termination phase: Saturation
% 9.39/2.15 % (2222159)Time elapsed: 0.113 s
% 9.39/2.15 % (2222159)Peak memory usage: 92 MB
% 9.39/2.15 % (2222159)Instructions burned: 249 (million)
% 9.39/2.15 % (2222165)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1569707578:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.39/2.15 % (2222160)Instruction limit reached!
% 9.39/2.15 % (2222160)------------------------------
% 9.39/2.15 % (2222160)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222160)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222160)Termination reason: Instruction limit
% 9.39/2.15 % (2222160)Termination phase: Saturation
% 9.39/2.15 % (2222160)Time elapsed: 0.167 s
% 9.39/2.15 % (2222160)Peak memory usage: 89 MB
% 9.39/2.15 % (2222160)Instructions burned: 295 (million)
% 9.39/2.15 % (2222166)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2341509453:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.39/2.15 % (2222165)Instruction limit reached!
% 9.39/2.15 % (2222165)------------------------------
% 9.39/2.15 % (2222165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222165)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222165)Termination reason: Instruction limit
% 9.39/2.15 % (2222165)Termination phase: Saturation
% 9.39/2.15 % (2222165)Time elapsed: 0.071 s
% 9.39/2.15 % (2222165)Peak memory usage: 89 MB
% 9.39/2.15 % (2222165)Instructions burned: 113 (million)
% 9.39/2.15 % (2222166)Instruction limit reached!
% 9.39/2.15 % (2222166)------------------------------
% 9.39/2.15 % (2222166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222166)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222166)Termination reason: Instruction limit
% 9.39/2.15 % (2222166)Termination phase: Saturation
% 9.39/2.15 % (2222166)Time elapsed: 0.066 s
% 9.39/2.15 % (2222166)Peak memory usage: 88 MB
% 9.39/2.15 % (2222166)Instructions burned: 127 (million)
% 9.39/2.15 % (2222168)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2511048623:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.39/2.15 % (2222170)lrs+10_1_sil=8000:sp=occurrence:random_seed=3605926743:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.39/2.15 % (2222168)Instruction limit reached!
% 9.39/2.15 % (2222168)------------------------------
% 9.39/2.15 % (2222168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222168)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222168)Termination reason: Instruction limit
% 9.39/2.15 % (2222168)Termination phase: Saturation
% 9.39/2.15 % (2222168)Time elapsed: 0.057 s
% 9.39/2.15 % (2222168)Peak memory usage: 88 MB
% 9.39/2.15 % (2222168)Instructions burned: 114 (million)
% 9.39/2.15 % (2222171)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1593205360:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 9.39/2.15 % (2222171)Refutation not found, incomplete strategy
% 9.39/2.15 % (2222171)------------------------------
% 9.39/2.15 % (2222171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222171)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222171)Termination reason: Refutation not found, incomplete strategy
% 9.39/2.15 % (2222171)Time elapsed: 0.002 s
% 9.39/2.15 % (2222171)Peak memory usage: 88 MB
% 9.39/2.15 % (2222171)Instructions burned: 2 (million)
% 9.39/2.15 % (2222174)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4273823070:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.39/2.15 % (2222171)------------------------------
% 9.39/2.15 % (2222171)------------------------------
% 9.39/2.15 % (2222139)First to succeed.
% 9.39/2.15 % (2222139)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2222134"
% 9.39/2.15 % (2222177)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3969106994:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 9.39/2.15 % (2222177)Instruction limit reached!
% 9.39/2.15 % (2222177)------------------------------
% 9.39/2.15 % (2222177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222177)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222177)Termination reason: Instruction limit
% 9.39/2.15 % (2222177)Termination phase: Saturation
% 9.39/2.15 % (2222177)Time elapsed: 0.076 s
% 9.39/2.15 % (2222177)Peak memory usage: 90 MB
% 9.39/2.15 % (2222177)Instructions burned: 134 (million)
% 9.39/2.15 % (2222170)Instruction limit reached!
% 9.39/2.15 % (2222170)------------------------------
% 9.39/2.15 % (2222170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.39/2.15 % (2222170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.39/2.15 % (2222170)CaDiCaL version: 2.1.3
% 9.39/2.15 % (2222170)Termination reason: Instruction limit
% 9.39/2.15 % (2222170)Termination phase: Saturation
% 9.39/2.15 % (2222170)Time elapsed: 0.550 s
% 9.39/2.15 % (2222170)Peak memory usage: 100 MB
% 9.39/2.15 % (2222170)Instructions burned: 907 (million)
% 9.39/2.15 % (2222139)Refutation found. Thanks to Tanya!
% 9.39/2.15 % SZS status Theorem for theBenchmark
% 9.39/2.15 % SZS output start Proof for theBenchmark
% See solution above
% 11.23/2.34 % (2222139)------------------------------
% 11.23/2.34 % (2222139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.23/2.34 % (2222139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.23/2.34 % (2222139)CaDiCaL version: 2.1.3
% 11.23/2.34 % (2222139)Termination reason: Refutation
% 11.23/2.34 % (2222139)Time elapsed: 1.093 s
% 11.23/2.34 % (2222139)Peak memory usage: 135 MB
% 11.23/2.34 % (2222139)Instructions burned: 1675 (million)
% 11.23/2.34 % (2222139)------------------------------
% 11.23/2.34 % (2222139)------------------------------
% 11.23/2.34 % (2222134)Success in time 1.502 s
% 11.23/2.34 % Vampire exiting
%------------------------------------------------------------------------------