%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM487+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:15:24 PM UTC 2026
% Result : Theorem 2.82s 1.29s
% Output : Refutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 14
% Syntax : Number of formulae : 85 ( 15 unt; 4 def)
% Number of atoms : 316 ( 96 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 394 ( 163 ~; 145 |; 68 &)
% ( 10 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 81 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f43,axiom,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1883) ).
fof(f44,conjecture,
( xr != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xn )
| sdtlseqdt0(xr,xn) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( xr != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xn )
| sdtlseqdt0(xr,xn) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f49,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f41]) ).
fof(f50,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f50]) ).
fof(f54,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f55,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f54]) ).
fof(f58,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f75,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f76,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f77]) ).
fof(f116,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f49]) ).
fof(f117,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
( xn = xr
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xr,X0) )
& ~ sdtlseqdt0(xr,xn) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f122,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f76]) ).
fof(f123,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK2(X0,X1))
& sdtpldt0(X0,sK2(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1))],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f78]) ).
fof(f126,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f125]) ).
fof(f145,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& aNaturalNumber0(sK10)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10)],[f117]) ).
fof(f147,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f150,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f152,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f155,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f173,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f176,plain,
! [X2,X0,X1] :
( sdtmndt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f215,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f217,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f241,plain,
sz00 != xp,
inference(cnf_transformation,[],[f145]) ).
fof(f246,plain,
xn = sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f43]) ).
fof(f247,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f249,plain,
! [X0] :
( xn = xr
| ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xr,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f250,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f173]) ).
fof(f251,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f176]) ).
fof(f268,definition,
( spl12_2
<=> xn = xr ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f270,plain,
( xn = xr
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f273,definition,
( spl12_3
<=> ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xr,X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f274,plain,
( ! [X0] :
( xn != sdtpldt0(xr,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f275,plain,
( spl12_3
| spl12_2 ),
inference(avatar_split_clause,[],[f249,f268,f273]) ).
fof(f286,definition,
( spl12_6
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f287,plain,
( aNaturalNumber0(sz00)
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f295,plain,
spl12_6,
inference(avatar_split_clause,[],[f147,f286]) ).
fof(f324,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(X0,xp) ),
inference(resolution,[],[f152,f215]) ).
fof(f556,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f250,f150]) ).
fof(f1395,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f251,f556]) ).
fof(f1396,plain,
! [X2,X0] :
( sdtmndt0(sdtpldt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1395,f150]) ).
fof(f1399,plain,
! [X0] :
( sz00 = sdtmndt0(X0,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X0) ),
inference(superposition,[],[f1396,f155]) ).
fof(f1417,plain,
! [X0] :
( sz00 = sdtmndt0(X0,X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(X0) ),
inference(duplicate_literal_removal,[],[f1399]) ).
fof(f1427,plain,
( ! [X0] :
( sz00 = sdtmndt0(X0,X0)
| ~ aNaturalNumber0(X0) )
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f1417,f287]) ).
fof(f1692,definition,
( spl12_44
<=> aNaturalNumber0(xr) ),
introduced(definition,[new_symbols(definition,[spl12_44])],[avatar_definition]) ).
fof(f1693,plain,
( aNaturalNumber0(xr)
| ~ spl12_44 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1717,plain,
spl12_44,
inference(avatar_split_clause,[],[f247,f1692]) ).
fof(f1736,plain,
( sdtpldt0(xp,xr) = sdtpldt0(xr,xp)
| ~ spl12_44 ),
inference(resolution,[],[f1693,f324]) ).
fof(f1779,plain,
( xn = sdtpldt0(xr,xp)
| ~ spl12_44 ),
inference(forward_demodulation,[],[f1736,f246]) ).
fof(f1781,plain,
( xn != xn
| ~ aNaturalNumber0(xp)
| ~ spl12_3
| ~ spl12_44 ),
inference(superposition,[],[f274,f1779]) ).
fof(f1782,plain,
( xp = sdtmndt0(xn,xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| ~ spl12_44 ),
inference(superposition,[],[f1396,f1779]) ).
fof(f1788,plain,
( ~ aNaturalNumber0(xp)
| ~ spl12_3
| ~ spl12_44 ),
inference(trivial_inequality_removal,[],[f1781]) ).
fof(f1791,plain,
( xp = sdtmndt0(xn,xr)
| ~ aNaturalNumber0(xr)
| ~ spl12_44 ),
inference(forward_subsumption_resolution,[],[f1782,f215]) ).
fof(f1792,plain,
( $false
| ~ spl12_3
| ~ spl12_44 ),
inference(forward_subsumption_resolution,[],[f1788,f215]) ).
fof(f1793,plain,
( ~ spl12_3
| ~ spl12_44 ),
inference(avatar_contradiction_clause,[],[f1792]) ).
fof(f1796,plain,
( xp = sdtmndt0(xn,xr)
| ~ spl12_44 ),
inference(forward_subsumption_resolution,[],[f1791,f1693]) ).
fof(f1948,plain,
( xp = sdtmndt0(xn,xn)
| ~ spl12_2
| ~ spl12_44 ),
inference(forward_demodulation,[],[f1796,f270]) ).
fof(f2224,plain,
( sz00 = xp
| ~ aNaturalNumber0(xn)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_44 ),
inference(superposition,[],[f1427,f1948]) ).
fof(f2234,plain,
( ~ aNaturalNumber0(xn)
| ~ spl12_2
| ~ spl12_6
| ~ spl12_44 ),
inference(forward_subsumption_resolution,[],[f2224,f241]) ).
fof(f2241,plain,
( $false
| ~ spl12_2
| ~ spl12_6
| ~ spl12_44 ),
inference(forward_subsumption_resolution,[],[f2234,f217]) ).
fof(f2242,plain,
( ~ spl12_2
| ~ spl12_6
| ~ spl12_44 ),
inference(avatar_contradiction_clause,[],[f2241]) ).
cnf(s2,plain,
( spl12_2
| spl12_3 ),
inference(sat_conversion,[],[f275]) ).
cnf(s6,plain,
spl12_6,
inference(sat_conversion,[],[f295]) ).
cnf(s74,plain,
spl12_44,
inference(sat_conversion,[],[f1717]) ).
cnf(s77,plain,
( ~ spl12_3
| ~ spl12_44 ),
inference(sat_conversion,[],[f1793]) ).
cnf(s115,plain,
( ~ spl12_2
| ~ spl12_6
| ~ spl12_44 ),
inference(sat_conversion,[],[f2242]) ).
cnf(s118,plain,
~ spl12_3,
inference(rat,[],[s77,s74]) ).
cnf(s123,plain,
~ spl12_2,
inference(rat,[],[s115,s74,s6]) ).
cnf(s137,plain,
$false,
inference(rat,[],[s2,s118,s123]) ).
fof(f2243,plain,
$false,
inference(avatar_sat_refutation,[],[s137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM487+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.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 : Sun Sep 27 20:11:11 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 2.82/1.29 % (892194)Detected formulas, will run a generic FOF schedule.
% 2.82/1.29 % (892202)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1484526717:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.82/1.29 % (892203)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2852424221:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.82/1.29 % (892204)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4191741013:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.82/1.29 % (892199)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=3262029077:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.82/1.29 % (892200)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=823506577:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.82/1.29 % (892201)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=1192993555:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.82/1.29 % (892205)dis-21_1_sil=8000:lcm=predicate:random_seed=2014470172: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)
% 2.82/1.29 % (892202)Instruction limit reached!
% 2.82/1.29 % (892202)------------------------------
% 2.82/1.29 % (892202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.29 % (892202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.29 % (892202)CaDiCaL version: 2.1.3
% 2.82/1.29 % (892202)Termination reason: Instruction limit
% 2.82/1.29 % (892202)Termination phase: Saturation
% 2.82/1.29 % (892202)Time elapsed: 0.036 s
% 2.82/1.29 % (892202)Peak memory usage: 89 MB
% 2.82/1.29 % (892202)Instructions burned: 110 (million)
% 2.82/1.29 % (892204)First to succeed.
% 2.82/1.29 % (892204)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-892194"
% 2.82/1.29 % (892203)Also succeeded, but the first one will report.
% 2.82/1.29 % (892205)Instruction limit reached!
% 2.82/1.29 % (892205)------------------------------
% 2.82/1.29 % (892205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.82/1.29 % (892205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.82/1.29 % (892205)CaDiCaL version: 2.1.3
% 2.82/1.29 % (892205)Termination reason: Instruction limit
% 2.82/1.29 % (892205)Termination phase: Saturation
% 2.82/1.29 % (892205)Time elapsed: 0.091 s
% 2.82/1.29 % (892205)Peak memory usage: 91 MB
% 2.82/1.29 % (892205)Instructions burned: 130 (million)
% 2.82/1.29 % (892213)lrs+10_1_sil=8000:sp=occurrence:random_seed=2855184923:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.82/1.29 % (892213)Also succeeded, but the first one will report.
% 2.82/1.29 % (892214)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3938490307:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.82/1.29 % (892204)Refutation found. Thanks to Tanya!
% 2.82/1.29 % SZS status Theorem for theBenchmark
% 2.82/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.67/1.48 % (892204)------------------------------
% 3.67/1.48 % (892204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.48 % (892204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.48 % (892204)CaDiCaL version: 2.1.3
% 3.67/1.48 % (892204)Termination reason: Refutation
% 3.67/1.48 % (892204)Time elapsed: 0.045 s
% 3.67/1.48 % (892204)Peak memory usage: 90 MB
% 3.67/1.48 % (892204)Instructions burned: 65 (million)
% 3.67/1.48 % (892204)------------------------------
% 3.67/1.48 % (892204)------------------------------
% 3.67/1.48 % (892194)Success in time 0.442 s
% 3.67/1.48 % Vampire exiting
%------------------------------------------------------------------------------