%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM501+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:24:34 PM UTC 2026
% Result : Theorem 12.56s 2.29s
% Output : Refutation 12.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 105 ( 22 unt; 3 def)
% Number of atoms : 393 ( 125 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 459 ( 171 ~; 171 |; 96 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 72 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
fof(f38,axiom,
! [X0] :
( ( aNaturalNumber0(X0)
& X0 != sz00
& X0 != sz10 )
=> ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,X0)
& isPrime0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimDiv) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f45,axiom,
( aNaturalNumber0(xk)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& xk = sdtsldt0(sdtasdt0(xn,xm),xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f48,axiom,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xr = sdtasdt0(X0,X1) )
| doDivides0(X0,xr) ) )
=> ( X0 = sz10
| X0 = xr ) )
& isPrime0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f49,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X0) )
| doDivides0(xr,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f50,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xr,X0) )
| doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f52,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(f54,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(X1,X2) = xr )
| doDivides0(X1,xr) ) )
=> ( sz10 = X1
| xr = X1 ) )
& isPrime0(xr) ),
inference(rectify,[],[f48]) ).
fof(f58,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f59,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f58]) ).
fof(f65,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f66,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f104,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f105,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f104]) ).
fof(f108,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f109,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f108]) ).
fof(f118,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f119,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f118]) ).
fof(f120,plain,
! [X0] :
( ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,X0)
& isPrime0(X1) )
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0 ),
inference(ennf_transformation,[],[f38]) ).
fof(f121,plain,
! [X0] :
( ? [X1] :
( aNaturalNumber0(X1)
& doDivides0(X1,X0)
& isPrime0(X1) )
| ~ aNaturalNumber0(X0)
| sz00 = X0
| sz10 = X0 ),
inference(flattening,[],[f120]) ).
fof(f124,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,[],[f52]) ).
fof(f125,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,[],[f124]) ).
fof(f129,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(ennf_transformation,[],[f54]) ).
fof(f130,plain,
( aNaturalNumber0(xr)
& ? [X0] :
( aNaturalNumber0(X0)
& xk = sdtasdt0(xr,X0) )
& doDivides0(xr,xk)
& xr != sz00
& xr != sz10
& ! [X1] :
( sz10 = X1
| xr = X1
| ~ aNaturalNumber0(X1)
| ( ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X1,X2) != xr )
& ~ doDivides0(X1,xr) ) )
& isPrime0(xr) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,xm) != sdtasdt0(xr,X0) )
& ~ doDivides0(xr,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f134,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f136,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f141,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f105]) ).
fof(f184,plain,
! [X2,X0,X1] :
( doDivides0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f194,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz10 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f196,plain,
! [X0] :
( isPrime0(sK3(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ),
inference(cnf_transformation,[],[f121]) ).
fof(f197,plain,
! [X0] :
( doDivides0(sK3(X0),X0)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ),
inference(cnf_transformation,[],[f121]) ).
fof(f198,plain,
! [X0] :
( aNaturalNumber0(sK3(X0))
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sz10 = X0 ),
inference(cnf_transformation,[],[f121]) ).
fof(f199,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f200,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f201,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f235,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| ~ aNaturalNumber0(X0)
| xp = X0
| sz10 = X0 ),
inference(cnf_transformation,[],[f125]) ).
fof(f240,plain,
sz10 != xp,
inference(cnf_transformation,[],[f125]) ).
fof(f241,plain,
sz00 != xp,
inference(cnf_transformation,[],[f125]) ).
fof(f255,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f256,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f268,plain,
doDivides0(xr,xk),
inference(cnf_transformation,[],[f130]) ).
fof(f269,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f130]) ).
fof(f271,plain,
~ doDivides0(xr,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f131]) ).
fof(f277,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f180]) ).
fof(f282,plain,
( ~ aNaturalNumber0(sz10)
| ~ isPrime0(sz10) ),
inference(equality_resolution,[],[f194]) ).
fof(f287,plain,
~ isPrime0(sz10),
inference(forward_subsumption_resolution,[],[f282,f134]) ).
fof(f298,plain,
~ doDivides0(xr,sdtasdt0(xp,xk)),
inference(superposition,[],[f271,f255]) ).
fof(f404,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f136,f255]) ).
fof(f407,plain,
( aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f404,f201]) ).
fof(f409,plain,
aNaturalNumber0(sdtasdt0(xp,xk)),
inference(forward_subsumption_resolution,[],[f407,f200]) ).
fof(f596,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| sz10 = xp
| ~ aNaturalNumber0(sK3(xp))
| xp = sK3(xp)
| sz10 = sK3(xp) ),
inference(resolution,[],[f197,f235]) ).
fof(f599,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| sz10 = xp
| xp = sK3(xp)
| sz10 = sK3(xp) ),
inference(forward_subsumption_resolution,[],[f596,f198]) ).
fof(f601,plain,
( ~ aNaturalNumber0(xp)
| sz10 = xp
| xp = sK3(xp)
| sz10 = sK3(xp) ),
inference(forward_subsumption_resolution,[],[f599,f241]) ).
fof(f603,plain,
( sz10 = xp
| xp = sK3(xp)
| sz10 = sK3(xp) ),
inference(forward_subsumption_resolution,[],[f601,f199]) ).
fof(f605,plain,
( xp = sK3(xp)
| sz10 = sK3(xp) ),
inference(forward_subsumption_resolution,[],[f603,f240]) ).
fof(f699,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f277,f136]) ).
fof(f934,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr)
| ~ doDivides0(X0,sdtasdt0(xp,xk))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(resolution,[],[f184,f298]) ).
fof(f942,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(xp,xk))
| ~ doDivides0(xr,X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(forward_subsumption_resolution,[],[f934,f269]) ).
fof(f946,plain,
! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(xr,X0) ),
inference(forward_subsumption_resolution,[],[f942,f409]) ).
fof(f1504,definition,
( spl14_1
<=> aNaturalNumber0(sK3(xp)) ),
introduced(definition,[new_symbols(definition,[spl14_1])],[avatar_definition]) ).
fof(f1505,plain,
( aNaturalNumber0(sK3(xp))
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1506,plain,
( ~ aNaturalNumber0(sK3(xp))
| spl14_1 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1558,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| sz10 = xp
| spl14_1 ),
inference(resolution,[],[f1506,f198]) ).
fof(f1561,plain,
( ~ aNaturalNumber0(xp)
| sz10 = xp
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f1558,f241]) ).
fof(f1562,plain,
( sz10 = xp
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f1561,f199]) ).
fof(f1563,plain,
( $false
| spl14_1 ),
inference(forward_subsumption_resolution,[],[f1562,f240]) ).
fof(f1564,plain,
spl14_1,
inference(avatar_contradiction_clause,[],[f1563]) ).
fof(f1647,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sK3(xp),X0) = sdtasdt0(X0,sK3(xp)) )
| ~ spl14_1 ),
inference(resolution,[],[f1505,f141]) ).
fof(f7195,plain,
( sdtasdt0(sK3(xp),xk) = sdtasdt0(xk,sK3(xp))
| ~ spl14_1 ),
inference(resolution,[],[f1647,f256]) ).
fof(f8950,definition,
( spl14_31
<=> sz10 = sK3(xp) ),
introduced(definition,[new_symbols(definition,[spl14_31])],[avatar_definition]) ).
fof(f8952,plain,
( sz10 = sK3(xp)
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f8950]) ).
fof(f8954,definition,
( spl14_32
<=> xp = sK3(xp) ),
introduced(definition,[new_symbols(definition,[spl14_32])],[avatar_definition]) ).
fof(f8956,plain,
( xp = sK3(xp)
| ~ spl14_32 ),
inference(avatar_component_clause,[],[f8954]) ).
fof(f8957,plain,
( spl14_31
| spl14_32 ),
inference(avatar_split_clause,[],[f605,f8954,f8950]) ).
fof(f9033,plain,
( isPrime0(sz10)
| sz00 = xp
| ~ aNaturalNumber0(xp)
| sz10 = xp
| ~ spl14_31 ),
inference(superposition,[],[f196,f8952]) ).
fof(f9034,plain,
( sz00 = xp
| ~ aNaturalNumber0(xp)
| sz10 = xp
| ~ spl14_31 ),
inference(forward_subsumption_resolution,[],[f9033,f287]) ).
fof(f9062,plain,
( ~ aNaturalNumber0(xp)
| sz10 = xp
| ~ spl14_31 ),
inference(forward_subsumption_resolution,[],[f9034,f241]) ).
fof(f9066,plain,
( sz10 = xp
| ~ spl14_31 ),
inference(forward_subsumption_resolution,[],[f9062,f199]) ).
fof(f9067,plain,
( $false
| ~ spl14_31 ),
inference(forward_subsumption_resolution,[],[f9066,f240]) ).
fof(f9068,plain,
~ spl14_31,
inference(avatar_contradiction_clause,[],[f9067]) ).
fof(f9160,plain,
( sdtasdt0(xp,xk) = sdtasdt0(xk,xp)
| ~ spl14_1
| ~ spl14_32 ),
inference(superposition,[],[f7195,f8956]) ).
fof(f24486,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| ~ spl14_1
| ~ spl14_32 ),
inference(superposition,[],[f699,f9160]) ).
fof(f24487,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xk)
| ~ spl14_1
| ~ spl14_32 ),
inference(forward_subsumption_resolution,[],[f24486,f199]) ).
fof(f24509,plain,
( doDivides0(xk,sdtasdt0(xp,xk))
| ~ spl14_1
| ~ spl14_32 ),
inference(forward_subsumption_resolution,[],[f24487,f256]) ).
fof(f24643,plain,
( ~ aNaturalNumber0(xk)
| ~ doDivides0(xr,xk)
| ~ spl14_1
| ~ spl14_32 ),
inference(resolution,[],[f24509,f946]) ).
fof(f24655,plain,
( ~ doDivides0(xr,xk)
| ~ spl14_1
| ~ spl14_32 ),
inference(forward_subsumption_resolution,[],[f24643,f256]) ).
fof(f24661,plain,
( $false
| ~ spl14_1
| ~ spl14_32 ),
inference(forward_subsumption_resolution,[],[f24655,f268]) ).
fof(f24662,plain,
( ~ spl14_1
| ~ spl14_32 ),
inference(avatar_contradiction_clause,[],[f24661]) ).
cnf(s2,plain,
spl14_1,
inference(sat_conversion,[],[f1564]) ).
cnf(s31,plain,
( spl14_31
| spl14_32 ),
inference(sat_conversion,[],[f8957]) ).
cnf(s32,plain,
~ spl14_31,
inference(sat_conversion,[],[f9068]) ).
cnf(s43,plain,
( ~ spl14_1
| ~ spl14_32 ),
inference(sat_conversion,[],[f24662]) ).
cnf(s45,plain,
spl14_32,
inference(rat,[],[s31,s32]) ).
cnf(s46,plain,
~ spl14_1,
inference(rat,[],[s43,s45]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s2,s46]) ).
fof(f24665,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM501+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n016.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 20:18:32 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 12.56/2.29 % (2962960)Will run a generic schedule for satisfiability detection.
% 12.56/2.29 % (2962966)% WARNING: option uhcvi not known.
% 12.56/2.29 % (2962966)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=286512946:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.56/2.29 % (2962965)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1089182142_2999 on theBenchmark for (2999ds/0Mi)
% 12.56/2.29 % (2962967)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3299106588:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.56/2.29 % (2962970)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2931684412:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.56/2.29 % (2962971)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3401119135:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.56/2.29 % (2962968)dis+10_1_sil=32000:sp=arity:random_seed=3912318306:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.56/2.29 % (2962969)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=46747004:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.56/2.29 % Detected minimum model sizes of [3]
% 12.56/2.29 % Detected maximum model sizes of [max]
% 12.56/2.29 % TRYING [3]
% 12.56/2.29 % TRYING [4]
% 12.56/2.29 % TRYING [5]
% 12.56/2.29 % (2962968)Instruction limit reached!
% 12.56/2.29 % (2962968)------------------------------
% 12.56/2.29 % (2962968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962968)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962968)Termination reason: Instruction limit
% 12.56/2.29 % (2962968)Termination phase: Saturation
% 12.56/2.29 % (2962968)Time elapsed: 0.056 s
% 12.56/2.29 % (2962968)Peak memory usage: 12 MB
% 12.56/2.29 % (2962968)Instructions burned: 104 (million)
% 12.56/2.29 % (2962969)Instruction limit reached!
% 12.56/2.29 % (2962969)------------------------------
% 12.56/2.29 % (2962969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962969)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962969)Termination reason: Instruction limit
% 12.56/2.29 % (2962969)Termination phase: Saturation
% 12.56/2.29 % (2962969)Time elapsed: 0.064 s
% 12.56/2.29 % (2962969)Peak memory usage: 13 MB
% 12.56/2.29 % (2962969)Instructions burned: 116 (million)
% 12.56/2.29 % (2962970)Instruction limit reached!
% 12.56/2.29 % (2962970)------------------------------
% 12.56/2.29 % (2962970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962970)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962970)Termination reason: Instruction limit
% 12.56/2.29 % (2962970)Termination phase: Saturation
% 12.56/2.29 % (2962970)Time elapsed: 0.075 s
% 12.56/2.29 % (2962970)Peak memory usage: 13 MB
% 12.56/2.29 % (2962970)Instructions burned: 136 (million)
% 12.56/2.29 % (2962979)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=669343039:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 12.56/2.29 % (2962980)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2651964141:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 12.56/2.29 % Detected minimum model sizes of [3]
% 12.56/2.29 % Detected maximum model sizes of [max]
% 12.56/2.29 % TRYING [3]
% 12.56/2.29 % (2962981)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=2769920713:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.56/2.29 % TRYING [4]
% 12.56/2.29 % (2962971)Instruction limit reached!
% 12.56/2.29 % (2962971)------------------------------
% 12.56/2.29 % (2962971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962971)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962971)Termination reason: Instruction limit
% 12.56/2.29 % (2962971)Termination phase: Saturation
% 12.56/2.29 % (2962971)Time elapsed: 0.096 s
% 12.56/2.29 % (2962971)Peak memory usage: 15 MB
% 12.56/2.29 % (2962971)Instructions burned: 160 (million)
% 12.56/2.29 % (2962985)ott-21_1_sil=16000:fs=off:random_seed=3024155641:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.56/2.29 % TRYING [5]
% 12.56/2.29 % TRYING [6]
% 12.56/2.29 % (2962980)Instruction limit reached!
% 12.56/2.29 % (2962980)------------------------------
% 12.56/2.29 % (2962980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962980)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962980)Termination reason: Instruction limit
% 12.56/2.29 % (2962980)Termination phase: Saturation
% 12.56/2.29 % (2962980)Time elapsed: 0.065 s
% 12.56/2.29 % (2962980)Peak memory usage: 12 MB
% 12.56/2.29 % (2962980)Instructions burned: 131 (million)
% 12.56/2.29 % (2962987)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3861333384:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 12.56/2.29 % (2962985)Instruction limit reached!
% 12.56/2.29 % (2962985)------------------------------
% 12.56/2.29 % (2962985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962985)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962985)Termination reason: Instruction limit
% 12.56/2.29 % (2962985)Termination phase: Saturation
% 12.56/2.29 % (2962985)Time elapsed: 0.095 s
% 12.56/2.29 % (2962985)Peak memory usage: 13 MB
% 12.56/2.29 % (2962985)Instructions burned: 181 (million)
% 12.56/2.29 % TRYING [6]
% 12.56/2.29 % (2962989)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2343000888:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.56/2.29 % Detected minimum model sizes of [3]
% 12.56/2.29 % Detected maximum model sizes of [max]
% 12.56/2.29 % TRYING [3]
% 12.56/2.29 % TRYING [4]
% 12.56/2.29 % (2962979)Instruction limit reached!
% 12.56/2.29 % (2962979)------------------------------
% 12.56/2.29 % (2962979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962979)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962979)Termination reason: Instruction limit
% 12.56/2.29 % (2962979)Termination phase: Finite model building constraint generation
% 12.56/2.29 % (2962979)Time elapsed: 0.254 s
% 12.56/2.29 % (2962979)Peak memory usage: 32 MB
% 12.56/2.29 % (2962979)Instructions burned: 716 (million)
% 12.56/2.29 % (2962991)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1877184420:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 12.56/2.29 % TRYING [7]
% 12.56/2.29 % TRYING [5]
% 12.56/2.29 % (2962981)Instruction limit reached!
% 12.56/2.29 % (2962981)------------------------------
% 12.56/2.29 % (2962981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962981)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962981)Termination reason: Instruction limit
% 12.56/2.29 % (2962981)Termination phase: Saturation
% 12.56/2.29 % (2962981)Time elapsed: 0.373 s
% 12.56/2.29 % (2962981)Peak memory usage: 20 MB
% 12.56/2.29 % (2962981)Instructions burned: 685 (million)
% 12.56/2.29 % (2962987)Instruction limit reached!
% 12.56/2.29 % (2962987)------------------------------
% 12.56/2.29 % (2962987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962987)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962987)Termination reason: Instruction limit
% 12.56/2.29 % (2962987)Termination phase: Saturation
% 12.56/2.29 % (2962987)Time elapsed: 0.305 s
% 12.56/2.29 % (2962987)Peak memory usage: 14 MB
% 12.56/2.29 % (2962987)Instructions burned: 477 (million)
% 12.56/2.29 % (2962993)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=611170449:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 12.56/2.29 % (2962994)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=2146641123:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 12.56/2.29 % (2962989)Instruction limit reached!
% 12.56/2.29 % (2962989)------------------------------
% 12.56/2.29 % (2962989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962989)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962989)Termination reason: Instruction limit
% 12.56/2.29 % (2962989)Termination phase: Finite model building SAT solving
% 12.56/2.29 % (2962989)Time elapsed: 0.353 s
% 12.56/2.29 % (2962989)Peak memory usage: 23 MB
% 12.56/2.29 % (2962989)Instructions burned: 866 (million)
% 12.56/2.29 % (2962997)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3162136046:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 12.56/2.29 % TRYING [14]
% 12.56/2.29 % TRYING [8]
% 12.56/2.29 % (2962993)Instruction limit reached!
% 12.56/2.29 % (2962993)------------------------------
% 12.56/2.29 % (2962993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962993)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962993)Termination reason: Instruction limit
% 12.56/2.29 % (2962993)Termination phase: Finite model building constraint generation
% 12.56/2.29 % (2962993)Time elapsed: 0.336 s
% 12.56/2.29 % (2962993)Peak memory usage: 77 MB
% 12.56/2.29 % (2962993)Instructions burned: 890 (million)
% 12.56/2.29 % (2962999)fmb+10_1_sil=64000:random_seed=519869074:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 12.56/2.29 % Detected minimum model sizes of [3]
% 12.56/2.29 % Detected maximum model sizes of [max]
% 12.56/2.29 % TRYING [3]
% 12.56/2.29 % (2962994)Instruction limit reached!
% 12.56/2.29 % (2962994)------------------------------
% 12.56/2.29 % (2962994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962994)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962994)Termination reason: Instruction limit
% 12.56/2.29 % (2962994)Termination phase: Saturation
% 12.56/2.29 % (2962994)Time elapsed: 0.368 s
% 12.56/2.29 % (2962994)Peak memory usage: 20 MB
% 12.56/2.29 % (2962994)Instructions burned: 692 (million)
% 12.56/2.29 % TRYING [4]
% 12.56/2.29 % (2963001)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1626656510:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 12.56/2.29 % Detected minimum model sizes of [3]
% 12.56/2.29 % Detected maximum model sizes of [max]
% 12.56/2.29 % TRYING [20]
% 12.56/2.29 % TRYING [5]
% 12.56/2.29 % (2962991)Instruction limit reached!
% 12.56/2.29 % (2962991)------------------------------
% 12.56/2.29 % (2962991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962991)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962991)Termination reason: Instruction limit
% 12.56/2.29 % (2962991)Termination phase: Saturation
% 12.56/2.29 % (2962991)Time elapsed: 0.657 s
% 12.56/2.29 % (2962991)Peak memory usage: 24 MB
% 12.56/2.29 % (2962991)Instructions burned: 1179 (million)
% 12.56/2.29 % (2963003)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4017575048:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 12.56/2.29 % Detected minimum model sizes of [3]
% 12.56/2.29 % Detected maximum model sizes of [max]
% 12.56/2.29 % TRYING [8]
% 12.56/2.29 % (2962997)Instruction limit reached!
% 12.56/2.29 % (2962997)------------------------------
% 12.56/2.29 % (2962997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2962997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2962997)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2962997)Termination reason: Instruction limit
% 12.56/2.29 % (2962997)Termination phase: Saturation
% 12.56/2.29 % (2962997)Time elapsed: 0.492 s
% 12.56/2.29 % (2962997)Peak memory usage: 19 MB
% 12.56/2.29 % (2962997)Instructions burned: 879 (million)
% 12.56/2.29 % (2963005)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2115925687:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 12.56/2.29 % TRYING [6]
% 12.56/2.29 % (2963003)Instruction limit reached!
% 12.56/2.29 % (2963003)------------------------------
% 12.56/2.29 % (2963003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2963003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2963003)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2963003)Termination reason: Instruction limit
% 12.56/2.29 % (2963003)Termination phase: Finite model building constraint generation
% 12.56/2.29 % (2963003)Time elapsed: 0.338 s
% 12.56/2.29 % (2963003)Peak memory usage: 69 MB
% 12.56/2.29 % (2963003)Instructions burned: 923 (million)
% 12.56/2.29 % (2963007)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=585331050:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 12.56/2.29 % TRYING [9]
% 12.56/2.29 % (2963005) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2962960-2963005"...
% 12.56/2.29 % (2963005)...printing done.
% 12.56/2.29 % (2963005)Refutation found. Thanks to Tanya!
% 12.56/2.29 % SZS status Theorem for theBenchmark
% 12.56/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 12.56/2.29 % (2963005)------------------------------
% 12.56/2.29 % (2963005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.56/2.29 % (2963005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.56/2.29 % (2963005)CaDiCaL version: 2.1.3
% 12.56/2.29 % (2963005)Termination reason: Refutation
% 12.56/2.29 % (2963005)Time elapsed: 0.685 s
% 12.56/2.29 % (2963005)Peak memory usage: 20 MB
% 12.56/2.29 % (2963005)Instructions burned: 1296 (million)
% 12.56/2.29 % (2962960)Success in time 1.866 s
% 12.56/2.29 % Vampire exiting
%------------------------------------------------------------------------------