%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM473+2 : 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 : n010.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 12:15:20 PM UTC 2026
% Result : Theorem 2.70s 1.27s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 26
% Syntax : Number of formulae : 176 ( 44 unt; 9 def)
% Number of atoms : 560 ( 136 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 649 ( 265 ~; 284 |; 72 &)
% ( 13 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 105 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f20,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> sdtlseqdt0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLERefl) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( X0 != sz00
& X1 != X2
& sdtlseqdt0(X1,X2) )
=> ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiv) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X0) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
( aNaturalNumber0(xp)
& xm = sdtasdt0(xl,xp)
& xp = sdtsldt0(xm,xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
( aNaturalNumber0(xq)
& sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
& xq = sdtsldt0(sdtpldt0(xm,xn),xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
fof(f39,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xm,X0) = sdtpldt0(xm,xn) )
& sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1409) ).
fof(f40,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xq )
| sdtlseqdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xq )
| sdtlseqdt0(xp,xq) ),
inference(negated_conjecture,[status(cth)],[f40]) ).
fof(f42,plain,
( ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm)
& ? [X1] :
( aNaturalNumber0(X1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,X1) )
& doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(rectify,[],[f35]) ).
fof(f44,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xq != sdtpldt0(xp,X0) )
& ~ sdtlseqdt0(xp,xq) ),
inference(ennf_transformation,[],[f41]) ).
fof(f59,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f60,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f59]) ).
fof(f65,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f66,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f69]) ).
fof(f75,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f76,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f78,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f80,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f79]) ).
fof(f83,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f84,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f83]) ).
fof(f87,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f88,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f92,plain,
( aNaturalNumber0(sK0)
& xm = sdtasdt0(xl,sK0)
& doDivides0(xl,xm)
& aNaturalNumber0(sK1)
& sdtpldt0(xm,xn) = sdtasdt0(xl,sK1)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f42]) ).
fof(f93,plain,
( aNaturalNumber0(sK2)
& sdtpldt0(xm,xn) = sdtpldt0(xm,sK2)
& sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f39]) ).
fof(f94,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f66]) ).
fof(f95,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1))],[f95]) ).
fof(f97,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f80]) ).
fof(f98,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtsldt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| sdtsldt0(X1,X0) != X2 ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f103,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f104,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f106,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f107,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f92]) ).
fof(f111,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f112,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f113,plain,
xm = sdtasdt0(xl,xp),
inference(cnf_transformation,[],[f37]) ).
fof(f114,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f115,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f116,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cnf_transformation,[],[f38]) ).
fof(f117,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f38]) ).
fof(f118,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f93]) ).
fof(f121,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f44]) ).
fof(f122,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| xq != sdtpldt0(xp,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f132,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f137,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f141,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f147,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f151,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f152,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f155,plain,
! [X2,X0,X1] :
( sdtsldt0(X1,X0) = X2
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f160,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f164,plain,
! [X0] :
( sdtlseqdt0(X0,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f168,definition,
~ sP5(sz00),
introduced(definition,[new_symbols(definition,[sP5])],[inequality_splitting_name_introduction]) ).
fof(f169,plain,
sP5(xl),
inference(inequality_splitting,[],[f111,f168]) ).
fof(f170,definition,
~ sP6(xq),
introduced(definition,[new_symbols(definition,[sP6])],[inequality_splitting_name_introduction]) ).
fof(f171,plain,
! [X0] :
( sP6(sdtpldt0(xp,X0))
| ~ aNaturalNumber0(X0) ),
inference(inequality_splitting,[],[f122,f170]) ).
fof(f178,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f137]) ).
fof(f179,plain,
! [X2,X0] :
( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f155]) ).
fof(f185,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)),
inference(forward_demodulation,[],[f116,f115]) ).
fof(f186,plain,
aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl)),
inference(forward_demodulation,[],[f117,f115]) ).
fof(f187,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(forward_demodulation,[],[f113,f112]) ).
fof(f188,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(forward_demodulation,[],[f114,f112]) ).
fof(f189,plain,
sdtasdt0(xl,sK1) = sdtasdt0(xl,sdtsldt0(sdtasdt0(xl,sK1),xl)),
inference(forward_demodulation,[],[f185,f106]) ).
fof(f190,plain,
aNaturalNumber0(sdtsldt0(sdtasdt0(xl,sK1),xl)),
inference(forward_demodulation,[],[f186,f106]) ).
fof(f191,plain,
( sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(resolution,[],[f121,f160]) ).
fof(f192,plain,
( sdtlseqdt0(xq,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f191,f112]) ).
fof(f193,plain,
( sdtlseqdt0(sdtsldt0(sdtpldt0(xm,xn),xl),sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f192,f115]) ).
fof(f194,plain,
( sdtlseqdt0(sdtsldt0(sdtasdt0(xl,sK1),xl),sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f193,f106]) ).
fof(f195,plain,
( ~ aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))
| sdtlseqdt0(sdtsldt0(sdtasdt0(xl,sK1),xl),sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f194,f115]) ).
fof(f196,plain,
( ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xl,sK1),xl))
| sdtlseqdt0(sdtsldt0(sdtasdt0(xl,sK1),xl),sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f195,f106]) ).
fof(f197,plain,
( sdtlseqdt0(sdtsldt0(sdtasdt0(xl,sK1),xl),sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f196,f190]) ).
fof(f198,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sdtlseqdt0(sdtsldt0(sdtasdt0(xl,sK1),xl),sdtsldt0(xm,xl)) ),
inference(forward_demodulation,[],[f197,f112]) ).
fof(f199,plain,
sdtlseqdt0(sdtsldt0(sdtasdt0(xl,sK1),xl),sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f198,f188]) ).
fof(f202,plain,
( sP6(xp)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f171,f151]) ).
fof(f207,plain,
( sP6(xp)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f202,f152]) ).
fof(f211,plain,
( sP6(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xp) ),
inference(forward_demodulation,[],[f207,f112]) ).
fof(f215,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| sP6(sdtsldt0(xm,xl)) ),
inference(forward_demodulation,[],[f211,f112]) ).
fof(f219,plain,
sP6(sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f215,f188]) ).
fof(f238,plain,
( sdtlseqdt0(sK1,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(sK1)
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK1))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK1)) ),
inference(superposition,[],[f199,f179]) ).
fof(f239,plain,
( sdtlseqdt0(sK1,sdtsldt0(xm,xl))
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK1))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[],[f238,f107]) ).
fof(f242,plain,
( sdtlseqdt0(sK1,sdtsldt0(xm,xl))
| sz00 = xl
| ~ doDivides0(xl,sdtasdt0(xl,sK1))
| ~ aNaturalNumber0(sdtasdt0(xl,sK1)) ),
inference(forward_subsumption_resolution,[],[f239,f104]) ).
fof(f246,definition,
( spl10_1
<=> aNaturalNumber0(sdtasdt0(xl,sK1)) ),
introduced(definition,[new_symbols(definition,[spl10_1])],[avatar_definition]) ).
fof(f247,plain,
( aNaturalNumber0(sdtasdt0(xl,sK1))
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f248,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK1))
| spl10_1 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl10_2
<=> doDivides0(xl,sdtasdt0(xl,sK1)) ),
introduced(definition,[new_symbols(definition,[spl10_2])],[avatar_definition]) ).
fof(f252,plain,
( ~ doDivides0(xl,sdtasdt0(xl,sK1))
| spl10_2 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f254,definition,
( spl10_3
<=> sz00 = xl ),
introduced(definition,[new_symbols(definition,[spl10_3])],[avatar_definition]) ).
fof(f255,plain,
( sz00 != xl
| spl10_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f256,plain,
( sz00 = xl
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl10_4
<=> sdtlseqdt0(sK1,sdtsldt0(xm,xl)) ),
introduced(definition,[new_symbols(definition,[spl10_4])],[avatar_definition]) ).
fof(f260,plain,
( sdtlseqdt0(sK1,sdtsldt0(xm,xl))
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_3
| spl10_4 ),
inference(avatar_split_clause,[],[f242,f258,f254,f250,f246]) ).
fof(f271,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sK1)
| spl10_1 ),
inference(resolution,[],[f248,f132]) ).
fof(f272,plain,
( ~ aNaturalNumber0(sK1)
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f271,f104]) ).
fof(f273,plain,
( $false
| spl10_1 ),
inference(forward_subsumption_resolution,[],[f272,f107]) ).
fof(f274,plain,
spl10_1,
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f275,plain,
( ~ aNaturalNumber0(sK1)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK1))
| spl10_2 ),
inference(resolution,[],[f252,f178]) ).
fof(f276,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtasdt0(xl,sK1))
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f275,f107]) ).
fof(f277,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK1))
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f276,f104]) ).
fof(f278,plain,
( $false
| ~ spl10_1
| spl10_2 ),
inference(forward_subsumption_resolution,[],[f277,f247]) ).
fof(f279,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f278]) ).
fof(f293,definition,
( spl10_7
<=> sdtsldt0(xm,xl) = sK1 ),
introduced(definition,[new_symbols(definition,[spl10_7])],[avatar_definition]) ).
fof(f294,plain,
( sdtsldt0(xm,xl) != sK1
| spl10_7 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f295,plain,
( sdtsldt0(xm,xl) = sK1
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f445,plain,
( sP5(sz00)
| ~ spl10_3 ),
inference(superposition,[],[f169,f256]) ).
fof(f456,plain,
( $false
| ~ spl10_3 ),
inference(forward_subsumption_resolution,[],[f445,f168]) ).
fof(f457,plain,
~ spl10_3,
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f472,plain,
~ sdtlseqdt0(sdtsldt0(xm,xl),xq),
inference(superposition,[],[f121,f112]) ).
fof(f473,plain,
~ sdtlseqdt0(sdtsldt0(xm,xl),sdtsldt0(sdtpldt0(xm,xn),xl)),
inference(forward_demodulation,[],[f472,f115]) ).
fof(f474,plain,
~ sdtlseqdt0(sdtsldt0(xm,xl),sdtsldt0(sdtasdt0(xl,sK1),xl)),
inference(forward_demodulation,[],[f473,f106]) ).
fof(f475,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| xm = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f118,f163]) ).
fof(f478,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| xm = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f475,f103]) ).
fof(f480,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,sK1),xm)
| xm = sdtpldt0(xm,xn)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f478,f106]) ).
fof(f482,plain,
( xm = sdtasdt0(xl,sK1)
| ~ sdtlseqdt0(sdtasdt0(xl,sK1),xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_demodulation,[],[f480,f106]) ).
fof(f484,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,sK1))
| xm = sdtasdt0(xl,sK1)
| ~ sdtlseqdt0(sdtasdt0(xl,sK1),xm) ),
inference(forward_demodulation,[],[f482,f106]) ).
fof(f485,plain,
( xm = sdtasdt0(xl,sK1)
| ~ sdtlseqdt0(sdtasdt0(xl,sK1),xm)
| ~ spl10_1 ),
inference(forward_subsumption_resolution,[],[f484,f247]) ).
fof(f487,definition,
( spl10_23
<=> sdtlseqdt0(sdtasdt0(xl,sK1),xm) ),
introduced(definition,[new_symbols(definition,[spl10_23])],[avatar_definition]) ).
fof(f489,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,sK1),xm)
| spl10_23 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f491,definition,
( spl10_24
<=> xm = sdtasdt0(xl,sK1) ),
introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).
fof(f493,plain,
( xm = sdtasdt0(xl,sK1)
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f494,plain,
( ~ spl10_23
| spl10_24
| ~ spl10_1 ),
inference(avatar_split_clause,[],[f485,f246,f491,f487]) ).
fof(f574,plain,
~ sP6(sdtsldt0(sdtpldt0(xm,xn),xl)),
inference(superposition,[],[f170,f115]) ).
fof(f575,plain,
~ sP6(sdtsldt0(sdtasdt0(xl,sK1),xl)),
inference(forward_demodulation,[],[f574,f106]) ).
fof(f685,plain,
! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| sz00 = xl
| sdtsldt0(xm,xl) = X0
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) ),
inference(superposition,[],[f141,f187]) ).
fof(f698,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| sdtsldt0(xm,xl) = X0
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) )
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f685,f255]) ).
fof(f709,plain,
( ! [X0] :
( sdtlseqdt0(sdtasdt0(xl,X0),xm)
| sdtsldt0(xm,xl) = X0
| ~ sdtlseqdt0(X0,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl)) )
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f698,f104]) ).
fof(f720,plain,
( ! [X0] :
( ~ sdtlseqdt0(X0,sdtsldt0(xm,xl))
| sdtsldt0(xm,xl) = X0
| sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0) )
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f709,f188]) ).
fof(f771,plain,
! [X0] :
( sdtasdt0(xl,X0) != sdtasdt0(xl,sK1)
| sdtsldt0(sdtasdt0(xl,sK1),xl) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xl,sK1),xl))
| sz00 = xl
| ~ aNaturalNumber0(xl) ),
inference(superposition,[],[f147,f189]) ).
fof(f775,plain,
! [X0] :
( sdtasdt0(xl,X0) != sdtasdt0(xl,sK1)
| sdtsldt0(sdtasdt0(xl,sK1),xl) = X0
| ~ aNaturalNumber0(X0)
| sz00 = xl
| ~ aNaturalNumber0(xl) ),
inference(forward_subsumption_resolution,[],[f771,f190]) ).
fof(f794,plain,
( ! [X0] :
( sdtasdt0(xl,X0) != sdtasdt0(xl,sK1)
| sdtsldt0(sdtasdt0(xl,sK1),xl) = X0
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl) )
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f775,f255]) ).
fof(f813,plain,
( ! [X0] :
( sdtasdt0(xl,X0) != sdtasdt0(xl,sK1)
| sdtsldt0(sdtasdt0(xl,sK1),xl) = X0
| ~ aNaturalNumber0(X0) )
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f794,f104]) ).
fof(f949,plain,
( sK1 = sdtsldt0(sdtasdt0(xl,sK1),xl)
| ~ aNaturalNumber0(sK1)
| spl10_3 ),
inference(equality_resolution,[],[f813]) ).
fof(f952,plain,
( sK1 = sdtsldt0(sdtasdt0(xl,sK1),xl)
| spl10_3 ),
inference(forward_subsumption_resolution,[],[f949,f107]) ).
fof(f1026,plain,
( ~ sdtlseqdt0(sdtsldt0(xm,xl),sK1)
| spl10_3 ),
inference(forward_demodulation,[],[f474,f952]) ).
fof(f1182,plain,
( ~ sdtlseqdt0(sdtsldt0(xm,xl),sdtsldt0(xm,xl))
| spl10_3
| ~ spl10_7 ),
inference(forward_demodulation,[],[f1026,f295]) ).
fof(f1236,plain,
( ~ aNaturalNumber0(sdtsldt0(xm,xl))
| spl10_3
| ~ spl10_7 ),
inference(resolution,[],[f1182,f164]) ).
fof(f1242,plain,
( $false
| spl10_3
| ~ spl10_7 ),
inference(forward_subsumption_resolution,[],[f1236,f188]) ).
fof(f1243,plain,
( spl10_3
| ~ spl10_7 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1274,plain,
( sdtsldt0(xm,xl) = sK1
| sdtlseqdt0(sdtasdt0(xl,sK1),xm)
| ~ aNaturalNumber0(sK1)
| spl10_3
| ~ spl10_4 ),
inference(resolution,[],[f720,f260]) ).
fof(f1284,plain,
( sdtlseqdt0(sdtasdt0(xl,sK1),xm)
| ~ aNaturalNumber0(sK1)
| spl10_3
| ~ spl10_4
| spl10_7 ),
inference(forward_subsumption_resolution,[],[f1274,f294]) ).
fof(f1285,plain,
( ~ aNaturalNumber0(sK1)
| spl10_3
| ~ spl10_4
| spl10_7
| spl10_23 ),
inference(forward_subsumption_resolution,[],[f1284,f489]) ).
fof(f1286,plain,
( $false
| spl10_3
| ~ spl10_4
| spl10_7
| spl10_23 ),
inference(forward_subsumption_resolution,[],[f1285,f107]) ).
fof(f1287,plain,
( spl10_3
| ~ spl10_4
| spl10_7
| spl10_23 ),
inference(avatar_contradiction_clause,[],[f1286]) ).
fof(f1309,plain,
( ~ sP6(sdtsldt0(xm,xl))
| ~ spl10_24 ),
inference(superposition,[],[f575,f493]) ).
fof(f1358,plain,
( $false
| ~ spl10_24 ),
inference(forward_subsumption_resolution,[],[f1309,f219]) ).
fof(f1359,plain,
~ spl10_24,
inference(avatar_contradiction_clause,[],[f1358]) ).
cnf(s1,plain,
( ~ spl10_1
| ~ spl10_2
| spl10_3
| spl10_4 ),
inference(sat_conversion,[],[f261]) ).
cnf(s3,plain,
spl10_1,
inference(sat_conversion,[],[f274]) ).
cnf(s4,plain,
( ~ spl10_1
| spl10_2 ),
inference(sat_conversion,[],[f279]) ).
cnf(s21,plain,
~ spl10_3,
inference(sat_conversion,[],[f457]) ).
cnf(s22,plain,
( ~ spl10_1
| ~ spl10_23
| spl10_24 ),
inference(sat_conversion,[],[f494]) ).
cnf(s62,plain,
( spl10_3
| ~ spl10_7 ),
inference(sat_conversion,[],[f1243]) ).
cnf(s67,plain,
( spl10_3
| ~ spl10_4
| spl10_7
| spl10_23 ),
inference(sat_conversion,[],[f1287]) ).
cnf(s68,plain,
~ spl10_24,
inference(sat_conversion,[],[f1359]) ).
cnf(s78,plain,
( ~ spl10_1
| ~ spl10_23 ),
inference(rat,[],[s22,s68]) ).
cnf(s80,plain,
~ spl10_7,
inference(rat,[],[s62,s21]) ).
cnf(s88,plain,
~ spl10_23,
inference(rat,[],[s78,s3]) ).
cnf(s89,plain,
spl10_2,
inference(rat,[],[s4,s3]) ).
cnf(s90,plain,
~ spl10_4,
inference(rat,[],[s67,s80,s21,s88]) ).
cnf(s91,plain,
$false,
inference(rat,[],[s1,s90,s21,s89,s3]) ).
fof(f1418,plain,
$false,
inference(avatar_sat_refutation,[],[s91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM473+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 20:05:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.70/1.27 % (1272511)Detected formulas, will run a generic FOF schedule.
% 2.70/1.27 % (1272520)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=832663502:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.70/1.27 % (1272521)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1723689447:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.70/1.27 % (1272519)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=975135272:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.70/1.27 % (1272517)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=1681641926:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.70/1.27 % (1272516)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=725484688:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.70/1.27 % (1272522)dis-21_1_sil=8000:lcm=predicate:random_seed=489708609: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)
% 2.70/1.27 % (1272518)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=2934199389:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.70/1.27 % (1272520)Instruction limit reached!
% 2.70/1.27 % (1272520)------------------------------
% 2.70/1.27 % (1272520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.27 % (1272520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.27 % (1272520)CaDiCaL version: 2.1.3
% 2.70/1.27 % (1272520)Termination reason: Instruction limit
% 2.70/1.27 % (1272520)Termination phase: Saturation
% 2.70/1.27 % (1272520)Time elapsed: 0.039 s
% 2.70/1.27 % (1272520)Peak memory usage: 89 MB
% 2.70/1.27 % (1272520)Instructions burned: 122 (million)
% 2.70/1.27 % (1272519)First to succeed.
% 2.70/1.27 % (1272519)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1272511"
% 2.70/1.27 % (1272522)Instruction limit reached!
% 2.70/1.27 % (1272522)------------------------------
% 2.70/1.27 % (1272522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.27 % (1272522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.27 % (1272522)CaDiCaL version: 2.1.3
% 2.70/1.27 % (1272522)Termination reason: Instruction limit
% 2.70/1.27 % (1272522)Termination phase: Saturation
% 2.70/1.27 % (1272522)Time elapsed: 0.078 s
% 2.70/1.27 % (1272522)Peak memory usage: 90 MB
% 2.70/1.27 % (1272522)Instructions burned: 130 (million)
% 2.70/1.27 % (1272530)lrs+10_1_sil=8000:sp=occurrence:random_seed=1563791013:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.70/1.27 % (1272521)Instruction limit reached!
% 2.70/1.27 % (1272521)------------------------------
% 2.70/1.27 % (1272521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.27 % (1272521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.27 % (1272521)CaDiCaL version: 2.1.3
% 2.70/1.27 % (1272521)Termination reason: Instruction limit
% 2.70/1.27 % (1272521)Termination phase: Saturation
% 2.70/1.27 % (1272521)Time elapsed: 0.103 s
% 2.70/1.27 % (1272521)Peak memory usage: 90 MB
% 2.70/1.27 % (1272521)Instructions burned: 140 (million)
% 2.70/1.27 % (1272530)Also succeeded, but the first one will report.
% 2.70/1.27 % (1272531)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1413919450:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.70/1.27 % (1272533)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2501836914:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.70/1.27 % (1272531)Instruction limit reached!
% 2.70/1.27 % (1272531)------------------------------
% 2.70/1.27 % (1272531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.70/1.27 % (1272531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.70/1.27 % (1272531)CaDiCaL version: 2.1.3
% 2.70/1.27 % (1272531)Termination reason: Instruction limit
% 2.70/1.27 % (1272531)Termination phase: Saturation
% 2.70/1.27 % (1272531)Time elapsed: 0.071 s
% 2.70/1.27 % (1272531)Peak memory usage: 89 MB
% 2.70/1.27 % (1272531)Instructions burned: 157 (million)
% 2.70/1.27 % (1272519)Refutation found. Thanks to Tanya!
% 2.70/1.27 % SZS status Theorem for theBenchmark
% 2.70/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.47 % (1272519)------------------------------
% 3.62/1.47 % (1272519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.47 % (1272519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.47 % (1272519)CaDiCaL version: 2.1.3
% 3.62/1.47 % (1272519)Termination reason: Refutation
% 3.62/1.47 % (1272519)Time elapsed: 0.028 s
% 3.62/1.47 % (1272519)Peak memory usage: 90 MB
% 3.62/1.47 % (1272519)Instructions burned: 44 (million)
% 3.62/1.47 % (1272519)------------------------------
% 3.62/1.47 % (1272519)------------------------------
% 3.62/1.47 % (1272511)Success in time 0.432 s
% 3.62/1.47 % Vampire exiting
%------------------------------------------------------------------------------