%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM471+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 12:24:26 PM UTC 2026
% Result : Theorem 2.68s 0.98s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 141 ( 34 unt; 4 def)
% Number of atoms : 459 ( 139 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 540 ( 222 ~; 231 |; 58 &)
% ( 13 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 140 ( 0 sgn 128 !; 12 ?)
% 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(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(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(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,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xq )
| sdtlseqdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xp,X0) = xq )
| sdtlseqdt0(xp,xq) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f41,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(f43,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f44,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f45]) ).
fof(f51,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f62,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(f63,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,[],[f62]) ).
fof(f68,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f69,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f68]) ).
fof(f73,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f74,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f78,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f77]) ).
fof(f81,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(f82,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,[],[f81]) ).
fof(f91,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f92,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f91]) ).
fof(f93,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(f94,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,[],[f93]) ).
fof(f99,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| xq != sdtpldt0(xp,X0) )
& ~ sdtlseqdt0(xp,xq) ),
inference(ennf_transformation,[],[f40]) ).
fof(f100,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f103,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f104,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f108,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f51]) ).
fof(f120,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f131,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f74]) ).
fof(f133,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| doDivides0(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtsldt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f94]) ).
fof(f154,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f155,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f156,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f159,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f160,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f41]) ).
fof(f163,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f164,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f165,plain,
xm = sdtasdt0(xl,xp),
inference(cnf_transformation,[],[f37]) ).
fof(f166,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f37]) ).
fof(f167,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f168,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(cnf_transformation,[],[f38]) ).
fof(f169,plain,
aNaturalNumber0(xq),
inference(cnf_transformation,[],[f38]) ).
fof(f170,plain,
! [X0] :
( xq != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f171,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f99]) ).
fof(f172,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f126]) ).
fof(f177,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f148]) ).
fof(f178,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f151]) ).
fof(f181,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f172]) ).
fof(f188,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f131]) ).
fof(f191,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f133]) ).
fof(f197,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2) ),
inference(consistent_polarity_flipping,[],[f141]) ).
fof(f203,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ doDivides0(X0,sdtasdt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f177]) ).
fof(f206,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X0)
| doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(consistent_polarity_flipping,[],[f178]) ).
fof(f213,plain,
sdtlseqdt0(xp,xq),
inference(consistent_polarity_flipping,[],[f171]) ).
fof(f216,plain,
xq = sdtsldt0(sdtasdt0(xl,sK2),xl),
inference(forward_demodulation,[],[f167,f159]) ).
fof(f217,plain,
sdtasdt0(xl,xq) = sdtasdt0(xl,sK2),
inference(superposition,[],[f168,f159]) ).
fof(f234,plain,
xp = sdtpldt0(xp,sz00),
inference(resolution,[],[f108,f166]) ).
fof(f281,plain,
( aNaturalNumber0(sdtasdt0(xl,sK2))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f103,f159]) ).
fof(f283,plain,
( aNaturalNumber0(sdtasdt0(xl,sK2))
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f281,f155]) ).
fof(f285,plain,
aNaturalNumber0(sdtasdt0(xl,sK2)),
inference(forward_subsumption_resolution,[],[f283,f154]) ).
fof(f301,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq) ),
inference(resolution,[],[f191,f213]) ).
fof(f302,plain,
( ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[],[f301,f166]) ).
fof(f303,plain,
~ sdtlseqdt0(xq,xp),
inference(forward_subsumption_resolution,[],[f302,f169]) ).
fof(f413,plain,
! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f181,f103]) ).
fof(f415,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xl,sK2))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f413,f159]) ).
fof(f418,plain,
( ~ sdtlseqdt0(xm,sdtasdt0(xl,sK2))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f415,f154]) ).
fof(f421,plain,
~ sdtlseqdt0(xm,sdtasdt0(xl,sK2)),
inference(forward_subsumption_resolution,[],[f418,f155]) ).
fof(f431,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xm)
| sdtlseqdt0(xm,X0)
| xm = X0 ),
inference(resolution,[],[f188,f155]) ).
fof(f439,plain,
! [X2,X0] :
( ~ doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f203,f104]) ).
fof(f835,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| sz00 = xl
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| xp = X0 ),
inference(superposition,[],[f120,f165]) ).
fof(f839,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f835,f163]) ).
fof(f843,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f839,f166]) ).
fof(f847,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f843,f156]) ).
fof(f993,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xl
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f197,f165]) ).
fof(f996,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| xp = X0
| sz00 = xl
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f993,f156]) ).
fof(f1004,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| xp = X0
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f996,f163]) ).
fof(f1012,plain,
! [X0] :
( ~ sdtlseqdt0(sdtasdt0(xl,X0),xm)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f1004,f166]) ).
fof(f1120,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| doDivides0(X0,sdtasdt0(X0,X2))
| sz00 = X0
| ~ aNaturalNumber0(X2)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f206,f104]) ).
fof(f1121,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0)
| sdtsldt0(sdtasdt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f1120,f439]) ).
fof(f1160,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| sK2 = sdtsldt0(sdtasdt0(X0,sK2),X0) ),
inference(resolution,[],[f1121,f160]) ).
fof(f1630,plain,
( xp != xq
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[],[f170,f234]) ).
fof(f1650,plain,
xp != xq,
inference(forward_subsumption_resolution,[],[f1630,f100]) ).
fof(f3962,plain,
( xm != sdtasdt0(xl,xq)
| ~ aNaturalNumber0(sK2)
| xp = sK2 ),
inference(superposition,[],[f847,f217]) ).
fof(f3967,plain,
( xm != sdtasdt0(xl,xq)
| xp = sK2 ),
inference(forward_subsumption_resolution,[],[f3962,f160]) ).
fof(f3976,definition,
( spl4_137
<=> xp = sK2 ),
introduced(definition,[new_symbols(definition,[spl4_137])],[avatar_definition]) ).
fof(f3978,plain,
( xp = sK2
| ~ spl4_137 ),
inference(avatar_component_clause,[],[f3976]) ).
fof(f3980,definition,
( spl4_138
<=> xm = sdtasdt0(xl,xq) ),
introduced(definition,[new_symbols(definition,[spl4_138])],[avatar_definition]) ).
fof(f3983,plain,
( spl4_137
| ~ spl4_138 ),
inference(avatar_split_clause,[],[f3967,f3980,f3976]) ).
fof(f4742,plain,
( sdtlseqdt0(sdtasdt0(xl,sK2),xm)
| sdtlseqdt0(xm,sdtasdt0(xl,sK2))
| xm = sdtasdt0(xl,sK2) ),
inference(resolution,[],[f431,f285]) ).
fof(f4836,plain,
( sdtlseqdt0(sdtasdt0(xl,sK2),xm)
| xm = sdtasdt0(xl,sK2) ),
inference(forward_subsumption_resolution,[],[f4742,f421]) ).
fof(f4856,definition,
( spl4_190
<=> sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
introduced(definition,[new_symbols(definition,[spl4_190])],[avatar_definition]) ).
fof(f4860,plain,
( sdtlseqdt0(sdtasdt0(xl,xq),xm)
| xm = sdtasdt0(xl,sK2) ),
inference(forward_demodulation,[],[f4836,f217]) ).
fof(f4869,plain,
( xm = sdtasdt0(xl,xq)
| sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(forward_demodulation,[],[f4860,f217]) ).
fof(f4873,plain,
( spl4_190
| spl4_138 ),
inference(avatar_split_clause,[],[f4869,f3980,f4856]) ).
fof(f4957,definition,
( spl4_196
<=> xq = sK2 ),
introduced(definition,[new_symbols(definition,[spl4_196])],[avatar_definition]) ).
fof(f4959,plain,
( xq = sK2
| ~ spl4_196 ),
inference(avatar_component_clause,[],[f4957]) ).
fof(f6501,plain,
( sz00 = xl
| sK2 = sdtsldt0(sdtasdt0(xl,sK2),xl) ),
inference(resolution,[],[f1160,f156]) ).
fof(f6524,plain,
sK2 = sdtsldt0(sdtasdt0(xl,sK2),xl),
inference(forward_subsumption_resolution,[],[f6501,f163]) ).
fof(f6532,plain,
xq = sK2,
inference(forward_demodulation,[],[f6524,f216]) ).
fof(f6538,plain,
spl4_196,
inference(avatar_split_clause,[],[f6532,f4957]) ).
fof(f6783,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| ~ aNaturalNumber0(sK2)
| sdtlseqdt0(sK2,xp)
| xp = sK2 ),
inference(superposition,[],[f1012,f217]) ).
fof(f6786,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| sdtlseqdt0(sK2,xp)
| xp = sK2 ),
inference(forward_subsumption_resolution,[],[f6783,f160]) ).
fof(f19649,plain,
( sdtlseqdt0(xq,xp)
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| xp = sK2
| ~ spl4_196 ),
inference(forward_demodulation,[],[f6786,f4959]) ).
fof(f19681,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| xp = sK2
| ~ spl4_196 ),
inference(forward_subsumption_resolution,[],[f19649,f303]) ).
fof(f19687,plain,
( xp = xq
| ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| ~ spl4_196 ),
inference(forward_demodulation,[],[f19681,f4959]) ).
fof(f19689,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| ~ spl4_196 ),
inference(forward_subsumption_resolution,[],[f19687,f1650]) ).
fof(f19690,plain,
( ~ spl4_190
| ~ spl4_196 ),
inference(avatar_split_clause,[],[f19689,f4957,f4856]) ).
fof(f21484,plain,
( xq = sdtsldt0(sdtasdt0(xl,xp),xl)
| ~ spl4_137 ),
inference(superposition,[],[f216,f3978]) ).
fof(f21513,plain,
( sdtsldt0(xm,xl) = xq
| ~ spl4_137 ),
inference(forward_demodulation,[],[f21484,f165]) ).
fof(f21519,plain,
( xp = xq
| ~ spl4_137 ),
inference(forward_demodulation,[],[f21513,f164]) ).
fof(f21520,plain,
( $false
| ~ spl4_137 ),
inference(forward_subsumption_resolution,[],[f21519,f1650]) ).
fof(f21521,plain,
~ spl4_137,
inference(avatar_contradiction_clause,[],[f21520]) ).
cnf(s183,plain,
( spl4_137
| ~ spl4_138 ),
inference(sat_conversion,[],[f3983]) ).
cnf(s264,plain,
( spl4_138
| spl4_190 ),
inference(sat_conversion,[],[f4873]) ).
cnf(s403,plain,
spl4_196,
inference(sat_conversion,[],[f6538]) ).
cnf(s1434,plain,
( ~ spl4_190
| ~ spl4_196 ),
inference(sat_conversion,[],[f19690]) ).
cnf(s1648,plain,
~ spl4_137,
inference(sat_conversion,[],[f21521]) ).
cnf(s1753,plain,
~ spl4_190,
inference(rat,[],[s1434,s403]) ).
cnf(s1767,plain,
spl4_138,
inference(rat,[],[s264,s1753]) ).
cnf(s1775,plain,
$false,
inference(rat,[],[s183,s1767,s1648]) ).
fof(f21522,plain,
$false,
inference(avatar_sat_refutation,[],[s1775]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM471+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n009.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:04:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.68/0.98 % (2363260)Will run a generic schedule for satisfiability detection.
% 2.68/0.98 % (2363267)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=312552972:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.68/0.98 % (2363266)% WARNING: option uhcvi not known.
% 2.68/0.98 % (2363269)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4180377817:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.68/0.98 % (2363265)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2908462768_2999 on theBenchmark for (2999ds/0Mi)
% 2.68/0.98 % (2363266)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1224527916:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.68/0.98 % (2363268)dis+10_1_sil=32000:sp=arity:random_seed=3191410835:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.68/0.98 % (2363270)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=43734594:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.68/0.98 % (2363271)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3709227844:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.68/0.98 % TRYING [1]
% 2.68/0.98 % TRYING [2]
% 2.68/0.98 % TRYING [3]
% 2.68/0.98 % TRYING [4]
% 2.68/0.98 % TRYING [5]
% 2.68/0.98 % (2363268)Instruction limit reached!
% 2.68/0.98 % (2363268)------------------------------
% 2.68/0.98 % (2363268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363268)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363268)Termination reason: Instruction limit
% 2.68/0.98 % (2363268)Termination phase: Saturation
% 2.68/0.98 % (2363268)Time elapsed: 0.058 s
% 2.68/0.98 % (2363268)Peak memory usage: 12 MB
% 2.68/0.98 % (2363268)Instructions burned: 103 (million)
% 2.68/0.98 % (2363269)Instruction limit reached!
% 2.68/0.98 % (2363269)------------------------------
% 2.68/0.98 % (2363269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363269)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363269)Termination reason: Instruction limit
% 2.68/0.98 % (2363269)Termination phase: Saturation
% 2.68/0.98 % (2363269)Time elapsed: 0.069 s
% 2.68/0.98 % (2363269)Peak memory usage: 13 MB
% 2.68/0.98 % (2363269)Instructions burned: 123 (million)
% 2.68/0.98 % (2363270)Instruction limit reached!
% 2.68/0.98 % (2363270)------------------------------
% 2.68/0.98 % (2363270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363270)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363270)Termination reason: Instruction limit
% 2.68/0.98 % (2363270)Termination phase: Saturation
% 2.68/0.98 % (2363270)Time elapsed: 0.075 s
% 2.68/0.98 % (2363270)Peak memory usage: 13 MB
% 2.68/0.98 % (2363270)Instructions burned: 131 (million)
% 2.68/0.98 % (2363279)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=234242963:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.68/0.98 % TRYING [1]
% 2.68/0.98 % TRYING [2]
% 2.68/0.98 % TRYING [3]
% 2.68/0.98 % (2363280)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3773487686:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.68/0.98 % TRYING [4]
% 2.68/0.98 % (2363281)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=2445008266:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.68/0.98 % (2363271)Instruction limit reached!
% 2.68/0.98 % (2363271)------------------------------
% 2.68/0.98 % (2363271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363271)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363271)Termination reason: Instruction limit
% 2.68/0.98 % (2363271)Termination phase: Saturation
% 2.68/0.98 % (2363271)Time elapsed: 0.095 s
% 2.68/0.98 % (2363271)Peak memory usage: 15 MB
% 2.68/0.98 % (2363271)Instructions burned: 160 (million)
% 2.68/0.98 % TRYING [6]
% 2.68/0.98 % (2363285)ott-21_1_sil=16000:fs=off:random_seed=1704210464:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.68/0.98 % TRYING [5]
% 2.68/0.98 % (2363280)Instruction limit reached!
% 2.68/0.98 % (2363280)------------------------------
% 2.68/0.98 % (2363280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363280)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363280)Termination reason: Instruction limit
% 2.68/0.98 % (2363280)Termination phase: Saturation
% 2.68/0.98 % (2363280)Time elapsed: 0.066 s
% 2.68/0.98 % (2363280)Peak memory usage: 12 MB
% 2.68/0.98 % (2363280)Instructions burned: 133 (million)
% 2.68/0.98 % (2363287)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1653849061:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.68/0.98 % TRYING [6]
% 2.68/0.98 % (2363285)Instruction limit reached!
% 2.68/0.98 % (2363285)------------------------------
% 2.68/0.98 % (2363285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363285)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363285)Termination reason: Instruction limit
% 2.68/0.98 % (2363285)Termination phase: Saturation
% 2.68/0.98 % (2363285)Time elapsed: 0.092 s
% 2.68/0.98 % (2363285)Peak memory usage: 13 MB
% 2.68/0.98 % (2363285)Instructions burned: 180 (million)
% 2.68/0.98 % (2363289)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=704188396:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.68/0.98 % TRYING [1]
% 2.68/0.98 % TRYING [2]
% 2.68/0.98 % TRYING [3]
% 2.68/0.98 % TRYING [4]
% 2.68/0.98 % TRYING [7]
% 2.68/0.98 % TRYING [5]
% 2.68/0.98 % (2363279)Instruction limit reached!
% 2.68/0.98 % (2363279)------------------------------
% 2.68/0.98 % (2363279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363279)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363279)Termination reason: Instruction limit
% 2.68/0.98 % (2363279)Termination phase: Finite model building SAT solving
% 2.68/0.98 % (2363279)Time elapsed: 0.277 s
% 2.68/0.98 % (2363279)Peak memory usage: 34 MB
% 2.68/0.98 % (2363279)Instructions burned: 715 (million)
% 2.68/0.98 % (2363281)Instruction limit reached!
% 2.68/0.98 % (2363281)------------------------------
% 2.68/0.98 % (2363281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363281)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363281)Termination reason: Instruction limit
% 2.68/0.98 % (2363281)Termination phase: Saturation
% 2.68/0.98 % (2363281)Time elapsed: 0.263 s
% 2.68/0.98 % (2363281)Peak memory usage: 14 MB
% 2.68/0.98 % (2363281)Instructions burned: 684 (million)
% 2.68/0.98 % (2363292)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1549184258:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 2.68/0.98 % (2363291)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2342747478:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.68/0.98 % (2363287)Instruction limit reached!
% 2.68/0.98 % (2363287)------------------------------
% 2.68/0.98 % (2363287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363287)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363287)Termination reason: Instruction limit
% 2.68/0.98 % (2363287)Termination phase: Saturation
% 2.68/0.98 % (2363287)Time elapsed: 0.260 s
% 2.68/0.98 % (2363287)Peak memory usage: 15 MB
% 2.68/0.98 % (2363287)Instructions burned: 478 (million)
% 2.68/0.98 % (2363295)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=3104518591:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.68/0.98 % (2363266) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2363260-2363266"...
% 2.68/0.98 % (2363266)...printing done.
% 2.68/0.98 % (2363266)Refutation found. Thanks to Tanya!
% 2.68/0.98 % SZS status Theorem for theBenchmark
% 2.68/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/0.98 % (2363266)------------------------------
% 2.68/0.98 % (2363266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.68/0.98 % (2363266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.68/0.98 % (2363266)CaDiCaL version: 2.1.3
% 2.68/0.98 % (2363266)Termination reason: Refutation
% 2.68/0.98 % (2363266)Time elapsed: 0.506 s
% 2.68/0.98 % (2363266)Peak memory usage: 21 MB
% 2.68/0.98 % (2363266)Instructions burned: 924 (million)
% 2.68/0.98 % (2363260)Success in time 0.553 s
% 2.68/0.98 % Vampire exiting
%------------------------------------------------------------------------------