%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM471+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 8.59s 2.13s
% Output : Refutation 9.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 18
% Syntax : Number of formulae : 130 ( 25 unt; 4 def)
% Number of atoms : 477 ( 111 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 612 ( 265 ~; 277 |; 46 &)
% ( 10 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 122 ( 0 sgn 117 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mMonMul) ).
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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f34,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,xm)
& doDivides0(xl,sdtpldt0(xm,xn)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(f39,conjecture,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f43,plain,
~ sdtlseqdt0(xp,xq),
inference(flattening,[],[f40]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f47]) ).
fof(f64,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(f65,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,[],[f64]) ).
fof(f70,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f71,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f70]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f75]) ).
fof(f79,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f80,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f79]) ).
fof(f83,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(f84,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,[],[f83]) ).
fof(f91,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(f92,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,[],[f91]) ).
fof(f97,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f71]) ).
fof(f98,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtpldt0(X0,X3) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK0(X0,X1))
& sdtpldt0(X0,sK0(X0,X1)) = X1 )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f98]) ).
fof(f105,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,[],[f92]) ).
fof(f106,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,[],[f105]) ).
fof(f110,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f111,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f127,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f133,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f138,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f140,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f148,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,[],[f84]) ).
fof(f156,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f157,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f161,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f162,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f163,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f164,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f165,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f166,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f167,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f168,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f169,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f43]) ).
fof(f170,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f133]) ).
fof(f178,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f157]) ).
fof(f179,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| sz00 = X0
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f156]) ).
fof(f183,plain,
( aNaturalNumber0(xp)
| sz00 = xl
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f178,f167]) ).
fof(f184,plain,
( aNaturalNumber0(xq)
| sz00 = xl
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[],[f178,f168]) ).
fof(f185,plain,
( aNaturalNumber0(xq)
| ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f184,f166]) ).
fof(f186,plain,
( aNaturalNumber0(xp)
| ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f183,f166]) ).
fof(f187,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f185,f164]) ).
fof(f188,plain,
( aNaturalNumber0(xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f186,f165]) ).
fof(f189,plain,
( aNaturalNumber0(xq)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f187,f163]) ).
fof(f190,plain,
( aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f188,f163]) ).
fof(f192,definition,
( spl2_1
<=> aNaturalNumber0(sdtpldt0(xm,xn)) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f193,plain,
( aNaturalNumber0(sdtpldt0(xm,xn))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f194,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| spl2_1 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f196,definition,
( spl2_2
<=> aNaturalNumber0(xq) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f198,plain,
( aNaturalNumber0(xq)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f199,plain,
( ~ spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f189,f196,f192]) ).
fof(f200,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[],[f190,f162]) ).
fof(f201,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| spl2_1 ),
inference(resolution,[],[f110,f194]) ).
fof(f202,plain,
( ~ aNaturalNumber0(xn)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f201,f162]) ).
fof(f203,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f202,f161]) ).
fof(f204,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f203]) ).
fof(f232,plain,
( sz00 = xl
| sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(resolution,[],[f179,f164]) ).
fof(f233,plain,
( sz00 = xl
| xm = sdtasdt0(xl,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(resolution,[],[f179,f165]) ).
fof(f234,plain,
( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f233,f166]) ).
fof(f235,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl))
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f232,f166]) ).
fof(f236,plain,
( xm = sdtasdt0(xl,sdtsldt0(xm,xl))
| ~ aNaturalNumber0(xm) ),
inference(forward_subsumption_resolution,[],[f234,f163]) ).
fof(f237,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl))
| ~ aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[],[f235,f163]) ).
fof(f238,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(forward_subsumption_resolution,[],[f236,f162]) ).
fof(f239,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl))
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f237,f193]) ).
fof(f240,plain,
xm = sdtasdt0(xl,xp),
inference(forward_demodulation,[],[f238,f167]) ).
fof(f241,plain,
( sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| ~ spl2_1 ),
inference(forward_demodulation,[],[f239,f168]) ).
fof(f254,plain,
( aNaturalNumber0(sdtasdt0(xl,xq))
| ~ spl2_1 ),
inference(superposition,[],[f193,f241]) ).
fof(f262,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ spl2_1 ),
inference(superposition,[],[f170,f241]) ).
fof(f263,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f262,f161]) ).
fof(f269,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f263,f162]) ).
fof(f274,plain,
( sdtlseqdt0(xm,sdtasdt0(xl,xq))
| ~ spl2_1 ),
inference(forward_subsumption_resolution,[],[f269,f254]) ).
fof(f552,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(resolution,[],[f138,f148]) ).
fof(f566,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f552,f127]) ).
fof(f575,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aNaturalNumber0(sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f566,f111]) ).
fof(f598,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| sz00 = X0
| X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) ),
inference(forward_subsumption_resolution,[],[f575,f111]) ).
fof(f902,definition,
( spl2_23
<=> sdtlseqdt0(xq,xp) ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
fof(f903,plain,
( sdtlseqdt0(xq,xp)
| ~ spl2_23 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f904,plain,
( ~ sdtlseqdt0(xq,xp)
| spl2_23 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f906,definition,
( spl2_24
<=> xp = xq ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
fof(f907,plain,
( xp != xq
| spl2_24 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f908,plain,
( xp = xq
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f910,plain,
( sdtlseqdt0(xp,xq)
| ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| spl2_23 ),
inference(resolution,[],[f904,f140]) ).
fof(f913,plain,
( ~ aNaturalNumber0(xq)
| ~ aNaturalNumber0(xp)
| spl2_23 ),
inference(forward_subsumption_resolution,[],[f910,f169]) ).
fof(f915,plain,
( ~ aNaturalNumber0(xp)
| ~ spl2_2
| spl2_23 ),
inference(forward_subsumption_resolution,[],[f913,f198]) ).
fof(f918,plain,
( $false
| ~ spl2_2
| spl2_23 ),
inference(forward_subsumption_resolution,[],[f915,f200]) ).
fof(f919,plain,
( ~ spl2_2
| spl2_23 ),
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f1300,plain,
! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| sz00 = xl
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(superposition,[],[f598,f240]) ).
fof(f1336,plain,
! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1300,f166]) ).
fof(f1354,plain,
! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1336,f163]) ).
fof(f1372,plain,
! [X0] :
( ~ sdtlseqdt0(xm,sdtasdt0(xl,X0))
| xp = X0
| ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f1354,f200]) ).
fof(f1783,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl2_24 ),
inference(superposition,[],[f169,f908]) ).
fof(f1798,plain,
( sdtlseqdt0(xp,xp)
| ~ spl2_23
| ~ spl2_24 ),
inference(superposition,[],[f903,f908]) ).
fof(f1813,plain,
( $false
| ~ spl2_23
| ~ spl2_24 ),
inference(forward_subsumption_resolution,[],[f1783,f1798]) ).
fof(f1814,plain,
( ~ spl2_23
| ~ spl2_24 ),
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f2097,plain,
( xp = xq
| ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ spl2_1 ),
inference(resolution,[],[f1372,f274]) ).
fof(f2102,plain,
( ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| ~ spl2_1
| spl2_24 ),
inference(forward_subsumption_resolution,[],[f2097,f907]) ).
fof(f2103,plain,
( ~ aNaturalNumber0(xq)
| ~ spl2_1
| ~ spl2_23
| spl2_24 ),
inference(forward_subsumption_resolution,[],[f2102,f903]) ).
fof(f2104,plain,
( $false
| ~ spl2_1
| ~ spl2_2
| ~ spl2_23
| spl2_24 ),
inference(forward_subsumption_resolution,[],[f2103,f198]) ).
fof(f2105,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_23
| spl2_24 ),
inference(avatar_contradiction_clause,[],[f2104]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f199]) ).
cnf(s2,plain,
spl2_1,
inference(sat_conversion,[],[f204]) ).
cnf(s20,plain,
( ~ spl2_2
| spl2_23 ),
inference(sat_conversion,[],[f919]) ).
cnf(s49,plain,
( ~ spl2_23
| ~ spl2_24 ),
inference(sat_conversion,[],[f1814]) ).
cnf(s65,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_23
| spl2_24 ),
inference(sat_conversion,[],[f2105]) ).
cnf(s68,plain,
spl2_2,
inference(rat,[],[s1,s2]) ).
cnf(s70,plain,
spl2_23,
inference(rat,[],[s20,s68]) ).
cnf(s73,plain,
~ spl2_24,
inference(rat,[],[s49,s70]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s65,s68,s2,s73,s70]) ).
fof(f2106,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM471+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.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 20:04:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.59/2.13 % (3843367)Detected formulas, will run a generic FOF schedule.
% 8.59/2.13 % (3843376)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=603067373:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.59/2.13 % (3843376)Instruction limit reached!
% 8.59/2.13 % (3843376)------------------------------
% 8.59/2.13 % (3843376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843376)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843376)Termination reason: Instruction limit
% 8.59/2.13 % (3843376)Termination phase: Saturation
% 8.59/2.13 % (3843376)Time elapsed: 0.038 s
% 8.59/2.13 % (3843376)Peak memory usage: 89 MB
% 8.59/2.13 % (3843376)Instructions burned: 123 (million)
% 8.59/2.13 % (3843372)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=3514782828:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.59/2.13 % (3843375)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2622213715:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.59/2.13 % (3843373)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=963763165:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.59/2.13 % (3843374)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=4176662931:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.59/2.13 % (3843377)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3712993342:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.59/2.13 % (3843378)dis-21_1_sil=8000:lcm=predicate:random_seed=538060715: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)
% 8.59/2.13 % (3843375)Instruction limit reached!
% 8.59/2.13 % (3843375)------------------------------
% 8.59/2.13 % (3843375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843375)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843375)Termination reason: Instruction limit
% 8.59/2.13 % (3843375)Termination phase: Saturation
% 8.59/2.13 % (3843375)Time elapsed: 0.048 s
% 8.59/2.13 % (3843375)Peak memory usage: 88 MB
% 8.59/2.13 % (3843375)Instructions burned: 111 (million)
% 8.59/2.13 % (3843378)Instruction limit reached!
% 8.59/2.13 % (3843378)------------------------------
% 8.59/2.13 % (3843378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843378)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843378)Termination reason: Instruction limit
% 8.59/2.13 % (3843378)Termination phase: Saturation
% 8.59/2.13 % (3843378)Time elapsed: 0.078 s
% 8.59/2.13 % (3843378)Peak memory usage: 90 MB
% 8.59/2.13 % (3843378)Instructions burned: 129 (million)
% 8.59/2.13 % (3843377)Instruction limit reached!
% 8.59/2.13 % (3843377)------------------------------
% 8.59/2.13 % (3843377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843377)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843377)Termination reason: Instruction limit
% 8.59/2.13 % (3843377)Termination phase: Saturation
% 8.59/2.13 % (3843377)Time elapsed: 0.089 s
% 8.59/2.13 % (3843377)Peak memory usage: 90 MB
% 8.59/2.13 % (3843377)Instructions burned: 140 (million)
% 8.59/2.13 % (3843380)lrs+10_1_sil=8000:sp=occurrence:random_seed=3987583881:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.59/2.13 % (3843380)Instruction limit reached!
% 8.59/2.13 % (3843380)------------------------------
% 8.59/2.13 % (3843380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843380)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843380)Termination reason: Instruction limit
% 8.59/2.13 % (3843380)Termination phase: Saturation
% 8.59/2.13 % (3843380)Time elapsed: 0.089 s
% 8.59/2.13 % (3843380)Peak memory usage: 92 MB
% 8.59/2.13 % (3843380)Instructions burned: 288 (million)
% 8.59/2.13 % (3843387)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2605279925:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.59/2.13 % (3843387)Refutation not found, incomplete strategy
% 8.59/2.13 % (3843387)------------------------------
% 8.59/2.13 % (3843387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843387)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843387)Termination reason: Refutation not found, incomplete strategy
% 8.59/2.13 % (3843387)Time elapsed: 0.003 s
% 8.59/2.13 % (3843387)Peak memory usage: 88 MB
% 8.59/2.13 % (3843387)Instructions burned: 2 (million)
% 8.59/2.13 % (3843388)lrs+1011_1_sil=32000:sp=occurrence:random_seed=678192076:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.59/2.13 % (3843389)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=485120931:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.59/2.13 % (3843391)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3293514406:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.59/2.13 % (3843389)Instruction limit reached!
% 8.59/2.13 % (3843389)------------------------------
% 8.59/2.13 % (3843389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843389)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843389)Termination reason: Instruction limit
% 8.59/2.13 % (3843389)Termination phase: Saturation
% 8.59/2.13 % (3843389)Time elapsed: 0.115 s
% 8.59/2.13 % (3843389)Peak memory usage: 94 MB
% 8.59/2.13 % (3843389)Instructions burned: 248 (million)
% 8.59/2.13 % (3843391)Instruction limit reached!
% 8.59/2.13 % (3843391)------------------------------
% 8.59/2.13 % (3843391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843391)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843391)Termination reason: Instruction limit
% 8.59/2.13 % (3843391)Termination phase: Saturation
% 8.59/2.13 % (3843391)Time elapsed: 0.089 s
% 8.59/2.13 % (3843391)Peak memory usage: 89 MB
% 8.59/2.13 % (3843391)Instructions burned: 294 (million)
% 8.59/2.13 % (3843388)Instruction limit reached!
% 8.59/2.13 % (3843388)------------------------------
% 8.59/2.13 % (3843388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843388)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843388)Termination reason: Instruction limit
% 8.59/2.13 % (3843388)Termination phase: Saturation
% 8.59/2.13 % (3843388)Time elapsed: 0.194 s
% 8.59/2.13 % (3843388)Peak memory usage: 92 MB
% 8.59/2.13 % (3843388)Instructions burned: 326 (million)
% 8.59/2.13 % (3843387)------------------------------
% 8.59/2.13 % (3843387)------------------------------
% 8.59/2.13 % (3843396)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2220292198:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.59/2.13 % (3843397)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1612665312:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.59/2.13 % (3843397)Instruction limit reached!
% 8.59/2.13 % (3843397)------------------------------
% 8.59/2.13 % (3843397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843397)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843397)Termination reason: Instruction limit
% 8.59/2.13 % (3843397)Termination phase: Saturation
% 8.59/2.13 % (3843397)Time elapsed: 0.037 s
% 8.59/2.13 % (3843397)Peak memory usage: 90 MB
% 8.59/2.13 % (3843397)Instructions burned: 114 (million)
% 8.59/2.13 % (3843398)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1247472245:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.59/2.13 % (3843399)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1329301262:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.59/2.13 % (3843398)Instruction limit reached!
% 8.59/2.13 % (3843398)------------------------------
% 8.59/2.13 % (3843398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843398)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843398)Termination reason: Instruction limit
% 8.59/2.13 % (3843398)Termination phase: Saturation
% 8.59/2.13 % (3843398)Time elapsed: 0.064 s
% 8.59/2.13 % (3843398)Peak memory usage: 89 MB
% 8.59/2.13 % (3843398)Instructions burned: 128 (million)
% 8.59/2.13 % (3843399)Instruction limit reached!
% 8.59/2.13 % (3843399)------------------------------
% 8.59/2.13 % (3843399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843399)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843399)Termination reason: Instruction limit
% 8.59/2.13 % (3843399)Termination phase: Saturation
% 8.59/2.13 % (3843399)Time elapsed: 0.062 s
% 8.59/2.13 % (3843399)Peak memory usage: 89 MB
% 8.59/2.13 % (3843399)Instructions burned: 115 (million)
% 8.59/2.13 % (3843402)lrs+10_1_sil=8000:sp=occurrence:random_seed=1076379301:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.59/2.13 % (3843405)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=796713907:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.59/2.13 % (3843372)First to succeed.
% 8.59/2.13 % (3843372)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3843367"
% 8.59/2.13 % (3843406)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3971160351:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.59/2.13 % (3843405)Also succeeded, but the first one will report.
% 8.59/2.13 % (3843402)Instruction limit reached!
% 8.59/2.13 % (3843402)------------------------------
% 8.59/2.13 % (3843402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.59/2.13 % (3843402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.59/2.13 % (3843402)CaDiCaL version: 2.1.3
% 8.59/2.13 % (3843402)Termination reason: Instruction limit
% 8.59/2.13 % (3843402)Termination phase: Saturation
% 8.59/2.13 % (3843402)Time elapsed: 0.276 s
% 8.59/2.13 % (3843402)Peak memory usage: 97 MB
% 8.59/2.13 % (3843402)Instructions burned: 911 (million)
% 8.59/2.13 % (3843372)Refutation found. Thanks to Tanya!
% 8.59/2.13 % SZS status Theorem for theBenchmark
% 8.59/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.49/2.33 % (3843372)------------------------------
% 9.49/2.33 % (3843372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.49/2.33 % (3843372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.49/2.33 % (3843372)CaDiCaL version: 2.1.3
% 9.49/2.33 % (3843372)Termination reason: Refutation
% 9.49/2.33 % (3843372)Time elapsed: 0.825 s
% 9.49/2.33 % (3843372)Peak memory usage: 130 MB
% 9.49/2.33 % (3843372)Instructions burned: 1236 (million)
% 9.49/2.33 % (3843372)------------------------------
% 9.49/2.33 % (3843372)------------------------------
% 9.49/2.33 % (3843367)Success in time 1.256 s
% 9.49/2.33 % Vampire exiting
%------------------------------------------------------------------------------