%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG071+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:35:56 PM UTC 2026
% Result : Theorem 6.29s 6.57s
% Output : Refutation 6.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 135 ( 40 unt; 7 def)
% Number of atoms : 340 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 360 ( 155 ~; 155 |; 33 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X2) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETrn) ).
fof(f25,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).
fof(f26,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPosMon) ).
fof(f27,axiom,
! [X0] :
( aScalar0(X0)
=> sdtlseqdt0(sz0z00,sdtasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSqPos) ).
fof(f37,axiom,
! [X0] :
( aVector0(X0)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mScSqPos) ).
fof(f42,axiom,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f44,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
fof(f45,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f49,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f50,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1854) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f60,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).
fof(f62,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(negated_conjecture,[status(cth)],[f62]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f75,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f74]) ).
fof(f95,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f96,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f95]) ).
fof(f101,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f102,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f104,plain,
! [X0,X1] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
& sdtlseqdt0(sz0z00,sdtasdt0(X0,X1)) )
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f122,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f125,plain,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& xp = sziznziztdt0(xs) ),
inference(ennf_transformation,[],[f42]) ).
fof(f126,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& xq = sziznziztdt0(xt) ),
inference(ennf_transformation,[],[f43]) ).
fof(f127,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(ennf_transformation,[],[f63]) ).
fof(f135,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f136,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ aScalar0(X1)
| ~ aScalar0(X0)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f96]) ).
fof(f162,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f163,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f164,plain,
! [X0,X1] :
( sdtlseqdt0(sz0z00,sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f165,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasdt0(X0,X0))
| ~ aScalar0(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f178,plain,
! [X0] :
( sdtlseqdt0(sz0z00,sdtasasdt0(X0,X0))
| ~ aVector0(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f187,plain,
aVector0(xp),
inference(cnf_transformation,[],[f125]) ).
fof(f191,plain,
aVector0(xq),
inference(cnf_transformation,[],[f126]) ).
fof(f193,plain,
aScalar0(xA),
inference(cnf_transformation,[],[f44]) ).
fof(f195,plain,
aScalar0(xB),
inference(cnf_transformation,[],[f45]) ).
fof(f196,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f197,plain,
aScalar0(xC),
inference(cnf_transformation,[],[f46]) ).
fof(f198,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f199,plain,
aScalar0(xD),
inference(cnf_transformation,[],[f47]) ).
fof(f202,plain,
xF = sdtasdt0(xA,xA),
inference(cnf_transformation,[],[f49]) ).
fof(f203,plain,
aScalar0(xF),
inference(cnf_transformation,[],[f49]) ).
fof(f204,plain,
xG = sdtasdt0(xB,xB),
inference(cnf_transformation,[],[f50]) ).
fof(f205,plain,
aScalar0(xG),
inference(cnf_transformation,[],[f50]) ).
fof(f208,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f209,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f211,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f212,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f213,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f220,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f60]) ).
fof(f222,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f227,definition,
( spl2_1
<=> sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f228,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f229,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| spl2_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f231,definition,
( spl2_2
<=> sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f233,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| spl2_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f234,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f222,f231,f227]) ).
fof(f329,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(superposition,[],[f165,f202]) ).
fof(f330,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(superposition,[],[f165,f204]) ).
fof(f331,plain,
sdtlseqdt0(sz0z00,xG),
inference(forward_subsumption_resolution,[],[f330,f195]) ).
fof(f332,plain,
sdtlseqdt0(sz0z00,xF),
inference(forward_subsumption_resolution,[],[f329,f193]) ).
fof(f333,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(superposition,[],[f178,f196]) ).
fof(f334,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(superposition,[],[f178,f198]) ).
fof(f335,plain,
sdtlseqdt0(sz0z00,xD),
inference(forward_subsumption_resolution,[],[f334,f191]) ).
fof(f336,plain,
sdtlseqdt0(sz0z00,xC),
inference(forward_subsumption_resolution,[],[f333,f187]) ).
fof(f436,definition,
( spl2_6
<=> aScalar0(sdtpldt0(xR,xS)) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f437,plain,
( aScalar0(sdtpldt0(xR,xS))
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f438,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| spl2_6 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f446,plain,
( ~ aScalar0(xR)
| ~ aScalar0(xS)
| spl2_6 ),
inference(resolution,[],[f438,f136]) ).
fof(f447,plain,
( ~ aScalar0(xS)
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f446,f209]) ).
fof(f448,plain,
( $false
| spl2_6 ),
inference(forward_subsumption_resolution,[],[f447,f213]) ).
fof(f449,plain,
spl2_6,
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f747,plain,
! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ aScalar0(sdtpldt0(xR,xS)) ),
inference(resolution,[],[f159,f220]) ).
fof(f752,plain,
( ! [X0] :
( ~ aScalar0(X0)
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0) )
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f747,f437]) ).
fof(f771,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(superposition,[],[f163,f208]) ).
fof(f773,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(superposition,[],[f163,f212]) ).
fof(f778,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f773,f203]) ).
fof(f780,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f771,f197]) ).
fof(f783,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f778,f335]) ).
fof(f785,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f780,f331]) ).
fof(f787,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xD) ),
inference(forward_subsumption_resolution,[],[f783,f332]) ).
fof(f788,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xG) ),
inference(forward_subsumption_resolution,[],[f785,f336]) ).
fof(f789,plain,
sdtlseqdt0(sz0z00,xS),
inference(forward_subsumption_resolution,[],[f787,f199]) ).
fof(f790,plain,
sdtlseqdt0(sz0z00,xR),
inference(forward_subsumption_resolution,[],[f788,f205]) ).
fof(f797,plain,
( ~ aScalar0(xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| spl2_1 ),
inference(resolution,[],[f164,f229]) ).
fof(f804,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xS)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f797,f209]) ).
fof(f806,plain,
( ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xR)
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f804,f213]) ).
fof(f809,definition,
( spl2_9
<=> sdtlseqdt0(sz0z00,xR) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f811,plain,
( ~ sdtlseqdt0(sz0z00,xR)
| spl2_9 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl2_10
<=> sdtlseqdt0(sz0z00,xS) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f816,plain,
( ~ spl2_9
| ~ spl2_10
| spl2_1 ),
inference(avatar_split_clause,[],[f806,f227,f813,f809]) ).
fof(f1398,definition,
( spl2_11
<=> aScalar0(sdtpldt0(xP,xP)) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f1399,plain,
( aScalar0(sdtpldt0(xP,xP))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1400,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| spl2_11 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1402,definition,
( spl2_12
<=> ! [X0] :
( ~ aScalar0(X0)
| ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS)) ) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f1403,plain,
( ! [X0] :
( ~ sdtlseqdt0(sdtpldt0(xP,xP),X0)
| ~ sdtlseqdt0(X0,sdtpldt0(xR,xS))
| ~ aScalar0(X0) )
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1404,plain,
( ~ spl2_11
| spl2_12
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f752,f436,f1402,f1398]) ).
fof(f1405,plain,
( ~ aScalar0(xP)
| ~ aScalar0(xP)
| spl2_11 ),
inference(resolution,[],[f1400,f136]) ).
fof(f1406,plain,
( ~ aScalar0(xP)
| spl2_11 ),
inference(duplicate_literal_removal,[],[f1405]) ).
fof(f1407,plain,
( $false
| spl2_11 ),
inference(forward_subsumption_resolution,[],[f1406,f211]) ).
fof(f1408,plain,
spl2_11,
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1484,plain,
spl2_10,
inference(avatar_split_clause,[],[f789,f813]) ).
fof(f1485,plain,
( $false
| spl2_9 ),
inference(forward_subsumption_resolution,[],[f790,f811]) ).
fof(f1486,plain,
spl2_9,
inference(avatar_contradiction_clause,[],[f1485]) ).
fof(f1504,plain,
( ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sz0z00)
| sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| spl2_2 ),
inference(resolution,[],[f233,f162]) ).
fof(f1506,plain,
( ~ aScalar0(sz0z00)
| sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| spl2_2
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f1504,f1399]) ).
fof(f1509,plain,
( sdtlseqdt0(sdtpldt0(xP,xP),sz0z00)
| spl2_2
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f1506,f135]) ).
fof(f1519,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sz0z00)
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(resolution,[],[f1509,f1403]) ).
fof(f1522,plain,
( ~ aScalar0(sz0z00)
| ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1519,f228]) ).
fof(f1523,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f1522,f135]) ).
fof(f1524,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s4,plain,
spl2_6,
inference(sat_conversion,[],[f449]) ).
cnf(s21,plain,
( spl2_1
| ~ spl2_9
| ~ spl2_10 ),
inference(sat_conversion,[],[f816]) ).
cnf(s22,plain,
( ~ spl2_6
| ~ spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s23,plain,
spl2_11,
inference(sat_conversion,[],[f1408]) ).
cnf(s24,plain,
spl2_10,
inference(sat_conversion,[],[f1484]) ).
cnf(s25,plain,
spl2_9,
inference(sat_conversion,[],[f1486]) ).
cnf(s26,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_11
| ~ spl2_12 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s27,plain,
( ~ spl2_6
| spl2_12 ),
inference(rat,[],[s22,s23]) ).
cnf(s28,plain,
spl2_1,
inference(rat,[],[s21,s24,s25]) ).
cnf(s31,plain,
spl2_12,
inference(rat,[],[s27,s4]) ).
cnf(s32,plain,
spl2_2,
inference(rat,[],[s26,s28,s23,s31]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s32,s28]) ).
fof(f1525,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG071+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/5.39 % Computer : n026.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Sun Sep 27 23:11:17 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/5.42 Running first-order model finding
% 0.15/5.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.29/6.57 % (3318375)Will run a generic schedule for satisfiability detection.
% 6.29/6.57 % (3318381)% WARNING: option uhcvi not known.
% 6.29/6.57 % (3318385)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=252013838:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.29/6.57 % (3318383)dis+10_1_sil=32000:sp=arity:random_seed=2484663137:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.29/6.57 % (3318380)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3792766406_2999 on theBenchmark for (2999ds/0Mi)
% 6.29/6.57 % (3318381)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3431553366:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.29/6.57 % (3318382)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=485804392:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.29/6.57 % (3318384)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=454760822:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.29/6.57 % (3318386)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2951591561:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.29/6.57 % TRYING [1]
% 6.29/6.57 % TRYING [2]
% 6.29/6.57 % TRYING [3]
% 6.29/6.57 % TRYING [4]
% 6.29/6.57 % (3318383)Instruction limit reached!
% 6.29/6.57 % (3318383)------------------------------
% 6.29/6.57 % (3318383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318383)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318383)Termination reason: Instruction limit
% 6.29/6.57 % (3318383)Termination phase: Saturation
% 6.29/6.57 % (3318383)Time elapsed: 0.061 s
% 6.29/6.57 % (3318383)Peak memory usage: 13 MB
% 6.29/6.57 % (3318383)Instructions burned: 103 (million)
% 6.29/6.57 % (3318385)Instruction limit reached!
% 6.29/6.57 % (3318385)------------------------------
% 6.29/6.57 % (3318385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318385)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318385)Termination reason: Instruction limit
% 6.29/6.57 % (3318385)Termination phase: Saturation
% 6.29/6.57 % (3318385)Time elapsed: 0.067 s
% 6.29/6.57 % (3318385)Peak memory usage: 12 MB
% 6.29/6.57 % (3318385)Instructions burned: 132 (million)
% 6.29/6.57 % (3318384)Instruction limit reached!
% 6.29/6.57 % (3318384)------------------------------
% 6.29/6.57 % (3318384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318384)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318384)Termination reason: Instruction limit
% 6.29/6.57 % (3318384)Termination phase: Saturation
% 6.29/6.57 % (3318384)Time elapsed: 0.068 s
% 6.29/6.57 % (3318384)Peak memory usage: 13 MB
% 6.29/6.57 % (3318384)Instructions burned: 117 (million)
% 6.29/6.57 % (3318394)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1427995533:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.29/6.57 % TRYING [5]
% 6.29/6.57 % (3318395)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1834942263:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.29/6.57 % (3318396)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=1706459880:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.29/6.57 % TRYING [1]
% 6.29/6.57 % TRYING [2]
% 6.29/6.57 % TRYING [3]
% 6.29/6.57 % (3318386)Instruction limit reached!
% 6.29/6.57 % (3318386)------------------------------
% 6.29/6.57 % (3318386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318386)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318386)Termination reason: Instruction limit
% 6.29/6.57 % (3318386)Termination phase: Saturation
% 6.29/6.57 % (3318386)Time elapsed: 0.098 s
% 6.29/6.57 % (3318386)Peak memory usage: 14 MB
% 6.29/6.57 % (3318386)Instructions burned: 159 (million)
% 6.29/6.57 % TRYING [4]
% 6.29/6.57 % (3318400)ott-21_1_sil=16000:fs=off:random_seed=2627627091:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.29/6.57 % (3318395)Instruction limit reached!
% 6.29/6.57 % (3318395)------------------------------
% 6.29/6.57 % (3318395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318395)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318395)Termination reason: Instruction limit
% 6.29/6.57 % (3318395)Termination phase: Saturation
% 6.29/6.57 % (3318395)Time elapsed: 0.060 s
% 6.29/6.57 % (3318395)Peak memory usage: 12 MB
% 6.29/6.57 % (3318395)Instructions burned: 132 (million)
% 6.29/6.57 % TRYING [5]
% 6.29/6.57 % (3318402)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=959692736:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 6.29/6.57 % (3318400)Instruction limit reached!
% 6.29/6.57 % (3318400)------------------------------
% 6.29/6.57 % (3318400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318400)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318400)Termination reason: Instruction limit
% 6.29/6.57 % (3318400)Termination phase: Saturation
% 6.29/6.57 % (3318400)Time elapsed: 0.091 s
% 6.29/6.57 % (3318400)Peak memory usage: 13 MB
% 6.29/6.57 % (3318400)Instructions burned: 180 (million)
% 6.29/6.57 % (3318404)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3174370096:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.29/6.57 % TRYING [1]
% 6.29/6.57 % TRYING [2]
% 6.29/6.57 % TRYING [6]
% 6.29/6.57 % TRYING [3]
% 6.29/6.57 % TRYING [4]
% 6.29/6.57 % TRYING [6]
% 6.29/6.57 % (3318394)Instruction limit reached!
% 6.29/6.57 % (3318394)------------------------------
% 6.29/6.57 % (3318394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318394)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318394)Termination reason: Instruction limit
% 6.29/6.57 % (3318394)Termination phase: Finite model building constraint generation
% 6.29/6.57 % (3318394)Time elapsed: 0.261 s
% 6.29/6.57 % (3318394)Peak memory usage: 37 MB
% 6.29/6.57 % (3318394)Instructions burned: 716 (million)
% 6.29/6.57 % (3318406)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1874274231:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.29/6.57 % (3318396)Instruction limit reached!
% 6.29/6.57 % (3318396)------------------------------
% 6.29/6.57 % (3318396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318396)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318396)Termination reason: Instruction limit
% 6.29/6.57 % (3318396)Termination phase: Saturation
% 6.29/6.57 % (3318396)Time elapsed: 0.280 s
% 6.29/6.57 % (3318396)Peak memory usage: 14 MB
% 6.29/6.57 % (3318396)Instructions burned: 686 (million)
% 6.29/6.57 % (3318408)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=174244181:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.29/6.57 % (3318402)Instruction limit reached!
% 6.29/6.57 % (3318402)------------------------------
% 6.29/6.57 % (3318402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318402)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318402)Termination reason: Instruction limit
% 6.29/6.57 % (3318402)Termination phase: Saturation
% 6.29/6.57 % (3318402)Time elapsed: 0.273 s
% 6.29/6.57 % (3318402)Peak memory usage: 13 MB
% 6.29/6.57 % (3318402)Instructions burned: 477 (million)
% 6.29/6.57 % (3318410)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=3378063734: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)
% 6.29/6.57 % TRYING [5]
% 6.29/6.57 % (3318404)Instruction limit reached!
% 6.29/6.57 % (3318404)------------------------------
% 6.29/6.57 % (3318404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318404)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318404)Termination reason: Instruction limit
% 6.29/6.57 % (3318404)Termination phase: Finite model building constraint generation
% 6.29/6.57 % (3318404)Time elapsed: 0.322 s
% 6.29/6.57 % (3318404)Peak memory usage: 20 MB
% 6.29/6.57 % (3318404)Instructions burned: 868 (million)
% 6.29/6.57 % (3318412)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=897667343:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.29/6.57 % TRYING [7]
% 6.29/6.57 % (3318408)Instruction limit reached!
% 6.29/6.57 % (3318408)------------------------------
% 6.29/6.57 % (3318408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318408)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318408)Termination reason: Instruction limit
% 6.29/6.57 % (3318408)Termination phase: Finite model building constraint generation
% 6.29/6.57 % (3318408)Time elapsed: 0.414 s
% 6.29/6.57 % (3318408)Peak memory usage: 107 MB
% 6.29/6.57 % (3318408)Instructions burned: 891 (million)
% 6.29/6.57 % (3318414)fmb+10_1_sil=64000:random_seed=288299072:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 6.29/6.57 % (3318412)Instruction limit reached!
% 6.29/6.57 % (3318412)------------------------------
% 6.29/6.57 % (3318412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318412)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318412)Termination reason: Instruction limit
% 6.29/6.57 % (3318412)Termination phase: Saturation
% 6.29/6.57 % (3318412)Time elapsed: 0.273 s
% 6.29/6.57 % (3318412)Peak memory usage: 20 MB
% 6.29/6.57 % (3318412)Instructions burned: 880 (million)
% 6.29/6.57 % TRYING [1]
% 6.29/6.57 % TRYING [2]
% 6.29/6.57 % (3318410)Instruction limit reached!
% 6.29/6.57 % (3318410)------------------------------
% 6.29/6.57 % (3318410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318410)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318410)Termination reason: Instruction limit
% 6.29/6.57 % (3318410)Termination phase: Saturation
% 6.29/6.57 % (3318410)Time elapsed: 0.384 s
% 6.29/6.57 % (3318410)Peak memory usage: 24 MB
% 6.29/6.57 % (3318410)Instructions burned: 692 (million)
% 6.29/6.57 % (3318416)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=340065242:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.29/6.57 % TRYING [3]
% 6.29/6.57 % TRYING [20]
% 6.29/6.57 % (3318417)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2065653268:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 6.29/6.57 % TRYING [8]
% 6.29/6.57 % TRYING [4]
% 6.29/6.57 % (3318406)Instruction limit reached!
% 6.29/6.57 % (3318406)------------------------------
% 6.29/6.57 % (3318406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318406)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318406)Termination reason: Instruction limit
% 6.29/6.57 % (3318406)Termination phase: Saturation
% 6.29/6.57 % (3318406)Time elapsed: 0.667 s
% 6.29/6.57 % (3318406)Peak memory usage: 25 MB
% 6.29/6.57 % (3318406)Instructions burned: 1181 (million)
% 6.29/6.57 % (3318420)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2672845927:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.29/6.57 % (3318420) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3318375-3318420"...
% 6.29/6.57 % (3318420)...printing done.
% 6.29/6.57 % (3318420)Refutation found. Thanks to Tanya!
% 6.29/6.57 % SZS status Theorem for theBenchmark
% 6.29/6.57 % SZS output start Proof for theBenchmark
% See solution above
% 6.29/6.57 % (3318420)------------------------------
% 6.29/6.57 % (3318420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.29/6.57 % (3318420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.29/6.57 % (3318420)CaDiCaL version: 2.1.3
% 6.29/6.57 % (3318420)Termination reason: Refutation
% 6.29/6.57 % (3318420)Time elapsed: 0.033 s
% 6.29/6.57 % (3318420)Peak memory usage: 13 MB
% 6.29/6.57 % (3318420)Instructions burned: 57 (million)
% 6.29/6.57 % (3318375)Success in time 1.142 s
% 6.29/6.57 % Vampire exiting
%------------------------------------------------------------------------------