%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM496+1 : 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 12:24:32 PM UTC 2026
% Result : Theorem 2.20s 0.91s
% Output : Refutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 15
% Syntax : Number of formulae : 91 ( 20 unt; 3 def)
% Number of atoms : 320 ( 41 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 414 ( 185 ~; 180 |; 31 &)
% ( 9 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 89 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
( aNaturalNumber0(sz10)
& sz10 != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulUnit) ).
fof(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f32,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X1,X2) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivTrans) ).
fof(f33,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,X2) )
=> doDivides0(X0,sdtpldt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivSum) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f42,axiom,
sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f43,axiom,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(f46,axiom,
( doDivides0(xp,xr)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2027) ).
fof(f47,conjecture,
( doDivides0(xp,xn)
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( doDivides0(xp,xn)
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f64,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f78,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f79,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f78]) ).
fof(f97,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f98,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f101,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f102,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f104,plain,
! [X0,X1,X2] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f103]) ).
fof(f117,plain,
( ~ doDivides0(xp,xn)
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f48]) ).
fof(f121,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = sdtmndt0(X1,X0)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X2) != X1 )
& ( ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f98]) ).
fof(f124,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK1(X0,X1))
& sdtasdt0(X0,sK1(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f124]) ).
fof(f135,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f137,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f145,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f161,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f182,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ doDivides0(X1,X2)
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f187,plain,
! [X2,X0,X1] :
( doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f201,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f203,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f207,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f208,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f212,plain,
( doDivides0(xp,xr)
| doDivides0(xp,xm) ),
inference(cnf_transformation,[],[f46]) ).
fof(f213,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f117]) ).
fof(f214,plain,
~ doDivides0(xp,xn),
inference(cnf_transformation,[],[f117]) ).
fof(f217,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f218,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f160]) ).
fof(f221,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f182]) ).
fof(f246,plain,
doDivides0(xp,xr),
inference(forward_subsumption_resolution,[],[f212,f213]) ).
fof(f1503,plain,
( aNaturalNumber0(xr)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f217,f208]) ).
fof(f1504,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1503,f207]) ).
fof(f1506,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xn) ),
inference(forward_subsumption_resolution,[],[f1504,f201]) ).
fof(f1507,plain,
aNaturalNumber0(xr),
inference(forward_subsumption_resolution,[],[f1506,f203]) ).
fof(f2047,definition,
( spl4_54
<=> aNaturalNumber0(xr) ),
introduced(definition,[new_symbols(definition,[spl4_54])],[avatar_definition]) ).
fof(f2048,plain,
( aNaturalNumber0(xr)
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2049,plain,
( ~ aNaturalNumber0(xr)
| spl4_54 ),
inference(avatar_component_clause,[],[f2047]) ).
fof(f2063,plain,
( $false
| spl4_54 ),
inference(forward_subsumption_resolution,[],[f1507,f2049]) ).
fof(f2064,plain,
spl4_54,
inference(avatar_contradiction_clause,[],[f2063]) ).
fof(f3984,definition,
( spl4_83
<=> aNaturalNumber0(xp) ),
introduced(definition,[new_symbols(definition,[spl4_83])],[avatar_definition]) ).
fof(f3985,plain,
( aNaturalNumber0(xp)
| ~ spl4_83 ),
inference(avatar_component_clause,[],[f3984]) ).
fof(f3988,definition,
( spl4_84
<=> sdtlseqdt0(xp,xn) ),
introduced(definition,[new_symbols(definition,[spl4_84])],[avatar_definition]) ).
fof(f3990,plain,
( sdtlseqdt0(xp,xn)
| ~ spl4_84 ),
inference(avatar_component_clause,[],[f3988]) ).
fof(f3996,plain,
( xp = sdtasdt0(xp,sz10)
| ~ spl4_83 ),
inference(resolution,[],[f3985,f145]) ).
fof(f4001,plain,
( xn = sdtpldt0(xp,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| ~ spl4_84 ),
inference(resolution,[],[f3990,f218]) ).
fof(f4004,plain,
( xn = sdtpldt0(xp,sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xn)
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f4001,f3985]) ).
fof(f4006,plain,
( xn = sdtpldt0(xp,sdtmndt0(xn,xp))
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f4004,f203]) ).
fof(f4025,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f221,f137]) ).
fof(f4036,plain,
spl4_83,
inference(avatar_split_clause,[],[f201,f3984]) ).
fof(f4057,plain,
spl4_84,
inference(avatar_split_clause,[],[f207,f3988]) ).
fof(f4083,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(sz10)
| ~ aNaturalNumber0(xp)
| ~ spl4_83 ),
inference(superposition,[],[f4025,f3996]) ).
fof(f4087,plain,
( doDivides0(xp,xp)
| ~ aNaturalNumber0(xp)
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4083,f135]) ).
fof(f4098,plain,
( doDivides0(xp,xp)
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4087,f3985]) ).
fof(f4469,plain,
! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) ),
inference(resolution,[],[f186,f246]) ).
fof(f4487,plain,
( ! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) )
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4469,f3985]) ).
fof(f4491,plain,
( ! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xr)
| ~ aNaturalNumber0(X0) )
| ~ spl4_54
| ~ spl4_83 ),
inference(forward_subsumption_resolution,[],[f4487,f2048]) ).
fof(f4936,plain,
( xn = sdtpldt0(xp,xr)
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_demodulation,[],[f4006,f208]) ).
fof(f10571,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr) )
| ~ spl4_83
| ~ spl4_84 ),
inference(superposition,[],[f187,f4936]) ).
fof(f10577,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xr) )
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f10571,f3985]) ).
fof(f10584,plain,
( ! [X0] :
( doDivides0(X0,xn)
| ~ doDivides0(X0,xp)
| ~ doDivides0(X0,xr)
| ~ aNaturalNumber0(X0) )
| ~ spl4_54
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f10577,f2048]) ).
fof(f10591,plain,
( ! [X0] :
( ~ doDivides0(X0,xp)
| doDivides0(X0,xn)
| ~ aNaturalNumber0(X0) )
| ~ spl4_54
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f10584,f4491]) ).
fof(f11609,plain,
( doDivides0(xp,xn)
| ~ aNaturalNumber0(xp)
| ~ spl4_54
| ~ spl4_83
| ~ spl4_84 ),
inference(resolution,[],[f10591,f4098]) ).
fof(f11618,plain,
( ~ aNaturalNumber0(xp)
| ~ spl4_54
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f11609,f214]) ).
fof(f11621,plain,
( $false
| ~ spl4_54
| ~ spl4_83
| ~ spl4_84 ),
inference(forward_subsumption_resolution,[],[f11618,f3985]) ).
fof(f11622,plain,
( ~ spl4_54
| ~ spl4_83
| ~ spl4_84 ),
inference(avatar_contradiction_clause,[],[f11621]) ).
cnf(s81,plain,
spl4_54,
inference(sat_conversion,[],[f2064]) ).
cnf(s153,plain,
spl4_83,
inference(sat_conversion,[],[f4036]) ).
cnf(s154,plain,
spl4_84,
inference(sat_conversion,[],[f4057]) ).
cnf(s331,plain,
( ~ spl4_54
| ~ spl4_83
| ~ spl4_84 ),
inference(sat_conversion,[],[f11622]) ).
cnf(s333,plain,
~ spl4_54,
inference(rat,[],[s331,s154,s153]) ).
cnf(s343,plain,
$false,
inference(rat,[],[s81,s333]) ).
fof(f11623,plain,
$false,
inference(avatar_sat_refutation,[],[s343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM496+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n026.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 20:14:42 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 2.20/0.91 % (3179738)Will run a generic schedule for satisfiability detection.
% 2.20/0.91 % (3179749)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1190418332:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.20/0.91 % (3179744)% WARNING: option uhcvi not known.
% 2.20/0.91 % (3179746)dis+10_1_sil=32000:sp=arity:random_seed=148120334:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.20/0.91 % (3179743)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=57925161_2999 on theBenchmark for (2999ds/0Mi)
% 2.20/0.91 % (3179744)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1922830545:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.20/0.91 % (3179745)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3567650543:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.20/0.91 % (3179747)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=426272975:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.20/0.91 % (3179748)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2887315364:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.20/0.91 % TRYING [1]
% 2.20/0.91 % TRYING [2]
% 2.20/0.91 % TRYING [3]
% 2.20/0.91 % TRYING [4]
% 2.20/0.91 % TRYING [5]
% 2.20/0.91 % (3179749)Instruction limit reached!
% 2.20/0.91 % (3179749)------------------------------
% 2.20/0.91 % (3179749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.91 % (3179749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.91 % (3179749)CaDiCaL version: 2.1.3
% 2.20/0.91 % (3179749)Termination reason: Instruction limit
% 2.20/0.91 % (3179749)Termination phase: Saturation
% 2.20/0.91 % (3179749)Time elapsed: 0.056 s
% 2.20/0.91 % (3179749)Peak memory usage: 14 MB
% 2.20/0.91 % (3179749)Instructions burned: 161 (million)
% 2.20/0.91 % (3179757)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=692755967:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.20/0.91 % (3179746)Instruction limit reached!
% 2.20/0.91 % (3179746)------------------------------
% 2.20/0.91 % (3179746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.91 % (3179746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.91 % (3179746)CaDiCaL version: 2.1.3
% 2.20/0.91 % (3179746)Termination reason: Instruction limit
% 2.20/0.91 % (3179746)Termination phase: Saturation
% 2.20/0.91 % (3179746)Time elapsed: 0.063 s
% 2.20/0.91 % (3179746)Peak memory usage: 13 MB
% 2.20/0.91 % (3179746)Instructions burned: 104 (million)
% 2.20/0.91 % TRYING [1]
% 2.20/0.91 % TRYING [2]
% 2.20/0.91 % TRYING [3]
% 2.20/0.91 % (3179747)Instruction limit reached!
% 2.20/0.91 % (3179747)------------------------------
% 2.20/0.91 % (3179747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.91 % (3179747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.91 % (3179747)CaDiCaL version: 2.1.3
% 2.20/0.91 % (3179747)Termination reason: Instruction limit
% 2.20/0.91 % (3179747)Termination phase: Saturation
% 2.20/0.91 % (3179747)Time elapsed: 0.066 s
% 2.20/0.91 % (3179747)Peak memory usage: 13 MB
% 2.20/0.91 % (3179747)Instructions burned: 116 (million)
% 2.20/0.91 % TRYING [4]
% 2.20/0.91 % (3179748)Instruction limit reached!
% 2.20/0.91 % (3179748)------------------------------
% 2.20/0.91 % (3179748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.91 % (3179748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.91 % (3179748)CaDiCaL version: 2.1.3
% 2.20/0.91 % (3179748)Termination reason: Instruction limit
% 2.20/0.91 % (3179748)Termination phase: Saturation
% 2.20/0.91 % (3179748)Time elapsed: 0.077 s
% 2.20/0.91 % (3179748)Peak memory usage: 14 MB
% 2.20/0.91 % (3179748)Instructions burned: 131 (million)
% 2.20/0.91 % (3179759)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3304807429:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.20/0.91 % TRYING [5]
% 2.20/0.91 % (3179760)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=1909659520:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.20/0.91 % (3179761)ott-21_1_sil=16000:fs=off:random_seed=1885607040:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.20/0.91 % TRYING [6]
% 2.20/0.91 % TRYING [6]
% 2.20/0.91 % (3179759)Instruction limit reached!
% 2.20/0.91 % (3179759)------------------------------
% 2.20/0.91 % (3179759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.91 % (3179759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.91 % (3179759)CaDiCaL version: 2.1.3
% 2.20/0.91 % (3179759)Termination reason: Instruction limit
% 2.20/0.91 % (3179759)Termination phase: Saturation
% 2.20/0.91 % (3179759)Time elapsed: 0.070 s
% 2.20/0.91 % (3179759)Peak memory usage: 12 MB
% 2.20/0.91 % (3179759)Instructions burned: 132 (million)
% 2.20/0.91 % (3179765)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=855521965:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 2.20/0.91 % (3179761)Instruction limit reached!
% 2.20/0.91 % (3179761)------------------------------
% 2.20/0.91 % (3179761)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.91 % (3179761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.91 % (3179761)CaDiCaL version: 2.1.3
% 2.20/0.91 % (3179761)Termination reason: Instruction limit
% 2.20/0.91 % (3179761)Termination phase: Saturation
% 2.20/0.91 % (3179761)Time elapsed: 0.095 s
% 2.20/0.91 % (3179761)Peak memory usage: 13 MB
% 2.20/0.91 % (3179761)Instructions burned: 180 (million)
% 2.20/0.91 % (3179757)Instruction limit reached!
% 2.20/0.91 % (3179757)------------------------------
% 2.20/0.91 % (3179757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.91 % (3179757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.91 % (3179757)CaDiCaL version: 2.1.3
% 2.20/0.91 % (3179757)Termination reason: Instruction limit
% 2.20/0.91 % (3179757)Termination phase: Finite model building constraint generation
% 2.20/0.91 % (3179757)Time elapsed: 0.137 s
% 2.20/0.91 % (3179757)Peak memory usage: 33 MB
% 2.20/0.91 % (3179757)Instructions burned: 715 (million)
% 2.20/0.91 % (3179768)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3607767622:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.20/0.91 % (3179767)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1089798589:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.20/0.91 % TRYING [1]
% 2.20/0.91 % TRYING [2]
% 2.20/0.91 % TRYING [3]
% 2.20/0.91 % TRYING [4]
% 2.20/0.91 % TRYING [7]
% 2.20/0.91 % TRYING [5]
% 2.20/0.91 % (3179765) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3179738-3179765"...
% 2.20/0.91 % (3179765)...printing done.
% 2.20/0.91 % (3179765)Refutation found. Thanks to Tanya!
% 2.20/0.91 % SZS status Theorem for theBenchmark
% 2.20/0.91 % SZS output start Proof for theBenchmark
% See solution above
% 2.20/0.92 % (3179765)------------------------------
% 2.20/0.92 % (3179765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.20/0.92 % (3179765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/0.92 % (3179765)CaDiCaL version: 2.1.3
% 2.20/0.92 % (3179765)Termination reason: Refutation
% 2.20/0.92 % (3179765)Time elapsed: 0.258 s
% 2.20/0.92 % (3179765)Peak memory usage: 15 MB
% 2.20/0.92 % (3179765)Instructions burned: 398 (million)
% 2.20/0.92 % (3179738)Success in time 0.475 s
% 2.20/0.92 % Vampire exiting
%------------------------------------------------------------------------------