%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM492+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 : n001.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 12:24:31 PM UTC 2026
% Result : Theorem 1.94s 0.85s
% Output : Refutation 1.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 87 ( 30 unt; 4 def)
% Number of atoms : 274 ( 37 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 342 ( 155 ~; 147 |; 25 &)
% ( 9 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 70 ( 0 sgn 65 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
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(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,sdtpldt0(X1,X2)) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivMin) ).
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,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1951) ).
fof(f47,axiom,
sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1978) ).
fof(f48,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& doDivides0(xp,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2001) ).
fof(f49,conjecture,
doDivides0(xp,sdtasdt0(xr,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f50,negated_conjecture,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(negated_conjecture,[status(cth)],[f49]) ).
fof(f53,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(flattening,[],[f50]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f57,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f56]) ).
fof(f81,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(f82,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f81]) ).
fof(f100,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f101,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f100]) ).
fof(f108,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f109,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f108]) ).
fof(f123,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,[],[f82]) ).
fof(f124,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,[],[f123]) ).
fof(f125,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,[],[f101]) ).
fof(f126,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,[],[f125]) ).
fof(f127,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))],[f126]) ).
fof(f139,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f163,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f184,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f109]) ).
fof(f203,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f204,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f205,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f209,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f210,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f214,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f46]) ).
fof(f215,plain,
sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f47]) ).
fof(f217,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f48]) ).
fof(f218,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f53]) ).
fof(f221,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f163]) ).
fof(f225,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f184]) ).
fof(f231,definition,
sF4 = sdtasdt0(xr,xm),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f232,plain,
sdtasdt0(xr,xm) = sF4,
inference(reorient_equations,[],[f231]) ).
fof(f233,plain,
~ doDivides0(xp,sF4),
inference(definition_folding,[],[f218,f232]) ).
fof(f235,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))),
inference(forward_demodulation,[],[f214,f215]) ).
fof(f256,plain,
sF4 = sdtasdt0(sdtmndt0(xn,xp),xm),
inference(forward_demodulation,[],[f232,f210]) ).
fof(f309,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f139,f256]) ).
fof(f311,plain,
( aNaturalNumber0(sF4)
| ~ aNaturalNumber0(sdtmndt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f309,f204]) ).
fof(f313,definition,
( spl5_5
<=> aNaturalNumber0(sdtmndt0(xn,xp)) ),
introduced(definition,[new_symbols(definition,[spl5_5])],[avatar_definition]) ).
fof(f315,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,xp))
| spl5_5 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f317,definition,
( spl5_6
<=> aNaturalNumber0(sF4) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f319,plain,
( aNaturalNumber0(sF4)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f320,plain,
( ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f311,f317,f313]) ).
fof(f324,plain,
sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sdtasdt0(sdtmndt0(xn,xp),xm),
inference(superposition,[],[f215,f210]) ).
fof(f327,plain,
sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) = sF4,
inference(forward_demodulation,[],[f324,f256]) ).
fof(f386,definition,
( spl5_9
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl5_9])],[avatar_definition]) ).
fof(f387,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| spl5_9 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f414,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl5_9 ),
inference(resolution,[],[f388,f139]) ).
fof(f415,plain,
( ~ aNaturalNumber0(xm)
| spl5_9 ),
inference(forward_subsumption_resolution,[],[f414,f203]) ).
fof(f416,plain,
( $false
| spl5_9 ),
inference(forward_subsumption_resolution,[],[f415,f204]) ).
fof(f417,plain,
spl5_9,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f418,plain,
( aNaturalNumber0(sdtmndt0(xn,xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn) ),
inference(resolution,[],[f221,f209]) ).
fof(f431,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f418,f315]) ).
fof(f433,plain,
( ~ aNaturalNumber0(xn)
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f431,f203]) ).
fof(f435,plain,
( $false
| spl5_5 ),
inference(forward_subsumption_resolution,[],[f433,f205]) ).
fof(f436,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f1664,plain,
! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))) ),
inference(superposition,[],[f190,f235]) ).
fof(f1676,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))) )
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f1664,f387]) ).
fof(f2667,plain,
( ! [X0] :
( doDivides0(X0,sF4)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))) )
| ~ spl5_9 ),
inference(forward_demodulation,[],[f1676,f327]) ).
fof(f3902,plain,
( ! [X0] :
( ~ aNaturalNumber0(sF4)
| doDivides0(X0,sF4)
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0) )
| ~ spl5_9 ),
inference(forward_demodulation,[],[f2667,f327]) ).
fof(f3937,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,xm))
| ~ doDivides0(X0,sdtasdt0(xn,xm))
| doDivides0(X0,sF4)
| ~ aNaturalNumber0(X0) )
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f3902,f319]) ).
fof(f14805,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| doDivides0(xp,sF4)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl5_6
| ~ spl5_9 ),
inference(resolution,[],[f3937,f225]) ).
fof(f14810,plain,
( ~ doDivides0(xp,sdtasdt0(xn,xm))
| doDivides0(xp,sF4)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl5_6
| ~ spl5_9 ),
inference(duplicate_literal_removal,[],[f14805]) ).
fof(f14815,plain,
( doDivides0(xp,sF4)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f14810,f217]) ).
fof(f14821,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f14815,f233]) ).
fof(f14827,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f14821,f203]) ).
fof(f14833,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f14827,f204]) ).
fof(f14836,plain,
( $false
| ~ spl5_6
| ~ spl5_9 ),
inference(forward_subsumption_resolution,[],[f14833,f387]) ).
fof(f14837,plain,
( ~ spl5_6
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f14836]) ).
cnf(s5,plain,
( ~ spl5_5
| spl5_6 ),
inference(sat_conversion,[],[f320]) ).
cnf(s9,plain,
spl5_9,
inference(sat_conversion,[],[f417]) ).
cnf(s10,plain,
spl5_5,
inference(sat_conversion,[],[f436]) ).
cnf(s242,plain,
( ~ spl5_6
| ~ spl5_9 ),
inference(sat_conversion,[],[f14837]) ).
cnf(s243,plain,
~ spl5_6,
inference(rat,[],[s242,s9]) ).
cnf(s246,plain,
$false,
inference(rat,[],[s5,s243,s10]) ).
fof(f14847,plain,
$false,
inference(avatar_sat_refutation,[],[s246]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM492+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n001.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:16:32 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
% 1.94/0.85 % (3921850)Will run a generic schedule for satisfiability detection.
% 1.94/0.85 % (3921861)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1187118632:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.94/0.85 % (3921856)% WARNING: option uhcvi not known.
% 1.94/0.85 % (3921859)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3517255745:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.94/0.85 % (3921860)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1126032606:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.85 % (3921855)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2573317714_2999 on theBenchmark for (2999ds/0Mi)
% 1.94/0.85 % (3921858)dis+10_1_sil=32000:sp=arity:random_seed=2056255847:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.94/0.85 % (3921857)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1463336971:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.94/0.85 % (3921856)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2405341722:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.94/0.85 % TRYING [1]
% 1.94/0.85 % TRYING [2]
% 1.94/0.85 % TRYING [3]
% 1.94/0.85 % TRYING [4]
% 1.94/0.85 % TRYING [5]
% 1.94/0.85 % (3921861)Instruction limit reached!
% 1.94/0.85 % (3921861)------------------------------
% 1.94/0.85 % (3921861)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921861)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921861)Termination reason: Instruction limit
% 1.94/0.85 % (3921861)Termination phase: Saturation
% 1.94/0.85 % (3921861)Time elapsed: 0.055 s
% 1.94/0.85 % (3921861)Peak memory usage: 14 MB
% 1.94/0.85 % (3921861)Instructions burned: 159 (million)
% 1.94/0.85 % (3921869)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=12392601:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.94/0.85 % (3921858)Instruction limit reached!
% 1.94/0.85 % (3921858)------------------------------
% 1.94/0.85 % (3921858)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921858)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921858)Termination reason: Instruction limit
% 1.94/0.85 % (3921858)Termination phase: Saturation
% 1.94/0.85 % (3921858)Time elapsed: 0.060 s
% 1.94/0.85 % (3921858)Peak memory usage: 12 MB
% 1.94/0.85 % (3921858)Instructions burned: 104 (million)
% 1.94/0.85 % TRYING [1]
% 1.94/0.85 % TRYING [2]
% 1.94/0.85 % TRYING [3]
% 1.94/0.85 % TRYING [4]
% 1.94/0.85 % (3921859)Instruction limit reached!
% 1.94/0.85 % (3921859)------------------------------
% 1.94/0.85 % (3921859)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921859)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921859)Termination reason: Instruction limit
% 1.94/0.85 % (3921859)Termination phase: Saturation
% 1.94/0.85 % (3921859)Time elapsed: 0.071 s
% 1.94/0.85 % (3921859)Peak memory usage: 13 MB
% 1.94/0.85 % (3921859)Instructions burned: 122 (million)
% 1.94/0.85 % (3921860)Instruction limit reached!
% 1.94/0.85 % (3921860)------------------------------
% 1.94/0.85 % (3921860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921860)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921860)Termination reason: Instruction limit
% 1.94/0.85 % (3921860)Termination phase: Saturation
% 1.94/0.85 % (3921860)Time elapsed: 0.078 s
% 1.94/0.85 % (3921860)Peak memory usage: 13 MB
% 1.94/0.85 % (3921860)Instructions burned: 132 (million)
% 1.94/0.85 % (3921871)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1415406667:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.94/0.85 % TRYING [5]
% 1.94/0.85 % (3921872)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=1576759372:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.94/0.85 % (3921873)ott-21_1_sil=16000:fs=off:random_seed=2075866256:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.94/0.85 % TRYING [6]
% 1.94/0.85 % TRYING [6]
% 1.94/0.85 % (3921871)Instruction limit reached!
% 1.94/0.85 % (3921871)------------------------------
% 1.94/0.85 % (3921871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921871)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921871)Termination reason: Instruction limit
% 1.94/0.85 % (3921871)Termination phase: Saturation
% 1.94/0.85 % (3921871)Time elapsed: 0.069 s
% 1.94/0.85 % (3921871)Peak memory usage: 12 MB
% 1.94/0.85 % (3921871)Instructions burned: 132 (million)
% 1.94/0.85 % (3921877)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2654884553:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.94/0.85 % (3921873)Instruction limit reached!
% 1.94/0.85 % (3921873)------------------------------
% 1.94/0.85 % (3921873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921873)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921873)Termination reason: Instruction limit
% 1.94/0.85 % (3921873)Termination phase: Saturation
% 1.94/0.85 % (3921873)Time elapsed: 0.095 s
% 1.94/0.85 % (3921873)Peak memory usage: 13 MB
% 1.94/0.85 % (3921873)Instructions burned: 181 (million)
% 1.94/0.85 % (3921869)Instruction limit reached!
% 1.94/0.85 % (3921869)------------------------------
% 1.94/0.85 % (3921869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921869)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921869)Termination reason: Instruction limit
% 1.94/0.85 % (3921869)Termination phase: Finite model building constraint generation
% 1.94/0.85 % (3921869)Time elapsed: 0.139 s
% 1.94/0.85 % (3921869)Peak memory usage: 34 MB
% 1.94/0.85 % (3921869)Instructions burned: 717 (million)
% 1.94/0.85 % (3921880)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3918449062:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.94/0.85 % (3921879)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2700661800:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.94/0.85 % TRYING [1]
% 1.94/0.85 % TRYING [2]
% 1.94/0.85 % TRYING [3]
% 1.94/0.85 % TRYING [4]
% 1.94/0.85 % TRYING [7]
% 1.94/0.85 % TRYING [5]
% 1.94/0.85 % (3921880) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3921850-3921880"...
% 1.94/0.85 % (3921880)...printing done.
% 1.94/0.85 % (3921880)Refutation found. Thanks to Tanya!
% 1.94/0.85 % SZS status Theorem for theBenchmark
% 1.94/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 1.94/0.85 % (3921880)------------------------------
% 1.94/0.85 % (3921880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.94/0.85 % (3921880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.94/0.85 % (3921880)CaDiCaL version: 2.1.3
% 1.94/0.85 % (3921880)Termination reason: Refutation
% 1.94/0.85 % (3921880)Time elapsed: 0.168 s
% 1.94/0.85 % (3921880)Peak memory usage: 18 MB
% 1.94/0.85 % (3921880)Instructions burned: 569 (million)
% 1.94/0.85 % (3921850)Success in time 0.414 s
% 1.94/0.85 % Vampire exiting
%------------------------------------------------------------------------------