%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM495+3 : 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 : n010.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 7.39s 1.80s
% Output : Refutation 9.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 11
% Syntax : Number of formulae : 69 ( 18 unt; 2 def)
% Number of atoms : 311 ( 76 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 360 ( 118 ~; 128 |; 99 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 46 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X1) = sdtasdt0(X2,X3) )
| doDivides0(X2,sdtasdt0(X0,X1)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X3] :
( aNaturalNumber0(X3)
& X0 = sdtasdt0(X2,X3) )
& doDivides0(X2,X0) )
| ( ? [X3] :
( aNaturalNumber0(X3)
& X1 = sdtasdt0(X2,X3) )
& doDivides0(X2,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f43,axiom,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xn
& xr = sdtmndt0(xn,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(f45,axiom,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X0) )
& doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1913) ).
fof(f46,axiom,
( sdtpldt0(sdtpldt0(xr,xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp)
& ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp) )
& sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2062) ).
fof(f47,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
| doDivides0(xp,xr)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
| doDivides0(xp,xr)
| ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xp,X0) )
| doDivides0(xp,xm) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( ( ( X2 != sz00
& X2 != sz10
& ! [X3] :
( ( aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) )
=> ( X3 = sz10
| X3 = X2 ) ) )
| isPrime0(X2) )
& ( ? [X5] :
( aNaturalNumber0(X5)
& sdtasdt0(X0,X1) = sdtasdt0(X2,X5) )
| doDivides0(X2,sdtasdt0(X0,X1)) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) ) ) ) ) ),
inference(rectify,[],[f40]) ).
fof(f50,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( ( aNaturalNumber0(X0)
& ( ? [X1] :
( aNaturalNumber0(X1)
& xp = sdtasdt0(X0,X1) )
| doDivides0(X0,xp) ) )
=> ( X0 = sz10
| X0 = xp ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(rectify,[],[f41]) ).
fof(f51,plain,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& xr = sdtasdt0(xp,X0) )
| doDivides0(xp,xr)
| ? [X1] :
( aNaturalNumber0(X1)
& xm = sdtasdt0(xp,X1) )
| doDivides0(xp,xm) ),
inference(rectify,[],[f48]) ).
fof(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f99,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f100,plain,
! [X0,X1] :
( iLess0(X0,X1)
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f99]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f49]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( ? [X6] :
( aNaturalNumber0(X6)
& sdtasdt0(X2,X6) = X0 )
& doDivides0(X2,X0) )
| ( ? [X7] :
( aNaturalNumber0(X7)
& sdtasdt0(X2,X7) = X1 )
& doDivides0(X2,X1) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( ( sz00 = X2
| sz10 = X2
| ? [X3] :
( sz10 != X3
& X2 != X3
& aNaturalNumber0(X3)
& ? [X4] :
( aNaturalNumber0(X4)
& X2 = sdtasdt0(X3,X4) )
& doDivides0(X3,X2) ) )
& ~ isPrime0(X2) )
| ( ! [X5] :
( ~ aNaturalNumber0(X5)
| sdtasdt0(X0,X1) != sdtasdt0(X2,X5) )
& ~ doDivides0(X2,sdtasdt0(X0,X1)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f122,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& ? [X2] :
( aNaturalNumber0(X2)
& sdtasdt0(xn,xm) = sdtasdt0(xp,X2) )
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != xr )
& ~ doDivides0(xp,xr)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| xm != sdtasdt0(xp,X1) )
& ~ doDivides0(xp,xm) ),
inference(ennf_transformation,[],[f51]) ).
fof(f127,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f169,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f191,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f192,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f193,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f224,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f231,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f122]) ).
fof(f239,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f246,plain,
doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f45]) ).
fof(f249,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f46]) ).
fof(f250,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp),
inference(cnf_transformation,[],[f46]) ).
fof(f253,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f123]) ).
fof(f254,plain,
~ doDivides0(xp,xr),
inference(cnf_transformation,[],[f123]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| isPrime0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(X2,X1)
| doDivides0(X2,X0) ),
inference(consistent_polarity_flipping,[],[f224]) ).
fof(f306,plain,
~ isPrime0(xp),
inference(consistent_polarity_flipping,[],[f231]) ).
fof(f482,definition,
( spl15_5
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f484,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| spl15_5 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f490,definition,
( spl15_7
<=> aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
introduced(definition,[new_symbols(definition,[spl15_7])],[avatar_definition]) ).
fof(f492,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| spl15_7 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f3888,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| isPrime0(xp)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xp,xm)
| doDivides0(xp,xr) ),
inference(resolution,[],[f277,f246]) ).
fof(f3905,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| isPrime0(xp)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xp,xm)
| doDivides0(xp,xr) ),
inference(forward_subsumption_resolution,[],[f3888,f192]) ).
fof(f3910,plain,
( ~ aNaturalNumber0(xp)
| isPrime0(xp)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xp,xm)
| doDivides0(xp,xr) ),
inference(forward_subsumption_resolution,[],[f3905,f239]) ).
fof(f3913,plain,
( isPrime0(xp)
| ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xp,xm)
| doDivides0(xp,xr) ),
inference(forward_subsumption_resolution,[],[f3910,f191]) ).
fof(f3915,plain,
( ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xp,xm)
| doDivides0(xp,xr) ),
inference(forward_subsumption_resolution,[],[f3913,f306]) ).
fof(f3917,plain,
( ~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| doDivides0(xp,xr) ),
inference(forward_subsumption_resolution,[],[f3915,f253]) ).
fof(f3919,plain,
~ iLess0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(forward_subsumption_resolution,[],[f3917,f254]) ).
fof(f3967,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(resolution,[],[f3919,f169]) ).
fof(f3968,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f3967,f249]) ).
fof(f3969,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f3968,f250]) ).
fof(f3970,plain,
( ~ spl15_5
| ~ spl15_7 ),
inference(avatar_split_clause,[],[f3969,f490,f482]) ).
fof(f9901,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xp)
| spl15_5 ),
inference(resolution,[],[f484,f127]) ).
fof(f9902,plain,
( ~ aNaturalNumber0(sdtpldt0(xn,xm))
| spl15_5 ),
inference(forward_subsumption_resolution,[],[f9901,f191]) ).
fof(f9903,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| ~ aNaturalNumber0(xp)
| spl15_7 ),
inference(resolution,[],[f492,f127]) ).
fof(f9904,plain,
( ~ aNaturalNumber0(sdtpldt0(xr,xm))
| spl15_7 ),
inference(forward_subsumption_resolution,[],[f9903,f191]) ).
fof(f49421,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| spl15_5 ),
inference(resolution,[],[f9902,f127]) ).
fof(f49422,plain,
( ~ aNaturalNumber0(xm)
| spl15_5 ),
inference(forward_subsumption_resolution,[],[f49421,f193]) ).
fof(f49423,plain,
( $false
| spl15_5 ),
inference(forward_subsumption_resolution,[],[f49422,f192]) ).
fof(f49424,plain,
spl15_5,
inference(avatar_contradiction_clause,[],[f49423]) ).
fof(f52535,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| spl15_7 ),
inference(resolution,[],[f9904,f127]) ).
fof(f52536,plain,
( ~ aNaturalNumber0(xm)
| spl15_7 ),
inference(forward_subsumption_resolution,[],[f52535,f239]) ).
fof(f52537,plain,
( $false
| spl15_7 ),
inference(forward_subsumption_resolution,[],[f52536,f192]) ).
fof(f52538,plain,
spl15_7,
inference(avatar_contradiction_clause,[],[f52537]) ).
cnf(s147,plain,
( ~ spl15_5
| ~ spl15_7 ),
inference(sat_conversion,[],[f3970]) ).
cnf(s4056,plain,
spl15_5,
inference(sat_conversion,[],[f49424]) ).
cnf(s4668,plain,
spl15_7,
inference(sat_conversion,[],[f52538]) ).
cnf(s4806,plain,
$false,
inference(rat,[],[s147,s4668,s4056]) ).
fof(f52539,plain,
$false,
inference(avatar_sat_refutation,[],[s4806]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM495+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n010.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 20:12:32 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
% 7.39/1.80 % (1276835)Will run a generic schedule for satisfiability detection.
% 7.39/1.80 % (1276844)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1168440190:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.39/1.80 % (1276841)% WARNING: option uhcvi not known.
% 7.39/1.80 % (1276840)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3043391200_2999 on theBenchmark for (2999ds/0Mi)
% 7.39/1.80 % (1276841)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2378219243:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.39/1.80 % (1276843)dis+10_1_sil=32000:sp=arity:random_seed=100437048:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.39/1.80 % (1276842)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=49900859:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.39/1.80 % (1276845)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=289137826:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.39/1.80 % (1276846)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2760553950:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.39/1.80 % Detected minimum model sizes of [3]
% 7.39/1.80 % Detected maximum model sizes of [max]
% 7.39/1.80 % TRYING [3]
% 7.39/1.80 % TRYING [4]
% 7.39/1.80 % (1276844)Instruction limit reached!
% 7.39/1.80 % (1276844)------------------------------
% 7.39/1.80 % (1276844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276844)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276844)Termination reason: Instruction limit
% 7.39/1.80 % (1276844)Termination phase: Saturation
% 7.39/1.80 % (1276844)Time elapsed: 0.034 s
% 7.39/1.80 % (1276844)Peak memory usage: 13 MB
% 7.39/1.80 % (1276844)Instructions burned: 119 (million)
% 7.39/1.80 % (1276854)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3152480587:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.39/1.80 % Detected minimum model sizes of [3]
% 7.39/1.80 % Detected maximum model sizes of [max]
% 7.39/1.80 % TRYING [3]
% 7.39/1.80 % TRYING [4]
% 7.39/1.80 % TRYING [5]
% 7.39/1.80 % (1276843)Instruction limit reached!
% 7.39/1.80 % (1276843)------------------------------
% 7.39/1.80 % (1276843)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276843)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276843)Termination reason: Instruction limit
% 7.39/1.80 % (1276843)Termination phase: Saturation
% 7.39/1.80 % (1276843)Time elapsed: 0.059 s
% 7.39/1.80 % (1276843)Peak memory usage: 12 MB
% 7.39/1.80 % (1276843)Instructions burned: 105 (million)
% 7.39/1.80 % TRYING [5]
% 7.39/1.80 % (1276845)Instruction limit reached!
% 7.39/1.80 % (1276845)------------------------------
% 7.39/1.80 % (1276845)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276845)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276845)Termination reason: Instruction limit
% 7.39/1.80 % (1276845)Termination phase: Saturation
% 7.39/1.80 % (1276845)Time elapsed: 0.071 s
% 7.39/1.80 % (1276845)Peak memory usage: 13 MB
% 7.39/1.80 % (1276845)Instructions burned: 132 (million)
% 7.39/1.80 % (1276856)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1989390919:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 7.39/1.80 % (1276857)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=2481508701:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.39/1.80 % (1276846)Instruction limit reached!
% 7.39/1.80 % (1276846)------------------------------
% 7.39/1.80 % (1276846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276846)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276846)Termination reason: Instruction limit
% 7.39/1.80 % (1276846)Termination phase: Saturation
% 7.39/1.80 % (1276846)Time elapsed: 0.094 s
% 7.39/1.80 % (1276846)Peak memory usage: 15 MB
% 7.39/1.80 % (1276846)Instructions burned: 159 (million)
% 7.39/1.80 % TRYING [6]
% 7.39/1.80 % (1276860)ott-21_1_sil=16000:fs=off:random_seed=2419156732:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.39/1.80 % (1276856)Instruction limit reached!
% 7.39/1.80 % (1276856)------------------------------
% 7.39/1.80 % (1276856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % TRYING [6]
% 7.39/1.80 % (1276856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276856)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276856)Termination reason: Instruction limit
% 7.39/1.80 % (1276856)Termination phase: Saturation
% 7.39/1.80 % (1276856)Time elapsed: 0.063 s
% 7.39/1.80 % (1276856)Peak memory usage: 12 MB
% 7.39/1.80 % (1276856)Instructions burned: 132 (million)
% 7.39/1.80 % (1276862)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1520677708:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 7.39/1.80 % (1276854)Instruction limit reached!
% 7.39/1.80 % (1276854)------------------------------
% 7.39/1.80 % (1276854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276854)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276854)Termination reason: Instruction limit
% 7.39/1.80 % (1276854)Termination phase: Finite model building constraint generation
% 7.39/1.80 % (1276854)Time elapsed: 0.137 s
% 7.39/1.80 % (1276854)Peak memory usage: 31 MB
% 7.39/1.80 % (1276854)Instructions burned: 718 (million)
% 7.39/1.80 % (1276864)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3111929293:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.39/1.80 % Detected minimum model sizes of [3]
% 7.39/1.80 % Detected maximum model sizes of [max]
% 7.39/1.80 % TRYING [3]
% 7.39/1.80 % TRYING [4]
% 7.39/1.80 % (1276860)Instruction limit reached!
% 7.39/1.80 % (1276860)------------------------------
% 7.39/1.80 % (1276860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276860)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276860)Termination reason: Instruction limit
% 7.39/1.80 % (1276860)Termination phase: Saturation
% 7.39/1.80 % (1276860)Time elapsed: 0.093 s
% 7.39/1.80 % (1276860)Peak memory usage: 13 MB
% 7.39/1.80 % (1276860)Instructions burned: 181 (million)
% 7.39/1.80 % (1276866)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3967159433:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.39/1.80 % TRYING [5]
% 7.39/1.80 % TRYING [7]
% 7.39/1.80 % (1276864)Instruction limit reached!
% 7.39/1.80 % (1276864)------------------------------
% 7.39/1.80 % (1276864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276864)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276864)Termination reason: Instruction limit
% 7.39/1.80 % (1276864)Termination phase: Finite model building SAT solving
% 7.39/1.80 % (1276864)Time elapsed: 0.187 s
% 7.39/1.80 % (1276864)Peak memory usage: 23 MB
% 7.39/1.80 % (1276864)Instructions burned: 870 (million)
% 7.39/1.80 % (1276868)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3054235545:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 7.39/1.80 % (1276862)Instruction limit reached!
% 7.39/1.80 % (1276862)------------------------------
% 7.39/1.80 % (1276862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276862)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276862)Termination reason: Instruction limit
% 7.39/1.80 % (1276862)Termination phase: Saturation
% 7.39/1.80 % (1276862)Time elapsed: 0.304 s
% 7.39/1.80 % (1276862)Peak memory usage: 14 MB
% 7.39/1.80 % (1276862)Instructions burned: 478 (million)
% 7.39/1.80 % (1276857)Instruction limit reached!
% 7.39/1.80 % (1276857)------------------------------
% 7.39/1.80 % (1276857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276857)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276857)Termination reason: Instruction limit
% 7.39/1.80 % (1276857)Termination phase: Saturation
% 7.39/1.80 % (1276857)Time elapsed: 0.384 s
% 7.39/1.80 % (1276857)Peak memory usage: 20 MB
% 7.39/1.80 % (1276857)Instructions burned: 686 (million)
% 7.39/1.80 % TRYING [14]
% 7.39/1.80 % (1276870)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=4166991459: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)
% 7.39/1.80 % (1276871)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1489348517:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.39/1.80 % (1276868)Instruction limit reached!
% 7.39/1.80 % (1276868)------------------------------
% 7.39/1.80 % (1276868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276868)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276868)Termination reason: Instruction limit
% 7.39/1.80 % (1276868)Termination phase: Finite model building constraint generation
% 7.39/1.80 % (1276868)Time elapsed: 0.190 s
% 7.39/1.80 % (1276868)Peak memory usage: 76 MB
% 7.39/1.80 % (1276868)Instructions burned: 893 (million)
% 7.39/1.80 % (1276874)fmb+10_1_sil=64000:random_seed=18963953:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 7.39/1.80 % Detected minimum model sizes of [3]
% 7.39/1.80 % Detected maximum model sizes of [max]
% 7.39/1.80 % TRYING [3]
% 7.39/1.80 % TRYING [4]
% 7.39/1.80 % TRYING [5]
% 7.39/1.80 % TRYING [8]
% 7.39/1.80 % TRYING [6]
% 7.39/1.80 % (1276870)Instruction limit reached!
% 7.39/1.80 % (1276870)------------------------------
% 7.39/1.80 % (1276870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276870)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276870)Termination reason: Instruction limit
% 7.39/1.80 % (1276870)Termination phase: Saturation
% 7.39/1.80 % (1276870)Time elapsed: 0.364 s
% 7.39/1.80 % (1276870)Peak memory usage: 21 MB
% 7.39/1.80 % (1276870)Instructions burned: 694 (million)
% 7.39/1.80 % (1276876)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3736167856:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 7.39/1.80 % Detected minimum model sizes of [3]
% 7.39/1.80 % Detected maximum model sizes of [max]
% 7.39/1.80 % TRYING [20]
% 7.39/1.80 % (1276866)Instruction limit reached!
% 7.39/1.80 % (1276866)------------------------------
% 7.39/1.80 % (1276866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276866)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276866)Termination reason: Instruction limit
% 7.39/1.80 % (1276866)Termination phase: Saturation
% 7.39/1.80 % (1276866)Time elapsed: 0.667 s
% 7.39/1.80 % (1276866)Peak memory usage: 24 MB
% 7.39/1.80 % (1276866)Instructions burned: 1179 (million)
% 7.39/1.80 % (1276878)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=696363667:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.39/1.80 % Detected minimum model sizes of [3]
% 7.39/1.80 % Detected maximum model sizes of [max]
% 7.39/1.80 % TRYING [8]
% 7.39/1.80 % (1276871)Instruction limit reached!
% 7.39/1.80 % (1276871)------------------------------
% 7.39/1.80 % (1276871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276871)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276871)Termination reason: Instruction limit
% 7.39/1.80 % (1276871)Termination phase: Saturation
% 7.39/1.80 % (1276871)Time elapsed: 0.494 s
% 7.39/1.80 % (1276871)Peak memory usage: 20 MB
% 7.39/1.80 % (1276871)Instructions burned: 881 (million)
% 7.39/1.80 % (1276880)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1328671782:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.39/1.80 % TRYING [7]
% 7.39/1.80 % (1276878)Instruction limit reached!
% 7.39/1.80 % (1276878)------------------------------
% 7.39/1.80 % (1276878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.39/1.80 % (1276878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.39/1.80 % (1276878)CaDiCaL version: 2.1.3
% 7.39/1.80 % (1276878)Termination reason: Instruction limit
% 7.39/1.80 % (1276878)Termination phase: Finite model building constraint generation
% 7.39/1.80 % (1276878)Time elapsed: 0.339 s
% 7.39/1.80 % (1276878)Peak memory usage: 69 MB
% 7.39/1.80 % (1276878)Instructions burned: 920 (million)
% 7.39/1.80 % (1276882)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2269063610:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 7.39/1.80 % (1276841) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1276835-1276841"...
% 7.39/1.80 % (1276841)...printing done.
% 7.39/1.80 % (1276841)Refutation found. Thanks to Tanya!
% 7.39/1.80 % SZS status Theorem for theBenchmark
% 7.39/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 9.67/1.80 % (1276841)------------------------------
% 9.67/1.80 % (1276841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.67/1.80 % (1276841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.67/1.80 % (1276841)CaDiCaL version: 2.1.3
% 9.67/1.80 % (1276841)Termination reason: Refutation
% 9.67/1.80 % (1276841)Time elapsed: 1.307 s
% 9.67/1.80 % (1276841)Peak memory usage: 34 MB
% 9.67/1.80 % (1276841)Instructions burned: 2496 (million)
% 9.67/1.80 % (1276835)Success in time 1.361 s
% 9.67/1.80 % Vampire exiting
%------------------------------------------------------------------------------