%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM487+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 : n017.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 12:24:30 PM UTC 2026
% Result : Theorem 1.12s 0.62s
% Output : Refutation 1.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 88 ( 20 unt; 3 def)
% Number of atoms : 306 ( 94 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 335 ( 117 ~; 141 |; 61 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 73 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtpldt0(X0,X1) = sdtpldt0(X0,X2)
| sdtpldt0(X1,X0) = sdtpldt0(X2,X0) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f24,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != X1
& sdtlseqdt0(X0,X1) )
=> ! [X2] :
( aNaturalNumber0(X2)
=> ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonAdd) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
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(f44,conjecture,
( xr != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xn )
| sdtlseqdt0(xr,xn) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( xr != xn
& ( ? [X0] :
( aNaturalNumber0(X0)
& sdtpldt0(xr,X0) = xn )
| sdtlseqdt0(xr,xn) ) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f47,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(f49,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f50,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f49]) ).
fof(f57,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f66,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f67,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
& sdtpldt0(X1,X0) != sdtpldt0(X2,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f66]) ).
fof(f74,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f75,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f74]) ).
fof(f85,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f86,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt0(X2,X0) != sdtpldt0(X2,X1)
& sdtlseqdt0(sdtpldt0(X2,X0),sdtpldt0(X2,X1))
& sdtpldt0(X0,X2) != sdtpldt0(X1,X2)
& sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) )
| ~ aNaturalNumber0(X2) )
| X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f85]) ).
fof(f117,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,[],[f47]) ).
fof(f118,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,[],[f117]) ).
fof(f119,plain,
( xn = xr
| ( ! [X0] :
( ~ aNaturalNumber0(X0)
| xn != sdtpldt0(xr,X0) )
& ~ sdtlseqdt0(xr,xn) ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f120,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f123,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f127,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f67]) ).
fof(f146,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f155,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f189,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f229,plain,
sz00 != xp,
inference(cnf_transformation,[],[f118]) ).
fof(f234,plain,
xn = sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f43]) ).
fof(f235,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f237,plain,
( ~ sdtlseqdt0(xr,xn)
| xn = xr ),
inference(cnf_transformation,[],[f119]) ).
fof(f238,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f146]) ).
fof(f251,plain,
~ aNaturalNumber0(sz00),
inference(consistent_polarity_flipping,[],[f120]) ).
fof(f253,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f258,plain,
! [X0] :
( aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f268,plain,
! [X2,X0,X1] :
( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| aNaturalNumber0(X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f274,plain,
! [X2,X0] :
( aNaturalNumber0(sdtpldt0(X0,X2))
| aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f238]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ sdtlseqdt0(sdtpldt0(X0,X2),sdtpldt0(X1,X2))
| aNaturalNumber0(X0)
| sdtlseqdt0(X0,X1)
| X0 = X1
| aNaturalNumber0(X2)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f155]) ).
fof(f317,plain,
~ aNaturalNumber0(xn),
inference(consistent_polarity_flipping,[],[f189]) ).
fof(f319,plain,
~ aNaturalNumber0(xp),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f356,plain,
~ aNaturalNumber0(xr),
inference(consistent_polarity_flipping,[],[f235]) ).
fof(f357,plain,
( sdtlseqdt0(xr,xn)
| xn = xr ),
inference(consistent_polarity_flipping,[],[f237]) ).
fof(f361,definition,
( spl12_1
<=> xn = xr ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f363,plain,
( xn = xr
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f369,definition,
( spl12_3
<=> sdtlseqdt0(xr,xn) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f371,plain,
( sdtlseqdt0(xr,xn)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f372,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f357,f369,f361]) ).
fof(f387,definition,
( spl12_7
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f388,plain,
( ~ aNaturalNumber0(sz00)
| spl12_7 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f392,plain,
~ spl12_7,
inference(avatar_split_clause,[],[f251,f387]) ).
fof(f405,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f258,f317]) ).
fof(f407,plain,
xp = sdtpldt0(sz00,xp),
inference(resolution,[],[f258,f319]) ).
fof(f408,plain,
xr = sdtpldt0(sz00,xr),
inference(resolution,[],[f258,f356]) ).
fof(f623,plain,
! [X2,X0] :
( ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| aNaturalNumber0(X2)
| aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f274,f253]) ).
fof(f626,plain,
( ~ sdtlseqdt0(sz00,xp)
| aNaturalNumber0(xp)
| aNaturalNumber0(sz00) ),
inference(superposition,[],[f623,f407]) ).
fof(f635,plain,
( ~ sdtlseqdt0(sz00,xp)
| aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f626,f319]) ).
fof(f638,plain,
( ~ sdtlseqdt0(sz00,xp)
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f635,f388]) ).
fof(f969,plain,
! [X0] :
( xn != sdtpldt0(X0,xr)
| aNaturalNumber0(X0)
| aNaturalNumber0(xr)
| aNaturalNumber0(xp)
| xp = X0 ),
inference(superposition,[],[f268,f234]) ).
fof(f980,plain,
! [X0] :
( xn != sdtpldt0(X0,xr)
| aNaturalNumber0(X0)
| aNaturalNumber0(xp)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f969,f356]) ).
fof(f1002,plain,
! [X0] :
( xn != sdtpldt0(X0,xr)
| aNaturalNumber0(X0)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f980,f319]) ).
fof(f1021,plain,
( ! [X0] :
( xn != sdtpldt0(X0,xn)
| aNaturalNumber0(X0)
| xp = X0 )
| ~ spl12_1 ),
inference(forward_demodulation,[],[f1002,f363]) ).
fof(f1625,plain,
! [X0] :
( ~ sdtlseqdt0(sdtpldt0(X0,xr),xn)
| aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| xp = X0
| aNaturalNumber0(xr)
| aNaturalNumber0(xp) ),
inference(superposition,[],[f288,f234]) ).
fof(f1634,plain,
! [X0] :
( ~ sdtlseqdt0(sdtpldt0(X0,xr),xn)
| aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| xp = X0
| aNaturalNumber0(xp) ),
inference(forward_subsumption_resolution,[],[f1625,f356]) ).
fof(f1666,plain,
! [X0] :
( ~ sdtlseqdt0(sdtpldt0(X0,xr),xn)
| aNaturalNumber0(X0)
| sdtlseqdt0(X0,xp)
| xp = X0 ),
inference(forward_subsumption_resolution,[],[f1634,f319]) ).
fof(f2188,plain,
( xn != xn
| aNaturalNumber0(sz00)
| sz00 = xp
| ~ spl12_1 ),
inference(superposition,[],[f1021,f405]) ).
fof(f2189,plain,
( aNaturalNumber0(sz00)
| sz00 = xp
| ~ spl12_1 ),
inference(trivial_inequality_removal,[],[f2188]) ).
fof(f2190,plain,
( sz00 = xp
| ~ spl12_1
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f2189,f388]) ).
fof(f2191,plain,
( $false
| ~ spl12_1
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f2190,f229]) ).
fof(f2192,plain,
( ~ spl12_1
| spl12_7 ),
inference(avatar_contradiction_clause,[],[f2191]) ).
fof(f7735,plain,
( ~ sdtlseqdt0(xr,xn)
| aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,xp)
| sz00 = xp ),
inference(superposition,[],[f1666,f408]) ).
fof(f7736,plain,
( aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,xp)
| sz00 = xp
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f7735,f371]) ).
fof(f7741,plain,
( sdtlseqdt0(sz00,xp)
| sz00 = xp
| ~ spl12_3
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f7736,f388]) ).
fof(f7744,plain,
( sz00 = xp
| ~ spl12_3
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f7741,f638]) ).
fof(f7745,plain,
( $false
| ~ spl12_3
| spl12_7 ),
inference(forward_subsumption_resolution,[],[f7744,f229]) ).
fof(f7746,plain,
( ~ spl12_3
| spl12_7 ),
inference(avatar_contradiction_clause,[],[f7745]) ).
cnf(s2,plain,
( spl12_1
| spl12_3 ),
inference(sat_conversion,[],[f372]) ).
cnf(s6,plain,
~ spl12_7,
inference(sat_conversion,[],[f392]) ).
cnf(s61,plain,
( ~ spl12_1
| spl12_7 ),
inference(sat_conversion,[],[f2192]) ).
cnf(s369,plain,
( ~ spl12_3
| spl12_7 ),
inference(sat_conversion,[],[f7746]) ).
cnf(s370,plain,
~ spl12_3,
inference(rat,[],[s369,s6]) ).
cnf(s373,plain,
~ spl12_1,
inference(rat,[],[s61,s6]) ).
cnf(s378,plain,
$false,
inference(rat,[],[s2,s370,s373]) ).
fof(f7747,plain,
$false,
inference(avatar_sat_refutation,[],[s378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM487+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:04:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 1.12/0.62 % (2902334)Will run a generic schedule for satisfiability detection.
% 1.12/0.62 % (2902343)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=245114152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.12/0.62 % (2902340)% WARNING: option uhcvi not known.
% 1.12/0.62 % (2902339)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=935280662_2999 on theBenchmark for (2999ds/0Mi)
% 1.12/0.62 % (2902341)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=271607920:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.12/0.62 % (2902342)dis+10_1_sil=32000:sp=arity:random_seed=2918742541:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.12/0.62 % (2902344)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1097679002:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.12/0.62 % (2902345)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1143298673:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.12/0.62 % (2902340)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1923647351:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.12/0.62 % Detected minimum model sizes of [3]
% 1.12/0.62 % Detected maximum model sizes of [max]
% 1.12/0.62 % TRYING [3]
% 1.12/0.62 % TRYING [4]
% 1.12/0.62 % (2902343)Instruction limit reached!
% 1.12/0.62 % (2902343)------------------------------
% 1.12/0.62 % (2902343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.62 % (2902343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.62 % (2902343)CaDiCaL version: 2.1.3
% 1.12/0.62 % (2902343)Termination reason: Instruction limit
% 1.12/0.62 % (2902343)Termination phase: Saturation
% 1.12/0.62 % (2902343)Time elapsed: 0.035 s
% 1.12/0.62 % (2902343)Peak memory usage: 13 MB
% 1.12/0.62 % (2902343)Instructions burned: 117 (million)
% 1.12/0.62 % (2902353)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=737239908:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.12/0.62 % Detected minimum model sizes of [3]
% 1.12/0.62 % Detected maximum model sizes of [max]
% 1.12/0.62 % TRYING [3]
% 1.12/0.62 % TRYING [4]
% 1.12/0.62 % TRYING [5]
% 1.12/0.62 % (2902342)Instruction limit reached!
% 1.12/0.62 % (2902342)------------------------------
% 1.12/0.62 % (2902342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.62 % (2902342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.62 % (2902342)CaDiCaL version: 2.1.3
% 1.12/0.62 % (2902342)Termination reason: Instruction limit
% 1.12/0.62 % (2902342)Termination phase: Saturation
% 1.12/0.62 % (2902342)Time elapsed: 0.059 s
% 1.12/0.62 % (2902342)Peak memory usage: 12 MB
% 1.12/0.62 % (2902342)Instructions burned: 105 (million)
% 1.12/0.62 % TRYING [5]
% 1.12/0.62 % (2902344)Instruction limit reached!
% 1.12/0.62 % (2902344)------------------------------
% 1.12/0.62 % (2902344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.62 % (2902344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.62 % (2902344)CaDiCaL version: 2.1.3
% 1.12/0.62 % (2902344)Termination reason: Instruction limit
% 1.12/0.62 % (2902344)Termination phase: Saturation
% 1.12/0.62 % (2902344)Time elapsed: 0.072 s
% 1.12/0.62 % (2902344)Peak memory usage: 13 MB
% 1.12/0.62 % (2902344)Instructions burned: 131 (million)
% 1.12/0.62 % (2902355)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3909674172:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.12/0.62 % (2902356)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=2086842557:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.12/0.62 % (2902345)Instruction limit reached!
% 1.12/0.62 % (2902345)------------------------------
% 1.12/0.62 % (2902345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.62 % (2902345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.62 % (2902345)CaDiCaL version: 2.1.3
% 1.12/0.62 % (2902345)Termination reason: Instruction limit
% 1.12/0.62 % (2902345)Termination phase: Saturation
% 1.12/0.62 % (2902345)Time elapsed: 0.100 s
% 1.12/0.62 % (2902345)Peak memory usage: 14 MB
% 1.12/0.62 % (2902345)Instructions burned: 159 (million)
% 1.12/0.62 % TRYING [6]
% 1.12/0.62 % (2902359)ott-21_1_sil=16000:fs=off:random_seed=446885099:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.12/0.62 % TRYING [6]
% 1.12/0.62 % (2902355)Instruction limit reached!
% 1.12/0.62 % (2902355)------------------------------
% 1.12/0.62 % (2902355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.62 % (2902355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.62 % (2902355)CaDiCaL version: 2.1.3
% 1.12/0.62 % (2902355)Termination reason: Instruction limit
% 1.12/0.62 % (2902355)Termination phase: Saturation
% 1.12/0.62 % (2902355)Time elapsed: 0.064 s
% 1.12/0.62 % (2902355)Peak memory usage: 12 MB
% 1.12/0.62 % (2902355)Instructions burned: 132 (million)
% 1.12/0.62 % (2902361)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1160315971:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.12/0.62 % (2902353)Instruction limit reached!
% 1.12/0.62 % (2902353)------------------------------
% 1.12/0.62 % (2902353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.62 % (2902353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.62 % (2902353)CaDiCaL version: 2.1.3
% 1.12/0.62 % (2902353)Termination reason: Instruction limit
% 1.12/0.62 % (2902353)Termination phase: Finite model building constraint generation
% 1.12/0.62 % (2902353)Time elapsed: 0.137 s
% 1.12/0.62 % (2902353)Peak memory usage: 31 MB
% 1.12/0.62 % (2902353)Instructions burned: 715 (million)
% 1.12/0.62 % (2902340) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2902334-2902340"...
% 1.12/0.62 % (2902340)...printing done.
% 1.12/0.62 % (2902340)Refutation found. Thanks to Tanya!
% 1.12/0.62 % SZS status Theorem for theBenchmark
% 1.12/0.62 % SZS output start Proof for theBenchmark
% See solution above
% 1.12/0.62 % (2902340)------------------------------
% 1.12/0.62 % (2902340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.12/0.62 % (2902340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.12/0.62 % (2902340)CaDiCaL version: 2.1.3
% 1.12/0.62 % (2902340)Termination reason: Refutation
% 1.12/0.62 % (2902340)Time elapsed: 0.178 s
% 1.12/0.62 % (2902340)Peak memory usage: 16 MB
% 1.12/0.62 % (2902340)Instructions burned: 308 (million)
% 1.12/0.62 % (2902334)Success in time 0.218 s
% 1.12/0.62 % Vampire exiting
%------------------------------------------------------------------------------