%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM505+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 : 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 12:24:35 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 102 ( 25 unt; 5 def)
% Number of atoms : 268 ( 40 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 271 ( 105 ~; 123 |; 23 &)
% ( 11 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 68 ( 0 sgn 65 !; 3 ?)
% 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(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
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(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( ( X0 != sz00
& doDivides0(X0,X1) )
=> ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f39,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( isPrime0(xp)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f42,axiom,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).
fof(f45,axiom,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f50,conjecture,
( ~ sdtlseqdt0(xp,xk)
=> ( xk != xp
& sdtlseqdt0(xk,xp) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f51,negated_conjecture,
~ ( ~ sdtlseqdt0(xp,xk)
=> ( xk != xp
& sdtlseqdt0(xk,xp) ) ),
inference(negated_conjecture,[status(cth)],[f50]) ).
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(f55,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f56,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f55]) ).
fof(f61,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f78,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f79,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f78]) ).
fof(f87,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X0,X1)
| ( X1 != X0
& sdtlseqdt0(X1,X0) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f87]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f104,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtsldt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| sz00 = X0
| ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f103]) ).
fof(f122,plain,
( ( xp = xk
| ~ sdtlseqdt0(xk,xp) )
& ~ sdtlseqdt0(xp,xk) ),
inference(ennf_transformation,[],[f51]) ).
fof(f123,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f56]) ).
fof(f130,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f61]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f156,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f104]) ).
fof(f190,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f191,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f192,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f194,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f41]) ).
fof(f196,plain,
~ sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f202,plain,
xk = sdtsldt0(sdtasdt0(xn,xm),xp),
inference(cnf_transformation,[],[f45]) ).
fof(f212,plain,
( ~ sdtlseqdt0(xk,xp)
| xp = xk ),
inference(cnf_transformation,[],[f122]) ).
fof(f213,plain,
~ sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f122]) ).
fof(f214,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f149]) ).
fof(f221,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X0,X1)
| sz00 = X0
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(equality_resolution,[],[f173]) ).
fof(f225,plain,
~ aNaturalNumber0(sz00),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f227,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f228,plain,
! [X0,X1] :
( ~ aNaturalNumber0(sdtasdt0(X0,X1))
| aNaturalNumber0(X0)
| aNaturalNumber0(X1) ),
inference(consistent_polarity_flipping,[],[f127]) ).
fof(f232,plain,
! [X0] :
( aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f130]) ).
fof(f248,plain,
! [X2,X0] :
( aNaturalNumber0(sdtpldt0(X0,X2))
| aNaturalNumber0(X0)
| aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f214]) ).
fof(f258,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| aNaturalNumber0(X1)
| aNaturalNumber0(X0) ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f274,plain,
! [X0,X1] :
( ~ doDivides0(X0,X1)
| aNaturalNumber0(X0)
| aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f221]) ).
fof(f291,plain,
~ aNaturalNumber0(xn),
inference(consistent_polarity_flipping,[],[f192]) ).
fof(f292,plain,
~ aNaturalNumber0(xm),
inference(consistent_polarity_flipping,[],[f191]) ).
fof(f293,plain,
~ aNaturalNumber0(xp),
inference(consistent_polarity_flipping,[],[f190]) ).
fof(f298,definition,
( spl4_1
<=> xp = xk ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f300,plain,
( xp = xk
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f302,definition,
( spl4_2
<=> sdtlseqdt0(xk,xp) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f303,plain,
( sdtlseqdt0(xk,xp)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f304,plain,
( ~ sdtlseqdt0(xk,xp)
| spl4_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f212,f302,f298]) ).
fof(f320,definition,
( spl4_6
<=> aNaturalNumber0(sz00) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f321,plain,
( ~ aNaturalNumber0(sz00)
| spl4_6 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f325,plain,
~ spl4_6,
inference(avatar_split_clause,[],[f225,f320]) ).
fof(f334,plain,
xn = sdtpldt0(sz00,xn),
inference(resolution,[],[f232,f291]) ).
fof(f380,plain,
( sdtlseqdt0(xp,xk)
| aNaturalNumber0(xp)
| aNaturalNumber0(xk)
| spl4_2 ),
inference(resolution,[],[f258,f304]) ).
fof(f383,plain,
( aNaturalNumber0(xp)
| aNaturalNumber0(xk)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f380,f213]) ).
fof(f385,plain,
( aNaturalNumber0(xk)
| spl4_2 ),
inference(forward_subsumption_resolution,[],[f383,f293]) ).
fof(f434,definition,
( spl4_7
<=> aNaturalNumber0(xk) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f436,plain,
( aNaturalNumber0(xk)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f434]) ).
fof(f444,plain,
( spl4_7
| spl4_2 ),
inference(avatar_split_clause,[],[f385,f302,f434]) ).
fof(f477,definition,
( spl4_10
<=> aNaturalNumber0(sdtasdt0(xn,xm)) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f478,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| spl4_10 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f479,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f539,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| aNaturalNumber0(X2)
| aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f248,f227]) ).
fof(f556,plain,
( sdtlseqdt0(sz00,xn)
| aNaturalNumber0(xn)
| aNaturalNumber0(sz00) ),
inference(superposition,[],[f539,f334]) ).
fof(f559,plain,
( sdtlseqdt0(sz00,xn)
| aNaturalNumber0(sz00) ),
inference(forward_subsumption_resolution,[],[f556,f291]) ).
fof(f562,plain,
( sdtlseqdt0(sz00,xn)
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f559,f321]) ).
fof(f660,plain,
( aNaturalNumber0(xn)
| aNaturalNumber0(xm)
| ~ spl4_10 ),
inference(resolution,[],[f479,f228]) ).
fof(f661,plain,
( aNaturalNumber0(xm)
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f660,f291]) ).
fof(f662,plain,
( $false
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f661,f292]) ).
fof(f663,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f758,plain,
( aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(resolution,[],[f274,f194]) ).
fof(f766,plain,
( aNaturalNumber0(sdtasdt0(xn,xm))
| sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp)) ),
inference(forward_subsumption_resolution,[],[f758,f293]) ).
fof(f769,plain,
( sz00 = xp
| ~ aNaturalNumber0(sdtsldt0(sdtasdt0(xn,xm),xp))
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f766,f478]) ).
fof(f779,plain,
( ~ aNaturalNumber0(xk)
| sz00 = xp
| spl4_10 ),
inference(forward_demodulation,[],[f769,f202]) ).
fof(f780,plain,
( sz00 = xp
| ~ spl4_7
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f779,f436]) ).
fof(f783,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ spl4_7
| spl4_10 ),
inference(superposition,[],[f196,f780]) ).
fof(f798,plain,
( $false
| spl4_6
| ~ spl4_7
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f783,f562]) ).
fof(f799,plain,
( spl4_6
| ~ spl4_7
| spl4_10 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f845,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ spl4_1 ),
inference(superposition,[],[f213,f300]) ).
fof(f848,plain,
( sdtlseqdt0(xp,xp)
| ~ spl4_1
| ~ spl4_2 ),
inference(forward_demodulation,[],[f303,f300]) ).
fof(f958,plain,
( $false
| ~ spl4_1
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f845,f848]) ).
fof(f959,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_contradiction_clause,[],[f958]) ).
cnf(s1,plain,
( spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f305]) ).
cnf(s5,plain,
~ spl4_6,
inference(sat_conversion,[],[f325]) ).
cnf(s7,plain,
( spl4_2
| spl4_7 ),
inference(sat_conversion,[],[f444]) ).
cnf(s16,plain,
~ spl4_10,
inference(sat_conversion,[],[f663]) ).
cnf(s19,plain,
( spl4_6
| ~ spl4_7
| spl4_10 ),
inference(sat_conversion,[],[f799]) ).
cnf(s31,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f959]) ).
cnf(s36,plain,
~ spl4_7,
inference(rat,[],[s19,s16,s5]) ).
cnf(s42,plain,
spl4_2,
inference(rat,[],[s7,s36]) ).
cnf(s44,plain,
~ spl4_1,
inference(rat,[],[s31,s42]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s1,s42,s44]) ).
fof(f960,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM505+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 20:14:50 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.45 % (1280751)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (1280757)% WARNING: option uhcvi not known.
% 0.10/0.45 % (1280757)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3600910943:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.45 % (1280758)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2562443838:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (1280756)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3986331606_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.45 % (1280761)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3371403383:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.45 % (1280759)dis+10_1_sil=32000:sp=arity:random_seed=1369285547:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.45 % (1280760)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2847290944:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.45 % (1280762)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1575638637:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.45 % (1280757) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1280751-1280757"...
% 0.10/0.45 % (1280757)...printing done.
% 0.10/0.45 % Detected minimum model sizes of [3]
% 0.10/0.45 % Detected maximum model sizes of [max]
% 0.10/0.45 % TRYING [3]
% 0.10/0.45 % (1280757)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Theorem for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (1280757)------------------------------
% 0.10/0.46 % (1280757)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (1280757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (1280757)CaDiCaL version: 2.1.3
% 0.10/0.46 % (1280757)Termination reason: Refutation
% 0.10/0.46 % (1280757)Time elapsed: 0.009 s
% 0.10/0.46 % (1280757)Peak memory usage: 13 MB
% 0.10/0.46 % (1280757)Instructions burned: 23 (million)
% 0.10/0.46 % (1280751)Success in time 0.04 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------