%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM487+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 : n006.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 11.86s 2.26s
% Output : Refutation 11.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 101 ( 22 unt; 4 def)
% Number of atoms : 277 ( 68 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 318 ( 142 ~; 131 |; 24 &)
% ( 13 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 70 !; 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(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
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(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(f37,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( ( aNaturalNumber0(X1)
& doDivides0(X1,X0) )
=> ( X1 = sz10
| X1 = X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefPrime) ).
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(f43,axiom,
xr = sdtmndt0(xn,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1883) ).
fof(f44,conjecture,
( xr != xn
& sdtlseqdt0(xr,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f45,negated_conjecture,
~ ( xr != xn
& sdtlseqdt0(xr,xn) ),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f47,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f48,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f47]) ).
fof(f51,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f51]) ).
fof(f55,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f72,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f73,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f72]) ).
fof(f74,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(f75,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtmndt0(X1,X0)
<=> ( aNaturalNumber0(X2)
& sdtpldt0(X0,X2) = X1 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f74]) ).
fof(f109,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f110,plain,
! [X0] :
( ( isPrime0(X0)
<=> ( X0 != sz00
& X0 != sz10
& ! [X1] :
( X1 = sz10
| X1 = X0
| ~ aNaturalNumber0(X1)
| ~ doDivides0(X1,X0) ) ) )
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f109]) ).
fof(f115,plain,
( xn = xr
| ~ sdtlseqdt0(xr,xn) ),
inference(ennf_transformation,[],[f45]) ).
fof(f116,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f119,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f121,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f124,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f55]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| sdtmndt0(X1,X0) = X2 ),
inference(cnf_transformation,[],[f75]) ).
fof(f179,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 != X0
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f183,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f185,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f188,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f41]) ).
fof(f189,plain,
sdtlseqdt0(xp,xn),
inference(cnf_transformation,[],[f42]) ).
fof(f190,plain,
xr = sdtmndt0(xn,xp),
inference(cnf_transformation,[],[f43]) ).
fof(f191,plain,
( ~ sdtlseqdt0(xr,xn)
| xn = xr ),
inference(cnf_transformation,[],[f115]) ).
fof(f192,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,sdtpldt0(X0,X2)) ),
inference(equality_resolution,[],[f142]) ).
fof(f193,plain,
! [X2,X0] :
( ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(equality_resolution,[],[f145]) ).
fof(f194,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1) ),
inference(equality_resolution,[],[f144]) ).
fof(f195,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(equality_resolution,[],[f143]) ).
fof(f201,plain,
( ~ aNaturalNumber0(sz00)
| ~ isPrime0(sz00) ),
inference(equality_resolution,[],[f179]) ).
fof(f205,definition,
( spl4_1
<=> xn = xr ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f207,plain,
( xn = xr
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl4_2
<=> sdtlseqdt0(xr,xn) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f211,plain,
( ~ sdtlseqdt0(xr,xn)
| spl4_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f191,f209,f205]) ).
fof(f213,plain,
~ isPrime0(sz00),
inference(forward_subsumption_resolution,[],[f201,f116]) ).
fof(f222,plain,
xn = sdtpldt0(xn,sz00),
inference(resolution,[],[f124,f185]) ).
fof(f271,definition,
( spl4_4
<=> aNaturalNumber0(xr) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f272,plain,
( aNaturalNumber0(xr)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f273,plain,
( ~ aNaturalNumber0(xr)
| spl4_4 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f351,plain,
( aNaturalNumber0(xr)
| ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn) ),
inference(superposition,[],[f194,f190]) ).
fof(f352,plain,
( ~ aNaturalNumber0(xp)
| ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f351,f273]) ).
fof(f353,plain,
( ~ sdtlseqdt0(xp,xn)
| ~ aNaturalNumber0(xn)
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f352,f183]) ).
fof(f354,plain,
( ~ aNaturalNumber0(xn)
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f353,f189]) ).
fof(f355,plain,
( $false
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f354,f185]) ).
fof(f356,plain,
spl4_4,
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f360,plain,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtpldt0(xr,X0) = sdtpldt0(X0,xr) )
| ~ spl4_4 ),
inference(resolution,[],[f272,f121]) ).
fof(f444,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0) ),
inference(forward_subsumption_resolution,[],[f192,f119]) ).
fof(f571,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xn)
| xn = sdtpldt0(xp,sdtmndt0(xn,xp)) ),
inference(resolution,[],[f195,f189]) ).
fof(f578,plain,
( ~ aNaturalNumber0(xn)
| xn = sdtpldt0(xp,sdtmndt0(xn,xp)) ),
inference(forward_subsumption_resolution,[],[f571,f183]) ).
fof(f585,plain,
xn = sdtpldt0(xp,sdtmndt0(xn,xp)),
inference(forward_subsumption_resolution,[],[f578,f185]) ).
fof(f588,plain,
xn = sdtpldt0(xp,xr),
inference(forward_demodulation,[],[f585,f190]) ).
fof(f1073,definition,
( spl4_7
<=> sz00 = xp ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f1075,plain,
( sz00 = xp
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1453,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f193,f119]) ).
fof(f1454,plain,
! [X2,X0] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| sdtmndt0(sdtpldt0(X0,X2),X0) = X2 ),
inference(forward_subsumption_resolution,[],[f1453,f444]) ).
fof(f1466,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sz00 = sdtmndt0(sdtpldt0(X0,sz00),X0) ),
inference(resolution,[],[f1454,f116]) ).
fof(f1474,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| xp = sdtmndt0(sdtpldt0(X0,xp),X0) ),
inference(resolution,[],[f1454,f183]) ).
fof(f2431,plain,
( sdtpldt0(xp,xr) = sdtpldt0(xr,xp)
| ~ spl4_4 ),
inference(resolution,[],[f360,f183]) ).
fof(f2437,plain,
( xn = sdtpldt0(xr,xp)
| ~ spl4_4 ),
inference(forward_demodulation,[],[f2431,f588]) ).
fof(f2453,plain,
( sdtlseqdt0(xr,xn)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| ~ spl4_4 ),
inference(superposition,[],[f444,f2437]) ).
fof(f2454,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xr)
| spl4_2
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f2453,f211]) ).
fof(f2466,plain,
( ~ aNaturalNumber0(xr)
| spl4_2
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f2454,f183]) ).
fof(f2478,plain,
( $false
| spl4_2
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f2466,f272]) ).
fof(f2479,plain,
( spl4_2
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f2478]) ).
fof(f2510,plain,
( xn = sdtpldt0(xn,xp)
| ~ spl4_1
| ~ spl4_4 ),
inference(superposition,[],[f2437,f207]) ).
fof(f3067,plain,
xp = sdtmndt0(sdtpldt0(xn,xp),xn),
inference(resolution,[],[f1474,f185]) ).
fof(f3076,plain,
( xp = sdtmndt0(xn,xn)
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f3067,f2510]) ).
fof(f3353,plain,
( sz00 = sdtmndt0(sdtpldt0(xr,sz00),xr)
| ~ spl4_4 ),
inference(resolution,[],[f1466,f272]) ).
fof(f3358,plain,
( sz00 = sdtmndt0(sdtpldt0(xn,sz00),xn)
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f3353,f207]) ).
fof(f3364,plain,
( sz00 = sdtmndt0(xn,xn)
| ~ spl4_1
| ~ spl4_4 ),
inference(forward_demodulation,[],[f3358,f222]) ).
fof(f3365,plain,
( sz00 = xp
| ~ spl4_1
| ~ spl4_4 ),
inference(superposition,[],[f3364,f3076]) ).
fof(f3388,plain,
( spl4_7
| ~ spl4_1
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f3365,f271,f205,f1073]) ).
fof(f3413,plain,
( isPrime0(sz00)
| ~ spl4_7 ),
inference(superposition,[],[f188,f1075]) ).
fof(f3439,plain,
( $false
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f3413,f213]) ).
fof(f3440,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f3439]) ).
cnf(s1,plain,
( spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f212]) ).
cnf(s3,plain,
spl4_4,
inference(sat_conversion,[],[f356]) ).
cnf(s7,plain,
( spl4_2
| ~ spl4_4 ),
inference(sat_conversion,[],[f2479]) ).
cnf(s9,plain,
( ~ spl4_1
| ~ spl4_4
| spl4_7 ),
inference(sat_conversion,[],[f3388]) ).
cnf(s10,plain,
~ spl4_7,
inference(sat_conversion,[],[f3440]) ).
cnf(s11,plain,
( ~ spl4_1
| ~ spl4_4 ),
inference(rat,[],[s9,s10]) ).
cnf(s13,plain,
~ spl4_1,
inference(rat,[],[s11,s3]) ).
cnf(s14,plain,
spl4_2,
inference(rat,[],[s7,s3]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s14,s13]) ).
fof(f3441,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM487+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n006.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 20:09:26 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 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
% 11.86/2.26 % (3283489)Will run a generic schedule for satisfiability detection.
% 11.86/2.26 % (3283497)dis+10_1_sil=32000:sp=arity:random_seed=3583303532:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.86/2.26 % (3283495)% WARNING: option uhcvi not known.
% 11.86/2.26 % (3283496)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2355890945:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.86/2.26 % (3283494)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2493880471_2999 on theBenchmark for (2999ds/0Mi)
% 11.86/2.26 % (3283495)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1817415446:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.86/2.26 % (3283498)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1897193630:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.86/2.26 % (3283499)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=637355066:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.86/2.26 % (3283500)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2320918161:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.86/2.26 % TRYING [1]
% 11.86/2.26 % TRYING [2]
% 11.86/2.26 % TRYING [3]
% 11.86/2.26 % TRYING [4]
% 11.86/2.26 % (3283497)Instruction limit reached!
% 11.86/2.26 % (3283497)------------------------------
% 11.86/2.26 % (3283497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283497)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283497)Termination reason: Instruction limit
% 11.86/2.26 % (3283497)Termination phase: Saturation
% 11.86/2.26 % (3283497)Time elapsed: 0.055 s
% 11.86/2.26 % (3283497)Peak memory usage: 13 MB
% 11.86/2.26 % (3283497)Instructions burned: 104 (million)
% 11.86/2.26 % (3283508)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3745026051:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 11.86/2.26 % TRYING [1]
% 11.86/2.26 % TRYING [2]
% 11.86/2.26 % TRYING [3]
% 11.86/2.26 % TRYING [4]
% 11.86/2.26 % TRYING [5]
% 11.86/2.26 % TRYING [5]
% 11.86/2.26 % (3283498)Instruction limit reached!
% 11.86/2.26 % (3283498)------------------------------
% 11.86/2.26 % (3283498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283498)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283498)Termination reason: Instruction limit
% 11.86/2.26 % (3283498)Termination phase: Saturation
% 11.86/2.26 % (3283498)Time elapsed: 0.116 s
% 11.86/2.26 % (3283498)Peak memory usage: 13 MB
% 11.86/2.26 % (3283498)Instructions burned: 116 (million)
% 11.86/2.26 % (3283499)Instruction limit reached!
% 11.86/2.26 % (3283499)------------------------------
% 11.86/2.26 % (3283499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283499)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283499)Termination reason: Instruction limit
% 11.86/2.26 % (3283499)Termination phase: Saturation
% 11.86/2.26 % (3283499)Time elapsed: 0.123 s
% 11.86/2.26 % (3283499)Peak memory usage: 13 MB
% 11.86/2.26 % (3283499)Instructions burned: 131 (million)
% 11.86/2.26 % (3283510)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1348271:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.86/2.26 % (3283511)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=521144763:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.86/2.26 % (3283500)Instruction limit reached!
% 11.86/2.26 % (3283500)------------------------------
% 11.86/2.26 % (3283500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283500)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283500)Termination reason: Instruction limit
% 11.86/2.26 % (3283500)Termination phase: Saturation
% 11.86/2.26 % (3283500)Time elapsed: 0.172 s
% 11.86/2.26 % (3283500)Peak memory usage: 15 MB
% 11.86/2.26 % (3283500)Instructions burned: 159 (million)
% 11.86/2.26 % TRYING [6]
% 11.86/2.26 % (3283514)ott-21_1_sil=16000:fs=off:random_seed=3887561488:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 11.86/2.26 % TRYING [6]
% 11.86/2.26 % (3283510)Instruction limit reached!
% 11.86/2.26 % (3283510)------------------------------
% 11.86/2.26 % (3283510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283510)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283510)Termination reason: Instruction limit
% 11.86/2.26 % (3283510)Termination phase: Saturation
% 11.86/2.26 % (3283510)Time elapsed: 0.105 s
% 11.86/2.26 % (3283510)Peak memory usage: 12 MB
% 11.86/2.26 % (3283510)Instructions burned: 131 (million)
% 11.86/2.26 % (3283516)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=284428524:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.86/2.26 % (3283508)Instruction limit reached!
% 11.86/2.26 % (3283508)------------------------------
% 11.86/2.26 % (3283508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283508)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283508)Termination reason: Instruction limit
% 11.86/2.26 % (3283508)Termination phase: Finite model building constraint generation
% 11.86/2.26 % (3283508)Time elapsed: 0.275 s
% 11.86/2.26 % (3283508)Peak memory usage: 33 MB
% 11.86/2.26 % (3283508)Instructions burned: 714 (million)
% 11.86/2.26 % (3283514)Instruction limit reached!
% 11.86/2.26 % (3283514)------------------------------
% 11.86/2.26 % (3283514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283514)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283514)Termination reason: Instruction limit
% 11.86/2.26 % (3283514)Termination phase: Saturation
% 11.86/2.26 % (3283514)Time elapsed: 0.144 s
% 11.86/2.26 % (3283514)Peak memory usage: 13 MB
% 11.86/2.26 % (3283514)Instructions burned: 180 (million)
% 11.86/2.26 % (3283521)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1227803263:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 11.86/2.26 % TRYING [1]
% 11.86/2.26 % TRYING [2]
% 11.86/2.26 % TRYING [3]
% 11.86/2.26 % (3283523)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2088567384:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.86/2.26 % TRYING [4]
% 11.86/2.26 % TRYING [5]
% 11.86/2.26 % TRYING [7]
% 11.86/2.26 % (3283511)Instruction limit reached!
% 11.86/2.26 % (3283511)------------------------------
% 11.86/2.26 % (3283511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283511)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283511)Termination reason: Instruction limit
% 11.86/2.26 % (3283511)Termination phase: Saturation
% 11.86/2.26 % (3283511)Time elapsed: 0.486 s
% 11.86/2.26 % (3283511)Peak memory usage: 19 MB
% 11.86/2.26 % (3283511)Instructions burned: 684 (million)
% 11.86/2.26 % TRYING [6]
% 11.86/2.26 % (3283528)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=520817067:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 11.86/2.26 % (3283521)Instruction limit reached!
% 11.86/2.26 % (3283521)------------------------------
% 11.86/2.26 % (3283521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283521)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283521)Termination reason: Instruction limit
% 11.86/2.26 % (3283521)Termination phase: Finite model building constraint generation
% 11.86/2.26 % (3283521)Time elapsed: 0.320 s
% 11.86/2.26 % (3283521)Peak memory usage: 22 MB
% 11.86/2.26 % (3283521)Instructions burned: 868 (million)
% 11.86/2.26 % (3283531)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=1546797137:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2992 on theBenchmark for (2992ds/692Mi)
% 11.86/2.26 % (3283516)Instruction limit reached!
% 11.86/2.26 % (3283516)------------------------------
% 11.86/2.26 % (3283516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283516)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283516)Termination reason: Instruction limit
% 11.86/2.26 % (3283516)Termination phase: Saturation
% 11.86/2.26 % (3283516)Time elapsed: 0.474 s
% 11.86/2.26 % (3283516)Peak memory usage: 15 MB
% 11.86/2.26 % (3283516)Instructions burned: 478 (million)
% 11.86/2.26 % (3283534)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2983256232:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 11.86/2.26 % TRYING [14]
% 11.86/2.26 % TRYING [8]
% 11.86/2.26 % (3283531)Instruction limit reached!
% 11.86/2.26 % (3283531)------------------------------
% 11.86/2.26 % (3283531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283531)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283531)Termination reason: Instruction limit
% 11.86/2.26 % (3283531)Termination phase: Saturation
% 11.86/2.26 % (3283531)Time elapsed: 0.463 s
% 11.86/2.26 % (3283531)Peak memory usage: 20 MB
% 11.86/2.26 % (3283531)Instructions burned: 692 (million)
% 11.86/2.26 % (3283536)fmb+10_1_sil=64000:random_seed=1417236188:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 11.86/2.26 % TRYING [1]
% 11.86/2.26 % TRYING [2]
% 11.86/2.26 % TRYING [3]
% 11.86/2.26 % TRYING [4]
% 11.86/2.26 % TRYING [5]
% 11.86/2.26 % (3283528)Instruction limit reached!
% 11.86/2.26 % (3283528)------------------------------
% 11.86/2.26 % (3283528)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283528)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283528)Termination reason: Instruction limit
% 11.86/2.26 % (3283528)Termination phase: Finite model building constraint generation
% 11.86/2.26 % (3283528)Time elapsed: 0.706 s
% 11.86/2.26 % (3283528)Peak memory usage: 80 MB
% 11.86/2.26 % (3283528)Instructions burned: 889 (million)
% 11.86/2.26 % (3283540)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1060117103:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 11.86/2.26 % TRYING [20]
% 11.86/2.26 % (3283523)Instruction limit reached!
% 11.86/2.26 % (3283523)------------------------------
% 11.86/2.26 % (3283523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283523)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283523)Termination reason: Instruction limit
% 11.86/2.26 % (3283523)Termination phase: Saturation
% 11.86/2.26 % (3283523)Time elapsed: 1.093 s
% 11.86/2.26 % (3283523)Peak memory usage: 21 MB
% 11.86/2.26 % (3283523)Instructions burned: 1182 (million)
% 11.86/2.26 % (3283542)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2013386137:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 11.86/2.26 % TRYING [8]
% 11.86/2.26 % (3283534)Instruction limit reached!
% 11.86/2.26 % (3283534)------------------------------
% 11.86/2.26 % (3283534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283534)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283534)Termination reason: Instruction limit
% 11.86/2.26 % (3283534)Termination phase: Saturation
% 11.86/2.26 % (3283534)Time elapsed: 0.775 s
% 11.86/2.26 % (3283534)Peak memory usage: 20 MB
% 11.86/2.26 % (3283534)Instructions burned: 879 (million)
% 11.86/2.26 % TRYING [6]
% 11.86/2.26 % (3283544)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3237231755:i=5131_2984 on theBenchmark for (2984ds/5131Mi)
% 11.86/2.26 % (3283544) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3283489-3283544"...
% 11.86/2.26 % (3283544)...printing done.
% 11.86/2.26 % (3283544)Refutation found. Thanks to Tanya!
% 11.86/2.26 % SZS status Theorem for theBenchmark
% 11.86/2.26 % SZS output start Proof for theBenchmark
% See solution above
% 11.86/2.26 % (3283544)------------------------------
% 11.86/2.26 % (3283544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.86/2.26 % (3283544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.86/2.26 % (3283544)CaDiCaL version: 2.1.3
% 11.86/2.26 % (3283544)Termination reason: Refutation
% 11.86/2.26 % (3283544)Time elapsed: 0.115 s
% 11.86/2.26 % (3283544)Peak memory usage: 13 MB
% 11.86/2.26 % (3283544)Instructions burned: 123 (million)
% 11.86/2.26 % (3283489)Success in time 1.761 s
% 11.86/2.26 % Vampire exiting
%------------------------------------------------------------------------------