%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG072+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:35:23 PM UTC 2026
% Result : Theorem 2.56s 1.27s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 79 ( 34 unt; 2 def)
% Number of atoms : 174 ( 26 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 175 ( 80 ~; 63 |; 25 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 14 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(sz0z00,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEMonM) ).
fof(f42,axiom,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0) )
& xp = sziznziztdt0(xs) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1709) ).
fof(f43,axiom,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( aNaturalNumber0(X0)
=> sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0) )
& xq = sziznziztdt0(xt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1726) ).
fof(f46,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1783) ).
fof(f47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1800) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
fof(f61,axiom,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2610) ).
fof(f62,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2628) ).
fof(f63,conjecture,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f64,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(negated_conjecture,[status(cth)],[f63]) ).
fof(f65,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(flattening,[],[f64]) ).
fof(f73,plain,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X0] :
( sdtlbdtrb0(xp,X0) = sdtlbdtrb0(xs,X0)
| ~ aNaturalNumber0(X0) )
& xp = sziznziztdt0(xs) ),
inference(ennf_transformation,[],[f42]) ).
fof(f74,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X0] :
( sdtlbdtrb0(xq,X0) = sdtlbdtrb0(xt,X0)
| ~ aNaturalNumber0(X0) )
& xq = sziznziztdt0(xt) ),
inference(ennf_transformation,[],[f43]) ).
fof(f112,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f113,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f112]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(flattening,[],[f119]) ).
fof(f131,plain,
xp = sziznziztdt0(xs),
inference(cnf_transformation,[],[f73]) ).
fof(f135,plain,
xq = sziznziztdt0(xt),
inference(cnf_transformation,[],[f74]) ).
fof(f143,plain,
xC = sdtasasdt0(xp,xp),
inference(cnf_transformation,[],[f46]) ).
fof(f145,plain,
xD = sdtasasdt0(xq,xq),
inference(cnf_transformation,[],[f47]) ).
fof(f147,plain,
xE = sdtasasdt0(xp,xq),
inference(cnf_transformation,[],[f48]) ).
fof(f155,plain,
xR = sdtasdt0(xC,xG),
inference(cnf_transformation,[],[f52]) ).
fof(f156,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f157,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f158,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f159,plain,
xS = sdtasdt0(xF,xD),
inference(cnf_transformation,[],[f54]) ).
fof(f160,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f168,plain,
sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f61]) ).
fof(f170,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f62]) ).
fof(f171,plain,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f65]) ).
fof(f204,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ~ sdtlseqdt0(X2,X3)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3) ),
inference(cnf_transformation,[],[f120]) ).
fof(f224,plain,
aScalar0(sdtasdt0(xF,xD)),
inference(forward_demodulation,[],[f160,f159]) ).
fof(f225,plain,
aScalar0(sdtasdt0(xE,xH)),
inference(forward_demodulation,[],[f158,f157]) ).
fof(f226,plain,
aScalar0(sdtasdt0(xC,xG)),
inference(forward_demodulation,[],[f156,f155]) ).
fof(f238,plain,
aScalar0(sdtasdt0(xF,sdtasasdt0(xq,xq))),
inference(forward_demodulation,[],[f224,f145]) ).
fof(f239,plain,
aScalar0(sdtasdt0(sdtasasdt0(xp,xq),xH)),
inference(forward_demodulation,[],[f225,f147]) ).
fof(f240,plain,
aScalar0(sdtasdt0(sdtasasdt0(xp,xp),xG)),
inference(forward_demodulation,[],[f226,f143]) ).
fof(f246,plain,
aScalar0(sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))),
inference(forward_demodulation,[],[f238,f135]) ).
fof(f247,plain,
aScalar0(sdtasdt0(sdtasasdt0(xp,sziznziztdt0(xt)),xH)),
inference(forward_demodulation,[],[f239,f135]) ).
fof(f248,plain,
aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG)),
inference(forward_demodulation,[],[f240,f131]) ).
fof(f250,plain,
aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH)),
inference(forward_demodulation,[],[f247,f131]) ).
fof(f251,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(resolution,[],[f171,f209]) ).
fof(f253,plain,
( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(duplicate_literal_removal,[],[f251]) ).
fof(f254,plain,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f253,f168]) ).
fof(f255,plain,
( ~ aScalar0(sdtpldt0(xR,xS))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_subsumption_resolution,[],[f254,f170]) ).
fof(f256,plain,
( ~ aScalar0(sdtpldt0(xR,sdtasdt0(xF,xD)))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_demodulation,[],[f255,f159]) ).
fof(f257,plain,
( ~ aScalar0(sdtpldt0(xR,sdtasdt0(xF,sdtasasdt0(xq,xq))))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_demodulation,[],[f256,f145]) ).
fof(f258,plain,
( ~ aScalar0(sdtpldt0(xR,sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_demodulation,[],[f257,f135]) ).
fof(f259,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xC,xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_demodulation,[],[f258,f155]) ).
fof(f260,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(xp,xp),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_demodulation,[],[f259,f143]) ).
fof(f261,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
| ~ aScalar0(sdtpldt0(xP,xP)) ),
inference(forward_demodulation,[],[f260,f131]) ).
fof(f262,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(xE,xH),sdtasdt0(xE,xH)))
| ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))) ),
inference(forward_demodulation,[],[f261,f157]) ).
fof(f263,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(xp,xq),xH),sdtasdt0(sdtasasdt0(xp,xq),xH)))
| ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))) ),
inference(forward_demodulation,[],[f262,f147]) ).
fof(f264,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(xp,sziznziztdt0(xt)),xH),sdtasdt0(sdtasasdt0(xp,sziznziztdt0(xt)),xH)))
| ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))) ),
inference(forward_demodulation,[],[f263,f135]) ).
fof(f265,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH)))
| ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))) ),
inference(forward_demodulation,[],[f264,f131]) ).
fof(f267,definition,
( spl7_1
<=> aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f269,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG),sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)))))
| spl7_1 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f271,definition,
( spl7_2
<=> aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH))) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f273,plain,
( ~ aScalar0(sdtpldt0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH),sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH)))
| spl7_2 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f274,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f265,f271,f267]) ).
fof(f275,plain,
( ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),xG))
| ~ aScalar0(sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
| spl7_1 ),
inference(resolution,[],[f269,f204]) ).
fof(f280,plain,
( ~ aScalar0(sdtasdt0(xF,sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt))))
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f275,f248]) ).
fof(f283,plain,
( $false
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f280,f246]) ).
fof(f284,plain,
spl7_1,
inference(avatar_contradiction_clause,[],[f283]) ).
fof(f303,plain,
( ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH))
| ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH))
| spl7_2 ),
inference(resolution,[],[f273,f204]) ).
fof(f308,plain,
( ~ aScalar0(sdtasdt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xt)),xH))
| spl7_2 ),
inference(duplicate_literal_removal,[],[f303]) ).
fof(f311,plain,
( $false
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f308,f250]) ).
fof(f312,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f311]) ).
cnf(s1,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f274]) ).
cnf(s2,plain,
spl7_1,
inference(sat_conversion,[],[f284]) ).
cnf(s3,plain,
spl7_2,
inference(sat_conversion,[],[f312]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s3,s2]) ).
fof(f315,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG072+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:13:18 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.56/1.27 % (3099299)Detected formulas, will run a generic FOF schedule.
% 2.56/1.27 % (3099310)dis-21_1_sil=8000:lcm=predicate:random_seed=3318737717:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.56/1.27 % (3099308)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=367683999:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.56/1.27 % (3099305)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2301236174:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.56/1.27 % (3099307)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4157911051:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.56/1.27 % (3099304)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3129542738:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.56/1.27 % (3099306)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2662321376:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.56/1.27 % (3099309)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=532286554:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.56/1.27 % (3099310)Instruction limit reached!
% 2.56/1.27 % (3099310)------------------------------
% 2.56/1.27 % (3099310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.27 % (3099310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.27 % (3099310)CaDiCaL version: 2.1.3
% 2.56/1.27 % (3099310)Termination reason: Instruction limit
% 2.56/1.27 % (3099310)Termination phase: Saturation
% 2.56/1.27 % (3099310)Time elapsed: 0.042 s
% 2.56/1.27 % (3099310)Peak memory usage: 89 MB
% 2.56/1.27 % (3099310)Instructions burned: 136 (million)
% 2.56/1.27 % (3099307)First to succeed.
% 2.56/1.27 % (3099307)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3099299"
% 2.56/1.27 % (3099308)Also succeeded, but the first one will report.
% 2.56/1.27 % (3099309)Instruction limit reached!
% 2.56/1.27 % (3099309)------------------------------
% 2.56/1.27 % (3099309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.56/1.27 % (3099309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.56/1.27 % (3099309)CaDiCaL version: 2.1.3
% 2.56/1.27 % (3099309)Termination reason: Instruction limit
% 2.56/1.27 % (3099309)Termination phase: Saturation
% 2.56/1.27 % (3099309)Time elapsed: 0.093 s
% 2.56/1.27 % (3099309)Peak memory usage: 90 MB
% 2.56/1.27 % (3099309)Instructions burned: 140 (million)
% 2.56/1.27 % (3099318)lrs+10_1_sil=8000:sp=occurrence:random_seed=497830508:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.56/1.27 % (3099318)Also succeeded, but the first one will report.
% 2.56/1.27 % (3099320)lrs+10_1_sil=32000:urr=on:br=off:random_seed=956819750:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.56/1.27 % (3099307)Refutation found. Thanks to Tanya!
% 2.56/1.27 % SZS status Theorem for theBenchmark
% 2.56/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.47 % (3099307)------------------------------
% 3.50/1.47 % (3099307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.47 % (3099307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.47 % (3099307)CaDiCaL version: 2.1.3
% 3.50/1.47 % (3099307)Termination reason: Refutation
% 3.50/1.47 % (3099307)Time elapsed: 0.007 s
% 3.50/1.47 % (3099307)Peak memory usage: 89 MB
% 3.50/1.47 % (3099307)Instructions burned: 9 (million)
% 3.50/1.47 % (3099307)------------------------------
% 3.50/1.47 % (3099307)------------------------------
% 3.50/1.47 % (3099299)Success in time 0.417 s
% 3.50/1.47 % Vampire exiting
%------------------------------------------------------------------------------