%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM488+3 : 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 : n018.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 12:15:25 PM UTC 2026
% Result : Theorem 7.59s 3.06s
% Output : Refutation 16.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 21 unt; 3 def)
% Number of atoms : 284 ( 62 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 350 ( 145 ~; 130 |; 63 &)
% ( 5 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 81 ( 0 sgn 68 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
fof(f30,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiv) ).
fof(f34,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( doDivides0(X0,X1)
& doDivides0(X0,sdtpldt0(X1,X2)) )
=> doDivides0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivMin) ).
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(f45,conjecture,
( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(xr,xm)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f46,negated_conjecture,
~ ( ? [X0] :
( aNaturalNumber0(X0)
& sdtasdt0(xr,xm) = sdtasdt0(xp,X0) )
| doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(negated_conjecture,[status(cth)],[f45]) ).
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(f53,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f54,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f53]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f66]) ).
fof(f97,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f98,plain,
! [X0,X1] :
( ( doDivides0(X0,X1)
<=> ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f97]) ).
fof(f105,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f106,plain,
! [X0,X1,X2] :
( doDivides0(X0,X2)
| ~ doDivides0(X0,X1)
| ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f105]) ).
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,[],[f50]) ).
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,
( ! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xp,X0) != sdtasdt0(xr,xm) )
& ~ doDivides0(xp,sdtasdt0(xr,xm)) ),
inference(ennf_transformation,[],[f46]) ).
fof(f128,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X2] :
( aNaturalNumber0(X2)
& X1 = sdtasdt0(X0,X2) )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(nnf_transformation,[],[f98]) ).
fof(f129,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ? [X3] :
( aNaturalNumber0(X3)
& sdtasdt0(X0,X3) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(rectify,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ( ( doDivides0(X0,X1)
| ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1 ) )
& ( ( aNaturalNumber0(sK3(X0,X1))
& sdtasdt0(X0,sK3(X0,X1)) = X1 )
| ~ doDivides0(X0,X1) ) )
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1))],[f129]) ).
fof(f146,plain,
( xp != sz00
& xp != sz10
& ! [X0] :
( X0 = sz10
| X0 = xp
| ~ aNaturalNumber0(X0)
| ( ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != xp )
& ~ doDivides0(X0,xp) ) )
& isPrime0(xp)
& aNaturalNumber0(sK10)
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
& doDivides0(xp,sdtasdt0(xn,xm)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10)],[f118]) ).
fof(f153,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f198,plain,
! [X2,X0,X1] :
( doDivides0(X0,X1)
| ~ aNaturalNumber0(X2)
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ doDivides0(X0,sdtpldt0(X1,X2))
| ~ doDivides0(X0,X1)
| doDivides0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f217,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f218,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f236,plain,
doDivides0(xp,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f146]) ).
fof(f237,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,sK10),
inference(cnf_transformation,[],[f146]) ).
fof(f248,plain,
xn = sdtpldt0(xp,xr),
inference(cnf_transformation,[],[f43]) ).
fof(f249,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f43]) ).
fof(f254,plain,
~ doDivides0(xp,sdtasdt0(xr,xm)),
inference(cnf_transformation,[],[f119]) ).
fof(f262,plain,
! [X2,X0] :
( doDivides0(X0,sdtasdt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(X0,X2)) ),
inference(equality_resolution,[],[f198]) ).
fof(f268,definition,
sF13 = sdtasdt0(xr,xm),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f269,plain,
sdtasdt0(xr,xm) = sF13,
inference(reorient_equations,[],[f268]) ).
fof(f271,plain,
~ doDivides0(xp,sF13),
inference(definition_folding,[],[f254,f269]) ).
fof(f297,definition,
( spl14_5
<=> aNaturalNumber0(sF13) ),
introduced(definition,[new_symbols(definition,[spl14_5])],[avatar_definition]) ).
fof(f298,plain,
( aNaturalNumber0(sF13)
| ~ spl14_5 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f299,plain,
( ~ aNaturalNumber0(sF13)
| spl14_5 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f317,plain,
doDivides0(xp,sdtasdt0(xp,sK10)),
inference(superposition,[],[f236,f237]) ).
fof(f319,plain,
( aNaturalNumber0(sF13)
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[],[f153,f269]) ).
fof(f322,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(xm)
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f319,f299]) ).
fof(f325,plain,
( ~ aNaturalNumber0(xm)
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f322,f249]) ).
fof(f330,plain,
( $false
| spl14_5 ),
inference(forward_subsumption_resolution,[],[f325,f218]) ).
fof(f331,plain,
spl14_5,
inference(avatar_contradiction_clause,[],[f330]) ).
fof(f565,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(X1,xr),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(xr,X0)) ),
inference(resolution,[],[f164,f249]) ).
fof(f896,definition,
( spl14_19
<=> aNaturalNumber0(sdtasdt0(xp,xm)) ),
introduced(definition,[new_symbols(definition,[spl14_19])],[avatar_definition]) ).
fof(f897,plain,
( aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl14_19 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f898,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| spl14_19 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f909,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| spl14_19 ),
inference(resolution,[],[f898,f153]) ).
fof(f910,plain,
( ~ aNaturalNumber0(xm)
| spl14_19 ),
inference(forward_subsumption_resolution,[],[f909,f217]) ).
fof(f911,plain,
( $false
| spl14_19 ),
inference(forward_subsumption_resolution,[],[f910,f218]) ).
fof(f912,plain,
spl14_19,
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f1321,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtpldt0(xp,xr),X0) = sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xr,X0)) ),
inference(resolution,[],[f565,f217]) ).
fof(f1332,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xn,X0) = sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xr,X0)) ),
inference(forward_demodulation,[],[f1321,f248]) ).
fof(f1951,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)),
inference(resolution,[],[f1332,f218]) ).
fof(f1962,plain,
sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sF13),
inference(forward_demodulation,[],[f1951,f269]) ).
fof(f1968,plain,
sdtasdt0(xp,sK10) = sdtpldt0(sdtasdt0(xp,xm),sF13),
inference(forward_demodulation,[],[f1962,f237]) ).
fof(f2047,plain,
! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,sK10))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sF13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sF13) ),
inference(superposition,[],[f204,f1968]) ).
fof(f2054,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,sK10))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sF13)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sF13) )
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f2047,f897]) ).
fof(f2063,plain,
( ! [X0] :
( ~ doDivides0(X0,sdtasdt0(xp,sK10))
| ~ doDivides0(X0,sdtasdt0(xp,xm))
| doDivides0(X0,sF13)
| ~ aNaturalNumber0(X0) )
| ~ spl14_5
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f2054,f298]) ).
fof(f2082,plain,
( ~ doDivides0(xp,sdtasdt0(xp,xm))
| doDivides0(xp,sF13)
| ~ aNaturalNumber0(xp)
| ~ spl14_5
| ~ spl14_19 ),
inference(resolution,[],[f2063,f317]) ).
fof(f2088,plain,
( ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ spl14_5
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f2082,f271]) ).
fof(f2120,plain,
( ~ doDivides0(xp,sdtasdt0(xp,xm))
| ~ spl14_5
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f2088,f217]) ).
fof(f2122,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl14_5
| ~ spl14_19 ),
inference(resolution,[],[f2120,f262]) ).
fof(f2123,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl14_5
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f2122,f218]) ).
fof(f2124,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ spl14_5
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f2123,f217]) ).
fof(f2125,plain,
( $false
| ~ spl14_5
| ~ spl14_19 ),
inference(forward_subsumption_resolution,[],[f2124,f897]) ).
fof(f2126,plain,
( ~ spl14_5
| ~ spl14_19 ),
inference(avatar_contradiction_clause,[],[f2125]) ).
cnf(s9,plain,
spl14_5,
inference(sat_conversion,[],[f331]) ).
cnf(s17,plain,
spl14_19,
inference(sat_conversion,[],[f912]) ).
cnf(s69,plain,
( ~ spl14_5
| ~ spl14_19 ),
inference(sat_conversion,[],[f2126]) ).
cnf(s72,plain,
~ spl14_5,
inference(rat,[],[s69,s17]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s9,s72]) ).
fof(f2127,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM488+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n018.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.43 % DateTime : Sun Sep 27 20:11:24 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.48 Running first-order theorem proving
% 0.22/0.48 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
% 7.59/3.06 % (2692443)Detected formulas, will run a generic FOF schedule.
% 7.59/3.06 % (2692458)dis-21_1_sil=8000:lcm=predicate:random_seed=3154145544: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)
% 7.59/3.06 % (2692458)Instruction limit reached!
% 7.59/3.06 % (2692458)------------------------------
% 7.59/3.06 % (2692458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692458)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692458)Termination reason: Instruction limit
% 7.59/3.06 % (2692458)Termination phase: Saturation
% 7.59/3.06 % (2692458)Time elapsed: 0.066 s
% 7.59/3.06 % (2692458)Peak memory usage: 90 MB
% 7.59/3.06 % (2692458)Instructions burned: 130 (million)
% 7.59/3.06 % (2692455)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=52150661:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.59/3.06 % (2692456)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1819800449:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.59/3.06 % (2692452)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=677461569:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.59/3.06 % (2692457)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3773657446:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.59/3.06 % (2692453)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=2110334925:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.59/3.06 % (2692454)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=419501360:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.59/3.06 % (2692455)Instruction limit reached!
% 7.59/3.06 % (2692455)------------------------------
% 7.59/3.06 % (2692455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692455)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692455)Termination reason: Instruction limit
% 7.59/3.06 % (2692455)Termination phase: Saturation
% 7.59/3.06 % (2692455)Time elapsed: 0.098 s
% 7.59/3.06 % (2692455)Peak memory usage: 89 MB
% 7.59/3.06 % (2692455)Instructions burned: 109 (million)
% 7.59/3.06 % (2692456)Instruction limit reached!
% 7.59/3.06 % (2692456)------------------------------
% 7.59/3.06 % (2692456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692456)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692456)Termination reason: Instruction limit
% 7.59/3.06 % (2692456)Termination phase: Saturation
% 7.59/3.06 % (2692456)Time elapsed: 0.113 s
% 7.59/3.06 % (2692456)Peak memory usage: 89 MB
% 7.59/3.06 % (2692456)Instructions burned: 120 (million)
% 7.59/3.06 % (2692460)lrs+10_1_sil=8000:sp=occurrence:random_seed=2912748324:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.59/3.06 % (2692457)Instruction limit reached!
% 7.59/3.06 % (2692457)------------------------------
% 7.59/3.06 % (2692457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692457)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692457)Termination reason: Instruction limit
% 7.59/3.06 % (2692457)Termination phase: Saturation
% 7.59/3.06 % (2692457)Time elapsed: 0.150 s
% 7.59/3.06 % (2692457)Peak memory usage: 90 MB
% 7.59/3.06 % (2692457)Instructions burned: 139 (million)
% 7.59/3.06 % (2692460)Instruction limit reached!
% 7.59/3.06 % (2692460)------------------------------
% 7.59/3.06 % (2692460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692460)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692460)Termination reason: Instruction limit
% 7.59/3.06 % (2692460)Termination phase: Saturation
% 7.59/3.06 % (2692460)Time elapsed: 0.135 s
% 7.59/3.06 % (2692460)Peak memory usage: 90 MB
% 7.59/3.06 % (2692460)Instructions burned: 285 (million)
% 7.59/3.06 % (2692469)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4145986916:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.59/3.06 % (2692471)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3271971154:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.59/3.06 % (2692472)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1858079768:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.59/3.06 % (2692473)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2246153267:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.59/3.06 % (2692469)Instruction limit reached!
% 7.59/3.06 % (2692469)------------------------------
% 7.59/3.06 % (2692469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692469)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692469)Termination reason: Instruction limit
% 7.59/3.06 % (2692469)Termination phase: Saturation
% 7.59/3.06 % (2692469)Time elapsed: 0.134 s
% 7.59/3.06 % (2692469)Peak memory usage: 91 MB
% 7.59/3.06 % (2692469)Instructions burned: 158 (million)
% 7.59/3.06 % (2692473)Instruction limit reached!
% 7.59/3.06 % (2692473)------------------------------
% 7.59/3.06 % (2692473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692473)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692473)Termination reason: Instruction limit
% 7.59/3.06 % (2692473)Termination phase: Saturation
% 7.59/3.06 % (2692473)Time elapsed: 0.138 s
% 7.59/3.06 % (2692473)Peak memory usage: 89 MB
% 7.59/3.06 % (2692473)Instructions burned: 296 (million)
% 7.59/3.06 % (2692472)Instruction limit reached!
% 7.59/3.06 % (2692472)------------------------------
% 7.59/3.06 % (2692472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692472)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692472)Termination reason: Instruction limit
% 7.59/3.06 % (2692472)Termination phase: Saturation
% 7.59/3.06 % (2692472)Time elapsed: 0.207 s
% 7.59/3.06 % (2692472)Peak memory usage: 94 MB
% 7.59/3.06 % (2692472)Instructions burned: 248 (million)
% 7.59/3.06 % (2692471)Instruction limit reached!
% 7.59/3.06 % (2692471)------------------------------
% 7.59/3.06 % (2692471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692471)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692471)Termination reason: Instruction limit
% 7.59/3.06 % (2692471)Termination phase: Saturation
% 7.59/3.06 % (2692471)Time elapsed: 0.321 s
% 7.59/3.06 % (2692471)Peak memory usage: 92 MB
% 7.59/3.06 % (2692471)Instructions burned: 325 (million)
% 7.59/3.06 % (2692480)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=854301224:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.59/3.06 % (2692481)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=932665714:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 7.59/3.06 % (2692481)Instruction limit reached!
% 7.59/3.06 % (2692481)------------------------------
% 7.59/3.06 % (2692481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692481)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692481)Termination reason: Instruction limit
% 7.59/3.06 % (2692481)Termination phase: Saturation
% 7.59/3.06 % (2692481)Time elapsed: 0.059 s
% 7.59/3.06 % (2692481)Peak memory usage: 90 MB
% 7.59/3.06 % (2692481)Instructions burned: 113 (million)
% 7.59/3.06 % (2692482)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3693661922:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.59/3.06 % (2692483)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=40926192:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.59/3.06 % (2692486)lrs+10_1_sil=8000:sp=occurrence:random_seed=736081576:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.59/3.06 % (2692482)Instruction limit reached!
% 7.59/3.06 % (2692482)------------------------------
% 7.59/3.06 % (2692482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692482)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692482)Termination reason: Instruction limit
% 7.59/3.06 % (2692482)Termination phase: Saturation
% 7.59/3.06 % (2692482)Time elapsed: 0.113 s
% 7.59/3.06 % (2692482)Peak memory usage: 89 MB
% 7.59/3.06 % (2692482)Instructions burned: 128 (million)
% 7.59/3.06 % (2692483)Instruction limit reached!
% 7.59/3.06 % (2692483)------------------------------
% 7.59/3.06 % (2692483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692483)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692483)Termination reason: Instruction limit
% 7.59/3.06 % (2692483)Termination phase: Saturation
% 7.59/3.06 % (2692483)Time elapsed: 0.111 s
% 7.59/3.06 % (2692483)Peak memory usage: 89 MB
% 7.59/3.06 % (2692483)Instructions burned: 115 (million)
% 7.59/3.06 % (2692490)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2076781038:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 7.59/3.06 % (2692491)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3062971158:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 7.59/3.06 % (2692486)Instruction limit reached!
% 7.59/3.06 % (2692486)------------------------------
% 7.59/3.06 % (2692486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692486)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692486)Termination reason: Instruction limit
% 7.59/3.06 % (2692486)Termination phase: Saturation
% 7.59/3.06 % (2692486)Time elapsed: 0.436 s
% 7.59/3.06 % (2692486)Peak memory usage: 97 MB
% 7.59/3.06 % (2692486)Instructions burned: 908 (million)
% 7.59/3.06 % (2692494)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1067372393:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 7.59/3.06 % (2692494)Instruction limit reached!
% 7.59/3.06 % (2692494)------------------------------
% 7.59/3.06 % (2692494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692494)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692494)Termination reason: Instruction limit
% 7.59/3.06 % (2692494)Termination phase: Saturation
% 7.59/3.06 % (2692494)Time elapsed: 0.056 s
% 7.59/3.06 % (2692494)Peak memory usage: 91 MB
% 7.59/3.06 % (2692494)Instructions burned: 136 (million)
% 7.59/3.06 % (2692490)Instruction limit reached!
% 7.59/3.06 % (2692490)------------------------------
% 7.59/3.06 % (2692490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.59/3.06 % (2692490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.59/3.06 % (2692490)CaDiCaL version: 2.1.3
% 7.59/3.06 % (2692490)Termination reason: Instruction limit
% 7.59/3.06 % (2692490)Termination phase: Saturation
% 7.59/3.06 % (2692490)Time elapsed: 0.433 s
% 7.59/3.06 % (2692490)Peak memory usage: 92 MB
% 7.59/3.06 % (2692490)Instructions burned: 438 (million)
% 7.59/3.06 % (2692496)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2405178555:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 7.59/3.06 % (2692498)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1368396647:st=3:i=13193:sd=3:ss=axioms_2982 on theBenchmark for (2982ds/13193Mi)
% 7.59/3.06 % (2692480)First to succeed.
% 7.59/3.06 % (2692480)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2692443"
% 7.59/3.06 % (2692453)Also succeeded, but the first one will report.
% 7.59/3.06 % (2692480)Refutation found. Thanks to Tanya!
% 7.59/3.06 % SZS status Theorem for theBenchmark
% 7.59/3.06 % SZS output start Proof for theBenchmark
% See solution above
% 16.58/3.24 % (2692480)------------------------------
% 16.58/3.24 % (2692480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/3.24 % (2692480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/3.24 % (2692480)CaDiCaL version: 2.1.3
% 16.58/3.24 % (2692480)Termination reason: Refutation
% 16.58/3.24 % (2692480)Time elapsed: 1.125 s
% 16.58/3.24 % (2692480)Peak memory usage: 132 MB
% 16.58/3.24 % (2692480)Instructions burned: 1226 (million)
% 16.58/3.24 % (2692480)------------------------------
% 16.58/3.24 % (2692480)------------------------------
% 16.58/3.24 % (2692443)Success in time 2.269 s
% 16.58/3.24 % Vampire exiting
%------------------------------------------------------------------------------