%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM604+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:15:57 PM UTC 2026
% Result : Theorem 3.76s 1.40s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 81 ( 18 unt; 3 def)
% Number of atoms : 267 ( 48 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 308 ( 122 ~; 119 |; 50 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 75 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f47,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
fof(f91,axiom,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
fof(f99,axiom,
( aElementOf0(xi,szNzAzT0)
& sdtlpdtrp0(xe,xi) = xx ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
fof(f100,axiom,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5045) ).
fof(f101,conjecture,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f102,negated_conjecture,
~ aElementOf0(xx,xS),
inference(negated_conjecture,[status(cth)],[f101]) ).
fof(f110,plain,
~ aElementOf0(xx,xS),
inference(flattening,[],[f102]) ).
fof(f112,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f115,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f116,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f47]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f170]) ).
fof(f214,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f230,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f240,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f112]) ).
fof(f241,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| aElementOf0(sK4(X0),X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4(X0))],[f242]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f117]) ).
fof(f245,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f244]) ).
fof(f246,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f245]) ).
fof(f247,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f246]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f171]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f265]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X1,X2)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(rectify,[],[f266]) ).
fof(f268,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK10(X0,X1))
& aElementOf0(sK10(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0) ) )
| szmzizndt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f267]) ).
fof(f305,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f243]) ).
fof(f309,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f310,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f311,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f349,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f378,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f268]) ).
fof(f450,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f467,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f468,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f485,plain,
! [X0] :
( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f502,plain,
xx = sdtlpdtrp0(xe,xi),
inference(cnf_transformation,[],[f99]) ).
fof(f503,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[],[f99]) ).
fof(f504,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
inference(cnf_transformation,[],[f100]) ).
fof(f505,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f110]) ).
fof(f506,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f305]) ).
fof(f508,plain,
( ~ aSet0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(equality_resolution,[],[f309]) ).
fof(f514,plain,
! [X0] :
( aElementOf0(szmzizndt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f378]) ).
fof(f545,definition,
( spl29_1
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f554,definition,
( spl29_3
<=> isCountable0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl29_3])],[avatar_definition]) ).
fof(f556,plain,
( ~ isCountable0(slcrc0)
| spl29_3 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f557,plain,
( ~ spl29_3
| ~ spl29_1 ),
inference(avatar_split_clause,[],[f508,f545,f554]) ).
fof(f558,plain,
spl29_1,
inference(avatar_split_clause,[],[f506,f545]) ).
fof(f602,definition,
( spl29_4
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[spl29_4])],[avatar_definition]) ).
fof(f603,plain,
( aSet0(xS)
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f604,plain,
( ~ aSet0(xS)
| spl29_4 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f611,plain,
( ! [X0] :
( ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0) )
| spl29_4 ),
inference(resolution,[],[f604,f311]) ).
fof(f628,plain,
( ~ aSet0(szNzAzT0)
| spl29_4 ),
inference(resolution,[],[f611,f450]) ).
fof(f633,plain,
( $false
| spl29_4 ),
inference(forward_subsumption_resolution,[],[f628,f349]) ).
fof(f634,plain,
spl29_4,
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f645,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[],[f514,f485]) ).
fof(f646,plain,
! [X0] :
( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
| slcrc0 = sdtlpdtrp0(xN,X0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f645,f468]) ).
fof(f648,plain,
! [X0] :
( ~ aElementOf0(xx,X0)
| ~ aSubsetOf0(X0,xS)
| ~ aSet0(xS) ),
inference(resolution,[],[f310,f505]) ).
fof(f653,plain,
( ! [X0] :
( ~ aSubsetOf0(X0,xS)
| ~ aElementOf0(xx,X0) )
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f648,f603]) ).
fof(f655,plain,
( ~ aElementOf0(xx,sdtlpdtrp0(xN,xi))
| ~ spl29_4 ),
inference(resolution,[],[f653,f504]) ).
fof(f3104,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xi))
| slcrc0 = sdtlpdtrp0(xN,xi)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[],[f646,f502]) ).
fof(f3249,plain,
( slcrc0 = sdtlpdtrp0(xN,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f3104,f655]) ).
fof(f3253,plain,
( slcrc0 = sdtlpdtrp0(xN,xi)
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f3249,f503]) ).
fof(f3560,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ spl29_4 ),
inference(superposition,[],[f467,f3253]) ).
fof(f3608,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f3560,f556]) ).
fof(f3622,plain,
( $false
| spl29_3
| ~ spl29_4 ),
inference(forward_subsumption_resolution,[],[f3608,f503]) ).
fof(f3623,plain,
( spl29_3
| ~ spl29_4 ),
inference(avatar_contradiction_clause,[],[f3622]) ).
cnf(s2,plain,
( ~ spl29_1
| ~ spl29_3 ),
inference(sat_conversion,[],[f557]) ).
cnf(s3,plain,
spl29_1,
inference(sat_conversion,[],[f558]) ).
cnf(s5,plain,
spl29_4,
inference(sat_conversion,[],[f634]) ).
cnf(s121,plain,
( spl29_3
| ~ spl29_4 ),
inference(sat_conversion,[],[f3623]) ).
cnf(s124,plain,
spl29_3,
inference(rat,[],[s121,s5]) ).
cnf(s132,plain,
$false,
inference(rat,[],[s2,s124,s3]) ).
fof(f3630,plain,
$false,
inference(avatar_sat_refutation,[],[s132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM604+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n011.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 20:43:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.76/1.40 % (2741007)Detected formulas, will run a generic FOF schedule.
% 3.76/1.40 % (2741018)dis-21_1_sil=8000:lcm=predicate:random_seed=522510777: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)
% 3.76/1.40 % (2741014)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=1550470171:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.76/1.40 % (2741013)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=3435091193:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.76/1.40 % (2741016)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2522111230:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.76/1.40 % (2741015)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3587449873:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.76/1.40 % (2741017)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1726938732:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.76/1.40 % (2741012)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=2381865659:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.76/1.40 % (2741018)Instruction limit reached!
% 3.76/1.40 % (2741018)------------------------------
% 3.76/1.40 % (2741018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.40 % (2741018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.40 % (2741018)CaDiCaL version: 2.1.3
% 3.76/1.40 % (2741018)Termination reason: Instruction limit
% 3.76/1.40 % (2741018)Termination phase: Saturation
% 3.76/1.40 % (2741018)Time elapsed: 0.041 s
% 3.76/1.40 % (2741018)Peak memory usage: 91 MB
% 3.76/1.40 % (2741018)Instructions burned: 131 (million)
% 3.76/1.40 % (2741015)Instruction limit reached!
% 3.76/1.40 % (2741015)------------------------------
% 3.76/1.40 % (2741015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.40 % (2741015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.40 % (2741015)CaDiCaL version: 2.1.3
% 3.76/1.40 % (2741015)Termination reason: Instruction limit
% 3.76/1.40 % (2741015)Termination phase: Saturation
% 3.76/1.40 % (2741015)Time elapsed: 0.065 s
% 3.76/1.40 % (2741015)Peak memory usage: 89 MB
% 3.76/1.40 % (2741015)Instructions burned: 109 (million)
% 3.76/1.40 % (2741016)Instruction limit reached!
% 3.76/1.40 % (2741016)------------------------------
% 3.76/1.40 % (2741016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.40 % (2741016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.40 % (2741016)CaDiCaL version: 2.1.3
% 3.76/1.40 % (2741016)Termination reason: Instruction limit
% 3.76/1.40 % (2741016)Termination phase: Saturation
% 3.76/1.40 % (2741016)Time elapsed: 0.071 s
% 3.76/1.40 % (2741016)Peak memory usage: 88 MB
% 3.76/1.40 % (2741016)Instructions burned: 119 (million)
% 3.76/1.40 % (2741017)First to succeed.
% 3.76/1.40 % (2741017)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2741007"
% 3.76/1.40 % (2741026)lrs+10_1_sil=8000:sp=occurrence:random_seed=648551739:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.76/1.40 % (2741027)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4215642282:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.76/1.40 % (2741027)Refutation not found, incomplete strategy
% 3.76/1.40 % (2741027)------------------------------
% 3.76/1.40 % (2741027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.40 % (2741027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.40 % (2741027)CaDiCaL version: 2.1.3
% 3.76/1.40 % (2741027)Termination reason: Refutation not found, incomplete strategy
% 3.76/1.40 % (2741027)Time elapsed: 0.003 s
% 3.76/1.40 % (2741027)Peak memory usage: 89 MB
% 3.76/1.40 % (2741027)Instructions burned: 2 (million)
% 3.76/1.40 % (2741026)Instruction limit reached!
% 3.76/1.40 % (2741026)------------------------------
% 3.76/1.40 % (2741026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.76/1.40 % (2741026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.76/1.40 % (2741026)CaDiCaL version: 2.1.3
% 3.76/1.40 % (2741026)Termination reason: Instruction limit
% 3.76/1.40 % (2741026)Termination phase: Saturation
% 3.76/1.40 % (2741026)Time elapsed: 0.097 s
% 3.76/1.40 % (2741026)Peak memory usage: 92 MB
% 3.76/1.40 % (2741026)Instructions burned: 287 (million)
% 3.76/1.40 % (2741028)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2480638892:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.76/1.40 % (2741017)Refutation found. Thanks to Tanya!
% 3.76/1.40 % SZS status Theorem for theBenchmark
% 3.76/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.60 % (2741017)------------------------------
% 0.17/1.60 % (2741017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.60 % (2741017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.60 % (2741017)CaDiCaL version: 2.1.3
% 0.17/1.60 % (2741017)Termination reason: Refutation
% 0.17/1.60 % (2741017)Time elapsed: 0.095 s
% 0.17/1.60 % (2741017)Peak memory usage: 91 MB
% 0.17/1.60 % (2741017)Instructions burned: 128 (million)
% 0.17/1.60 % (2741017)------------------------------
% 0.17/1.60 % (2741017)------------------------------
% 0.17/1.60 % (2741007)Success in time 0.53 s
% 0.17/1.60 % Vampire exiting
%------------------------------------------------------------------------------