%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM584+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 : n012.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 12:15:51 PM UTC 2026
% Result : Theorem 0.77s 0.86s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 19 unt; 0 def)
% Number of atoms : 234 ( 38 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 304 ( 127 ~; 116 |; 49 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-3 aty)
% Number of variables : 82 ( 76 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f57,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aElementOf0(X1,szNzAzT0) )
=> ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f87,axiom,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) = xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4007) ).
fof(f88,axiom,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4024) ).
fof(f89,conjecture,
aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f90,negated_conjecture,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(negated_conjecture,[status(cth)],[f89]) ).
fof(f91,plain,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(flattening,[],[f90]) ).
fof(f116,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f129,plain,
! [X0,X1] :
( ! [X2] :
( X2 = slbdtsldtrb0(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 ) ) ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f128]) ).
fof(f196,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(f197,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,[],[f196]) ).
fof(f198,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,[],[f197]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK6(X0,X1),X0)
& aElementOf0(sK6(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f198]) ).
fof(f201,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f202,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1 )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| ~ aElementOf0(X3,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f201]) ).
fof(f203,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ~ aSubsetOf0(X3,X0)
| sbrdtbr0(X3) != X1
| ~ aElementOf0(X3,X2) )
& ( ( aSubsetOf0(X3,X0)
& sbrdtbr0(X3) = X1 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(rectify,[],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = slbdtsldtrb0(X0,X1)
| ~ aSet0(X2)
| ( ( ~ aSubsetOf0(sK8(X0,X1,X2),X0)
| sbrdtbr0(sK8(X0,X1,X2)) != X1
| ~ aElementOf0(sK8(X0,X1,X2),X2) )
& ( ( aSubsetOf0(sK8(X0,X1,X2),X0)
& sbrdtbr0(sK8(X0,X1,X2)) = X1 )
| aElementOf0(sK8(X0,X1,X2),X2) ) ) )
& ( ( aSet0(X2)
& ! [X4] :
( ( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1 )
& ( ( aSubsetOf0(X4,X0)
& sbrdtbr0(X4) = X1 )
| ~ aElementOf0(X4,X2) ) ) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f203]) ).
fof(f237,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f239,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f241,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f262,plain,
xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(cnf_transformation,[],[f87]) ).
fof(f263,plain,
aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),xS),
inference(cnf_transformation,[],[f88]) ).
fof(f264,plain,
~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),slbdtsldtrb0(xS,xK)),
inference(cnf_transformation,[],[f91]) ).
fof(f267,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f271,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f272,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f273,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f285,plain,
! [X2,X0,X1,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| sbrdtbr0(X4) != X1
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f286,plain,
! [X2,X0,X1] :
( aSet0(X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f372,plain,
! [X0,X1] :
( aSet0(slbdtsldtrb0(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(equality_resolution,[],[f286]) ).
fof(f373,plain,
! [X2,X0,X4] :
( aElementOf0(X4,X2)
| ~ aSubsetOf0(X4,X0)
| slbdtsldtrb0(X0,sbrdtbr0(X4)) != X2
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f285]) ).
fof(f374,plain,
! [X0,X4] :
( aElementOf0(X4,slbdtsldtrb0(X0,sbrdtbr0(X4)))
| ~ aSubsetOf0(X4,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(X4),szNzAzT0) ),
inference(equality_resolution,[],[f373]) ).
fof(f403,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f273,f239]) ).
fof(f408,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[],[f403,f267]) ).
fof(f457,plain,
( aSet0(szDzozmdt0(xc))
| ~ aSet0(xS)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(superposition,[],[f372,f241]) ).
fof(f458,plain,
( aSet0(szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f457,f408]) ).
fof(f459,plain,
aSet0(szDzozmdt0(xc)),
inference(forward_subsumption_resolution,[],[f458,f237]) ).
fof(f479,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ aSubsetOf0(X0,slbdtsldtrb0(xS,xK))
| ~ aSet0(slbdtsldtrb0(xS,xK)) ),
inference(resolution,[],[f272,f264]) ).
fof(f492,plain,
! [X0] :
( ~ aSubsetOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ aSet0(slbdtsldtrb0(xS,xK)) ),
inference(forward_demodulation,[],[f479,f241]) ).
fof(f493,plain,
! [X0] :
( ~ aSet0(szDzozmdt0(xc))
| ~ aSubsetOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0) ),
inference(forward_demodulation,[],[f492,f241]) ).
fof(f494,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ aSubsetOf0(X0,szDzozmdt0(xc)) ),
inference(forward_subsumption_resolution,[],[f493,f459]) ).
fof(f838,plain,
! [X0] :
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ aSet0(X0)
| ~ aElementOf0(sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),szNzAzT0)
| ~ aSubsetOf0(slbdtsldtrb0(X0,sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),szDzozmdt0(xc)) ),
inference(resolution,[],[f374,f494]) ).
fof(f875,plain,
! [X0] :
( ~ aElementOf0(xK,szNzAzT0)
| ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(slbdtsldtrb0(X0,sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),szDzozmdt0(xc)) ),
inference(forward_demodulation,[],[f838,f262]) ).
fof(f893,plain,
! [X0] :
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ aSet0(X0)
| ~ aSubsetOf0(slbdtsldtrb0(X0,sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))),szDzozmdt0(xc)) ),
inference(forward_subsumption_resolution,[],[f875,f237]) ).
fof(f909,plain,
! [X0] :
( ~ aSubsetOf0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))),X0)
| ~ aSubsetOf0(slbdtsldtrb0(X0,xK),szDzozmdt0(xc))
| ~ aSet0(X0) ),
inference(forward_demodulation,[],[f893,f262]) ).
fof(f910,plain,
( ~ aSubsetOf0(slbdtsldtrb0(xS,xK),szDzozmdt0(xc))
| ~ aSet0(xS) ),
inference(resolution,[],[f909,f263]) ).
fof(f917,plain,
~ aSubsetOf0(slbdtsldtrb0(xS,xK),szDzozmdt0(xc)),
inference(forward_subsumption_resolution,[],[f910,f408]) ).
fof(f918,plain,
~ aSubsetOf0(szDzozmdt0(xc),szDzozmdt0(xc)),
inference(forward_demodulation,[],[f917,f241]) ).
fof(f929,plain,
~ aSet0(szDzozmdt0(xc)),
inference(resolution,[],[f918,f271]) ).
fof(f932,plain,
$false,
inference(forward_subsumption_resolution,[],[f929,f459]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : NUM584+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sun Sep 27 20:36:04 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.33 Running first-order theorem proving
% 0.08/0.33 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
% 0.77/0.86 % (2714637)Detected formulas, will run a generic FOF schedule.
% 0.77/0.86 % (2714648)dis-21_1_sil=8000:lcm=predicate:random_seed=4201195146: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)
% 0.77/0.86 % (2714644)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=277175117:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.77/0.86 % (2714645)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3017068630:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.77/0.86 % (2714643)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=2493166279:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.77/0.86 % (2714647)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3068259777:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.77/0.86 % (2714646)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=555314683:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.77/0.86 % (2714642)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=2141142510:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.77/0.86 % (2714646)First to succeed.
% 0.77/0.86 % (2714646)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2714637"
% 0.77/0.86 % (2714648)Instruction limit reached!
% 0.77/0.86 % (2714648)------------------------------
% 0.77/0.86 % (2714648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/0.86 % (2714648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.86 % (2714648)CaDiCaL version: 2.1.3
% 0.77/0.86 % (2714648)Termination reason: Instruction limit
% 0.77/0.86 % (2714648)Termination phase: Saturation
% 0.77/0.86 % (2714648)Time elapsed: 0.034 s
% 0.77/0.86 % (2714648)Peak memory usage: 88 MB
% 0.77/0.86 % (2714648)Instructions burned: 133 (million)
% 0.77/0.86 % (2714645)Instruction limit reached!
% 0.77/0.86 % (2714645)------------------------------
% 0.77/0.86 % (2714645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/0.86 % (2714645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.86 % (2714645)CaDiCaL version: 2.1.3
% 0.77/0.86 % (2714645)Termination reason: Instruction limit
% 0.77/0.86 % (2714645)Termination phase: Saturation
% 0.77/0.86 % (2714645)Time elapsed: 0.037 s
% 0.77/0.86 % (2714645)Peak memory usage: 89 MB
% 0.77/0.86 % (2714645)Instructions burned: 109 (million)
% 0.77/0.86 % (2714647)Instruction limit reached!
% 0.77/0.86 % (2714647)------------------------------
% 0.77/0.86 % (2714647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/0.86 % (2714647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.86 % (2714647)CaDiCaL version: 2.1.3
% 0.77/0.86 % (2714647)Termination reason: Instruction limit
% 0.77/0.86 % (2714647)Termination phase: Saturation
% 0.77/0.86 % (2714647)Time elapsed: 0.053 s
% 0.77/0.86 % (2714647)Peak memory usage: 90 MB
% 0.77/0.86 % (2714647)Instructions burned: 139 (million)
% 0.77/0.86 % (2714656)lrs+10_1_sil=8000:sp=occurrence:random_seed=3235867751:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.77/0.86 % (2714657)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2932335641:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.77/0.86 % (2714657)Refutation not found, incomplete strategy
% 0.77/0.86 % (2714657)------------------------------
% 0.77/0.86 % (2714657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.77/0.86 % (2714657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.77/0.86 % (2714657)CaDiCaL version: 2.1.3
% 0.77/0.86 % (2714657)Termination reason: Refutation not found, incomplete strategy
% 0.77/0.86 % (2714657)Time elapsed: 0.004 s
% 0.77/0.86 % (2714657)Peak memory usage: 88 MB
% 0.77/0.86 % (2714657)Instructions burned: 9 (million)
% 0.77/0.86 % (2714658)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1206859128:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 0.77/0.86 % (2714646)Refutation found. Thanks to Tanya!
% 0.77/0.86 % SZS status Theorem for theBenchmark
% 0.77/0.86 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.96 % (2714646)------------------------------
% 2.52/0.96 % (2714646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.96 % (2714646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.96 % (2714646)CaDiCaL version: 2.1.3
% 2.52/0.96 % (2714646)Termination reason: Refutation
% 2.52/0.96 % (2714646)Time elapsed: 0.026 s
% 2.52/0.96 % (2714646)Peak memory usage: 88 MB
% 2.52/0.96 % (2714646)Instructions burned: 103 (million)
% 2.52/0.96 % (2714646)------------------------------
% 2.52/0.96 % (2714646)------------------------------
% 2.52/0.96 % (2714637)Success in time 0.328 s
% 2.52/0.96 % Vampire exiting
%------------------------------------------------------------------------------