%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM622+1 : 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 : n010.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 12:16:02 PM UTC 2026
% Result : Theorem 4.03s 1.58s
% Output : Refutation 5.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 23 unt; 1 def)
% Number of atoms : 221 ( 50 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 251 ( 96 ~; 89 |; 51 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 80 ( 0 sgn 70 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f9,axiom,
! [X0] :
( ( aSet0(X0)
& isCountable0(X0) )
=> X0 != slcrc0 ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
fof(f82,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',m__4660) ).
fof(f111,axiom,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
fof(f115,axiom,
( aElementOf0(xm,szNzAzT0)
& xx = sdtlpdtrp0(xe,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
fof(f118,axiom,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5461) ).
fof(f119,conjecture,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f120,negated_conjecture,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(negated_conjecture,[status(cth)],[f119]) ).
fof(f128,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(flattening,[],[f120]) ).
fof(f130,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f133,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f134,plain,
! [X0] :
( X0 != slcrc0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f188,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(f189,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f188]) ).
fof(f232,plain,
! [X0] :
( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f248,plain,
( aFunction0(xe)
& szDzozmdt0(xe) = szNzAzT0
& ! [X0] :
( sdtlpdtrp0(xe,X0) = szmzizndt0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f258,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f259,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f258]) ).
fof(f260,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f259]) ).
fof(f261,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))],[f260]) ).
fof(f262,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,[],[f135]) ).
fof(f263,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,[],[f262]) ).
fof(f264,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,[],[f263]) ).
fof(f265,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))],[f264]) ).
fof(f283,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,[],[f189]) ).
fof(f284,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,[],[f283]) ).
fof(f285,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,[],[f284]) ).
fof(f286,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))],[f285]) ).
fof(f323,plain,
! [X0] :
( slcrc0 != X0
| aSet0(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f327,plain,
! [X0] :
( slcrc0 != X0
| ~ aSet0(X0)
| ~ isCountable0(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f328,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f329,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f367,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f396,plain,
! [X0,X1] :
( szmzizndt0(X0) != X1
| aElementOf0(X1,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f286]) ).
fof(f485,plain,
! [X0] :
( isCountable0(sdtlpdtrp0(xN,X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f486,plain,
! [X0] :
( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f503,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) ),
inference(cnf_transformation,[],[f248]) ).
fof(f534,plain,
xp = sdtlpdtrp0(xe,xn),
inference(cnf_transformation,[],[f111]) ).
fof(f535,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[],[f111]) ).
fof(f542,plain,
aElementOf0(xm,szNzAzT0),
inference(cnf_transformation,[],[f115]) ).
fof(f545,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f118]) ).
fof(f546,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f128]) ).
fof(f547,plain,
isCountable0(sdtlpdtrp0(xN,xn)),
inference(unit_resulting_resolution,[],[f485,f535]) ).
fof(f549,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(unit_resulting_resolution,[],[f486,f535]) ).
fof(f550,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(unit_resulting_resolution,[],[f486,f542]) ).
fof(f568,plain,
aSet0(sdtlpdtrp0(xN,xm)),
inference(unit_resulting_resolution,[],[f329,f367,f550]) ).
fof(f588,plain,
sdtlpdtrp0(xe,xn) = szmzizndt0(sdtlpdtrp0(xN,xn)),
inference(unit_resulting_resolution,[],[f503,f535]) ).
fof(f830,plain,
~ aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(unit_resulting_resolution,[],[f328,f545,f546,f568]) ).
fof(f973,plain,
! [X0] :
( slcrc0 != X0
| ~ isCountable0(X0) ),
inference(forward_subsumption_resolution,[],[f327,f323]) ).
fof(f975,plain,
slcrc0 != sdtlpdtrp0(xN,xn),
inference(unit_resulting_resolution,[],[f973,f547]) ).
fof(f1016,definition,
( spl29_13
<=> slcrc0 = sdtlpdtrp0(xN,xn) ),
introduced(definition,[new_symbols(definition,[spl29_13])],[avatar_definition]) ).
fof(f1017,plain,
( slcrc0 != sdtlpdtrp0(xN,xn)
| spl29_13 ),
inference(avatar_component_clause,[],[f1016]) ).
fof(f3807,plain,
~ spl29_13,
inference(avatar_split_clause,[],[f975,f1016]) ).
fof(f3849,plain,
( xp != szmzizndt0(sdtlpdtrp0(xN,xn))
| spl29_13 ),
inference(unit_resulting_resolution,[],[f396,f830,f549,f1017]) ).
fof(f3946,plain,
( xp != sdtlpdtrp0(xe,xn)
| spl29_13 ),
inference(superposition,[],[f3849,f588]) ).
fof(f3947,plain,
( $false
| spl29_13 ),
inference(forward_subsumption_resolution,[],[f3946,f534]) ).
fof(f3948,plain,
spl29_13,
inference(avatar_contradiction_clause,[],[f3947]) ).
cnf(s88,plain,
~ spl29_13,
inference(sat_conversion,[],[f3807]) ).
cnf(s92,plain,
spl29_13,
inference(sat_conversion,[],[f3948]) ).
cnf(s94,plain,
$false,
inference(rat,[],[s88,s92]) ).
fof(f3949,plain,
$false,
inference(avatar_sat_refutation,[],[s94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM622+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 20:47:38 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 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
% 4.03/1.58 % (1296081)Detected formulas, will run a generic FOF schedule.
% 4.03/1.58 % (1296088)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=3813021574:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.03/1.58 % (1296091)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1558459808:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.03/1.58 % (1296090)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=133993749:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.03/1.58 % (1296092)dis-21_1_sil=8000:lcm=predicate:random_seed=2226168983: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)
% 4.03/1.58 % (1296089)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2073270235:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.03/1.58 % (1296086)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=1404595891:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.03/1.58 % (1296087)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=3744864635:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.03/1.58 % (1296089)Instruction limit reached!
% 4.03/1.58 % (1296089)------------------------------
% 4.03/1.58 % (1296089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.58 % (1296089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.58 % (1296089)CaDiCaL version: 2.1.3
% 4.03/1.58 % (1296089)Termination reason: Instruction limit
% 4.03/1.58 % (1296089)Termination phase: Saturation
% 4.03/1.58 % (1296089)Time elapsed: 0.068 s
% 4.03/1.58 % (1296089)Peak memory usage: 90 MB
% 4.03/1.58 % (1296089)Instructions burned: 109 (million)
% 4.03/1.58 % (1296090)Instruction limit reached!
% 4.03/1.58 % (1296090)------------------------------
% 4.03/1.58 % (1296090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.58 % (1296090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.58 % (1296090)CaDiCaL version: 2.1.3
% 4.03/1.58 % (1296090)Termination reason: Instruction limit
% 4.03/1.58 % (1296090)Termination phase: Saturation
% 4.03/1.58 % (1296090)Time elapsed: 0.073 s
% 4.03/1.58 % (1296090)Peak memory usage: 89 MB
% 4.03/1.58 % (1296090)Instructions burned: 120 (million)
% 4.03/1.58 % (1296092)Instruction limit reached!
% 4.03/1.58 % (1296092)------------------------------
% 4.03/1.58 % (1296092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.58 % (1296092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.58 % (1296092)CaDiCaL version: 2.1.3
% 4.03/1.58 % (1296092)Termination reason: Instruction limit
% 4.03/1.58 % (1296092)Termination phase: Saturation
% 4.03/1.58 % (1296092)Time elapsed: 0.074 s
% 4.03/1.58 % (1296092)Peak memory usage: 91 MB
% 4.03/1.58 % (1296092)Instructions burned: 130 (million)
% 4.03/1.58 % (1296091)Instruction limit reached!
% 4.03/1.58 % (1296091)------------------------------
% 4.03/1.58 % (1296091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.58 % (1296091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.58 % (1296091)CaDiCaL version: 2.1.3
% 4.03/1.58 % (1296091)Termination reason: Instruction limit
% 4.03/1.58 % (1296091)Termination phase: Saturation
% 4.03/1.58 % (1296091)Time elapsed: 0.108 s
% 4.03/1.58 % (1296091)Peak memory usage: 90 MB
% 4.03/1.58 % (1296091)Instructions burned: 139 (million)
% 4.03/1.58 % (1296100)lrs+10_1_sil=8000:sp=occurrence:random_seed=1283949254:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.03/1.58 % (1296101)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2248837535:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.03/1.58 % (1296102)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3345792559:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.03/1.58 % (1296101)Refutation not found, incomplete strategy
% 4.03/1.58 % (1296101)------------------------------
% 4.03/1.58 % (1296101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.58 % (1296101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.58 % (1296101)CaDiCaL version: 2.1.3
% 4.03/1.58 % (1296101)Termination reason: Refutation not found, incomplete strategy
% 4.03/1.58 % (1296101)Time elapsed: 0.002 s
% 4.03/1.58 % (1296101)Peak memory usage: 88 MB
% 4.03/1.58 % (1296101)Instructions burned: 2 (million)
% 4.03/1.58 % (1296103)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=2643297661:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.03/1.58 % (1296103)First to succeed.
% 4.03/1.58 % (1296103)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1296081"
% 4.03/1.58 % (1296102)Also succeeded, but the first one will report.
% 4.03/1.58 % (1296100)Instruction limit reached!
% 4.03/1.58 % (1296100)------------------------------
% 4.03/1.58 % (1296100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.03/1.58 % (1296100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.03/1.58 % (1296100)CaDiCaL version: 2.1.3
% 4.03/1.58 % (1296100)Termination reason: Instruction limit
% 4.03/1.58 % (1296100)Termination phase: Saturation
% 4.03/1.58 % (1296100)Time elapsed: 0.184 s
% 4.03/1.58 % (1296100)Peak memory usage: 92 MB
% 4.03/1.58 % (1296100)Instructions burned: 286 (million)
% 4.03/1.58 % (1296101)------------------------------
% 4.03/1.58 % (1296101)------------------------------
% 4.03/1.58 % (1296108)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2755172826:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.03/1.58 % (1296109)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=887390150:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.03/1.58 % (1296103)Refutation found. Thanks to Tanya!
% 4.03/1.58 % SZS status Theorem for theBenchmark
% 4.03/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.76/1.77 % (1296103)------------------------------
% 5.76/1.77 % (1296103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.76/1.77 % (1296103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.76/1.77 % (1296103)CaDiCaL version: 2.1.3
% 5.76/1.77 % (1296103)Termination reason: Refutation
% 5.76/1.77 % (1296103)Time elapsed: 0.111 s
% 5.76/1.77 % (1296103)Peak memory usage: 92 MB
% 5.76/1.77 % (1296103)Instructions burned: 181 (million)
% 5.76/1.77 % (1296103)------------------------------
% 5.76/1.77 % (1296103)------------------------------
% 5.76/1.77 % (1296081)Success in time 0.741 s
% 5.76/1.77 % Vampire exiting
%------------------------------------------------------------------------------