%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM624+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 : n004.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 2.55s 1.30s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 23 unt; 0 def)
% Number of atoms : 206 ( 43 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 246 ( 100 ~; 96 |; 39 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 69 ( 63 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
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(f35,axiom,
! [X0,X1] :
( ( aElementOf0(X0,szNzAzT0)
& aElementOf0(X1,szNzAzT0) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
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(f100,axiom,
( aSubsetOf0(xQ,xO)
& xQ != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
fof(f101,axiom,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
fof(f103,axiom,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
fof(f105,axiom,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
fof(f114,axiom,
( aElementOf0(xx,szNzAzT0)
& aElementOf0(xx,xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5365) ).
fof(f116,axiom,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
fof(f119,axiom,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5481) ).
fof(f120,axiom,
( aSubsetOf0(xQ,szNzAzT0)
& aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
& xQ != slcrc0
& sdtlpdtrp0(xN,xm) != slcrc0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5518) ).
fof(f121,conjecture,
xp = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f122,negated_conjecture,
xp != xx,
inference(negated_conjecture,[status(cth)],[f121]) ).
fof(f123,plain,
xp != xx,
inference(flattening,[],[f122]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f195,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(f196,plain,
! [X0] :
( ! [X1] :
( X1 = szmzizndt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X1,X2)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(flattening,[],[f195]) ).
fof(f201,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f202,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(flattening,[],[f201]) ).
fof(f252,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,[],[f164]) ).
fof(f253,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,[],[f252]) ).
fof(f254,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,[],[f253]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK10(X0,X1),X0)
& aElementOf0(sK10(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f254]) ).
fof(f269,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,[],[f196]) ).
fof(f270,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,[],[f269]) ).
fof(f271,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,[],[f270]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzizndt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(X1,sK19(X0,X1))
& aElementOf0(sK19(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,[sK19]),skolemize(X2,sK19(X0,X1))],[f271]) ).
fof(f352,plain,
slcrc0 != xQ,
inference(cnf_transformation,[],[f100]) ).
fof(f354,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnf_transformation,[],[f101]) ).
fof(f356,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f103]) ).
fof(f359,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f105]) ).
fof(f371,plain,
aElementOf0(xx,szNzAzT0),
inference(cnf_transformation,[],[f114]) ).
fof(f374,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f116]) ).
fof(f377,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f119]) ).
fof(f378,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnf_transformation,[],[f119]) ).
fof(f379,plain,
slcrc0 != sdtlpdtrp0(xN,xm),
inference(cnf_transformation,[],[f120]) ).
fof(f381,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(cnf_transformation,[],[f120]) ).
fof(f383,plain,
xp != xx,
inference(cnf_transformation,[],[f123]) ).
fof(f386,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f391,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f439,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X1,X3)
| ~ aElementOf0(X3,X0)
| szmzizndt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f272]) ).
fof(f445,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f509,plain,
! [X3,X0] :
( sdtlseqdt0(szmzizndt0(X0),X3)
| ~ aElementOf0(X3,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f439]) ).
fof(f916,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ)
| ~ aSubsetOf0(xQ,szNzAzT0)
| slcrc0 = xQ ),
inference(superposition,[],[f509,f356]) ).
fof(f917,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0)
| slcrc0 = sdtlpdtrp0(xN,xm) ),
inference(superposition,[],[f509,f374]) ).
fof(f920,plain,
! [X0] :
( sdtlseqdt0(xx,X0)
| ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| slcrc0 = sdtlpdtrp0(xN,xm) ),
inference(forward_subsumption_resolution,[],[f917,f381]) ).
fof(f921,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ)
| slcrc0 = xQ ),
inference(forward_subsumption_resolution,[],[f916,f354]) ).
fof(f922,plain,
! [X0] :
( ~ aElementOf0(X0,sdtlpdtrp0(xN,xm))
| sdtlseqdt0(xx,X0) ),
inference(forward_subsumption_resolution,[],[f920,f379]) ).
fof(f923,plain,
! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) ),
inference(forward_subsumption_resolution,[],[f921,f352]) ).
fof(f1394,plain,
sdtlseqdt0(xx,xp),
inference(resolution,[],[f922,f378]) ).
fof(f1408,plain,
( ~ sdtlseqdt0(xp,xx)
| xp = xx
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(resolution,[],[f1394,f445]) ).
fof(f1409,plain,
( ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1408,f383]) ).
fof(f1410,plain,
( ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f1409,f371]) ).
fof(f1411,plain,
( ~ aElementOf0(xp,szNzAzT0)
| ~ aElementOf0(xx,xQ) ),
inference(resolution,[],[f1410,f923]) ).
fof(f1412,plain,
~ aElementOf0(xp,szNzAzT0),
inference(forward_subsumption_resolution,[],[f1411,f377]) ).
fof(f1413,plain,
! [X0] :
( ~ aElementOf0(xp,X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f1412,f391]) ).
fof(f1414,plain,
! [X0] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ aElementOf0(xp,X0) ),
inference(forward_subsumption_resolution,[],[f1413,f386]) ).
fof(f1437,plain,
~ aElementOf0(xp,xQ),
inference(resolution,[],[f1414,f354]) ).
fof(f1439,plain,
$false,
inference(forward_subsumption_resolution,[],[f1437,f359]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM624+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n004.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 20:49:45 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.55/1.30 % (3864226)Detected formulas, will run a generic FOF schedule.
% 2.55/1.30 % (3864233)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=2302607679:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.55/1.30 % (3864234)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3302976479:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.55/1.30 % (3864237)dis-21_1_sil=8000:lcm=predicate:random_seed=3864022601: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)
% 2.55/1.30 % (3864236)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3520792378:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.55/1.30 % (3864231)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=3154705860:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.55/1.30 % (3864232)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=3279717358:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.55/1.30 % (3864235)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=960972984:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.55/1.30 % (3864235)First to succeed.
% 2.55/1.30 % (3864235)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3864226"
% 2.55/1.30 % (3864234)Instruction limit reached!
% 2.55/1.30 % (3864234)------------------------------
% 2.55/1.30 % (3864234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.30 % (3864234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.30 % (3864234)CaDiCaL version: 2.1.3
% 2.55/1.30 % (3864234)Termination reason: Instruction limit
% 2.55/1.30 % (3864234)Termination phase: Saturation
% 2.55/1.30 % (3864234)Time elapsed: 0.068 s
% 2.55/1.30 % (3864234)Peak memory usage: 89 MB
% 2.55/1.30 % (3864234)Instructions burned: 110 (million)
% 2.55/1.30 % (3864236)Also succeeded, but the first one will report.
% 2.55/1.30 % (3864237)Instruction limit reached!
% 2.55/1.30 % (3864237)------------------------------
% 2.55/1.30 % (3864237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.30 % (3864237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.30 % (3864237)CaDiCaL version: 2.1.3
% 2.55/1.30 % (3864237)Termination reason: Instruction limit
% 2.55/1.30 % (3864237)Termination phase: Saturation
% 2.55/1.30 % (3864237)Time elapsed: 0.073 s
% 2.55/1.30 % (3864237)Peak memory usage: 92 MB
% 2.55/1.30 % (3864237)Instructions burned: 129 (million)
% 2.55/1.30 % (3864245)lrs+10_1_sil=8000:sp=occurrence:random_seed=2274825036:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.55/1.30 % (3864246)lrs+10_1_sil=32000:urr=on:br=off:random_seed=363748507:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.55/1.30 % (3864246)Refutation not found, incomplete strategy
% 2.55/1.30 % (3864246)------------------------------
% 2.55/1.30 % (3864246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.30 % (3864246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.30 % (3864246)CaDiCaL version: 2.1.3
% 2.55/1.30 % (3864246)Termination reason: Refutation not found, incomplete strategy
% 2.55/1.30 % (3864246)Time elapsed: 0.002 s
% 2.55/1.30 % (3864246)Peak memory usage: 88 MB
% 2.55/1.30 % (3864246)Instructions burned: 2 (million)
% 2.55/1.30 % (3864235)Refutation found. Thanks to Tanya!
% 2.55/1.30 % SZS status Theorem for theBenchmark
% 2.55/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.39 % (3864235)------------------------------
% 3.48/1.39 % (3864235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.39 % (3864235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.39 % (3864235)CaDiCaL version: 2.1.3
% 3.48/1.39 % (3864235)Termination reason: Refutation
% 3.48/1.39 % (3864235)Time elapsed: 0.029 s
% 3.48/1.39 % (3864235)Peak memory usage: 89 MB
% 3.48/1.39 % (3864235)Instructions burned: 42 (million)
% 3.48/1.39 % (3864235)------------------------------
% 3.48/1.39 % (3864235)------------------------------
% 3.48/1.39 % (3864226)Success in time 0.433 s
% 3.48/1.39 % Vampire exiting
%------------------------------------------------------------------------------