%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM597+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:24:57 PM UTC 2026
% Result : Theorem 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 49 ( 14 unt; 1 def)
% Number of atoms : 192 ( 37 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 211 ( 68 ~; 56 |; 72 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 56 ( 0 sgn 42 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f92,axiom,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( aSet0(X1)
& ( ( ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& sbrdtbr0(X1) = xk )
| aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
=> sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4730) ).
fof(f93,axiom,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X0,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4758) ).
fof(f94,axiom,
~ ( ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) )
=> ~ ? [X0] : aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4868) ).
fof(f95,conjecture,
aElementOf0(szDzizrdt0(xd),xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f96,negated_conjecture,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f113,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd)))
=> aElementOf0(X2,xT) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(rectify,[],[f93]) ).
fof(f114,plain,
~ ( ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) )
=> ~ ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(rectify,[],[f94]) ).
fof(f115,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(flattening,[],[f96]) ).
fof(f239,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(ennf_transformation,[],[f92]) ).
fof(f240,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ? [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(X2,X1) )
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(flattening,[],[f239]) ).
fof(f241,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
<=> ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 ) )
& ! [X2] :
( aElementOf0(X2,xT)
| ~ aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(ennf_transformation,[],[f113]) ).
fof(f242,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) ),
inference(ennf_transformation,[],[f114]) ).
fof(f243,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) ) ),
inference(flattening,[],[f242]) ).
fof(f412,plain,
( aFunction0(xd)
& szDzozmdt0(xd) = szNzAzT0
& ! [X0] :
( ! [X1] :
( sdtlpdtrp0(xd,X0) = sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1)
| ~ aSet0(X1)
| ( ( ( ~ aElementOf0(sK67(X0,X1),sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aElementOf0(sK67(X0,X1),X1)
& ~ aSubsetOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
| sbrdtbr0(X1) != xk )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),xk)) ) )
| ~ aElementOf0(X0,szNzAzT0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(X2,sK67(X0,X1))],[f240]) ).
fof(f413,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ? [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X2] :
( aElementOf0(X2,xT)
| ~ aElementOf0(X2,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(nnf_transformation,[],[f241]) ).
fof(f414,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ? [X2] :
( aElementOf0(X2,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X2) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(rectify,[],[f413]) ).
fof(f415,plain,
( aSet0(sdtlcdtrc0(xd,szDzozmdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ! [X1] :
( ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ) )
& ( ( aElementOf0(sK68(X0),szDzozmdt0(xd))
& sdtlpdtrp0(xd,sK68(X0)) = X0 )
| ~ aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd))) ) )
& ! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) )
& aSubsetOf0(sdtlcdtrc0(xd,szDzozmdt0(xd)),xT) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(X2,sK68(X0))],[f414]) ).
fof(f416,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
& ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(nnf_transformation,[],[f243]) ).
fof(f417,plain,
( ? [X1] : aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X0] :
( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X0,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
& ( ( aElementOf0(X0,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
| ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(flattening,[],[f416]) ).
fof(f418,plain,
( ? [X0] : aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
& ( ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(rectify,[],[f417]) ).
fof(f419,plain,
( aElementOf0(sK69,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [X1] :
( ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != szDzizrdt0(xd) )
& ( ( aElementOf0(X1,szDzozmdt0(xd))
& sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) )
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(X0,sK69)],[f418]) ).
fof(f778,plain,
szNzAzT0 = szDzozmdt0(xd),
inference(cnf_transformation,[],[f412]) ).
fof(f781,plain,
! [X3] :
( aElementOf0(X3,xT)
| ~ aElementOf0(X3,sdtlcdtrc0(xd,szDzozmdt0(xd))) ),
inference(cnf_transformation,[],[f415]) ).
fof(f784,plain,
! [X0,X1] :
( aElementOf0(X0,sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd))
| sdtlpdtrp0(xd,X1) != X0 ),
inference(cnf_transformation,[],[f415]) ).
fof(f786,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| sdtlpdtrp0(xd,X1) = szDzizrdt0(xd) ),
inference(cnf_transformation,[],[f419]) ).
fof(f787,plain,
! [X1] :
( aElementOf0(X1,szDzozmdt0(xd))
| ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd))) ),
inference(cnf_transformation,[],[f419]) ).
fof(f790,plain,
aElementOf0(sK69,sdtlbdtrb0(xd,szDzizrdt0(xd))),
inference(cnf_transformation,[],[f419]) ).
fof(f791,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f115]) ).
fof(f844,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szDzozmdt0(xd)))
| ~ aElementOf0(X1,szDzozmdt0(xd)) ),
inference(equality_resolution,[],[f784]) ).
fof(f1131,plain,
! [X3] :
( ~ aElementOf0(X3,sdtlcdtrc0(xd,szNzAzT0))
| aElementOf0(X3,xT) ),
inference(forward_demodulation,[],[f781,f778]) ).
fof(f1152,plain,
! [X1] :
( ~ aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| aElementOf0(X1,szNzAzT0) ),
inference(forward_demodulation,[],[f787,f778]) ).
fof(f1172,plain,
aElementOf0(sK69,szNzAzT0),
inference(resolution,[],[f1152,f790]) ).
fof(f1256,plain,
szDzizrdt0(xd) = sdtlpdtrp0(xd,sK69),
inference(resolution,[],[f786,f790]) ).
fof(f1626,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szDzozmdt0(xd)) ),
inference(forward_demodulation,[],[f844,f778]) ).
fof(f2011,definition,
( spl70_90
<=> aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0)) ),
introduced(definition,[new_symbols(definition,[spl70_90])],[avatar_definition]) ).
fof(f2012,plain,
( ~ aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| spl70_90 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2013,plain,
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ spl70_90 ),
inference(avatar_component_clause,[],[f2011]) ).
fof(f2018,plain,
( aElementOf0(szDzizrdt0(xd),xT)
| ~ spl70_90 ),
inference(resolution,[],[f2013,f1131]) ).
fof(f2019,plain,
( $false
| ~ spl70_90 ),
inference(forward_subsumption_resolution,[],[f2018,f791]) ).
fof(f2020,plain,
~ spl70_90,
inference(avatar_contradiction_clause,[],[f2019]) ).
fof(f2021,plain,
! [X1] :
( aElementOf0(sdtlpdtrp0(xd,X1),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(X1,szNzAzT0) ),
inference(forward_demodulation,[],[f1626,f778]) ).
fof(f2027,plain,
( aElementOf0(szDzizrdt0(xd),sdtlcdtrc0(xd,szNzAzT0))
| ~ aElementOf0(sK69,szNzAzT0) ),
inference(superposition,[],[f2021,f1256]) ).
fof(f2028,plain,
( ~ aElementOf0(sK69,szNzAzT0)
| spl70_90 ),
inference(forward_subsumption_resolution,[],[f2027,f2012]) ).
fof(f2029,plain,
( $false
| spl70_90 ),
inference(forward_subsumption_resolution,[],[f2028,f1172]) ).
fof(f2030,plain,
spl70_90,
inference(avatar_contradiction_clause,[],[f2029]) ).
cnf(s1204,plain,
~ spl70_90,
inference(sat_conversion,[],[f2020]) ).
cnf(s1213,plain,
spl70_90,
inference(sat_conversion,[],[f2030]) ).
cnf(s1214,plain,
$false,
inference(rat,[],[s1204,s1213]) ).
fof(f2031,plain,
$false,
inference(avatar_sat_refutation,[],[s1214]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM597+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.36 % Computer : n016.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 20:45:48 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.47 % (2972707)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (2972714)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3801440809:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (2972713)% WARNING: option uhcvi not known.
% 0.15/0.47 % (2972713)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3691492059:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (2972712)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3731620766_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (2972715)dis+10_1_sil=32000:sp=arity:random_seed=2305363011:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (2972716)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3390846714:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (2972718)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3763358436:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (2972717)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2247336990:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (2972714) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2972707-2972714"...
% 0.15/0.47 % (2972714)...printing done.
% 0.15/0.47 % (2972714)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (2972714)------------------------------
% 0.15/0.47 % (2972714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (2972714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (2972714)CaDiCaL version: 2.1.3
% 0.15/0.47 % (2972714)Termination reason: Refutation
% 0.15/0.47 % (2972714)Time elapsed: 0.026 s
% 0.15/0.47 % (2972714)Peak memory usage: 14 MB
% 0.15/0.47 % (2972714)Instructions burned: 66 (million)
% 0.15/0.47 % (2972707)Success in time 0.061 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------