%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM545+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:24:45 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 79 ( 16 unt; 3 def)
% Number of atoms : 266 ( 46 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 318 ( 131 ~; 124 |; 47 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 71 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ~ ? [X1] : aElementOf0(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
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(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f48,axiom,
! [X0] :
( ( aSubsetOf0(X0,szNzAzT0)
& isFinite0(X0)
& X0 != slcrc0 )
=> ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(f52,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSegZero) ).
fof(f55,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isFinite0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
fof(f56,axiom,
( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).
fof(f57,conjecture,
? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,szNzAzT0)
& aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f67,plain,
! [X0] :
( X0 = slcrc0
<=> ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f95,plain,
! [X0] :
( ( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
& szszuzczcdt0(X0) != sz00 )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(ennf_transformation,[],[f48]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(flattening,[],[f126]) ).
fof(f136,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(ennf_transformation,[],[f56]) ).
fof(f137,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(ennf_transformation,[],[f58]) ).
fof(f144,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f145,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X1] : ~ aElementOf0(X1,X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( X0 = slcrc0
| ~ aSet0(X0)
| ? [X1] : aElementOf0(X1,X0) )
& ( ( aSet0(X0)
& ! [X2] : ~ aElementOf0(X2,X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f145]) ).
fof(f147,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))],[f146]) ).
fof(f148,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,[],[f72]) ).
fof(f149,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,[],[f148]) ).
fof(f150,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,[],[f149]) ).
fof(f151,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))],[f150]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(nnf_transformation,[],[f127]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(flattening,[],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(rectify,[],[f174]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ( X1 = szmzazxdt0(X0)
| ~ aElementOf0(X1,X0)
| ( ~ sdtlseqdt0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) ) )
& ( ( aElementOf0(X1,X0)
& ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) ) )
| szmzazxdt0(X0) != X1 ) )
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f175]) ).
fof(f185,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f186,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f191,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f193,plain,
! [X0,X1] :
( aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f230,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f231,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f233,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f262,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f176]) ).
fof(f274,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f280,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f281,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f282,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(cnf_transformation,[],[f136]) ).
fof(f283,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f284,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f186]) ).
fof(f285,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f185]) ).
fof(f294,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0 ),
inference(equality_resolution,[],[f262]) ).
fof(f303,definition,
( spl13_1
<=> slcrc0 = xS ),
introduced(definition,[new_symbols(definition,[spl13_1])],[avatar_definition]) ).
fof(f305,plain,
( slcrc0 = xS
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f307,definition,
( spl13_2
<=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
introduced(definition,[new_symbols(definition,[spl13_2])],[avatar_definition]) ).
fof(f309,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f310,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f282,f307,f303]) ).
fof(f312,definition,
( spl13_3
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[spl13_3])],[avatar_definition]) ).
fof(f313,plain,
( aSet0(slcrc0)
| ~ spl13_3 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f325,plain,
spl13_3,
inference(avatar_split_clause,[],[f284,f312]) ).
fof(f326,plain,
( ~ aSubsetOf0(xS,slcrc0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[],[f283,f274]) ).
fof(f327,plain,
~ aSubsetOf0(xS,slcrc0),
inference(forward_subsumption_resolution,[],[f326,f231]) ).
fof(f330,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ spl13_2 ),
inference(resolution,[],[f309,f283]) ).
fof(f355,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl13_2 ),
inference(resolution,[],[f233,f330]) ).
fof(f540,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f191,f281]) ).
fof(f549,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(forward_subsumption_resolution,[],[f540,f230]) ).
fof(f585,plain,
! [X0] :
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(resolution,[],[f193,f285]) ).
fof(f605,plain,
( ! [X0] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) )
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f585,f313]) ).
fof(f673,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| slcrc0 = xS ),
inference(resolution,[],[f549,f294]) ).
fof(f676,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| slcrc0 = xS
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f673,f355]) ).
fof(f679,plain,
( ~ isFinite0(xS)
| slcrc0 = xS
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f676,f281]) ).
fof(f690,plain,
( slcrc0 = xS
| ~ spl13_2 ),
inference(forward_subsumption_resolution,[],[f679,f280]) ).
fof(f691,plain,
( spl13_1
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f690,f307,f303]) ).
fof(f696,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| ~ spl13_1 ),
inference(superposition,[],[f327,f305]) ).
fof(f702,plain,
( ~ aSet0(slcrc0)
| ~ spl13_1
| ~ spl13_3 ),
inference(resolution,[],[f696,f605]) ).
fof(f706,plain,
( $false
| ~ spl13_1
| ~ spl13_3 ),
inference(forward_subsumption_resolution,[],[f702,f313]) ).
fof(f707,plain,
( ~ spl13_1
| ~ spl13_3 ),
inference(avatar_contradiction_clause,[],[f706]) ).
cnf(s1,plain,
( spl13_1
| spl13_2 ),
inference(sat_conversion,[],[f310]) ).
cnf(s4,plain,
spl13_3,
inference(sat_conversion,[],[f325]) ).
cnf(s29,plain,
( spl13_1
| ~ spl13_2 ),
inference(sat_conversion,[],[f691]) ).
cnf(s31,plain,
( ~ spl13_1
| ~ spl13_3 ),
inference(sat_conversion,[],[f707]) ).
cnf(s50,plain,
~ spl13_1,
inference(rat,[],[s31,s4]) ).
cnf(s51,plain,
~ spl13_2,
inference(rat,[],[s29,s50]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s1,s51,s50]) ).
fof(f708,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM545+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n020.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 20:26:35 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.46 % (3721991)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3721998)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2083806640:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.46 % (3721997)% WARNING: option uhcvi not known.
% 0.16/0.46 % (3721996)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1810692230_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.46 % (3721997)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1834969444:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.46 % (3722001)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3214957711:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (3721999)dis+10_1_sil=32000:sp=arity:random_seed=2662110161:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.46 % (3722000)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2294639639:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.46 % (3722002)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3838243788:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.46 % TRYING [1]
% 0.16/0.46 % TRYING [2]
% 0.16/0.46 % (3721999) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3721991-3721999"...
% 0.16/0.46 % TRYING [3]
% 0.16/0.46 % (3721999)...printing done.
% 0.16/0.46 % (3721999)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Theorem for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3721999)------------------------------
% 0.16/0.47 % (3721999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3721999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3721999)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3721999)Termination reason: Refutation
% 0.16/0.47 % (3721999)Time elapsed: 0.012 s
% 0.16/0.47 % (3721999)Peak memory usage: 12 MB
% 0.16/0.47 % (3721999)Instructions burned: 15 (million)
% 0.16/0.47 % (3721991)Success in time 0.048 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------