%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM552+3 : 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 : n009.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 12:15:43 PM UTC 2026
% Result : Theorem 1.81s 1.11s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 289 ( 44 equ)
% Maximal formula atoms : 43 ( 14 avg)
% Number of connectives : 361 ( 92 ~; 77 |; 161 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-2 aty)
% Number of variables : 68 ( 54 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f63,axiom,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk ) )
& ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xT,xk))
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) )
& aSubsetOf0(X0,xT)
& sbrdtbr0(X0) = xk ) )
& ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xT) ) )
| aSubsetOf0(X0,xT) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) ) )
& ! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> aElementOf0(X0,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk ) )
& ( ( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) ) )
| aSubsetOf0(X0,xS) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X0] : aElementOf0(X0,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).
fof(f65,axiom,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(f68,conjecture,
( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f69,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
inference(negated_conjecture,[status(cth)],[f68]) ).
fof(f70,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk ) )
& ( ( ( ( aSet0(X0)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X0,xS) )
& sbrdtbr0(X0) = xk )
=> aElementOf0(X0,slbdtsldtrb0(xS,xk)) ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xT) )
& aSubsetOf0(X3,xT)
& sbrdtbr0(X3) = xk ) )
& ( ( ( ( aSet0(X3)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xT) ) )
| aSubsetOf0(X3,xT) )
& sbrdtbr0(X3) = xk )
=> aElementOf0(X3,slbdtsldtrb0(xT,xk)) ) )
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xS,xk))
=> aElementOf0(X6,slbdtsldtrb0(xT,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ~ ( ! [X7] :
( ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
=> ( aSet0(X7)
& ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,xS) )
& aSubsetOf0(X7,xS)
& xk = sbrdtbr0(X7) ) )
& ( ( ( ( aSet0(X7)
& ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,xS) ) )
| aSubsetOf0(X7,xS) )
& xk = sbrdtbr0(X7) )
=> aElementOf0(X7,slbdtsldtrb0(xS,xk)) ) )
=> ( ~ ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
| slbdtsldtrb0(xS,xk) = slcrc0 ) ) ),
inference(rectify,[],[f63]) ).
fof(f77,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xk ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,xT)
| ~ aElementOf0(X4,X3) )
& aSubsetOf0(X3,xT)
& sbrdtbr0(X3) = xk )
| ~ aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( ( ~ aSet0(X3)
| ? [X5] :
( ~ aElementOf0(X5,xT)
& aElementOf0(X5,X3) ) )
& ~ aSubsetOf0(X3,xT) )
| sbrdtbr0(X3) != xk ) )
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X7] :
( ( ( aSet0(X7)
& ! [X8] :
( aElementOf0(X8,xS)
| ~ aElementOf0(X8,X7) )
& aSubsetOf0(X7,xS)
& xk = sbrdtbr0(X7) )
| ~ aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X7)
| ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X7) ) )
& ~ aSubsetOf0(X7,xS) )
| xk != sbrdtbr0(X7) ) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f78,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xk ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,xT)
| ~ aElementOf0(X4,X3) )
& aSubsetOf0(X3,xT)
& sbrdtbr0(X3) = xk )
| ~ aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( ( ~ aSet0(X3)
| ? [X5] :
( ~ aElementOf0(X5,xT)
& aElementOf0(X5,X3) ) )
& ~ aSubsetOf0(X3,xT) )
| sbrdtbr0(X3) != xk ) )
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ? [X10] : aElementOf0(X10,slbdtsldtrb0(xS,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X7] :
( ( ( aSet0(X7)
& ! [X8] :
( aElementOf0(X8,xS)
| ~ aElementOf0(X8,X7) )
& aSubsetOf0(X7,xS)
& xk = sbrdtbr0(X7) )
| ~ aElementOf0(X7,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X7,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X7)
| ? [X9] :
( ~ aElementOf0(X9,xS)
& aElementOf0(X9,X7) ) )
& ~ aSubsetOf0(X7,xS) )
| xk != sbrdtbr0(X7) ) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
( aSet0(xQ)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSubsetOf0(xQ,xS)
& sbrdtbr0(xQ) = xk
& aElementOf0(xQ,slbdtsldtrb0(xS,xk)) ),
inference(ennf_transformation,[],[f65]) ).
fof(f80,plain,
( ~ aElementOf0(xx,xT)
& aElementOf0(xx,xQ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f109,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X0)
| ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xk ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,xT)
| ~ aElementOf0(X4,X3) )
& aSubsetOf0(X3,xT)
& sbrdtbr0(X3) = xk )
| ~ aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( ( ~ aSet0(X3)
| ? [X5] :
( ~ aElementOf0(X5,xT)
& aElementOf0(X5,X3) ) )
& ~ aSubsetOf0(X3,xT) )
| sbrdtbr0(X3) != xk ) )
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ? [X7] : aElementOf0(X7,slbdtsldtrb0(xS,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X8] :
( ( ( aSet0(X8)
& ! [X9] :
( aElementOf0(X9,xS)
| ~ aElementOf0(X9,X8) )
& aSubsetOf0(X8,xS)
& xk = sbrdtbr0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X8)
| ? [X10] :
( ~ aElementOf0(X10,xS)
& aElementOf0(X10,X8) ) )
& ~ aSubsetOf0(X8,xS) )
| xk != sbrdtbr0(X8) ) ) ),
inference(rectify,[],[f78]) ).
fof(f110,plain,
( aSet0(slbdtsldtrb0(xS,xk))
& ! [X0] :
( ( ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& sbrdtbr0(X0) = xk )
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X0,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X0)
| ( ~ aElementOf0(sK0(X0),xS)
& aElementOf0(sK0(X0),X0) ) )
& ~ aSubsetOf0(X0,xS) )
| sbrdtbr0(X0) != xk ) )
& aSet0(slbdtsldtrb0(xT,xk))
& ! [X3] :
( ( ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,xT)
| ~ aElementOf0(X4,X3) )
& aSubsetOf0(X3,xT)
& sbrdtbr0(X3) = xk )
| ~ aElementOf0(X3,slbdtsldtrb0(xT,xk)) )
& ( aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ( ( ~ aSet0(X3)
| ( ~ aElementOf0(sK1(X3),xT)
& aElementOf0(sK1(X3),X3) ) )
& ~ aSubsetOf0(X3,xT) )
| sbrdtbr0(X3) != xk ) )
& ! [X6] :
( aElementOf0(X6,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X6,slbdtsldtrb0(xS,xk)) )
& aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& aElementOf0(sK2,slbdtsldtrb0(xS,xk))
& slcrc0 != slbdtsldtrb0(xS,xk)
& ! [X8] :
( ( ( aSet0(X8)
& ! [X9] :
( aElementOf0(X9,xS)
| ~ aElementOf0(X9,X8) )
& aSubsetOf0(X8,xS)
& xk = sbrdtbr0(X8) )
| ~ aElementOf0(X8,slbdtsldtrb0(xS,xk)) )
& ( aElementOf0(X8,slbdtsldtrb0(xS,xk))
| ( ( ~ aSet0(X8)
| ( ~ aElementOf0(sK3(X8),xS)
& aElementOf0(sK3(X8),X8) ) )
& ~ aSubsetOf0(X8,xS) )
| xk != sbrdtbr0(X8) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X2,sK0(X0)),skolemize(X5,sK1(X3)),skolemize(X7,sK2),skolemize(X10,sK3(X8))],[f109]) ).
fof(f141,plain,
! [X6] :
( ~ aElementOf0(X6,slbdtsldtrb0(xS,xk))
| aElementOf0(X6,slbdtsldtrb0(xT,xk)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f147,plain,
! [X3,X4] :
( ~ aElementOf0(X3,slbdtsldtrb0(xT,xk))
| ~ aElementOf0(X4,X3)
| aElementOf0(X4,xT) ),
inference(cnf_transformation,[],[f110]) ).
fof(f159,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnf_transformation,[],[f79]) ).
fof(f168,plain,
aElementOf0(xx,xQ),
inference(cnf_transformation,[],[f80]) ).
fof(f169,plain,
~ aElementOf0(xx,xT),
inference(cnf_transformation,[],[f80]) ).
fof(f477,plain,
aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
inference(resolution,[],[f141,f159]) ).
fof(f661,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xT) ),
inference(resolution,[],[f477,f147]) ).
fof(f962,plain,
aElementOf0(xx,xT),
inference(resolution,[],[f661,f168]) ).
fof(f968,plain,
$false,
inference(forward_subsumption_resolution,[],[f962,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM552+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 20:27:45 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 1.81/1.11 % (2372719)Detected formulas, will run a generic FOF schedule.
% 1.81/1.11 % (2372727)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=53742027:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.81/1.11 % (2372727)First to succeed.
% 1.81/1.11 % (2372727)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2372719"
% 1.81/1.11 % (2372729)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2804402698:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.81/1.11 % (2372724)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=1921185645:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.81/1.11 % (2372725)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=3167939849:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.81/1.11 % (2372726)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=1916848876:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.81/1.11 % (2372730)dis-21_1_sil=8000:lcm=predicate:random_seed=3734691128: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)
% 1.81/1.11 % (2372728)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3361681190:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.81/1.11 % (2372729)Also succeeded, but the first one will report.
% 1.81/1.11 % (2372728)Also succeeded, but the first one will report.
% 1.81/1.11 % (2372730)Instruction limit reached!
% 1.81/1.11 % (2372730)------------------------------
% 1.81/1.11 % (2372730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.81/1.11 % (2372730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.81/1.11 % (2372730)CaDiCaL version: 2.1.3
% 1.81/1.11 % (2372730)Termination reason: Instruction limit
% 1.81/1.11 % (2372730)Termination phase: Saturation
% 1.81/1.11 % (2372730)Time elapsed: 0.060 s
% 1.81/1.11 % (2372730)Peak memory usage: 88 MB
% 1.81/1.11 % (2372730)Instructions burned: 130 (million)
% 1.81/1.11 % (2372727)Refutation found. Thanks to Tanya!
% 1.81/1.11 % SZS status Theorem for theBenchmark
% 1.81/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.30 % (2372727)------------------------------
% 0.15/1.30 % (2372727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.30 % (2372727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.30 % (2372727)CaDiCaL version: 2.1.3
% 0.15/1.30 % (2372727)Termination reason: Refutation
% 0.15/1.30 % (2372727)Time elapsed: 0.010 s
% 0.15/1.30 % (2372727)Peak memory usage: 89 MB
% 0.15/1.30 % (2372727)Instructions burned: 24 (million)
% 0.15/1.30 % (2372727)------------------------------
% 0.15/1.30 % (2372727)------------------------------
% 0.15/1.30 % (2372719)Success in time 0.278 s
% 0.15/1.30 % Vampire exiting
%------------------------------------------------------------------------------