%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM566+1 : 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 : n017.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 12:15:46 PM UTC 2026
% Result : Theorem 2.79s 1.26s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 17 unt; 0 def)
% Number of atoms : 176 ( 15 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 213 ( 96 ~; 80 |; 27 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-2 aty)
% Number of variables : 62 ( 54 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
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(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
fof(f23,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mImgRng) ).
fof(f73,axiom,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f75,axiom,
( aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aFunction0(xc)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f78,axiom,
xK = sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f79,axiom,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3476) ).
fof(f80,axiom,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3507) ).
fof(f81,conjecture,
? [X0] :
( aElementOf0(X0,xT)
& ? [X1] :
( aSubsetOf0(X1,xS)
& isCountable0(X1)
& ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f82,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xT)
& ? [X1] :
( aSubsetOf0(X1,xS)
& isCountable0(X1)
& ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 ) ) ),
inference(negated_conjecture,[status(cth)],[f81]) ).
fof(f94,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f95,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f106,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) ) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f144,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| ! [X1] :
( ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
& aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f95]) ).
fof(f145,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,[],[f107]) ).
fof(f146,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,[],[f145]) ).
fof(f147,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,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( ~ aElementOf0(sK3(X0,X1),X0)
& aElementOf0(sK3(X0,X1),X1) ) )
& ( ( aSet0(X1)
& ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) ) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f147]) ).
fof(f162,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f164,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f165,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f166,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f167,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f168,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f173,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f174,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(cnf_transformation,[],[f79]) ).
fof(f175,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f176,plain,
! [X0,X1] :
( aElementOf0(sK2(X0,X1),slbdtsldtrb0(X1,xK))
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f144]) ).
fof(f177,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK2(X0,X1)) != X0
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f144]) ).
fof(f180,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f185,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f186,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f187,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f202,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f231,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
inference(definition_unfolding,[],[f174,f173]) ).
fof(f232,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xK)) ),
inference(definition_unfolding,[],[f175,f173]) ).
fof(f250,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(superposition,[],[f231,f167]) ).
fof(f251,plain,
! [X0] :
( aElementOf0(sK2(X0,xS),szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| ~ aElementOf0(X0,xT) ),
inference(superposition,[],[f176,f167]) ).
fof(f252,plain,
! [X0] :
( aElementOf0(sK2(X0,xS),szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X0,xT) ),
inference(forward_subsumption_resolution,[],[f251,f164]) ).
fof(f256,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[],[f187,f165]) ).
fof(f261,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[],[f256,f180]) ).
fof(f287,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,szDzozmdt0(xc)) ),
inference(forward_demodulation,[],[f232,f167]) ).
fof(f290,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,slcrc0) != X0
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| ~ aElementOf0(X0,xT)
| ~ aElementOf0(sK2(X0,X1),szDzozmdt0(xc)) ),
inference(superposition,[],[f177,f287]) ).
fof(f292,plain,
! [X0] :
( ~ aElementOf0(sK2(sdtlpdtrp0(xc,slcrc0),X0),szDzozmdt0(xc))
| ~ isCountable0(X0)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(X0,xS) ),
inference(equality_resolution,[],[f290]) ).
fof(f295,plain,
( ~ isCountable0(xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS)
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(resolution,[],[f292,f252]) ).
fof(f298,plain,
( ~ isCountable0(xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS) ),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f299,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS) ),
inference(forward_subsumption_resolution,[],[f298,f164]) ).
fof(f300,plain,
! [X0] :
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),X0)
| ~ aSubsetOf0(X0,xT)
| ~ aSet0(xT) ),
inference(resolution,[],[f299,f186]) ).
fof(f302,plain,
! [X0] :
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),X0)
| ~ aSubsetOf0(xS,xS)
| ~ aSubsetOf0(X0,xT) ),
inference(forward_subsumption_resolution,[],[f300,f162]) ).
fof(f353,plain,
( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aFunction0(xc)
| ~ aSubsetOf0(xS,xS)
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(resolution,[],[f202,f302]) ).
fof(f364,plain,
( ~ aFunction0(xc)
| ~ aSubsetOf0(xS,xS)
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(forward_subsumption_resolution,[],[f353,f250]) ).
fof(f368,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(forward_subsumption_resolution,[],[f364,f168]) ).
fof(f371,plain,
~ aSubsetOf0(xS,xS),
inference(forward_subsumption_resolution,[],[f368,f166]) ).
fof(f372,plain,
~ aSet0(xS),
inference(resolution,[],[f371,f185]) ).
fof(f373,plain,
$false,
inference(forward_subsumption_resolution,[],[f372,f261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM566+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n017.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 20:27:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 2.79/1.26 % (2916452)Detected formulas, will run a generic FOF schedule.
% 2.79/1.26 % (2916463)dis-21_1_sil=8000:lcm=predicate:random_seed=2568236846: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)
% 2.79/1.26 % (2916463)Instruction limit reached!
% 2.79/1.26 % (2916463)------------------------------
% 2.79/1.26 % (2916463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.26 % (2916463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.26 % (2916463)CaDiCaL version: 2.1.3
% 2.79/1.26 % (2916463)Termination reason: Instruction limit
% 2.79/1.26 % (2916463)Termination phase: Saturation
% 2.79/1.26 % (2916463)Time elapsed: 0.035 s
% 2.79/1.26 % (2916463)Peak memory usage: 89 MB
% 2.79/1.26 % (2916463)Instructions burned: 133 (million)
% 2.79/1.26 % (2916462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=45615169:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.79/1.26 % (2916460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=54204308:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.79/1.26 % (2916457)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=3193203338:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.79/1.26 % (2916458)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=950550777:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.79/1.26 % (2916459)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=1206449157:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.79/1.26 % (2916461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3478208698:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.79/1.26 % (2916461)First to succeed.
% 2.79/1.26 % (2916461)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2916452"
% 2.79/1.26 % (2916460)Also succeeded, but the first one will report.
% 2.79/1.26 % (2916470)lrs+10_1_sil=8000:sp=occurrence:random_seed=1342887278:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.79/1.26 % (2916462)Instruction limit reached!
% 2.79/1.26 % (2916462)------------------------------
% 2.79/1.26 % (2916462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.26 % (2916462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.26 % (2916462)CaDiCaL version: 2.1.3
% 2.79/1.26 % (2916462)Termination reason: Instruction limit
% 2.79/1.26 % (2916462)Termination phase: Saturation
% 2.79/1.26 % (2916462)Time elapsed: 0.111 s
% 2.79/1.26 % (2916462)Peak memory usage: 90 MB
% 2.79/1.26 % (2916462)Instructions burned: 139 (million)
% 2.79/1.26 % (2916470)Instruction limit reached!
% 2.79/1.26 % (2916470)------------------------------
% 2.79/1.26 % (2916470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.26 % (2916470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.26 % (2916470)CaDiCaL version: 2.1.3
% 2.79/1.26 % (2916470)Termination reason: Instruction limit
% 2.79/1.26 % (2916470)Termination phase: Saturation
% 2.79/1.26 % (2916470)Time elapsed: 0.095 s
% 2.79/1.26 % (2916470)Peak memory usage: 92 MB
% 2.79/1.26 % (2916470)Instructions burned: 285 (million)
% 2.79/1.26 % (2916473)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3421212625:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.79/1.26 % (2916473)Refutation not found, incomplete strategy
% 2.79/1.26 % (2916473)------------------------------
% 2.79/1.26 % (2916473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.26 % (2916473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.26 % (2916473)CaDiCaL version: 2.1.3
% 2.79/1.26 % (2916473)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.26 % (2916473)Time elapsed: 0.005 s
% 2.79/1.26 % (2916473)Peak memory usage: 89 MB
% 2.79/1.26 % (2916473)Instructions burned: 5 (million)
% 2.79/1.26 % (2916461)Refutation found. Thanks to Tanya!
% 2.79/1.26 % SZS status Theorem for theBenchmark
% 2.79/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.45 % (2916461)------------------------------
% 3.52/1.45 % (2916461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.45 % (2916461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.45 % (2916461)CaDiCaL version: 2.1.3
% 3.52/1.45 % (2916461)Termination reason: Refutation
% 3.52/1.45 % (2916461)Time elapsed: 0.008 s
% 3.52/1.45 % (2916461)Peak memory usage: 89 MB
% 3.52/1.45 % (2916461)Instructions burned: 10 (million)
% 3.52/1.45 % (2916461)------------------------------
% 3.52/1.45 % (2916461)------------------------------
% 3.52/1.45 % (2916452)Success in time 0.415 s
% 3.52/1.45 % Vampire exiting
%------------------------------------------------------------------------------