TSTP Solution File: NUM545+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM545+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 08:12:55 EDT 2024
% Result : Theorem 0.46s 0.67s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 53 ( 12 unt; 0 def)
% Number of atoms : 127 ( 22 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 123 ( 49 ~; 43 |; 15 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-1 aty)
% Number of variables : 36 ( 33 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f618,plain,
$false,
inference(avatar_sat_refutation,[],[f252,f440,f607]) ).
fof(f607,plain,
( ~ spl11_1
| spl11_2 ),
inference(avatar_contradiction_clause,[],[f606]) ).
fof(f606,plain,
( $false
| ~ spl11_1
| spl11_2 ),
inference(subsumption_resolution,[],[f601,f532]) ).
fof(f532,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f194,f135,f475,f145]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mDefSub) ).
fof(f475,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| spl11_2 ),
inference(unit_resulting_resolution,[],[f136,f135,f250,f229]) ).
fof(f229,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| ~ isFinite0(X0)
| slcrc0 = X0
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| slcrc0 = X0
| aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mDefMax) ).
fof(f250,plain,
( slcrc0 != xS
| spl11_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl11_2
<=> slcrc0 = xS ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f136,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f55,axiom,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',m__1986) ).
fof(f135,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f194,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mNATSet) ).
fof(f601,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ spl11_1 ),
inference(resolution,[],[f502,f183]) ).
fof(f183,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mSuccNum) ).
fof(f502,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| ~ spl11_1 ),
inference(unit_resulting_resolution,[],[f247,f138]) ).
fof(f138,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f57]) ).
fof(f57,conjecture,
? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',m__) ).
fof(f247,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ spl11_1 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f245,plain,
( spl11_1
<=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f440,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f439]) ).
fof(f439,plain,
( $false
| ~ spl11_2 ),
inference(subsumption_resolution,[],[f428,f228]) ).
fof(f228,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mDefEmp) ).
fof(f428,plain,
( ~ aSet0(slcrc0)
| ~ spl11_2 ),
inference(resolution,[],[f417,f142]) ).
fof(f142,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mSubRefl) ).
fof(f417,plain,
( ~ aSubsetOf0(slcrc0,slcrc0)
| ~ spl11_2 ),
inference(forward_demodulation,[],[f416,f251]) ).
fof(f251,plain,
( slcrc0 = xS
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f416,plain,
~ aSubsetOf0(xS,slcrc0),
inference(forward_demodulation,[],[f411,f147]) ).
fof(f147,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mSegZero) ).
fof(f411,plain,
~ aSubsetOf0(xS,slbdtrb0(sz00)),
inference(unit_resulting_resolution,[],[f185,f138]) ).
fof(f185,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',mZeroNum) ).
fof(f252,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f137,f249,f245]) ).
fof(f137,plain,
( slcrc0 = xS
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| slcrc0 = xS ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
( slcrc0 != xS
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693',m__2035) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM545+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30 % Computer : n007.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Fri May 3 14:57:37 EDT 2024
% 0.14/0.30 % CPUTime :
% 0.14/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.CbfoS2KQDR/Vampire---4.8_16693
% 0.46/0.66 % (16802)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.46/0.66 % (16805)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.46/0.66 % (16804)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.66 % (16809)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.46/0.66 % (16806)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.46/0.66 % (16808)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.46/0.66 % (16807)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.46/0.66 % (16803)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.46/0.66 % (16805)Refutation not found, incomplete strategy% (16805)------------------------------
% 0.46/0.66 % (16805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (16805)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66
% 0.46/0.66 % (16805)Memory used [KB]: 1122
% 0.46/0.66 % (16805)Time elapsed: 0.004 s
% 0.46/0.66 % (16805)Instructions burned: 6 (million)
% 0.46/0.66 % (16807)Refutation not found, incomplete strategy% (16807)------------------------------
% 0.46/0.66 % (16807)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.66 % (16807)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.66
% 0.46/0.66 % (16807)Memory used [KB]: 1132
% 0.46/0.66 % (16807)Time elapsed: 0.004 s
% 0.46/0.66 % (16807)Instructions burned: 6 (million)
% 0.46/0.66 % (16805)------------------------------
% 0.46/0.66 % (16805)------------------------------
% 0.46/0.66 % (16807)------------------------------
% 0.46/0.66 % (16807)------------------------------
% 0.46/0.66 % (16810)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.46/0.67 % (16811)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.46/0.67 % (16808)First to succeed.
% 0.46/0.67 % (16808)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16801"
% 0.46/0.67 % (16808)Refutation found. Thanks to Tanya!
% 0.46/0.67 % SZS status Theorem for Vampire---4
% 0.46/0.67 % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.67 % (16808)------------------------------
% 0.46/0.67 % (16808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.67 % (16808)Termination reason: Refutation
% 0.46/0.67
% 0.46/0.67 % (16808)Memory used [KB]: 1303
% 0.46/0.67 % (16808)Time elapsed: 0.012 s
% 0.46/0.67 % (16808)Instructions burned: 21 (million)
% 0.46/0.67 % (16801)Success in time 0.368 s
% 0.46/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------