TSTP Solution File: NUM612+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM612+3 : 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 : n003.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 08:13:28 EDT 2024
% Result : Theorem 0.63s 0.76s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 60 ( 12 unt; 0 def)
% Number of atoms : 164 ( 29 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 164 ( 60 ~; 54 |; 31 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1408,plain,
$false,
inference(avatar_sat_refutation,[],[f810,f1260,f1332,f1407]) ).
fof(f1407,plain,
( spl93_1
| ~ spl93_21 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1406,plain,
( $false
| spl93_1
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1392,f805]) ).
fof(f805,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| spl93_1 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f803,plain,
( spl93_1
<=> aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_1])]) ).
fof(f1392,plain,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ spl93_21 ),
inference(unit_resulting_resolution,[],[f546,f1388,f570]) ).
fof(f570,plain,
! [X0] :
( aElementOf0(sbrdtbr0(X0),szNzAzT0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( aSet0(X0)
=> ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
<=> isFinite0(X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',mCardNum) ).
fof(f1388,plain,
( isFinite0(xP)
| ~ spl93_21 ),
inference(forward_demodulation,[],[f1338,f797]) ).
fof(f797,plain,
xP = sdtmndt0(xQ,xp),
inference(forward_demodulation,[],[f547,f540]) ).
fof(f540,plain,
xp = szmzizndt0(xQ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
( xp = szmzizndt0(xQ)
& ! [X0] :
( sdtlseqdt0(xp,X0)
| ~ aElementOf0(X0,xQ) )
& aElementOf0(xp,xQ) ),
inference(ennf_transformation,[],[f103]) ).
fof(f103,axiom,
( xp = szmzizndt0(xQ)
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(xp,X0) )
& aElementOf0(xp,xQ) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',m__5147) ).
fof(f547,plain,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( sdtlseqdt0(szmzizndt0(xQ),X1)
| ~ aElementOf0(X1,xQ) )
& aSet0(xP) ),
inference(ennf_transformation,[],[f125]) ).
fof(f125,plain,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X1] :
( aElementOf0(X1,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X1) )
& aSet0(xP) ),
inference(rectify,[],[f104]) ).
fof(f104,axiom,
( xP = sdtmndt0(xQ,szmzizndt0(xQ))
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( szmzizndt0(xQ) != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& ! [X0] :
( aElementOf0(X0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),X0) )
& aSet0(xP) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',m__5164) ).
fof(f1338,plain,
( isFinite0(sdtmndt0(xQ,xp))
| ~ spl93_21 ),
inference(unit_resulting_resolution,[],[f524,f1194,f1314,f623]) ).
fof(f623,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ aSet0(X1)
| ~ isFinite0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',mFDiffSet) ).
fof(f1314,plain,
aElement0(xp),
inference(unit_resulting_resolution,[],[f524,f539,f622]) ).
fof(f622,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aSet0(X0)
| aElement0(X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',mEOfElem) ).
fof(f539,plain,
aElementOf0(xp,xQ),
inference(cnf_transformation,[],[f160]) ).
fof(f1194,plain,
( isFinite0(xQ)
| ~ spl93_21 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1193,plain,
( spl93_21
<=> isFinite0(xQ) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_21])]) ).
fof(f524,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xO)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f99]) ).
fof(f99,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xO,xK))
& xK = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xO)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xO) )
& aSet0(xQ) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',m__5078) ).
fof(f546,plain,
aSet0(xP),
inference(cnf_transformation,[],[f161]) ).
fof(f1332,plain,
( spl93_2
| ~ spl93_21 ),
inference(avatar_split_clause,[],[f1331,f1193,f807]) ).
fof(f807,plain,
( spl93_2
<=> xK = szszuzczcdt0(sbrdtbr0(xP)) ),
introduced(avatar_definition,[new_symbols(naming,[spl93_2])]) ).
fof(f1331,plain,
( xK = szszuzczcdt0(sbrdtbr0(xP))
| ~ spl93_21 ),
inference(forward_demodulation,[],[f1330,f526]) ).
fof(f526,plain,
xK = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f155]) ).
fof(f1330,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP))
| ~ spl93_21 ),
inference(forward_demodulation,[],[f1329,f797]) ).
fof(f1329,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1328,f524]) ).
fof(f1328,plain,
( ~ aSet0(xQ)
| sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp)))
| ~ spl93_21 ),
inference(subsumption_resolution,[],[f1320,f1194]) ).
fof(f1320,plain,
( ~ isFinite0(xQ)
| ~ aSet0(xQ)
| sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xp))) ),
inference(resolution,[],[f539,f615]) ).
fof(f615,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0)
| sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',mCardDiff) ).
fof(f1260,plain,
spl93_21,
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| spl93_21 ),
inference(subsumption_resolution,[],[f1258,f265]) ).
fof(f265,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',m__3418) ).
fof(f1258,plain,
( ~ aElementOf0(xK,szNzAzT0)
| spl93_21 ),
inference(forward_demodulation,[],[f1257,f526]) ).
fof(f1257,plain,
( ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0)
| spl93_21 ),
inference(unit_resulting_resolution,[],[f524,f1195,f571]) ).
fof(f571,plain,
! [X0] :
( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
| isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f1195,plain,
( ~ isFinite0(xQ)
| spl93_21 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f810,plain,
( ~ spl93_1
| ~ spl93_2 ),
inference(avatar_split_clause,[],[f801,f807,f803]) ).
fof(f801,plain,
( xK != szszuzczcdt0(sbrdtbr0(xP))
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(forward_demodulation,[],[f555,f526]) ).
fof(f555,plain,
( sbrdtbr0(xQ) != szszuzczcdt0(sbrdtbr0(xP))
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
( ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| sbrdtbr0(xQ) != szszuzczcdt0(sbrdtbr0(xP)) ),
inference(ennf_transformation,[],[f110]) ).
fof(f110,negated_conjecture,
~ ( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)) ),
inference(negated_conjecture,[],[f109]) ).
fof(f109,conjecture,
( aElementOf0(sbrdtbr0(xP),szNzAzT0)
& sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(xP)) ),
file('/export/starexec/sandbox2/tmp/tmp.PGfHE3f0cy/Vampire---4.8_26412',m__) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM612+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % 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
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:25:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35 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.PGfHE3f0cy/Vampire---4.8_26412
% 0.54/0.74 % (26526)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)
% 0.54/0.74 % (26520)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)
% 0.54/0.74 % (26522)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.74 % (26523)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)
% 0.54/0.74 % (26521)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)
% 0.54/0.74 % (26524)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)
% 0.54/0.74 % (26525)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)
% 0.54/0.75 % (26527)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)
% 0.59/0.76 % (26523)Instruction limit reached!
% 0.59/0.76 % (26523)------------------------------
% 0.59/0.76 % (26523)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26523)Termination reason: Unknown
% 0.59/0.76 % (26523)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (26523)Memory used [KB]: 1732
% 0.59/0.76 % (26523)Time elapsed: 0.019 s
% 0.59/0.76 % (26523)Instructions burned: 34 (million)
% 0.59/0.76 % (26523)------------------------------
% 0.59/0.76 % (26523)------------------------------
% 0.59/0.76 % (26520)Instruction limit reached!
% 0.59/0.76 % (26520)------------------------------
% 0.59/0.76 % (26520)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26520)Termination reason: Unknown
% 0.59/0.76 % (26520)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (26520)Memory used [KB]: 1762
% 0.59/0.76 % (26520)Time elapsed: 0.020 s
% 0.59/0.76 % (26520)Instructions burned: 35 (million)
% 0.59/0.76 % (26520)------------------------------
% 0.59/0.76 % (26520)------------------------------
% 0.59/0.76 % (26526)First to succeed.
% 0.63/0.76 % (26526)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26519"
% 0.63/0.76 % (26526)Refutation found. Thanks to Tanya!
% 0.63/0.76 % SZS status Theorem for Vampire---4
% 0.63/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.76 % (26526)------------------------------
% 0.63/0.76 % (26526)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76 % (26526)Termination reason: Refutation
% 0.63/0.76
% 0.63/0.76 % (26526)Memory used [KB]: 1892
% 0.63/0.76 % (26526)Time elapsed: 0.022 s
% 0.63/0.76 % (26526)Instructions burned: 66 (million)
% 0.63/0.76 % (26519)Success in time 0.395 s
% 0.63/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------