TSTP Solution File: NUM549+3 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : NUM549+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/sandbox/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 08:12:57 EDT 2024
% Result : Theorem 0.57s 0.73s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 10 unt; 0 def)
% Number of atoms : 117 ( 34 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 122 ( 49 ~; 40 |; 23 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 39 ( 32 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f402,plain,
$false,
inference(avatar_sat_refutation,[],[f365,f398]) ).
fof(f398,plain,
~ spl9_3,
inference(avatar_contradiction_clause,[],[f397]) ).
fof(f397,plain,
( $false
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f396,f248]) ).
fof(f248,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK5(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f137,f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,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/sandbox/tmp/tmp.pUA0oafoVd/Vampire---4.8_31294',mDefEmp) ).
fof(f396,plain,
( ~ aSet0(slcrc0)
| ~ spl9_3 ),
inference(subsumption_resolution,[],[f385,f157]) ).
fof(f157,plain,
sz00 != xk,
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmp.pUA0oafoVd/Vampire---4.8_31294',m__2202_02) ).
fof(f385,plain,
( sz00 = xk
| ~ aSet0(slcrc0)
| ~ spl9_3 ),
inference(superposition,[],[f246,f369]) ).
fof(f369,plain,
( xk = sbrdtbr0(slcrc0)
| ~ spl9_3 ),
inference(superposition,[],[f189,f293]) ).
fof(f293,plain,
( slcrc0 = xQ
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl9_3
<=> slcrc0 = xQ ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f189,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/tmp/tmp.pUA0oafoVd/Vampire---4.8_31294',m__2270) ).
fof(f246,plain,
( sz00 = sbrdtbr0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,plain,
! [X0] :
( sz00 = sbrdtbr0(X0)
| slcrc0 != X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ( ( sz00 = sbrdtbr0(X0)
| slcrc0 != X0 )
& ( slcrc0 = X0
| sz00 != sbrdtbr0(X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( aSet0(X0)
=> ( sz00 = sbrdtbr0(X0)
<=> slcrc0 = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.pUA0oafoVd/Vampire---4.8_31294',mCardEmpty) ).
fof(f365,plain,
spl9_3,
inference(avatar_split_clause,[],[f364,f291]) ).
fof(f364,plain,
slcrc0 = xQ,
inference(subsumption_resolution,[],[f362,f186]) ).
fof(f186,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f77]) ).
fof(f362,plain,
( slcrc0 = xQ
| ~ aSet0(xQ) ),
inference(resolution,[],[f361,f207]) ).
fof(f207,plain,
! [X0] :
( aElementOf0(sK5(X0),X0)
| slcrc0 = X0
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f361,plain,
! [X0] : ~ aElementOf0(X0,xQ),
inference(subsumption_resolution,[],[f360,f194]) ).
fof(f194,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,negated_conjecture,
~ ? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
? [X0] :
( aElementOf0(X0,xQ)
& aElement0(X0) ),
file('/export/starexec/sandbox/tmp/tmp.pUA0oafoVd/Vampire---4.8_31294',m__) ).
fof(f360,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElement0(X0) ),
inference(subsumption_resolution,[],[f358,f155]) ).
fof(f155,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f358,plain,
! [X0] :
( ~ aElementOf0(X0,xQ)
| aElement0(X0)
| ~ aSet0(xS) ),
inference(resolution,[],[f187,f232]) ).
fof(f232,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,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/sandbox/tmp/tmp.pUA0oafoVd/Vampire---4.8_31294',mEOfElem) ).
fof(f187,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f77]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM549+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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 14:27:22 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.pUA0oafoVd/Vampire---4.8_31294
% 0.57/0.73 % (31413)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)
% 0.57/0.73 % (31412)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)
% 0.57/0.73 % (31406)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)
% 0.57/0.73 % (31408)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.73 % (31409)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)
% 0.57/0.73 % (31410)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)
% 0.57/0.73 % (31411)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)
% 0.57/0.73 % (31407)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)
% 0.57/0.73 % (31411)First to succeed.
% 0.57/0.73 % (31411)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-31405"
% 0.57/0.73 % (31408)Also succeeded, but the first one will report.
% 0.57/0.73 % (31411)Refutation found. Thanks to Tanya!
% 0.57/0.73 % SZS status Theorem for Vampire---4
% 0.57/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (31411)------------------------------
% 0.57/0.74 % (31411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (31411)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (31411)Memory used [KB]: 1164
% 0.57/0.74 % (31411)Time elapsed: 0.008 s
% 0.57/0.74 % (31411)Instructions burned: 11 (million)
% 0.57/0.74 % (31405)Success in time 0.371 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------