TSTP Solution File: SEU114+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU114+1 : TPTP v8.1.2. Released v3.2.0.
% 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 : n021.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 : Wed May 1 03:50:06 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 16 unt; 0 def)
% Number of atoms : 91 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 77 ( 31 ~; 25 |; 4 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 50 ( 49 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1460,plain,
$false,
inference(avatar_sat_refutation,[],[f1241,f1457,f1459]) ).
fof(f1459,plain,
spl13_10,
inference(avatar_split_clause,[],[f1458,f1238]) ).
fof(f1238,plain,
( spl13_10
<=> finite(sK10(powerset(sK0),finite_subsets(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f1458,plain,
finite(sK10(powerset(sK0),finite_subsets(sK0))),
inference(subsumption_resolution,[],[f1450,f62]) ).
fof(f62,plain,
finite(sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
? [X0] :
( powerset(X0) != finite_subsets(X0)
& finite(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,negated_conjecture,
~ ! [X0] :
( finite(X0)
=> powerset(X0) = finite_subsets(X0) ),
inference(negated_conjecture,[],[f29]) ).
fof(f29,conjecture,
! [X0] :
( finite(X0)
=> powerset(X0) = finite_subsets(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',t27_finsub_1) ).
fof(f1450,plain,
( ~ finite(sK0)
| finite(sK10(powerset(sK0),finite_subsets(sK0))) ),
inference(resolution,[],[f466,f86]) ).
fof(f86,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| ~ finite(X0)
| finite(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( ! [X1] :
( finite(X1)
| ~ element(X1,powerset(X0)) )
| ~ finite(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( finite(X0)
=> ! [X1] :
( element(X1,powerset(X0))
=> finite(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',cc2_finset_1) ).
fof(f466,plain,
element(sK10(powerset(sK0),finite_subsets(sK0)),powerset(sK0)),
inference(unit_resulting_resolution,[],[f182,f104]) ).
fof(f104,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',t1_subset) ).
fof(f182,plain,
in(sK10(powerset(sK0),finite_subsets(sK0)),powerset(sK0)),
inference(unit_resulting_resolution,[],[f164,f106]) ).
fof(f106,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',d3_tarski) ).
fof(f164,plain,
~ subset(powerset(sK0),finite_subsets(sK0)),
inference(unit_resulting_resolution,[],[f87,f63,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ subset(X1,X0)
| ~ subset(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',d10_xboole_0) ).
fof(f63,plain,
powerset(sK0) != finite_subsets(sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f87,plain,
! [X0] : subset(finite_subsets(X0),powerset(X0)),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] : subset(finite_subsets(X0),powerset(X0)),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',t26_finsub_1) ).
fof(f1457,plain,
spl13_9,
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1456,plain,
( $false
| spl13_9 ),
inference(subsumption_resolution,[],[f1448,f1236]) ).
fof(f1236,plain,
( ~ subset(sK10(powerset(sK0),finite_subsets(sK0)),sK0)
| spl13_9 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1234,plain,
( spl13_9
<=> subset(sK10(powerset(sK0),finite_subsets(sK0)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f1448,plain,
subset(sK10(powerset(sK0),finite_subsets(sK0)),sK0),
inference(resolution,[],[f466,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ element(X0,powerset(X1))
| subset(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0,X1] :
( element(X0,powerset(X1))
<=> subset(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',t3_subset) ).
fof(f1241,plain,
( ~ spl13_9
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f1232,f1238,f1234]) ).
fof(f1232,plain,
( ~ finite(sK10(powerset(sK0),finite_subsets(sK0)))
| ~ subset(sK10(powerset(sK0),finite_subsets(sK0)),sK0) ),
inference(resolution,[],[f510,f65]) ).
fof(f65,plain,
! [X2,X0] :
( sP2(X2,X0)
| ~ finite(X2)
| ~ subset(X2,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( ( finite_subsets(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ( finite(X2)
& subset(X2,X0) ) ) )
| ~ preboolean(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( preboolean(X1)
=> ( finite_subsets(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> ( finite(X2)
& subset(X2,X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',d5_finsub_1) ).
fof(f510,plain,
~ sP2(sK10(powerset(sK0),finite_subsets(sK0)),sK0),
inference(unit_resulting_resolution,[],[f92,f183,f121]) ).
fof(f121,plain,
! [X2,X0] :
( in(X2,finite_subsets(X0))
| ~ sP2(X2,X0)
| ~ preboolean(finite_subsets(X0)) ),
inference(equality_resolution,[],[f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ preboolean(X1)
| ~ sP2(X2,X0)
| in(X2,X1)
| finite_subsets(X0) != X1 ),
inference(cnf_transformation,[],[f41]) ).
fof(f183,plain,
~ in(sK10(powerset(sK0),finite_subsets(sK0)),finite_subsets(sK0)),
inference(unit_resulting_resolution,[],[f164,f107]) ).
fof(f107,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f92,plain,
! [X0] : preboolean(finite_subsets(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] : preboolean(finite_subsets(X0)),
file('/export/starexec/sandbox2/tmp/tmp.aUxtrxlnC4/Vampire---4.8_22311',dt_k5_finsub_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU114+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.16 % 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
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 16:19:26 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.aUxtrxlnC4/Vampire---4.8_22311
% 0.59/0.75 % (22529)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)
% 0.59/0.75 % (22528)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)
% 0.59/0.75 % (22522)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)
% 0.59/0.75 % (22529)Refutation not found, incomplete strategy% (22529)------------------------------
% 0.59/0.75 % (22529)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (22529)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (22529)Memory used [KB]: 1050
% 0.59/0.75 % (22529)Time elapsed: 0.002 s
% 0.59/0.75 % (22529)Instructions burned: 3 (million)
% 0.59/0.75 % (22529)------------------------------
% 0.59/0.75 % (22529)------------------------------
% 0.59/0.75 % (22525)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)
% 0.59/0.75 % (22526)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)
% 0.59/0.75 % (22523)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)
% 0.59/0.75 % (22527)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)
% 0.59/0.75 % (22524)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (22527)Refutation not found, incomplete strategy% (22527)------------------------------
% 0.59/0.75 % (22527)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (22527)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (22527)Memory used [KB]: 1036
% 0.59/0.75 % (22527)Time elapsed: 0.003 s
% 0.59/0.75 % (22527)Instructions burned: 3 (million)
% 0.59/0.75 % (22527)------------------------------
% 0.59/0.75 % (22527)------------------------------
% 0.59/0.75 % (22534)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)
% 0.59/0.75 % (22522)Refutation not found, incomplete strategy% (22522)------------------------------
% 0.59/0.75 % (22522)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (22522)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (22522)Memory used [KB]: 1068
% 0.59/0.75 % (22522)Time elapsed: 0.004 s
% 0.59/0.75 % (22522)Instructions burned: 5 (million)
% 0.59/0.75 % (22522)------------------------------
% 0.59/0.75 % (22522)------------------------------
% 0.59/0.76 % (22536)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)
% 0.59/0.76 % (22538)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.59/0.76 % (22528)First to succeed.
% 0.59/0.76 % (22528)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (22528)------------------------------
% 0.59/0.76 % (22528)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (22528)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (22528)Memory used [KB]: 1573
% 0.59/0.76 % (22528)Time elapsed: 0.014 s
% 0.59/0.76 % (22528)Instructions burned: 38 (million)
% 0.59/0.76 % (22528)------------------------------
% 0.59/0.76 % (22528)------------------------------
% 0.59/0.76 % (22479)Success in time 0.381 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------