TSTP Solution File: SEU200+2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU200+2 : TPTP v8.1.2. Released v3.3.0.
% 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 09:20:57 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 6 unt; 0 def)
% Number of atoms : 125 ( 9 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 139 ( 56 ~; 52 |; 18 &)
% ( 4 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 51 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1815,plain,
$false,
inference(avatar_sat_refutation,[],[f1767,f1771,f1814]) ).
fof(f1814,plain,
spl61_2,
inference(avatar_contradiction_clause,[],[f1813]) ).
fof(f1813,plain,
( $false
| spl61_2 ),
inference(subsumption_resolution,[],[f1808,f1359]) ).
fof(f1359,plain,
! [X0] : in(relation_rng_restriction(X0,sK2),powerset(sK2)),
inference(resolution,[],[f1198,f546]) ).
fof(f546,plain,
relation(sK2),
inference(cnf_transformation,[],[f365]) ).
fof(f365,plain,
( ~ subset(relation_rng(relation_rng_restriction(sK1,sK2)),relation_rng(sK2))
& relation(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f218,f364]) ).
fof(f364,plain,
( ? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& relation(X1) )
=> ( ~ subset(relation_rng(relation_rng_restriction(sK1,sK2)),relation_rng(sK2))
& relation(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
? [X0,X1] :
( ~ subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1))
& relation(X1) ),
inference(ennf_transformation,[],[f116]) ).
fof(f116,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
inference(negated_conjecture,[],[f115]) ).
fof(f115,conjecture,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng(relation_rng_restriction(X0,X1)),relation_rng(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.wLZI77jGaQ/Vampire---4.8_1409',t118_relat_1) ).
fof(f1198,plain,
! [X0,X1] :
( ~ relation(X0)
| in(relation_rng_restriction(X1,X0),powerset(X0)) ),
inference(resolution,[],[f545,f964]) ).
fof(f964,plain,
! [X3,X0] :
( ~ subset(X3,X0)
| in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f690]) ).
fof(f690,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f423]) ).
fof(f423,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ( ( ~ subset(sK15(X0,X1),X0)
| ~ in(sK15(X0,X1),X1) )
& ( subset(sK15(X0,X1),X0)
| in(sK15(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f421,f422]) ).
fof(f422,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) )
=> ( ( ~ subset(sK15(X0,X1),X0)
| ~ in(sK15(X0,X1),X1) )
& ( subset(sK15(X0,X1),X0)
| in(sK15(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f421,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f420]) ).
fof(f420,plain,
! [X0,X1] :
( ( powerset(X0) = X1
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0,X1] :
( powerset(X0) = X1
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wLZI77jGaQ/Vampire---4.8_1409',d1_zfmisc_1) ).
fof(f545,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0,X1] :
( subset(relation_rng_restriction(X0,X1),X1)
| ~ relation(X1) ),
inference(ennf_transformation,[],[f114]) ).
fof(f114,axiom,
! [X0,X1] :
( relation(X1)
=> subset(relation_rng_restriction(X0,X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.wLZI77jGaQ/Vampire---4.8_1409',t117_relat_1) ).
fof(f1808,plain,
( ~ in(relation_rng_restriction(sK1,sK2),powerset(sK2))
| spl61_2 ),
inference(resolution,[],[f1766,f965]) ).
fof(f965,plain,
! [X3,X0] :
( subset(X3,X0)
| ~ in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f689]) ).
fof(f689,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f423]) ).
fof(f1766,plain,
( ~ subset(relation_rng_restriction(sK1,sK2),sK2)
| spl61_2 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f1764,plain,
( spl61_2
<=> subset(relation_rng_restriction(sK1,sK2),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_2])]) ).
fof(f1771,plain,
spl61_1,
inference(avatar_contradiction_clause,[],[f1770]) ).
fof(f1770,plain,
( $false
| spl61_1 ),
inference(subsumption_resolution,[],[f1768,f546]) ).
fof(f1768,plain,
( ~ relation(sK2)
| spl61_1 ),
inference(resolution,[],[f1762,f728]) ).
fof(f728,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f300]) ).
fof(f300,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.wLZI77jGaQ/Vampire---4.8_1409',dt_k8_relat_1) ).
fof(f1762,plain,
( ~ relation(relation_rng_restriction(sK1,sK2))
| spl61_1 ),
inference(avatar_component_clause,[],[f1760]) ).
fof(f1760,plain,
( spl61_1
<=> relation(relation_rng_restriction(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).
fof(f1767,plain,
( ~ spl61_1
| ~ spl61_2 ),
inference(avatar_split_clause,[],[f1758,f1764,f1760]) ).
fof(f1758,plain,
( ~ subset(relation_rng_restriction(sK1,sK2),sK2)
| ~ relation(relation_rng_restriction(sK1,sK2)) ),
inference(subsumption_resolution,[],[f1752,f546]) ).
fof(f1752,plain,
( ~ subset(relation_rng_restriction(sK1,sK2),sK2)
| ~ relation(sK2)
| ~ relation(relation_rng_restriction(sK1,sK2)) ),
inference(resolution,[],[f563,f547]) ).
fof(f547,plain,
~ subset(relation_rng(relation_rng_restriction(sK1,sK2)),relation_rng(sK2)),
inference(cnf_transformation,[],[f365]) ).
fof(f563,plain,
! [X0,X1] :
( subset(relation_rng(X0),relation_rng(X1))
| ~ subset(X0,X1)
| ~ relation(X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(flattening,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ! [X1] :
( ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) )
| ~ subset(X0,X1)
| ~ relation(X1) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f129,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( relation(X1)
=> ( subset(X0,X1)
=> ( subset(relation_rng(X0),relation_rng(X1))
& subset(relation_dom(X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.wLZI77jGaQ/Vampire---4.8_1409',t25_relat_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEU200+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 11:55:20 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.wLZI77jGaQ/Vampire---4.8_1409
% 0.58/0.75 % (1769)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)
% 0.58/0.75 % (1757)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)
% 0.58/0.75 % (1762)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.75 % (1765)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)
% 0.58/0.75 % (1758)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)
% 0.58/0.75 % (1766)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)
% 0.58/0.75 % (1767)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)
% 0.58/0.75 % (1768)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)
% 0.60/0.77 % (1765)Instruction limit reached!
% 0.60/0.77 % (1765)------------------------------
% 0.60/0.77 % (1765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (1765)Termination reason: Unknown
% 0.60/0.77 % (1765)Termination phase: Saturation
% 0.60/0.77 % (1769)First to succeed.
% 0.60/0.77
% 0.60/0.77 % (1765)Memory used [KB]: 1628
% 0.60/0.77 % (1765)Time elapsed: 0.019 s
% 0.60/0.77 % (1765)Instructions burned: 33 (million)
% 0.60/0.77 % (1765)------------------------------
% 0.60/0.77 % (1765)------------------------------
% 0.60/0.77 % (1769)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1595"
% 0.60/0.77 % (1757)Instruction limit reached!
% 0.60/0.77 % (1757)------------------------------
% 0.60/0.77 % (1757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (1757)Termination reason: Unknown
% 0.60/0.77 % (1757)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (1757)Memory used [KB]: 1670
% 0.60/0.77 % (1757)Time elapsed: 0.020 s
% 0.60/0.77 % (1757)Instructions burned: 34 (million)
% 0.60/0.77 % (1757)------------------------------
% 0.60/0.77 % (1757)------------------------------
% 0.60/0.77 % (1766)Instruction limit reached!
% 0.60/0.77 % (1766)------------------------------
% 0.60/0.77 % (1766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (1766)Termination reason: Unknown
% 0.60/0.77 % (1766)Termination phase: Saturation
% 0.60/0.77
% 0.60/0.77 % (1766)Memory used [KB]: 1837
% 0.60/0.77 % (1766)Time elapsed: 0.020 s
% 0.60/0.77 % (1766)Instructions burned: 34 (million)
% 0.60/0.77 % (1766)------------------------------
% 0.60/0.77 % (1766)------------------------------
% 0.60/0.77 % (1769)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (1769)------------------------------
% 0.60/0.77 % (1769)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (1769)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (1769)Memory used [KB]: 1836
% 0.60/0.77 % (1769)Time elapsed: 0.020 s
% 0.60/0.77 % (1769)Instructions burned: 58 (million)
% 0.60/0.77 % (1595)Success in time 0.392 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------