TSTP Solution File: SET159+4 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.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 03:45:28 EDT 2024
% Result : Theorem 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 66 ( 6 unt; 0 def)
% Number of atoms : 148 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 130 ( 48 ~; 63 |; 3 &)
% ( 12 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 9 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 52 ( 48 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f221,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f67,f89,f124,f139,f172,f174,f175,f220]) ).
fof(f220,plain,
( spl4_1
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f219]) ).
fof(f219,plain,
( $false
| spl4_1
| ~ spl4_4 ),
inference(subsumption_resolution,[],[f215,f51]) ).
fof(f51,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl4_4
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f215,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2)
| spl4_1 ),
inference(resolution,[],[f167,f25]) ).
fof(f25,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( member(X0,union(X1,X2))
<=> ( member(X0,X2)
| member(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( member(X2,union(X0,X1))
<=> ( member(X2,X1)
| member(X2,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.FBK3mQ0qji/Vampire---4.8_21414',union) ).
fof(f167,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK1,sK2))
| spl4_1 ),
inference(resolution,[],[f126,f25]) ).
fof(f126,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,union(sK1,sK2)))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f33,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ member(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ! [X2] :
( member(X2,X0)
=> member(X2,X1) )
=> subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.FBK3mQ0qji/Vampire---4.8_21414',subset) ).
fof(f33,plain,
( ~ subset(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2)))
| spl4_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl4_1
<=> subset(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f175,plain,
( spl4_3
| spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f142,f31,f49,f45]) ).
fof(f45,plain,
( spl4_3
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f142,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK2)
| member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,sK1))
| spl4_1 ),
inference(resolution,[],[f125,f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X2)
| member(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f125,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(union(sK0,sK1),sK2))
| spl4_1 ),
inference(unit_resulting_resolution,[],[f33,f27]) ).
fof(f27,plain,
! [X0,X1] :
( member(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f174,plain,
( spl4_1
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| spl4_1
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f167,f143]) ).
fof(f143,plain,
( ! [X0] : member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK1,X0))
| ~ spl4_8 ),
inference(unit_resulting_resolution,[],[f138,f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( member(X0,union(X1,X2))
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f138,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK1)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl4_8
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f172,plain,
( ~ spl4_7
| spl4_1 ),
inference(avatar_split_clause,[],[f166,f31,f132]) ).
fof(f132,plain,
( spl4_7
<=> member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f166,plain,
( ~ member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK0)
| spl4_1 ),
inference(resolution,[],[f126,f24]) ).
fof(f139,plain,
( spl4_7
| spl4_8
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f130,f45,f136,f132]) ).
fof(f130,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK1)
| member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),sK0)
| ~ spl4_3 ),
inference(resolution,[],[f47,f23]) ).
fof(f47,plain,
( member(sK3(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),union(sK0,sK1))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f124,plain,
( spl4_2
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| spl4_2
| ~ spl4_6 ),
inference(subsumption_resolution,[],[f119,f101]) ).
fof(f101,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK1)
| spl4_2
| ~ spl4_6 ),
inference(unit_resulting_resolution,[],[f78,f66,f23]) ).
fof(f66,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK1,sK2))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl4_6
<=> member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f78,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK2)
| spl4_2 ),
inference(unit_resulting_resolution,[],[f55,f25]) ).
fof(f55,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(union(sK0,sK1),sK2))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f37,f28]) ).
fof(f37,plain,
( ~ subset(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f35,plain,
( spl4_2
<=> subset(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f119,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK1)
| spl4_2 ),
inference(resolution,[],[f83,f25]) ).
fof(f83,plain,
( ~ member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK0,sK1))
| spl4_2 ),
inference(resolution,[],[f55,f24]) ).
fof(f89,plain,
( spl4_2
| ~ spl4_5 ),
inference(avatar_contradiction_clause,[],[f88]) ).
fof(f88,plain,
( $false
| spl4_2
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f83,f68]) ).
fof(f68,plain,
( ! [X0] : member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK0,X0))
| ~ spl4_5 ),
inference(unit_resulting_resolution,[],[f62,f24]) ).
fof(f62,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK0)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl4_5
<=> member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f67,plain,
( spl4_5
| spl4_6
| spl4_2 ),
inference(avatar_split_clause,[],[f58,f35,f64,f60]) ).
fof(f58,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK1,sK2))
| member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),sK0)
| spl4_2 ),
inference(resolution,[],[f54,f23]) ).
fof(f54,plain,
( member(sK3(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2)),union(sK0,union(sK1,sK2)))
| spl4_2 ),
inference(unit_resulting_resolution,[],[f37,f27]) ).
fof(f38,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f29,f35,f31]) ).
fof(f29,plain,
( ~ subset(union(sK0,union(sK1,sK2)),union(union(sK0,sK1),sK2))
| ~ subset(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))) ),
inference(resolution,[],[f22,f26]) ).
fof(f26,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(flattening,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( equal_set(X0,X1)
| ~ subset(X1,X0)
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( ( subset(X1,X0)
& subset(X0,X1) )
=> equal_set(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( equal_set(X0,X1)
<=> ( subset(X1,X0)
& subset(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.FBK3mQ0qji/Vampire---4.8_21414',equal_set) ).
fof(f22,plain,
~ equal_set(union(union(sK0,sK1),sK2),union(sK0,union(sK1,sK2))),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2] : ~ equal_set(union(union(X0,X1),X2),union(X0,union(X1,X2))),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2] : equal_set(union(union(X0,X1),X2),union(X0,union(X1,X2))),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X5] : equal_set(union(union(X0,X1),X5),union(X0,union(X1,X5))),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X5] : equal_set(union(union(X0,X1),X5),union(X0,union(X1,X5))),
file('/export/starexec/sandbox/tmp/tmp.FBK3mQ0qji/Vampire---4.8_21414',thI09) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET159+4 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.14 % 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
% 0.14/0.35 % Computer : n027.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 : Tue Apr 30 17:47:48 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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.FBK3mQ0qji/Vampire---4.8_21414
% 0.56/0.73 % (21662)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)
% 0.56/0.73 % (21656)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)
% 0.56/0.73 % (21657)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)
% 0.56/0.73 % (21658)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73 % (21659)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)
% 0.56/0.73 % (21660)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)
% 0.56/0.73 % (21661)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)
% 0.56/0.73 % (21656)Refutation not found, incomplete strategy% (21656)------------------------------
% 0.56/0.73 % (21656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (21656)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (21656)Memory used [KB]: 972
% 0.56/0.73 % (21656)Time elapsed: 0.002 s
% 0.56/0.73 % (21656)Instructions burned: 2 (million)
% 0.56/0.73 % (21656)------------------------------
% 0.56/0.73 % (21656)------------------------------
% 0.56/0.73 % (21659)Refutation not found, incomplete strategy% (21659)------------------------------
% 0.56/0.73 % (21659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (21659)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (21659)Memory used [KB]: 972
% 0.56/0.73 % (21659)Time elapsed: 0.002 s
% 0.56/0.73 % (21659)Instructions burned: 2 (million)
% 0.56/0.73 % (21659)------------------------------
% 0.56/0.73 % (21659)------------------------------
% 0.56/0.73 % (21661)Refutation not found, incomplete strategy% (21661)------------------------------
% 0.56/0.73 % (21661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (21661)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (21661)Memory used [KB]: 964
% 0.56/0.73 % (21661)Time elapsed: 0.003 s
% 0.56/0.73 % (21662)First to succeed.
% 0.56/0.73 % (21661)Instructions burned: 2 (million)
% 0.56/0.73 % (21661)------------------------------
% 0.56/0.73 % (21661)------------------------------
% 0.56/0.73 % (21660)Refutation not found, incomplete strategy% (21660)------------------------------
% 0.56/0.73 % (21660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (21660)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.73
% 0.56/0.73 % (21660)Memory used [KB]: 1036
% 0.56/0.73 % (21660)Time elapsed: 0.003 s
% 0.56/0.73 % (21660)Instructions burned: 3 (million)
% 0.56/0.73 % (21660)------------------------------
% 0.56/0.73 % (21660)------------------------------
% 0.56/0.73 % (21662)Refutation found. Thanks to Tanya!
% 0.56/0.73 % SZS status Theorem for Vampire---4
% 0.56/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.73 % (21662)------------------------------
% 0.56/0.73 % (21662)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (21662)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (21662)Memory used [KB]: 1088
% 0.56/0.73 % (21662)Time elapsed: 0.004 s
% 0.56/0.73 % (21662)Instructions burned: 9 (million)
% 0.56/0.73 % (21662)------------------------------
% 0.56/0.73 % (21662)------------------------------
% 0.56/0.73 % (21652)Success in time 0.37 s
% 0.56/0.73 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.56/0.73 21652 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.FBK3mQ0qji/Vampire---4.8_21414
% 0.56/0.73 % (21652)------------------------------
% 0.56/0.73 % (21652)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.73 % (21652)Termination reason: Unknown
% 0.56/0.73 % (21652)Termination phase: Unknown
% 0.56/0.73
% 0.56/0.73 % (21652)Memory used [KB]: 449
% 0.56/0.73 % (21652)Time elapsed: 0.370 s
% 0.56/0.73 % (21652)Instructions burned: 952 (million)
% 0.56/0.73 % (21652)------------------------------
% 0.56/0.73 % (21652)------------------------------
% 0.56/0.73 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
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% 0.56/0.73 % Vampire---4.8 exiting
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