TSTP Solution File: SET143+4 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET143+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/sandbox2/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 03:45:23 EDT 2024
% Result : Theorem 0.62s 0.80s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of formulae : 65 ( 7 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 142 ( 52 ~; 62 |; 12 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 64 ( 56 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f58,f63,f67,f90,f93,f97]) ).
fof(f97,plain,
( spl4_2
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f96]) ).
fof(f96,plain,
( $false
| spl4_2
| spl4_7 ),
inference(subsumption_resolution,[],[f95,f79]) ).
fof(f79,plain,
( member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK0)
| spl4_2 ),
inference(resolution,[],[f77,f29]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) )
& ( ( member(X0,X2)
& member(X0,X1) )
| ~ member(X0,intersection(X1,X2)) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( member(X0,intersection(X1,X2))
<=> ( member(X0,X2)
& member(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.B0p2994W9J/Vampire---4.8_24677',intersection) ).
fof(f77,plain,
( member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),intersection(sK0,intersection(sK1,sK2)))
| spl4_2 ),
inference(resolution,[],[f43,f33]) ).
fof(f33,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK3(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( subset(X0,X1)
| ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f21,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK3(X0,X1),X1)
& member(sK3(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
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/sandbox2/tmp/tmp.B0p2994W9J/Vampire---4.8_24677',subset) ).
fof(f43,plain,
( ~ subset(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl4_2
<=> subset(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f95,plain,
( ~ member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK0)
| spl4_2
| spl4_7 ),
inference(subsumption_resolution,[],[f94,f91]) ).
fof(f91,plain,
( member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK1)
| spl4_2 ),
inference(resolution,[],[f80,f29]) ).
fof(f80,plain,
( member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),intersection(sK1,sK2))
| spl4_2 ),
inference(resolution,[],[f77,f30]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f94,plain,
( ~ member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK1)
| ~ member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK0)
| spl4_7 ),
inference(resolution,[],[f85,f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f85,plain,
( ~ member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),intersection(sK0,sK1))
| spl4_7 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl4_7
<=> member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),intersection(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f93,plain,
( spl4_8
| spl4_2 ),
inference(avatar_split_clause,[],[f92,f41,f87]) ).
fof(f87,plain,
( spl4_8
<=> member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f92,plain,
( member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK2)
| spl4_2 ),
inference(resolution,[],[f80,f30]) ).
fof(f90,plain,
( ~ spl4_7
| ~ spl4_8
| spl4_2 ),
inference(avatar_split_clause,[],[f81,f41,f87,f83]) ).
fof(f81,plain,
( ~ member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),sK2)
| ~ member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),intersection(sK0,sK1))
| spl4_2 ),
inference(resolution,[],[f78,f31]) ).
fof(f78,plain,
( ~ member(sK3(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2)),intersection(intersection(sK0,sK1),sK2))
| spl4_2 ),
inference(resolution,[],[f43,f34]) ).
fof(f34,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f67,plain,
( spl4_1
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f66,plain,
( $false
| spl4_1
| spl4_4 ),
inference(subsumption_resolution,[],[f65,f60]) ).
fof(f60,plain,
( member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK1)
| spl4_1 ),
inference(resolution,[],[f47,f30]) ).
fof(f47,plain,
( member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),intersection(sK0,sK1))
| spl4_1 ),
inference(resolution,[],[f45,f29]) ).
fof(f45,plain,
( member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),intersection(intersection(sK0,sK1),sK2))
| spl4_1 ),
inference(resolution,[],[f39,f33]) ).
fof(f39,plain,
( ~ subset(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2)))
| spl4_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl4_1
<=> subset(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f65,plain,
( ~ member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK1)
| spl4_1
| spl4_4 ),
inference(subsumption_resolution,[],[f64,f48]) ).
fof(f48,plain,
( member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK2)
| spl4_1 ),
inference(resolution,[],[f45,f30]) ).
fof(f64,plain,
( ~ member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK2)
| ~ member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK1)
| spl4_4 ),
inference(resolution,[],[f57,f31]) ).
fof(f57,plain,
( ~ member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),intersection(sK1,sK2))
| spl4_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl4_4
<=> member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),intersection(sK1,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f63,plain,
( spl4_3
| spl4_1 ),
inference(avatar_split_clause,[],[f59,f37,f51]) ).
fof(f51,plain,
( spl4_3
<=> member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f59,plain,
( member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK0)
| spl4_1 ),
inference(resolution,[],[f47,f29]) ).
fof(f58,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_1 ),
inference(avatar_split_clause,[],[f49,f37,f55,f51]) ).
fof(f49,plain,
( ~ member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),intersection(sK1,sK2))
| ~ member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),sK0)
| spl4_1 ),
inference(resolution,[],[f46,f31]) ).
fof(f46,plain,
( ~ member(sK3(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),intersection(sK0,intersection(sK1,sK2)))
| spl4_1 ),
inference(resolution,[],[f39,f34]) ).
fof(f44,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f35,plain,
( ~ subset(intersection(sK0,intersection(sK1,sK2)),intersection(intersection(sK0,sK1),sK2))
| ~ subset(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))) ),
inference(resolution,[],[f28,f32]) ).
fof(f32,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/sandbox2/tmp/tmp.B0p2994W9J/Vampire---4.8_24677',equal_set) ).
fof(f28,plain,
~ equal_set(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
~ equal_set(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f18,f22]) ).
fof(f22,plain,
( ? [X0,X1,X2] : ~ equal_set(intersection(intersection(X0,X1),X2),intersection(X0,intersection(X1,X2)))
=> ~ equal_set(intersection(intersection(sK0,sK1),sK2),intersection(sK0,intersection(sK1,sK2))) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2] : ~ equal_set(intersection(intersection(X0,X1),X2),intersection(X0,intersection(X1,X2))),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X1,X2] : equal_set(intersection(intersection(X0,X1),X2),intersection(X0,intersection(X1,X2))),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0,X1,X5] : equal_set(intersection(intersection(X0,X1),X5),intersection(X0,intersection(X1,X5))),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0,X1,X5] : equal_set(intersection(intersection(X0,X1),X5),intersection(X0,intersection(X1,X5))),
file('/export/starexec/sandbox2/tmp/tmp.B0p2994W9J/Vampire---4.8_24677',thI08) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET143+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.11 % 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
% 0.11/0.31 % Computer : n027.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 17:40:32 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.32 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.B0p2994W9J/Vampire---4.8_24677
% 0.62/0.80 % (24791)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (24793)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80 % (24788)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 (2995ds/34Mi)
% 0.62/0.80 % (24792)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 (2995ds/34Mi)
% 0.62/0.80 % (24790)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (24789)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 (2995ds/51Mi)
% 0.62/0.80 % (24794)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 (2995ds/83Mi)
% 0.62/0.80 % (24795)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 (2995ds/56Mi)
% 0.62/0.80 % (24788)Refutation not found, incomplete strategy% (24788)------------------------------
% 0.62/0.80 % (24788)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (24788)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (24788)Memory used [KB]: 973
% 0.62/0.80 % (24788)Time elapsed: 0.003 s
% 0.62/0.80 % (24788)Instructions burned: 2 (million)
% 0.62/0.80 % (24793)Refutation not found, incomplete strategy% (24793)------------------------------
% 0.62/0.80 % (24793)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (24788)------------------------------
% 0.62/0.80 % (24788)------------------------------
% 0.62/0.80 % (24793)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (24793)Memory used [KB]: 964
% 0.62/0.80 % (24793)Time elapsed: 0.003 s
% 0.62/0.80 % (24793)Instructions burned: 2 (million)
% 0.62/0.80 % (24793)------------------------------
% 0.62/0.80 % (24793)------------------------------
% 0.62/0.80 % (24792)Refutation not found, incomplete strategy% (24792)------------------------------
% 0.62/0.80 % (24792)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (24792)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (24792)Memory used [KB]: 1036
% 0.62/0.80 % (24792)Time elapsed: 0.003 s
% 0.62/0.80 % (24792)Instructions burned: 3 (million)
% 0.62/0.80 % (24792)------------------------------
% 0.62/0.80 % (24792)------------------------------
% 0.62/0.80 % (24795)First to succeed.
% 0.62/0.80 % (24791)Refutation not found, incomplete strategy% (24791)------------------------------
% 0.62/0.80 % (24791)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (24791)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (24791)Memory used [KB]: 972
% 0.62/0.80 % (24791)Time elapsed: 0.003 s
% 0.62/0.80 % (24791)Instructions burned: 2 (million)
% 0.62/0.80 % (24791)------------------------------
% 0.62/0.80 % (24791)------------------------------
% 0.62/0.80 % (24794)Also succeeded, but the first one will report.
% 0.62/0.80 % (24795)Refutation found. Thanks to Tanya!
% 0.62/0.80 % SZS status Theorem for Vampire---4
% 0.62/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80 % (24795)------------------------------
% 0.62/0.80 % (24795)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (24795)Termination reason: Refutation
% 0.62/0.80
% 0.62/0.80 % (24795)Memory used [KB]: 1068
% 0.62/0.80 % (24795)Time elapsed: 0.004 s
% 0.62/0.80 % (24795)Instructions burned: 5 (million)
% 0.62/0.80 % (24795)------------------------------
% 0.62/0.80 % (24795)------------------------------
% 0.62/0.80 % (24785)Success in time 0.481 s
% 0.62/0.80 % Vampire---4.8 exiting
%------------------------------------------------------------------------------