TSTP Solution File: SEU323+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU323+1 : 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 : n009.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 03:51:53 EDT 2024
% Result : Theorem 0.56s 0.76s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 36 ( 10 unt; 0 def)
% Number of atoms : 103 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 118 ( 51 ~; 43 |; 14 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 44 ( 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f207,plain,
$false,
inference(subsumption_resolution,[],[f206,f44]) ).
fof(f44,plain,
topological_space(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
? [X0] :
( ? [X1] :
( ~ open_subset(interior(X0,X1),X0)
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0)
& topological_space(X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
? [X0] :
( ? [X1] :
( ~ open_subset(interior(X0,X1),X0)
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0)
& topological_space(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,negated_conjecture,
~ ! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> open_subset(interior(X0,X1),X0) ) ),
inference(negated_conjecture,[],[f21]) ).
fof(f21,conjecture,
! [X0] :
( ( top_str(X0)
& topological_space(X0) )
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> open_subset(interior(X0,X1),X0) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KWqvKi0Egn/Vampire---4.8_26700',t51_tops_1) ).
fof(f206,plain,
~ topological_space(sK0),
inference(subsumption_resolution,[],[f205,f116]) ).
fof(f116,plain,
element(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),powerset(the_carrier(sK0))),
inference(unit_resulting_resolution,[],[f45,f73,f59]) ).
fof(f59,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( element(topstr_closure(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0) )
=> element(topstr_closure(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/tmp/tmp.KWqvKi0Egn/Vampire---4.8_26700',dt_k6_pre_topc) ).
fof(f73,plain,
element(subset_complement(the_carrier(sK0),sK1),powerset(the_carrier(sK0))),
inference(unit_resulting_resolution,[],[f42,f56]) ).
fof(f56,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.KWqvKi0Egn/Vampire---4.8_26700',dt_k3_subset_1) ).
fof(f42,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f24]) ).
fof(f45,plain,
top_str(sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f205,plain,
( ~ element(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),powerset(the_carrier(sK0)))
| ~ topological_space(sK0) ),
inference(subsumption_resolution,[],[f204,f117]) ).
fof(f117,plain,
closed_subset(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),sK0),
inference(unit_resulting_resolution,[],[f45,f44,f73,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0)
| closed_subset(topstr_closure(X0,X1),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( closed_subset(topstr_closure(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( closed_subset(topstr_closure(X0,X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& top_str(X0)
& topological_space(X0) )
=> closed_subset(topstr_closure(X0,X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.KWqvKi0Egn/Vampire---4.8_26700',fc2_tops_1) ).
fof(f204,plain,
( ~ closed_subset(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),sK0)
| ~ element(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),powerset(the_carrier(sK0)))
| ~ topological_space(sK0) ),
inference(subsumption_resolution,[],[f203,f45]) ).
fof(f203,plain,
( ~ top_str(sK0)
| ~ closed_subset(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),sK0)
| ~ element(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),powerset(the_carrier(sK0)))
| ~ topological_space(sK0) ),
inference(subsumption_resolution,[],[f200,f43]) ).
fof(f43,plain,
~ open_subset(interior(sK0,sK1),sK0),
inference(cnf_transformation,[],[f24]) ).
fof(f200,plain,
( open_subset(interior(sK0,sK1),sK0)
| ~ top_str(sK0)
| ~ closed_subset(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),sK0)
| ~ element(topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1)),powerset(the_carrier(sK0)))
| ~ topological_space(sK0) ),
inference(superposition,[],[f51,f71]) ).
fof(f71,plain,
interior(sK0,sK1) = subset_complement(the_carrier(sK0),topstr_closure(sK0,subset_complement(the_carrier(sK0),sK1))),
inference(unit_resulting_resolution,[],[f45,f42,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1)))
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> interior(X0,X1) = subset_complement(the_carrier(X0),topstr_closure(X0,subset_complement(the_carrier(X0),X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KWqvKi0Egn/Vampire---4.8_26700',d1_tops_1) ).
fof(f51,plain,
! [X0,X1] :
( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ top_str(X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ topological_space(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ closed_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ closed_subset(X1,X0)
| ~ top_str(X0)
| ~ topological_space(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( element(X1,powerset(the_carrier(X0)))
& closed_subset(X1,X0)
& top_str(X0)
& topological_space(X0) )
=> open_subset(subset_complement(the_carrier(X0),X1),X0) ),
file('/export/starexec/sandbox2/tmp/tmp.KWqvKi0Egn/Vampire---4.8_26700',fc3_tops_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.14 % 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
% 0.15/0.35 % Computer : n009.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 : Tue Apr 30 16:12:11 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.KWqvKi0Egn/Vampire---4.8_26700
% 0.56/0.75 % (27107)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)
% 0.56/0.75 % (27107)Refutation not found, incomplete strategy% (27107)------------------------------
% 0.56/0.75 % (27107)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (27107)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (27107)Memory used [KB]: 958
% 0.56/0.75 % (27107)Time elapsed: 0.002 s
% 0.56/0.75 % (27107)Instructions burned: 2 (million)
% 0.56/0.75 % (27107)------------------------------
% 0.56/0.75 % (27107)------------------------------
% 0.56/0.75 % (27100)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)
% 0.56/0.75 % (27101)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)
% 0.56/0.75 % (27102)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (27104)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)
% 0.56/0.75 % (27105)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)
% 0.56/0.75 % (27103)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)
% 0.56/0.75 % (27106)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)
% 0.56/0.75 % (27105)Refutation not found, incomplete strategy% (27105)------------------------------
% 0.56/0.75 % (27105)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (27105)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (27105)Memory used [KB]: 956
% 0.56/0.75 % (27105)Time elapsed: 0.002 s
% 0.56/0.75 % (27105)Instructions burned: 2 (million)
% 0.56/0.75 % (27105)------------------------------
% 0.56/0.75 % (27105)------------------------------
% 0.56/0.75 % (27100)Refutation not found, incomplete strategy% (27100)------------------------------
% 0.56/0.75 % (27100)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (27100)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (27100)Memory used [KB]: 968
% 0.56/0.75 % (27100)Time elapsed: 0.003 s
% 0.56/0.75 % (27100)Instructions burned: 3 (million)
% 0.56/0.75 % (27100)------------------------------
% 0.56/0.75 % (27100)------------------------------
% 0.56/0.75 % (27104)Refutation not found, incomplete strategy% (27104)------------------------------
% 0.56/0.75 % (27104)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.75 % (27104)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (27104)Memory used [KB]: 1031
% 0.56/0.75 % (27104)Time elapsed: 0.003 s
% 0.56/0.75 % (27104)Instructions burned: 3 (million)
% 0.56/0.75 % (27104)------------------------------
% 0.56/0.75 % (27104)------------------------------
% 0.56/0.75 % (27108)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)
% 0.56/0.76 % (27106)First to succeed.
% 0.56/0.76 % (27109)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)
% 0.56/0.76 % (27102)Also succeeded, but the first one will report.
% 0.56/0.76 % (27110)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)
% 0.56/0.76 % (27111)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.76 % (27106)Refutation found. Thanks to Tanya!
% 0.56/0.76 % SZS status Theorem for Vampire---4
% 0.56/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (27106)------------------------------
% 0.56/0.76 % (27106)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76 % (27106)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (27106)Memory used [KB]: 1064
% 0.56/0.76 % (27106)Time elapsed: 0.007 s
% 0.56/0.76 % (27106)Instructions burned: 9 (million)
% 0.56/0.76 % (27106)------------------------------
% 0.56/0.76 % (27106)------------------------------
% 0.56/0.76 % (26951)Success in time 0.391 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------