TSTP Solution File: SEU320+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU320+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 : n015.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 03:51:52 EDT 2024
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 48 ( 5 unt; 0 def)
% Number of atoms : 163 ( 3 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 188 ( 73 ~; 74 |; 22 &)
% ( 8 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 38 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f93,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f56,f85,f88,f90,f92]) ).
fof(f92,plain,
( ~ spl4_3
| ~ spl4_4
| spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f91,f52,f48,f82,f78]) ).
fof(f78,plain,
( spl4_3
<=> element(sK3,powerset(the_carrier(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f82,plain,
( spl4_4
<=> top_str(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f48,plain,
( spl4_1
<=> open_subset(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f52,plain,
( spl4_2
<=> closed_subset(subset_complement(the_carrier(sK2),sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f91,plain,
( open_subset(sK3,sK2)
| ~ top_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| ~ spl4_2 ),
inference(resolution,[],[f53,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(resolution,[],[f58,f35]) ).
fof(f35,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( element(subset_complement(X0,X1),powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> element(subset_complement(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.DzNWkXMQSy/Vampire---4.8_6049',dt_k3_subset_1) ).
fof(f58,plain,
! [X0,X1] :
( ~ element(subset_complement(the_carrier(X0),X1),powerset(the_carrier(X0)))
| ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(superposition,[],[f40,f38]) ).
fof(f38,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.DzNWkXMQSy/Vampire---4.8_6049',involutiveness_k3_subset_1) ).
fof(f40,plain,
! [X0,X1] :
( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( ( closed_subset(X1,X0)
| ~ open_subset(subset_complement(the_carrier(X0),X1),X0) )
& ( open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ closed_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ! [X1] :
( ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( closed_subset(X1,X0)
<=> open_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DzNWkXMQSy/Vampire---4.8_6049',t29_tops_1) ).
fof(f53,plain,
( closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f90,plain,
spl4_4,
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f89,plain,
( $false
| spl4_4 ),
inference(resolution,[],[f84,f42]) ).
fof(f42,plain,
top_str(sK2),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ( ~ closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| ~ open_subset(sK3,sK2) )
& ( closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| open_subset(sK3,sK2) )
& element(sK3,powerset(the_carrier(sK2)))
& top_str(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f31,f33,f32]) ).
fof(f32,plain,
( ? [X0] :
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) )
=> ( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(sK2),X1),sK2)
| ~ open_subset(X1,sK2) )
& ( closed_subset(subset_complement(the_carrier(sK2),X1),sK2)
| open_subset(X1,sK2) )
& element(X1,powerset(the_carrier(sK2))) )
& top_str(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(sK2),X1),sK2)
| ~ open_subset(X1,sK2) )
& ( closed_subset(subset_complement(the_carrier(sK2),X1),sK2)
| open_subset(X1,sK2) )
& element(X1,powerset(the_carrier(sK2))) )
=> ( ( ~ closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| ~ open_subset(sK3,sK2) )
& ( closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| open_subset(sK3,sK2) )
& element(sK3,powerset(the_carrier(sK2))) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
? [X0] :
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
? [X0] :
( ? [X1] :
( ( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0) )
& ( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| open_subset(X1,X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
? [X0] :
( ? [X1] :
( ( open_subset(X1,X0)
<~> closed_subset(subset_complement(the_carrier(X0),X1),X0) )
& element(X1,powerset(the_carrier(X0))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( open_subset(X1,X0)
<=> closed_subset(subset_complement(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.DzNWkXMQSy/Vampire---4.8_6049',t30_tops_1) ).
fof(f84,plain,
( ~ top_str(sK2)
| spl4_4 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f88,plain,
spl4_3,
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| spl4_3 ),
inference(resolution,[],[f80,f43]) ).
fof(f43,plain,
element(sK3,powerset(the_carrier(sK2))),
inference(cnf_transformation,[],[f34]) ).
fof(f80,plain,
( ~ element(sK3,powerset(the_carrier(sK2)))
| spl4_3 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f85,plain,
( ~ spl4_3
| ~ spl4_4
| ~ spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f73,f52,f48,f82,f78]) ).
fof(f73,plain,
( ~ open_subset(sK3,sK2)
| ~ top_str(sK2)
| ~ element(sK3,powerset(the_carrier(sK2)))
| spl4_2 ),
inference(resolution,[],[f72,f54]) ).
fof(f54,plain,
( ~ closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f72,plain,
! [X0,X1] :
( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(resolution,[],[f60,f35]) ).
fof(f60,plain,
! [X0,X1] :
( ~ element(subset_complement(the_carrier(X0),X1),powerset(the_carrier(X0)))
| closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ open_subset(X1,X0)
| ~ top_str(X0)
| ~ element(X1,powerset(the_carrier(X0))) ),
inference(superposition,[],[f41,f38]) ).
fof(f41,plain,
! [X0,X1] :
( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| closed_subset(X1,X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f56,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f44,f52,f48]) ).
fof(f44,plain,
( closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| open_subset(sK3,sK2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f45,f52,f48]) ).
fof(f45,plain,
( ~ closed_subset(subset_complement(the_carrier(sK2),sK3),sK2)
| ~ open_subset(sK3,sK2) ),
inference(cnf_transformation,[],[f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.11 % 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
% 0.10/0.30 % Computer : n015.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 16:38:18 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.DzNWkXMQSy/Vampire---4.8_6049
% 0.61/0.78 % (6164)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)
% 0.61/0.78 % (6161)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)
% 0.61/0.78 % (6163)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.78 % (6165)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)
% 0.61/0.78 % (6162)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)
% 0.61/0.78 % (6166)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)
% 0.61/0.78 % (6167)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)
% 0.61/0.78 % (6168)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)
% 0.61/0.78 % (6166)Refutation not found, incomplete strategy% (6166)------------------------------
% 0.61/0.78 % (6166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (6166)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (6166)Memory used [KB]: 952
% 0.61/0.78 % (6161)Refutation not found, incomplete strategy% (6161)------------------------------
% 0.61/0.78 % (6161)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (6161)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (6161)Memory used [KB]: 957
% 0.61/0.78 % (6161)Time elapsed: 0.003 s
% 0.61/0.78 % (6161)Instructions burned: 2 (million)
% 0.61/0.78 % (6161)------------------------------
% 0.61/0.78 % (6161)------------------------------
% 0.61/0.78 % (6166)Time elapsed: 0.003 s
% 0.61/0.78 % (6166)Instructions burned: 2 (million)
% 0.61/0.78 % (6166)------------------------------
% 0.61/0.78 % (6166)------------------------------
% 0.61/0.78 % (6165)Refutation not found, incomplete strategy% (6165)------------------------------
% 0.61/0.78 % (6165)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (6165)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78 % (6168)Refutation not found, incomplete strategy% (6168)------------------------------
% 0.61/0.78 % (6168)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78
% 0.61/0.78 % (6168)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (6165)Memory used [KB]: 961
% 0.61/0.78 % (6165)Time elapsed: 0.003 s
% 0.61/0.78 % (6168)Memory used [KB]: 952
% 0.61/0.78 % (6165)Instructions burned: 2 (million)
% 0.61/0.78 % (6168)Time elapsed: 0.002 s
% 0.61/0.78 % (6165)------------------------------
% 0.61/0.78 % (6165)------------------------------
% 0.61/0.78 % (6168)Instructions burned: 2 (million)
% 0.61/0.78 % (6168)------------------------------
% 0.61/0.78 % (6168)------------------------------
% 0.61/0.78 % (6162)First to succeed.
% 0.61/0.79 % (6163)Also succeeded, but the first one will report.
% 0.61/0.79 % (6162)Refutation found. Thanks to Tanya!
% 0.61/0.79 % SZS status Theorem for Vampire---4
% 0.61/0.79 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.79 % (6162)------------------------------
% 0.61/0.79 % (6162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (6162)Termination reason: Refutation
% 0.61/0.79
% 0.61/0.79 % (6162)Memory used [KB]: 1001
% 0.61/0.79 % (6162)Time elapsed: 0.005 s
% 0.61/0.79 % (6162)Instructions burned: 5 (million)
% 0.61/0.79 % (6162)------------------------------
% 0.61/0.79 % (6162)------------------------------
% 0.61/0.79 % (6156)Success in time 0.475 s
% 0.61/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------