TSTP Solution File: SEU337+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU337+1 : TPTP v8.2.0. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n017.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 : Tue May 21 03:47:04 EDT 2024
% Result : Theorem 0.59s 0.79s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 96 ( 5 unt; 0 def)
% Number of atoms : 309 ( 7 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 361 ( 148 ~; 166 |; 3 &)
% ( 21 <=>; 22 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 110 ( 108 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1415,plain,
$false,
inference(avatar_sat_refutation,[],[f124,f125,f953,f959,f1333,f1362,f1414]) ).
fof(f1414,plain,
( spl10_1
| spl10_48
| ~ spl10_49
| ~ spl10_76 ),
inference(avatar_contradiction_clause,[],[f1413]) ).
fof(f1413,plain,
( $false
| spl10_1
| spl10_48
| ~ spl10_49
| ~ spl10_76 ),
inference(subsumption_resolution,[],[f1410,f1371]) ).
fof(f1371,plain,
( in(subset_complement(the_carrier(sK0),sK5(sK0,sK1)),complements_of_subsets(the_carrier(sK0),sK1))
| ~ spl10_49 ),
inference(unit_resulting_resolution,[],[f958,f364]) ).
fof(f364,plain,
! [X0] :
( in(subset_complement(the_carrier(sK0),X0),complements_of_subsets(the_carrier(sK0),sK1))
| ~ in(X0,sK1) ),
inference(subsumption_resolution,[],[f363,f142]) ).
fof(f142,plain,
! [X0] :
( element(X0,powerset(the_carrier(sK0)))
| ~ in(X0,sK1) ),
inference(resolution,[],[f75,f98]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f75,plain,
element(sK1,powerset(powerset(the_carrier(sK0)))),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
? [X0] :
( ? [X1] :
( ( open_subsets(X1,X0)
<~> closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0) )
& element(X1,powerset(powerset(the_carrier(X0)))) )
& top_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,negated_conjecture,
~ ! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0) ) ) ),
inference(negated_conjecture,[],[f39]) ).
fof(f39,conjecture,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> closed_subsets(complements_of_subsets(the_carrier(X0),X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_tops_2) ).
fof(f363,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK0)))
| in(subset_complement(the_carrier(sK0),X0),complements_of_subsets(the_carrier(sK0),sK1))
| ~ in(X0,sK1) ),
inference(subsumption_resolution,[],[f362,f130]) ).
fof(f130,plain,
element(complements_of_subsets(the_carrier(sK0),sK1),powerset(powerset(the_carrier(sK0)))),
inference(unit_resulting_resolution,[],[f75,f78]) ).
fof(f78,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(f362,plain,
! [X0] :
( ~ element(complements_of_subsets(the_carrier(sK0),sK1),powerset(powerset(the_carrier(sK0))))
| ~ element(X0,powerset(the_carrier(sK0)))
| in(subset_complement(the_carrier(sK0),X0),complements_of_subsets(the_carrier(sK0),sK1))
| ~ in(X0,sK1) ),
inference(subsumption_resolution,[],[f358,f75]) ).
fof(f358,plain,
! [X0] :
( ~ element(sK1,powerset(powerset(the_carrier(sK0))))
| ~ element(complements_of_subsets(the_carrier(sK0),sK1),powerset(powerset(the_carrier(sK0))))
| ~ element(X0,powerset(the_carrier(sK0)))
| in(subset_complement(the_carrier(sK0),X0),complements_of_subsets(the_carrier(sK0),sK1))
| ~ in(X0,sK1) ),
inference(superposition,[],[f112,f129]) ).
fof(f129,plain,
sK1 = complements_of_subsets(the_carrier(sK0),complements_of_subsets(the_carrier(sK0),sK1)),
inference(unit_resulting_resolution,[],[f75,f77]) ).
fof(f77,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(f112,plain,
! [X3,X0,X1] :
( ~ element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0)))
| ~ element(X3,powerset(X0))
| in(subset_complement(X0,X3),X1)
| ~ in(X3,complements_of_subsets(X0,X1)) ),
inference(equality_resolution,[],[f82]) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| ~ element(X2,powerset(powerset(X0)))
| ~ element(X3,powerset(X0))
| in(subset_complement(X0,X3),X1)
| ~ in(X3,X2)
| complements_of_subsets(X0,X1) != X2 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ! [X2] :
( ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) )
| ~ element(X3,powerset(X0)) ) )
| ~ element(X2,powerset(powerset(X0))) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ! [X2] :
( element(X2,powerset(powerset(X0)))
=> ( complements_of_subsets(X0,X1) = X2
<=> ! [X3] :
( element(X3,powerset(X0))
=> ( in(X3,X2)
<=> in(subset_complement(X0,X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_setfam_1) ).
fof(f958,plain,
( in(sK5(sK0,sK1),sK1)
| ~ spl10_49 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f956,plain,
( spl10_49
<=> in(sK5(sK0,sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_49])]) ).
fof(f1410,plain,
( ~ in(subset_complement(the_carrier(sK0),sK5(sK0,sK1)),complements_of_subsets(the_carrier(sK0),sK1))
| spl10_1
| spl10_48
| ~ spl10_76 ),
inference(unit_resulting_resolution,[],[f1385,f1361]) ).
fof(f1361,plain,
( ! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK0),sK1))
| closed_subset(X0,sK0) )
| ~ spl10_76 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f1360,plain,
( spl10_76
<=> ! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK0),sK1))
| closed_subset(X0,sK0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_76])]) ).
fof(f1385,plain,
( ~ closed_subset(subset_complement(the_carrier(sK0),sK5(sK0,sK1)),sK0)
| spl10_1
| spl10_48 ),
inference(unit_resulting_resolution,[],[f76,f952,f1363,f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ closed_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| open_subset(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,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,[],[f44]) ).
fof(f44,axiom,
! [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/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).
fof(f1363,plain,
( element(sK5(sK0,sK1),powerset(the_carrier(sK0)))
| spl10_1 ),
inference(unit_resulting_resolution,[],[f76,f75,f119,f87]) ).
fof(f87,plain,
! [X0,X1] :
( element(sK5(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| open_subsets(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( open_subsets(X1,X0)
<=> ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( open_subsets(X1,X0)
<=> ! [X2] :
( open_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( open_subsets(X1,X0)
<=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X2,X1)
=> open_subset(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tops_2) ).
fof(f119,plain,
( ~ open_subsets(sK1,sK0)
| spl10_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl10_1
<=> open_subsets(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f952,plain,
( ~ open_subset(sK5(sK0,sK1),sK0)
| spl10_48 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl10_48
<=> open_subset(sK5(sK0,sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_48])]) ).
fof(f76,plain,
top_str(sK0),
inference(cnf_transformation,[],[f51]) ).
fof(f1362,plain,
( ~ spl10_2
| spl10_76 ),
inference(avatar_split_clause,[],[f966,f1360,f121]) ).
fof(f121,plain,
( spl10_2
<=> closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f966,plain,
! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK0),sK1))
| closed_subset(X0,sK0)
| ~ closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
inference(subsumption_resolution,[],[f402,f395]) ).
fof(f395,plain,
! [X0] :
( ~ in(X0,complements_of_subsets(the_carrier(sK0),sK1))
| element(X0,powerset(the_carrier(sK0))) ),
inference(resolution,[],[f130,f98]) ).
fof(f402,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK0)))
| ~ in(X0,complements_of_subsets(the_carrier(sK0),sK1))
| closed_subset(X0,sK0)
| ~ closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
inference(subsumption_resolution,[],[f387,f76]) ).
fof(f387,plain,
! [X0] :
( ~ top_str(sK0)
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ in(X0,complements_of_subsets(the_carrier(sK0),sK1))
| closed_subset(X0,sK0)
| ~ closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
inference(resolution,[],[f130,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X2,X1)
| closed_subset(X2,X0)
| ~ closed_subsets(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ( closed_subsets(X1,X0)
<=> ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( closed_subsets(X1,X0)
<=> ! [X2] :
( closed_subset(X2,X0)
| ~ in(X2,X1)
| ~ element(X2,powerset(the_carrier(X0))) ) )
| ~ element(X1,powerset(powerset(the_carrier(X0)))) )
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( top_str(X0)
=> ! [X1] :
( element(X1,powerset(powerset(the_carrier(X0))))
=> ( closed_subsets(X1,X0)
<=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( in(X2,X1)
=> closed_subset(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tops_2) ).
fof(f1333,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_contradiction_clause,[],[f1332]) ).
fof(f1332,plain,
( $false
| ~ spl10_1
| spl10_2 ),
inference(subsumption_resolution,[],[f1330,f1080]) ).
fof(f1080,plain,
( in(subset_complement(the_carrier(sK0),sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1))),sK1)
| spl10_2 ),
inference(unit_resulting_resolution,[],[f75,f130,f1004,f996,f112]) ).
fof(f996,plain,
( in(sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1)),complements_of_subsets(the_carrier(sK0),sK1))
| spl10_2 ),
inference(subsumption_resolution,[],[f963,f123]) ).
fof(f123,plain,
( ~ closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0)
| spl10_2 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f963,plain,
( in(sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1)),complements_of_subsets(the_carrier(sK0),sK1))
| closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
inference(subsumption_resolution,[],[f388,f76]) ).
fof(f388,plain,
( ~ top_str(sK0)
| in(sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1)),complements_of_subsets(the_carrier(sK0),sK1))
| closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
inference(resolution,[],[f130,f92]) ).
fof(f92,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| in(sK6(X0,X1),X1)
| closed_subsets(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1004,plain,
( element(sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1)),powerset(the_carrier(sK0)))
| spl10_2 ),
inference(unit_resulting_resolution,[],[f76,f130,f123,f91]) ).
fof(f91,plain,
! [X0,X1] :
( element(sK6(X0,X1),powerset(the_carrier(X0)))
| ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| closed_subsets(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1330,plain,
( ~ in(subset_complement(the_carrier(sK0),sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1))),sK1)
| ~ spl10_1
| spl10_2 ),
inference(unit_resulting_resolution,[],[f997,f1004,f1010]) ).
fof(f1010,plain,
( ! [X0] :
( ~ in(subset_complement(the_carrier(sK0),X0),sK1)
| ~ element(X0,powerset(the_carrier(sK0)))
| closed_subset(X0,sK0) )
| ~ spl10_1 ),
inference(subsumption_resolution,[],[f1008,f76]) ).
fof(f1008,plain,
( ! [X0] :
( ~ in(subset_complement(the_carrier(sK0),X0),sK1)
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ top_str(sK0)
| closed_subset(X0,sK0) )
| ~ spl10_1 ),
inference(resolution,[],[f1000,f105]) ).
fof(f105,plain,
! [X0,X1] :
( ~ open_subset(subset_complement(the_carrier(X0),X1),X0)
| ~ element(X1,powerset(the_carrier(X0)))
| ~ top_str(X0)
| closed_subset(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,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,[],[f42]) ).
fof(f42,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/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
fof(f1000,plain,
( ! [X0] :
( open_subset(X0,sK0)
| ~ in(X0,sK1) )
| ~ spl10_1 ),
inference(subsumption_resolution,[],[f999,f142]) ).
fof(f999,plain,
( ! [X0] :
( ~ element(X0,powerset(the_carrier(sK0)))
| ~ in(X0,sK1)
| open_subset(X0,sK0) )
| ~ spl10_1 ),
inference(subsumption_resolution,[],[f998,f118]) ).
fof(f118,plain,
( open_subsets(sK1,sK0)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f998,plain,
! [X0] :
( ~ element(X0,powerset(the_carrier(sK0)))
| ~ in(X0,sK1)
| open_subset(X0,sK0)
| ~ open_subsets(sK1,sK0) ),
inference(subsumption_resolution,[],[f137,f76]) ).
fof(f137,plain,
! [X0] :
( ~ top_str(sK0)
| ~ element(X0,powerset(the_carrier(sK0)))
| ~ in(X0,sK1)
| open_subset(X0,sK0)
| ~ open_subsets(sK1,sK0) ),
inference(resolution,[],[f75,f86]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ element(X2,powerset(the_carrier(X0)))
| ~ in(X2,X1)
| open_subset(X2,X0)
| ~ open_subsets(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f997,plain,
( ~ closed_subset(sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1)),sK0)
| spl10_2 ),
inference(subsumption_resolution,[],[f960,f123]) ).
fof(f960,plain,
( ~ closed_subset(sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1)),sK0)
| closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
inference(subsumption_resolution,[],[f389,f76]) ).
fof(f389,plain,
( ~ top_str(sK0)
| ~ closed_subset(sK6(sK0,complements_of_subsets(the_carrier(sK0),sK1)),sK0)
| closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0) ),
inference(resolution,[],[f130,f93]) ).
fof(f93,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ closed_subset(sK6(X0,X1),X0)
| closed_subsets(X1,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f959,plain,
( spl10_1
| spl10_49 ),
inference(avatar_split_clause,[],[f954,f956,f117]) ).
fof(f954,plain,
( in(sK5(sK0,sK1),sK1)
| open_subsets(sK1,sK0) ),
inference(subsumption_resolution,[],[f138,f76]) ).
fof(f138,plain,
( ~ top_str(sK0)
| in(sK5(sK0,sK1),sK1)
| open_subsets(sK1,sK0) ),
inference(resolution,[],[f75,f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| in(sK5(X0,X1),X1)
| open_subsets(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f953,plain,
( spl10_1
| ~ spl10_48 ),
inference(avatar_split_clause,[],[f948,f950,f117]) ).
fof(f948,plain,
( ~ open_subset(sK5(sK0,sK1),sK0)
| open_subsets(sK1,sK0) ),
inference(subsumption_resolution,[],[f139,f76]) ).
fof(f139,plain,
( ~ top_str(sK0)
| ~ open_subset(sK5(sK0,sK1),sK0)
| open_subsets(sK1,sK0) ),
inference(resolution,[],[f75,f89]) ).
fof(f89,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(the_carrier(X0))))
| ~ top_str(X0)
| ~ open_subset(sK5(X0,X1),X0)
| open_subsets(X1,X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f125,plain,
( spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f73,f121,f117]) ).
fof(f73,plain,
( closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0)
| open_subsets(sK1,sK0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f124,plain,
( ~ spl10_1
| ~ spl10_2 ),
inference(avatar_split_clause,[],[f74,f121,f117]) ).
fof(f74,plain,
( ~ closed_subsets(complements_of_subsets(the_carrier(sK0),sK1),sK0)
| ~ open_subsets(sK1,sK0) ),
inference(cnf_transformation,[],[f51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU337+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.14 % 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
% 0.15/0.35 % Computer : n017.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 : Sun May 19 18:11:08 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.75 % (9025)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.58/0.75 % (9018)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.75 % (9020)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.75 % (9019)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 theBenchmark for (2996ds/51Mi)
% 0.58/0.75 % (9021)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.75 % (9022)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 theBenchmark for (2996ds/34Mi)
% 0.58/0.75 % (9023)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.75 % (9024)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 theBenchmark for (2996ds/83Mi)
% 0.58/0.75 % (9025)Refutation not found, incomplete strategy% (9025)------------------------------
% 0.58/0.75 % (9025)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (9025)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (9025)Memory used [KB]: 1054
% 0.58/0.75 % (9025)Time elapsed: 0.002 s
% 0.58/0.75 % (9025)Instructions burned: 4 (million)
% 0.58/0.75 % (9025)------------------------------
% 0.58/0.75 % (9025)------------------------------
% 0.58/0.75 % (9026)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 theBenchmark for (2996ds/55Mi)
% 0.58/0.75 % (9021)Refutation not found, incomplete strategy% (9021)------------------------------
% 0.58/0.75 % (9021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75 % (9021)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75
% 0.58/0.75 % (9021)Memory used [KB]: 1065
% 0.58/0.75 % (9021)Time elapsed: 0.006 s
% 0.58/0.75 % (9021)Instructions burned: 6 (million)
% 0.58/0.75 % (9021)------------------------------
% 0.58/0.75 % (9021)------------------------------
% 0.58/0.76 % (9027)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 theBenchmark for (2996ds/50Mi)
% 0.59/0.77 % (9018)Instruction limit reached!
% 0.59/0.77 % (9018)------------------------------
% 0.59/0.77 % (9018)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9018)Termination reason: Unknown
% 0.59/0.77 % (9018)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9018)Memory used [KB]: 1337
% 0.59/0.77 % (9018)Time elapsed: 0.021 s
% 0.59/0.77 % (9018)Instructions burned: 35 (million)
% 0.59/0.77 % (9018)------------------------------
% 0.59/0.77 % (9018)------------------------------
% 0.59/0.77 % (9026)Instruction limit reached!
% 0.59/0.77 % (9026)------------------------------
% 0.59/0.77 % (9026)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9026)Termination reason: Unknown
% 0.59/0.77 % (9026)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9026)Memory used [KB]: 1693
% 0.59/0.77 % (9026)Time elapsed: 0.018 s
% 0.59/0.77 % (9026)Instructions burned: 55 (million)
% 0.59/0.77 % (9026)------------------------------
% 0.59/0.77 % (9026)------------------------------
% 0.59/0.77 % (9022)Instruction limit reached!
% 0.59/0.77 % (9022)------------------------------
% 0.59/0.77 % (9022)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (9022)Termination reason: Unknown
% 0.59/0.77 % (9022)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (9022)Memory used [KB]: 1491
% 0.59/0.77 % (9022)Time elapsed: 0.022 s
% 0.59/0.77 % (9022)Instructions burned: 34 (million)
% 0.59/0.77 % (9022)------------------------------
% 0.59/0.77 % (9022)------------------------------
% 0.59/0.77 % (9029)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 theBenchmark for (2995ds/52Mi)
% 0.59/0.77 % (9028)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.59/0.77 % (9030)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.59/0.78 % (9023)Instruction limit reached!
% 0.59/0.78 % (9023)------------------------------
% 0.59/0.78 % (9023)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9023)Termination reason: Unknown
% 0.59/0.78 % (9023)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9023)Memory used [KB]: 1394
% 0.59/0.78 % (9023)Time elapsed: 0.028 s
% 0.59/0.78 % (9023)Instructions burned: 46 (million)
% 0.59/0.78 % (9023)------------------------------
% 0.59/0.78 % (9023)------------------------------
% 0.59/0.78 % (9019)Instruction limit reached!
% 0.59/0.78 % (9019)------------------------------
% 0.59/0.78 % (9019)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9019)Termination reason: Unknown
% 0.59/0.78 % (9019)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9019)Memory used [KB]: 1504
% 0.59/0.78 % (9019)Time elapsed: 0.031 s
% 0.59/0.78 % (9019)Instructions burned: 51 (million)
% 0.59/0.78 % (9019)------------------------------
% 0.59/0.78 % (9019)------------------------------
% 0.59/0.78 % (9031)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.59/0.78 % (9030)Refutation not found, incomplete strategy% (9030)------------------------------
% 0.59/0.78 % (9030)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9030)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.78
% 0.59/0.78 % (9030)Memory used [KB]: 1166
% 0.59/0.78 % (9030)Time elapsed: 0.009 s
% 0.59/0.78 % (9030)Instructions burned: 11 (million)
% 0.59/0.78 % (9030)------------------------------
% 0.59/0.78 % (9030)------------------------------
% 0.59/0.78 % (9024)First to succeed.
% 0.59/0.78 % (9032)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2995ds/243Mi)
% 0.59/0.78 % (9027)Instruction limit reached!
% 0.59/0.78 % (9027)------------------------------
% 0.59/0.78 % (9027)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (9027)Termination reason: Unknown
% 0.59/0.78 % (9024)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9017"
% 0.59/0.78 % (9027)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (9027)Memory used [KB]: 1420
% 0.59/0.78 % (9027)Time elapsed: 0.028 s
% 0.59/0.78 % (9027)Instructions burned: 50 (million)
% 0.59/0.78 % (9027)------------------------------
% 0.59/0.78 % (9027)------------------------------
% 0.59/0.79 % (9024)Refutation found. Thanks to Tanya!
% 0.59/0.79 % SZS status Theorem for theBenchmark
% 0.59/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.59/0.79 % (9024)------------------------------
% 0.59/0.79 % (9024)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (9024)Termination reason: Refutation
% 0.59/0.79
% 0.59/0.79 % (9024)Memory used [KB]: 1518
% 0.59/0.79 % (9024)Time elapsed: 0.036 s
% 0.59/0.79 % (9024)Instructions burned: 56 (million)
% 0.59/0.79 % (9017)Success in time 0.415 s
% 0.59/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------