TSTP Solution File: SEU383+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU383+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 : n006.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 03:52:30 EDT 2024
% Result : Theorem 0.63s 0.82s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 21
% Syntax : Number of formulae : 118 ( 9 unt; 0 def)
% Number of atoms : 537 ( 18 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 663 ( 244 ~; 237 |; 140 &)
% ( 15 <=>; 24 =>; 0 <=; 3 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 7 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 157 ( 134 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f434,plain,
$false,
inference(avatar_sat_refutation,[],[f159,f160,f181,f214,f241,f250,f397,f429]) ).
fof(f429,plain,
( ~ spl12_2
| ~ spl12_3 ),
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| ~ spl12_2
| ~ spl12_3 ),
inference(resolution,[],[f176,f158]) ).
fof(f158,plain,
( in(bottom_of_relstr(sK0),sK1)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f156,plain,
( spl12_2
<=> in(bottom_of_relstr(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f176,plain,
( ! [X0] : ~ in(X0,sK1)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl12_3
<=> ! [X0] : ~ in(X0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f397,plain,
( ~ spl12_1
| spl12_4
| ~ spl12_6 ),
inference(avatar_contradiction_clause,[],[f396]) ).
fof(f396,plain,
( $false
| ~ spl12_1
| spl12_4
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f395,f345]) ).
fof(f345,plain,
( element(sK1,powerset(sK1))
| spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f112,f344]) ).
fof(f344,plain,
( the_carrier(sK0) = sK1
| spl12_4
| ~ spl12_6 ),
inference(subsumption_resolution,[],[f342,f223]) ).
fof(f223,plain,
( ! [X0] :
( ~ in(sK11(X0,the_carrier(sK0)),sK1)
| the_carrier(sK0) = X0
| ~ in(sK11(X0,the_carrier(sK0)),X0) )
| spl12_4 ),
inference(resolution,[],[f220,f149]) ).
fof(f149,plain,
! [X0,X1] :
( ~ in(sK11(X0,X1),X1)
| X0 = X1
| ~ in(sK11(X0,X1),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 = X1
| ( ( ~ in(sK11(X0,X1),X1)
| ~ in(sK11(X0,X1),X0) )
& ( in(sK11(X0,X1),X1)
| in(sK11(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f101,f102]) ).
fof(f102,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) )
=> ( ( ~ in(sK11(X0,X1),X1)
| ~ in(sK11(X0,X1),X0) )
& ( in(sK11(X0,X1),X1)
| in(sK11(X0,X1),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( ( ~ in(X2,X1)
| ~ in(X2,X0) )
& ( in(X2,X1)
| in(X2,X0) ) ) ),
inference(nnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ? [X2] :
( in(X2,X0)
<~> in(X2,X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
<=> in(X2,X1) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t2_tarski) ).
fof(f220,plain,
( ! [X0] :
( in(X0,the_carrier(sK0))
| ~ in(X0,sK1) )
| spl12_4 ),
inference(subsumption_resolution,[],[f219,f180]) ).
fof(f180,plain,
( ~ empty(the_carrier(sK0))
| spl12_4 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f178,plain,
( spl12_4
<=> empty(the_carrier(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f219,plain,
! [X0] :
( ~ in(X0,sK1)
| empty(the_carrier(sK0))
| in(X0,the_carrier(sK0)) ),
inference(resolution,[],[f169,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ element(X0,X1)
| empty(X1)
| in(X0,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( in(X0,X1)
| empty(X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( in(X0,X1)
| empty(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t2_subset) ).
fof(f169,plain,
! [X0] :
( element(X0,the_carrier(sK0))
| ~ in(X0,sK1) ),
inference(resolution,[],[f112,f122]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| element(X0,X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,axiom,
! [X0,X1,X2] :
( ( element(X1,powerset(X2))
& in(X0,X1) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t4_subset) ).
fof(f342,plain,
( in(sK11(sK1,the_carrier(sK0)),sK1)
| the_carrier(sK0) = sK1
| ~ spl12_6 ),
inference(factoring,[],[f272]) ).
fof(f272,plain,
( ! [X0] :
( in(sK11(X0,the_carrier(sK0)),sK1)
| the_carrier(sK0) = X0
| in(sK11(X0,the_carrier(sK0)),X0) )
| ~ spl12_6 ),
inference(resolution,[],[f261,f148]) ).
fof(f148,plain,
! [X0,X1] :
( in(sK11(X0,X1),X1)
| X0 = X1
| in(sK11(X0,X1),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f261,plain,
( ! [X0] :
( ~ in(X0,the_carrier(sK0))
| in(X0,sK1) )
| ~ spl12_6 ),
inference(resolution,[],[f240,f124]) ).
fof(f124,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( element(X0,X1)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( in(X0,X1)
=> element(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t1_subset) ).
fof(f240,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK0))
| in(X0,sK1) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl12_6
<=> ! [X0] :
( ~ element(X0,the_carrier(sK0))
| in(X0,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f112,plain,
element(sK1,powerset(the_carrier(sK0))),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( in(bottom_of_relstr(sK0),sK1)
| ~ proper_element(sK1,powerset(the_carrier(sK0))) )
& ( ~ in(bottom_of_relstr(sK0),sK1)
| proper_element(sK1,powerset(the_carrier(sK0))) )
& element(sK1,powerset(the_carrier(sK0)))
& upper_relstr_subset(sK1,sK0)
& ~ empty(sK1)
& rel_str(sK0)
& lower_bounded_relstr(sK0)
& antisymmetric_relstr(sK0)
& transitive_relstr(sK0)
& reflexive_relstr(sK0)
& ~ empty_carrier(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f77,f79,f78]) ).
fof(f78,plain,
( ? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ( ? [X1] :
( ( in(bottom_of_relstr(sK0),X1)
| ~ proper_element(X1,powerset(the_carrier(sK0))) )
& ( ~ in(bottom_of_relstr(sK0),X1)
| proper_element(X1,powerset(the_carrier(sK0))) )
& element(X1,powerset(the_carrier(sK0)))
& upper_relstr_subset(X1,sK0)
& ~ empty(X1) )
& rel_str(sK0)
& lower_bounded_relstr(sK0)
& antisymmetric_relstr(sK0)
& transitive_relstr(sK0)
& reflexive_relstr(sK0)
& ~ empty_carrier(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X1] :
( ( in(bottom_of_relstr(sK0),X1)
| ~ proper_element(X1,powerset(the_carrier(sK0))) )
& ( ~ in(bottom_of_relstr(sK0),X1)
| proper_element(X1,powerset(the_carrier(sK0))) )
& element(X1,powerset(the_carrier(sK0)))
& upper_relstr_subset(X1,sK0)
& ~ empty(X1) )
=> ( ( in(bottom_of_relstr(sK0),sK1)
| ~ proper_element(sK1,powerset(the_carrier(sK0))) )
& ( ~ in(bottom_of_relstr(sK0),sK1)
| proper_element(sK1,powerset(the_carrier(sK0))) )
& element(sK1,powerset(the_carrier(sK0)))
& upper_relstr_subset(sK1,sK0)
& ~ empty(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
? [X0] :
( ? [X1] :
( ( in(bottom_of_relstr(X0),X1)
| ~ proper_element(X1,powerset(the_carrier(X0))) )
& ( ~ in(bottom_of_relstr(X0),X1)
| proper_element(X1,powerset(the_carrier(X0))) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(flattening,[],[f49]) ).
fof(f49,plain,
? [X0] :
( ? [X1] :
( ( proper_element(X1,powerset(the_carrier(X0)))
<~> ~ in(bottom_of_relstr(X0),X1) )
& element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
& rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
~ ! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& ~ empty(X1) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f46,negated_conjecture,
~ ! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& ~ empty(X1) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
inference(negated_conjecture,[],[f45]) ).
fof(f45,conjecture,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& transitive_relstr(X0)
& reflexive_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( ( element(X1,powerset(the_carrier(X0)))
& upper_relstr_subset(X1,X0)
& filtered_subset(X1,X0)
& ~ empty(X1) )
=> ( proper_element(X1,powerset(the_carrier(X0)))
<=> ~ in(bottom_of_relstr(X0),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t8_waybel_7) ).
fof(f395,plain,
( ~ element(sK1,powerset(sK1))
| ~ spl12_1
| spl12_4
| ~ spl12_6 ),
inference(resolution,[],[f346,f150]) ).
fof(f150,plain,
! [X1] :
( ~ proper_element(X1,powerset(X1))
| ~ element(X1,powerset(X1)) ),
inference(equality_resolution,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( X0 != X1
| ~ proper_element(X1,powerset(X0))
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( ( ( proper_element(X1,powerset(X0))
| X0 = X1 )
& ( X0 != X1
| ~ proper_element(X1,powerset(X0)) ) )
| ~ element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ( proper_element(X1,powerset(X0))
<=> X0 != X1 )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ( proper_element(X1,powerset(X0))
<=> X0 != X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t5_tex_2) ).
fof(f346,plain,
( proper_element(sK1,powerset(sK1))
| ~ spl12_1
| spl12_4
| ~ spl12_6 ),
inference(superposition,[],[f153,f344]) ).
fof(f153,plain,
( proper_element(sK1,powerset(the_carrier(sK0)))
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl12_1
<=> proper_element(sK1,powerset(the_carrier(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f250,plain,
spl12_5,
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| spl12_5 ),
inference(subsumption_resolution,[],[f245,f109]) ).
fof(f109,plain,
rel_str(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f245,plain,
( ~ rel_str(sK0)
| spl12_5 ),
inference(resolution,[],[f237,f126]) ).
fof(f126,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( element(bottom_of_relstr(X0),the_carrier(X0))
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( rel_str(X0)
=> element(bottom_of_relstr(X0),the_carrier(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',dt_k3_yellow_0) ).
fof(f237,plain,
( ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| spl12_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl12_5
<=> element(bottom_of_relstr(sK0),the_carrier(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f241,plain,
( ~ spl12_5
| spl12_6
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f233,f156,f239,f235]) ).
fof(f233,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK0))
| ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| in(X0,sK1) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f232,f104]) ).
fof(f104,plain,
~ empty_carrier(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f232,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK0))
| ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| in(X0,sK1)
| empty_carrier(sK0) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f231,f107]) ).
fof(f107,plain,
antisymmetric_relstr(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f231,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK0))
| ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| in(X0,sK1)
| ~ antisymmetric_relstr(sK0)
| empty_carrier(sK0) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f230,f108]) ).
fof(f108,plain,
lower_bounded_relstr(sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f230,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK0))
| ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| in(X0,sK1)
| ~ lower_bounded_relstr(sK0)
| ~ antisymmetric_relstr(sK0)
| empty_carrier(sK0) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f229,f109]) ).
fof(f229,plain,
( ! [X0] :
( ~ element(X0,the_carrier(sK0))
| ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| in(X0,sK1)
| ~ rel_str(sK0)
| ~ lower_bounded_relstr(sK0)
| ~ antisymmetric_relstr(sK0)
| empty_carrier(sK0) )
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f228,f158]) ).
fof(f228,plain,
! [X0] :
( ~ in(bottom_of_relstr(sK0),sK1)
| ~ element(X0,the_carrier(sK0))
| ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| in(X0,sK1)
| ~ rel_str(sK0)
| ~ lower_bounded_relstr(sK0)
| ~ antisymmetric_relstr(sK0)
| empty_carrier(sK0) ),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ~ in(bottom_of_relstr(sK0),sK1)
| ~ element(X0,the_carrier(sK0))
| ~ element(bottom_of_relstr(sK0),the_carrier(sK0))
| in(X0,sK1)
| ~ element(X0,the_carrier(sK0))
| ~ rel_str(sK0)
| ~ lower_bounded_relstr(sK0)
| ~ antisymmetric_relstr(sK0)
| empty_carrier(sK0) ),
inference(resolution,[],[f173,f136]) ).
fof(f136,plain,
! [X0,X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0))
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ! [X1] :
( related(X0,bottom_of_relstr(X0),X1)
| ~ element(X1,the_carrier(X0)) )
| ~ rel_str(X0)
| ~ lower_bounded_relstr(X0)
| ~ antisymmetric_relstr(X0)
| empty_carrier(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ( rel_str(X0)
& lower_bounded_relstr(X0)
& antisymmetric_relstr(X0)
& ~ empty_carrier(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> related(X0,bottom_of_relstr(X0),X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t44_yellow_0) ).
fof(f173,plain,
! [X0,X1] :
( ~ related(sK0,X0,X1)
| ~ in(X0,sK1)
| ~ element(X1,the_carrier(sK0))
| ~ element(X0,the_carrier(sK0))
| in(X1,sK1) ),
inference(subsumption_resolution,[],[f172,f109]) ).
fof(f172,plain,
! [X0,X1] :
( ~ related(sK0,X0,X1)
| ~ in(X0,sK1)
| ~ element(X1,the_carrier(sK0))
| ~ element(X0,the_carrier(sK0))
| in(X1,sK1)
| ~ rel_str(sK0) ),
inference(subsumption_resolution,[],[f166,f111]) ).
fof(f111,plain,
upper_relstr_subset(sK1,sK0),
inference(cnf_transformation,[],[f80]) ).
fof(f166,plain,
! [X0,X1] :
( ~ related(sK0,X0,X1)
| ~ in(X0,sK1)
| ~ element(X1,the_carrier(sK0))
| ~ element(X0,the_carrier(sK0))
| ~ upper_relstr_subset(sK1,sK0)
| in(X1,sK1)
| ~ rel_str(sK0) ),
inference(resolution,[],[f112,f141]) ).
fof(f141,plain,
! [X0,X1,X4,X5] :
( ~ element(X1,powerset(the_carrier(X0)))
| ~ related(X0,X4,X5)
| ~ in(X4,X1)
| ~ element(X5,the_carrier(X0))
| ~ element(X4,the_carrier(X0))
| ~ upper_relstr_subset(X1,X0)
| in(X5,X1)
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ( ~ in(sK10(X0,X1),X1)
& related(X0,sK9(X0,X1),sK10(X0,X1))
& in(sK9(X0,X1),X1)
& element(sK10(X0,X1),the_carrier(X0))
& element(sK9(X0,X1),the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ related(X0,X4,X5)
| ~ in(X4,X1)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f97,f99,f98]) ).
fof(f98,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,X2,X3)
& in(X2,X1)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) )
=> ( ? [X3] :
( ~ in(X3,X1)
& related(X0,sK9(X0,X1),X3)
& in(sK9(X0,X1),X1)
& element(X3,the_carrier(X0)) )
& element(sK9(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,sK9(X0,X1),X3)
& in(sK9(X0,X1),X1)
& element(X3,the_carrier(X0)) )
=> ( ~ in(sK10(X0,X1),X1)
& related(X0,sK9(X0,X1),sK10(X0,X1))
& in(sK9(X0,X1),X1)
& element(sK10(X0,X1),the_carrier(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,X2,X3)
& in(X2,X1)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( in(X5,X1)
| ~ related(X0,X4,X5)
| ~ in(X4,X1)
| ~ element(X5,the_carrier(X0)) )
| ~ element(X4,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ( ( upper_relstr_subset(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ in(X3,X1)
& related(X0,X2,X3)
& in(X2,X1)
& element(X3,the_carrier(X0)) )
& element(X2,the_carrier(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ related(X0,X2,X3)
| ~ in(X2,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) )
| ~ upper_relstr_subset(X1,X0) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ related(X0,X2,X3)
| ~ in(X2,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( ! [X3] :
( in(X3,X1)
| ~ related(X0,X2,X3)
| ~ in(X2,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ element(X2,the_carrier(X0)) ) )
| ~ element(X1,powerset(the_carrier(X0))) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,powerset(the_carrier(X0)))
=> ( upper_relstr_subset(X1,X0)
<=> ! [X2] :
( element(X2,the_carrier(X0))
=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( ( related(X0,X2,X3)
& in(X2,X1) )
=> in(X3,X1) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',d20_waybel_0) ).
fof(f214,plain,
( spl12_1
| spl12_2 ),
inference(avatar_contradiction_clause,[],[f213]) ).
fof(f213,plain,
( $false
| spl12_1
| spl12_2 ),
inference(subsumption_resolution,[],[f212,f157]) ).
fof(f157,plain,
( ~ in(bottom_of_relstr(sK0),sK1)
| spl12_2 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f212,plain,
( in(bottom_of_relstr(sK0),sK1)
| spl12_1 ),
inference(subsumption_resolution,[],[f211,f110]) ).
fof(f110,plain,
~ empty(sK1),
inference(cnf_transformation,[],[f80]) ).
fof(f211,plain,
( empty(sK1)
| in(bottom_of_relstr(sK0),sK1)
| spl12_1 ),
inference(resolution,[],[f195,f123]) ).
fof(f195,plain,
( element(bottom_of_relstr(sK0),sK1)
| spl12_1 ),
inference(subsumption_resolution,[],[f188,f109]) ).
fof(f188,plain,
( element(bottom_of_relstr(sK0),sK1)
| ~ rel_str(sK0)
| spl12_1 ),
inference(superposition,[],[f126,f184]) ).
fof(f184,plain,
( the_carrier(sK0) = sK1
| spl12_1 ),
inference(subsumption_resolution,[],[f183,f112]) ).
fof(f183,plain,
( the_carrier(sK0) = sK1
| ~ element(sK1,powerset(the_carrier(sK0)))
| spl12_1 ),
inference(resolution,[],[f154,f138]) ).
fof(f138,plain,
! [X0,X1] :
( proper_element(X1,powerset(X0))
| X0 = X1
| ~ element(X1,powerset(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f154,plain,
( ~ proper_element(sK1,powerset(the_carrier(sK0)))
| spl12_1 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f181,plain,
( spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f170,f178,f175]) ).
fof(f170,plain,
! [X0] :
( ~ empty(the_carrier(sK0))
| ~ in(X0,sK1) ),
inference(resolution,[],[f112,f121]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ empty(X2)
| ~ element(X1,powerset(X2))
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0,X1,X2] :
~ ( empty(X2)
& element(X1,powerset(X2))
& in(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.fHlQCz4R0r/Vampire---4.8_13232',t5_subset) ).
fof(f160,plain,
( spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f113,f156,f152]) ).
fof(f113,plain,
( ~ in(bottom_of_relstr(sK0),sK1)
| proper_element(sK1,powerset(the_carrier(sK0))) ),
inference(cnf_transformation,[],[f80]) ).
fof(f159,plain,
( ~ spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f114,f156,f152]) ).
fof(f114,plain,
( in(bottom_of_relstr(sK0),sK1)
| ~ proper_element(sK1,powerset(the_carrier(sK0))) ),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SEU383+1 : TPTP v8.1.2. Released v3.3.0.
% 0.09/0.11 % 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 : n006.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 16:11:05 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.fHlQCz4R0r/Vampire---4.8_13232
% 0.63/0.81 % (13347)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)
% 0.63/0.81 % (13346)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)
% 0.63/0.81 % (13349)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)
% 0.63/0.81 % (13348)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.63/0.81 % (13350)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)
% 0.63/0.81 % (13351)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)
% 0.63/0.81 % (13352)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)
% 0.63/0.81 % (13353)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)
% 0.63/0.82 % (13351)First to succeed.
% 0.63/0.82 % (13353)Refutation not found, incomplete strategy% (13353)------------------------------
% 0.63/0.82 % (13353)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (13353)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.82
% 0.63/0.82 % (13353)Memory used [KB]: 1174
% 0.63/0.82 % (13353)Time elapsed: 0.008 s
% 0.63/0.82 % (13353)Instructions burned: 12 (million)
% 0.63/0.82 % (13353)------------------------------
% 0.63/0.82 % (13353)------------------------------
% 0.63/0.82 % (13351)Refutation found. Thanks to Tanya!
% 0.63/0.82 % SZS status Theorem for Vampire---4
% 0.63/0.82 % SZS output start Proof for Vampire---4
% See solution above
% 0.63/0.82 % (13351)------------------------------
% 0.63/0.82 % (13351)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.63/0.82 % (13351)Termination reason: Refutation
% 0.63/0.82
% 0.63/0.82 % (13351)Memory used [KB]: 1190
% 0.63/0.82 % (13351)Time elapsed: 0.010 s
% 0.63/0.82 % (13351)Instructions burned: 15 (million)
% 0.63/0.82 % (13351)------------------------------
% 0.63/0.82 % (13351)------------------------------
% 0.63/0.82 % (13343)Success in time 0.488 s
% 0.63/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------