TSTP Solution File: SET099+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SET099+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 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 : 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 : Sun May 5 09:03:56 EDT 2024
% Result : Theorem 0.60s 0.80s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 17
% Syntax : Number of formulae : 98 ( 11 unt; 0 def)
% Number of atoms : 309 ( 76 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 354 ( 143 ~; 126 |; 60 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 153 ( 139 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f581,plain,
$false,
inference(avatar_sat_refutation,[],[f314,f460,f471,f475,f580]) ).
fof(f580,plain,
( ~ spl7_22
| ~ spl7_23 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| ~ spl7_22
| ~ spl7_23 ),
inference(subsumption_resolution,[],[f576,f474]) ).
fof(f474,plain,
( member(sK2(sK0),universal_class)
| ~ spl7_23 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f473,plain,
( spl7_23
<=> member(sK2(sK0),universal_class) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_23])]) ).
fof(f576,plain,
( ~ member(sK2(sK0),universal_class)
| ~ spl7_22 ),
inference(resolution,[],[f574,f270]) ).
fof(f270,plain,
! [X2,X1] :
( member(X1,unordered_pair(X1,X2))
| ~ member(X1,universal_class) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X2,X0,X1] :
( member(X0,unordered_pair(X1,X2))
| X0 != X1
| ~ member(X0,universal_class) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ( member(X0,unordered_pair(X1,X2))
| ( X0 != X2
& X0 != X1 )
| ~ member(X0,universal_class) )
& ( ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) )
| ~ member(X0,unordered_pair(X1,X2)) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( member(X0,unordered_pair(X1,X2))
<=> ( ( X0 = X2
| X0 = X1 )
& member(X0,universal_class) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( member(X2,unordered_pair(X0,X1))
<=> ( ( X1 = X2
| X0 = X2 )
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',unordered_pair_defn) ).
fof(f574,plain,
( ~ member(sK2(sK0),unordered_pair(sK2(sK0),sK2(sK0)))
| ~ spl7_22 ),
inference(resolution,[],[f569,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ member(X1,complement(X0))
| ~ member(X1,X0) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) )
& ( ( ~ member(X1,X0)
& member(X1,universal_class) )
| ~ member(X1,complement(X0)) ) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X1] :
( ( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) )
& ( ( ~ member(X1,X0)
& member(X1,universal_class) )
| ~ member(X1,complement(X0)) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( member(X1,complement(X0))
<=> ( ~ member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X0,X4] :
( member(X4,complement(X0))
<=> ( ~ member(X4,X0)
& member(X4,universal_class) ) ),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',complement) ).
fof(f569,plain,
( member(sK2(sK0),complement(unordered_pair(sK2(sK0),sK2(sK0))))
| ~ spl7_22 ),
inference(resolution,[],[f470,f152]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) )
& ( ( member(X2,X1)
& member(X2,X0) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X1)
& member(X2,X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X1,X4] :
( member(X4,intersection(X0,X1))
<=> ( member(X4,X1)
& member(X4,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',intersection) ).
fof(f470,plain,
( member(sK2(sK0),intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0))
| ~ spl7_22 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl7_22
<=> member(sK2(sK0),intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_22])]) ).
fof(f475,plain,
( spl7_7
| spl7_23
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f463,f312,f473,f309]) ).
fof(f309,plain,
( spl7_7
<=> null_class = intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).
fof(f312,plain,
( spl7_8
<=> sK2(sK0) = sK2(intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).
fof(f463,plain,
( member(sK2(sK0),universal_class)
| null_class = intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)
| ~ spl7_8 ),
inference(superposition,[],[f160,f313]) ).
fof(f313,plain,
( sK2(sK0) = sK2(intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0))
| ~ spl7_8 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f160,plain,
! [X0] :
( member(sK2(X0),universal_class)
| null_class = X0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ( disjoint(sK2(X0),X0)
& member(sK2(X0),X0)
& member(sK2(X0),universal_class) )
| null_class = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f76,f100]) ).
fof(f100,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
=> ( disjoint(sK2(X0),X0)
& member(sK2(X0),X0)
& member(sK2(X0),universal_class) ) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
! [X0] :
( ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) )
| null_class = X0 ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( null_class != X0
=> ? [X1] :
( disjoint(X1,X0)
& member(X1,X0)
& member(X1,universal_class) ) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( null_class != X0
=> ? [X2] :
( disjoint(X2,X0)
& member(X2,X0)
& member(X2,universal_class) ) ),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',regularity) ).
fof(f471,plain,
( spl7_7
| spl7_22
| ~ spl7_8 ),
inference(avatar_split_clause,[],[f462,f312,f469,f309]) ).
fof(f462,plain,
( member(sK2(sK0),intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0))
| null_class = intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)
| ~ spl7_8 ),
inference(superposition,[],[f161,f313]) ).
fof(f161,plain,
! [X0] :
( member(sK2(X0),X0)
| null_class = X0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f460,plain,
~ spl7_7,
inference(avatar_contradiction_clause,[],[f459]) ).
fof(f459,plain,
( $false
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f458,f139]) ).
fof(f139,plain,
null_class != sK0,
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ! [X1] : singleton(X1) != sK0
& null_class != sK0
& ! [X2,X3] :
( X2 = X3
| ~ member(X3,intersection(complement(singleton(X2)),sK0))
| ~ member(X2,sK0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f87,f88]) ).
fof(f88,plain,
( ? [X0] :
( ! [X1] : singleton(X1) != X0
& null_class != X0
& ! [X2,X3] :
( X2 = X3
| ~ member(X3,intersection(complement(singleton(X2)),X0))
| ~ member(X2,X0) ) )
=> ( ! [X1] : singleton(X1) != sK0
& null_class != sK0
& ! [X3,X2] :
( X2 = X3
| ~ member(X3,intersection(complement(singleton(X2)),sK0))
| ~ member(X2,sK0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
? [X0] :
( ! [X1] : singleton(X1) != X0
& null_class != X0
& ! [X2,X3] :
( X2 = X3
| ~ member(X3,intersection(complement(singleton(X2)),X0))
| ~ member(X2,X0) ) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
? [X0] :
( ! [X3] : singleton(X3) != X0
& null_class != X0
& ! [X1,X2] :
( X1 = X2
| ~ member(X2,intersection(complement(singleton(X1)),X0))
| ~ member(X1,X0) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
? [X0] :
( ! [X3] : singleton(X3) != X0
& null_class != X0
& ! [X1,X2] :
( X1 = X2
| ~ member(X2,intersection(complement(singleton(X1)),X0))
| ~ member(X1,X0) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,plain,
~ ! [X0] :
( ! [X1,X2] :
( ( member(X2,intersection(complement(singleton(X1)),X0))
& member(X1,X0) )
=> X1 = X2 )
=> ( ? [X3] : singleton(X3) = X0
| null_class = X0 ) ),
inference(rectify,[],[f45]) ).
fof(f45,negated_conjecture,
~ ! [X0] :
( ! [X2,X3] :
( ( member(X3,intersection(complement(singleton(X2)),X0))
& member(X2,X0) )
=> X2 = X3 )
=> ( ? [X1] : singleton(X1) = X0
| null_class = X0 ) ),
inference(negated_conjecture,[],[f44]) ).
fof(f44,conjecture,
! [X0] :
( ! [X2,X3] :
( ( member(X3,intersection(complement(singleton(X2)),X0))
& member(X2,X0) )
=> X2 = X3 )
=> ( ? [X1] : singleton(X1) = X0
| null_class = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',corollary_2_to_number_of_elements_in_class) ).
fof(f458,plain,
( null_class = sK0
| ~ spl7_7 ),
inference(resolution,[],[f457,f161]) ).
fof(f457,plain,
( ~ member(sK2(sK0),sK0)
| ~ spl7_7 ),
inference(backward_demodulation,[],[f421,f454]) ).
fof(f454,plain,
( sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| ~ spl7_7 ),
inference(duplicate_literal_removal,[],[f452]) ).
fof(f452,plain,
( sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| sK2(sK0) = sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| ~ spl7_7 ),
inference(resolution,[],[f206,f422]) ).
fof(f422,plain,
( member(sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0),unordered_pair(sK2(sK0),sK2(sK0)))
| ~ spl7_7 ),
inference(resolution,[],[f420,f225]) ).
fof(f225,plain,
! [X0,X1] :
( subclass(X0,X1)
| member(sK6(X0,X1),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f135,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) )
=> ( ~ member(sK6(X0,X1),X1)
& member(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subclass(X0,X1) ) ),
inference(rectify,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ( subclass(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subclass(X0,X1) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subclass(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',subclass_defn) ).
fof(f420,plain,
( ~ subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f419,f371]) ).
fof(f371,plain,
! [X0] :
( member(sK6(sK0,unordered_pair(X0,X0)),sK0)
| ~ subclass(unordered_pair(X0,X0),sK0) ),
inference(resolution,[],[f321,f225]) ).
fof(f321,plain,
! [X0] :
( ~ subclass(sK0,unordered_pair(X0,X0))
| ~ subclass(unordered_pair(X0,X0),sK0) ),
inference(extensionality_resolution,[],[f222,f233]) ).
fof(f233,plain,
! [X1] : sK0 != unordered_pair(X1,X1),
inference(definition_unfolding,[],[f140,f150]) ).
fof(f150,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',singleton_set_defn) ).
fof(f140,plain,
! [X1] : singleton(X1) != sK0,
inference(cnf_transformation,[],[f89]) ).
fof(f222,plain,
! [X0,X1] :
( ~ subclass(X1,X0)
| X0 = X1
| ~ subclass(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subclass(X1,X0)
| ~ subclass(X0,X1) )
& ( ( subclass(X1,X0)
& subclass(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subclass(X1,X0)
& subclass(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',extensionality) ).
fof(f419,plain,
( ~ member(sK6(sK0,unordered_pair(sK2(sK0),sK2(sK0))),sK0)
| ~ subclass(unordered_pair(sK2(sK0),sK2(sK0)),sK0)
| ~ spl7_7 ),
inference(resolution,[],[f408,f370]) ).
fof(f370,plain,
! [X0] :
( ~ member(sK6(sK0,unordered_pair(X0,X0)),unordered_pair(X0,X0))
| ~ subclass(unordered_pair(X0,X0),sK0) ),
inference(resolution,[],[f321,f226]) ).
fof(f226,plain,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f408,plain,
( ! [X0] :
( member(X0,unordered_pair(sK2(sK0),sK2(sK0)))
| ~ member(X0,sK0) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f406,f384]) ).
fof(f384,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f224,f223]) ).
fof(f223,plain,
! [X0] : subclass(X0,universal_class),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',class_elements_are_sets) ).
fof(f224,plain,
! [X3,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X3,X0)
| member(X3,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f406,plain,
( ! [X0] :
( ~ member(X0,sK0)
| member(X0,unordered_pair(sK2(sK0),sK2(sK0)))
| ~ member(X0,universal_class) )
| ~ spl7_7 ),
inference(resolution,[],[f405,f157]) ).
fof(f157,plain,
! [X0,X1] :
( member(X1,complement(X0))
| member(X1,X0)
| ~ member(X1,universal_class) ),
inference(cnf_transformation,[],[f97]) ).
fof(f405,plain,
( ! [X0] :
( ~ member(X0,complement(unordered_pair(sK2(sK0),sK2(sK0))))
| ~ member(X0,sK0) )
| ~ spl7_7 ),
inference(subsumption_resolution,[],[f404,f166]) ).
fof(f166,plain,
! [X0] : ~ member(X0,null_class),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] : ~ member(X0,null_class),
file('/export/starexec/sandbox/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386',null_class_defn) ).
fof(f404,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,sK0)
| ~ member(X0,complement(unordered_pair(sK2(sK0),sK2(sK0)))) )
| ~ spl7_7 ),
inference(superposition,[],[f154,f310]) ).
fof(f310,plain,
( null_class = intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0)
| ~ spl7_7 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f154,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X1)
| ~ member(X2,X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[],[f127]) ).
fof(f421,plain,
( ~ member(sK6(unordered_pair(sK2(sK0),sK2(sK0)),sK0),sK0)
| ~ spl7_7 ),
inference(resolution,[],[f420,f226]) ).
fof(f314,plain,
( spl7_7
| spl7_8 ),
inference(avatar_split_clause,[],[f307,f312,f309]) ).
fof(f307,plain,
( sK2(sK0) = sK2(intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0))
| null_class = intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0) ),
inference(resolution,[],[f305,f161]) ).
fof(f305,plain,
! [X0] :
( ~ member(X0,intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0))
| sK2(sK0) = X0 ),
inference(subsumption_resolution,[],[f304,f139]) ).
fof(f304,plain,
! [X0] :
( null_class = sK0
| ~ member(X0,intersection(complement(unordered_pair(sK2(sK0),sK2(sK0))),sK0))
| sK2(sK0) = X0 ),
inference(resolution,[],[f161,f234]) ).
fof(f234,plain,
! [X2,X3] :
( ~ member(X2,sK0)
| ~ member(X3,intersection(complement(unordered_pair(X2,X2)),sK0))
| X2 = X3 ),
inference(definition_unfolding,[],[f138,f150]) ).
fof(f138,plain,
! [X2,X3] :
( X2 = X3
| ~ member(X3,intersection(complement(singleton(X2)),sK0))
| ~ member(X2,sK0) ),
inference(cnf_transformation,[],[f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET099+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.08/0.15 % 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
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 16:46:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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/tmp/tmp.E8gkun3XNJ/Vampire---4.8_29386
% 0.60/0.76 % (29754)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)
% 0.60/0.76 % (29747)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)
% 0.60/0.76 % (29749)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.76 % (29748)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)
% 0.60/0.76 % (29751)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)
% 0.60/0.76 % (29750)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)
% 0.60/0.76 % (29752)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)
% 0.60/0.76 % (29753)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)
% 0.60/0.76 % (29754)Refutation not found, incomplete strategy% (29754)------------------------------
% 0.60/0.76 % (29754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (29754)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.76
% 0.60/0.76 % (29754)Memory used [KB]: 1059
% 0.60/0.76 % (29754)Time elapsed: 0.002 s
% 0.60/0.76 % (29754)Instructions burned: 3 (million)
% 0.60/0.76 % (29754)------------------------------
% 0.60/0.76 % (29754)------------------------------
% 0.60/0.76 % (29758)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)
% 0.60/0.78 % (29750)Instruction limit reached!
% 0.60/0.78 % (29750)------------------------------
% 0.60/0.78 % (29750)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (29750)Termination reason: Unknown
% 0.60/0.78 % (29750)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (29750)Memory used [KB]: 1569
% 0.60/0.78 % (29750)Time elapsed: 0.020 s
% 0.60/0.78 % (29750)Instructions burned: 34 (million)
% 0.60/0.78 % (29750)------------------------------
% 0.60/0.78 % (29750)------------------------------
% 0.60/0.78 % (29747)Instruction limit reached!
% 0.60/0.78 % (29747)------------------------------
% 0.60/0.78 % (29747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (29747)Termination reason: Unknown
% 0.60/0.78 % (29747)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (29747)Memory used [KB]: 1390
% 0.60/0.78 % (29747)Time elapsed: 0.022 s
% 0.60/0.78 % (29747)Instructions burned: 34 (million)
% 0.60/0.78 % (29747)------------------------------
% 0.60/0.78 % (29747)------------------------------
% 0.60/0.78 % (29751)Instruction limit reached!
% 0.60/0.78 % (29751)------------------------------
% 0.60/0.78 % (29751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (29751)Termination reason: Unknown
% 0.60/0.78 % (29751)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (29751)Memory used [KB]: 1512
% 0.60/0.78 % (29751)Time elapsed: 0.022 s
% 0.60/0.78 % (29751)Instructions burned: 34 (million)
% 0.60/0.78 % (29751)------------------------------
% 0.60/0.78 % (29751)------------------------------
% 0.60/0.78 % (29758)Instruction limit reached!
% 0.60/0.78 % (29758)------------------------------
% 0.60/0.78 % (29758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (29758)Termination reason: Unknown
% 0.60/0.78 % (29758)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (29758)Memory used [KB]: 1826
% 0.60/0.78 % (29758)Time elapsed: 0.019 s
% 0.60/0.78 % (29758)Instructions burned: 57 (million)
% 0.60/0.78 % (29758)------------------------------
% 0.60/0.78 % (29758)------------------------------
% 0.60/0.78 % (29773)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 (2995ds/50Mi)
% 0.60/0.78 % (29777)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 Vampire---4 for (2995ds/518Mi)
% 0.60/0.78 % (29752)Instruction limit reached!
% 0.60/0.78 % (29752)------------------------------
% 0.60/0.78 % (29752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (29752)Termination reason: Unknown
% 0.60/0.78 % (29775)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 (2995ds/208Mi)
% 0.60/0.78 % (29752)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (29752)Memory used [KB]: 1238
% 0.60/0.78 % (29752)Time elapsed: 0.026 s
% 0.60/0.78 % (29752)Instructions burned: 46 (million)
% 0.60/0.78 % (29752)------------------------------
% 0.60/0.78 % (29752)------------------------------
% 0.60/0.79 % (29776)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 (2995ds/52Mi)
% 0.60/0.79 % (29775)Refutation not found, incomplete strategy% (29775)------------------------------
% 0.60/0.79 % (29775)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (29775)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (29775)Memory used [KB]: 1059
% 0.60/0.79 % (29775)Time elapsed: 0.004 s
% 0.60/0.79 % (29775)Instructions burned: 3 (million)
% 0.60/0.79 % (29775)------------------------------
% 0.60/0.79 % (29775)------------------------------
% 0.60/0.79 % (29781)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 Vampire---4 for (2995ds/42Mi)
% 0.60/0.79 % (29783)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 Vampire---4 for (2995ds/243Mi)
% 0.60/0.79 % (29781)Refutation not found, incomplete strategy% (29781)------------------------------
% 0.60/0.79 % (29781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (29781)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.79
% 0.60/0.79 % (29781)Memory used [KB]: 1147
% 0.60/0.79 % (29781)Time elapsed: 0.005 s
% 0.60/0.79 % (29781)Instructions burned: 6 (million)
% 0.60/0.79 % (29781)------------------------------
% 0.60/0.79 % (29781)------------------------------
% 0.60/0.79 % (29748)Instruction limit reached!
% 0.60/0.79 % (29748)------------------------------
% 0.60/0.79 % (29748)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (29748)Termination reason: Unknown
% 0.60/0.79 % (29748)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (29748)Memory used [KB]: 1744
% 0.60/0.79 % (29748)Time elapsed: 0.036 s
% 0.60/0.79 % (29748)Instructions burned: 51 (million)
% 0.60/0.79 % (29748)------------------------------
% 0.60/0.79 % (29748)------------------------------
% 0.60/0.80 % (29784)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.60/0.80 % (29784)Refutation not found, incomplete strategy% (29784)------------------------------
% 0.60/0.80 % (29784)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (29784)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80
% 0.60/0.80 % (29784)Memory used [KB]: 1056
% 0.60/0.80 % (29784)Time elapsed: 0.004 s
% 0.60/0.80 % (29784)Instructions burned: 3 (million)
% 0.60/0.80 % (29785)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2995ds/143Mi)
% 0.60/0.80 % (29784)------------------------------
% 0.60/0.80 % (29784)------------------------------
% 0.60/0.80 % (29776)First to succeed.
% 0.60/0.80 % (29788)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2995ds/93Mi)
% 0.60/0.80 % (29776)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29637"
% 0.60/0.80 % (29776)Refutation found. Thanks to Tanya!
% 0.60/0.80 % SZS status Theorem for Vampire---4
% 0.60/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81 % (29776)------------------------------
% 0.60/0.81 % (29776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (29776)Termination reason: Refutation
% 0.60/0.81
% 0.60/0.81 % (29776)Memory used [KB]: 1341
% 0.60/0.81 % (29776)Time elapsed: 0.020 s
% 0.60/0.81 % (29776)Instructions burned: 30 (million)
% 0.60/0.81 % (29637)Success in time 0.426 s
% 0.60/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------