TSTP Solution File: SEU238+3 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU238+3 : TPTP v8.1.2. Released v3.2.0.
% 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 : n013.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 09:21:25 EDT 2024
% Result : Theorem 0.61s 0.78s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 129 ( 14 unt; 0 def)
% Number of atoms : 416 ( 34 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 499 ( 212 ~; 192 |; 54 &)
% ( 20 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 114 ( 102 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f739,plain,
$false,
inference(avatar_sat_refutation,[],[f264,f270,f275,f546,f554,f604,f658,f662,f677,f685,f689,f731]) ).
fof(f731,plain,
( ~ spl17_18
| ~ spl17_1
| ~ spl17_31 ),
inference(avatar_split_clause,[],[f730,f675,f259,f541]) ).
fof(f541,plain,
( spl17_18
<=> ordinal(sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f259,plain,
( spl17_1
<=> ! [X2] :
( sK0 != set_union2(X2,singleton(X2))
| ~ ordinal(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f675,plain,
( spl17_31
<=> sK0 = set_union2(sK2(sK0),singleton(sK2(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f730,plain,
( ~ ordinal(sK2(sK0))
| ~ spl17_1
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f729,f212]) ).
fof(f212,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] : ~ proper_subset(X0,X0),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X0,X1] : ~ proper_subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',irreflexivity_r2_xboole_0) ).
fof(f729,plain,
( proper_subset(sK0,sK0)
| ~ ordinal(sK2(sK0))
| ~ spl17_1
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f714,f216]) ).
fof(f216,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',reflexivity_r1_tarski) ).
fof(f714,plain,
( ~ subset(sK0,sK0)
| proper_subset(sK0,sK0)
| ~ ordinal(sK2(sK0))
| ~ spl17_1
| ~ spl17_31 ),
inference(superposition,[],[f630,f676]) ).
fof(f676,plain,
( sK0 = set_union2(sK2(sK0),singleton(sK2(sK0)))
| ~ spl17_31 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f630,plain,
( ! [X1] :
( ~ subset(set_union2(X1,singleton(X1)),sK0)
| proper_subset(set_union2(X1,singleton(X1)),sK0)
| ~ ordinal(X1) )
| ~ spl17_1 ),
inference(extensionality_resolution,[],[f157,f260]) ).
fof(f260,plain,
( ! [X2] :
( sK0 != set_union2(X2,singleton(X2))
| ~ ordinal(X2) )
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f157,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ( X0 != X1
& subset(X0,X1) )
=> proper_subset(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( proper_subset(X0,X1)
<=> ( X0 != X1
& subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',d8_xboole_0) ).
fof(f689,plain,
( ~ spl17_18
| spl17_28 ),
inference(avatar_split_clause,[],[f686,f664,f541]) ).
fof(f664,plain,
( spl17_28
<=> epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f686,plain,
( ~ ordinal(sK2(sK0))
| spl17_28 ),
inference(resolution,[],[f665,f255]) ).
fof(f255,plain,
! [X0] :
( epsilon_transitive(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f168,f158]) ).
fof(f158,plain,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : succ(X0) = set_union2(X0,singleton(X0)),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',d1_ordinal1) ).
fof(f168,plain,
! [X0] :
( epsilon_transitive(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] :
( ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ordinal(X0)
=> ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',fc3_ordinal1) ).
fof(f665,plain,
( ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl17_28 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f685,plain,
( ~ spl17_28
| spl17_2
| ~ spl17_30 ),
inference(avatar_split_clause,[],[f684,f672,f262,f664]) ).
fof(f262,plain,
( spl17_2
<=> being_limit_ordinal(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f672,plain,
( spl17_30
<=> proper_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f684,plain,
( ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl17_2
| ~ spl17_30 ),
inference(subsumption_resolution,[],[f683,f146]) ).
fof(f146,plain,
ordinal(sK0),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
( ( ( being_limit_ordinal(sK0)
& sK0 = succ(sK1)
& ordinal(sK1) )
| ( ! [X2] :
( succ(X2) != sK0
| ~ ordinal(X2) )
& ~ being_limit_ordinal(sK0) ) )
& ordinal(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f70,f109,f108]) ).
fof(f108,plain,
( ? [X0] :
( ( ( being_limit_ordinal(X0)
& ? [X1] :
( succ(X1) = X0
& ordinal(X1) ) )
| ( ! [X2] :
( succ(X2) != X0
| ~ ordinal(X2) )
& ~ being_limit_ordinal(X0) ) )
& ordinal(X0) )
=> ( ( ( being_limit_ordinal(sK0)
& ? [X1] :
( succ(X1) = sK0
& ordinal(X1) ) )
| ( ! [X2] :
( succ(X2) != sK0
| ~ ordinal(X2) )
& ~ being_limit_ordinal(sK0) ) )
& ordinal(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
( ? [X1] :
( succ(X1) = sK0
& ordinal(X1) )
=> ( sK0 = succ(sK1)
& ordinal(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
? [X0] :
( ( ( being_limit_ordinal(X0)
& ? [X1] :
( succ(X1) = X0
& ordinal(X1) ) )
| ( ! [X2] :
( succ(X2) != X0
| ~ ordinal(X2) )
& ~ being_limit_ordinal(X0) ) )
& ordinal(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X0] :
( ordinal(X0)
=> ( ~ ( being_limit_ordinal(X0)
& ? [X1] :
( succ(X1) = X0
& ordinal(X1) ) )
& ~ ( ! [X2] :
( ordinal(X2)
=> succ(X2) != X0 )
& ~ being_limit_ordinal(X0) ) ) ),
inference(rectify,[],[f50]) ).
fof(f50,negated_conjecture,
~ ! [X0] :
( ordinal(X0)
=> ( ~ ( being_limit_ordinal(X0)
& ? [X1] :
( succ(X1) = X0
& ordinal(X1) ) )
& ~ ( ! [X1] :
( ordinal(X1)
=> succ(X1) != X0 )
& ~ being_limit_ordinal(X0) ) ) ),
inference(negated_conjecture,[],[f49]) ).
fof(f49,conjecture,
! [X0] :
( ordinal(X0)
=> ( ~ ( being_limit_ordinal(X0)
& ? [X1] :
( succ(X1) = X0
& ordinal(X1) ) )
& ~ ( ! [X1] :
( ordinal(X1)
=> succ(X1) != X0 )
& ~ being_limit_ordinal(X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',t42_ordinal1) ).
fof(f683,plain,
( ~ ordinal(sK0)
| ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl17_2
| ~ spl17_30 ),
inference(subsumption_resolution,[],[f681,f627]) ).
fof(f627,plain,
( ~ in(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| spl17_2 ),
inference(subsumption_resolution,[],[f625,f146]) ).
fof(f625,plain,
( ~ in(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| spl17_2 ),
inference(resolution,[],[f269,f248]) ).
fof(f248,plain,
! [X0] :
( being_limit_ordinal(X0)
| ~ in(set_union2(sK2(X0),singleton(sK2(X0))),X0)
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f163,f158]) ).
fof(f163,plain,
! [X0] :
( being_limit_ordinal(X0)
| ~ in(succ(sK2(X0)),X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ( ( being_limit_ordinal(X0)
| ( ~ in(succ(sK2(X0)),X0)
& in(sK2(X0),X0)
& ordinal(sK2(X0)) ) )
& ( ! [X2] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2) )
| ~ being_limit_ordinal(X0) ) )
| ~ ordinal(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f112,f113]) ).
fof(f113,plain,
! [X0] :
( ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) )
=> ( ~ in(succ(sK2(X0)),X0)
& in(sK2(X0),X0)
& ordinal(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0] :
( ( ( being_limit_ordinal(X0)
| ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) ) )
& ( ! [X2] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2) )
| ~ being_limit_ordinal(X0) ) )
| ~ ordinal(X0) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ( ( being_limit_ordinal(X0)
| ? [X1] :
( ~ in(succ(X1),X0)
& in(X1,X0)
& ordinal(X1) ) )
& ( ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) )
| ~ being_limit_ordinal(X0) ) )
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( being_limit_ordinal(X0)
<=> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
| ~ ordinal(X0) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( being_limit_ordinal(X0)
<=> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',t41_ordinal1) ).
fof(f269,plain,
( ~ being_limit_ordinal(sK0)
| spl17_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f681,plain,
( in(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| ~ spl17_30 ),
inference(resolution,[],[f673,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',t21_ordinal1) ).
fof(f673,plain,
( proper_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ spl17_30 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f677,plain,
( spl17_30
| spl17_31
| ~ spl17_27 ),
inference(avatar_split_clause,[],[f670,f656,f675,f672]) ).
fof(f656,plain,
( spl17_27
<=> subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f670,plain,
( sK0 = set_union2(sK2(sK0),singleton(sK2(sK0)))
| proper_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ spl17_27 ),
inference(resolution,[],[f657,f157]) ).
fof(f657,plain,
( subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ spl17_27 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f662,plain,
( ~ spl17_18
| spl17_26 ),
inference(avatar_split_clause,[],[f659,f653,f541]) ).
fof(f653,plain,
( spl17_26
<=> ordinal(set_union2(sK2(sK0),singleton(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f659,plain,
( ~ ordinal(sK2(sK0))
| spl17_26 ),
inference(resolution,[],[f654,f253]) ).
fof(f253,plain,
! [X0] :
( ordinal(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f170,f158]) ).
fof(f170,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f654,plain,
( ~ ordinal(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl17_26 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f658,plain,
( ~ spl17_26
| spl17_27
| ~ spl17_19 ),
inference(avatar_split_clause,[],[f651,f544,f656,f653]) ).
fof(f544,plain,
( spl17_19
<=> ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f651,plain,
( subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(set_union2(sK2(sK0),singleton(sK2(sK0))))
| ~ spl17_19 ),
inference(subsumption_resolution,[],[f650,f146]) ).
fof(f650,plain,
( subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| ~ ordinal(set_union2(sK2(sK0),singleton(sK2(sK0))))
| ~ spl17_19 ),
inference(resolution,[],[f545,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ ordinal_subset(X0,X1)
| subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',redefinition_r1_ordinal1) ).
fof(f545,plain,
( ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ spl17_19 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f604,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(avatar_contradiction_clause,[],[f603]) ).
fof(f603,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f602,f286]) ).
fof(f286,plain,
! [X0] : ~ in(X0,X0),
inference(factoring,[],[f222]) ).
fof(f222,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in(X0,X1)
=> ~ in(X1,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',antisymmetry_r2_hidden) ).
fof(f602,plain,
( in(sK0,sK0)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(forward_demodulation,[],[f601,f267]) ).
fof(f267,plain,
( sK0 = set_union2(sK1,singleton(sK1))
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl17_3
<=> sK0 = set_union2(sK1,singleton(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f601,plain,
( in(set_union2(sK1,singleton(sK1)),sK0)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_4 ),
inference(subsumption_resolution,[],[f599,f273]) ).
fof(f273,plain,
( ordinal(sK1)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl17_4
<=> ordinal(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f599,plain,
( ~ ordinal(sK1)
| in(set_union2(sK1,singleton(sK1)),sK0)
| ~ spl17_2
| ~ spl17_3 ),
inference(resolution,[],[f579,f356]) ).
fof(f356,plain,
( in(sK1,sK0)
| ~ spl17_3 ),
inference(superposition,[],[f252,f267]) ).
fof(f252,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f166,f158]) ).
fof(f166,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',t10_ordinal1) ).
fof(f579,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ ordinal(X0)
| in(set_union2(X0,singleton(X0)),sK0) )
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f576,f146]) ).
fof(f576,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ ordinal(X0)
| in(set_union2(X0,singleton(X0)),sK0)
| ~ ordinal(sK0) )
| ~ spl17_2 ),
inference(resolution,[],[f249,f263]) ).
fof(f263,plain,
( being_limit_ordinal(sK0)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f249,plain,
! [X2,X0] :
( ~ being_limit_ordinal(X0)
| ~ in(X2,X0)
| ~ ordinal(X2)
| in(set_union2(X2,singleton(X2)),X0)
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f160,f158]) ).
fof(f160,plain,
! [X2,X0] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2)
| ~ being_limit_ordinal(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f554,plain,
( spl17_2
| spl17_18 ),
inference(avatar_split_clause,[],[f553,f541,f262]) ).
fof(f553,plain,
( being_limit_ordinal(sK0)
| spl17_18 ),
inference(subsumption_resolution,[],[f547,f146]) ).
fof(f547,plain,
( being_limit_ordinal(sK0)
| ~ ordinal(sK0)
| spl17_18 ),
inference(resolution,[],[f542,f161]) ).
fof(f161,plain,
! [X0] :
( ordinal(sK2(X0))
| being_limit_ordinal(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f542,plain,
( ~ ordinal(sK2(sK0))
| spl17_18 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f546,plain,
( ~ spl17_18
| spl17_19
| spl17_2 ),
inference(avatar_split_clause,[],[f539,f262,f544,f541]) ).
fof(f539,plain,
( ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK2(sK0))
| spl17_2 ),
inference(subsumption_resolution,[],[f534,f146]) ).
fof(f534,plain,
( ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| ~ ordinal(sK2(sK0))
| spl17_2 ),
inference(resolution,[],[f251,f404]) ).
fof(f404,plain,
( in(sK2(sK0),sK0)
| spl17_2 ),
inference(subsumption_resolution,[],[f403,f146]) ).
fof(f403,plain,
( in(sK2(sK0),sK0)
| ~ ordinal(sK0)
| spl17_2 ),
inference(resolution,[],[f162,f269]) ).
fof(f162,plain,
! [X0] :
( being_limit_ordinal(X0)
| in(sK2(X0),X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f251,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal_subset(set_union2(X0,singleton(X0)),X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f164,f158]) ).
fof(f164,plain,
! [X0,X1] :
( ordinal_subset(succ(X0),X1)
| ~ in(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ( ( in(X0,X1)
| ~ ordinal_subset(succ(X0),X1) )
& ( ordinal_subset(succ(X0),X1)
| ~ in(X0,X1) ) )
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ( in(X0,X1)
<=> ordinal_subset(succ(X0),X1) )
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,X1)
<=> ordinal_subset(succ(X0),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742',t33_ordinal1) ).
fof(f275,plain,
( ~ spl17_2
| spl17_4 ),
inference(avatar_split_clause,[],[f147,f272,f262]) ).
fof(f147,plain,
( ordinal(sK1)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f270,plain,
( ~ spl17_2
| spl17_3 ),
inference(avatar_split_clause,[],[f246,f266,f262]) ).
fof(f246,plain,
( sK0 = set_union2(sK1,singleton(sK1))
| ~ being_limit_ordinal(sK0) ),
inference(definition_unfolding,[],[f149,f158]) ).
fof(f149,plain,
( sK0 = succ(sK1)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f264,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f244,f262,f259]) ).
fof(f244,plain,
! [X2] :
( being_limit_ordinal(sK0)
| sK0 != set_union2(X2,singleton(X2))
| ~ ordinal(X2) ),
inference(definition_unfolding,[],[f152,f158]) ).
fof(f152,plain,
! [X2] :
( being_limit_ordinal(sK0)
| succ(X2) != sK0
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU238+3 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n013.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 11:07:34 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.LSknUWU3U6/Vampire---4.8_13742
% 0.54/0.75 % (14195)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)
% 0.54/0.75 % (14188)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)
% 0.54/0.75 % (14190)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75 % (14195)Refutation not found, incomplete strategy% (14195)------------------------------
% 0.54/0.75 % (14195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75 % (14191)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)
% 0.54/0.75 % (14192)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)
% 0.54/0.75 % (14195)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75
% 0.54/0.75 % (14195)Memory used [KB]: 1042
% 0.54/0.75 % (14195)Time elapsed: 0.002 s
% 0.54/0.75 % (14195)Instructions burned: 3 (million)
% 0.54/0.75 % (14193)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)
% 0.54/0.75 % (14189)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)
% 0.54/0.75 % (14194)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)
% 0.54/0.75 % (14195)------------------------------
% 0.54/0.75 % (14195)------------------------------
% 0.54/0.76 % (14188)Refutation not found, incomplete strategy% (14188)------------------------------
% 0.54/0.76 % (14188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (14188)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (14188)Memory used [KB]: 1058
% 0.54/0.76 % (14188)Time elapsed: 0.004 s
% 0.54/0.76 % (14188)Instructions burned: 3 (million)
% 0.54/0.76 % (14188)------------------------------
% 0.54/0.76 % (14188)------------------------------
% 0.54/0.76 % (14192)Refutation not found, incomplete strategy% (14192)------------------------------
% 0.54/0.76 % (14192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (14192)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (14192)Memory used [KB]: 1139
% 0.54/0.76 % (14192)Time elapsed: 0.004 s
% 0.54/0.76 % (14192)Instructions burned: 5 (million)
% 0.54/0.76 % (14198)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)
% 0.54/0.76 % (14193)Refutation not found, incomplete strategy% (14193)------------------------------
% 0.54/0.76 % (14193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76 % (14193)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.76
% 0.54/0.76 % (14193)Memory used [KB]: 1078
% 0.54/0.76 % (14193)Time elapsed: 0.004 s
% 0.54/0.76 % (14193)Instructions burned: 4 (million)
% 0.54/0.76 % (14192)------------------------------
% 0.54/0.76 % (14192)------------------------------
% 0.54/0.76 % (14193)------------------------------
% 0.54/0.76 % (14193)------------------------------
% 0.54/0.76 % (14200)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.61/0.76 % (14201)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.61/0.76 % (14202)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.61/0.76 % (14201)Refutation not found, incomplete strategy% (14201)------------------------------
% 0.61/0.76 % (14201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76 % (14201)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76
% 0.61/0.76 % (14201)Memory used [KB]: 1066
% 0.61/0.76 % (14201)Time elapsed: 0.005 s
% 0.61/0.76 % (14201)Instructions burned: 5 (million)
% 0.61/0.76 % (14201)------------------------------
% 0.61/0.76 % (14201)------------------------------
% 0.61/0.77 % (14191)Instruction limit reached!
% 0.61/0.77 % (14191)------------------------------
% 0.61/0.77 % (14191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (14191)Termination reason: Unknown
% 0.61/0.77 % (14191)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (14191)Memory used [KB]: 1328
% 0.61/0.77 % (14191)Time elapsed: 0.015 s
% 0.61/0.77 % (14191)Instructions burned: 34 (million)
% 0.61/0.77 % (14191)------------------------------
% 0.61/0.77 % (14191)------------------------------
% 0.61/0.77 % (14207)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 (2996ds/518Mi)
% 0.61/0.77 % (14209)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 (2996ds/42Mi)
% 0.61/0.77 % (14198)Instruction limit reached!
% 0.61/0.77 % (14198)------------------------------
% 0.61/0.77 % (14198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (14198)Termination reason: Unknown
% 0.61/0.77 % (14198)Termination phase: Saturation
% 0.61/0.77
% 0.61/0.77 % (14198)Memory used [KB]: 1829
% 0.61/0.77 % (14198)Time elapsed: 0.018 s
% 0.61/0.77 % (14198)Instructions burned: 56 (million)
% 0.61/0.77 % (14198)------------------------------
% 0.61/0.77 % (14198)------------------------------
% 0.61/0.77 % (14209)Refutation not found, incomplete strategy% (14209)------------------------------
% 0.61/0.77 % (14209)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77 % (14209)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (14209)Memory used [KB]: 1140
% 0.61/0.77 % (14209)Time elapsed: 0.004 s
% 0.61/0.77 % (14209)Instructions burned: 5 (million)
% 0.61/0.77 % (14209)------------------------------
% 0.61/0.77 % (14209)------------------------------
% 0.61/0.78 % (14207)Refutation not found, incomplete strategy% (14207)------------------------------
% 0.61/0.78 % (14207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (14207)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (14207)Memory used [KB]: 1181
% 0.61/0.78 % (14207)Time elapsed: 0.007 s
% 0.61/0.78 % (14207)Instructions burned: 9 (million)
% 0.61/0.78 % (14207)------------------------------
% 0.61/0.78 % (14207)------------------------------
% 0.61/0.78 % (14213)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 (2996ds/243Mi)
% 0.61/0.78 % (14202)First to succeed.
% 0.61/0.78 % (14202)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14012"
% 0.61/0.78 % (14214)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 (2996ds/117Mi)
% 0.61/0.78 % (14202)Refutation found. Thanks to Tanya!
% 0.61/0.78 % SZS status Theorem for Vampire---4
% 0.61/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78 % (14202)------------------------------
% 0.61/0.78 % (14202)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78 % (14202)Termination reason: Refutation
% 0.61/0.78
% 0.61/0.78 % (14202)Memory used [KB]: 1232
% 0.61/0.78 % (14202)Time elapsed: 0.018 s
% 0.61/0.78 % (14202)Instructions burned: 25 (million)
% 0.61/0.78 % (14012)Success in time 0.403 s
% 0.61/0.78 % Vampire---4.8 exiting
%------------------------------------------------------------------------------