TSTP Solution File: SEU238+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU238+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 : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:51:03 EDT 2024
% Result : Theorem 0.46s 0.65s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 117 ( 8 unt; 0 def)
% Number of atoms : 393 ( 31 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 475 ( 199 ~; 182 |; 54 &)
% ( 19 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 106 ( 94 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f694,plain,
$false,
inference(avatar_sat_refutation,[],[f264,f270,f275,f502,f510,f567,f571,f634,f643,f647,f690]) ).
fof(f690,plain,
( ~ spl16_2
| ~ spl16_3
| ~ spl16_4 ),
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f689,plain,
( $false
| ~ spl16_2
| ~ spl16_3
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f688,f286]) ).
fof(f286,plain,
! [X0] : ~ in(X0,X0),
inference(factoring,[],[f224]) ).
fof(f224,plain,
! [X0,X1] :
( ~ in(X1,X0)
| ~ in(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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.LeYiFCsSDd/Vampire---4.8_12176',antisymmetry_r2_hidden) ).
fof(f688,plain,
( in(sK0,sK0)
| ~ spl16_2
| ~ spl16_3
| ~ spl16_4 ),
inference(forward_demodulation,[],[f687,f267]) ).
fof(f267,plain,
( sK0 = set_union2(sK1,singleton(sK1))
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl16_3
<=> sK0 = set_union2(sK1,singleton(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f687,plain,
( in(set_union2(sK1,singleton(sK1)),sK0)
| ~ spl16_2
| ~ spl16_3
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f684,f273]) ).
fof(f273,plain,
( ordinal(sK1)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl16_4
<=> ordinal(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f684,plain,
( ~ ordinal(sK1)
| in(set_union2(sK1,singleton(sK1)),sK0)
| ~ spl16_2
| ~ spl16_3 ),
inference(resolution,[],[f653,f655]) ).
fof(f655,plain,
( in(sK1,sK0)
| ~ spl16_3 ),
inference(superposition,[],[f252,f267]) ).
fof(f252,plain,
! [X0] : in(X0,set_union2(X0,singleton(X0))),
inference(definition_unfolding,[],[f168,f160]) ).
fof(f160,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.LeYiFCsSDd/Vampire---4.8_12176',d1_ordinal1) ).
fof(f168,plain,
! [X0] : in(X0,succ(X0)),
inference(cnf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] : in(X0,succ(X0)),
file('/export/starexec/sandbox2/tmp/tmp.LeYiFCsSDd/Vampire---4.8_12176',t10_ordinal1) ).
fof(f653,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ ordinal(X0)
| in(set_union2(X0,singleton(X0)),sK0) )
| ~ spl16_2 ),
inference(subsumption_resolution,[],[f652,f148]) ).
fof(f148,plain,
ordinal(sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f114,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])],[f74,f113,f112]) ).
fof(f112,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(f113,plain,
( ? [X1] :
( succ(X1) = sK0
& ordinal(X1) )
=> ( sK0 = succ(sK1)
& ordinal(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f74,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,[],[f61]) ).
fof(f61,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,[],[f55]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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.LeYiFCsSDd/Vampire---4.8_12176',t42_ordinal1) ).
fof(f652,plain,
( ! [X0] :
( ~ in(X0,sK0)
| ~ ordinal(X0)
| in(set_union2(X0,singleton(X0)),sK0)
| ~ ordinal(sK0) )
| ~ spl16_2 ),
inference(resolution,[],[f263,f249]) ).
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,[],[f162,f160]) ).
fof(f162,plain,
! [X2,X0] :
( in(succ(X2),X0)
| ~ in(X2,X0)
| ~ ordinal(X2)
| ~ being_limit_ordinal(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,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])],[f116,f117]) ).
fof(f117,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(f116,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,[],[f115]) ).
fof(f115,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,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ( being_limit_ordinal(X0)
<=> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
| ~ ordinal(X0) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( being_limit_ordinal(X0)
<=> ! [X1] :
( in(succ(X1),X0)
| ~ in(X1,X0)
| ~ ordinal(X1) ) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ordinal(X0)
=> ( being_limit_ordinal(X0)
<=> ! [X1] :
( ordinal(X1)
=> ( in(X1,X0)
=> in(succ(X1),X0) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LeYiFCsSDd/Vampire---4.8_12176',t41_ordinal1) ).
fof(f263,plain,
( being_limit_ordinal(sK0)
| ~ spl16_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl16_2
<=> being_limit_ordinal(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f647,plain,
( ~ spl16_16
| spl16_20 ),
inference(avatar_split_clause,[],[f644,f573,f497]) ).
fof(f497,plain,
( spl16_16
<=> ordinal(sK2(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_16])]) ).
fof(f573,plain,
( spl16_20
<=> epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f644,plain,
( ~ ordinal(sK2(sK0))
| spl16_20 ),
inference(resolution,[],[f574,f255]) ).
fof(f255,plain,
! [X0] :
( epsilon_transitive(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f170,f160]) ).
fof(f170,plain,
! [X0] :
( epsilon_transitive(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ordinal(X0)
=> ( ordinal(succ(X0))
& epsilon_connected(succ(X0))
& epsilon_transitive(succ(X0))
& ~ empty(succ(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LeYiFCsSDd/Vampire---4.8_12176',fc3_ordinal1) ).
fof(f574,plain,
( ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl16_20 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f643,plain,
( ~ spl16_20
| spl16_2
| ~ spl16_27 ),
inference(avatar_split_clause,[],[f642,f632,f262,f573]) ).
fof(f632,plain,
( spl16_27
<=> proper_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_27])]) ).
fof(f642,plain,
( ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl16_2
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f641,f148]) ).
fof(f641,plain,
( ~ ordinal(sK0)
| ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl16_2
| ~ spl16_27 ),
inference(subsumption_resolution,[],[f639,f604]) ).
fof(f604,plain,
( ~ in(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| spl16_2 ),
inference(subsumption_resolution,[],[f602,f148]) ).
fof(f602,plain,
( ~ in(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| spl16_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,[],[f165,f160]) ).
fof(f165,plain,
! [X0] :
( being_limit_ordinal(X0)
| ~ in(succ(sK2(X0)),X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f269,plain,
( ~ being_limit_ordinal(sK0)
| spl16_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f639,plain,
( in(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| ~ epsilon_transitive(set_union2(sK2(sK0),singleton(sK2(sK0))))
| ~ spl16_27 ),
inference(resolution,[],[f633,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ proper_subset(X0,X1)
| in(X0,X1)
| ~ ordinal(X1)
| ~ epsilon_transitive(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( in(X0,X1)
| ~ proper_subset(X0,X1)
| ~ ordinal(X1) )
| ~ epsilon_transitive(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( epsilon_transitive(X0)
=> ! [X1] :
( ordinal(X1)
=> ( proper_subset(X0,X1)
=> in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LeYiFCsSDd/Vampire---4.8_12176',t21_ordinal1) ).
fof(f633,plain,
( proper_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ spl16_27 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( ~ spl16_16
| spl16_27
| ~ spl16_1
| ~ spl16_19 ),
inference(avatar_split_clause,[],[f629,f565,f259,f632,f497]) ).
fof(f259,plain,
( spl16_1
<=> ! [X2] :
( sK0 != set_union2(X2,singleton(X2))
| ~ ordinal(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f565,plain,
( spl16_19
<=> subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f629,plain,
( proper_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK2(sK0))
| ~ spl16_1
| ~ spl16_19 ),
inference(resolution,[],[f566,f611]) ).
fof(f611,plain,
( ! [X1] :
( ~ subset(set_union2(X1,singleton(X1)),sK0)
| proper_subset(set_union2(X1,singleton(X1)),sK0)
| ~ ordinal(X1) )
| ~ spl16_1 ),
inference(extensionality_resolution,[],[f159,f260]) ).
fof(f260,plain,
( ! [X2] :
( sK0 != set_union2(X2,singleton(X2))
| ~ ordinal(X2) )
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f159,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| X0 = X1
| proper_subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( proper_subset(X0,X1)
| X0 = X1
| ~ subset(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,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.LeYiFCsSDd/Vampire---4.8_12176',d8_xboole_0) ).
fof(f566,plain,
( subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ spl16_19 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f571,plain,
( ~ spl16_16
| spl16_18 ),
inference(avatar_split_clause,[],[f568,f562,f497]) ).
fof(f562,plain,
( spl16_18
<=> ordinal(set_union2(sK2(sK0),singleton(sK2(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_18])]) ).
fof(f568,plain,
( ~ ordinal(sK2(sK0))
| spl16_18 ),
inference(resolution,[],[f563,f253]) ).
fof(f253,plain,
! [X0] :
( ordinal(set_union2(X0,singleton(X0)))
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f172,f160]) ).
fof(f172,plain,
! [X0] :
( ordinal(succ(X0))
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f563,plain,
( ~ ordinal(set_union2(sK2(sK0),singleton(sK2(sK0))))
| spl16_18 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f567,plain,
( ~ spl16_18
| spl16_19
| ~ spl16_17 ),
inference(avatar_split_clause,[],[f560,f500,f565,f562]) ).
fof(f500,plain,
( spl16_17
<=> ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_17])]) ).
fof(f560,plain,
( subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(set_union2(sK2(sK0),singleton(sK2(sK0))))
| ~ spl16_17 ),
inference(subsumption_resolution,[],[f559,f148]) ).
fof(f559,plain,
( subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| ~ ordinal(set_union2(sK2(sK0),singleton(sK2(sK0))))
| ~ spl16_17 ),
inference(resolution,[],[f501,f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ ordinal_subset(X0,X1)
| subset(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( ( ordinal_subset(X0,X1)
| ~ subset(X0,X1) )
& ( subset(X0,X1)
| ~ ordinal_subset(X0,X1) ) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(nnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1] :
( ( ordinal_subset(X0,X1)
<=> subset(X0,X1) )
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0,X1] :
( ( ordinal(X1)
& ordinal(X0) )
=> ( ordinal_subset(X0,X1)
<=> subset(X0,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LeYiFCsSDd/Vampire---4.8_12176',redefinition_r1_ordinal1) ).
fof(f501,plain,
( ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ spl16_17 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f510,plain,
( spl16_2
| spl16_16 ),
inference(avatar_split_clause,[],[f509,f497,f262]) ).
fof(f509,plain,
( being_limit_ordinal(sK0)
| spl16_16 ),
inference(subsumption_resolution,[],[f503,f148]) ).
fof(f503,plain,
( being_limit_ordinal(sK0)
| ~ ordinal(sK0)
| spl16_16 ),
inference(resolution,[],[f498,f163]) ).
fof(f163,plain,
! [X0] :
( ordinal(sK2(X0))
| being_limit_ordinal(X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f498,plain,
( ~ ordinal(sK2(sK0))
| spl16_16 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f502,plain,
( ~ spl16_16
| spl16_17
| spl16_2 ),
inference(avatar_split_clause,[],[f495,f262,f500,f497]) ).
fof(f495,plain,
( ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK2(sK0))
| spl16_2 ),
inference(subsumption_resolution,[],[f491,f148]) ).
fof(f491,plain,
( ordinal_subset(set_union2(sK2(sK0),singleton(sK2(sK0))),sK0)
| ~ ordinal(sK0)
| ~ ordinal(sK2(sK0))
| spl16_2 ),
inference(resolution,[],[f251,f402]) ).
fof(f402,plain,
( in(sK2(sK0),sK0)
| spl16_2 ),
inference(subsumption_resolution,[],[f401,f148]) ).
fof(f401,plain,
( in(sK2(sK0),sK0)
| ~ ordinal(sK0)
| spl16_2 ),
inference(resolution,[],[f164,f269]) ).
fof(f164,plain,
! [X0] :
( being_limit_ordinal(X0)
| in(sK2(X0),X0)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f251,plain,
! [X0,X1] :
( ~ in(X0,X1)
| ordinal_subset(set_union2(X0,singleton(X0)),X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(definition_unfolding,[],[f166,f160]) ).
fof(f166,plain,
! [X0,X1] :
( ordinal_subset(succ(X0),X1)
| ~ in(X0,X1)
| ~ ordinal(X1)
| ~ ordinal(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,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,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( in(X0,X1)
<=> ordinal_subset(succ(X0),X1) )
| ~ ordinal(X1) )
| ~ ordinal(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ordinal(X0)
=> ! [X1] :
( ordinal(X1)
=> ( in(X0,X1)
<=> ordinal_subset(succ(X0),X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.LeYiFCsSDd/Vampire---4.8_12176',t33_ordinal1) ).
fof(f275,plain,
( ~ spl16_2
| spl16_4 ),
inference(avatar_split_clause,[],[f149,f272,f262]) ).
fof(f149,plain,
( ordinal(sK1)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f270,plain,
( ~ spl16_2
| spl16_3 ),
inference(avatar_split_clause,[],[f246,f266,f262]) ).
fof(f246,plain,
( sK0 = set_union2(sK1,singleton(sK1))
| ~ being_limit_ordinal(sK0) ),
inference(definition_unfolding,[],[f151,f160]) ).
fof(f151,plain,
( sK0 = succ(sK1)
| ~ being_limit_ordinal(sK0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f264,plain,
( spl16_1
| spl16_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,[],[f154,f160]) ).
fof(f154,plain,
! [X2] :
( being_limit_ordinal(sK0)
| succ(X2) != sK0
| ~ ordinal(X2) ),
inference(cnf_transformation,[],[f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.09 % 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
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Apr 30 16:14:36 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a FOF_THM_RFO_SEQ problem
% 0.09/0.28 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.LeYiFCsSDd/Vampire---4.8_12176
% 0.46/0.63 % (12567)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)
% 0.46/0.63 % (12572)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)
% 0.46/0.63 % (12573)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)
% 0.46/0.63 % (12566)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)
% 0.46/0.63 % (12571)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)
% 0.46/0.63 % (12573)Refutation not found, incomplete strategy% (12573)------------------------------
% 0.46/0.63 % (12573)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63 % (12569)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)
% 0.46/0.63 % (12573)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63
% 0.46/0.63 % (12573)Memory used [KB]: 1042
% 0.46/0.63 % (12573)Time elapsed: 0.002 s
% 0.46/0.63 % (12573)Instructions burned: 3 (million)
% 0.46/0.63 % (12573)------------------------------
% 0.46/0.63 % (12573)------------------------------
% 0.46/0.63 % (12570)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)
% 0.46/0.63 % (12566)Refutation not found, incomplete strategy% (12566)------------------------------
% 0.46/0.63 % (12566)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63 % (12566)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63
% 0.46/0.63 % (12566)Memory used [KB]: 1058
% 0.46/0.63 % (12566)Time elapsed: 0.002 s
% 0.46/0.63 % (12566)Instructions burned: 3 (million)
% 0.46/0.63 % (12566)------------------------------
% 0.46/0.63 % (12566)------------------------------
% 0.46/0.63 % (12568)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.63 % (12571)Refutation not found, incomplete strategy% (12571)------------------------------
% 0.46/0.63 % (12571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63 % (12571)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63
% 0.46/0.63 % (12571)Memory used [KB]: 1078
% 0.46/0.63 % (12571)Time elapsed: 0.003 s
% 0.46/0.63 % (12571)Instructions burned: 4 (million)
% 0.46/0.63 % (12571)------------------------------
% 0.46/0.63 % (12571)------------------------------
% 0.46/0.63 % (12575)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)
% 0.46/0.63 % (12570)Refutation not found, incomplete strategy% (12570)------------------------------
% 0.46/0.63 % (12570)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.63 % (12570)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.63
% 0.46/0.63 % (12570)Memory used [KB]: 1138
% 0.46/0.63 % (12570)Time elapsed: 0.005 s
% 0.46/0.63 % (12570)Instructions burned: 5 (million)
% 0.46/0.63 % (12570)------------------------------
% 0.46/0.63 % (12570)------------------------------
% 0.46/0.63 % (12576)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)
% 0.46/0.63 % (12578)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)
% 0.46/0.64 % (12578)Refutation not found, incomplete strategy% (12578)------------------------------
% 0.46/0.64 % (12578)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.64 % (12578)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (12578)Memory used [KB]: 1066
% 0.46/0.64 % (12578)Time elapsed: 0.003 s
% 0.46/0.64 % (12578)Instructions burned: 5 (million)
% 0.46/0.64 % (12578)------------------------------
% 0.46/0.64 % (12578)------------------------------
% 0.46/0.64 % (12580)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)
% 0.46/0.64 % (12582)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)
% 0.46/0.64 % (12569)Instruction limit reached!
% 0.46/0.64 % (12569)------------------------------
% 0.46/0.64 % (12569)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.64 % (12569)Termination reason: Unknown
% 0.46/0.64 % (12569)Termination phase: Saturation
% 0.46/0.64
% 0.46/0.64 % (12569)Memory used [KB]: 1325
% 0.46/0.64 % (12569)Time elapsed: 0.015 s
% 0.46/0.64 % (12569)Instructions burned: 33 (million)
% 0.46/0.64 % (12569)------------------------------
% 0.46/0.64 % (12569)------------------------------
% 0.46/0.64 % (12582)Refutation not found, incomplete strategy% (12582)------------------------------
% 0.46/0.64 % (12582)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.64 % (12582)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.64
% 0.46/0.64 % (12582)Memory used [KB]: 1180
% 0.46/0.64 % (12582)Time elapsed: 0.005 s
% 0.46/0.64 % (12582)Instructions burned: 9 (million)
% 0.46/0.64 % (12582)------------------------------
% 0.46/0.64 % (12582)------------------------------
% 0.46/0.65 % (12567)Instruction limit reached!
% 0.46/0.65 % (12567)------------------------------
% 0.46/0.65 % (12567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.65 % (12567)Termination reason: Unknown
% 0.46/0.65 % (12567)Termination phase: Saturation
% 0.46/0.65
% 0.46/0.65 % (12567)Memory used [KB]: 1752
% 0.46/0.65 % (12567)Time elapsed: 0.019 s
% 0.46/0.65 % (12567)Instructions burned: 53 (million)
% 0.46/0.65 % (12567)------------------------------
% 0.46/0.65 % (12567)------------------------------
% 0.46/0.65 % (12585)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)
% 0.46/0.65 % (12587)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)
% 0.46/0.65 % (12575)Instruction limit reached!
% 0.46/0.65 % (12575)------------------------------
% 0.46/0.65 % (12575)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.65 % (12575)Termination reason: Unknown
% 0.46/0.65 % (12575)Termination phase: Saturation
% 0.46/0.65
% 0.46/0.65 % (12575)Memory used [KB]: 1851
% 0.46/0.65 % (12575)Time elapsed: 0.016 s
% 0.46/0.65 % (12575)Instructions burned: 55 (million)
% 0.46/0.65 % (12575)------------------------------
% 0.46/0.65 % (12575)------------------------------
% 0.46/0.65 % (12590)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)
% 0.46/0.65 % (12585)Refutation not found, incomplete strategy% (12585)------------------------------
% 0.46/0.65 % (12585)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.65 % (12585)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.65
% 0.46/0.65 % (12585)Memory used [KB]: 1139
% 0.46/0.65 % (12585)Time elapsed: 0.004 s
% 0.46/0.65 % (12585)Instructions burned: 5 (million)
% 0.46/0.65 % (12585)------------------------------
% 0.46/0.65 % (12585)------------------------------
% 0.46/0.65 % (12591)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 (2996ds/143Mi)
% 0.46/0.65 % (12580)First to succeed.
% 0.46/0.65 % (12572)Instruction limit reached!
% 0.46/0.65 % (12572)------------------------------
% 0.46/0.65 % (12572)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.65 % (12572)Termination reason: Unknown
% 0.46/0.65 % (12572)Termination phase: Saturation
% 0.46/0.65
% 0.46/0.65 % (12572)Memory used [KB]: 2030
% 0.46/0.65 % (12572)Time elapsed: 0.024 s
% 0.46/0.65 % (12572)Instructions burned: 85 (million)
% 0.46/0.65 % (12572)------------------------------
% 0.46/0.65 % (12572)------------------------------
% 0.46/0.65 % (12576)Instruction limit reached!
% 0.46/0.65 % (12576)------------------------------
% 0.46/0.65 % (12576)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.65 % (12576)Termination reason: Unknown
% 0.46/0.65 % (12576)Termination phase: Saturation
% 0.46/0.65
% 0.46/0.65 % (12576)Memory used [KB]: 1535
% 0.46/0.65 % (12576)Time elapsed: 0.020 s
% 0.46/0.65 % (12576)Instructions burned: 51 (million)
% 0.46/0.65 % (12576)------------------------------
% 0.46/0.65 % (12576)------------------------------
% 0.46/0.65 % (12592)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 (2996ds/93Mi)
% 0.46/0.65 % (12580)Refutation found. Thanks to Tanya!
% 0.46/0.65 % SZS status Theorem for Vampire---4
% 0.46/0.65 % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.65 % (12580)------------------------------
% 0.46/0.65 % (12580)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.46/0.65 % (12580)Termination reason: Refutation
% 0.46/0.65
% 0.46/0.65 % (12580)Memory used [KB]: 1221
% 0.46/0.65 % (12580)Time elapsed: 0.016 s
% 0.46/0.65 % (12580)Instructions burned: 25 (million)
% 0.46/0.65 % (12580)------------------------------
% 0.46/0.65 % (12580)------------------------------
% 0.46/0.65 % (12391)Success in time 0.359 s
% 0.46/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------