TSTP Solution File: GRA012+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRA012+1 : TPTP v8.1.2. Bugfixed 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 05:43:20 EDT 2024
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 30
% Syntax : Number of formulae : 187 ( 14 unt; 0 def)
% Number of atoms : 671 ( 144 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 839 ( 355 ~; 352 |; 75 &)
% ( 26 <=>; 27 =>; 0 <=; 4 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 13 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 286 ( 269 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f711,plain,
$false,
inference(avatar_sat_refutation,[],[f168,f173,f178,f183,f220,f257,f471,f651,f676,f685,f707,f710]) ).
fof(f710,plain,
( ~ spl29_4
| ~ spl29_6
| ~ spl29_7 ),
inference(avatar_contradiction_clause,[],[f709]) ).
fof(f709,plain,
( $false
| ~ spl29_4
| ~ spl29_6
| ~ spl29_7 ),
inference(subsumption_resolution,[],[f708,f208]) ).
fof(f208,plain,
( head_of(sK6(sK0)) != tail_of(sK6(sK0))
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f201,f50]) ).
fof(f50,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( head_of(X0) != tail_of(X0)
| ~ edge(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( edge(X0)
=> head_of(X0) != tail_of(X0) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',no_loops) ).
fof(f201,plain,
( edge(sK6(sK0))
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f177,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( sequential(X0,X1)
<=> ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] :
( sequential(X6,X7)
<=> ( head_of(X6) = tail_of(X7)
& X6 != X7
& edge(X7)
& edge(X6) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',sequential_defn) ).
fof(f177,plain,
( sequential(sK6(sK0),sK7(sK0))
| ~ spl29_4 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f175,plain,
( spl29_4
<=> sequential(sK6(sK0),sK7(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).
fof(f708,plain,
( head_of(sK6(sK0)) = tail_of(sK6(sK0))
| ~ spl29_6
| ~ spl29_7 ),
inference(forward_demodulation,[],[f251,f256]) ).
fof(f256,plain,
( sK6(sK0) = sK7(sK0)
| ~ spl29_7 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl29_7
<=> sK6(sK0) = sK7(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).
fof(f251,plain,
( tail_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl29_6
<=> tail_of(sK6(sK0)) = head_of(sK7(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).
fof(f707,plain,
( ~ spl29_4
| spl29_6
| ~ spl29_22 ),
inference(avatar_contradiction_clause,[],[f706]) ).
fof(f706,plain,
( $false
| ~ spl29_4
| spl29_6
| ~ spl29_22 ),
inference(subsumption_resolution,[],[f705,f217]) ).
fof(f217,plain,
( head_of(sK6(sK0)) != head_of(sK7(sK0))
| ~ spl29_4 ),
inference(forward_demodulation,[],[f212,f203]) ).
fof(f203,plain,
( head_of(sK6(sK0)) = tail_of(sK7(sK0))
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f177,f82]) ).
fof(f82,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| head_of(X0) = tail_of(X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f212,plain,
( tail_of(sK7(sK0)) != head_of(sK7(sK0))
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f202,f50]) ).
fof(f202,plain,
( edge(sK7(sK0))
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f177,f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f705,plain,
( head_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_4
| spl29_6
| ~ spl29_22 ),
inference(subsumption_resolution,[],[f704,f49]) ).
fof(f49,plain,
complete,
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ? [X0,X1,X2] :
( minus(length_of(X0),n1) != number_of_in(triangles,X0)
& shortest_path(X1,X2,X0) )
& complete ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ( complete
=> ! [X0,X1,X2] :
( shortest_path(X1,X2,X0)
=> minus(length_of(X0),n1) = number_of_in(triangles,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( complete
=> ! [X3,X1,X2] :
( shortest_path(X1,X2,X3)
=> minus(length_of(X3),n1) = number_of_in(triangles,X3) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( complete
=> ! [X3,X1,X2] :
( shortest_path(X1,X2,X3)
=> minus(length_of(X3),n1) = number_of_in(triangles,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',triangles_on_a_path) ).
fof(f704,plain,
( ~ complete
| head_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_4
| spl29_6
| ~ spl29_22 ),
inference(subsumption_resolution,[],[f703,f252]) ).
fof(f252,plain,
( tail_of(sK6(sK0)) != head_of(sK7(sK0))
| spl29_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f703,plain,
( tail_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ complete
| head_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_4
| ~ spl29_22 ),
inference(subsumption_resolution,[],[f702,f210]) ).
fof(f210,plain,
( vertex(tail_of(sK6(sK0)))
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f201,f71]) ).
fof(f71,plain,
! [X0] :
( vertex(tail_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( vertex(tail_of(X0))
& vertex(head_of(X0)) )
| ~ edge(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( edge(X0)
=> ( vertex(tail_of(X0))
& vertex(head_of(X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',edge_ends_are_vertices) ).
fof(f702,plain,
( ~ vertex(tail_of(sK6(sK0)))
| tail_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ complete
| head_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_4
| ~ spl29_22 ),
inference(subsumption_resolution,[],[f701,f213]) ).
fof(f213,plain,
( vertex(head_of(sK7(sK0)))
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f202,f70]) ).
fof(f70,plain,
! [X0] :
( vertex(head_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f701,plain,
( ~ vertex(head_of(sK7(sK0)))
| ~ vertex(tail_of(sK6(sK0)))
| tail_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ complete
| head_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_4
| ~ spl29_22 ),
inference(subsumption_resolution,[],[f695,f269]) ).
fof(f269,plain,
( ! [X0] : ~ sP4(sK6(sK0),tail_of(sK6(sK0)),X0)
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f208,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ sP4(X2,X1,X0)
| head_of(X2) = X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( ! [X0,X1] :
( ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
( ! [X0,X1] :
( ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
( complete
=> ! [X0,X1] :
( ( X0 != X1
& vertex(X1)
& vertex(X0) )
=> ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( complete
=> ! [X1,X2] :
( ( X1 != X2
& vertex(X2)
& vertex(X1) )
=> ? [X0] :
( ( ( tail_of(X0) = X2
& head_of(X0) = X1 )
<~> ( tail_of(X0) = X1
& head_of(X0) = X2 ) )
& edge(X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',complete_properties) ).
fof(f695,plain,
( sP4(sK6(sK0),tail_of(sK6(sK0)),head_of(sK7(sK0)))
| ~ vertex(head_of(sK7(sK0)))
| ~ vertex(tail_of(sK6(sK0)))
| tail_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ complete
| head_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_22 ),
inference(superposition,[],[f55,f466]) ).
fof(f466,plain,
( sK6(sK0) = sK3(head_of(sK7(sK0)),tail_of(sK6(sK0)))
| ~ spl29_22 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl29_22
<=> sK6(sK0) = sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_22])]) ).
fof(f55,plain,
! [X0,X1] :
( sP4(sK3(X0,X1),X1,X0)
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete
| head_of(sK3(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f685,plain,
( ~ spl29_4
| ~ spl29_20
| ~ spl29_21 ),
inference(avatar_contradiction_clause,[],[f684]) ).
fof(f684,plain,
( $false
| ~ spl29_4
| ~ spl29_20
| ~ spl29_21 ),
inference(subsumption_resolution,[],[f683,f217]) ).
fof(f683,plain,
( head_of(sK6(sK0)) = head_of(sK7(sK0))
| ~ spl29_4
| ~ spl29_20
| ~ spl29_21 ),
inference(forward_demodulation,[],[f682,f203]) ).
fof(f682,plain,
( tail_of(sK7(sK0)) = head_of(sK7(sK0))
| ~ spl29_20
| ~ spl29_21 ),
inference(forward_demodulation,[],[f457,f462]) ).
fof(f462,plain,
( sK7(sK0) = sK3(head_of(sK7(sK0)),tail_of(sK6(sK0)))
| ~ spl29_21 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl29_21
<=> sK7(sK0) = sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).
fof(f457,plain,
( head_of(sK7(sK0)) = tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_20 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f456,plain,
( spl29_20
<=> head_of(sK7(sK0)) = tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).
fof(f676,plain,
( ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_6
| spl29_20 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_6
| spl29_20 ),
inference(subsumption_resolution,[],[f666,f663]) ).
fof(f663,plain,
( tail_of(sK6(sK0)) = tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_4
| spl29_6
| spl29_20 ),
inference(unit_resulting_resolution,[],[f49,f213,f210,f252,f656,f56]) ).
fof(f56,plain,
! [X0,X1] :
( sP4(sK3(X0,X1),X1,X0)
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete
| tail_of(sK3(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f656,plain,
( ! [X0] : ~ sP4(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))),X0,head_of(sK7(sK0)))
| spl29_20 ),
inference(unit_resulting_resolution,[],[f458,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ sP4(X2,X1,X0)
| tail_of(X2) = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f458,plain,
( head_of(sK7(sK0)) != tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| spl29_20 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f666,plain,
( tail_of(sK6(sK0)) != tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_6
| spl29_20 ),
inference(unit_resulting_resolution,[],[f662,f243]) ).
fof(f243,plain,
( ! [X0] :
( tail_of(X0) != tail_of(sK6(sK0))
| head_of(X0) != head_of(sK7(sK0)) )
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(resolution,[],[f228,f98]) ).
fof(f98,plain,
! [X2,X3,X5] :
( ~ sP13(X3,X2)
| head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ),
inference(general_splitting,[],[f96,f97_D]) ).
fof(f97,plain,
! [X2,X3,X4] :
( ~ precedes(X2,X3,X4)
| ~ sP12(X4)
| sP13(X3,X2) ),
inference(cnf_transformation,[],[f97_D]) ).
fof(f97_D,plain,
! [X2,X3] :
( ! [X4] :
( ~ precedes(X2,X3,X4)
| ~ sP12(X4) )
<=> ~ sP13(X3,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).
fof(f96,plain,
! [X2,X3,X4,X5] :
( ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3)
| ~ sP12(X4) ),
inference(general_splitting,[],[f94,f95_D]) ).
fof(f95,plain,
! [X1,X4] :
( ~ sP11(X4,X1)
| sP12(X4) ),
inference(cnf_transformation,[],[f95_D]) ).
fof(f95_D,plain,
! [X4] :
( ! [X1] : ~ sP11(X4,X1)
<=> ~ sP12(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP12])]) ).
fof(f94,plain,
! [X2,X3,X1,X4,X5] :
( ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3)
| ~ sP11(X4,X1) ),
inference(general_splitting,[],[f59,f93_D]) ).
fof(f93,plain,
! [X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| sP11(X4,X1) ),
inference(cnf_transformation,[],[f93_D]) ).
fof(f93_D,plain,
! [X1,X4] :
( ! [X0] : ~ shortest_path(X0,X1,X4)
<=> ~ sP11(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP11])]) ).
fof(f59,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ( precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( ~ precedes(X3,X2,X4)
& ~ ? [X5] :
( head_of(X5) = head_of(X3)
& tail_of(X2) = tail_of(X5) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ( ~ precedes(X7,X6,X3)
& ~ ? [X8] :
( head_of(X8) = head_of(X7)
& tail_of(X8) = tail_of(X6) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',shortest_path_properties) ).
fof(f228,plain,
( sP13(sK7(sK0),sK6(sK0))
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f137,f204,f97]) ).
fof(f204,plain,
( precedes(sK6(sK0),sK7(sK0),sK0)
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f197,f167,f172,f177,f124]) ).
fof(f124,plain,
! [X3,X0,X4] :
( precedes(X3,X4,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| ~ on_path(X3,X0)
| ~ sP26(X0) ),
inference(general_splitting,[],[f122,f123_D]) ).
fof(f123,plain,
! [X0,X1] :
( ~ sP25(X0,X1)
| sP26(X0) ),
inference(cnf_transformation,[],[f123_D]) ).
fof(f123_D,plain,
! [X0] :
( ! [X1] : ~ sP25(X0,X1)
<=> ~ sP26(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP26])]) ).
fof(f122,plain,
! [X3,X0,X1,X4] :
( ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| precedes(X3,X4,X0)
| ~ sP25(X0,X1) ),
inference(general_splitting,[],[f78,f121_D]) ).
fof(f121,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sP25(X0,X1) ),
inference(cnf_transformation,[],[f121_D]) ).
fof(f121_D,plain,
! [X1,X0] :
( ! [X2] : ~ path(X1,X2,X0)
<=> ~ sP25(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f78,plain,
! [X2,X3,X0,X1,X4] :
( ~ path(X1,X2,X0)
| ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| precedes(X3,X4,X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
& ~ sequential(X3,X4) )
| ~ on_path(X4,X0)
| ~ on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
& ~ sequential(X3,X4) )
| ~ on_path(X4,X0)
| ~ on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( ( ( ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
=> precedes(X3,X4,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X6,X7] :
( ( ( ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) )
| sequential(X6,X7) )
& on_path(X7,X3)
& on_path(X6,X3) )
=> precedes(X6,X7,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',precedes_defn) ).
fof(f172,plain,
( on_path(sK7(sK0),sK0)
| ~ spl29_3 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f170,plain,
( spl29_3
<=> on_path(sK7(sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).
fof(f167,plain,
( on_path(sK6(sK0),sK0)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl29_2
<=> on_path(sK6(sK0),sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).
fof(f197,plain,
sP26(sK0),
inference(unit_resulting_resolution,[],[f146,f123]) ).
fof(f146,plain,
sP25(sK0,sK1),
inference(unit_resulting_resolution,[],[f129,f121]) ).
fof(f129,plain,
path(sK1,sK2,sK0),
inference(unit_resulting_resolution,[],[f47,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X1,X2)
| path(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( ! [X3] :
( path(X0,X1,X3)
=> less_or_equal(length_of(X2),length_of(X3)) )
& X0 != X1
& path(X0,X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X9] :
( shortest_path(X1,X2,X9)
<=> ( ! [X3] :
( path(X1,X2,X3)
=> less_or_equal(length_of(X9),length_of(X3)) )
& X1 != X2
& path(X1,X2,X9) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',shortest_path_defn) ).
fof(f47,plain,
shortest_path(sK1,sK2,sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f137,plain,
sP12(sK0),
inference(unit_resulting_resolution,[],[f131,f95]) ).
fof(f131,plain,
sP11(sK0,sK2),
inference(unit_resulting_resolution,[],[f47,f93]) ).
fof(f662,plain,
( head_of(sK7(sK0)) = head_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_4
| spl29_6
| spl29_20 ),
inference(unit_resulting_resolution,[],[f49,f213,f210,f252,f656,f55]) ).
fof(f651,plain,
( ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_6
| spl29_23 ),
inference(avatar_contradiction_clause,[],[f650]) ).
fof(f650,plain,
( $false
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_6
| spl29_23 ),
inference(subsumption_resolution,[],[f641,f580]) ).
fof(f580,plain,
( tail_of(sK6(sK0)) = tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_4
| spl29_6
| spl29_23 ),
inference(unit_resulting_resolution,[],[f49,f213,f210,f252,f544,f56]) ).
fof(f544,plain,
( ! [X0] : ~ sP4(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))),tail_of(sK6(sK0)),X0)
| spl29_23 ),
inference(unit_resulting_resolution,[],[f470,f52]) ).
fof(f470,plain,
( tail_of(sK6(sK0)) != head_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| spl29_23 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f468,plain,
( spl29_23
<=> tail_of(sK6(sK0)) = head_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_23])]) ).
fof(f641,plain,
( tail_of(sK6(sK0)) != tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4
| spl29_6
| spl29_23 ),
inference(unit_resulting_resolution,[],[f579,f243]) ).
fof(f579,plain,
( head_of(sK7(sK0)) = head_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_4
| spl29_6
| spl29_23 ),
inference(unit_resulting_resolution,[],[f49,f213,f210,f252,f544,f55]) ).
fof(f471,plain,
( ~ spl29_20
| spl29_21
| spl29_22
| ~ spl29_23
| ~ spl29_4
| spl29_5
| spl29_6 ),
inference(avatar_split_clause,[],[f398,f250,f180,f175,f468,f464,f460,f456]) ).
fof(f180,plain,
( spl29_5
<=> sP14(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).
fof(f398,plain,
( tail_of(sK6(sK0)) != head_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| sK6(sK0) = sK3(head_of(sK7(sK0)),tail_of(sK6(sK0)))
| sK7(sK0) = sK3(head_of(sK7(sK0)),tail_of(sK6(sK0)))
| head_of(sK7(sK0)) != tail_of(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_4
| spl29_5
| spl29_6 ),
inference(resolution,[],[f338,f283]) ).
fof(f283,plain,
( edge(sK3(head_of(sK7(sK0)),tail_of(sK6(sK0))))
| ~ spl29_4
| spl29_6 ),
inference(unit_resulting_resolution,[],[f49,f213,f210,f252,f57]) ).
fof(f57,plain,
! [X0,X1] :
( edge(sK3(X0,X1))
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete ),
inference(cnf_transformation,[],[f34]) ).
fof(f338,plain,
( ! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(sK6(sK0))
| sK6(sK0) = X0
| sK7(sK0) = X0
| tail_of(X0) != head_of(sK7(sK0)) )
| ~ spl29_4
| spl29_5 ),
inference(subsumption_resolution,[],[f337,f202]) ).
fof(f337,plain,
( ! [X0] :
( sK6(sK0) = X0
| head_of(X0) != tail_of(sK6(sK0))
| ~ edge(X0)
| sK7(sK0) = X0
| tail_of(X0) != head_of(sK7(sK0))
| ~ edge(sK7(sK0)) )
| ~ spl29_4
| spl29_5 ),
inference(resolution,[],[f286,f83]) ).
fof(f83,plain,
! [X0,X1] :
( sequential(X0,X1)
| ~ edge(X1)
| X0 = X1
| head_of(X0) != tail_of(X1)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f286,plain,
( ! [X0] :
( ~ sequential(sK7(sK0),X0)
| sK6(sK0) = X0
| head_of(X0) != tail_of(sK6(sK0)) )
| ~ spl29_4
| spl29_5 ),
inference(subsumption_resolution,[],[f285,f80]) ).
fof(f285,plain,
( ! [X0] :
( ~ sequential(sK7(sK0),X0)
| sK6(sK0) = X0
| head_of(X0) != tail_of(sK6(sK0))
| ~ edge(X0) )
| ~ spl29_4
| spl29_5 ),
inference(subsumption_resolution,[],[f284,f201]) ).
fof(f284,plain,
( ! [X0] :
( ~ sequential(sK7(sK0),X0)
| ~ edge(sK6(sK0))
| sK6(sK0) = X0
| head_of(X0) != tail_of(sK6(sK0))
| ~ edge(X0) )
| ~ spl29_4
| spl29_5 ),
inference(resolution,[],[f225,f83]) ).
fof(f225,plain,
( ! [X0] :
( ~ sequential(X0,sK6(sK0))
| ~ sequential(sK7(sK0),X0) )
| ~ spl29_4
| spl29_5 ),
inference(subsumption_resolution,[],[f224,f80]) ).
fof(f224,plain,
( ! [X0] :
( ~ edge(X0)
| ~ sequential(sK7(sK0),X0)
| ~ sequential(X0,sK6(sK0)) )
| ~ spl29_4
| spl29_5 ),
inference(subsumption_resolution,[],[f223,f201]) ).
fof(f223,plain,
( ! [X0] :
( ~ edge(X0)
| ~ sequential(sK7(sK0),X0)
| ~ sequential(X0,sK6(sK0))
| ~ edge(sK6(sK0)) )
| ~ spl29_4
| spl29_5 ),
inference(subsumption_resolution,[],[f222,f177]) ).
fof(f222,plain,
( ! [X0] :
( ~ edge(X0)
| ~ sequential(sK6(sK0),sK7(sK0))
| ~ sequential(sK7(sK0),X0)
| ~ sequential(X0,sK6(sK0))
| ~ edge(sK6(sK0)) )
| ~ spl29_4
| spl29_5 ),
inference(subsumption_resolution,[],[f221,f202]) ).
fof(f221,plain,
( ! [X0] :
( ~ edge(sK7(sK0))
| ~ edge(X0)
| ~ sequential(sK6(sK0),sK7(sK0))
| ~ sequential(sK7(sK0),X0)
| ~ sequential(X0,sK6(sK0))
| ~ edge(sK6(sK0)) )
| spl29_5 ),
inference(resolution,[],[f186,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ edge(X1)
| ~ edge(X2)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X2)
| ~ edge(X1)
| ~ edge(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X2)
| ~ edge(X1)
| ~ edge(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( sequential(X2,X0)
& sequential(X1,X2)
& sequential(X0,X1)
& edge(X2)
& edge(X1)
& edge(X0) )
=> triangle(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
<=> ( sequential(X2,X0)
& sequential(X1,X2)
& sequential(X0,X1)
& edge(X2)
& edge(X1)
& edge(X0) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X6,X7,X8] :
( triangle(X6,X7,X8)
<=> ( sequential(X8,X6)
& sequential(X7,X8)
& sequential(X6,X7)
& edge(X8)
& edge(X7)
& edge(X6) ) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',triangle_defn) ).
fof(f186,plain,
( ! [X0] : ~ triangle(sK6(sK0),sK7(sK0),X0)
| spl29_5 ),
inference(unit_resulting_resolution,[],[f182,f99]) ).
fof(f99,plain,
! [X0,X5] :
( ~ triangle(sK6(X0),sK7(X0),X5)
| sP14(X0) ),
inference(cnf_transformation,[],[f99_D]) ).
fof(f99_D,plain,
! [X0] :
( ! [X5] : ~ triangle(sK6(X0),sK7(X0),X5)
<=> ~ sP14(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP14])]) ).
fof(f182,plain,
( ~ sP14(sK0)
| spl29_5 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f257,plain,
( ~ spl29_6
| spl29_7
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(avatar_split_clause,[],[f248,f175,f170,f165,f254,f250]) ).
fof(f248,plain,
( sK6(sK0) = sK7(sK0)
| tail_of(sK6(sK0)) != head_of(sK7(sK0))
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(subsumption_resolution,[],[f247,f202]) ).
fof(f247,plain,
( sK6(sK0) = sK7(sK0)
| tail_of(sK6(sK0)) != head_of(sK7(sK0))
| ~ edge(sK7(sK0))
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(subsumption_resolution,[],[f246,f201]) ).
fof(f246,plain,
( ~ edge(sK6(sK0))
| sK6(sK0) = sK7(sK0)
| tail_of(sK6(sK0)) != head_of(sK7(sK0))
| ~ edge(sK7(sK0))
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(resolution,[],[f244,f83]) ).
fof(f244,plain,
( ~ sequential(sK7(sK0),sK6(sK0))
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f197,f172,f167,f227,f124]) ).
fof(f227,plain,
( ~ precedes(sK7(sK0),sK6(sK0),sK0)
| ~ spl29_2
| ~ spl29_3
| ~ spl29_4 ),
inference(unit_resulting_resolution,[],[f136,f204,f89]) ).
fof(f89,plain,
! [X2,X3,X4] :
( ~ precedes(X3,X2,X4)
| ~ precedes(X2,X3,X4)
| sP9(X4,X3) ),
inference(cnf_transformation,[],[f89_D]) ).
fof(f89_D,plain,
! [X3,X4] :
( ! [X2] :
( ~ precedes(X3,X2,X4)
| ~ precedes(X2,X3,X4) )
<=> ~ sP9(X4,X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f136,plain,
! [X0] : ~ sP9(sK0,X0),
inference(unit_resulting_resolution,[],[f130,f91]) ).
fof(f91,plain,
! [X3,X4] :
( ~ sP9(X4,X3)
| sP10(X4) ),
inference(cnf_transformation,[],[f91_D]) ).
fof(f91_D,plain,
! [X4] :
( ! [X3] : ~ sP9(X4,X3)
<=> ~ sP10(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f130,plain,
~ sP10(sK0),
inference(unit_resulting_resolution,[],[f47,f92]) ).
fof(f92,plain,
! [X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ sP10(X4) ),
inference(general_splitting,[],[f90,f91_D]) ).
fof(f90,plain,
! [X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ sP9(X4,X3) ),
inference(general_splitting,[],[f60,f89_D]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4)
| ~ precedes(X3,X2,X4) ),
inference(cnf_transformation,[],[f37]) ).
fof(f220,plain,
~ spl29_1,
inference(avatar_split_clause,[],[f219,f161]) ).
fof(f161,plain,
( spl29_1
<=> number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).
fof(f219,plain,
number_of_in(triangles,sK0) != number_of_in(sequential_pairs,sK0),
inference(superposition,[],[f48,f139]) ).
fof(f139,plain,
minus(length_of(sK0),n1) = number_of_in(sequential_pairs,sK0),
inference(unit_resulting_resolution,[],[f129,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ path(X0,X1,X2)
| number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( path(X0,X1,X2)
=> number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X2,X3] :
( path(X1,X2,X3)
=> number_of_in(sequential_pairs,X3) = minus(length_of(X3),n1) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',path_length_sequential_pairs) ).
fof(f48,plain,
minus(length_of(sK0),n1) != number_of_in(triangles,sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f183,plain,
( ~ spl29_5
| spl29_1 ),
inference(avatar_split_clause,[],[f152,f161,f180]) ).
fof(f152,plain,
( number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0)
| ~ sP14(sK0) ),
inference(resolution,[],[f129,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)
| ~ sP14(X0) ),
inference(general_splitting,[],[f69,f99_D]) ).
fof(f69,plain,
! [X2,X0,X1,X5] :
( ~ path(X1,X2,X0)
| ~ triangle(sK6(X0),sK7(X0),X5)
| number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)
| ? [X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& sequential(X3,X4)
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0)
| ? [X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& sequential(X3,X4)
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( sequential(X3,X4)
& on_path(X4,X0)
& on_path(X3,X0) )
=> ? [X5] : triangle(X3,X4,X5) )
& path(X1,X2,X0) )
=> number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X1,X2] :
( ( ! [X6,X7] :
( ( sequential(X6,X7)
& on_path(X7,X3)
& on_path(X6,X3) )
=> ? [X8] : triangle(X6,X7,X8) )
& path(X1,X2,X3) )
=> number_of_in(sequential_pairs,X3) = number_of_in(triangles,X3) ),
file('/export/starexec/sandbox/tmp/tmp.7qujHhX6iF/Vampire---4.8_18929',sequential_pairs_and_triangles) ).
fof(f178,plain,
( spl29_1
| spl29_4 ),
inference(avatar_split_clause,[],[f151,f175,f161]) ).
fof(f151,plain,
( sequential(sK6(sK0),sK7(sK0))
| number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0) ),
inference(resolution,[],[f129,f68]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sequential(sK6(X0),sK7(X0))
| number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f173,plain,
( spl29_1
| spl29_3 ),
inference(avatar_split_clause,[],[f150,f170,f161]) ).
fof(f150,plain,
( on_path(sK7(sK0),sK0)
| number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0) ),
inference(resolution,[],[f129,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| on_path(sK7(X0),X0)
| number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f168,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f149,f165,f161]) ).
fof(f149,plain,
( on_path(sK6(sK0),sK0)
| number_of_in(triangles,sK0) = number_of_in(sequential_pairs,sK0) ),
inference(resolution,[],[f129,f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| on_path(sK6(X0),X0)
| number_of_in(triangles,X0) = number_of_in(sequential_pairs,X0) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRA012+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.00/0.11 % 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
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 18:25:22 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.31 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.7qujHhX6iF/Vampire---4.8_18929
% 0.57/0.74 % (19043)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)
% 0.57/0.74 % (19040)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.57/0.74 % (19044)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)
% 0.57/0.74 % (19041)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)
% 0.57/0.74 % (19038)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)
% 0.57/0.74 % (19042)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)
% 0.57/0.74 % (19039)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)
% 0.57/0.74 % (19045)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)
% 0.57/0.74 % (19041)Refutation not found, incomplete strategy% (19041)------------------------------
% 0.57/0.74 % (19041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19041)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19041)Memory used [KB]: 964
% 0.57/0.74 % (19041)Time elapsed: 0.003 s
% 0.57/0.74 % (19041)Instructions burned: 2 (million)
% 0.57/0.74 % (19043)Refutation not found, incomplete strategy% (19043)------------------------------
% 0.57/0.74 % (19043)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19043)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19043)Memory used [KB]: 1034
% 0.57/0.74 % (19043)Time elapsed: 0.003 s
% 0.57/0.74 % (19043)Instructions burned: 2 (million)
% 0.57/0.74 % (19041)------------------------------
% 0.57/0.74 % (19041)------------------------------
% 0.57/0.74 % (19045)Refutation not found, incomplete strategy% (19045)------------------------------
% 0.57/0.74 % (19045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19043)------------------------------
% 0.57/0.74 % (19043)------------------------------
% 0.57/0.74 % (19045)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19045)Memory used [KB]: 1041
% 0.57/0.74 % (19038)Refutation not found, incomplete strategy% (19038)------------------------------
% 0.57/0.74 % (19038)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (19045)Time elapsed: 0.002 s
% 0.57/0.74 % (19045)Instructions burned: 3 (million)
% 0.57/0.74 % (19038)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (19038)Memory used [KB]: 1051
% 0.57/0.74 % (19038)Time elapsed: 0.003 s
% 0.57/0.74 % (19038)Instructions burned: 3 (million)
% 0.57/0.74 % (19045)------------------------------
% 0.57/0.74 % (19045)------------------------------
% 0.57/0.74 % (19038)------------------------------
% 0.57/0.74 % (19038)------------------------------
% 0.57/0.75 % (19048)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)
% 0.57/0.75 % (19047)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)
% 0.57/0.75 % (19046)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 (2995ds/55Mi)
% 0.57/0.75 % (19049)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)
% 0.57/0.75 % (19048)Refutation not found, incomplete strategy% (19048)------------------------------
% 0.57/0.75 % (19048)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (19048)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (19048)Memory used [KB]: 1035
% 0.57/0.75 % (19048)Time elapsed: 0.002 s
% 0.57/0.75 % (19048)Instructions burned: 3 (million)
% 0.57/0.75 % (19048)------------------------------
% 0.57/0.75 % (19048)------------------------------
% 0.57/0.75 % (19046)Refutation not found, incomplete strategy% (19046)------------------------------
% 0.57/0.75 % (19046)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.75 % (19046)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (19046)Memory used [KB]: 1071
% 0.57/0.75 % (19046)Time elapsed: 0.004 s
% 0.57/0.75 % (19046)Instructions burned: 4 (million)
% 0.57/0.75 % (19046)------------------------------
% 0.57/0.75 % (19046)------------------------------
% 0.57/0.75 % (19050)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)
% 0.57/0.75 % (19051)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)
% 0.57/0.76 % (19042)Instruction limit reached!
% 0.57/0.76 % (19042)------------------------------
% 0.57/0.76 % (19042)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (19042)Termination reason: Unknown
% 0.57/0.76 % (19042)Termination phase: Saturation
% 0.57/0.76
% 0.57/0.76 % (19042)Memory used [KB]: 1364
% 0.57/0.76 % (19042)Time elapsed: 0.018 s
% 0.57/0.76 % (19042)Instructions burned: 34 (million)
% 0.57/0.76 % (19042)------------------------------
% 0.57/0.76 % (19042)------------------------------
% 0.57/0.76 % (19044)First to succeed.
% 0.57/0.76 % (19044)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19037"
% 0.57/0.76 % (19052)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)
% 0.57/0.76 % (19044)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Theorem for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.76 % (19044)------------------------------
% 0.57/0.76 % (19044)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76 % (19044)Termination reason: Refutation
% 0.57/0.76
% 0.57/0.76 % (19044)Memory used [KB]: 1396
% 0.57/0.76 % (19044)Time elapsed: 0.021 s
% 0.57/0.76 % (19044)Instructions burned: 44 (million)
% 0.57/0.76 % (19037)Success in time 0.448 s
% 0.57/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------