TSTP Solution File: GRA002+3 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GRA002+3 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n028.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 02:25:11 EDT 2024
% Result : Theorem 0.61s 0.80s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 205 ( 20 unt; 0 def)
% Number of atoms : 735 ( 139 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 920 ( 390 ~; 385 |; 79 &)
% ( 29 <=>; 30 =>; 0 <=; 7 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 14 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 328 ( 308 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f936,plain,
$false,
inference(avatar_sat_refutation,[],[f151,f191,f196,f201,f206,f288,f506,f782,f872,f881,f904,f926,f935]) ).
fof(f935,plain,
( ~ spl32_6
| ~ spl32_8
| ~ spl32_9 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| ~ spl32_6
| ~ spl32_8
| ~ spl32_9 ),
inference(subsumption_resolution,[],[f933,f231]) ).
fof(f231,plain,
( head_of(sK8(sK1)) != tail_of(sK8(sK1))
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f224,f92]) ).
fof(f92,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',no_loops) ).
fof(f224,plain,
( edge(sK8(sK1))
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f200,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',sequential_defn) ).
fof(f200,plain,
( sequential(sK8(sK1),sK9(sK1))
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl32_6
<=> sequential(sK8(sK1),sK9(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f933,plain,
( head_of(sK8(sK1)) = tail_of(sK8(sK1))
| ~ spl32_8
| ~ spl32_9 ),
inference(forward_demodulation,[],[f282,f287]) ).
fof(f287,plain,
( sK8(sK1) = sK9(sK1)
| ~ spl32_9 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl32_9
<=> sK8(sK1) = sK9(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_9])]) ).
fof(f282,plain,
( tail_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl32_8
<=> tail_of(sK8(sK1)) = head_of(sK9(sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
fof(f926,plain,
~ spl32_3,
inference(avatar_contradiction_clause,[],[f925]) ).
fof(f925,plain,
( $false
| ~ spl32_3 ),
inference(subsumption_resolution,[],[f924,f267]) ).
fof(f267,plain,
~ less_or_equal(number_of_in(sequential_pairs,sK1),number_of_in(triangles,graph)),
inference(superposition,[],[f51,f163]) ).
fof(f163,plain,
minus(length_of(sK1),n1) = number_of_in(sequential_pairs,sK1),
inference(unit_resulting_resolution,[],[f152,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ path(X0,X1,X2)
| number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',path_length_sequential_pairs) ).
fof(f152,plain,
path(sK2,sK3,sK1),
inference(unit_resulting_resolution,[],[f50,f77]) ).
fof(f77,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X1,X2)
| path(X0,X1,X2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,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,[],[f28]) ).
fof(f28,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',shortest_path_defn) ).
fof(f50,plain,
shortest_path(sK2,sK3,sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ? [X0,X1,X2] :
( ~ less_or_equal(minus(length_of(X0),n1),number_of_in(triangles,graph))
& shortest_path(X1,X2,X0) )
& complete ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ( complete
=> ! [X0,X1,X2] :
( shortest_path(X1,X2,X0)
=> less_or_equal(minus(length_of(X0),n1),number_of_in(triangles,graph)) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( complete
=> ! [X3,X1,X2] :
( shortest_path(X1,X2,X3)
=> less_or_equal(minus(length_of(X3),n1),number_of_in(triangles,graph)) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( complete
=> ! [X3,X1,X2] :
( shortest_path(X1,X2,X3)
=> less_or_equal(minus(length_of(X3),n1),number_of_in(triangles,graph)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',maximal_path_length) ).
fof(f51,plain,
~ less_or_equal(minus(length_of(sK1),n1),number_of_in(triangles,graph)),
inference(cnf_transformation,[],[f35]) ).
fof(f924,plain,
( less_or_equal(number_of_in(sequential_pairs,sK1),number_of_in(triangles,graph))
| ~ spl32_3 ),
inference(superposition,[],[f91,f186]) ).
fof(f186,plain,
( number_of_in(sequential_pairs,sK1) = number_of_in(triangles,sK1)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl32_3
<=> number_of_in(sequential_pairs,sK1) = number_of_in(triangles,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f91,plain,
! [X0,X1] : less_or_equal(number_of_in(X0,X1),number_of_in(X0,graph)),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] : less_or_equal(number_of_in(X0,X1),number_of_in(X0,graph)),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X10,X11] : less_or_equal(number_of_in(X10,X11),number_of_in(X10,graph)),
file('/export/starexec/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',graph_has_them_all) ).
fof(f904,plain,
( ~ spl32_2
| ~ spl32_6
| spl32_8
| ~ spl32_24 ),
inference(avatar_contradiction_clause,[],[f903]) ).
fof(f903,plain,
( $false
| ~ spl32_2
| ~ spl32_6
| spl32_8
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f902,f240]) ).
fof(f240,plain,
( head_of(sK8(sK1)) != head_of(sK9(sK1))
| ~ spl32_6 ),
inference(forward_demodulation,[],[f235,f226]) ).
fof(f226,plain,
( head_of(sK8(sK1)) = tail_of(sK9(sK1))
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f200,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| head_of(X0) = tail_of(X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f235,plain,
( tail_of(sK9(sK1)) != head_of(sK9(sK1))
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f225,f92]) ).
fof(f225,plain,
( edge(sK9(sK1))
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f200,f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f902,plain,
( head_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_2
| ~ spl32_6
| spl32_8
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f901,f148]) ).
fof(f148,plain,
( complete
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl32_2
<=> complete ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f901,plain,
( ~ complete
| head_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_6
| spl32_8
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f900,f283]) ).
fof(f283,plain,
( tail_of(sK8(sK1)) != head_of(sK9(sK1))
| spl32_8 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f900,plain,
( tail_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ complete
| head_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_6
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f899,f233]) ).
fof(f233,plain,
( vertex(tail_of(sK8(sK1)))
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f224,f94]) ).
fof(f94,plain,
! [X0] :
( vertex(tail_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',edge_ends_are_vertices) ).
fof(f899,plain,
( ~ vertex(tail_of(sK8(sK1)))
| tail_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ complete
| head_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_6
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f898,f236]) ).
fof(f236,plain,
( vertex(head_of(sK9(sK1)))
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f225,f93]) ).
fof(f93,plain,
! [X0] :
( vertex(head_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f898,plain,
( ~ vertex(head_of(sK9(sK1)))
| ~ vertex(tail_of(sK8(sK1)))
| tail_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ complete
| head_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_6
| ~ spl32_24 ),
inference(subsumption_resolution,[],[f892,f297]) ).
fof(f297,plain,
( ! [X0] : ~ sP5(sK8(sK1),tail_of(sK8(sK1)),X0)
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f231,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ sP5(X2,X1,X0)
| head_of(X2) = X1 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,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,[],[f36]) ).
fof(f36,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,[],[f23]) ).
fof(f23,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',complete_properties) ).
fof(f892,plain,
( sP5(sK8(sK1),tail_of(sK8(sK1)),head_of(sK9(sK1)))
| ~ vertex(head_of(sK9(sK1)))
| ~ vertex(tail_of(sK8(sK1)))
| tail_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ complete
| head_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_24 ),
inference(superposition,[],[f57,f501]) ).
fof(f501,plain,
( sK8(sK1) = sK4(head_of(sK9(sK1)),tail_of(sK8(sK1)))
| ~ spl32_24 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f499,plain,
( spl32_24
<=> sK8(sK1) = sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f57,plain,
! [X0,X1] :
( sP5(sK4(X0,X1),X1,X0)
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete
| head_of(sK4(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f881,plain,
( ~ spl32_6
| ~ spl32_22
| ~ spl32_23 ),
inference(avatar_contradiction_clause,[],[f880]) ).
fof(f880,plain,
( $false
| ~ spl32_6
| ~ spl32_22
| ~ spl32_23 ),
inference(subsumption_resolution,[],[f879,f240]) ).
fof(f879,plain,
( head_of(sK8(sK1)) = head_of(sK9(sK1))
| ~ spl32_6
| ~ spl32_22
| ~ spl32_23 ),
inference(forward_demodulation,[],[f878,f226]) ).
fof(f878,plain,
( tail_of(sK9(sK1)) = head_of(sK9(sK1))
| ~ spl32_22
| ~ spl32_23 ),
inference(forward_demodulation,[],[f492,f497]) ).
fof(f497,plain,
( sK9(sK1) = sK4(head_of(sK9(sK1)),tail_of(sK8(sK1)))
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl32_23
<=> sK9(sK1) = sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f492,plain,
( head_of(sK9(sK1)) = tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_22 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f491,plain,
( spl32_22
<=> head_of(sK9(sK1)) = tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
fof(f872,plain,
( ~ spl32_2
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_8
| spl32_22 ),
inference(avatar_contradiction_clause,[],[f871]) ).
fof(f871,plain,
( $false
| ~ spl32_2
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_8
| spl32_22 ),
inference(subsumption_resolution,[],[f862,f859]) ).
fof(f859,plain,
( tail_of(sK8(sK1)) = tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_6
| spl32_8
| spl32_22 ),
inference(unit_resulting_resolution,[],[f148,f236,f233,f283,f828,f58]) ).
fof(f58,plain,
! [X0,X1] :
( sP5(sK4(X0,X1),X1,X0)
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete
| tail_of(sK4(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f37]) ).
fof(f828,plain,
( ! [X0] : ~ sP5(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))),X0,head_of(sK9(sK1)))
| spl32_22 ),
inference(unit_resulting_resolution,[],[f493,f55]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ sP5(X2,X1,X0)
| tail_of(X2) = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f493,plain,
( head_of(sK9(sK1)) != tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| spl32_22 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f862,plain,
( tail_of(sK8(sK1)) != tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_8
| spl32_22 ),
inference(unit_resulting_resolution,[],[f858,f266]) ).
fof(f266,plain,
( ! [X0] :
( tail_of(X0) != tail_of(sK8(sK1))
| head_of(X0) != head_of(sK9(sK1)) )
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(resolution,[],[f254,f140]) ).
fof(f140,plain,
! [X2,X3,X5] :
( ~ sP30(X3,X2)
| head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ),
inference(general_splitting,[],[f138,f139_D]) ).
fof(f139,plain,
! [X2,X3,X4] :
( ~ precedes(X2,X3,X4)
| ~ sP29(X4)
| sP30(X3,X2) ),
inference(cnf_transformation,[],[f139_D]) ).
fof(f139_D,plain,
! [X2,X3] :
( ! [X4] :
( ~ precedes(X2,X3,X4)
| ~ sP29(X4) )
<=> ~ sP30(X3,X2) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP30])]) ).
fof(f138,plain,
! [X2,X3,X4,X5] :
( ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3)
| ~ sP29(X4) ),
inference(general_splitting,[],[f136,f137_D]) ).
fof(f137,plain,
! [X1,X4] :
( ~ sP28(X4,X1)
| sP29(X4) ),
inference(cnf_transformation,[],[f137_D]) ).
fof(f137_D,plain,
! [X4] :
( ! [X1] : ~ sP28(X4,X1)
<=> ~ sP29(X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).
fof(f136,plain,
! [X2,X3,X1,X4,X5] :
( ~ precedes(X2,X3,X4)
| tail_of(X2) != tail_of(X5)
| head_of(X5) != head_of(X3)
| ~ sP28(X4,X1) ),
inference(general_splitting,[],[f72,f135_D]) ).
fof(f135,plain,
! [X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| sP28(X4,X1) ),
inference(cnf_transformation,[],[f135_D]) ).
fof(f135_D,plain,
! [X1,X4] :
( ! [X0] : ~ shortest_path(X0,X1,X4)
<=> ~ sP28(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP28])]) ).
fof(f72,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,[],[f42]) ).
fof(f42,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,[],[f41]) ).
fof(f41,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,[],[f27]) ).
fof(f27,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',shortest_path_properties) ).
fof(f254,plain,
( sP30(sK9(sK1),sK8(sK1))
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f160,f227,f139]) ).
fof(f227,plain,
( precedes(sK8(sK1),sK9(sK1),sK1)
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f218,f190,f195,f200,f126]) ).
fof(f126,plain,
! [X3,X0,X4] :
( precedes(X3,X4,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| ~ on_path(X3,X0)
| ~ sP23(X0) ),
inference(general_splitting,[],[f124,f125_D]) ).
fof(f125,plain,
! [X0,X1] :
( ~ sP22(X0,X1)
| sP23(X0) ),
inference(cnf_transformation,[],[f125_D]) ).
fof(f125_D,plain,
! [X0] :
( ! [X1] : ~ sP22(X0,X1)
<=> ~ sP23(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
fof(f124,plain,
! [X3,X0,X1,X4] :
( ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| precedes(X3,X4,X0)
| ~ sP22(X0,X1) ),
inference(general_splitting,[],[f66,f123_D]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sP22(X0,X1) ),
inference(cnf_transformation,[],[f123_D]) ).
fof(f123_D,plain,
! [X1,X0] :
( ! [X2] : ~ path(X1,X2,X0)
<=> ~ sP22(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP22])]) ).
fof(f66,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,[],[f40]) ).
fof(f40,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,[],[f39]) ).
fof(f39,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,[],[f25]) ).
fof(f25,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',precedes_defn) ).
fof(f195,plain,
( on_path(sK9(sK1),sK1)
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f193,plain,
( spl32_5
<=> on_path(sK9(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f190,plain,
( on_path(sK8(sK1),sK1)
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl32_4
<=> on_path(sK8(sK1),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f218,plain,
sP23(sK1),
inference(unit_resulting_resolution,[],[f169,f125]) ).
fof(f169,plain,
sP22(sK1,sK2),
inference(unit_resulting_resolution,[],[f152,f123]) ).
fof(f160,plain,
sP29(sK1),
inference(unit_resulting_resolution,[],[f154,f137]) ).
fof(f154,plain,
sP28(sK1,sK3),
inference(unit_resulting_resolution,[],[f50,f135]) ).
fof(f858,plain,
( head_of(sK9(sK1)) = head_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_6
| spl32_8
| spl32_22 ),
inference(unit_resulting_resolution,[],[f148,f236,f233,f283,f828,f57]) ).
fof(f782,plain,
( ~ spl32_2
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_8
| spl32_25 ),
inference(avatar_contradiction_clause,[],[f781]) ).
fof(f781,plain,
( $false
| ~ spl32_2
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_8
| spl32_25 ),
inference(subsumption_resolution,[],[f772,f735]) ).
fof(f735,plain,
( tail_of(sK8(sK1)) = tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_6
| spl32_8
| spl32_25 ),
inference(unit_resulting_resolution,[],[f148,f236,f233,f283,f603,f58]) ).
fof(f603,plain,
( ! [X0] : ~ sP5(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))),tail_of(sK8(sK1)),X0)
| spl32_25 ),
inference(unit_resulting_resolution,[],[f505,f54]) ).
fof(f505,plain,
( tail_of(sK8(sK1)) != head_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| spl32_25 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl32_25
<=> tail_of(sK8(sK1)) = head_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_25])]) ).
fof(f772,plain,
( tail_of(sK8(sK1)) != tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6
| spl32_8
| spl32_25 ),
inference(unit_resulting_resolution,[],[f734,f266]) ).
fof(f734,plain,
( head_of(sK9(sK1)) = head_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_6
| spl32_8
| spl32_25 ),
inference(unit_resulting_resolution,[],[f148,f236,f233,f283,f603,f57]) ).
fof(f506,plain,
( ~ spl32_22
| spl32_23
| spl32_24
| ~ spl32_25
| ~ spl32_2
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(avatar_split_clause,[],[f433,f281,f203,f198,f147,f503,f499,f495,f491]) ).
fof(f203,plain,
( spl32_7
<=> sP31(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f433,plain,
( tail_of(sK8(sK1)) != head_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| sK8(sK1) = sK4(head_of(sK9(sK1)),tail_of(sK8(sK1)))
| sK9(sK1) = sK4(head_of(sK9(sK1)),tail_of(sK8(sK1)))
| head_of(sK9(sK1)) != tail_of(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_6
| spl32_7
| spl32_8 ),
inference(resolution,[],[f364,f309]) ).
fof(f309,plain,
( edge(sK4(head_of(sK9(sK1)),tail_of(sK8(sK1))))
| ~ spl32_2
| ~ spl32_6
| spl32_8 ),
inference(unit_resulting_resolution,[],[f148,f236,f233,f283,f59]) ).
fof(f59,plain,
! [X0,X1] :
( edge(sK4(X0,X1))
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete ),
inference(cnf_transformation,[],[f37]) ).
fof(f364,plain,
( ! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(sK8(sK1))
| sK8(sK1) = X0
| sK9(sK1) = X0
| tail_of(X0) != head_of(sK9(sK1)) )
| ~ spl32_6
| spl32_7 ),
inference(subsumption_resolution,[],[f363,f225]) ).
fof(f363,plain,
( ! [X0] :
( sK8(sK1) = X0
| head_of(X0) != tail_of(sK8(sK1))
| ~ edge(X0)
| sK9(sK1) = X0
| tail_of(X0) != head_of(sK9(sK1))
| ~ edge(sK9(sK1)) )
| ~ spl32_6
| spl32_7 ),
inference(resolution,[],[f312,f71]) ).
fof(f71,plain,
! [X0,X1] :
( sequential(X0,X1)
| ~ edge(X1)
| X0 = X1
| head_of(X0) != tail_of(X1)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f312,plain,
( ! [X0] :
( ~ sequential(sK9(sK1),X0)
| sK8(sK1) = X0
| head_of(X0) != tail_of(sK8(sK1)) )
| ~ spl32_6
| spl32_7 ),
inference(subsumption_resolution,[],[f311,f68]) ).
fof(f311,plain,
( ! [X0] :
( ~ sequential(sK9(sK1),X0)
| sK8(sK1) = X0
| head_of(X0) != tail_of(sK8(sK1))
| ~ edge(X0) )
| ~ spl32_6
| spl32_7 ),
inference(subsumption_resolution,[],[f310,f224]) ).
fof(f310,plain,
( ! [X0] :
( ~ sequential(sK9(sK1),X0)
| ~ edge(sK8(sK1))
| sK8(sK1) = X0
| head_of(X0) != tail_of(sK8(sK1))
| ~ edge(X0) )
| ~ spl32_6
| spl32_7 ),
inference(resolution,[],[f246,f71]) ).
fof(f246,plain,
( ! [X0] :
( ~ sequential(X0,sK8(sK1))
| ~ sequential(sK9(sK1),X0) )
| ~ spl32_6
| spl32_7 ),
inference(subsumption_resolution,[],[f245,f68]) ).
fof(f245,plain,
( ! [X0] :
( ~ edge(X0)
| ~ sequential(sK9(sK1),X0)
| ~ sequential(X0,sK8(sK1)) )
| ~ spl32_6
| spl32_7 ),
inference(subsumption_resolution,[],[f244,f224]) ).
fof(f244,plain,
( ! [X0] :
( ~ edge(X0)
| ~ sequential(sK9(sK1),X0)
| ~ sequential(X0,sK8(sK1))
| ~ edge(sK8(sK1)) )
| ~ spl32_6
| spl32_7 ),
inference(subsumption_resolution,[],[f243,f200]) ).
fof(f243,plain,
( ! [X0] :
( ~ edge(X0)
| ~ sequential(sK8(sK1),sK9(sK1))
| ~ sequential(sK9(sK1),X0)
| ~ sequential(X0,sK8(sK1))
| ~ edge(sK8(sK1)) )
| ~ spl32_6
| spl32_7 ),
inference(subsumption_resolution,[],[f242,f225]) ).
fof(f242,plain,
( ! [X0] :
( ~ edge(sK9(sK1))
| ~ edge(X0)
| ~ sequential(sK8(sK1),sK9(sK1))
| ~ sequential(sK9(sK1),X0)
| ~ sequential(X0,sK8(sK1))
| ~ edge(sK8(sK1)) )
| spl32_7 ),
inference(resolution,[],[f207,f89]) ).
fof(f89,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,[],[f30]) ).
fof(f30,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',triangle_defn) ).
fof(f207,plain,
( ! [X0] : ~ triangle(sK8(sK1),sK9(sK1),X0)
| spl32_7 ),
inference(unit_resulting_resolution,[],[f205,f141]) ).
fof(f141,plain,
! [X0,X5] :
( ~ triangle(sK8(X0),sK9(X0),X5)
| sP31(X0) ),
inference(cnf_transformation,[],[f141_D]) ).
fof(f141_D,plain,
! [X0] :
( ! [X5] : ~ triangle(sK8(X0),sK9(X0),X5)
<=> ~ sP31(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).
fof(f205,plain,
( ~ sP31(sK1)
| spl32_7 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f288,plain,
( ~ spl32_8
| spl32_9
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(avatar_split_clause,[],[f279,f198,f193,f188,f285,f281]) ).
fof(f279,plain,
( sK8(sK1) = sK9(sK1)
| tail_of(sK8(sK1)) != head_of(sK9(sK1))
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(subsumption_resolution,[],[f278,f225]) ).
fof(f278,plain,
( sK8(sK1) = sK9(sK1)
| tail_of(sK8(sK1)) != head_of(sK9(sK1))
| ~ edge(sK9(sK1))
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(subsumption_resolution,[],[f277,f224]) ).
fof(f277,plain,
( ~ edge(sK8(sK1))
| sK8(sK1) = sK9(sK1)
| tail_of(sK8(sK1)) != head_of(sK9(sK1))
| ~ edge(sK9(sK1))
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(resolution,[],[f269,f71]) ).
fof(f269,plain,
( ~ sequential(sK9(sK1),sK8(sK1))
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f220,f227,f195,f195,f249,f130]) ).
fof(f130,plain,
! [X3,X0,X4,X5] :
( ~ precedes(X5,X4,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X5)
| ~ on_path(X3,X0)
| precedes(X3,X4,X0)
| ~ sP25(X0) ),
inference(general_splitting,[],[f128,f129_D]) ).
fof(f129,plain,
! [X0,X1] :
( ~ sP24(X0,X1)
| sP25(X0) ),
inference(cnf_transformation,[],[f129_D]) ).
fof(f129_D,plain,
! [X0] :
( ! [X1] : ~ sP24(X0,X1)
<=> ~ sP25(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP25])]) ).
fof(f128,plain,
! [X3,X0,X1,X4,X5] :
( ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X5)
| ~ precedes(X5,X4,X0)
| precedes(X3,X4,X0)
| ~ sP24(X0,X1) ),
inference(general_splitting,[],[f65,f127_D]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sP24(X0,X1) ),
inference(cnf_transformation,[],[f127_D]) ).
fof(f127_D,plain,
! [X1,X0] :
( ! [X2] : ~ path(X1,X2,X0)
<=> ~ sP24(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ path(X1,X2,X0)
| ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X5)
| ~ precedes(X5,X4,X0)
| precedes(X3,X4,X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f249,plain,
( ~ precedes(sK9(sK1),sK9(sK1),sK1)
| ~ spl32_4
| ~ spl32_5
| ~ spl32_6 ),
inference(unit_resulting_resolution,[],[f216,f200,f200,f227,f122]) ).
fof(f122,plain,
! [X3,X0,X4,X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5)
| ~ precedes(X3,X4,X0)
| ~ sequential(X3,X4)
| ~ sP21(X0) ),
inference(general_splitting,[],[f120,f121_D]) ).
fof(f121,plain,
! [X0,X1] :
( ~ sP20(X0,X1)
| sP21(X0) ),
inference(cnf_transformation,[],[f121_D]) ).
fof(f121_D,plain,
! [X0] :
( ! [X1] : ~ sP20(X0,X1)
<=> ~ sP21(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP21])]) ).
fof(f120,plain,
! [X3,X0,X1,X4,X5] :
( ~ precedes(X3,X4,X0)
| ~ sequential(X3,X5)
| ~ precedes(X5,X4,X0)
| ~ sequential(X3,X4)
| ~ sP20(X0,X1) ),
inference(general_splitting,[],[f60,f119_D]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sP20(X0,X1) ),
inference(cnf_transformation,[],[f119_D]) ).
fof(f119_D,plain,
! [X1,X0] :
( ! [X2] : ~ path(X1,X2,X0)
<=> ~ sP20(X0,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f60,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ path(X1,X2,X0)
| ~ precedes(X3,X4,X0)
| ~ sequential(X3,X5)
| ~ precedes(X5,X4,X0)
| ~ sequential(X3,X4) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ( sequential(X3,X4)
<~> ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) ) )
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ precedes(X3,X4,X0) )
| ~ path(X1,X2,X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( precedes(X3,X4,X0)
=> ( ( sequential(X3,X4)
<~> ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) ) )
& on_path(X4,X0)
& on_path(X3,X0) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X6,X7] :
( precedes(X6,X7,X3)
=> ( ( sequential(X6,X7)
<~> ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) ) )
& on_path(X7,X3)
& on_path(X6,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',precedes_properties) ).
fof(f216,plain,
sP21(sK1),
inference(unit_resulting_resolution,[],[f168,f121]) ).
fof(f168,plain,
sP20(sK1,sK2),
inference(unit_resulting_resolution,[],[f152,f119]) ).
fof(f220,plain,
sP25(sK1),
inference(unit_resulting_resolution,[],[f170,f129]) ).
fof(f170,plain,
sP24(sK1,sK2),
inference(unit_resulting_resolution,[],[f152,f127]) ).
fof(f206,plain,
( ~ spl32_7
| spl32_3 ),
inference(avatar_split_clause,[],[f182,f184,f203]) ).
fof(f182,plain,
( number_of_in(sequential_pairs,sK1) = number_of_in(triangles,sK1)
| ~ sP31(sK1) ),
inference(resolution,[],[f152,f142]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0)
| ~ sP31(X0) ),
inference(general_splitting,[],[f82,f141_D]) ).
fof(f82,plain,
! [X2,X0,X1,X5] :
( ~ path(X1,X2,X0)
| ~ triangle(sK8(X0),sK9(X0),X5)
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X0) = number_of_in(triangles,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,[],[f44]) ).
fof(f44,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X0) = number_of_in(triangles,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,[],[f29]) ).
fof(f29,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(sequential_pairs,X0) = number_of_in(triangles,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/sandbox2/tmp/tmp.nfZjXfk4me/Vampire---4.8_17653',sequential_pairs_and_triangles) ).
fof(f201,plain,
( spl32_3
| spl32_6 ),
inference(avatar_split_clause,[],[f173,f198,f184]) ).
fof(f173,plain,
( sequential(sK8(sK1),sK9(sK1))
| number_of_in(sequential_pairs,sK1) = number_of_in(triangles,sK1) ),
inference(resolution,[],[f152,f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sequential(sK8(X0),sK9(X0))
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f196,plain,
( spl32_3
| spl32_5 ),
inference(avatar_split_clause,[],[f172,f193,f184]) ).
fof(f172,plain,
( on_path(sK9(sK1),sK1)
| number_of_in(sequential_pairs,sK1) = number_of_in(triangles,sK1) ),
inference(resolution,[],[f152,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| on_path(sK9(X0),X0)
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f191,plain,
( spl32_3
| spl32_4 ),
inference(avatar_split_clause,[],[f171,f188,f184]) ).
fof(f171,plain,
( on_path(sK8(sK1),sK1)
| number_of_in(sequential_pairs,sK1) = number_of_in(triangles,sK1) ),
inference(resolution,[],[f152,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| on_path(sK8(X0),X0)
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f151,plain,
spl32_2,
inference(avatar_split_clause,[],[f52,f147]) ).
fof(f52,plain,
complete,
inference(cnf_transformation,[],[f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRA002+3 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.05/0.10 % 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
% 0.10/0.30 % Computer : n028.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 17:55:00 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.10/0.30 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.nfZjXfk4me/Vampire---4.8_17653
% 0.61/0.77 % (17766)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.77 % (17768)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)
% 0.61/0.77 % (17765)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)
% 0.61/0.77 % (17771)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)
% 0.61/0.77 % (17770)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)
% 0.61/0.77 % (17767)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)
% 0.61/0.77 % (17769)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)
% 0.61/0.77 % (17764)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)
% 0.61/0.77 % (17767)Refutation not found, incomplete strategy% (17767)------------------------------
% 0.61/0.77 % (17767)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.77 % (17767)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77
% 0.61/0.77 % (17767)Memory used [KB]: 1086
% 0.61/0.77 % (17767)Time elapsed: 0.004 s
% 0.61/0.77 % (17767)Instructions burned: 5 (million)
% 0.61/0.77 % (17767)------------------------------
% 0.61/0.77 % (17767)------------------------------
% 0.61/0.78 % (17764)Refutation not found, incomplete strategy% (17764)------------------------------
% 0.61/0.78 % (17764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17764)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (17764)Memory used [KB]: 1080
% 0.61/0.78 % (17764)Time elapsed: 0.004 s
% 0.61/0.78 % (17764)Instructions burned: 6 (million)
% 0.61/0.78 % (17764)------------------------------
% 0.61/0.78 % (17764)------------------------------
% 0.61/0.78 % (17772)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)
% 0.61/0.78 % (17773)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)
% 0.61/0.78 % (17772)Refutation not found, incomplete strategy% (17772)------------------------------
% 0.61/0.78 % (17772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78 % (17772)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78
% 0.61/0.78 % (17772)Memory used [KB]: 1136
% 0.61/0.78 % (17772)Time elapsed: 0.004 s
% 0.61/0.78 % (17772)Instructions burned: 6 (million)
% 0.61/0.78 % (17772)------------------------------
% 0.61/0.78 % (17772)------------------------------
% 0.61/0.79 % (17774)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)
% 0.61/0.79 % (17768)Instruction limit reached!
% 0.61/0.79 % (17768)------------------------------
% 0.61/0.79 % (17768)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (17768)Termination reason: Unknown
% 0.61/0.79 % (17768)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (17768)Memory used [KB]: 1372
% 0.61/0.79 % (17768)Time elapsed: 0.019 s
% 0.61/0.79 % (17768)Instructions burned: 35 (million)
% 0.61/0.79 % (17768)------------------------------
% 0.61/0.79 % (17768)------------------------------
% 0.61/0.79 % (17775)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)
% 0.61/0.79 % (17769)Instruction limit reached!
% 0.61/0.79 % (17769)------------------------------
% 0.61/0.79 % (17769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79 % (17769)Termination reason: Unknown
% 0.61/0.79 % (17769)Termination phase: Saturation
% 0.61/0.79
% 0.61/0.79 % (17769)Memory used [KB]: 1428
% 0.61/0.79 % (17769)Time elapsed: 0.024 s
% 0.61/0.79 % (17769)Instructions burned: 46 (million)
% 0.61/0.79 % (17769)------------------------------
% 0.61/0.79 % (17769)------------------------------
% 0.61/0.80 % (17771)Instruction limit reached!
% 0.61/0.80 % (17771)------------------------------
% 0.61/0.80 % (17771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (17771)Termination reason: Unknown
% 0.61/0.80 % (17771)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (17771)Memory used [KB]: 1426
% 0.61/0.80 % (17771)Time elapsed: 0.027 s
% 0.61/0.80 % (17771)Instructions burned: 56 (million)
% 0.61/0.80 % (17771)------------------------------
% 0.61/0.80 % (17771)------------------------------
% 0.61/0.80 % (17776)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)
% 0.61/0.80 % (17765)Instruction limit reached!
% 0.61/0.80 % (17765)------------------------------
% 0.61/0.80 % (17765)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (17765)Termination reason: Unknown
% 0.61/0.80 % (17765)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (17765)Memory used [KB]: 1740
% 0.61/0.80 % (17765)Time elapsed: 0.029 s
% 0.61/0.80 % (17765)Instructions burned: 51 (million)
% 0.61/0.80 % (17765)------------------------------
% 0.61/0.80 % (17765)------------------------------
% 0.61/0.80 % (17770)First to succeed.
% 0.61/0.80 % (17777)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)
% 0.61/0.80 % (17778)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)
% 0.61/0.80 % (17773)Instruction limit reached!
% 0.61/0.80 % (17773)------------------------------
% 0.61/0.80 % (17773)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80 % (17773)Termination reason: Unknown
% 0.61/0.80 % (17773)Termination phase: Saturation
% 0.61/0.80
% 0.61/0.80 % (17773)Memory used [KB]: 1573
% 0.61/0.80 % (17773)Time elapsed: 0.025 s
% 0.61/0.80 % (17773)Instructions burned: 50 (million)
% 0.61/0.80 % (17773)------------------------------
% 0.61/0.80 % (17773)------------------------------
% 0.61/0.80 % (17770)Refutation found. Thanks to Tanya!
% 0.61/0.80 % SZS status Theorem for Vampire---4
% 0.61/0.80 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.81 % (17770)------------------------------
% 0.61/0.81 % (17770)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81 % (17770)Termination reason: Refutation
% 0.61/0.81
% 0.61/0.81 % (17770)Memory used [KB]: 1539
% 0.61/0.81 % (17770)Time elapsed: 0.031 s
% 0.61/0.81 % (17770)Instructions burned: 57 (million)
% 0.61/0.81 % (17770)------------------------------
% 0.61/0.81 % (17770)------------------------------
% 0.61/0.81 % (17762)Success in time 0.498 s
% 0.61/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------