TSTP Solution File: GRA004+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRA004+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 05:43:56 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 61
% Syntax : Number of formulae : 528 ( 22 unt; 0 def)
% Number of atoms : 1970 ( 364 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 2466 (1024 ~;1121 |; 230 &)
% ( 41 <=>; 42 =>; 0 <=; 8 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 48 ( 46 usr; 33 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 12 con; 0-3 aty)
% Number of variables : 973 ( 903 !; 70 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f946,plain,
$false,
inference(avatar_sat_refutation,[],[f180,f188,f190,f209,f231,f240,f244,f251,f277,f293,f308,f317,f320,f339,f370,f373,f384,f388,f486,f518,f631,f700,f729,f773,f775,f777,f789,f791,f796,f800,f804,f806,f808,f810,f812,f814,f816,f818,f820,f822,f824,f827,f829,f832,f834,f836,f838,f840,f842,f945]) ).
fof(f945,plain,
~ spl17_6,
inference(avatar_contradiction_clause,[],[f944]) ).
fof(f944,plain,
( $false
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f943,f97]) ).
fof(f97,plain,
precedes(sK6,sK7,sK8),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( head_of(sK6) = head_of(sK7)
| head_of(sK7) = tail_of(sK6)
| ( head_of(sK7) = head_of(sK9)
& tail_of(sK6) = tail_of(sK9) ) )
& precedes(sK6,sK7,sK8)
& shortest_path(sK4,sK5,sK8) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9])],[f39,f69,f68]) ).
fof(f68,plain,
( ? [X0,X1,X2,X3,X4] :
( ( head_of(X2) = head_of(X3)
| head_of(X3) = tail_of(X2)
| ? [X5] :
( head_of(X3) = head_of(X5)
& tail_of(X2) = tail_of(X5) ) )
& precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( ( head_of(sK6) = head_of(sK7)
| head_of(sK7) = tail_of(sK6)
| ? [X5] :
( head_of(X5) = head_of(sK7)
& tail_of(X5) = tail_of(sK6) ) )
& precedes(sK6,sK7,sK8)
& shortest_path(sK4,sK5,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ? [X5] :
( head_of(X5) = head_of(sK7)
& tail_of(X5) = tail_of(sK6) )
=> ( head_of(sK7) = head_of(sK9)
& tail_of(sK6) = tail_of(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0,X1,X2,X3,X4] :
( ( head_of(X2) = head_of(X3)
| head_of(X3) = tail_of(X2)
| ? [X5] :
( head_of(X3) = head_of(X5)
& tail_of(X2) = tail_of(X5) ) )
& precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0,X1,X2,X3,X4] :
( ( head_of(X2) = head_of(X3)
| head_of(X3) = tail_of(X2)
| ? [X5] :
( head_of(X3) = head_of(X5)
& tail_of(X2) = tail_of(X5) ) )
& precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( head_of(X2) != head_of(X3)
& head_of(X3) != tail_of(X2)
& ~ ? [X5] :
( head_of(X3) = head_of(X5)
& tail_of(X2) = tail_of(X5) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ( head_of(X6) != head_of(X7)
& tail_of(X6) != head_of(X7)
& ~ ? [X8] :
( head_of(X8) = head_of(X7)
& tail_of(X8) = tail_of(X6) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ( head_of(X6) != head_of(X7)
& tail_of(X6) != head_of(X7)
& ~ ? [X8] :
( head_of(X8) = head_of(X7)
& tail_of(X8) = tail_of(X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_properties_lemma) ).
fof(f943,plain,
( ~ precedes(sK6,sK7,sK8)
| ~ spl17_6 ),
inference(resolution,[],[f941,f96]) ).
fof(f96,plain,
shortest_path(sK4,sK5,sK8),
inference(cnf_transformation,[],[f70]) ).
fof(f941,plain,
( ! [X2,X0,X1] :
( ~ shortest_path(X1,X2,X0)
| ~ precedes(sK6,sK7,X0) )
| ~ spl17_6 ),
inference(equality_resolution,[],[f855]) ).
fof(f855,plain,
( ! [X2,X3,X0,X1] :
( head_of(X0) != head_of(sK6)
| ~ precedes(X0,sK7,X1)
| ~ shortest_path(X2,X3,X1) )
| ~ spl17_6 ),
inference(superposition,[],[f656,f208]) ).
fof(f208,plain,
( head_of(sK6) = head_of(sK7)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl17_6
<=> head_of(sK6) = head_of(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f656,plain,
! [X2,X3,X0,X1,X4] :
( head_of(X0) != head_of(X1)
| ~ precedes(X1,X0,X2)
| ~ shortest_path(X3,X4,X2) ),
inference(equality_resolution,[],[f150]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4,X5] :
( tail_of(X2) != tail_of(X5)
| head_of(X3) != head_of(X5)
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X3) != head_of(X5)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X3) != head_of(X5)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( ( precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( ~ precedes(X3,X2,X4)
& ~ ? [X5] :
( head_of(X3) = head_of(X5)
& 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/benchmark/theBenchmark.p',shortest_path_properties) ).
fof(f842,plain,
( spl17_5
| ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| spl17_5
| ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(global_subsumption,[],[f203,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f196,f171,f219,f220,f221,f110,f245,f127,f246,f250,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f269,f265,f108,f132,f330,f133,f258,f343,f344,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f345,f351,f346,f116,f399,f276,f401,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f830,f342,f273]) ).
fof(f273,plain,
( ~ sequential(sK6,sK7)
| spl17_12 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl17_12
<=> sequential(sK6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_12])]) ).
fof(f342,plain,
( sequential(sK6,sK7)
| head_of(sK6) = tail_of(sK12(sK8,sK7,sK6))
| ~ spl17_11 ),
inference(resolution,[],[f258,f250]) ).
fof(f830,plain,
( sequential(sK6,sK7)
| ~ spl17_11
| ~ spl17_13 ),
inference(subsumption_resolution,[],[f403,f250]) ).
fof(f403,plain,
( sequential(sK6,sK7)
| ~ sP2(sK8,sK7,sK6)
| ~ spl17_13 ),
inference(duplicate_literal_removal,[],[f402]) ).
fof(f402,plain,
( sequential(sK6,sK7)
| ~ sP2(sK8,sK7,sK6)
| sequential(sK6,sK7)
| ~ sP2(sK8,sK7,sK6)
| ~ spl17_13 ),
inference(resolution,[],[f401,f122]) ).
fof(f99,plain,
( head_of(sK6) = head_of(sK7)
| head_of(sK7) = tail_of(sK6)
| head_of(sK7) = head_of(sK9) ),
inference(cnf_transformation,[],[f70]) ).
fof(f705,plain,
! [X0,X1] :
( sP3(sK8,X0,X1)
| X0 = X1
| ~ path(X1,X0,sK8)
| ~ path(sK4,sK5,sK15(sK8,X0,X1)) ),
inference(resolution,[],[f141,f268]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ less_or_equal(length_of(X0),length_of(sK15(X0,X1,X2)))
| sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ( ~ less_or_equal(length_of(X0),length_of(sK15(X0,X1,X2)))
& path(X2,X1,sK15(X0,X1,X2)) )
| X1 = X2
| ~ path(X2,X1,X0) )
& ( ( ! [X4] :
( less_or_equal(length_of(X0),length_of(X4))
| ~ path(X2,X1,X4) )
& X1 != X2
& path(X2,X1,X0) )
| ~ sP3(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f90,f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ less_or_equal(length_of(X0),length_of(X3))
& path(X2,X1,X3) )
=> ( ~ less_or_equal(length_of(X0),length_of(sK15(X0,X1,X2)))
& path(X2,X1,sK15(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( sP3(X0,X1,X2)
| ? [X3] :
( ~ less_or_equal(length_of(X0),length_of(X3))
& path(X2,X1,X3) )
| X1 = X2
| ~ path(X2,X1,X0) )
& ( ( ! [X4] :
( less_or_equal(length_of(X0),length_of(X4))
| ~ path(X2,X1,X4) )
& X1 != X2
& path(X2,X1,X0) )
| ~ sP3(X0,X1,X2) ) ),
inference(rectify,[],[f89]) ).
fof(f89,plain,
! [X2,X1,X0] :
( ( sP3(X2,X1,X0)
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) )
| X0 = X1
| ~ path(X0,X1,X2) )
& ( ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) )
| ~ sP3(X2,X1,X0) ) ),
inference(flattening,[],[f88]) ).
fof(f88,plain,
! [X2,X1,X0] :
( ( sP3(X2,X1,X0)
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) )
| X0 = X1
| ~ path(X0,X1,X2) )
& ( ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) )
| ~ sP3(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X2,X1,X0] :
( sP3(X2,X1,X0)
<=> ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f691,plain,
! [X2,X3,X0,X1] :
( ~ sequential(X0,sK13(X1))
| ~ sequential(sK14(X1),X0)
| number_of_in(sequential_pairs,X1) = number_of_in(triangles,X1)
| ~ path(X2,X3,X1) ),
inference(subsumption_resolution,[],[f690,f134]) ).
fof(f690,plain,
! [X2,X3,X0,X1] :
( ~ sequential(X0,sK13(X1))
| ~ sequential(sK14(X1),X0)
| ~ sequential(sK13(X1),sK14(X1))
| number_of_in(sequential_pairs,X1) = number_of_in(triangles,X1)
| ~ path(X2,X3,X1) ),
inference(resolution,[],[f687,f135]) ).
fof(f687,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1) ),
inference(subsumption_resolution,[],[f686,f104]) ).
fof(f686,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X0) ),
inference(subsumption_resolution,[],[f685,f104]) ).
fof(f685,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X1)
| ~ edge(X0) ),
inference(subsumption_resolution,[],[f136,f104]) ).
fof(f683,plain,
! [X0] :
( length_of(path_cons(sK16(sK8,tail_of(X0)),empty)) = number_of_in(edges,path_cons(sK16(sK8,tail_of(X0)),empty))
| ~ on_path(X0,sK8) ),
inference(resolution,[],[f555,f195]) ).
fof(f681,plain,
! [X0] :
( length_of(path_cons(sK16(sK8,head_of(X0)),empty)) = number_of_in(edges,path_cons(sK16(sK8,head_of(X0)),empty))
| ~ on_path(X0,sK8) ),
inference(resolution,[],[f555,f183]) ).
fof(f555,plain,
! [X0] :
( ~ in_path(X0,sK8)
| length_of(path_cons(sK16(sK8,X0),empty)) = number_of_in(edges,path_cons(sK16(sK8,X0),empty)) ),
inference(resolution,[],[f425,f255]) ).
fof(f661,plain,
! [X0] : ~ precedes(X0,X0,sK8),
inference(resolution,[],[f660,f96]) ).
fof(f660,plain,
! [X2,X3,X0,X1] :
( ~ shortest_path(X2,X3,X1)
| ~ precedes(X0,X0,X1) ),
inference(equality_resolution,[],[f656]) ).
fof(f651,plain,
! [X2,X3,X0,X1,X4] :
( tail_of(X0) != sK4
| head_of(X1) != head_of(sK10(sK5,sK8,sK4))
| ~ precedes(X0,X1,X2)
| ~ shortest_path(X3,X4,X2) ),
inference(superposition,[],[f150,f219]) ).
fof(f646,plain,
! [X2,X3,X0,X1,X4] :
( tail_of(X0) != sK4
| head_of(X0) != head_of(X1)
| ~ precedes(sK10(sK5,sK8,sK4),X1,X2)
| ~ shortest_path(X3,X4,X2) ),
inference(superposition,[],[f150,f219]) ).
fof(f532,plain,
! [X2,X3,X0,X1] :
( ~ on_path(X0,sK8)
| ~ on_path(X1,sK8)
| ~ sequential(X1,X0)
| sP2(sK8,X0,X1)
| ~ path(X2,X3,sK8) ),
inference(resolution,[],[f524,f127]) ).
fof(f584,plain,
! [X0] :
( ~ on_path(sK10(sK5,sK8,sK4),path_cons(X0,empty))
| in_path(sK4,path_cons(X0,empty))
| ~ edge(X0) ),
inference(superposition,[],[f436,f219]) ).
fof(f589,plain,
! [X0,X1] :
( ~ on_path(X0,path_cons(X1,empty))
| ~ edge(X1)
| vertex(tail_of(X0)) ),
inference(duplicate_literal_removal,[],[f582]) ).
fof(f582,plain,
! [X0,X1] :
( ~ on_path(X0,path_cons(X1,empty))
| ~ edge(X1)
| ~ edge(X1)
| vertex(tail_of(X0)) ),
inference(resolution,[],[f436,f432]) ).
fof(f608,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| tail_of(sK10(X1,sK15(X0,X1,X2),X2)) = X2 ),
inference(resolution,[],[f140,f171]) ).
fof(f607,plain,
! [X2,X3,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| ~ on_path(X3,sK15(X0,X1,X2))
| in_path(tail_of(X3),sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f149]) ).
fof(f606,plain,
! [X2,X3,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| ~ on_path(X3,sK15(X0,X1,X2))
| in_path(head_of(X3),sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f148]) ).
fof(f605,plain,
! [X2,X3,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| ~ on_path(X3,sK15(X0,X1,X2))
| edge(X3) ),
inference(resolution,[],[f140,f147]) ).
fof(f604,plain,
! [X2,X3,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| ~ in_path(X3,sK15(X0,X1,X2))
| on_path(sK16(sK15(X0,X1,X2),X3),sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f145]) ).
fof(f603,plain,
! [X2,X3,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| ~ in_path(X3,sK15(X0,X1,X2))
| vertex(X3) ),
inference(resolution,[],[f140,f144]) ).
fof(f602,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| sequential(sK13(sK15(X0,X1,X2)),sK14(sK15(X0,X1,X2)))
| number_of_in(sequential_pairs,sK15(X0,X1,X2)) = number_of_in(triangles,sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f134]) ).
fof(f601,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| on_path(sK14(sK15(X0,X1,X2)),sK15(X0,X1,X2))
| number_of_in(sequential_pairs,sK15(X0,X1,X2)) = number_of_in(triangles,sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f133]) ).
fof(f600,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| on_path(sK13(sK15(X0,X1,X2)),sK15(X0,X1,X2))
| number_of_in(sequential_pairs,sK15(X0,X1,X2)) = number_of_in(triangles,sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f132]) ).
fof(f599,plain,
! [X2,X3,X0,X1,X4] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| ~ sequential(X3,X4)
| ~ on_path(X4,sK15(X0,X1,X2))
| ~ on_path(X3,sK15(X0,X1,X2))
| precedes(X3,X4,sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f128]) ).
fof(f596,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| number_of_in(sequential_pairs,sK15(X0,X1,X2)) = minus(length_of(sK15(X0,X1,X2)),n1) ),
inference(resolution,[],[f140,f110]) ).
fof(f595,plain,
! [X2,X0,X1] :
( sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0)
| length_of(sK15(X0,X1,X2)) = number_of_in(edges,sK15(X0,X1,X2)) ),
inference(resolution,[],[f140,f109]) ).
fof(f140,plain,
! [X2,X0,X1] :
( path(X2,X1,sK15(X0,X1,X2))
| sP3(X0,X1,X2)
| X1 = X2
| ~ path(X2,X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f436,plain,
! [X0,X1] :
( in_path(tail_of(X1),path_cons(X0,empty))
| ~ on_path(X1,path_cons(X0,empty))
| ~ edge(X0) ),
inference(resolution,[],[f424,f149]) ).
fof(f573,plain,
! [X0,X1] :
( ~ on_path(X0,path_cons(X1,empty))
| ~ edge(X1)
| vertex(head_of(X0)) ),
inference(duplicate_literal_removal,[],[f570]) ).
fof(f570,plain,
! [X0,X1] :
( ~ on_path(X0,path_cons(X1,empty))
| ~ edge(X1)
| ~ edge(X1)
| vertex(head_of(X0)) ),
inference(resolution,[],[f435,f432]) ).
fof(f435,plain,
! [X0,X1] :
( in_path(head_of(X1),path_cons(X0,empty))
| ~ on_path(X1,path_cons(X0,empty))
| ~ edge(X0) ),
inference(resolution,[],[f424,f148]) ).
fof(f135,plain,
! [X2,X0,X1,X5] :
( ~ triangle(sK13(X0),sK14(X0),X5)
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0)
| ( ! [X5] : ~ triangle(sK13(X0),sK14(X0),X5)
& sequential(sK13(X0),sK14(X0))
& on_path(sK14(X0),X0)
& on_path(sK13(X0),X0) )
| ~ path(X1,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f51,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& sequential(X3,X4)
& on_path(X4,X0)
& on_path(X3,X0) )
=> ( ! [X5] : ~ triangle(sK13(X0),sK14(X0),X5)
& sequential(sK13(X0),sK14(X0))
& on_path(sK14(X0),X0)
& on_path(sK13(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f51,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,[],[f50]) ).
fof(f50,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,[],[f30]) ).
fof(f30,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/sandbox/benchmark/theBenchmark.p',sequential_pairs_and_triangles) ).
fof(f558,plain,
! [X2,X0,X1] :
( path_cons(sK10(X0,X1,X2),empty) = X1
| vertex(head_of(sK10(X0,X1,X2)))
| ~ sP1(X0,X1,X2) ),
inference(resolution,[],[f466,f113]) ).
fof(f466,plain,
! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| path_cons(X0,empty) = X1
| vertex(head_of(X0)) ),
inference(resolution,[],[f115,f119]) ).
fof(f554,plain,
! [X2,X0,X1] :
( length_of(path_cons(sK12(X0,X1,X2),empty)) = number_of_in(edges,path_cons(sK12(X0,X1,X2),empty))
| ~ sP2(X0,X1,X2)
| sequential(X2,X1) ),
inference(resolution,[],[f425,f259]) ).
fof(f552,plain,
! [X2,X0,X1] :
( length_of(path_cons(sK10(X0,X1,X2),empty)) = number_of_in(edges,path_cons(sK10(X0,X1,X2),empty))
| ~ sP1(X0,X1,X2) ),
inference(resolution,[],[f425,f111]) ).
fof(f425,plain,
! [X0] :
( ~ edge(X0)
| length_of(path_cons(X0,empty)) = number_of_in(edges,path_cons(X0,empty)) ),
inference(resolution,[],[f424,f109]) ).
fof(f549,plain,
! [X2,X0,X1] :
( path_cons(sK10(X0,X1,X2),empty) = X1
| vertex(X0)
| ~ sP1(X0,X1,X2) ),
inference(resolution,[],[f467,f113]) ).
fof(f467,plain,
! [X2,X0,X1] :
( ~ sP0(X1,X0,X2)
| path_cons(X0,empty) = X1
| vertex(X2) ),
inference(resolution,[],[f115,f120]) ).
fof(f546,plain,
! [X2,X0,X1] :
( ~ sequential(sK12(X0,X1,X2),X2)
| ~ on_path(X2,sK8)
| ~ on_path(sK12(X0,X1,X2),sK8)
| sequential(X2,X1)
| ~ sP2(X0,X1,X2) ),
inference(resolution,[],[f545,f122]) ).
fof(f545,plain,
! [X0,X1] :
( ~ sequential(X1,X0)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8)
| ~ on_path(X0,sK8) ),
inference(duplicate_literal_removal,[],[f544]) ).
fof(f544,plain,
! [X0,X1] :
( ~ on_path(X0,sK8)
| ~ sequential(X0,X1)
| ~ on_path(X1,sK8)
| ~ on_path(X0,sK8)
| ~ on_path(X1,sK8)
| ~ sequential(X1,X0) ),
inference(resolution,[],[f531,f524]) ).
fof(f543,plain,
! [X0,X1] :
( ~ on_path(X0,sK8)
| ~ sequential(X0,sK12(sK8,X0,X1))
| ~ on_path(sK12(sK8,X0,X1),sK8)
| sequential(X1,X0)
| ~ sP2(sK8,X0,X1) ),
inference(resolution,[],[f531,f123]) ).
fof(f531,plain,
! [X0,X1] :
( ~ precedes(X0,X1,sK8)
| ~ on_path(X1,sK8)
| ~ sequential(X1,X0)
| ~ on_path(X0,sK8) ),
inference(resolution,[],[f524,f256]) ).
fof(f535,plain,
! [X0,X1] :
( ~ on_path(sK12(sK8,X0,X1),sK8)
| ~ on_path(X0,sK8)
| ~ sequential(X0,sK12(sK8,X0,X1))
| ~ sP2(sK8,X0,X1)
| sequential(X1,X0) ),
inference(resolution,[],[f524,f267]) ).
fof(f524,plain,
! [X0,X1] :
( precedes(X0,X1,sK8)
| ~ on_path(X1,sK8)
| ~ on_path(X0,sK8)
| ~ sequential(X0,X1) ),
inference(resolution,[],[f128,f164]) ).
fof(f530,plain,
! [X2,X0,X1] :
( ~ sequential(X0,X1)
| ~ on_path(X1,path_cons(X2,empty))
| ~ on_path(X0,path_cons(X2,empty))
| precedes(X0,X1,path_cons(X2,empty))
| ~ edge(X2) ),
inference(resolution,[],[f128,f424]) ).
fof(f527,plain,
! [X2,X3,X0,X1,X4] :
( ~ sequential(X0,X1)
| ~ on_path(X1,sK11(X2,X3,X4))
| ~ on_path(X0,sK11(X2,X3,X4))
| precedes(X0,X1,sK11(X2,X3,X4))
| head_of(X3) = X4
| ~ sP0(X2,X3,X4) ),
inference(resolution,[],[f128,f114]) ).
fof(f526,plain,
! [X2,X3,X0,X1,X4] :
( ~ sequential(X0,X1)
| ~ on_path(X1,sK11(X2,X3,X4))
| ~ on_path(X0,sK11(X2,X3,X4))
| precedes(X0,X1,sK11(X2,X3,X4))
| path_cons(X3,empty) = X2
| ~ sP0(X2,X3,X4) ),
inference(resolution,[],[f128,f115]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ path(X1,X2,X0)
| ~ sequential(X3,X4)
| ~ on_path(X4,X0)
| ~ on_path(X3,X0)
| precedes(X3,X4,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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,[],[f46]) ).
fof(f46,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,[],[f28]) ).
fof(f28,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/benchmark/theBenchmark.p',precedes_defn) ).
fof(f496,plain,
! [X2,X0,X1] :
( path_cons(sK10(X0,X1,X2),empty) = X1
| path_cons(sK10(X0,X1,X2),sK11(X1,sK10(X0,X1,X2),X0)) = X1
| ~ sP1(X0,X1,X2) ),
inference(resolution,[],[f117,f113]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| path_cons(X1,empty) = X0
| path_cons(X1,sK11(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( path_cons(X1,X3) != X0
| ~ path(head_of(X1),X2,X3) )
| path_cons(X1,empty) != X0
| head_of(X1) != X2 )
& ( ( path_cons(X1,sK11(X0,X1,X2)) = X0
& path(head_of(X1),X2,sK11(X0,X1,X2)) )
| ( path_cons(X1,empty) = X0
& head_of(X1) = X2 ) ) )
| ~ sP0(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f79,f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ? [X4] :
( path_cons(X1,X4) = X0
& path(head_of(X1),X2,X4) )
=> ( path_cons(X1,sK11(X0,X1,X2)) = X0
& path(head_of(X1),X2,sK11(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( path_cons(X1,X3) != X0
| ~ path(head_of(X1),X2,X3) )
| path_cons(X1,empty) != X0
| head_of(X1) != X2 )
& ( ? [X4] :
( path_cons(X1,X4) = X0
& path(head_of(X1),X2,X4) )
| ( path_cons(X1,empty) = X0
& head_of(X1) = X2 ) ) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X2,X3,X1] :
( ( ( ! [X4] :
( path_cons(X3,X4) != X2
| ~ path(head_of(X3),X1,X4) )
| path_cons(X3,empty) != X2
| head_of(X3) != X1 )
& ( ? [X4] :
( path_cons(X3,X4) = X2
& path(head_of(X3),X1,X4) )
| ( path_cons(X3,empty) = X2
& head_of(X3) = X1 ) ) )
| ~ sP0(X2,X3,X1) ),
inference(flattening,[],[f77]) ).
fof(f77,plain,
! [X2,X3,X1] :
( ( ( ! [X4] :
( path_cons(X3,X4) != X2
| ~ path(head_of(X3),X1,X4) )
| path_cons(X3,empty) != X2
| head_of(X3) != X1 )
& ( ? [X4] :
( path_cons(X3,X4) = X2
& path(head_of(X3),X1,X4) )
| ( path_cons(X3,empty) = X2
& head_of(X3) = X1 ) ) )
| ~ sP0(X2,X3,X1) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X2,X3,X1] :
( ( ( path_cons(X3,empty) = X2
& head_of(X3) = X1 )
<~> ? [X4] :
( path_cons(X3,X4) = X2
& path(head_of(X3),X1,X4) ) )
| ~ sP0(X2,X3,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f434,plain,
! [X0,X1] :
( ~ on_path(X1,path_cons(X0,empty))
| ~ edge(X0)
| edge(X1) ),
inference(resolution,[],[f424,f147]) ).
fof(f432,plain,
! [X0,X1] :
( ~ in_path(X1,path_cons(X0,empty))
| ~ edge(X0)
| vertex(X1) ),
inference(resolution,[],[f424,f144]) ).
fof(f476,plain,
! [X2,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| head_of(X0) = tail_of(sK10(X2,sK11(X1,X0,X2),head_of(X0))) ),
inference(resolution,[],[f115,f171]) ).
fof(f475,plain,
! [X2,X3,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| ~ on_path(X3,sK11(X1,X0,X2))
| in_path(tail_of(X3),sK11(X1,X0,X2)) ),
inference(resolution,[],[f115,f149]) ).
fof(f474,plain,
! [X2,X3,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| ~ on_path(X3,sK11(X1,X0,X2))
| in_path(head_of(X3),sK11(X1,X0,X2)) ),
inference(resolution,[],[f115,f148]) ).
fof(f473,plain,
! [X2,X3,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| ~ on_path(X3,sK11(X1,X0,X2))
| edge(X3) ),
inference(resolution,[],[f115,f147]) ).
fof(f472,plain,
! [X2,X3,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| ~ in_path(X3,sK11(X1,X0,X2))
| on_path(sK16(sK11(X1,X0,X2),X3),sK11(X1,X0,X2)) ),
inference(resolution,[],[f115,f145]) ).
fof(f471,plain,
! [X2,X3,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| ~ in_path(X3,sK11(X1,X0,X2))
| vertex(X3) ),
inference(resolution,[],[f115,f144]) ).
fof(f470,plain,
! [X2,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| sequential(sK13(sK11(X1,X0,X2)),sK14(sK11(X1,X0,X2)))
| number_of_in(sequential_pairs,sK11(X1,X0,X2)) = number_of_in(triangles,sK11(X1,X0,X2)) ),
inference(resolution,[],[f115,f134]) ).
fof(f469,plain,
! [X2,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| on_path(sK14(sK11(X1,X0,X2)),sK11(X1,X0,X2))
| number_of_in(sequential_pairs,sK11(X1,X0,X2)) = number_of_in(triangles,sK11(X1,X0,X2)) ),
inference(resolution,[],[f115,f133]) ).
fof(f468,plain,
! [X2,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| on_path(sK13(sK11(X1,X0,X2)),sK11(X1,X0,X2))
| number_of_in(sequential_pairs,sK11(X1,X0,X2)) = number_of_in(triangles,sK11(X1,X0,X2)) ),
inference(resolution,[],[f115,f132]) ).
fof(f465,plain,
! [X2,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| number_of_in(sequential_pairs,sK11(X1,X0,X2)) = minus(length_of(sK11(X1,X0,X2)),n1) ),
inference(resolution,[],[f115,f110]) ).
fof(f464,plain,
! [X2,X0,X1] :
( path_cons(X0,empty) = X1
| ~ sP0(X1,X0,X2)
| length_of(sK11(X1,X0,X2)) = number_of_in(edges,sK11(X1,X0,X2)) ),
inference(resolution,[],[f115,f109]) ).
fof(f115,plain,
! [X2,X0,X1] :
( path(head_of(X1),X2,sK11(X0,X1,X2))
| path_cons(X1,empty) = X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f437,plain,
! [X0] :
( ~ edge(X0)
| tail_of(X0) = tail_of(sK10(head_of(X0),path_cons(X0,empty),tail_of(X0))) ),
inference(resolution,[],[f424,f171]) ).
fof(f433,plain,
! [X0,X1] :
( ~ edge(X0)
| ~ in_path(X1,path_cons(X0,empty))
| on_path(sK16(path_cons(X0,empty),X1),path_cons(X0,empty)) ),
inference(resolution,[],[f424,f145]) ).
fof(f431,plain,
! [X0] :
( ~ edge(X0)
| sequential(sK13(path_cons(X0,empty)),sK14(path_cons(X0,empty)))
| number_of_in(sequential_pairs,path_cons(X0,empty)) = number_of_in(triangles,path_cons(X0,empty)) ),
inference(resolution,[],[f424,f134]) ).
fof(f430,plain,
! [X0] :
( ~ edge(X0)
| on_path(sK14(path_cons(X0,empty)),path_cons(X0,empty))
| number_of_in(sequential_pairs,path_cons(X0,empty)) = number_of_in(triangles,path_cons(X0,empty)) ),
inference(resolution,[],[f424,f133]) ).
fof(f429,plain,
! [X0] :
( ~ edge(X0)
| on_path(sK13(path_cons(X0,empty)),path_cons(X0,empty))
| number_of_in(sequential_pairs,path_cons(X0,empty)) = number_of_in(triangles,path_cons(X0,empty)) ),
inference(resolution,[],[f424,f132]) ).
fof(f426,plain,
! [X0] :
( ~ edge(X0)
| number_of_in(sequential_pairs,path_cons(X0,empty)) = minus(length_of(path_cons(X0,empty)),n1) ),
inference(resolution,[],[f424,f110]) ).
fof(f424,plain,
! [X3] :
( path(tail_of(X3),head_of(X3),path_cons(X3,empty))
| ~ edge(X3) ),
inference(subsumption_resolution,[],[f423,f102]) ).
fof(f423,plain,
! [X3] :
( path(tail_of(X3),head_of(X3),path_cons(X3,empty))
| ~ edge(X3)
| ~ vertex(tail_of(X3)) ),
inference(subsumption_resolution,[],[f159,f101]) ).
fof(f421,plain,
! [X2,X0,X1] :
( sequential(sK13(sK11(X0,X1,X2)),sK14(sK11(X0,X1,X2)))
| number_of_in(sequential_pairs,sK11(X0,X1,X2)) = number_of_in(triangles,sK11(X0,X1,X2))
| head_of(X1) = X2
| ~ sP0(X0,X1,X2) ),
inference(resolution,[],[f134,f114]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| sequential(sK13(X0),sK14(X0))
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| vertex(X0)
| head_of(sK10(X0,X1,X2)) = X0 ),
inference(resolution,[],[f351,f113]) ).
fof(f406,plain,
! [X2,X0,X1] :
( head_of(sK10(X0,X1,X2)) = X0
| vertex(head_of(sK10(X0,X1,X2)))
| ~ sP1(X0,X1,X2) ),
inference(resolution,[],[f350,f113]) ).
fof(f350,plain,
! [X2,X0,X1] :
( ~ sP0(X2,X0,X1)
| head_of(X0) = X1
| vertex(head_of(X0)) ),
inference(resolution,[],[f114,f119]) ).
fof(f401,plain,
( ! [X0] :
( ~ sequential(sK6,sK12(sK8,sK7,X0))
| sequential(X0,sK7)
| ~ sP2(sK8,sK7,X0) )
| ~ spl17_13 ),
inference(resolution,[],[f276,f123]) ).
fof(f276,plain,
( ! [X0] :
( ~ precedes(X0,sK7,sK8)
| ~ sequential(sK6,X0) )
| ~ spl17_13 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl17_13
<=> ! [X0] :
( ~ sequential(sK6,X0)
| ~ precedes(X0,sK7,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_13])]) ).
fof(f399,plain,
! [X2,X0,X1] :
( head_of(sK10(X0,X1,X2)) = X0
| path_cons(sK10(X0,X1,X2),sK11(X1,sK10(X0,X1,X2),X0)) = X1
| ~ sP1(X0,X1,X2) ),
inference(resolution,[],[f116,f113]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| head_of(X1) = X2
| path_cons(X1,sK11(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f346,plain,
( head_of(sK6) != head_of(sK12(sK8,sK7,sK6))
| ~ edge(sK12(sK8,sK7,sK6))
| ~ spl17_11
| spl17_12 ),
inference(superposition,[],[f100,f343]) ).
fof(f351,plain,
! [X2,X0,X1] :
( ~ sP0(X2,X0,X1)
| head_of(X0) = X1
| vertex(X1) ),
inference(resolution,[],[f114,f120]) ).
fof(f345,plain,
( in_path(head_of(sK6),sK8)
| ~ on_path(sK12(sK8,sK7,sK6),sK8)
| ~ spl17_11
| spl17_12 ),
inference(superposition,[],[f195,f343]) ).
fof(f359,plain,
! [X2,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| head_of(X0) = tail_of(sK10(X1,sK11(X2,X0,X1),head_of(X0))) ),
inference(resolution,[],[f114,f171]) ).
fof(f358,plain,
! [X2,X3,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| ~ on_path(X3,sK11(X2,X0,X1))
| in_path(tail_of(X3),sK11(X2,X0,X1)) ),
inference(resolution,[],[f114,f149]) ).
fof(f357,plain,
! [X2,X3,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| ~ on_path(X3,sK11(X2,X0,X1))
| in_path(head_of(X3),sK11(X2,X0,X1)) ),
inference(resolution,[],[f114,f148]) ).
fof(f356,plain,
! [X2,X3,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| ~ on_path(X3,sK11(X2,X0,X1))
| edge(X3) ),
inference(resolution,[],[f114,f147]) ).
fof(f355,plain,
! [X2,X3,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| ~ in_path(X3,sK11(X2,X0,X1))
| on_path(sK16(sK11(X2,X0,X1),X3),sK11(X2,X0,X1)) ),
inference(resolution,[],[f114,f145]) ).
fof(f354,plain,
! [X2,X3,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| ~ in_path(X3,sK11(X2,X0,X1))
| vertex(X3) ),
inference(resolution,[],[f114,f144]) ).
fof(f353,plain,
! [X2,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| on_path(sK14(sK11(X2,X0,X1)),sK11(X2,X0,X1))
| number_of_in(sequential_pairs,sK11(X2,X0,X1)) = number_of_in(triangles,sK11(X2,X0,X1)) ),
inference(resolution,[],[f114,f133]) ).
fof(f352,plain,
! [X2,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| on_path(sK13(sK11(X2,X0,X1)),sK11(X2,X0,X1))
| number_of_in(sequential_pairs,sK11(X2,X0,X1)) = number_of_in(triangles,sK11(X2,X0,X1)) ),
inference(resolution,[],[f114,f132]) ).
fof(f349,plain,
! [X2,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| number_of_in(sequential_pairs,sK11(X2,X0,X1)) = minus(length_of(sK11(X2,X0,X1)),n1) ),
inference(resolution,[],[f114,f110]) ).
fof(f348,plain,
! [X2,X0,X1] :
( head_of(X0) = X1
| ~ sP0(X2,X0,X1)
| length_of(sK11(X2,X0,X1)) = number_of_in(edges,sK11(X2,X0,X1)) ),
inference(resolution,[],[f114,f109]) ).
fof(f114,plain,
! [X2,X0,X1] :
( path(head_of(X1),X2,sK11(X0,X1,X2))
| head_of(X1) = X2
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f344,plain,
( ! [X0] :
( head_of(X0) != head_of(sK6)
| sequential(X0,sK12(sK8,sK7,sK6))
| sK12(sK8,sK7,sK6) = X0
| ~ edge(sK12(sK8,sK7,sK6))
| ~ edge(X0) )
| ~ spl17_11
| spl17_12 ),
inference(superposition,[],[f108,f343]) ).
fof(f343,plain,
( head_of(sK6) = tail_of(sK12(sK8,sK7,sK6))
| ~ spl17_11
| spl17_12 ),
inference(subsumption_resolution,[],[f342,f273]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ sP2(X2,X1,X0)
| sequential(X0,X1)
| head_of(X0) = tail_of(sK12(X2,X1,X0)) ),
inference(resolution,[],[f122,f107]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| on_path(sK14(X0),X0)
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f330,plain,
( on_path(sK13(sK8),sK8)
| number_of_in(sequential_pairs,sK8) = number_of_in(triangles,sK8) ),
inference(resolution,[],[f132,f164]) ).
fof(f132,plain,
! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| on_path(sK13(X0),X0)
| number_of_in(sequential_pairs,X0) = number_of_in(triangles,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f108,plain,
! [X0,X1] :
( head_of(X0) != tail_of(X1)
| sequential(X0,X1)
| X0 = X1
| ~ edge(X1)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( sequential(X0,X1)
| head_of(X0) != tail_of(X1)
| X0 = X1
| ~ edge(X1)
| ~ edge(X0) )
& ( ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) )
| ~ sequential(X0,X1) ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( sequential(X0,X1)
| head_of(X0) != tail_of(X1)
| X0 = X1
| ~ edge(X1)
| ~ edge(X0) )
& ( ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) )
| ~ sequential(X0,X1) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,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/benchmark/theBenchmark.p',sequential_defn) ).
fof(f265,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP2(X2,X1,X0)
| sequential(X0,X1)
| on_path(X1,X2)
| ~ path(X3,X4,X2) ),
inference(resolution,[],[f123,f126]) ).
fof(f269,plain,
( ! [X0] :
( ~ sequential(sK6,X0)
| ~ sequential(sK6,sK7)
| ~ precedes(X0,sK7,sK8) )
| ~ spl17_11 ),
inference(resolution,[],[f124,f250]) ).
fof(f124,plain,
! [X2,X3,X0,X1] :
( ~ sP2(X0,X1,X2)
| ~ sequential(X2,X3)
| ~ sequential(X2,X1)
| ~ precedes(X3,X1,X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ~ precedes(X3,X1,X0)
| ~ sequential(X2,X3) )
| ~ sequential(X2,X1) )
& ( ( precedes(sK12(X0,X1,X2),X1,X0)
& sequential(X2,sK12(X0,X1,X2)) )
| sequential(X2,X1) ) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f83,f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ? [X4] :
( precedes(X4,X1,X0)
& sequential(X2,X4) )
=> ( precedes(sK12(X0,X1,X2),X1,X0)
& sequential(X2,sK12(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ( ! [X3] :
( ~ precedes(X3,X1,X0)
| ~ sequential(X2,X3) )
| ~ sequential(X2,X1) )
& ( ? [X4] :
( precedes(X4,X1,X0)
& sequential(X2,X4) )
| sequential(X2,X1) ) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X0,X4,X3] :
( ( ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
| ~ sequential(X3,X4) )
& ( ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) )
| sequential(X3,X4) ) )
| ~ sP2(X0,X4,X3) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X4,X3] :
( ( sequential(X3,X4)
<~> ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) ) )
| ~ sP2(X0,X4,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f268,plain,
! [X0] :
( less_or_equal(length_of(sK8),length_of(X0))
| ~ path(sK4,sK5,X0) ),
inference(resolution,[],[f263,f96]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( ~ shortest_path(X0,X1,X3)
| less_or_equal(length_of(X3),length_of(X2))
| ~ path(X0,X1,X2) ),
inference(resolution,[],[f139,f142]) ).
fof(f267,plain,
! [X0,X1] :
( ~ precedes(X1,sK12(sK8,X1,X0),sK8)
| ~ sP2(sK8,X1,X0)
| sequential(X0,X1) ),
inference(resolution,[],[f123,f256]) ).
fof(f266,plain,
! [X2,X3,X0,X1,X4] :
( sequential(X0,X1)
| ~ sP2(X2,X1,X0)
| on_path(sK12(X2,X1,X0),X2)
| ~ path(X3,X4,X2) ),
inference(resolution,[],[f123,f125]) ).
fof(f264,plain,
! [X2,X3,X0,X1,X4] :
( sequential(X0,X1)
| ~ sP2(X2,X1,X0)
| sP2(X2,X1,sK12(X2,X1,X0))
| ~ path(X3,X4,X2) ),
inference(resolution,[],[f123,f127]) ).
fof(f123,plain,
! [X2,X0,X1] :
( precedes(sK12(X0,X1,X2),X1,X0)
| sequential(X2,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f139,plain,
! [X2,X0,X1,X4] :
( ~ sP3(X0,X1,X2)
| ~ path(X2,X1,X4)
| less_or_equal(length_of(X0),length_of(X4)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f259,plain,
! [X2,X0,X1] :
( edge(sK12(X2,X1,X0))
| ~ sP2(X2,X1,X0)
| sequential(X0,X1) ),
inference(resolution,[],[f122,f105]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ sP2(X2,X1,X0)
| edge(X0) ),
inference(subsumption_resolution,[],[f260,f104]) ).
fof(f260,plain,
! [X2,X0,X1] :
( sequential(X0,X1)
| ~ sP2(X2,X1,X0)
| edge(X0) ),
inference(resolution,[],[f122,f104]) ).
fof(f122,plain,
! [X2,X0,X1] :
( sequential(X2,sK12(X0,X1,X2))
| sequential(X2,X1)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f257,plain,
~ precedes(sK7,sK6,sK8),
inference(resolution,[],[f256,f97]) ).
fof(f256,plain,
! [X0,X1] :
( ~ precedes(X1,X0,sK8)
| ~ precedes(X0,X1,sK8) ),
inference(resolution,[],[f151,f96]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4)
| ~ precedes(X3,X2,X4) ),
inference(cnf_transformation,[],[f60]) ).
fof(f254,plain,
! [X0] :
( vertex(head_of(sK16(sK8,X0)))
| ~ in_path(X0,sK8) ),
inference(resolution,[],[f252,f192]) ).
fof(f253,plain,
! [X0] :
( vertex(tail_of(sK16(sK8,X0)))
| ~ in_path(X0,sK8) ),
inference(resolution,[],[f252,f196]) ).
fof(f255,plain,
! [X0] :
( edge(sK16(sK8,X0))
| ~ in_path(X0,sK8) ),
inference(resolution,[],[f252,f168]) ).
fof(f252,plain,
! [X0] :
( on_path(sK16(sK8,X0),sK8)
| ~ in_path(X0,sK8) ),
inference(resolution,[],[f145,f164]) ).
fof(f145,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ in_path(X3,X2)
| on_path(sK16(X2,X3),X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ( ( tail_of(sK16(X2,X3)) = X3
| head_of(sK16(X2,X3)) = X3 )
& on_path(sK16(X2,X3),X2)
& vertex(X3) )
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f56,f94]) ).
fof(f94,plain,
! [X2,X3] :
( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
=> ( ( tail_of(sK16(X2,X3)) = X3
| head_of(sK16(X2,X3)) = X3 )
& on_path(sK16(X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
& vertex(X3) )
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
& vertex(X3) )
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( ( in_path(X3,X2)
& path(X0,X1,X2) )
=> ( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
& vertex(X3) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X3,X5] :
( ( in_path(X5,X3)
& path(X1,X2,X3) )
=> ( ? [X0] :
( ( tail_of(X0) = X5
| head_of(X0) = X5 )
& on_path(X0,X3) )
& vertex(X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in_path_properties) ).
fof(f250,plain,
( sP2(sK8,sK7,sK6)
| ~ spl17_11 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl17_11
<=> sP2(sK8,sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_11])]) ).
fof(f246,plain,
! [X0,X1] :
( sP2(sK8,sK7,sK6)
| ~ path(X0,X1,sK8) ),
inference(resolution,[],[f127,f97]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X4,X0)
| sP2(X0,X4,X3)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( sP2(X0,X4,X3)
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ precedes(X3,X4,X0) )
| ~ path(X1,X2,X0) ),
inference(definition_folding,[],[f45,f64]) ).
fof(f45,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,[],[f27]) ).
fof(f27,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/sandbox/benchmark/theBenchmark.p',precedes_properties) ).
fof(f245,plain,
number_of_in(sequential_pairs,sK8) = minus(length_of(sK8),n1),
inference(resolution,[],[f110,f164]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ path(X0,X1,X2)
| number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X2) = minus(length_of(X2),n1)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,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/benchmark/theBenchmark.p',path_length_sequential_pairs) ).
fof(f221,plain,
( sK4 != head_of(sK10(sK5,sK8,sK4))
| ~ edge(sK10(sK5,sK8,sK4)) ),
inference(superposition,[],[f100,f219]) ).
fof(f220,plain,
( in_path(sK4,sK8)
| ~ on_path(sK10(sK5,sK8,sK4),sK8) ),
inference(superposition,[],[f195,f219]) ).
fof(f219,plain,
sK4 = tail_of(sK10(sK5,sK8,sK4)),
inference(resolution,[],[f171,f164]) ).
fof(f171,plain,
! [X2,X0,X1] :
( ~ path(X2,X0,X1)
| tail_of(sK10(X0,X1,X2)) = X2 ),
inference(resolution,[],[f112,f121]) ).
fof(f196,plain,
! [X0] :
( ~ on_path(X0,sK8)
| vertex(tail_of(X0)) ),
inference(resolution,[],[f195,f167]) ).
fof(f98,plain,
( head_of(sK6) = head_of(sK7)
| head_of(sK7) = tail_of(sK6)
| tail_of(sK6) = tail_of(sK9) ),
inference(cnf_transformation,[],[f70]) ).
fof(f195,plain,
! [X0] :
( in_path(tail_of(X0),sK8)
| ~ on_path(X0,sK8) ),
inference(resolution,[],[f149,f164]) ).
fof(f149,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ on_path(X3,X2)
| in_path(tail_of(X3),X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ( in_path(tail_of(X3),X2)
& in_path(head_of(X3),X2)
& edge(X3) )
| ~ on_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(flattening,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( ( in_path(tail_of(X3),X2)
& in_path(head_of(X3),X2)
& edge(X3) )
| ~ on_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ( on_path(X3,X2)
& path(X0,X1,X2) )
=> ( in_path(tail_of(X3),X2)
& in_path(head_of(X3),X2)
& edge(X3) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X3,X0] :
( ( on_path(X0,X3)
& path(X1,X2,X3) )
=> ( in_path(tail_of(X0),X3)
& in_path(head_of(X0),X3)
& edge(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',on_path_properties) ).
fof(f192,plain,
! [X0] :
( ~ on_path(X0,sK8)
| vertex(head_of(X0)) ),
inference(resolution,[],[f183,f167]) ).
fof(f183,plain,
! [X0] :
( in_path(head_of(X0),sK8)
| ~ on_path(X0,sK8) ),
inference(resolution,[],[f148,f164]) ).
fof(f182,plain,
! [X0,X1] :
( on_path(sK7,sK8)
| ~ path(X0,X1,sK8) ),
inference(resolution,[],[f126,f97]) ).
fof(f148,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ on_path(X3,X2)
| in_path(head_of(X3),X2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X4,X0)
| on_path(X4,X0)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f172,plain,
! [X0,X1] :
( on_path(sK6,sK8)
| ~ path(X0,X1,sK8) ),
inference(resolution,[],[f125,f97]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X4,X0)
| on_path(X3,X0)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f113,plain,
! [X2,X0,X1] :
( sP0(X1,sK10(X0,X1,X2),X0)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( sP0(X1,sK10(X0,X1,X2),X0)
& tail_of(sK10(X0,X1,X2)) = X2
& edge(sK10(X0,X1,X2)) )
| ~ sP1(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP0(X1,X3,X0)
& tail_of(X3) = X2
& edge(X3) )
=> ( sP0(X1,sK10(X0,X1,X2),X0)
& tail_of(sK10(X0,X1,X2)) = X2
& edge(sK10(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ? [X3] :
( sP0(X1,X3,X0)
& tail_of(X3) = X2
& edge(X3) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X2,X0] :
( ? [X3] :
( sP0(X2,X3,X1)
& tail_of(X3) = X0
& edge(X3) )
| ~ sP1(X1,X2,X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X2,X0] :
( ? [X3] :
( sP0(X2,X3,X1)
& tail_of(X3) = X0
& edge(X3) )
| ~ sP1(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| tail_of(sK10(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f76]) ).
fof(f170,plain,
less_or_equal(length_of(sK8),number_of_in(edges,graph)),
inference(superposition,[],[f103,f169]) ).
fof(f169,plain,
length_of(sK8) = number_of_in(edges,sK8),
inference(resolution,[],[f109,f164]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ path(X0,X1,X2)
| length_of(X2) = number_of_in(edges,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( length_of(X2) = number_of_in(edges,X2)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( path(X0,X1,X2)
=> length_of(X2) = number_of_in(edges,X2) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X2,X3] :
( path(X1,X2,X3)
=> length_of(X3) = number_of_in(edges,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',length_defn) ).
fof(f168,plain,
! [X0] :
( ~ on_path(X0,sK8)
| edge(X0) ),
inference(resolution,[],[f147,f164]) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ on_path(X3,X2)
| edge(X3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f167,plain,
! [X0] :
( ~ in_path(X0,sK8)
| vertex(X0) ),
inference(resolution,[],[f144,f164]) ).
fof(f144,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ in_path(X3,X2)
| vertex(X3) ),
inference(cnf_transformation,[],[f95]) ).
fof(f111,plain,
! [X2,X0,X1] :
( edge(sK10(X0,X1,X2))
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f166,plain,
vertex(sK4),
inference(resolution,[],[f164,f119]) ).
fof(f165,plain,
vertex(sK5),
inference(resolution,[],[f164,f120]) ).
fof(f164,plain,
path(sK4,sK5,sK8),
inference(resolution,[],[f162,f96]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X1,X2)
| path(X0,X1,X2) ),
inference(resolution,[],[f142,f137]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ sP3(X2,X1,X0)
| shortest_path(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ~ sP3(X2,X1,X0) )
& ( sP3(X2,X1,X0)
| ~ shortest_path(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> sP3(X2,X1,X0) ),
inference(definition_folding,[],[f54,f66]) ).
fof(f54,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,[],[f32]) ).
fof(f32,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/benchmark/theBenchmark.p',shortest_path_defn) ).
fof(f161,plain,
! [X0,X1] : ~ shortest_path(X0,X0,X1),
inference(resolution,[],[f142,f160]) ).
fof(f142,plain,
! [X2,X0,X1] :
( sP3(X2,X1,X0)
| ~ shortest_path(X0,X1,X2) ),
inference(cnf_transformation,[],[f93]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| path(X2,X1,X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f121,plain,
! [X2,X0,X1] :
( sP1(X1,X2,X0)
| ~ path(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( sP1(X1,X2,X0)
& vertex(X1)
& vertex(X0) )
| ~ path(X0,X1,X2) ),
inference(definition_folding,[],[f44,f62,f61]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( ( ( path_cons(X3,empty) = X2
& head_of(X3) = X1 )
<~> ? [X4] :
( path_cons(X3,X4) = X2
& path(head_of(X3),X1,X4) ) )
& tail_of(X3) = X0
& edge(X3) )
& vertex(X1)
& vertex(X0) )
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( path(X0,X1,X2)
=> ( ? [X3] :
( ( ( path_cons(X3,empty) = X2
& head_of(X3) = X1 )
<~> ? [X4] :
( path_cons(X3,X4) = X2
& path(head_of(X3),X1,X4) ) )
& tail_of(X3) = X0
& edge(X3) )
& vertex(X1)
& vertex(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X3] :
( path(X1,X2,X3)
=> ( ? [X0] :
( ( ( path_cons(X0,empty) = X3
& head_of(X0) = X2 )
<~> ? [X4] :
( path_cons(X0,X4) = X3
& path(head_of(X0),X2,X4) ) )
& tail_of(X0) = X1
& edge(X0) )
& vertex(X2)
& vertex(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',path_properties) ).
fof(f107,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| head_of(X0) = tail_of(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f103,plain,
! [X0,X1] : less_or_equal(number_of_in(X0,X1),number_of_in(X0,graph)),
inference(cnf_transformation,[],[f22]) ).
fof(f22,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/sandbox/benchmark/theBenchmark.p',graph_has_them_all) ).
fof(f100,plain,
! [X0] :
( head_of(X0) != tail_of(X0)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,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/benchmark/theBenchmark.p',no_loops) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ path(X0,X1,X2)
| vertex(X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ path(X0,X1,X2)
| vertex(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f105,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f104,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f102,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/benchmark/theBenchmark.p',edge_ends_are_vertices) ).
fof(f101,plain,
! [X0] :
( vertex(head_of(X0))
| ~ edge(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f160,plain,
! [X2,X0] : ~ sP3(X0,X2,X2),
inference(equality_resolution,[],[f138]) ).
fof(f138,plain,
! [X2,X0,X1] :
( X1 != X2
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f92]) ).
fof(f152,plain,
! [X1] : ~ sequential(X1,X1),
inference(equality_resolution,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
| ~ sequential(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| head_of(sK16(X2,X3)) = X3
| ~ in_path(X3,X2)
| tail_of(sK16(X2,X3)) = X3 ),
inference(cnf_transformation,[],[f95]) ).
fof(f136,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ edge(X2)
| ~ edge(X1)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,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,[],[f52]) ).
fof(f52,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,[],[f36]) ).
fof(f36,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,[],[f31]) ).
fof(f31,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/benchmark/theBenchmark.p',triangle_defn) ).
fof(f159,plain,
! [X3] :
( path(tail_of(X3),head_of(X3),path_cons(X3,empty))
| ~ edge(X3)
| ~ vertex(head_of(X3))
| ~ vertex(tail_of(X3)) ),
inference(equality_resolution,[],[f158]) ).
fof(f158,plain,
! [X3,X0] :
( path(X0,head_of(X3),path_cons(X3,empty))
| tail_of(X3) != X0
| ~ edge(X3)
| ~ vertex(head_of(X3))
| ~ vertex(X0) ),
inference(equality_resolution,[],[f157]) ).
fof(f157,plain,
! [X3,X0,X1] :
( path(X0,X1,path_cons(X3,empty))
| head_of(X3) != X1
| tail_of(X3) != X0
| ~ edge(X3)
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1] :
( path(X0,X1,X2)
| path_cons(X3,empty) != X2
| head_of(X3) != X1
| tail_of(X3) != X0
| ~ edge(X3)
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X2] :
( path(X0,X1,X2)
| ! [X3] :
( ( ! [X4] :
( path_cons(X3,X4) != X2
| ~ path(head_of(X3),X1,X4) )
& ( path_cons(X3,empty) != X2
| head_of(X3) != X1 ) )
| tail_of(X3) != X0
| ~ edge(X3) )
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( path(X0,X1,X2)
| ! [X3] :
( ( ! [X4] :
( path_cons(X3,X4) != X2
| ~ path(head_of(X3),X1,X4) )
& ( path_cons(X3,empty) != X2
| head_of(X3) != X1 ) )
| tail_of(X3) != X0
| ~ edge(X3) )
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( ( ? [X4] :
( path_cons(X3,X4) = X2
& path(head_of(X3),X1,X4) )
| ( path_cons(X3,empty) = X2
& head_of(X3) = X1 ) )
& tail_of(X3) = X0
& edge(X3) )
& vertex(X1)
& vertex(X0) )
=> path(X0,X1,X2) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X3] :
( ( ? [X0] :
( ( ? [X4] :
( path_cons(X0,X4) = X3
& path(head_of(X0),X2,X4) )
| ( path_cons(X0,empty) = X3
& head_of(X0) = X2 ) )
& tail_of(X0) = X1
& edge(X0) )
& vertex(X2)
& vertex(X1) )
=> path(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',path_defn) ).
fof(f156,plain,
! [X3,X1,X4] :
( path(tail_of(X3),X1,path_cons(X3,X4))
| ~ path(head_of(X3),X1,X4)
| ~ edge(X3)
| ~ vertex(X1)
| ~ vertex(tail_of(X3)) ),
inference(equality_resolution,[],[f155]) ).
fof(f155,plain,
! [X3,X0,X1,X4] :
( path(X0,X1,path_cons(X3,X4))
| ~ path(head_of(X3),X1,X4)
| tail_of(X3) != X0
| ~ edge(X3)
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X3,X0,X1,X4] :
( path(X0,X1,X2)
| path_cons(X3,X4) != X2
| ~ path(head_of(X3),X1,X4)
| tail_of(X3) != X0
| ~ edge(X3)
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4,X5] :
( precedes(X3,X4,X0)
| ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5)
| ~ on_path(X4,X0)
| ~ on_path(X3,X0)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f154,plain,
! [X3,X1] :
( ~ path(head_of(X1),head_of(X1),X3)
| path_cons(X1,X3) != path_cons(X1,empty)
| ~ sP0(path_cons(X1,X3),X1,head_of(X1)) ),
inference(equality_resolution,[],[f153]) ).
fof(f153,plain,
! [X2,X3,X1] :
( ~ path(head_of(X1),X2,X3)
| path_cons(X1,X3) != path_cons(X1,empty)
| head_of(X1) != X2
| ~ sP0(path_cons(X1,X3),X1,X2) ),
inference(equality_resolution,[],[f118]) ).
fof(f118,plain,
! [X2,X3,X0,X1] :
( path_cons(X1,X3) != X0
| ~ path(head_of(X1),X2,X3)
| path_cons(X1,empty) != X0
| head_of(X1) != X2
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f203,plain,
( head_of(sK7) != tail_of(sK6)
| spl17_5 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f202,plain,
( spl17_5
<=> head_of(sK7) = tail_of(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f840,plain,
( ~ spl17_6
| ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f839]) ).
fof(f839,plain,
( $false
| ~ spl17_6
| ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(global_subsumption,[],[f208,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f196,f171,f219,f220,f221,f110,f245,f127,f246,f250,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f269,f265,f108,f132,f330,f133,f258,f343,f344,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f345,f351,f346,f116,f399,f276,f401,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f830,f342,f273]) ).
fof(f838,plain,
( ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f837]) ).
fof(f837,plain,
( $false
| ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f196,f171,f219,f220,f221,f110,f245,f127,f246,f250,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f269,f265,f108,f132,f330,f133,f258,f343,f344,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f345,f351,f346,f116,f399,f276,f401,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f830,f342,f273]) ).
fof(f836,plain,
( ~ spl17_11
| spl17_12
| ~ spl17_13
| ~ spl17_24 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f835,plain,
( $false
| ~ spl17_11
| spl17_12
| ~ spl17_13
| ~ spl17_24 ),
inference(global_subsumption,[],[f378,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f196,f171,f219,f220,f221,f110,f245,f127,f246,f250,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f269,f273,f265,f108,f132,f330,f133,f258,f343,f344,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f345,f351,f346,f116,f399,f276,f401,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f830,f342]) ).
fof(f378,plain,
( edge(sK12(sK8,sK7,sK6))
| ~ spl17_24 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl17_24
<=> edge(sK12(sK8,sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_24])]) ).
fof(f834,plain,
( ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f833,plain,
( $false
| ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f196,f171,f219,f220,f221,f110,f245,f127,f246,f250,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f269,f273,f265,f108,f132,f330,f133,f258,f343,f344,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f345,f351,f346,f116,f399,f276,f401,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f830,f342]) ).
fof(f832,plain,
( ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(avatar_contradiction_clause,[],[f831]) ).
fof(f831,plain,
( $false
| ~ spl17_11
| spl17_12
| ~ spl17_13 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f196,f171,f219,f220,f221,f110,f245,f127,f246,f250,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f269,f273,f265,f108,f132,f330,f133,f258,f343,f344,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f345,f351,f346,f342,f116,f399,f276,f401,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f830]) ).
fof(f829,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f828]) ).
fof(f828,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f550,f557,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f292,f802,f798,f99,f551]) ).
fof(f551,plain,
( length_of(path_cons(sK7,empty)) = number_of_in(edges,path_cons(sK7,empty))
| ~ spl17_3 ),
inference(resolution,[],[f425,f191]) ).
fof(f798,plain,
( ~ sequential(sK7,sK6)
| ~ spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f797,f179]) ).
fof(f797,plain,
( ~ sequential(sK7,sK6)
| ~ on_path(sK6,sK8)
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f542,f187]) ).
fof(f542,plain,
( ~ on_path(sK7,sK8)
| ~ sequential(sK7,sK6)
| ~ on_path(sK6,sK8) ),
inference(resolution,[],[f531,f97]) ).
fof(f802,plain,
( ~ sequential(sK7,sK6)
| ~ spl17_2
| ~ spl17_3 ),
inference(subsumption_resolution,[],[f801,f187]) ).
fof(f801,plain,
( ~ on_path(sK7,sK8)
| ~ sequential(sK7,sK6)
| ~ spl17_2 ),
inference(subsumption_resolution,[],[f537,f179]) ).
fof(f537,plain,
( ~ on_path(sK6,sK8)
| ~ on_path(sK7,sK8)
| ~ sequential(sK7,sK6) ),
inference(resolution,[],[f524,f257]) ).
fof(f292,plain,
( sequential(sK7,sK6)
| ~ spl17_15 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f290,plain,
( spl17_15
<=> sequential(sK7,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_15])]) ).
fof(f557,plain,
( less_or_equal(length_of(path_cons(sK6,empty)),number_of_in(edges,graph))
| ~ spl17_2 ),
inference(superposition,[],[f103,f550]) ).
fof(f550,plain,
( length_of(path_cons(sK6,empty)) = number_of_in(edges,path_cons(sK6,empty))
| ~ spl17_2 ),
inference(resolution,[],[f425,f181]) ).
fof(f216,plain,
( vertex(tail_of(sK6))
| ~ spl17_2 ),
inference(resolution,[],[f196,f179]) ).
fof(f217,plain,
( vertex(tail_of(sK7))
| ~ spl17_3 ),
inference(resolution,[],[f196,f187]) ).
fof(f194,plain,
( vertex(head_of(sK7))
| ~ spl17_3 ),
inference(resolution,[],[f192,f187]) ).
fof(f193,plain,
( vertex(head_of(sK6))
| ~ spl17_2 ),
inference(resolution,[],[f192,f179]) ).
fof(f191,plain,
( edge(sK7)
| ~ spl17_3 ),
inference(resolution,[],[f187,f168]) ).
fof(f187,plain,
( on_path(sK7,sK8)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl17_3
<=> on_path(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f181,plain,
( edge(sK6)
| ~ spl17_2 ),
inference(resolution,[],[f179,f168]) ).
fof(f179,plain,
( on_path(sK6,sK8)
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl17_2
<=> on_path(sK6,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f827,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_15
| spl17_27 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_15
| spl17_27 ),
inference(global_subsumption,[],[f825,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f550,f557,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f292,f802,f798,f99]) ).
fof(f825,plain,
( ~ on_path(sK7,path_cons(sK7,empty))
| ~ spl17_3
| spl17_27 ),
inference(subsumption_resolution,[],[f568,f191]) ).
fof(f568,plain,
( ~ on_path(sK7,path_cons(sK7,empty))
| ~ edge(sK7)
| spl17_27 ),
inference(resolution,[],[f435,f484]) ).
fof(f484,plain,
( ~ in_path(head_of(sK7),path_cons(sK7,empty))
| spl17_27 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl17_27
<=> in_path(head_of(sK7),path_cons(sK7,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_27])]) ).
fof(f824,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f823]) ).
fof(f823,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f550,f557,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f292,f802,f798,f99]) ).
fof(f822,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f821]) ).
fof(f821,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f550,f557,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f292,f802,f798]) ).
fof(f820,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f819]) ).
fof(f819,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f550,f557,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f798,f292,f802]) ).
fof(f818,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f817]) ).
fof(f817,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_15 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f550,f557,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f99,f798,f802,f292]) ).
fof(f816,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f815]) ).
fof(f815,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f786,f287,f99,f792,f794,f798,f802,f214,f213,f204]) ).
fof(f204,plain,
( head_of(sK7) = tail_of(sK6)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f202]) ).
fof(f213,plain,
( in_path(head_of(sK7),sK8)
| ~ spl17_2
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f210,f179]) ).
fof(f210,plain,
( in_path(head_of(sK7),sK8)
| ~ on_path(sK6,sK8)
| ~ spl17_5 ),
inference(superposition,[],[f195,f204]) ).
fof(f214,plain,
( head_of(sK6) != head_of(sK7)
| ~ spl17_2
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f211,f181]) ).
fof(f211,plain,
( head_of(sK6) != head_of(sK7)
| ~ edge(sK6)
| ~ spl17_5 ),
inference(superposition,[],[f100,f204]) ).
fof(f794,plain,
( ~ sequential(sK7,sK6)
| ~ spl17_2
| ~ spl17_3
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f793,f187]) ).
fof(f793,plain,
( ~ sequential(sK7,sK6)
| ~ on_path(sK7,sK8)
| ~ spl17_2
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f548,f179]) ).
fof(f548,plain,
( ~ sequential(sK7,sK6)
| ~ on_path(sK6,sK8)
| ~ on_path(sK7,sK8)
| ~ spl17_12 ),
inference(resolution,[],[f545,f272]) ).
fof(f792,plain,
( head_of(sK7) = tail_of(sK6)
| ~ spl17_5 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f196,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f204,f99]) ).
fof(f287,plain,
( sK6 != sK7
| spl17_14 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f286,plain,
( spl17_14
<=> sK6 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_14])]) ).
fof(f786,plain,
( head_of(sK6) != head_of(sK7)
| ~ spl17_3
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f396,f191]) ).
fof(f396,plain,
( head_of(sK6) != head_of(sK7)
| ~ edge(sK7)
| ~ spl17_12 ),
inference(superposition,[],[f100,f390]) ).
fof(f655,plain,
( ! [X2,X3,X0,X1,X4] :
( tail_of(X0) != head_of(sK6)
| head_of(sK7) != head_of(X1)
| ~ precedes(X0,X1,X2)
| ~ shortest_path(X3,X4,X2) )
| ~ spl17_12 ),
inference(superposition,[],[f150,f390]) ).
fof(f652,plain,
( ! [X2,X3,X0,X1,X4] :
( tail_of(X0) != head_of(sK6)
| head_of(X1) != head_of(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)))
| ~ precedes(X0,X1,X2)
| ~ shortest_path(X3,X4,X2) )
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f150,f456]) ).
fof(f650,plain,
( ! [X2,X3,X0,X1,X4] :
( tail_of(X0) != head_of(sK6)
| head_of(X0) != head_of(X1)
| ~ precedes(sK7,X1,X2)
| ~ shortest_path(X3,X4,X2) )
| ~ spl17_12 ),
inference(superposition,[],[f150,f390]) ).
fof(f647,plain,
( ! [X2,X3,X0,X1,X4] :
( tail_of(X0) != head_of(sK6)
| head_of(X0) != head_of(X1)
| ~ precedes(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)),X1,X2)
| ~ shortest_path(X3,X4,X2) )
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f150,f456]) ).
fof(f588,plain,
( ! [X0] :
( in_path(head_of(sK6),path_cons(X0,empty))
| ~ on_path(sK7,path_cons(X0,empty))
| ~ edge(X0) )
| ~ spl17_12 ),
inference(superposition,[],[f436,f390]) ).
fof(f585,plain,
( ! [X0] :
( in_path(head_of(sK6),path_cons(X0,empty))
| ~ on_path(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)),path_cons(X0,empty))
| ~ edge(X0) )
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f436,f456]) ).
fof(f556,plain,
( ! [X0] :
( length_of(path_cons(sK16(path_cons(sK7,empty),X0),empty)) = number_of_in(edges,path_cons(sK16(path_cons(sK7,empty),X0),empty))
| ~ in_path(X0,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f425,f521]) ).
fof(f520,plain,
( ! [X0] :
( vertex(head_of(sK16(path_cons(sK7,empty),X0)))
| ~ in_path(X0,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f452,f458]) ).
fof(f529,plain,
( ! [X0,X1] :
( ~ sequential(X0,X1)
| ~ on_path(X1,path_cons(sK7,empty))
| ~ on_path(X0,path_cons(sK7,empty))
| precedes(X0,X1,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f128,f443]) ).
fof(f519,plain,
( ! [X0] :
( vertex(tail_of(sK16(path_cons(sK7,empty),X0)))
| ~ in_path(X0,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f452,f460]) ).
fof(f521,plain,
( ! [X0] :
( edge(sK16(path_cons(sK7,empty),X0))
| ~ in_path(X0,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f452,f453]) ).
fof(f523,plain,
( ! [X0] :
( ~ in_path(X0,path_cons(sK7,empty))
| edge(sK16(path_cons(sK7,empty),X0)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f522,f191]) ).
fof(f522,plain,
( ! [X0] :
( ~ in_path(X0,path_cons(sK7,empty))
| ~ edge(sK7)
| edge(sK16(path_cons(sK7,empty),X0)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f452,f434]) ).
fof(f452,plain,
( ! [X0] :
( on_path(sK16(path_cons(sK7,empty),X0),path_cons(sK7,empty))
| ~ in_path(X0,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f145]) ).
fof(f461,plain,
( in_path(sK4,path_cons(sK7,empty))
| ~ on_path(sK10(sK5,sK8,sK4),path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f455,f219]) ).
fof(f494,plain,
( head_of(sK6) != head_of(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)))
| ~ edge(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)))
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f100,f456]) ).
fof(f492,plain,
( ! [X0] :
( head_of(X0) != head_of(sK6)
| sequential(X0,sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)))
| sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)) = X0
| ~ edge(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)))
| ~ edge(X0) )
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f108,f456]) ).
fof(f491,plain,
( path(head_of(sK6),head_of(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6))),path_cons(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)),empty))
| ~ edge(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)))
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f424,f456]) ).
fof(f490,plain,
( in_path(head_of(sK6),path_cons(sK7,empty))
| ~ on_path(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)),path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f455,f456]) ).
fof(f456,plain,
( head_of(sK6) = tail_of(sK10(head_of(sK7),path_cons(sK7,empty),head_of(sK6)))
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f171]) ).
fof(f445,plain,
( number_of_in(sequential_pairs,path_cons(sK7,empty)) = minus(length_of(path_cons(sK7,empty)),n1)
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f110]) ).
fof(f460,plain,
( ! [X0] :
( ~ on_path(X0,path_cons(sK7,empty))
| vertex(tail_of(X0)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f455,f451]) ).
fof(f463,plain,
( in_path(head_of(sK6),path_cons(sK7,empty))
| ~ on_path(sK7,path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f455,f390]) ).
fof(f455,plain,
( ! [X0] :
( in_path(tail_of(X0),path_cons(sK7,empty))
| ~ on_path(X0,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f149]) ).
fof(f458,plain,
( ! [X0] :
( ~ on_path(X0,path_cons(sK7,empty))
| vertex(head_of(X0)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f454,f451]) ).
fof(f454,plain,
( ! [X0] :
( in_path(head_of(X0),path_cons(sK7,empty))
| ~ on_path(X0,path_cons(sK7,empty)) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f148]) ).
fof(f457,plain,
( less_or_equal(length_of(path_cons(sK7,empty)),number_of_in(edges,graph))
| ~ spl17_3
| ~ spl17_12 ),
inference(superposition,[],[f103,f444]) ).
fof(f444,plain,
( length_of(path_cons(sK7,empty)) = number_of_in(edges,path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f109]) ).
fof(f453,plain,
( ! [X0] :
( ~ on_path(X0,path_cons(sK7,empty))
| edge(X0) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f147]) ).
fof(f451,plain,
( ! [X0] :
( ~ in_path(X0,path_cons(sK7,empty))
| vertex(X0) )
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f144]) ).
fof(f450,plain,
( sequential(sK13(path_cons(sK7,empty)),sK14(path_cons(sK7,empty)))
| number_of_in(sequential_pairs,path_cons(sK7,empty)) = number_of_in(triangles,path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f134]) ).
fof(f449,plain,
( on_path(sK14(path_cons(sK7,empty)),path_cons(sK7,empty))
| number_of_in(sequential_pairs,path_cons(sK7,empty)) = number_of_in(triangles,path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f133]) ).
fof(f448,plain,
( on_path(sK13(path_cons(sK7,empty)),path_cons(sK7,empty))
| number_of_in(sequential_pairs,path_cons(sK7,empty)) = number_of_in(triangles,path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(resolution,[],[f443,f132]) ).
fof(f443,plain,
( path(head_of(sK6),head_of(sK7),path_cons(sK7,empty))
| ~ spl17_3
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f440,f191]) ).
fof(f440,plain,
( path(head_of(sK6),head_of(sK7),path_cons(sK7,empty))
| ~ edge(sK7)
| ~ spl17_12 ),
inference(superposition,[],[f424,f390]) ).
fof(f398,plain,
( ! [X0] :
( head_of(X0) != head_of(sK6)
| sequential(X0,sK7)
| sK7 = X0
| ~ edge(X0) )
| ~ spl17_3
| ~ spl17_12 ),
inference(subsumption_resolution,[],[f394,f191]) ).
fof(f394,plain,
( ! [X0] :
( head_of(X0) != head_of(sK6)
| sequential(X0,sK7)
| sK7 = X0
| ~ edge(sK7)
| ~ edge(X0) )
| ~ spl17_12 ),
inference(superposition,[],[f108,f390]) ).
fof(f390,plain,
( head_of(sK6) = tail_of(sK7)
| ~ spl17_12 ),
inference(resolution,[],[f272,f107]) ).
fof(f272,plain,
( sequential(sK6,sK7)
| ~ spl17_12 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f284,plain,
( sequential(sK7,sK6)
| sK6 = sK7
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f283,f191]) ).
fof(f283,plain,
( sequential(sK7,sK6)
| sK6 = sK7
| ~ edge(sK7)
| ~ spl17_2
| ~ spl17_5 ),
inference(equality_resolution,[],[f281]) ).
fof(f281,plain,
( ! [X0] :
( head_of(X0) != head_of(sK7)
| sequential(X0,sK6)
| sK6 = X0
| ~ edge(X0) )
| ~ spl17_2
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f279,f181]) ).
fof(f279,plain,
( ! [X0] :
( head_of(X0) != head_of(sK7)
| sequential(X0,sK6)
| sK6 = X0
| ~ edge(sK6)
| ~ edge(X0) )
| ~ spl17_5 ),
inference(superposition,[],[f108,f204]) ).
fof(f814,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f813]) ).
fof(f813,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f204,f786,f287,f99,f792,f794,f798,f802,f214,f213]) ).
fof(f812,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f811]) ).
fof(f811,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f213,f204,f786,f287,f99,f792,f794,f798,f802,f214]) ).
fof(f810,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| spl17_6
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f809]) ).
fof(f809,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| spl17_6
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f730,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f214,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f213,f204,f786,f287,f99,f792,f794,f798,f802]) ).
fof(f730,plain,
( head_of(sK7) = tail_of(sK6)
| ~ spl17_5
| spl17_6 ),
inference(global_subsumption,[],[f294,f99,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f183,f192,f149,f195,f98,f204,f196,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f116,f399,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f432,f434,f117,f496,f128,f526,f527,f530,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f466,f558,f135,f435,f573,f436,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f584,f532,f150,f646,f651,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705]) ).
fof(f294,plain,
( head_of(sK7) = tail_of(sK6)
| head_of(sK7) = head_of(sK9)
| spl17_6 ),
inference(subsumption_resolution,[],[f99,f207]) ).
fof(f207,plain,
( head_of(sK6) != head_of(sK7)
| spl17_6 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f808,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| spl17_6
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f807]) ).
fof(f807,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| spl17_6
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f207,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f214,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f213,f204,f786,f287,f99,f792,f794,f798,f802]) ).
fof(f806,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14
| ~ spl17_15 ),
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14
| ~ spl17_15 ),
inference(global_subsumption,[],[f292,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f214,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f213,f204,f786,f287,f99,f792,f794,f798,f802]) ).
fof(f804,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f803]) ).
fof(f803,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f214,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f213,f204,f786,f287,f99,f792,f794,f798,f802]) ).
fof(f800,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f214,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f213,f204,f786,f287,f99,f792,f794,f798]) ).
fof(f796,plain,
( ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(avatar_contradiction_clause,[],[f795]) ).
fof(f795,plain,
( $false
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5
| ~ spl17_12
| spl17_14 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f179,f181,f126,f148,f182,f187,f191,f183,f192,f193,f194,f149,f195,f98,f214,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f281,f284,f216,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f550,f557,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f213,f204,f786,f287,f99,f792,f794]) ).
fof(f791,plain,
( ~ spl17_3
| spl17_5
| ~ spl17_6
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f790]) ).
fof(f790,plain,
( $false
| ~ spl17_3
| spl17_5
| ~ spl17_6
| ~ spl17_12 ),
inference(global_subsumption,[],[f203,f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f187,f191,f183,f192,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f786,f99,f208]) ).
fof(f789,plain,
( ~ spl17_3
| ~ spl17_6
| ~ spl17_12 ),
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f788,plain,
( $false
| ~ spl17_3
| ~ spl17_6
| ~ spl17_12 ),
inference(global_subsumption,[],[f154,f129,f156,f159,f136,f146,f152,f96,f97,f160,f101,f102,f104,f105,f119,f120,f100,f103,f107,f121,f137,f142,f161,f143,f162,f164,f165,f166,f111,f144,f167,f147,f168,f109,f169,f170,f112,f113,f125,f172,f126,f148,f182,f187,f191,f183,f192,f194,f149,f195,f98,f196,f217,f171,f219,f220,f221,f110,f245,f127,f246,f145,f252,f255,f253,f254,f151,f256,f257,f122,f261,f259,f139,f123,f264,f266,f267,f263,f268,f124,f265,f108,f132,f330,f133,f258,f114,f348,f349,f352,f353,f354,f355,f356,f357,f358,f359,f351,f272,f390,f116,f399,f398,f350,f406,f375,f134,f421,f424,f426,f429,f430,f431,f433,f437,f443,f448,f449,f450,f451,f453,f444,f457,f454,f458,f455,f463,f115,f464,f465,f468,f469,f470,f471,f472,f473,f474,f475,f476,f460,f432,f434,f445,f456,f490,f491,f492,f494,f117,f496,f461,f452,f523,f521,f519,f128,f526,f527,f529,f530,f520,f524,f535,f531,f543,f545,f546,f467,f549,f425,f552,f554,f556,f466,f558,f135,f435,f573,f436,f585,f140,f595,f596,f599,f600,f601,f602,f603,f604,f605,f606,f607,f608,f589,f588,f584,f532,f150,f646,f647,f650,f651,f652,f655,f656,f660,f661,f555,f681,f683,f687,f691,f141,f705,f786,f99,f208]) ).
fof(f777,plain,
( ~ spl17_12
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f776]) ).
fof(f776,plain,
( $false
| ~ spl17_12
| ~ spl17_14 ),
inference(subsumption_resolution,[],[f739,f152]) ).
fof(f739,plain,
( sequential(sK6,sK6)
| ~ spl17_12
| ~ spl17_14 ),
inference(superposition,[],[f272,f288]) ).
fof(f288,plain,
( sK6 = sK7
| ~ spl17_14 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f775,plain,
~ spl17_14,
inference(avatar_contradiction_clause,[],[f774]) ).
fof(f774,plain,
( $false
| ~ spl17_14 ),
inference(subsumption_resolution,[],[f731,f661]) ).
fof(f731,plain,
( precedes(sK6,sK6,sK8)
| ~ spl17_14 ),
inference(superposition,[],[f97,f288]) ).
fof(f773,plain,
( spl17_6
| ~ spl17_14 ),
inference(avatar_contradiction_clause,[],[f772]) ).
fof(f772,plain,
( $false
| spl17_6
| ~ spl17_14 ),
inference(trivial_inequality_removal,[],[f735]) ).
fof(f735,plain,
( head_of(sK6) != head_of(sK6)
| spl17_6
| ~ spl17_14 ),
inference(superposition,[],[f207,f288]) ).
fof(f729,plain,
( ~ spl17_4
| spl17_5
| spl17_6 ),
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f728,plain,
( $false
| ~ spl17_4
| spl17_5
| spl17_6 ),
inference(subsumption_resolution,[],[f727,f97]) ).
fof(f727,plain,
( ~ precedes(sK6,sK7,sK8)
| ~ spl17_4
| spl17_5
| spl17_6 ),
inference(resolution,[],[f725,f96]) ).
fof(f725,plain,
( ! [X2,X0,X1] :
( ~ shortest_path(X1,X2,X0)
| ~ precedes(sK6,sK7,X0) )
| ~ spl17_4
| spl17_5
| spl17_6 ),
inference(equality_resolution,[],[f722]) ).
fof(f722,plain,
( ! [X2,X3,X0,X1] :
( head_of(X0) != head_of(sK7)
| ~ precedes(sK6,X0,X1)
| ~ shortest_path(X2,X3,X1) )
| ~ spl17_4
| spl17_5
| spl17_6 ),
inference(equality_resolution,[],[f657]) ).
fof(f657,plain,
( ! [X2,X3,X0,X1,X4] :
( tail_of(X0) != tail_of(sK6)
| head_of(sK7) != head_of(X1)
| ~ precedes(X0,X1,X2)
| ~ shortest_path(X3,X4,X2) )
| ~ spl17_4
| spl17_5
| spl17_6 ),
inference(forward_demodulation,[],[f654,f322]) ).
fof(f322,plain,
( head_of(sK7) = head_of(sK9)
| spl17_5
| spl17_6 ),
inference(subsumption_resolution,[],[f294,f203]) ).
fof(f654,plain,
( ! [X2,X3,X0,X1,X4] :
( tail_of(X0) != tail_of(sK6)
| head_of(sK9) != head_of(X1)
| ~ precedes(X0,X1,X2)
| ~ shortest_path(X3,X4,X2) )
| ~ spl17_4 ),
inference(superposition,[],[f150,f200]) ).
fof(f200,plain,
( tail_of(sK6) = tail_of(sK9)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f198,plain,
( spl17_4
<=> tail_of(sK6) = tail_of(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f700,plain,
( ~ spl17_31
| spl17_32
| spl17_5
| spl17_6
| ~ spl17_9 ),
inference(avatar_split_clause,[],[f645,f233,f206,f202,f697,f693]) ).
fof(f693,plain,
( spl17_31
<=> on_path(sK9,path_cons(sK10(sK5,sK8,sK4),empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f697,plain,
( spl17_32
<=> in_path(head_of(sK7),path_cons(sK10(sK5,sK8,sK4),empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
fof(f233,plain,
( spl17_9
<=> edge(sK10(sK5,sK8,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f645,plain,
( in_path(head_of(sK7),path_cons(sK10(sK5,sK8,sK4),empty))
| ~ on_path(sK9,path_cons(sK10(sK5,sK8,sK4),empty))
| spl17_5
| spl17_6
| ~ spl17_9 ),
inference(superposition,[],[f507,f322]) ).
fof(f507,plain,
( ! [X0] :
( in_path(head_of(X0),path_cons(sK10(sK5,sK8,sK4),empty))
| ~ on_path(X0,path_cons(sK10(sK5,sK8,sK4),empty)) )
| ~ spl17_9 ),
inference(resolution,[],[f442,f148]) ).
fof(f442,plain,
( path(sK4,head_of(sK10(sK5,sK8,sK4)),path_cons(sK10(sK5,sK8,sK4),empty))
| ~ spl17_9 ),
inference(subsumption_resolution,[],[f438,f234]) ).
fof(f234,plain,
( edge(sK10(sK5,sK8,sK4))
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f438,plain,
( path(sK4,head_of(sK10(sK5,sK8,sK4)),path_cons(sK10(sK5,sK8,sK4),empty))
| ~ edge(sK10(sK5,sK8,sK4)) ),
inference(superposition,[],[f424,f219]) ).
fof(f631,plain,
( spl17_1
| spl17_30 ),
inference(avatar_split_clause,[],[f532,f629,f174]) ).
fof(f174,plain,
( spl17_1
<=> ! [X0,X1] : ~ path(X0,X1,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f629,plain,
( spl17_30
<=> ! [X0,X1] :
( ~ on_path(X0,sK8)
| sP2(sK8,X0,X1)
| ~ on_path(X1,sK8)
| ~ sequential(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_30])]) ).
fof(f518,plain,
( ~ spl17_28
| spl17_29
| ~ spl17_3
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f461,f271,f185,f515,f511]) ).
fof(f511,plain,
( spl17_28
<=> on_path(sK10(sK5,sK8,sK4),path_cons(sK7,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_28])]) ).
fof(f515,plain,
( spl17_29
<=> in_path(sK4,path_cons(sK7,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_29])]) ).
fof(f486,plain,
( ~ spl17_26
| spl17_27
| ~ spl17_3
| spl17_5
| spl17_6
| ~ spl17_12 ),
inference(avatar_split_clause,[],[f459,f271,f206,f202,f185,f483,f479]) ).
fof(f479,plain,
( spl17_26
<=> on_path(sK9,path_cons(sK7,empty)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_26])]) ).
fof(f459,plain,
( in_path(head_of(sK7),path_cons(sK7,empty))
| ~ on_path(sK9,path_cons(sK7,empty))
| ~ spl17_3
| spl17_5
| spl17_6
| ~ spl17_12 ),
inference(superposition,[],[f454,f322]) ).
fof(f388,plain,
( ~ spl17_11
| spl17_12
| spl17_24 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f387,plain,
( $false
| ~ spl17_11
| spl17_12
| spl17_24 ),
inference(subsumption_resolution,[],[f386,f273]) ).
fof(f386,plain,
( sequential(sK6,sK7)
| ~ spl17_11
| spl17_24 ),
inference(subsumption_resolution,[],[f385,f250]) ).
fof(f385,plain,
( ~ sP2(sK8,sK7,sK6)
| sequential(sK6,sK7)
| spl17_24 ),
inference(resolution,[],[f379,f259]) ).
fof(f379,plain,
( ~ edge(sK12(sK8,sK7,sK6))
| spl17_24 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f384,plain,
( ~ spl17_24
| ~ spl17_25
| ~ spl17_11
| spl17_12 ),
inference(avatar_split_clause,[],[f346,f271,f248,f381,f377]) ).
fof(f381,plain,
( spl17_25
<=> head_of(sK6) = head_of(sK12(sK8,sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_25])]) ).
fof(f373,plain,
( ~ spl17_2
| spl17_23 ),
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f372,plain,
( $false
| ~ spl17_2
| spl17_23 ),
inference(subsumption_resolution,[],[f371,f179]) ).
fof(f371,plain,
( ~ on_path(sK6,sK8)
| spl17_23 ),
inference(resolution,[],[f368,f183]) ).
fof(f368,plain,
( ~ in_path(head_of(sK6),sK8)
| spl17_23 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f367,plain,
( spl17_23
<=> in_path(head_of(sK6),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f370,plain,
( ~ spl17_22
| spl17_23
| ~ spl17_11
| spl17_12 ),
inference(avatar_split_clause,[],[f345,f271,f248,f367,f363]) ).
fof(f363,plain,
( spl17_22
<=> on_path(sK12(sK8,sK7,sK6),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_22])]) ).
fof(f339,plain,
( spl17_20
| spl17_21 ),
inference(avatar_split_clause,[],[f330,f336,f332]) ).
fof(f332,plain,
( spl17_20
<=> number_of_in(sequential_pairs,sK8) = number_of_in(triangles,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_20])]) ).
fof(f336,plain,
( spl17_21
<=> on_path(sK13(sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_21])]) ).
fof(f320,plain,
( ~ spl17_2
| spl17_19 ),
inference(avatar_contradiction_clause,[],[f319]) ).
fof(f319,plain,
( $false
| ~ spl17_2
| spl17_19 ),
inference(subsumption_resolution,[],[f318,f179]) ).
fof(f318,plain,
( ~ on_path(sK6,sK8)
| spl17_19 ),
inference(resolution,[],[f315,f195]) ).
fof(f315,plain,
( ~ in_path(tail_of(sK6),sK8)
| spl17_19 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f314,plain,
( spl17_19
<=> in_path(tail_of(sK6),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_19])]) ).
fof(f317,plain,
( ~ spl17_18
| spl17_19
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f296,f198,f314,f310]) ).
fof(f310,plain,
( spl17_18
<=> on_path(sK9,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_18])]) ).
fof(f296,plain,
( in_path(tail_of(sK6),sK8)
| ~ on_path(sK9,sK8)
| ~ spl17_4 ),
inference(superposition,[],[f195,f200]) ).
fof(f308,plain,
( ~ spl17_16
| ~ spl17_17
| ~ spl17_4 ),
inference(avatar_split_clause,[],[f297,f198,f305,f301]) ).
fof(f301,plain,
( spl17_16
<=> edge(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f305,plain,
( spl17_17
<=> tail_of(sK6) = head_of(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f297,plain,
( tail_of(sK6) != head_of(sK9)
| ~ edge(sK9)
| ~ spl17_4 ),
inference(superposition,[],[f100,f200]) ).
fof(f293,plain,
( spl17_14
| spl17_15
| ~ spl17_2
| ~ spl17_3
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f284,f202,f185,f177,f290,f286]) ).
fof(f277,plain,
( ~ spl17_12
| spl17_13
| ~ spl17_11 ),
inference(avatar_split_clause,[],[f269,f248,f275,f271]) ).
fof(f251,plain,
( spl17_1
| spl17_11 ),
inference(avatar_split_clause,[],[f246,f248,f174]) ).
fof(f244,plain,
spl17_9,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| spl17_9 ),
inference(subsumption_resolution,[],[f242,f164]) ).
fof(f242,plain,
( ~ path(sK4,sK5,sK8)
| spl17_9 ),
inference(resolution,[],[f241,f121]) ).
fof(f241,plain,
( ~ sP1(sK5,sK8,sK4)
| spl17_9 ),
inference(resolution,[],[f235,f111]) ).
fof(f235,plain,
( ~ edge(sK10(sK5,sK8,sK4))
| spl17_9 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f240,plain,
( ~ spl17_9
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f221,f237,f233]) ).
fof(f237,plain,
( spl17_10
<=> sK4 = head_of(sK10(sK5,sK8,sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f231,plain,
( ~ spl17_7
| spl17_8 ),
inference(avatar_split_clause,[],[f220,f228,f224]) ).
fof(f224,plain,
( spl17_7
<=> on_path(sK10(sK5,sK8,sK4),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f228,plain,
( spl17_8
<=> in_path(sK4,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f209,plain,
( spl17_4
| spl17_5
| spl17_6 ),
inference(avatar_split_clause,[],[f98,f206,f202,f198]) ).
fof(f190,plain,
~ spl17_1,
inference(avatar_contradiction_clause,[],[f189]) ).
fof(f189,plain,
( $false
| ~ spl17_1 ),
inference(resolution,[],[f175,f164]) ).
fof(f175,plain,
( ! [X0,X1] : ~ path(X0,X1,sK8)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f188,plain,
( spl17_1
| spl17_3 ),
inference(avatar_split_clause,[],[f182,f185,f174]) ).
fof(f180,plain,
( spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f172,f177,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRA004+1 : TPTP v8.1.2. Bugfixed v3.2.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n017.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 : Fri May 3 18:25:53 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (20385)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (20388)WARNING: value z3 for option sas not known
% 0.14/0.32 % (20388)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (20389)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 % (20387)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 % (20386)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.32 % (20391)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.32 % (20390)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.32 % (20392)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [2]
% 0.14/0.33 TRYING [3]
% 0.14/0.33 TRYING [3]
% 0.14/0.35 TRYING [4]
% 0.14/0.35 TRYING [4]
% 0.14/0.35 % (20388)First to succeed.
% 0.14/0.36 % (20388)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20385"
% 0.14/0.36 % (20388)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Theorem for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (20388)------------------------------
% 0.14/0.36 % (20388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.36 % (20388)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (20388)Memory used [KB]: 1437
% 0.14/0.36 % (20388)Time elapsed: 0.043 s
% 0.14/0.36 % (20388)Instructions burned: 93 (million)
% 0.14/0.36 % (20385)Success in time 0.06 s
%------------------------------------------------------------------------------