TSTP Solution File: GRA008+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRA008+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:13:21 EDT 2022
% Result : Theorem 3.18s 0.85s
% Output : Refutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 36
% Syntax : Number of formulae : 205 ( 20 unt; 0 def)
% Number of atoms : 772 ( 166 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 923 ( 356 ~; 347 |; 154 &)
% ( 29 <=>; 28 =>; 0 <=; 9 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 22 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 347 ( 305 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2364,plain,
$false,
inference(avatar_sat_refutation,[],[f170,f183,f187,f192,f195,f199,f215,f266,f300,f589,f594,f627,f641,f846,f851,f852,f1057,f1777,f2273,f2313,f2330,f2363]) ).
fof(f2363,plain,
( ~ spl13_1
| spl13_5
| ~ spl13_10
| ~ spl13_41
| ~ spl13_43 ),
inference(avatar_contradiction_clause,[],[f2362]) ).
fof(f2362,plain,
( $false
| ~ spl13_1
| spl13_5
| ~ spl13_10
| ~ spl13_41
| ~ spl13_43 ),
inference(subsumption_resolution,[],[f2349,f286]) ).
fof(f286,plain,
( ~ sequential(sK8,sK10)
| ~ spl13_1
| spl13_5
| ~ spl13_10 ),
inference(subsumption_resolution,[],[f284,f182]) ).
fof(f182,plain,
( ~ precedes(sK8,sK10,sK9)
| spl13_5 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl13_5
<=> precedes(sK8,sK10,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f284,plain,
( ~ sequential(sK8,sK10)
| precedes(sK8,sK10,sK9)
| ~ spl13_1
| ~ spl13_10 ),
inference(resolution,[],[f214,f166]) ).
fof(f166,plain,
( on_path(sK8,sK9)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f164,plain,
( spl13_1
<=> on_path(sK8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f214,plain,
( ! [X2] :
( ~ on_path(X2,sK9)
| ~ sequential(X2,sK10)
| precedes(X2,sK10,sK9) )
| ~ spl13_10 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f213,plain,
( spl13_10
<=> ! [X2] :
( ~ on_path(X2,sK9)
| ~ sequential(X2,sK10)
| precedes(X2,sK10,sK9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f2349,plain,
( sequential(sK8,sK10)
| ~ spl13_41
| ~ spl13_43 ),
inference(superposition,[],[f480,f489]) ).
fof(f489,plain,
( sK3(tail_of(sK10),head_of(sK8)) = sK8
| ~ spl13_43 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f487,plain,
( spl13_43
<=> sK3(tail_of(sK10),head_of(sK8)) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f480,plain,
( sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f478,plain,
( spl13_41
<=> sequential(sK3(tail_of(sK10),head_of(sK8)),sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f2330,plain,
( ~ spl13_6
| ~ spl13_91
| ~ spl13_93 ),
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2329,plain,
( $false
| ~ spl13_6
| ~ spl13_91
| ~ spl13_93 ),
inference(subsumption_resolution,[],[f2328,f840]) ).
fof(f840,plain,
( head_of(sK3(tail_of(sK10),head_of(sK8))) = head_of(sK8)
| ~ spl13_91 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f838,plain,
( spl13_91
<=> head_of(sK3(tail_of(sK10),head_of(sK8))) = head_of(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).
fof(f2328,plain,
( head_of(sK3(tail_of(sK10),head_of(sK8))) != head_of(sK8)
| ~ spl13_6
| ~ spl13_93 ),
inference(trivial_inequality_removal,[],[f2326]) ).
fof(f2326,plain,
( head_of(sK3(tail_of(sK10),head_of(sK8))) != head_of(sK8)
| tail_of(sK10) != tail_of(sK10)
| ~ spl13_6
| ~ spl13_93 ),
inference(superposition,[],[f186,f850]) ).
fof(f850,plain,
( tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
| ~ spl13_93 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f848,plain,
( spl13_93
<=> tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f186,plain,
( ! [X4] :
( tail_of(X4) != tail_of(sK10)
| head_of(X4) != head_of(sK8) )
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f185,plain,
( spl13_6
<=> ! [X4] :
( head_of(X4) != head_of(sK8)
| tail_of(X4) != tail_of(sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f2313,plain,
( ~ spl13_41
| ~ spl13_124 ),
inference(avatar_split_clause,[],[f2312,f1086,f478]) ).
fof(f1086,plain,
( spl13_124
<=> sequential(sK8,sK3(tail_of(sK10),head_of(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).
fof(f2312,plain,
( ~ sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
| ~ spl13_124 ),
inference(subsumption_resolution,[],[f2302,f114]) ).
fof(f114,plain,
sequential(sK10,sK8),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ! [X5] : ~ triangle(sK10,sK8,X5)
& shortest_path(sK6,sK7,sK9)
& precedes(sK10,sK8,sK9)
& sequential(sK10,sK8)
& complete ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10])],[f77,f78]) ).
fof(f78,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] : ~ triangle(X4,X2,X5)
& shortest_path(X0,X1,X3)
& precedes(X4,X2,X3)
& sequential(X4,X2) )
=> ( ! [X5] : ~ triangle(sK10,sK8,X5)
& shortest_path(sK6,sK7,sK9)
& precedes(sK10,sK8,sK9)
& sequential(sK10,sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] : ~ triangle(X4,X2,X5)
& shortest_path(X0,X1,X3)
& precedes(X4,X2,X3)
& sequential(X4,X2) )
& complete ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
( ? [X2,X1,X0,X4,X3] :
( ! [X5] : ~ triangle(X3,X0,X5)
& shortest_path(X2,X1,X4)
& precedes(X3,X0,X4)
& sequential(X3,X0) )
& complete ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
( ? [X2,X1,X3,X4,X0] :
( ! [X5] : ~ triangle(X3,X0,X5)
& precedes(X3,X0,X4)
& sequential(X3,X0)
& shortest_path(X2,X1,X4) )
& complete ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
~ ( complete
=> ! [X2,X1,X3,X4,X0] :
( ( precedes(X3,X0,X4)
& sequential(X3,X0)
& shortest_path(X2,X1,X4) )
=> ? [X5] : triangle(X3,X0,X5) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( complete
=> ! [X7,X2,X1,X6,X3] :
( ( precedes(X6,X7,X3)
& sequential(X6,X7)
& shortest_path(X1,X2,X3) )
=> ? [X8] : triangle(X6,X7,X8) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( complete
=> ! [X7,X2,X1,X6,X3] :
( ( precedes(X6,X7,X3)
& sequential(X6,X7)
& shortest_path(X1,X2,X3) )
=> ? [X8] : triangle(X6,X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_is_triangle) ).
fof(f2302,plain,
( ~ sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
| ~ sequential(sK10,sK8)
| ~ spl13_124 ),
inference(subsumption_resolution,[],[f2279,f117]) ).
fof(f117,plain,
! [X5] : ~ triangle(sK10,sK8,X5),
inference(cnf_transformation,[],[f79]) ).
fof(f2279,plain,
( triangle(sK10,sK8,sK3(tail_of(sK10),head_of(sK8)))
| ~ sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
| ~ sequential(sK10,sK8)
| ~ spl13_124 ),
inference(resolution,[],[f1087,f157]) ).
fof(f157,plain,
! [X2,X1] :
( ~ sequential(X2,X1)
| triangle(sK10,X2,X1)
| ~ sequential(sK10,X2)
| ~ sequential(X1,sK10) ),
inference(subsumption_resolution,[],[f156,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1] :
( ( ( X0 != X1
& edge(X1)
& head_of(X0) = tail_of(X1)
& edge(X0) )
| ~ sequential(X0,X1) )
& ( sequential(X0,X1)
| X0 = X1
| ~ edge(X1)
| head_of(X0) != tail_of(X1)
| ~ edge(X0) ) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X1,X0] :
( ( ( X0 != X1
& edge(X0)
& tail_of(X0) = head_of(X1)
& edge(X1) )
| ~ sequential(X1,X0) )
& ( sequential(X1,X0)
| X0 = X1
| ~ edge(X0)
| tail_of(X0) != head_of(X1)
| ~ edge(X1) ) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X1,X0] :
( ( ( X0 != X1
& edge(X0)
& tail_of(X0) = head_of(X1)
& edge(X1) )
| ~ sequential(X1,X0) )
& ( sequential(X1,X0)
| X0 = X1
| ~ edge(X0)
| tail_of(X0) != head_of(X1)
| ~ edge(X1) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( X0 != X1
& edge(X0)
& tail_of(X0) = head_of(X1)
& edge(X1) )
<=> sequential(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X7,X6] :
( ( X6 != X7
& edge(X6)
& head_of(X6) = tail_of(X7)
& edge(X7) )
<=> sequential(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_defn) ).
fof(f156,plain,
! [X2,X1] :
( ~ edge(X1)
| triangle(sK10,X2,X1)
| ~ sequential(sK10,X2)
| ~ sequential(X1,sK10)
| ~ sequential(X2,X1) ),
inference(subsumption_resolution,[],[f155,f119]) ).
fof(f155,plain,
! [X2,X1] :
( ~ edge(X2)
| ~ sequential(sK10,X2)
| ~ sequential(X2,X1)
| ~ sequential(X1,sK10)
| ~ edge(X1)
| triangle(sK10,X2,X1) ),
inference(resolution,[],[f143,f96]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ edge(X1)
| ~ edge(X0)
| ~ edge(X2)
| ~ sequential(X2,X0)
| triangle(X1,X2,X0)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ sequential(X1,X2)
| triangle(X1,X2,X0)
| ~ edge(X1)
| ~ sequential(X0,X1)
| ~ edge(X0)
| ~ sequential(X2,X0)
| ~ edge(X2) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ sequential(X0,X1)
| triangle(X0,X1,X2)
| ~ edge(X0)
| ~ sequential(X2,X0)
| ~ edge(X2)
| ~ sequential(X1,X2)
| ~ edge(X1) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ edge(X0)
| ~ edge(X2)
| ~ edge(X1)
| ~ sequential(X1,X2)
| ~ sequential(X0,X1)
| ~ sequential(X2,X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ( edge(X0)
& edge(X2)
& edge(X1)
& sequential(X1,X2)
& sequential(X0,X1)
& sequential(X2,X0) )
=> triangle(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ( edge(X0)
& edge(X2)
& edge(X1)
& sequential(X1,X2)
& sequential(X0,X1)
& sequential(X2,X0) )
<=> triangle(X0,X1,X2) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X6,X7,X8] :
( triangle(X6,X7,X8)
<=> ( edge(X6)
& sequential(X6,X7)
& edge(X8)
& edge(X7)
& sequential(X8,X6)
& sequential(X7,X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle_defn) ).
fof(f143,plain,
edge(sK10),
inference(resolution,[],[f114,f119]) ).
fof(f1087,plain,
( sequential(sK8,sK3(tail_of(sK10),head_of(sK8)))
| ~ spl13_124 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f2273,plain,
( spl13_124
| spl13_43
| ~ spl13_60
| ~ spl13_92 ),
inference(avatar_split_clause,[],[f2263,f843,f586,f487,f1086]) ).
fof(f586,plain,
( spl13_60
<=> edge(sK3(tail_of(sK10),head_of(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f843,plain,
( spl13_92
<=> head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f2263,plain,
( sK3(tail_of(sK10),head_of(sK8)) = sK8
| sequential(sK8,sK3(tail_of(sK10),head_of(sK8)))
| ~ spl13_60
| ~ spl13_92 ),
inference(trivial_inequality_removal,[],[f2255]) ).
fof(f2255,plain,
( head_of(sK8) != head_of(sK8)
| sK3(tail_of(sK10),head_of(sK8)) = sK8
| sequential(sK8,sK3(tail_of(sK10),head_of(sK8)))
| ~ spl13_60
| ~ spl13_92 ),
inference(resolution,[],[f2253,f142]) ).
fof(f142,plain,
edge(sK8),
inference(resolution,[],[f114,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f2253,plain,
( ! [X2] :
( ~ edge(X2)
| sK3(tail_of(sK10),head_of(sK8)) = X2
| head_of(X2) != head_of(sK8)
| sequential(X2,sK3(tail_of(sK10),head_of(sK8))) )
| ~ spl13_60
| ~ spl13_92 ),
inference(forward_demodulation,[],[f635,f845]) ).
fof(f845,plain,
( head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8)))
| ~ spl13_92 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f635,plain,
( ! [X2] :
( ~ edge(X2)
| sequential(X2,sK3(tail_of(sK10),head_of(sK8)))
| head_of(X2) != tail_of(sK3(tail_of(sK10),head_of(sK8)))
| sK3(tail_of(sK10),head_of(sK8)) = X2 )
| ~ spl13_60 ),
inference(resolution,[],[f588,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ edge(X1)
| ~ edge(X0)
| head_of(X0) != tail_of(X1)
| sequential(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f588,plain,
( edge(sK3(tail_of(sK10),head_of(sK8)))
| ~ spl13_60 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f1777,plain,
( spl13_20
| ~ spl13_92
| ~ spl13_93 ),
inference(avatar_contradiction_clause,[],[f1776]) ).
fof(f1776,plain,
( $false
| spl13_20
| ~ spl13_92
| ~ spl13_93 ),
inference(subsumption_resolution,[],[f1775,f299]) ).
fof(f299,plain,
( head_of(sK8) != tail_of(sK10)
| spl13_20 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl13_20
<=> head_of(sK8) = tail_of(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f1775,plain,
( head_of(sK8) = tail_of(sK10)
| ~ spl13_92
| ~ spl13_93 ),
inference(forward_demodulation,[],[f850,f845]) ).
fof(f1057,plain,
( spl13_18
| spl13_20
| ~ spl13_40
| ~ spl13_61 ),
inference(avatar_contradiction_clause,[],[f1056]) ).
fof(f1056,plain,
( $false
| spl13_18
| spl13_20
| ~ spl13_40
| ~ spl13_61 ),
inference(subsumption_resolution,[],[f1055,f263]) ).
fof(f263,plain,
( head_of(sK8) != head_of(sK10)
| spl13_18 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl13_18
<=> head_of(sK8) = head_of(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f1055,plain,
( head_of(sK8) = head_of(sK10)
| spl13_20
| ~ spl13_40
| ~ spl13_61 ),
inference(subsumption_resolution,[],[f1053,f299]) ).
fof(f1053,plain,
( head_of(sK8) = tail_of(sK10)
| head_of(sK8) = head_of(sK10)
| ~ spl13_40
| ~ spl13_61 ),
inference(resolution,[],[f1049,f91]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| tail_of(X1) = X0
| head_of(X1) = X0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( ( head_of(X1) != X0
| tail_of(X1) != X2
| head_of(X1) != X2
| tail_of(X1) != X0 )
& ( ( head_of(X1) = X0
& tail_of(X1) = X2 )
| ( head_of(X1) = X2
& tail_of(X1) = X0 ) ) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0,X2,X1] :
( ( ( head_of(X2) != X0
| tail_of(X2) != X1
| head_of(X2) != X1
| tail_of(X2) != X0 )
& ( ( head_of(X2) = X0
& tail_of(X2) = X1 )
| ( head_of(X2) = X1
& tail_of(X2) = X0 ) ) )
| ~ sP0(X0,X2,X1) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X2,X1] :
( ( ( head_of(X2) != X0
| tail_of(X2) != X1
| head_of(X2) != X1
| tail_of(X2) != X0 )
& ( ( head_of(X2) = X0
& tail_of(X2) = X1 )
| ( head_of(X2) = X1
& tail_of(X2) = X0 ) ) )
| ~ sP0(X0,X2,X1) ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X2,X1] :
( ( ( head_of(X2) = X1
& tail_of(X2) = X0 )
<~> ( head_of(X2) = X0
& tail_of(X2) = X1 ) )
| ~ sP0(X0,X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1049,plain,
( sP0(head_of(sK8),sK10,tail_of(sK10))
| ~ spl13_40
| ~ spl13_61 ),
inference(superposition,[],[f593,f476]) ).
fof(f476,plain,
( sK10 = sK3(tail_of(sK10),head_of(sK8))
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f474,plain,
( spl13_40
<=> sK10 = sK3(tail_of(sK10),head_of(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f593,plain,
( sP0(head_of(sK8),sK3(tail_of(sK10),head_of(sK8)),tail_of(sK10))
| ~ spl13_61 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl13_61
<=> sP0(head_of(sK8),sK3(tail_of(sK10),head_of(sK8)),tail_of(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f852,plain,
( spl13_93
| spl13_39
| ~ spl13_61 ),
inference(avatar_split_clause,[],[f836,f591,f470,f848]) ).
fof(f470,plain,
( spl13_39
<=> head_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f836,plain,
( head_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
| tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
| ~ spl13_61 ),
inference(resolution,[],[f593,f90]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| head_of(X1) = X2
| tail_of(X1) = X2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f851,plain,
( spl13_93
| spl13_92
| ~ spl13_61 ),
inference(avatar_split_clause,[],[f833,f591,f843,f848]) ).
fof(f833,plain,
( head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8)))
| tail_of(sK3(tail_of(sK10),head_of(sK8))) = tail_of(sK10)
| ~ spl13_61 ),
inference(resolution,[],[f593,f89]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| tail_of(X1) = X2
| tail_of(X1) = X0 ),
inference(cnf_transformation,[],[f60]) ).
fof(f846,plain,
( spl13_92
| spl13_91
| ~ spl13_61 ),
inference(avatar_split_clause,[],[f835,f591,f838,f843]) ).
fof(f835,plain,
( head_of(sK3(tail_of(sK10),head_of(sK8))) = head_of(sK8)
| head_of(sK8) = tail_of(sK3(tail_of(sK10),head_of(sK8)))
| ~ spl13_61 ),
inference(resolution,[],[f593,f91]) ).
fof(f641,plain,
( spl13_41
| spl13_40
| ~ spl13_39
| ~ spl13_60 ),
inference(avatar_split_clause,[],[f637,f586,f470,f474,f478]) ).
fof(f637,plain,
( head_of(sK3(tail_of(sK10),head_of(sK8))) != tail_of(sK10)
| sK10 = sK3(tail_of(sK10),head_of(sK8))
| sequential(sK3(tail_of(sK10),head_of(sK8)),sK10)
| ~ spl13_60 ),
inference(resolution,[],[f588,f152]) ).
fof(f152,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(sK10)
| sK10 = X0
| sequential(X0,sK10) ),
inference(resolution,[],[f143,f118]) ).
fof(f627,plain,
~ spl13_19,
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f626,plain,
( $false
| ~ spl13_19 ),
inference(subsumption_resolution,[],[f605,f136]) ).
fof(f136,plain,
! [X1] : ~ sequential(X1,X1),
inference(equality_resolution,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( X0 != X1
| ~ sequential(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f605,plain,
( sequential(sK8,sK8)
| ~ spl13_19 ),
inference(superposition,[],[f114,f295]) ).
fof(f295,plain,
( sK10 = sK8
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl13_19
<=> sK10 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f594,plain,
( spl13_20
| spl13_61 ),
inference(avatar_split_clause,[],[f342,f591,f297]) ).
fof(f342,plain,
( sP0(head_of(sK8),sK3(tail_of(sK10),head_of(sK8)),tail_of(sK10))
| head_of(sK8) = tail_of(sK10) ),
inference(resolution,[],[f277,f151]) ).
fof(f151,plain,
vertex(tail_of(sK10)),
inference(resolution,[],[f143,f111]) ).
fof(f111,plain,
! [X0] :
( ~ edge(X0)
| vertex(tail_of(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,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(f277,plain,
! [X2] :
( ~ vertex(X2)
| head_of(sK8) = X2
| sP0(head_of(sK8),sK3(X2,head_of(sK8)),X2) ),
inference(resolution,[],[f139,f147]) ).
fof(f147,plain,
vertex(head_of(sK8)),
inference(resolution,[],[f142,f110]) ).
fof(f110,plain,
! [X0] :
( ~ edge(X0)
| vertex(head_of(X0)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f139,plain,
! [X0,X1] :
( ~ vertex(X1)
| X0 = X1
| sP0(X1,sK3(X0,X1),X0)
| ~ vertex(X0) ),
inference(resolution,[],[f113,f95]) ).
fof(f95,plain,
! [X0,X1] :
( ~ complete
| X0 = X1
| ~ vertex(X1)
| sP0(X1,sK3(X0,X1),X0)
| ~ vertex(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ~ complete
| ! [X0,X1] :
( X0 = X1
| ( sP0(X1,sK3(X0,X1),X0)
& edge(sK3(X0,X1)) )
| ~ vertex(X0)
| ~ vertex(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f61,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
( sP0(X1,X2,X0)
& edge(X2) )
=> ( sP0(X1,sK3(X0,X1),X0)
& edge(sK3(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
( ~ complete
| ! [X0,X1] :
( X0 = X1
| ? [X2] :
( sP0(X1,X2,X0)
& edge(X2) )
| ~ vertex(X0)
| ~ vertex(X1) ) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
( ~ complete
| ! [X1,X0] :
( X0 = X1
| ? [X2] :
( sP0(X0,X2,X1)
& edge(X2) )
| ~ vertex(X1)
| ~ vertex(X0) ) ),
inference(definition_folding,[],[f36,f51]) ).
fof(f36,plain,
( ~ complete
| ! [X1,X0] :
( X0 = X1
| ? [X2] :
( ( ( head_of(X2) = X1
& tail_of(X2) = X0 )
<~> ( head_of(X2) = X0
& tail_of(X2) = X1 ) )
& edge(X2) )
| ~ vertex(X1)
| ~ vertex(X0) ) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
( ! [X1,X0] :
( ? [X2] :
( ( ( head_of(X2) = X1
& tail_of(X2) = X0 )
<~> ( head_of(X2) = X0
& tail_of(X2) = X1 ) )
& edge(X2) )
| ~ vertex(X1)
| ~ vertex(X0)
| X0 = X1 )
| ~ complete ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
( complete
=> ! [X1,X0] :
( ( vertex(X1)
& vertex(X0)
& X0 != X1 )
=> ? [X2] :
( ( ( head_of(X2) = X1
& tail_of(X2) = X0 )
<~> ( head_of(X2) = X0
& tail_of(X2) = X1 ) )
& edge(X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( complete
=> ! [X2,X1] :
( ( vertex(X1)
& vertex(X2)
& X1 != X2 )
=> ? [X0] :
( ( ( tail_of(X0) = X1
& head_of(X0) = X2 )
<~> ( head_of(X0) = X1
& tail_of(X0) = X2 ) )
& edge(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complete_properties) ).
fof(f113,plain,
complete,
inference(cnf_transformation,[],[f79]) ).
fof(f589,plain,
( spl13_60
| spl13_20 ),
inference(avatar_split_clause,[],[f319,f297,f586]) ).
fof(f319,plain,
( head_of(sK8) = tail_of(sK10)
| edge(sK3(tail_of(sK10),head_of(sK8))) ),
inference(resolution,[],[f270,f151]) ).
fof(f270,plain,
! [X2] :
( ~ vertex(X2)
| head_of(sK8) = X2
| edge(sK3(X2,head_of(sK8))) ),
inference(resolution,[],[f138,f147]) ).
fof(f138,plain,
! [X0,X1] :
( ~ vertex(X1)
| edge(sK3(X0,X1))
| X0 = X1
| ~ vertex(X0) ),
inference(resolution,[],[f113,f94]) ).
fof(f94,plain,
! [X0,X1] :
( ~ complete
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| edge(sK3(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f300,plain,
( spl13_19
| ~ spl13_20
| ~ spl13_1
| spl13_5
| ~ spl13_10 ),
inference(avatar_split_clause,[],[f291,f213,f180,f164,f297,f293]) ).
fof(f291,plain,
( head_of(sK8) != tail_of(sK10)
| sK10 = sK8
| ~ spl13_1
| spl13_5
| ~ spl13_10 ),
inference(subsumption_resolution,[],[f289,f286]) ).
fof(f289,plain,
( head_of(sK8) != tail_of(sK10)
| sK10 = sK8
| sequential(sK8,sK10) ),
inference(resolution,[],[f152,f142]) ).
fof(f266,plain,
~ spl13_18,
inference(avatar_split_clause,[],[f265,f261]) ).
fof(f265,plain,
head_of(sK8) != head_of(sK10),
inference(superposition,[],[f146,f141]) ).
fof(f141,plain,
head_of(sK10) = tail_of(sK8),
inference(resolution,[],[f114,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| head_of(X0) = tail_of(X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f146,plain,
head_of(sK8) != tail_of(sK8),
inference(resolution,[],[f142,f132]) ).
fof(f132,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,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(f215,plain,
( spl13_2
| spl13_10
| ~ spl13_7 ),
inference(avatar_split_clause,[],[f210,f189,f213,f168]) ).
fof(f168,plain,
( spl13_2
<=> ! [X2,X3] : ~ path(X2,X3,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f189,plain,
( spl13_7
<=> on_path(sK10,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f210,plain,
( ! [X2,X0,X1] :
( ~ on_path(X2,sK9)
| precedes(X2,sK10,sK9)
| ~ sequential(X2,sK10)
| ~ path(X0,X1,sK9) )
| ~ spl13_7 ),
inference(resolution,[],[f191,f124]) ).
fof(f124,plain,
! [X2,X3,X0,X1,X4] :
( ~ on_path(X3,X2)
| ~ path(X0,X1,X2)
| ~ sequential(X4,X3)
| precedes(X4,X3,X2)
| ~ on_path(X4,X2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ! [X5] :
( ~ sequential(X4,X5)
| ~ precedes(X5,X3,X2) )
& ~ sequential(X4,X3) )
| precedes(X4,X3,X2)
| ~ on_path(X3,X2)
| ~ on_path(X4,X2) )
| ~ path(X0,X1,X2) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X2,X1,X0] :
( ! [X4,X3] :
( precedes(X4,X3,X2)
| ( ! [X5] :
( ~ sequential(X4,X5)
| ~ precedes(X5,X3,X2) )
& ~ sequential(X4,X3) )
| ~ on_path(X4,X2)
| ~ on_path(X3,X2) )
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X2,X1,X0] :
( path(X0,X1,X2)
=> ! [X4,X3] :
( ( ( sequential(X4,X3)
| ? [X5] :
( precedes(X5,X3,X2)
& sequential(X4,X5) ) )
& on_path(X4,X2)
& on_path(X3,X2) )
=> precedes(X4,X3,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X2,X3] :
( path(X1,X2,X3)
=> ! [X7,X6] :
( ( on_path(X7,X3)
& on_path(X6,X3)
& ( ? [X8] :
( sequential(X6,X8)
& precedes(X8,X7,X3) )
| sequential(X6,X7) ) )
=> precedes(X6,X7,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_defn) ).
fof(f191,plain,
( on_path(sK10,sK9)
| ~ spl13_7 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f199,plain,
~ spl13_2,
inference(avatar_contradiction_clause,[],[f198]) ).
fof(f198,plain,
( $false
| ~ spl13_2 ),
inference(subsumption_resolution,[],[f196,f169]) ).
fof(f169,plain,
( ! [X2,X3] : ~ path(X2,X3,sK9)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f196,plain,
path(sK6,sK7,sK9),
inference(resolution,[],[f193,f104]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| path(X1,X0,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| X0 = X1
| ~ path(X1,X0,X2)
| ( ~ less_or_equal(length_of(X2),length_of(sK5(X0,X1,X2)))
& path(X1,X0,sK5(X0,X1,X2)) ) )
& ( ( X0 != X1
& path(X1,X0,X2)
& ! [X4] :
( less_or_equal(length_of(X2),length_of(X4))
| ~ path(X1,X0,X4) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f72,f73]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X1,X0,X3) )
=> ( ~ less_or_equal(length_of(X2),length_of(sK5(X0,X1,X2)))
& path(X1,X0,sK5(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( sP2(X0,X1,X2)
| X0 = X1
| ~ path(X1,X0,X2)
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X1,X0,X3) ) )
& ( ( X0 != X1
& path(X1,X0,X2)
& ! [X4] :
( less_or_equal(length_of(X2),length_of(X4))
| ~ path(X1,X0,X4) ) )
| ~ sP2(X0,X1,X2) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| X1 = X2
| ~ path(X1,X2,X0)
| ? [X3] :
( ~ less_or_equal(length_of(X0),length_of(X3))
& path(X1,X2,X3) ) )
& ( ( X1 != X2
& path(X1,X2,X0)
& ! [X3] :
( less_or_equal(length_of(X0),length_of(X3))
| ~ path(X1,X2,X3) ) )
| ~ sP2(X2,X1,X0) ) ),
inference(flattening,[],[f70]) ).
fof(f70,plain,
! [X2,X1,X0] :
( ( sP2(X2,X1,X0)
| X1 = X2
| ~ path(X1,X2,X0)
| ? [X3] :
( ~ less_or_equal(length_of(X0),length_of(X3))
& path(X1,X2,X3) ) )
& ( ( X1 != X2
& path(X1,X2,X0)
& ! [X3] :
( less_or_equal(length_of(X0),length_of(X3))
| ~ path(X1,X2,X3) ) )
| ~ sP2(X2,X1,X0) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X2,X1,X0] :
( sP2(X2,X1,X0)
<=> ( X1 != X2
& path(X1,X2,X0)
& ! [X3] :
( less_or_equal(length_of(X0),length_of(X3))
| ~ path(X1,X2,X3) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f193,plain,
sP2(sK7,sK6,sK9),
inference(resolution,[],[f116,f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X2,X1)
| sP2(X2,X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X2,X1)
| ~ sP2(X2,X0,X1) )
& ( sP2(X2,X0,X1)
| ~ shortest_path(X0,X2,X1) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X1,X0,X2] :
( ( shortest_path(X1,X2,X0)
| ~ sP2(X2,X1,X0) )
& ( sP2(X2,X1,X0)
| ~ shortest_path(X1,X2,X0) ) ),
inference(nnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X1,X0,X2] :
( shortest_path(X1,X2,X0)
<=> sP2(X2,X1,X0) ),
inference(definition_folding,[],[f43,f55]) ).
fof(f43,plain,
! [X1,X0,X2] :
( shortest_path(X1,X2,X0)
<=> ( X1 != X2
& path(X1,X2,X0)
& ! [X3] :
( less_or_equal(length_of(X0),length_of(X3))
| ~ path(X1,X2,X3) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X2,X1,X0] :
( shortest_path(X1,X2,X0)
<=> ( ! [X3] :
( path(X1,X2,X3)
=> less_or_equal(length_of(X0),length_of(X3)) )
& X1 != X2
& path(X1,X2,X0) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X9,X1,X2] :
( ( path(X1,X2,X9)
& X1 != X2
& ! [X3] :
( path(X1,X2,X3)
=> less_or_equal(length_of(X9),length_of(X3)) ) )
<=> shortest_path(X1,X2,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_defn) ).
fof(f116,plain,
shortest_path(sK6,sK7,sK9),
inference(cnf_transformation,[],[f79]) ).
fof(f195,plain,
~ spl13_4,
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| ~ spl13_4 ),
inference(resolution,[],[f178,f116]) ).
fof(f178,plain,
( ! [X8,X7] : ~ shortest_path(X7,X8,sK9)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f177,plain,
( spl13_4
<=> ! [X8,X7] : ~ shortest_path(X7,X8,sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f192,plain,
( spl13_2
| spl13_7 ),
inference(avatar_split_clause,[],[f158,f189,f168]) ).
fof(f158,plain,
! [X0,X1] :
( on_path(sK10,sK9)
| ~ path(X0,X1,sK9) ),
inference(resolution,[],[f115,f100]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X4,X2)
| ~ path(X1,X0,X2)
| on_path(X3,X2) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ path(X1,X0,X2)
| ! [X3,X4] :
( ~ precedes(X3,X4,X2)
| ( sP1(X4,X3,X2)
& on_path(X4,X2)
& on_path(X3,X2) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X2,X1,X0] :
( ~ path(X1,X2,X0)
| ! [X4,X3] :
( ~ precedes(X4,X3,X0)
| ( sP1(X3,X4,X0)
& on_path(X3,X0)
& on_path(X4,X0) ) ) ),
inference(definition_folding,[],[f46,f53]) ).
fof(f53,plain,
! [X3,X4,X0] :
( ( ? [X5] :
( precedes(X5,X3,X0)
& sequential(X4,X5) )
<~> sequential(X4,X3) )
| ~ sP1(X3,X4,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f46,plain,
! [X2,X1,X0] :
( ~ path(X1,X2,X0)
| ! [X4,X3] :
( ~ precedes(X4,X3,X0)
| ( ( ? [X5] :
( precedes(X5,X3,X0)
& sequential(X4,X5) )
<~> sequential(X4,X3) )
& on_path(X3,X0)
& on_path(X4,X0) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( path(X1,X2,X0)
=> ! [X4,X3] :
( precedes(X4,X3,X0)
=> ( ( ? [X5] :
( precedes(X5,X3,X0)
& sequential(X4,X5) )
<~> sequential(X4,X3) )
& on_path(X3,X0)
& on_path(X4,X0) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X7,X6] :
( precedes(X6,X7,X3)
=> ( ( ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) )
<~> sequential(X6,X7) )
& on_path(X6,X3)
& on_path(X7,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',precedes_properties) ).
fof(f115,plain,
precedes(sK10,sK8,sK9),
inference(cnf_transformation,[],[f79]) ).
fof(f187,plain,
( spl13_6
| spl13_4 ),
inference(avatar_split_clause,[],[f160,f177,f185]) ).
fof(f160,plain,
! [X6,X4,X5] :
( ~ shortest_path(X5,X6,sK9)
| head_of(X4) != head_of(sK8)
| tail_of(X4) != tail_of(sK10) ),
inference(resolution,[],[f115,f126]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ precedes(X4,X0,X3)
| tail_of(X5) != tail_of(X4)
| ~ shortest_path(X1,X2,X3)
| head_of(X0) != head_of(X5) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] :
( ~ shortest_path(X1,X2,X3)
| ( ~ precedes(X0,X4,X3)
& ! [X5] :
( tail_of(X5) != tail_of(X4)
| head_of(X0) != head_of(X5) ) )
| ~ precedes(X4,X0,X3) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X2,X4,X0,X3,X1] :
( ~ shortest_path(X4,X0,X3)
| ( ~ precedes(X2,X1,X3)
& ! [X5] :
( tail_of(X5) != tail_of(X1)
| head_of(X5) != head_of(X2) ) )
| ~ precedes(X1,X2,X3) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X4,X3,X0,X2,X1] :
( ( ~ precedes(X2,X1,X3)
& ! [X5] :
( tail_of(X5) != tail_of(X1)
| head_of(X5) != head_of(X2) ) )
| ~ shortest_path(X4,X0,X3)
| ~ precedes(X1,X2,X3) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X4,X3,X0,X2,X1] :
( ( shortest_path(X4,X0,X3)
& precedes(X1,X2,X3) )
=> ( ~ ? [X5] :
( head_of(X5) = head_of(X2)
& tail_of(X5) = tail_of(X1) )
& ~ precedes(X2,X1,X3) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X2,X6,X7,X3,X1] :
( ( shortest_path(X1,X2,X3)
& precedes(X6,X7,X3) )
=> ( ~ precedes(X7,X6,X3)
& ~ ? [X8] :
( tail_of(X8) = tail_of(X6)
& head_of(X8) = head_of(X7) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',shortest_path_properties) ).
fof(f183,plain,
( spl13_4
| ~ spl13_5 ),
inference(avatar_split_clause,[],[f161,f180,f177]) ).
fof(f161,plain,
! [X8,X7] :
( ~ precedes(sK8,sK10,sK9)
| ~ shortest_path(X7,X8,sK9) ),
inference(resolution,[],[f115,f127]) ).
fof(f127,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X0,X4,X3)
| ~ shortest_path(X1,X2,X3)
| ~ precedes(X4,X0,X3) ),
inference(cnf_transformation,[],[f84]) ).
fof(f170,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f159,f168,f164]) ).
fof(f159,plain,
! [X2,X3] :
( ~ path(X2,X3,sK9)
| on_path(sK8,sK9) ),
inference(resolution,[],[f115,f101]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X4,X2)
| on_path(X4,X2)
| ~ path(X1,X0,X2) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRA008+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 21:58:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (12060)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (12067)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (12069)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.51 % (12082)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (12075)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (12074)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (12074)Instruction limit reached!
% 0.20/0.52 % (12074)------------------------------
% 0.20/0.52 % (12074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12074)Termination reason: Unknown
% 0.20/0.52 % (12074)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (12074)Memory used [KB]: 1535
% 0.20/0.52 % (12074)Time elapsed: 0.005 s
% 0.20/0.52 % (12074)Instructions burned: 3 (million)
% 0.20/0.52 % (12074)------------------------------
% 0.20/0.52 % (12074)------------------------------
% 0.20/0.52 % (12066)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (12068)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52 % (12086)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (12088)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53 % (12062)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (12064)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (12062)Instruction limit reached!
% 0.20/0.53 % (12062)------------------------------
% 0.20/0.53 % (12062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12062)Termination reason: Unknown
% 0.20/0.53 % (12062)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (12062)Memory used [KB]: 1535
% 0.20/0.53 % (12062)Time elapsed: 0.003 s
% 0.20/0.53 % (12062)Instructions burned: 4 (million)
% 0.20/0.53 % (12062)------------------------------
% 0.20/0.53 % (12062)------------------------------
% 0.20/0.53 % (12089)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (12061)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (12063)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (12065)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (12078)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53 % (12078)Instruction limit reached!
% 0.20/0.53 % (12078)------------------------------
% 0.20/0.53 % (12078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12078)Termination reason: Unknown
% 0.20/0.53 % (12078)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (12078)Memory used [KB]: 6012
% 0.20/0.53 % (12078)Time elapsed: 0.003 s
% 0.20/0.53 % (12078)Instructions burned: 3 (million)
% 0.20/0.53 % (12078)------------------------------
% 0.20/0.53 % (12078)------------------------------
% 0.20/0.53 % (12063)Refutation not found, incomplete strategy% (12063)------------------------------
% 0.20/0.53 % (12063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (12063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (12063)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (12063)Memory used [KB]: 6012
% 0.20/0.53 % (12063)Time elapsed: 0.134 s
% 0.20/0.53 % (12063)Instructions burned: 4 (million)
% 0.20/0.53 % (12063)------------------------------
% 0.20/0.53 % (12063)------------------------------
% 0.20/0.54 % (12076)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (12070)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54 % (12084)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (12080)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (12075)Instruction limit reached!
% 0.20/0.54 % (12075)------------------------------
% 0.20/0.54 % (12075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (12075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (12075)Termination reason: Unknown
% 0.20/0.54 % (12075)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (12075)Memory used [KB]: 6140
% 0.20/0.54 % (12075)Time elapsed: 0.149 s
% 0.20/0.54 % (12075)Instructions burned: 7 (million)
% 0.20/0.54 % (12075)------------------------------
% 0.20/0.54 % (12075)------------------------------
% 0.20/0.54 % (12079)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54 % (12083)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (12081)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (12085)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54 % (12072)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.54 % (12071)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (12073)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (12077)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.55 % (12077)Instruction limit reached!
% 0.20/0.55 % (12077)------------------------------
% 0.20/0.55 % (12077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12077)Termination reason: Unknown
% 0.20/0.55 % (12077)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (12077)Memory used [KB]: 1535
% 0.20/0.55 % (12077)Time elapsed: 0.002 s
% 0.20/0.55 % (12077)Instructions burned: 3 (million)
% 0.20/0.55 % (12077)------------------------------
% 0.20/0.55 % (12077)------------------------------
% 0.20/0.55 % (12088)Instruction limit reached!
% 0.20/0.55 % (12088)------------------------------
% 0.20/0.55 % (12088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12088)Termination reason: Unknown
% 0.20/0.55 % (12088)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (12088)Memory used [KB]: 6140
% 0.20/0.55 % (12088)Time elapsed: 0.159 s
% 0.20/0.55 % (12088)Instructions burned: 8 (million)
% 0.20/0.55 % (12088)------------------------------
% 0.20/0.55 % (12088)------------------------------
% 0.20/0.55 % (12064)Instruction limit reached!
% 0.20/0.55 % (12064)------------------------------
% 0.20/0.55 % (12064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12064)Termination reason: Unknown
% 0.20/0.55 % (12064)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (12064)Memory used [KB]: 6140
% 0.20/0.55 % (12064)Time elapsed: 0.142 s
% 0.20/0.55 % (12064)Instructions burned: 14 (million)
% 0.20/0.55 % (12064)------------------------------
% 0.20/0.55 % (12064)------------------------------
% 0.20/0.55 % (12061)Refutation not found, incomplete strategy% (12061)------------------------------
% 0.20/0.55 % (12061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (12061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (12061)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (12061)Memory used [KB]: 6140
% 0.20/0.55 % (12061)Time elapsed: 0.138 s
% 0.20/0.55 % (12061)Instructions burned: 7 (million)
% 0.20/0.55 % (12061)------------------------------
% 0.20/0.55 % (12061)------------------------------
% 0.20/0.56 % (12087)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56 % (12065)Instruction limit reached!
% 0.20/0.56 % (12065)------------------------------
% 0.20/0.56 % (12065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12072)Instruction limit reached!
% 0.20/0.56 % (12072)------------------------------
% 0.20/0.56 % (12072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12070)Instruction limit reached!
% 0.20/0.56 % (12070)------------------------------
% 0.20/0.56 % (12070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (12070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (12070)Termination reason: Unknown
% 0.20/0.56 % (12070)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (12070)Memory used [KB]: 6268
% 0.20/0.56 % (12070)Time elapsed: 0.171 s
% 0.20/0.56 % (12070)Instructions burned: 13 (million)
% 0.20/0.56 % (12070)------------------------------
% 0.20/0.56 % (12070)------------------------------
% 0.20/0.56 % (12067)Instruction limit reached!
% 0.20/0.56 % (12067)------------------------------
% 0.20/0.56 % (12067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (12065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (12065)Termination reason: Unknown
% 0.20/0.57 % (12065)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (12065)Memory used [KB]: 1663
% 0.20/0.57 % (12065)Time elapsed: 0.165 s
% 0.20/0.57 % (12065)Instructions burned: 15 (million)
% 0.20/0.57 % (12065)------------------------------
% 0.20/0.57 % (12065)------------------------------
% 0.20/0.57 % (12066)Instruction limit reached!
% 0.20/0.57 % (12066)------------------------------
% 0.20/0.57 % (12066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (12079)Instruction limit reached!
% 0.20/0.57 % (12079)------------------------------
% 0.20/0.57 % (12079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (12071)Instruction limit reached!
% 0.20/0.57 % (12071)------------------------------
% 0.20/0.57 % (12071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (12071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (12071)Termination reason: Unknown
% 0.20/0.57 % (12071)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (12071)Memory used [KB]: 6140
% 0.20/0.57 % (12071)Time elapsed: 0.149 s
% 0.20/0.57 % (12071)Instructions burned: 7 (million)
% 0.20/0.57 % (12071)------------------------------
% 0.20/0.57 % (12071)------------------------------
% 0.20/0.57 % (12079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (12079)Termination reason: Unknown
% 0.20/0.57 % (12079)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (12079)Memory used [KB]: 6268
% 0.20/0.57 % (12079)Time elapsed: 0.170 s
% 0.20/0.57 % (12079)Instructions burned: 12 (million)
% 0.20/0.57 % (12079)------------------------------
% 0.20/0.57 % (12079)------------------------------
% 0.20/0.57 % (12072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (12072)Termination reason: Unknown
% 0.20/0.57 % (12072)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (12072)Memory used [KB]: 1918
% 0.20/0.57 % (12072)Time elapsed: 0.154 s
% 0.20/0.57 % (12072)Instructions burned: 17 (million)
% 0.20/0.57 % (12072)------------------------------
% 0.20/0.57 % (12072)------------------------------
% 0.20/0.58 % (12087)Instruction limit reached!
% 0.20/0.58 % (12087)------------------------------
% 0.20/0.58 % (12087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (12067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (12067)Termination reason: Unknown
% 0.20/0.58 % (12067)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (12067)Memory used [KB]: 6524
% 0.20/0.58 % (12067)Time elapsed: 0.169 s
% 0.20/0.58 % (12067)Instructions burned: 39 (million)
% 0.20/0.58 % (12067)------------------------------
% 0.20/0.58 % (12067)------------------------------
% 0.20/0.58 % (12066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (12066)Termination reason: Unknown
% 0.20/0.58 % (12066)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (12066)Memory used [KB]: 6268
% 0.20/0.58 % (12066)Time elapsed: 0.124 s
% 0.20/0.58 % (12066)Instructions burned: 39 (million)
% 0.20/0.58 % (12066)------------------------------
% 0.20/0.58 % (12066)------------------------------
% 0.20/0.58 % (12080)Instruction limit reached!
% 0.20/0.58 % (12080)------------------------------
% 0.20/0.58 % (12080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (12089)Instruction limit reached!
% 0.20/0.59 % (12089)------------------------------
% 0.20/0.59 % (12089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (12080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (12087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (12080)Termination reason: Unknown
% 0.20/0.59 % (12087)Termination reason: Unknown
% 0.20/0.59 % (12080)Termination phase: Saturation
% 0.20/0.59 % (12087)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59
% 0.20/0.59 % (12080)Memory used [KB]: 6396
% 0.20/0.59 % (12087)Memory used [KB]: 6524
% 0.20/0.59 % (12080)Time elapsed: 0.193 s
% 0.20/0.59 % (12087)Time elapsed: 0.168 s
% 0.20/0.59 % (12080)Instructions burned: 32 (million)
% 0.20/0.59 % (12087)Instructions burned: 26 (million)
% 0.20/0.59 % (12080)------------------------------
% 0.20/0.59 % (12080)------------------------------
% 0.20/0.59 % (12087)------------------------------
% 0.20/0.59 % (12087)------------------------------
% 1.90/0.59 % (12069)Instruction limit reached!
% 1.90/0.59 % (12069)------------------------------
% 1.90/0.59 % (12069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.59 % (12069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.59 % (12069)Termination reason: Unknown
% 1.90/0.59 % (12069)Termination phase: Saturation
% 1.90/0.59
% 1.90/0.59 % (12069)Memory used [KB]: 6524
% 1.90/0.59 % (12069)Time elapsed: 0.148 s
% 1.90/0.59 % (12069)Instructions burned: 33 (million)
% 1.90/0.59 % (12069)------------------------------
% 1.90/0.59 % (12069)------------------------------
% 1.90/0.60 % (12089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60 % (12089)Termination reason: Unknown
% 1.90/0.60 % (12089)Termination phase: Saturation
% 1.90/0.60
% 1.90/0.60 % (12089)Memory used [KB]: 6396
% 1.90/0.60 % (12089)Time elapsed: 0.189 s
% 1.90/0.60 % (12089)Instructions burned: 26 (million)
% 1.90/0.60 % (12089)------------------------------
% 1.90/0.60 % (12089)------------------------------
% 1.90/0.60 % (12083)Instruction limit reached!
% 1.90/0.60 % (12083)------------------------------
% 1.90/0.60 % (12083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.90/0.60 % (12083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.90/0.60 % (12083)Termination reason: Unknown
% 1.90/0.60 % (12083)Termination phase: Saturation
% 1.90/0.60
% 1.90/0.60 % (12083)Memory used [KB]: 1791
% 1.90/0.60 % (12083)Time elapsed: 0.185 s
% 1.90/0.60 % (12083)Instructions burned: 45 (million)
% 1.90/0.60 % (12083)------------------------------
% 1.90/0.60 % (12083)------------------------------
% 2.10/0.62 % (12068)Instruction limit reached!
% 2.10/0.62 % (12068)------------------------------
% 2.10/0.62 % (12068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.62 % (12073)Instruction limit reached!
% 2.10/0.62 % (12073)------------------------------
% 2.10/0.62 % (12073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.62 % (12073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.62 % (12073)Termination reason: Unknown
% 2.10/0.62 % (12073)Termination phase: Saturation
% 2.10/0.62
% 2.10/0.62 % (12073)Memory used [KB]: 6780
% 2.10/0.62 % (12073)Time elapsed: 0.219 s
% 2.10/0.62 % (12073)Instructions burned: 52 (million)
% 2.10/0.62 % (12073)------------------------------
% 2.10/0.62 % (12073)------------------------------
% 2.23/0.64 % (12084)Instruction limit reached!
% 2.23/0.64 % (12084)------------------------------
% 2.23/0.64 % (12084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64 % (12076)Instruction limit reached!
% 2.23/0.64 % (12076)------------------------------
% 2.23/0.64 % (12076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64 % (12068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64 % (12068)Termination reason: Unknown
% 2.23/0.64 % (12068)Termination phase: Saturation
% 2.23/0.64
% 2.23/0.64 % (12068)Memory used [KB]: 6780
% 2.23/0.64 % (12068)Time elapsed: 0.199 s
% 2.23/0.64 % (12068)Instructions burned: 49 (million)
% 2.23/0.64 % (12068)------------------------------
% 2.23/0.64 % (12068)------------------------------
% 2.23/0.64 % (12082)Instruction limit reached!
% 2.23/0.64 % (12082)------------------------------
% 2.23/0.64 % (12082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.64 % (12082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64 % (12082)Termination reason: Unknown
% 2.23/0.64 % (12082)Termination phase: Saturation
% 2.23/0.64
% 2.23/0.64 % (12082)Memory used [KB]: 7675
% 2.23/0.64 % (12082)Time elapsed: 0.202 s
% 2.23/0.64 % (12082)Instructions burned: 83 (million)
% 2.23/0.64 % (12082)------------------------------
% 2.23/0.64 % (12082)------------------------------
% 2.23/0.64 % (12076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.64 % (12076)Termination reason: Unknown
% 2.23/0.64 % (12076)Termination phase: Saturation
% 2.23/0.64
% 2.23/0.64 % (12076)Memory used [KB]: 6780
% 2.23/0.64 % (12076)Time elapsed: 0.234 s
% 2.23/0.64 % (12076)Instructions burned: 50 (million)
% 2.23/0.64 % (12076)------------------------------
% 2.23/0.64 % (12076)------------------------------
% 2.23/0.65 % (12090)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.23/0.65 % (12084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.65 % (12084)Termination reason: Unknown
% 2.23/0.65 % (12084)Termination phase: Saturation
% 2.23/0.65
% 2.23/0.65 % (12084)Memory used [KB]: 6780
% 2.23/0.65 % (12084)Time elapsed: 0.228 s
% 2.23/0.65 % (12084)Instructions burned: 51 (million)
% 2.23/0.65 % (12084)------------------------------
% 2.23/0.65 % (12084)------------------------------
% 2.23/0.66 % (12091)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.23/0.66 % (12093)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.23/0.67 % (12090)Refutation not found, incomplete strategy% (12090)------------------------------
% 2.23/0.67 % (12090)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.67 % (12090)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.67 % (12090)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.67
% 2.23/0.67 % (12090)Memory used [KB]: 6012
% 2.23/0.67 % (12090)Time elapsed: 0.121 s
% 2.23/0.67 % (12090)Instructions burned: 2 (million)
% 2.23/0.67 % (12090)------------------------------
% 2.23/0.67 % (12090)------------------------------
% 2.23/0.67 % (12092)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.23/0.68 % (12097)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.23/0.68 % (12094)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.23/0.68 % (12091)Instruction limit reached!
% 2.23/0.68 % (12091)------------------------------
% 2.23/0.68 % (12091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.68 % (12091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.68 % (12091)Termination reason: Unknown
% 2.23/0.68 % (12091)Termination phase: Saturation
% 2.23/0.68
% 2.23/0.68 % (12091)Memory used [KB]: 10490
% 2.23/0.68 % (12091)Time elapsed: 0.101 s
% 2.23/0.68 % (12091)Instructions burned: 8 (million)
% 2.23/0.68 % (12091)------------------------------
% 2.23/0.68 % (12091)------------------------------
% 2.23/0.68 % (12100)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.23/0.69 % (12095)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.23/0.69 % (12096)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.23/0.69 % (12096)Refutation not found, incomplete strategy% (12096)------------------------------
% 2.23/0.69 % (12096)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.69 % (12096)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.69 % (12096)Termination reason: Refutation not found, incomplete strategy
% 2.23/0.69
% 2.23/0.69 % (12096)Memory used [KB]: 6012
% 2.23/0.69 % (12096)Time elapsed: 0.117 s
% 2.23/0.69 % (12096)Instructions burned: 6 (million)
% 2.23/0.69 % (12096)------------------------------
% 2.23/0.69 % (12096)------------------------------
% 2.23/0.70 % (12081)Instruction limit reached!
% 2.23/0.70 % (12081)------------------------------
% 2.23/0.70 % (12081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70 % (12081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (12081)Termination reason: Unknown
% 2.23/0.70 % (12081)Termination phase: Saturation
% 2.23/0.70
% 2.23/0.70 % (12081)Memory used [KB]: 7419
% 2.23/0.70 % (12081)Time elapsed: 0.284 s
% 2.23/0.70 % (12081)Instructions burned: 99 (million)
% 2.23/0.70 % (12081)------------------------------
% 2.23/0.70 % (12081)------------------------------
% 2.23/0.70 % (12086)Refutation not found, non-redundant clauses discarded% (12086)------------------------------
% 2.23/0.70 % (12086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.70 % (12086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.70 % (12086)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.23/0.70
% 2.23/0.70 % (12086)Memory used [KB]: 7036
% 2.23/0.70 % (12086)Time elapsed: 0.308 s
% 2.23/0.70 % (12086)Instructions burned: 97 (million)
% 2.23/0.70 % (12086)------------------------------
% 2.23/0.70 % (12086)------------------------------
% 2.23/0.71 % (12101)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.23/0.71 % (12104)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.23/0.71 % (12098)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.23/0.71 % (12106)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.23/0.71 % (12099)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.23/0.71 % (12085)Instruction limit reached!
% 2.23/0.71 % (12085)------------------------------
% 2.23/0.71 % (12085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.23/0.71 % (12085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.23/0.71 % (12085)Termination reason: Unknown
% 2.23/0.71 % (12085)Termination phase: Saturation
% 2.23/0.71
% 2.23/0.71 % (12085)Memory used [KB]: 6780
% 2.23/0.71 % (12085)Time elapsed: 0.323 s
% 2.23/0.71 % (12085)Instructions burned: 95 (million)
% 2.23/0.71 % (12085)------------------------------
% 2.23/0.71 % (12085)------------------------------
% 2.68/0.72 % (12109)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.68/0.72 % (12103)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.68/0.72 % (12102)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.68/0.72 % (12105)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.68/0.73 % (12107)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.68/0.74 % (12110)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.68/0.74 % (12110)Refutation not found, incomplete strategy% (12110)------------------------------
% 2.68/0.74 % (12110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.74 % (12110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.74 % (12110)Termination reason: Refutation not found, incomplete strategy
% 2.68/0.74
% 2.68/0.74 % (12110)Memory used [KB]: 6012
% 2.68/0.74 % (12110)Time elapsed: 0.104 s
% 2.68/0.74 % (12110)Instructions burned: 2 (million)
% 2.68/0.74 % (12110)------------------------------
% 2.68/0.74 % (12110)------------------------------
% 2.68/0.75 % (12112)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.68/0.75 % (12108)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.68/0.75 % (12105)Instruction limit reached!
% 2.68/0.75 % (12105)------------------------------
% 2.68/0.75 % (12105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.75 % (12105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.75 % (12105)Termination reason: Unknown
% 2.68/0.75 % (12105)Termination phase: Saturation
% 2.68/0.75
% 2.68/0.75 % (12105)Memory used [KB]: 6268
% 2.68/0.75 % (12105)Time elapsed: 0.154 s
% 2.68/0.75 % (12105)Instructions burned: 15 (million)
% 2.68/0.75 % (12105)------------------------------
% 2.68/0.75 % (12105)------------------------------
% 2.68/0.76 % (12111)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/237Mi)
% 2.68/0.76 % (12114)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.68/0.76 % (12112)Instruction limit reached!
% 2.68/0.76 % (12112)------------------------------
% 2.68/0.76 % (12112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76 % (12112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76 % (12112)Termination reason: Unknown
% 2.68/0.76 % (12112)Termination phase: Saturation
% 2.68/0.76
% 2.68/0.76 % (12112)Memory used [KB]: 6140
% 2.68/0.76 % (12112)Time elapsed: 0.017 s
% 2.68/0.76 % (12112)Instructions burned: 10 (million)
% 2.68/0.76 % (12112)------------------------------
% 2.68/0.76 % (12112)------------------------------
% 2.68/0.76 % (12097)Instruction limit reached!
% 2.68/0.76 % (12097)------------------------------
% 2.68/0.76 % (12097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76 % (12097)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76 % (12097)Termination reason: Unknown
% 2.68/0.76 % (12097)Termination phase: Saturation
% 2.68/0.76
% 2.68/0.76 % (12097)Memory used [KB]: 6780
% 2.68/0.76 % (12097)Time elapsed: 0.181 s
% 2.68/0.76 % (12097)Instructions burned: 43 (million)
% 2.68/0.76 % (12097)------------------------------
% 2.68/0.76 % (12097)------------------------------
% 2.68/0.76 % (12109)Instruction limit reached!
% 2.68/0.76 % (12109)------------------------------
% 2.68/0.76 % (12109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76 % (12109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76 % (12109)Termination reason: Unknown
% 2.68/0.76 % (12109)Termination phase: Saturation
% 2.68/0.76
% 2.68/0.76 % (12109)Memory used [KB]: 6396
% 2.68/0.76 % (12109)Time elapsed: 0.113 s
% 2.68/0.76 % (12109)Instructions burned: 19 (million)
% 2.68/0.76 % (12109)------------------------------
% 2.68/0.76 % (12109)------------------------------
% 2.68/0.76 % (12106)Instruction limit reached!
% 2.68/0.76 % (12106)------------------------------
% 2.68/0.76 % (12106)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76 % (12106)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76 % (12106)Termination reason: Unknown
% 2.68/0.76 % (12106)Termination phase: Saturation
% 2.68/0.76
% 2.68/0.76 % (12106)Memory used [KB]: 6396
% 2.68/0.76 % (12106)Time elapsed: 0.144 s
% 2.68/0.76 % (12106)Instructions burned: 32 (million)
% 2.68/0.76 % (12106)------------------------------
% 2.68/0.76 % (12106)------------------------------
% 2.68/0.76 % (12098)Instruction limit reached!
% 2.68/0.76 % (12098)------------------------------
% 2.68/0.76 % (12098)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.76 % (12098)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.76 % (12098)Termination reason: Unknown
% 2.68/0.76 % (12098)Termination phase: Saturation
% 2.68/0.76
% 2.68/0.76 % (12098)Memory used [KB]: 6268
% 2.68/0.76 % (12098)Time elapsed: 0.169 s
% 2.68/0.76 % (12098)Instructions burned: 32 (million)
% 2.68/0.76 % (12098)------------------------------
% 2.68/0.76 % (12098)------------------------------
% 2.68/0.78 % (12114)Instruction limit reached!
% 2.68/0.78 % (12114)------------------------------
% 2.68/0.78 % (12114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.78 % (12114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.78 % (12114)Termination reason: Unknown
% 2.68/0.78 % (12114)Termination phase: Saturation
% 2.68/0.78
% 2.68/0.78 % (12114)Memory used [KB]: 6268
% 2.68/0.78 % (12114)Time elapsed: 0.024 s
% 2.68/0.78 % (12114)Instructions burned: 21 (million)
% 2.68/0.78 % (12114)------------------------------
% 2.68/0.78 % (12114)------------------------------
% 3.18/0.78 % (12115)lrs+2_1:1_ep=R:fde=none:lcm=reverse:nwc=5.0:sos=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/97Mi)
% 3.18/0.79 % (12113)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 3.18/0.79 % (12113)Refutation not found, incomplete strategy% (12113)------------------------------
% 3.18/0.79 % (12113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79 % (12113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79 % (12113)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.79
% 3.18/0.79 % (12113)Memory used [KB]: 6012
% 3.18/0.79 % (12113)Time elapsed: 0.115 s
% 3.18/0.79 % (12113)Instructions burned: 6 (million)
% 3.18/0.79 % (12113)------------------------------
% 3.18/0.79 % (12113)------------------------------
% 3.18/0.79 % (12095)Instruction limit reached!
% 3.18/0.79 % (12095)------------------------------
% 3.18/0.79 % (12095)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79 % (12095)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79 % (12095)Termination reason: Unknown
% 3.18/0.79 % (12095)Termination phase: Saturation
% 3.18/0.79
% 3.18/0.79 % (12095)Memory used [KB]: 6268
% 3.18/0.79 % (12095)Time elapsed: 0.183 s
% 3.18/0.79 % (12095)Instructions burned: 58 (million)
% 3.18/0.79 % (12095)------------------------------
% 3.18/0.79 % (12095)------------------------------
% 3.18/0.79 % (12093)Instruction limit reached!
% 3.18/0.79 % (12093)------------------------------
% 3.18/0.79 % (12093)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.79 % (12093)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.79 % (12093)Termination reason: Unknown
% 3.18/0.79 % (12093)Termination phase: Saturation
% 3.18/0.79
% 3.18/0.79 % (12093)Memory used [KB]: 2430
% 3.18/0.79 % (12093)Time elapsed: 0.216 s
% 3.18/0.79 % (12093)Instructions burned: 69 (million)
% 3.18/0.79 % (12093)------------------------------
% 3.18/0.79 % (12093)------------------------------
% 3.18/0.81 % (12116)lrs+10_1:1_av=off:sd=2:sos=on:ss=axioms:st=1.5:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 3.18/0.81 % (12117)dis+1011_1:1_nwc=3.0:sd=1:spb=goal_then_units:ss=included:to=lpo:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/138Mi)
% 3.18/0.81 % (12100)Instruction limit reached!
% 3.18/0.81 % (12100)------------------------------
% 3.18/0.81 % (12100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.81 % (12100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.81 % (12100)Termination reason: Unknown
% 3.18/0.81 % (12100)Termination phase: Saturation
% 3.18/0.81
% 3.18/0.81 % (12100)Memory used [KB]: 6524
% 3.18/0.81 % (12100)Time elapsed: 0.193 s
% 3.18/0.81 % (12100)Instructions burned: 84 (million)
% 3.18/0.81 % (12100)------------------------------
% 3.18/0.81 % (12100)------------------------------
% 3.18/0.81 % (12092)Instruction limit reached!
% 3.18/0.81 % (12092)------------------------------
% 3.18/0.81 % (12092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.81 % (12092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.81 % (12092)Termination reason: Unknown
% 3.18/0.81 % (12092)Termination phase: Saturation
% 3.18/0.81
% 3.18/0.81 % (12092)Memory used [KB]: 6524
% 3.18/0.81 % (12092)Time elapsed: 0.245 s
% 3.18/0.81 % (12092)Instructions burned: 87 (million)
% 3.18/0.81 % (12092)------------------------------
% 3.18/0.81 % (12092)------------------------------
% 3.18/0.82 % (12118)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=393:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/393Mi)
% 3.18/0.82 % (12104)First to succeed.
% 3.18/0.82 % (12108)Instruction limit reached!
% 3.18/0.82 % (12108)------------------------------
% 3.18/0.82 % (12108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.82 % (12108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.82 % (12108)Termination reason: Unknown
% 3.18/0.82 % (12108)Termination phase: Saturation
% 3.18/0.82
% 3.18/0.82 % (12108)Memory used [KB]: 6396
% 3.18/0.82 % (12108)Time elapsed: 0.211 s
% 3.18/0.82 % (12108)Instructions burned: 67 (million)
% 3.18/0.82 % (12108)------------------------------
% 3.18/0.82 % (12108)------------------------------
% 3.18/0.83 % (12119)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 3.18/0.84 % (12120)dis+1004_1:1_br=off:fsd=on:urr=ec_only:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/93Mi)
% 3.18/0.84 % (12099)Instruction limit reached!
% 3.18/0.84 % (12099)------------------------------
% 3.18/0.84 % (12099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.84 % (12099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.84 % (12099)Termination reason: Unknown
% 3.18/0.84 % (12099)Termination phase: Saturation
% 3.18/0.84
% 3.18/0.84 % (12099)Memory used [KB]: 7803
% 3.18/0.84 % (12099)Time elapsed: 0.246 s
% 3.18/0.84 % (12099)Instructions burned: 69 (million)
% 3.18/0.84 % (12099)------------------------------
% 3.18/0.84 % (12099)------------------------------
% 3.18/0.85 % (12120)Refutation not found, incomplete strategy% (12120)------------------------------
% 3.18/0.85 % (12120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.85 % (12120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.85 % (12120)Termination reason: Refutation not found, incomplete strategy
% 3.18/0.85
% 3.18/0.85 % (12120)Memory used [KB]: 6140
% 3.18/0.85 % (12120)Time elapsed: 0.110 s
% 3.18/0.85 % (12120)Instructions burned: 7 (million)
% 3.18/0.85 % (12120)------------------------------
% 3.18/0.85 % (12120)------------------------------
% 3.18/0.85 % (12104)Refutation found. Thanks to Tanya!
% 3.18/0.85 % SZS status Theorem for theBenchmark
% 3.18/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 3.18/0.85 % (12104)------------------------------
% 3.18/0.85 % (12104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.85 % (12104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.85 % (12104)Termination reason: Refutation
% 3.18/0.85
% 3.18/0.85 % (12104)Memory used [KB]: 7164
% 3.18/0.85 % (12104)Time elapsed: 0.212 s
% 3.18/0.85 % (12104)Instructions burned: 61 (million)
% 3.18/0.85 % (12104)------------------------------
% 3.18/0.85 % (12104)------------------------------
% 3.18/0.85 % (12059)Success in time 0.494 s
%------------------------------------------------------------------------------