TSTP Solution File: GRA012+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRA012+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 : n004.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 16:13:22 EDT 2022
% Result : Theorem 2.84s 0.89s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 39
% Syntax : Number of formulae : 227 ( 11 unt; 0 def)
% Number of atoms : 851 ( 193 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1049 ( 425 ~; 417 |; 140 &)
% ( 31 <=>; 31 =>; 0 <=; 5 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 36 ( 34 usr; 24 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-3 aty)
% Number of variables : 342 ( 309 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2235,plain,
$false,
inference(avatar_sat_refutation,[],[f158,f163,f167,f172,f216,f242,f252,f254,f256,f274,f696,f706,f746,f921,f967,f1060,f1065,f1070,f1491,f1519,f1690,f1710,f2016,f2228]) ).
fof(f2228,plain,
( ~ spl11_4
| ~ spl11_5
| ~ spl11_48
| ~ spl11_159 ),
inference(avatar_contradiction_clause,[],[f2227]) ).
fof(f2227,plain,
( $false
| ~ spl11_4
| ~ spl11_5
| ~ spl11_48
| ~ spl11_159 ),
inference(subsumption_resolution,[],[f2226,f521]) ).
fof(f521,plain,
( sequential(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),sK9(sK7))
| ~ spl11_48 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl11_48
<=> sequential(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_48])]) ).
fof(f2226,plain,
( ~ sequential(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),sK9(sK7))
| ~ spl11_4
| ~ spl11_5
| ~ spl11_159 ),
inference(subsumption_resolution,[],[f2225,f166]) ).
fof(f166,plain,
( ! [X4] : ~ triangle(sK9(sK7),sK8(sK7),X4)
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f165,plain,
( spl11_4
<=> ! [X4] : ~ triangle(sK9(sK7),sK8(sK7),X4) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).
fof(f2225,plain,
( triangle(sK9(sK7),sK8(sK7),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ sequential(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),sK9(sK7))
| ~ spl11_5
| ~ spl11_159 ),
inference(subsumption_resolution,[],[f2212,f171]) ).
fof(f171,plain,
( sequential(sK9(sK7),sK8(sK7))
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f169,plain,
( spl11_5
<=> sequential(sK9(sK7),sK8(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).
fof(f2212,plain,
( ~ sequential(sK9(sK7),sK8(sK7))
| triangle(sK9(sK7),sK8(sK7),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ sequential(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),sK9(sK7))
| ~ spl11_5
| ~ spl11_159 ),
inference(resolution,[],[f1504,f187]) ).
fof(f187,plain,
( ! [X2,X1] :
( ~ sequential(X1,X2)
| ~ sequential(X2,sK9(sK7))
| triangle(sK9(sK7),X1,X2)
| ~ sequential(sK9(sK7),X1) )
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f186,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ sequential(X1,X0)
| edge(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( sequential(X1,X0)
| ~ edge(X1)
| tail_of(X0) != head_of(X1)
| X0 = X1
| ~ edge(X0) )
& ( ( edge(X1)
& tail_of(X0) = head_of(X1)
& X0 != X1
& edge(X0) )
| ~ sequential(X1,X0) ) ),
inference(flattening,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( sequential(X1,X0)
| ~ edge(X1)
| tail_of(X0) != head_of(X1)
| X0 = X1
| ~ edge(X0) )
& ( ( edge(X1)
& tail_of(X0) = head_of(X1)
& X0 != X1
& edge(X0) )
| ~ sequential(X1,X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( sequential(X1,X0)
<=> ( edge(X1)
& tail_of(X0) = head_of(X1)
& X0 != X1
& edge(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X7,X6] :
( ( X6 != X7
& edge(X6)
& edge(X7)
& head_of(X6) = tail_of(X7) )
<=> sequential(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_defn) ).
fof(f186,plain,
( ! [X2,X1] :
( ~ sequential(X1,X2)
| triangle(sK9(sK7),X1,X2)
| ~ sequential(sK9(sK7),X1)
| ~ sequential(X2,sK9(sK7))
| ~ edge(X1) )
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f184,f111]) ).
fof(f184,plain,
( ! [X2,X1] :
( ~ sequential(X2,sK9(sK7))
| ~ edge(X2)
| ~ sequential(X1,X2)
| ~ sequential(sK9(sK7),X1)
| triangle(sK9(sK7),X1,X2)
| ~ edge(X1) )
| ~ spl11_5 ),
inference(resolution,[],[f177,f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ edge(X2)
| ~ edge(X1)
| ~ edge(X0)
| ~ sequential(X2,X1)
| ~ sequential(X0,X2)
| ~ sequential(X1,X0)
| triangle(X2,X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ~ edge(X0)
| ~ sequential(X0,X2)
| ~ edge(X2)
| ~ sequential(X2,X1)
| triangle(X2,X1,X0)
| ~ edge(X1)
| ~ sequential(X1,X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X0,X2,X1] :
( ~ edge(X0)
| ~ sequential(X0,X1)
| ~ edge(X1)
| ~ sequential(X1,X2)
| triangle(X1,X2,X0)
| ~ edge(X2)
| ~ sequential(X2,X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( triangle(X1,X2,X0)
| ~ sequential(X0,X1)
| ~ sequential(X2,X0)
| ~ sequential(X1,X2)
| ~ edge(X2)
| ~ edge(X0)
| ~ edge(X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( sequential(X0,X1)
& sequential(X2,X0)
& sequential(X1,X2)
& edge(X2)
& edge(X0)
& edge(X1) )
=> triangle(X1,X2,X0) ),
inference(unused_predicate_definition_removal,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( sequential(X0,X1)
& sequential(X2,X0)
& sequential(X1,X2)
& edge(X2)
& edge(X0)
& edge(X1) )
<=> triangle(X1,X2,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X8,X6,X7] :
( triangle(X6,X7,X8)
<=> ( edge(X6)
& edge(X7)
& sequential(X6,X7)
& sequential(X8,X6)
& sequential(X7,X8)
& edge(X8) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangle_defn) ).
fof(f177,plain,
( edge(sK9(sK7))
| ~ spl11_5 ),
inference(resolution,[],[f171,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sequential(X1,X0)
| edge(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f1504,plain,
( sequential(sK8(sK7),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_159 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1503,plain,
( spl11_159
<=> sequential(sK8(sK7),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_159])]) ).
fof(f2016,plain,
( spl11_159
| ~ spl11_5
| spl11_50
| ~ spl11_78
| ~ spl11_120 ),
inference(avatar_split_clause,[],[f2007,f1067,f693,f528,f169,f1503]) ).
fof(f528,plain,
( spl11_50
<=> sK8(sK7) = sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_50])]) ).
fof(f693,plain,
( spl11_78
<=> edge(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_78])]) ).
fof(f1067,plain,
( spl11_120
<=> head_of(sK8(sK7)) = tail_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_120])]) ).
fof(f2007,plain,
( sequential(sK8(sK7),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_5
| spl11_50
| ~ spl11_78
| ~ spl11_120 ),
inference(subsumption_resolution,[],[f2002,f529]) ).
fof(f529,plain,
( sK8(sK7) != sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))
| spl11_50 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f2002,plain,
( sK8(sK7) = sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))
| sequential(sK8(sK7),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_5
| ~ spl11_78
| ~ spl11_120 ),
inference(trivial_inequality_removal,[],[f1995]) ).
fof(f1995,plain,
( sequential(sK8(sK7),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| head_of(sK8(sK7)) != head_of(sK8(sK7))
| sK8(sK7) = sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))
| ~ spl11_5
| ~ spl11_78
| ~ spl11_120 ),
inference(resolution,[],[f1993,f179]) ).
fof(f179,plain,
( edge(sK8(sK7))
| ~ spl11_5 ),
inference(resolution,[],[f171,f111]) ).
fof(f1993,plain,
( ! [X2] :
( ~ edge(X2)
| sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))) = X2
| sequential(X2,sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| head_of(sK8(sK7)) != head_of(X2) )
| ~ spl11_78
| ~ spl11_120 ),
inference(forward_demodulation,[],[f964,f1069]) ).
fof(f1069,plain,
( head_of(sK8(sK7)) = tail_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_120 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f964,plain,
( ! [X2] :
( sequential(X2,sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| head_of(X2) != tail_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))) = X2
| ~ edge(X2) )
| ~ spl11_78 ),
inference(resolution,[],[f695,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ edge(X0)
| tail_of(X0) != head_of(X1)
| ~ edge(X1)
| X0 = X1
| sequential(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f695,plain,
( edge(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_78 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f1710,plain,
( spl11_16
| ~ spl11_49
| ~ spl11_119 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1709,plain,
( $false
| spl11_16
| ~ spl11_49
| ~ spl11_119 ),
inference(subsumption_resolution,[],[f1703,f273]) ).
fof(f273,plain,
( head_of(sK8(sK7)) != tail_of(sK9(sK7))
| spl11_16 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl11_16
<=> head_of(sK8(sK7)) = tail_of(sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_16])]) ).
fof(f1703,plain,
( head_of(sK8(sK7)) = tail_of(sK9(sK7))
| ~ spl11_49
| ~ spl11_119 ),
inference(superposition,[],[f1064,f524]) ).
fof(f524,plain,
( head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) = tail_of(sK9(sK7))
| ~ spl11_49 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl11_49
<=> head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) = tail_of(sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_49])]) ).
fof(f1064,plain,
( head_of(sK8(sK7)) = head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_119 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1062,plain,
( spl11_119
<=> head_of(sK8(sK7)) = head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_119])]) ).
fof(f1690,plain,
( ~ spl11_119
| ~ spl11_11
| ~ spl11_118 ),
inference(avatar_split_clause,[],[f1688,f1057,f240,f1062]) ).
fof(f240,plain,
( spl11_11
<=> ! [X4] :
( head_of(sK8(sK7)) != head_of(X4)
| tail_of(sK9(sK7)) != tail_of(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).
fof(f1057,plain,
( spl11_118
<=> tail_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) = tail_of(sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_118])]) ).
fof(f1688,plain,
( head_of(sK8(sK7)) != head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_11
| ~ spl11_118 ),
inference(trivial_inequality_removal,[],[f1686]) ).
fof(f1686,plain,
( tail_of(sK9(sK7)) != tail_of(sK9(sK7))
| head_of(sK8(sK7)) != head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_11
| ~ spl11_118 ),
inference(superposition,[],[f241,f1059]) ).
fof(f1059,plain,
( tail_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) = tail_of(sK9(sK7))
| ~ spl11_118 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f241,plain,
( ! [X4] :
( tail_of(sK9(sK7)) != tail_of(X4)
| head_of(sK8(sK7)) != head_of(X4) )
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f1519,plain,
( spl11_15
| ~ spl11_48
| ~ spl11_50 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1518,plain,
( $false
| spl11_15
| ~ spl11_48
| ~ spl11_50 ),
inference(subsumption_resolution,[],[f1513,f268]) ).
fof(f268,plain,
( ~ sequential(sK8(sK7),sK9(sK7))
| spl11_15 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f267,plain,
( spl11_15
<=> sequential(sK8(sK7),sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_15])]) ).
fof(f1513,plain,
( sequential(sK8(sK7),sK9(sK7))
| ~ spl11_48
| ~ spl11_50 ),
inference(superposition,[],[f521,f530]) ).
fof(f530,plain,
( sK8(sK7) = sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))
| ~ spl11_50 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f1491,plain,
( ~ spl11_5
| spl11_7
| ~ spl11_47
| ~ spl11_80 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1490,plain,
( $false
| ~ spl11_5
| spl11_7
| ~ spl11_47
| ~ spl11_80 ),
inference(subsumption_resolution,[],[f1489,f213]) ).
fof(f213,plain,
( head_of(sK8(sK7)) != head_of(sK9(sK7))
| spl11_7 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f211,plain,
( spl11_7
<=> head_of(sK8(sK7)) = head_of(sK9(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).
fof(f1489,plain,
( head_of(sK8(sK7)) = head_of(sK9(sK7))
| ~ spl11_5
| ~ spl11_47
| ~ spl11_80 ),
inference(subsumption_resolution,[],[f1484,f181]) ).
fof(f181,plain,
( tail_of(sK9(sK7)) != head_of(sK9(sK7))
| ~ spl11_5 ),
inference(resolution,[],[f177,f88]) ).
fof(f88,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ~ edge(X0)
| head_of(X0) != tail_of(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(f1484,plain,
( tail_of(sK9(sK7)) = head_of(sK9(sK7))
| head_of(sK8(sK7)) = head_of(sK9(sK7))
| ~ spl11_47
| ~ spl11_80 ),
inference(resolution,[],[f1480,f125]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| head_of(X1) = X0
| head_of(X1) = X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,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 ) ) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X2,X0] :
( ( ( head_of(X2) != X1
| tail_of(X2) != X0
| head_of(X2) != X0
| tail_of(X2) != X1 )
& ( ( head_of(X2) = X1
& tail_of(X2) = X0 )
| ( head_of(X2) = X0
& tail_of(X2) = X1 ) ) )
| ~ sP2(X1,X2,X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X1,X2,X0] :
( ( ( head_of(X2) != X1
| tail_of(X2) != X0
| head_of(X2) != X0
| tail_of(X2) != X1 )
& ( ( head_of(X2) = X1
& tail_of(X2) = X0 )
| ( head_of(X2) = X0
& tail_of(X2) = X1 ) ) )
| ~ sP2(X1,X2,X0) ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X1,X2,X0] :
( ( ( head_of(X2) = X0
& tail_of(X2) = X1 )
<~> ( head_of(X2) = X1
& tail_of(X2) = X0 ) )
| ~ sP2(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1480,plain,
( sP2(head_of(sK8(sK7)),sK9(sK7),tail_of(sK9(sK7)))
| ~ spl11_47
| ~ spl11_80 ),
inference(superposition,[],[f705,f517]) ).
fof(f517,plain,
( sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))) = sK9(sK7)
| ~ spl11_47 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f515,plain,
( spl11_47
<=> sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))) = sK9(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_47])]) ).
fof(f705,plain,
( sP2(head_of(sK8(sK7)),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),tail_of(sK9(sK7)))
| ~ spl11_80 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f703,plain,
( spl11_80
<=> sP2(head_of(sK8(sK7)),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),tail_of(sK9(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_80])]) ).
fof(f1070,plain,
( spl11_119
| spl11_120
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f1055,f703,f1067,f1062]) ).
fof(f1055,plain,
( head_of(sK8(sK7)) = tail_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| head_of(sK8(sK7)) = head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| ~ spl11_80 ),
inference(resolution,[],[f705,f124]) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| head_of(X1) = X0
| tail_of(X1) = X0 ),
inference(cnf_transformation,[],[f83]) ).
fof(f1065,plain,
( spl11_49
| spl11_119
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f1054,f703,f1062,f523]) ).
fof(f1054,plain,
( head_of(sK8(sK7)) = head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) = tail_of(sK9(sK7))
| ~ spl11_80 ),
inference(resolution,[],[f705,f125]) ).
fof(f1060,plain,
( spl11_49
| spl11_118
| ~ spl11_80 ),
inference(avatar_split_clause,[],[f1053,f703,f1057,f523]) ).
fof(f1053,plain,
( tail_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) = tail_of(sK9(sK7))
| head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) = tail_of(sK9(sK7))
| ~ spl11_80 ),
inference(resolution,[],[f705,f123]) ).
fof(f123,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| head_of(X1) = X2
| tail_of(X1) = X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f967,plain,
( spl11_48
| ~ spl11_49
| spl11_47
| ~ spl11_5
| ~ spl11_78 ),
inference(avatar_split_clause,[],[f965,f693,f169,f515,f523,f519]) ).
fof(f965,plain,
( sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))) = sK9(sK7)
| head_of(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7)))) != tail_of(sK9(sK7))
| sequential(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),sK9(sK7))
| ~ spl11_5
| ~ spl11_78 ),
inference(resolution,[],[f695,f183]) ).
fof(f183,plain,
( ! [X0] :
( ~ edge(X0)
| sK9(sK7) = X0
| head_of(X0) != tail_of(sK9(sK7))
| sequential(X0,sK9(sK7)) )
| ~ spl11_5 ),
inference(resolution,[],[f177,f115]) ).
fof(f921,plain,
( ~ spl11_2
| ~ spl11_3
| spl11_13
| ~ spl11_15 ),
inference(avatar_contradiction_clause,[],[f920]) ).
fof(f920,plain,
( $false
| ~ spl11_2
| ~ spl11_3
| spl11_13
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f919,f251]) ).
fof(f251,plain,
( ~ precedes(sK8(sK7),sK9(sK7),sK7)
| spl11_13 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f249,plain,
( spl11_13
<=> precedes(sK8(sK7),sK9(sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).
fof(f919,plain,
( precedes(sK8(sK7),sK9(sK7),sK7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f918,f157]) ).
fof(f157,plain,
( on_path(sK8(sK7),sK7)
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f155,plain,
( spl11_2
<=> on_path(sK8(sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).
fof(f918,plain,
( ~ on_path(sK8(sK7),sK7)
| precedes(sK8(sK7),sK9(sK7),sK7)
| ~ spl11_3
| ~ spl11_15 ),
inference(subsumption_resolution,[],[f917,f162]) ).
fof(f162,plain,
( on_path(sK9(sK7),sK7)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f160,plain,
( spl11_3
<=> on_path(sK9(sK7),sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).
fof(f917,plain,
( ~ on_path(sK9(sK7),sK7)
| precedes(sK8(sK7),sK9(sK7),sK7)
| ~ on_path(sK8(sK7),sK7)
| ~ spl11_15 ),
inference(resolution,[],[f749,f137]) ).
fof(f137,plain,
path(sK5,sK6,sK7),
inference(resolution,[],[f136,f100]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| path(X1,X0,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ( path(X1,X0,sK4(X0,X1,X2))
& ~ less_or_equal(length_of(X2),length_of(sK4(X0,X1,X2))) )
| X0 = X1
| ~ path(X1,X0,X2) )
& ( ( ! [X4] :
( ~ path(X1,X0,X4)
| less_or_equal(length_of(X2),length_of(X4)) )
& X0 != X1
& path(X1,X0,X2) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f66,f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ? [X3] :
( path(X1,X0,X3)
& ~ less_or_equal(length_of(X2),length_of(X3)) )
=> ( path(X1,X0,sK4(X0,X1,X2))
& ~ less_or_equal(length_of(X2),length_of(sK4(X0,X1,X2))) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ? [X3] :
( path(X1,X0,X3)
& ~ less_or_equal(length_of(X2),length_of(X3)) )
| X0 = X1
| ~ path(X1,X0,X2) )
& ( ( ! [X4] :
( ~ path(X1,X0,X4)
| less_or_equal(length_of(X2),length_of(X4)) )
& X0 != X1
& path(X1,X0,X2) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X0,X2,X1] :
( ( sP1(X0,X2,X1)
| ? [X3] :
( path(X2,X0,X3)
& ~ less_or_equal(length_of(X1),length_of(X3)) )
| X0 = X2
| ~ path(X2,X0,X1) )
& ( ( ! [X3] :
( ~ path(X2,X0,X3)
| less_or_equal(length_of(X1),length_of(X3)) )
& X0 != X2
& path(X2,X0,X1) )
| ~ sP1(X0,X2,X1) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X2,X1] :
( ( sP1(X0,X2,X1)
| ? [X3] :
( path(X2,X0,X3)
& ~ less_or_equal(length_of(X1),length_of(X3)) )
| X0 = X2
| ~ path(X2,X0,X1) )
& ( ( ! [X3] :
( ~ path(X2,X0,X3)
| less_or_equal(length_of(X1),length_of(X3)) )
& X0 != X2
& path(X2,X0,X1) )
| ~ sP1(X0,X2,X1) ) ),
inference(nnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X2,X1] :
( sP1(X0,X2,X1)
<=> ( ! [X3] :
( ~ path(X2,X0,X3)
| less_or_equal(length_of(X1),length_of(X3)) )
& X0 != X2
& path(X2,X0,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f136,plain,
sP1(sK6,sK5,sK7),
inference(resolution,[],[f109,f105]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X2,X1)
| sP1(X2,X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X2,X1)
| ~ sP1(X2,X0,X1) )
& ( sP1(X2,X0,X1)
| ~ shortest_path(X0,X2,X1) ) ),
inference(rectify,[],[f69]) ).
fof(f69,plain,
! [X2,X1,X0] :
( ( shortest_path(X2,X0,X1)
| ~ sP1(X0,X2,X1) )
& ( sP1(X0,X2,X1)
| ~ shortest_path(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X2,X1,X0] :
( shortest_path(X2,X0,X1)
<=> sP1(X0,X2,X1) ),
inference(definition_folding,[],[f47,f52]) ).
fof(f47,plain,
! [X2,X1,X0] :
( shortest_path(X2,X0,X1)
<=> ( ! [X3] :
( ~ path(X2,X0,X3)
| less_or_equal(length_of(X1),length_of(X3)) )
& X0 != X2
& path(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0,X2] :
( shortest_path(X2,X0,X1)
<=> ( ! [X3] :
( path(X2,X0,X3)
=> less_or_equal(length_of(X1),length_of(X3)) )
& X0 != X2
& path(X2,X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X2,X9,X1] :
( ( 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(f109,plain,
shortest_path(sK5,sK6,sK7),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( complete
& shortest_path(sK5,sK6,sK7)
& minus(length_of(sK7),n1) != number_of_in(triangles,sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f72,f73]) ).
fof(f73,plain,
( ? [X0,X1,X2] :
( shortest_path(X0,X1,X2)
& minus(length_of(X2),n1) != number_of_in(triangles,X2) )
=> ( shortest_path(sK5,sK6,sK7)
& minus(length_of(sK7),n1) != number_of_in(triangles,sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( complete
& ? [X0,X1,X2] :
( shortest_path(X0,X1,X2)
& minus(length_of(X2),n1) != number_of_in(triangles,X2) ) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
( complete
& ? [X1,X2,X0] :
( shortest_path(X1,X2,X0)
& minus(length_of(X0),n1) != number_of_in(triangles,X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
~ ( complete
=> ! [X0,X2,X1] :
( shortest_path(X1,X2,X0)
=> minus(length_of(X0),n1) = number_of_in(triangles,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( complete
=> ! [X3,X1,X2] :
( shortest_path(X1,X2,X3)
=> minus(length_of(X3),n1) = number_of_in(triangles,X3) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( complete
=> ! [X3,X1,X2] :
( shortest_path(X1,X2,X3)
=> minus(length_of(X3),n1) = number_of_in(triangles,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',triangles_on_a_path) ).
fof(f749,plain,
( ! [X2,X0,X1] :
( ~ path(X1,X2,X0)
| ~ on_path(sK9(sK7),X0)
| ~ on_path(sK8(sK7),X0)
| precedes(sK8(sK7),sK9(sK7),X0) )
| ~ spl11_15 ),
inference(resolution,[],[f269,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X4] :
( ~ sequential(X3,X4)
| ~ on_path(X4,X1)
| ~ path(X2,X0,X1)
| ~ on_path(X3,X1)
| precedes(X3,X4,X1) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ! [X5] :
( ~ sequential(X3,X5)
| ~ precedes(X5,X4,X1) )
& ~ sequential(X3,X4) )
| ~ on_path(X4,X1)
| ~ on_path(X3,X1)
| precedes(X3,X4,X1) )
| ~ path(X2,X0,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X2,X1,X0] :
( ! [X4,X3] :
( ( ! [X5] :
( ~ sequential(X4,X5)
| ~ precedes(X5,X3,X1) )
& ~ sequential(X4,X3) )
| ~ on_path(X3,X1)
| ~ on_path(X4,X1)
| precedes(X4,X3,X1) )
| ~ path(X0,X2,X1) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ! [X4,X3] :
( precedes(X4,X3,X1)
| ~ on_path(X4,X1)
| ~ on_path(X3,X1)
| ( ! [X5] :
( ~ sequential(X4,X5)
| ~ precedes(X5,X3,X1) )
& ~ sequential(X4,X3) ) )
| ~ path(X0,X2,X1) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X2,X0,X1] :
( path(X0,X2,X1)
=> ! [X4,X3] :
( ( on_path(X4,X1)
& on_path(X3,X1)
& ( sequential(X4,X3)
| ? [X5] :
( sequential(X4,X5)
& precedes(X5,X3,X1) ) ) )
=> precedes(X4,X3,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X3,X2] :
( path(X1,X2,X3)
=> ! [X7,X6] :
( ( ( ? [X8] :
( sequential(X6,X8)
& precedes(X8,X7,X3) )
| 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(f269,plain,
( sequential(sK8(sK7),sK9(sK7))
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f746,plain,
( ~ spl11_5
| ~ spl11_14 ),
inference(avatar_contradiction_clause,[],[f745]) ).
fof(f745,plain,
( $false
| ~ spl11_5
| ~ spl11_14 ),
inference(subsumption_resolution,[],[f714,f130]) ).
fof(f130,plain,
! [X1] : ~ sequential(X1,X1),
inference(equality_resolution,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( X0 != X1
| ~ sequential(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f714,plain,
( sequential(sK8(sK7),sK8(sK7))
| ~ spl11_5
| ~ spl11_14 ),
inference(superposition,[],[f171,f265]) ).
fof(f265,plain,
( sK8(sK7) = sK9(sK7)
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f263,plain,
( spl11_14
<=> sK8(sK7) = sK9(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).
fof(f706,plain,
( spl11_16
| spl11_80
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f464,f169,f703,f271]) ).
fof(f464,plain,
( sP2(head_of(sK8(sK7)),sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))),tail_of(sK9(sK7)))
| head_of(sK8(sK7)) = tail_of(sK9(sK7))
| ~ spl11_5 ),
inference(resolution,[],[f202,f182]) ).
fof(f182,plain,
( vertex(tail_of(sK9(sK7)))
| ~ spl11_5 ),
inference(resolution,[],[f177,f92]) ).
fof(f92,plain,
! [X0] :
( ~ edge(X0)
| vertex(tail_of(X0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ( vertex(head_of(X0))
& vertex(tail_of(X0)) )
| ~ edge(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( edge(X0)
=> ( vertex(head_of(X0))
& vertex(tail_of(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',edge_ends_are_vertices) ).
fof(f202,plain,
( ! [X0] :
( ~ vertex(X0)
| sP2(head_of(sK8(sK7)),sK10(X0,head_of(sK8(sK7))),X0)
| head_of(sK8(sK7)) = X0 )
| ~ spl11_5 ),
inference(resolution,[],[f192,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ vertex(X0)
| X0 = X1
| ~ vertex(X1)
| sP2(X0,sK10(X1,X0),X1) ),
inference(resolution,[],[f110,f127]) ).
fof(f127,plain,
! [X0,X1] :
( ~ complete
| ~ vertex(X0)
| X0 = X1
| ~ vertex(X1)
| sP2(X1,sK10(X0,X1),X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ! [X0,X1] :
( ( edge(sK10(X0,X1))
& sP2(X1,sK10(X0,X1),X0) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f55,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ? [X2] :
( edge(X2)
& sP2(X1,X2,X0) )
=> ( edge(sK10(X0,X1))
& sP2(X1,sK10(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
( ! [X0,X1] :
( ? [X2] :
( edge(X2)
& sP2(X1,X2,X0) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(definition_folding,[],[f34,f54]) ).
fof(f34,plain,
( ! [X0,X1] :
( ? [X2] :
( edge(X2)
& ( ( head_of(X2) = X0
& tail_of(X2) = X1 )
<~> ( head_of(X2) = X1
& tail_of(X2) = X0 ) ) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
( ! [X0,X1] :
( ? [X2] :
( edge(X2)
& ( ( head_of(X2) = X0
& tail_of(X2) = X1 )
<~> ( head_of(X2) = X1
& tail_of(X2) = X0 ) ) )
| ~ vertex(X1)
| X0 = X1
| ~ vertex(X0) )
| ~ complete ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
( complete
=> ! [X0,X1] :
( ( vertex(X1)
& X0 != X1
& vertex(X0) )
=> ? [X2] :
( edge(X2)
& ( ( head_of(X2) = X0
& tail_of(X2) = X1 )
<~> ( head_of(X2) = X1
& tail_of(X2) = X0 ) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( complete
=> ! [X1,X2] :
( ( X1 != X2
& vertex(X1)
& vertex(X2) )
=> ? [X0] :
( edge(X0)
& ( ( tail_of(X0) = X2
& head_of(X0) = X1 )
<~> ( tail_of(X0) = X1
& head_of(X0) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complete_properties) ).
fof(f110,plain,
complete,
inference(cnf_transformation,[],[f74]) ).
fof(f192,plain,
( vertex(head_of(sK8(sK7)))
| ~ spl11_5 ),
inference(resolution,[],[f179,f93]) ).
fof(f93,plain,
! [X0] :
( ~ edge(X0)
| vertex(head_of(X0)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f696,plain,
( spl11_16
| spl11_78
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f369,f169,f693,f271]) ).
fof(f369,plain,
( edge(sK10(tail_of(sK9(sK7)),head_of(sK8(sK7))))
| head_of(sK8(sK7)) = tail_of(sK9(sK7))
| ~ spl11_5 ),
inference(resolution,[],[f203,f182]) ).
fof(f203,plain,
( ! [X1] :
( ~ vertex(X1)
| head_of(sK8(sK7)) = X1
| edge(sK10(X1,head_of(sK8(sK7)))) )
| ~ spl11_5 ),
inference(resolution,[],[f192,f134]) ).
fof(f134,plain,
! [X0,X1] :
( ~ vertex(X0)
| edge(sK10(X1,X0))
| ~ vertex(X1)
| X0 = X1 ),
inference(resolution,[],[f110,f128]) ).
fof(f128,plain,
! [X0,X1] :
( ~ complete
| ~ vertex(X1)
| edge(sK10(X0,X1))
| ~ vertex(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f85]) ).
fof(f274,plain,
( spl11_14
| spl11_15
| ~ spl11_16
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f261,f169,f271,f267,f263]) ).
fof(f261,plain,
( head_of(sK8(sK7)) != tail_of(sK9(sK7))
| sequential(sK8(sK7),sK9(sK7))
| sK8(sK7) = sK9(sK7)
| ~ spl11_5 ),
inference(resolution,[],[f183,f179]) ).
fof(f256,plain,
~ spl11_10,
inference(avatar_contradiction_clause,[],[f255]) ).
fof(f255,plain,
( $false
| ~ spl11_10 ),
inference(resolution,[],[f238,f109]) ).
fof(f238,plain,
( ! [X6,X5] : ~ shortest_path(X5,X6,sK7)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl11_10
<=> ! [X6,X5] : ~ shortest_path(X5,X6,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).
fof(f254,plain,
( ~ spl11_7
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f253,f169,f211]) ).
fof(f253,plain,
( head_of(sK8(sK7)) != head_of(sK9(sK7))
| ~ spl11_5 ),
inference(superposition,[],[f188,f176]) ).
fof(f176,plain,
( tail_of(sK8(sK7)) = head_of(sK9(sK7))
| ~ spl11_5 ),
inference(resolution,[],[f171,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ sequential(X1,X0)
| tail_of(X0) = head_of(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f188,plain,
( head_of(sK8(sK7)) != tail_of(sK8(sK7))
| ~ spl11_5 ),
inference(resolution,[],[f179,f88]) ).
fof(f252,plain,
( spl11_10
| ~ spl11_13
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f234,f169,f160,f155,f249,f237]) ).
fof(f234,plain,
( ! [X2,X3] :
( ~ precedes(sK8(sK7),sK9(sK7),sK7)
| ~ shortest_path(X2,X3,sK7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(resolution,[],[f220,f86]) ).
fof(f86,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X0,X2)
| ~ precedes(X0,X3,X2)
| ~ shortest_path(X4,X1,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4] :
( ( ! [X5] :
( head_of(X5) != head_of(X3)
| tail_of(X0) != tail_of(X5) )
& ~ precedes(X3,X0,X2) )
| ~ shortest_path(X4,X1,X2)
| ~ precedes(X0,X3,X2) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X4,X2,X0,X1,X3] :
( ( ! [X5] :
( head_of(X1) != head_of(X5)
| tail_of(X4) != tail_of(X5) )
& ~ precedes(X1,X4,X0) )
| ~ shortest_path(X3,X2,X0)
| ~ precedes(X4,X1,X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X1,X2,X0,X3,X4] :
( ( ! [X5] :
( head_of(X1) != head_of(X5)
| tail_of(X4) != tail_of(X5) )
& ~ precedes(X1,X4,X0) )
| ~ shortest_path(X3,X2,X0)
| ~ precedes(X4,X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X2,X0,X3,X4] :
( ( shortest_path(X3,X2,X0)
& precedes(X4,X1,X0) )
=> ( ~ precedes(X1,X4,X0)
& ~ ? [X5] :
( head_of(X1) = head_of(X5)
& tail_of(X4) = tail_of(X5) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3,X7,X2,X1,X6] :
( ( 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(f220,plain,
( precedes(sK9(sK7),sK8(sK7),sK7)
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f219,f157]) ).
fof(f219,plain,
( ~ on_path(sK8(sK7),sK7)
| precedes(sK9(sK7),sK8(sK7),sK7)
| ~ spl11_3
| ~ spl11_5 ),
inference(subsumption_resolution,[],[f218,f162]) ).
fof(f218,plain,
( precedes(sK9(sK7),sK8(sK7),sK7)
| ~ on_path(sK9(sK7),sK7)
| ~ on_path(sK8(sK7),sK7)
| ~ spl11_5 ),
inference(resolution,[],[f178,f137]) ).
fof(f178,plain,
( ! [X8,X6,X7] :
( ~ path(X7,X8,X6)
| precedes(sK9(sK7),sK8(sK7),X6)
| ~ on_path(sK8(sK7),X6)
| ~ on_path(sK9(sK7),X6) )
| ~ spl11_5 ),
inference(resolution,[],[f171,f89]) ).
fof(f242,plain,
( spl11_10
| spl11_11
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(avatar_split_clause,[],[f235,f169,f160,f155,f240,f237]) ).
fof(f235,plain,
( ! [X6,X4,X5] :
( head_of(sK8(sK7)) != head_of(X4)
| tail_of(sK9(sK7)) != tail_of(X4)
| ~ shortest_path(X5,X6,sK7) )
| ~ spl11_2
| ~ spl11_3
| ~ spl11_5 ),
inference(resolution,[],[f220,f87]) ).
fof(f87,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ precedes(X0,X3,X2)
| tail_of(X0) != tail_of(X5)
| head_of(X5) != head_of(X3)
| ~ shortest_path(X4,X1,X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f216,plain,
~ spl11_1,
inference(avatar_split_clause,[],[f215,f151]) ).
fof(f151,plain,
( spl11_1
<=> number_of_in(sequential_pairs,sK7) = number_of_in(triangles,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).
fof(f215,plain,
number_of_in(sequential_pairs,sK7) != number_of_in(triangles,sK7),
inference(superposition,[],[f108,f145]) ).
fof(f145,plain,
number_of_in(sequential_pairs,sK7) = minus(length_of(sK7),n1),
inference(resolution,[],[f137,f116]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ~ path(X2,X0,X1)
| minus(length_of(X1),n1) = number_of_in(sequential_pairs,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ path(X2,X0,X1)
| minus(length_of(X1),n1) = number_of_in(sequential_pairs,X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X2,X1,X0] :
( ~ path(X0,X2,X1)
| minus(length_of(X1),n1) = number_of_in(sequential_pairs,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X2,X0,X1] :
( path(X0,X2,X1)
=> minus(length_of(X1),n1) = number_of_in(sequential_pairs,X1) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X1,X3,X2] :
( 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(f108,plain,
minus(length_of(sK7),n1) != number_of_in(triangles,sK7),
inference(cnf_transformation,[],[f74]) ).
fof(f172,plain,
( spl11_1
| spl11_5 ),
inference(avatar_split_clause,[],[f146,f169,f151]) ).
fof(f146,plain,
( sequential(sK9(sK7),sK8(sK7))
| number_of_in(sequential_pairs,sK7) = number_of_in(triangles,sK7) ),
inference(resolution,[],[f137,f117]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ path(X1,X0,X2)
| sequential(sK9(X2),sK8(X2))
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ! [X5] : ~ triangle(sK9(X2),sK8(X2),X5)
& on_path(sK8(X2),X2)
& on_path(sK9(X2),X2)
& sequential(sK9(X2),sK8(X2)) )
| ~ path(X1,X0,X2)
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f78,f79]) ).
fof(f79,plain,
! [X2] :
( ? [X3,X4] :
( ! [X5] : ~ triangle(X4,X3,X5)
& on_path(X3,X2)
& on_path(X4,X2)
& sequential(X4,X3) )
=> ( ! [X5] : ~ triangle(sK9(X2),sK8(X2),X5)
& on_path(sK8(X2),X2)
& on_path(sK9(X2),X2)
& sequential(sK9(X2),sK8(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( ! [X5] : ~ triangle(X4,X3,X5)
& on_path(X3,X2)
& on_path(X4,X2)
& sequential(X4,X3) )
| ~ path(X1,X0,X2)
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2) ),
inference(rectify,[],[f43]) ).
fof(f43,plain,
! [X1,X0,X2] :
( ? [X3,X4] :
( ! [X5] : ~ triangle(X4,X3,X5)
& on_path(X3,X2)
& on_path(X4,X2)
& sequential(X4,X3) )
| ~ path(X0,X1,X2)
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| ? [X3,X4] :
( ! [X5] : ~ triangle(X4,X3,X5)
& sequential(X4,X3)
& on_path(X4,X2)
& on_path(X3,X2) )
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ! [X3,X4] :
( ( sequential(X4,X3)
& on_path(X4,X2)
& on_path(X3,X2) )
=> ? [X5] : triangle(X4,X3,X5) )
& path(X0,X1,X2) )
=> number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X2,X3] :
( ( path(X1,X2,X3)
& ! [X7,X6] :
( ( sequential(X6,X7)
& on_path(X6,X3)
& on_path(X7,X3) )
=> ? [X8] : triangle(X6,X7,X8) ) )
=> number_of_in(sequential_pairs,X3) = number_of_in(triangles,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sequential_pairs_and_triangles) ).
fof(f167,plain,
( spl11_4
| spl11_1 ),
inference(avatar_split_clause,[],[f149,f151,f165]) ).
fof(f149,plain,
! [X4] :
( number_of_in(sequential_pairs,sK7) = number_of_in(triangles,sK7)
| ~ triangle(sK9(sK7),sK8(sK7),X4) ),
inference(resolution,[],[f137,f120]) ).
fof(f120,plain,
! [X2,X0,X1,X5] :
( ~ path(X1,X0,X2)
| ~ triangle(sK9(X2),sK8(X2),X5)
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f163,plain,
( spl11_1
| spl11_3 ),
inference(avatar_split_clause,[],[f147,f160,f151]) ).
fof(f147,plain,
( on_path(sK9(sK7),sK7)
| number_of_in(sequential_pairs,sK7) = number_of_in(triangles,sK7) ),
inference(resolution,[],[f137,f118]) ).
fof(f118,plain,
! [X2,X0,X1] :
( ~ path(X1,X0,X2)
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2)
| on_path(sK9(X2),X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f158,plain,
( spl11_1
| spl11_2 ),
inference(avatar_split_clause,[],[f148,f155,f151]) ).
fof(f148,plain,
( on_path(sK8(sK7),sK7)
| number_of_in(sequential_pairs,sK7) = number_of_in(triangles,sK7) ),
inference(resolution,[],[f137,f119]) ).
fof(f119,plain,
! [X2,X0,X1] :
( ~ path(X1,X0,X2)
| on_path(sK8(X2),X2)
| number_of_in(sequential_pairs,X2) = number_of_in(triangles,X2) ),
inference(cnf_transformation,[],[f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRA012+1 : TPTP v8.1.0. Bugfixed v3.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 21:57:35 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.40/0.55 % (25300)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)
% 1.40/0.55 % (25291)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)
% 1.40/0.55 % (25292)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)
% 1.40/0.55 % (25291)Instruction limit reached!
% 1.40/0.55 % (25291)------------------------------
% 1.40/0.55 % (25291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56 % (25291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (25291)Termination reason: Unknown
% 1.40/0.56 % (25291)Termination phase: Property scanning
% 1.40/0.56
% 1.40/0.56 % (25291)Memory used [KB]: 1535
% 1.40/0.56 % (25291)Time elapsed: 0.005 s
% 1.40/0.56 % (25291)Instructions burned: 3 (million)
% 1.40/0.56 % (25291)------------------------------
% 1.40/0.56 % (25291)------------------------------
% 1.40/0.56 % (25284)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)
% 1.40/0.56 % (25283)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)
% 1.40/0.56 % (25283)Refutation not found, incomplete strategy% (25283)------------------------------
% 1.40/0.56 % (25283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.56 % (25283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.56 % (25283)Termination reason: Refutation not found, incomplete strategy
% 1.40/0.56
% 1.40/0.56 % (25283)Memory used [KB]: 6012
% 1.40/0.56 % (25283)Time elapsed: 0.130 s
% 1.40/0.56 % (25283)Instructions burned: 3 (million)
% 1.40/0.56 % (25283)------------------------------
% 1.40/0.56 % (25283)------------------------------
% 1.63/0.57 % (25292)Instruction limit reached!
% 1.63/0.57 % (25292)------------------------------
% 1.63/0.57 % (25292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57 % (25290)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)
% 1.63/0.57 % (25292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57 % (25292)Termination reason: Unknown
% 1.63/0.57 % (25292)Termination phase: Saturation
% 1.63/0.57
% 1.63/0.57 % (25292)Memory used [KB]: 6140
% 1.63/0.57 % (25292)Time elapsed: 0.087 s
% 1.63/0.57 % (25292)Instructions burned: 7 (million)
% 1.63/0.57 % (25292)------------------------------
% 1.63/0.57 % (25292)------------------------------
% 1.63/0.58 % (25279)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)
% 1.63/0.58 % (25287)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)
% 1.63/0.58 % (25279)Instruction limit reached!
% 1.63/0.58 % (25279)------------------------------
% 1.63/0.58 % (25279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.58 % (25279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.58 % (25279)Termination reason: Unknown
% 1.63/0.58 % (25279)Termination phase: Property scanning
% 1.63/0.58
% 1.63/0.58 % (25279)Memory used [KB]: 1535
% 1.63/0.58 % (25279)Time elapsed: 0.003 s
% 1.63/0.58 % (25279)Instructions burned: 3 (million)
% 1.63/0.58 % (25279)------------------------------
% 1.63/0.58 % (25279)------------------------------
% 1.63/0.58 % (25299)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)
% 1.63/0.59 % (25305)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)
% 1.63/0.59 % (25277)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.63/0.59 % (25280)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)
% 1.63/0.59 % (25280)Refutation not found, incomplete strategy% (25280)------------------------------
% 1.63/0.59 % (25280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.59 % (25280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.59 % (25280)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.59
% 1.63/0.59 % (25280)Memory used [KB]: 6012
% 1.63/0.59 % (25280)Time elapsed: 0.160 s
% 1.63/0.59 % (25280)Instructions burned: 2 (million)
% 1.63/0.59 % (25280)------------------------------
% 1.63/0.59 % (25280)------------------------------
% 1.63/0.59 % (25297)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)
% 1.63/0.59 % (25278)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)
% 1.63/0.59 % (25281)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)
% 1.63/0.59 % (25282)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)
% 1.63/0.60 % (25296)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)
% 1.63/0.60 % (25295)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)
% 1.63/0.60 % (25295)Instruction limit reached!
% 1.63/0.60 % (25295)------------------------------
% 1.63/0.60 % (25295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.60 % (25295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.60 % (25295)Termination reason: Unknown
% 1.63/0.60 % (25295)Termination phase: Preprocessing 1
% 1.63/0.60
% 1.63/0.60 % (25295)Memory used [KB]: 1407
% 1.63/0.60 % (25295)Time elapsed: 0.002 s
% 1.63/0.60 % (25295)Instructions burned: 2 (million)
% 1.63/0.60 % (25295)------------------------------
% 1.63/0.60 % (25295)------------------------------
% 1.63/0.60 % (25293)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)
% 1.63/0.60 % (25294)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.63/0.60 % (25288)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)
% 1.63/0.61 % (25285)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)
% 1.63/0.61 % (25306)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)
% 1.63/0.61 % (25304)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)
% 1.63/0.61 % (25289)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)
% 1.63/0.61 % (25303)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)
% 1.63/0.61 % (25305)Instruction limit reached!
% 1.63/0.61 % (25305)------------------------------
% 1.63/0.61 % (25305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.61 % (25305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.61 % (25305)Termination reason: Unknown
% 1.63/0.61 % (25305)Termination phase: Saturation
% 1.63/0.61
% 1.63/0.61 % (25305)Memory used [KB]: 6140
% 1.63/0.61 % (25305)Time elapsed: 0.182 s
% 1.63/0.61 % (25305)Instructions burned: 8 (million)
% 1.63/0.61 % (25305)------------------------------
% 1.63/0.61 % (25305)------------------------------
% 1.63/0.62 % (25286)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)
% 1.63/0.62 % (25301)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)
% 1.63/0.62 % (25281)Instruction limit reached!
% 1.63/0.62 % (25281)------------------------------
% 1.63/0.62 % (25281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (25281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.62 % (25281)Termination reason: Unknown
% 1.63/0.62 % (25281)Termination phase: Saturation
% 1.63/0.62
% 1.63/0.62 % (25281)Memory used [KB]: 6140
% 1.63/0.62 % (25281)Time elapsed: 0.179 s
% 1.63/0.62 % (25281)Instructions burned: 14 (million)
% 1.63/0.62 % (25281)------------------------------
% 1.63/0.62 % (25281)------------------------------
% 1.63/0.62 % (25288)Instruction limit reached!
% 1.63/0.62 % (25288)------------------------------
% 1.63/0.62 % (25288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (25288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.62 % (25288)Termination reason: Unknown
% 1.63/0.62 % (25288)Termination phase: Saturation
% 1.63/0.62
% 1.63/0.62 % (25288)Memory used [KB]: 6140
% 1.63/0.62 % (25288)Time elapsed: 0.185 s
% 1.63/0.62 % (25288)Instructions burned: 7 (million)
% 1.63/0.62 % (25288)------------------------------
% 1.63/0.62 % (25288)------------------------------
% 1.63/0.62 % (25278)Instruction limit reached!
% 1.63/0.62 % (25278)------------------------------
% 1.63/0.62 % (25278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (25294)Instruction limit reached!
% 1.63/0.62 % (25294)------------------------------
% 1.63/0.62 % (25294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (25294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.62 % (25294)Termination reason: Unknown
% 1.63/0.62 % (25294)Termination phase: Finite model building preprocessing
% 1.63/0.62
% 1.63/0.62 % (25294)Memory used [KB]: 1535
% 1.63/0.62 % (25294)Time elapsed: 0.004 s
% 1.63/0.62 % (25294)Instructions burned: 4 (million)
% 1.63/0.62 % (25294)------------------------------
% 1.63/0.62 % (25294)------------------------------
% 1.63/0.62 % (25296)Instruction limit reached!
% 1.63/0.62 % (25296)------------------------------
% 1.63/0.62 % (25296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (25287)Instruction limit reached!
% 1.63/0.62 % (25287)------------------------------
% 1.63/0.62 % (25287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.62 % (25287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.62 % (25287)Termination reason: Unknown
% 1.63/0.62 % (25287)Termination phase: Saturation
% 1.63/0.62
% 1.63/0.62 % (25287)Memory used [KB]: 6140
% 1.63/0.62 % (25287)Time elapsed: 0.178 s
% 1.63/0.62 % (25287)Instructions burned: 12 (million)
% 1.63/0.62 % (25287)------------------------------
% 1.63/0.62 % (25287)------------------------------
% 1.63/0.62 % (25296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.62 % (25296)Termination reason: Unknown
% 1.63/0.62 % (25296)Termination phase: Saturation
% 1.63/0.62
% 1.63/0.62 % (25296)Memory used [KB]: 6140
% 1.63/0.62 % (25296)Time elapsed: 0.194 s
% 1.63/0.62 % (25296)Instructions burned: 11 (million)
% 1.63/0.62 % (25296)------------------------------
% 1.63/0.62 % (25296)------------------------------
% 1.63/0.63 % (25302)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)
% 1.63/0.63 % (25284)Instruction limit reached!
% 1.63/0.63 % (25284)------------------------------
% 1.63/0.63 % (25284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.63 % (25300)Instruction limit reached!
% 1.63/0.63 % (25300)------------------------------
% 1.63/0.63 % (25300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.64 % (25298)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)
% 1.63/0.64 % (25284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.64 % (25284)Termination reason: Unknown
% 1.63/0.64 % (25284)Termination phase: Saturation
% 1.63/0.64
% 1.63/0.64 % (25284)Memory used [KB]: 6524
% 1.63/0.64 % (25284)Time elapsed: 0.147 s
% 1.63/0.64 % (25284)Instructions burned: 39 (million)
% 1.63/0.64 % (25284)------------------------------
% 1.63/0.64 % (25284)------------------------------
% 1.63/0.64 % (25300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.64 % (25300)Termination reason: Unknown
% 1.63/0.64 % (25300)Termination phase: Saturation
% 1.63/0.64
% 1.63/0.64 % (25300)Memory used [KB]: 1918
% 1.63/0.64 % (25300)Time elapsed: 0.144 s
% 1.63/0.64 % (25300)Instructions burned: 46 (million)
% 1.63/0.64 % (25300)------------------------------
% 1.63/0.64 % (25300)------------------------------
% 1.63/0.64 % (25278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.64 % (25278)Termination reason: Unknown
% 1.63/0.64 % (25278)Termination phase: Saturation
% 1.63/0.64
% 1.63/0.64 % (25278)Memory used [KB]: 6140
% 1.63/0.64 % (25278)Time elapsed: 0.201 s
% 1.63/0.64 % (25278)Instructions burned: 13 (million)
% 1.63/0.64 % (25278)------------------------------
% 1.63/0.64 % (25278)------------------------------
% 1.63/0.65 % (25282)Instruction limit reached!
% 1.63/0.65 % (25282)------------------------------
% 1.63/0.65 % (25282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.65 % (25282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.65 % (25282)Termination reason: Unknown
% 1.63/0.65 % (25282)Termination phase: Saturation
% 1.63/0.65
% 1.63/0.65 % (25282)Memory used [KB]: 1663
% 1.63/0.65 % (25282)Time elapsed: 0.219 s
% 1.63/0.65 % (25282)Instructions burned: 15 (million)
% 1.63/0.65 % (25282)------------------------------
% 1.63/0.65 % (25282)------------------------------
% 1.63/0.66 % (25304)Instruction limit reached!
% 1.63/0.66 % (25304)------------------------------
% 1.63/0.66 % (25304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.66 % (25304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.66 % (25304)Termination reason: Unknown
% 1.63/0.66 % (25304)Termination phase: Saturation
% 1.63/0.66
% 1.63/0.66 % (25304)Memory used [KB]: 6524
% 1.63/0.66 % (25304)Time elapsed: 0.234 s
% 1.63/0.66 % (25304)Instructions burned: 26 (million)
% 1.63/0.66 % (25304)------------------------------
% 1.63/0.66 % (25304)------------------------------
% 1.63/0.66 % (25289)Instruction limit reached!
% 1.63/0.66 % (25289)------------------------------
% 1.63/0.66 % (25289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.66 % (25289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.66 % (25289)Termination reason: Unknown
% 1.63/0.66 % (25289)Termination phase: Saturation
% 1.63/0.66
% 1.63/0.66 % (25289)Memory used [KB]: 1791
% 1.63/0.66 % (25289)Time elapsed: 0.217 s
% 1.63/0.66 % (25289)Instructions burned: 16 (million)
% 1.63/0.66 % (25289)------------------------------
% 1.63/0.66 % (25289)------------------------------
% 2.30/0.68 % (25297)Instruction limit reached!
% 2.30/0.68 % (25297)------------------------------
% 2.30/0.68 % (25297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.68 % (25297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (25297)Termination reason: Unknown
% 2.30/0.68 % (25297)Termination phase: Saturation
% 2.30/0.68
% 2.30/0.68 % (25297)Memory used [KB]: 6268
% 2.30/0.68 % (25297)Time elapsed: 0.235 s
% 2.30/0.68 % (25297)Instructions burned: 30 (million)
% 2.30/0.68 % (25297)------------------------------
% 2.30/0.68 % (25297)------------------------------
% 2.30/0.68 % (25306)Instruction limit reached!
% 2.30/0.68 % (25306)------------------------------
% 2.30/0.68 % (25306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.68 % (25306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (25306)Termination reason: Unknown
% 2.30/0.68 % (25306)Termination phase: Saturation
% 2.30/0.68
% 2.30/0.68 % (25306)Memory used [KB]: 6268
% 2.30/0.68 % (25306)Time elapsed: 0.238 s
% 2.30/0.68 % (25306)Instructions burned: 24 (million)
% 2.30/0.68 % (25306)------------------------------
% 2.30/0.68 % (25306)------------------------------
% 2.39/0.70 % (25286)Instruction limit reached!
% 2.39/0.70 % (25286)------------------------------
% 2.39/0.70 % (25286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70 % (25286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70 % (25286)Termination reason: Unknown
% 2.39/0.70 % (25286)Termination phase: Saturation
% 2.39/0.70
% 2.39/0.70 % (25286)Memory used [KB]: 6524
% 2.39/0.70 % (25286)Time elapsed: 0.248 s
% 2.39/0.70 % (25286)Instructions burned: 34 (million)
% 2.39/0.70 % (25286)------------------------------
% 2.39/0.70 % (25286)------------------------------
% 2.39/0.70 % (25290)Instruction limit reached!
% 2.39/0.70 % (25290)------------------------------
% 2.39/0.70 % (25290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.70 % (25290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.70 % (25290)Termination reason: Unknown
% 2.39/0.70 % (25290)Termination phase: Saturation
% 2.39/0.70
% 2.39/0.70 % (25290)Memory used [KB]: 6780
% 2.39/0.70 % (25290)Time elapsed: 0.264 s
% 2.39/0.70 % (25290)Instructions burned: 52 (million)
% 2.39/0.70 % (25290)------------------------------
% 2.39/0.70 % (25290)------------------------------
% 2.46/0.74 % (25299)Instruction limit reached!
% 2.46/0.74 % (25299)------------------------------
% 2.46/0.74 % (25299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.74 % (25339)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 (2997ds/92Mi)
% 2.46/0.75 % (25285)Instruction limit reached!
% 2.46/0.75 % (25285)------------------------------
% 2.46/0.75 % (25285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.75 % (25285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.75 % (25285)Termination reason: Unknown
% 2.46/0.75 % (25285)Termination phase: Saturation
% 2.46/0.75
% 2.46/0.75 % (25285)Memory used [KB]: 6780
% 2.46/0.75 % (25285)Time elapsed: 0.324 s
% 2.46/0.75 % (25285)Instructions burned: 50 (million)
% 2.46/0.75 % (25285)------------------------------
% 2.46/0.75 % (25285)------------------------------
% 2.46/0.75 % (25299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.75 % (25299)Termination reason: Unknown
% 2.46/0.75 % (25299)Termination phase: Saturation
% 2.46/0.75
% 2.46/0.75 % (25299)Memory used [KB]: 7419
% 2.46/0.75 % (25299)Time elapsed: 0.301 s
% 2.46/0.75 % (25299)Instructions burned: 82 (million)
% 2.46/0.75 % (25299)------------------------------
% 2.46/0.75 % (25299)------------------------------
% 2.46/0.75 % (25339)Refutation not found, incomplete strategy% (25339)------------------------------
% 2.46/0.75 % (25339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.75 % (25339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.75 % (25339)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.75
% 2.46/0.75 % (25339)Memory used [KB]: 5884
% 2.46/0.75 % (25339)Time elapsed: 0.118 s
% 2.46/0.75 % (25339)Instructions burned: 2 (million)
% 2.46/0.75 % (25339)------------------------------
% 2.46/0.75 % (25339)------------------------------
% 2.46/0.75 % (25301)Instruction limit reached!
% 2.46/0.75 % (25301)------------------------------
% 2.46/0.75 % (25301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.75 % (25301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.75 % (25301)Termination reason: Unknown
% 2.46/0.75 % (25301)Termination phase: Saturation
% 2.46/0.75
% 2.46/0.75 % (25301)Memory used [KB]: 6652
% 2.46/0.75 % (25301)Time elapsed: 0.311 s
% 2.46/0.75 % (25301)Instructions burned: 50 (million)
% 2.46/0.75 % (25301)------------------------------
% 2.46/0.75 % (25301)------------------------------
% 2.46/0.75 % (25340)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 (2997ds/7Mi)
% 2.46/0.75 % (25340)Refutation not found, incomplete strategy% (25340)------------------------------
% 2.46/0.75 % (25340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.75 % (25340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.76 % (25340)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.76
% 2.46/0.76 % (25340)Memory used [KB]: 10362
% 2.46/0.76 % (25340)Time elapsed: 0.124 s
% 2.46/0.76 % (25340)Instructions burned: 2 (million)
% 2.46/0.76 % (25340)------------------------------
% 2.46/0.76 % (25340)------------------------------
% 2.46/0.76 % (25341)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 (2997ds/87Mi)
% 2.46/0.76 % (25293)Instruction limit reached!
% 2.46/0.76 % (25293)------------------------------
% 2.46/0.76 % (25293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.76 % (25293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.76 % (25293)Termination reason: Unknown
% 2.46/0.76 % (25293)Termination phase: Saturation
% 2.46/0.76
% 2.46/0.76 % (25293)Memory used [KB]: 6780
% 2.46/0.76 % (25293)Time elapsed: 0.315 s
% 2.46/0.76 % (25293)Instructions burned: 50 (million)
% 2.46/0.76 % (25293)------------------------------
% 2.46/0.76 % (25293)------------------------------
% 2.46/0.79 % (25343)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 (2997ds/107Mi)
% 2.46/0.79 % (25342)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.46/0.80 % (25352)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)
% 2.46/0.81 % (25351)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)
% 2.46/0.81 % (25344)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.46/0.81 % (25353)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)
% 2.46/0.81 % (25344)Refutation not found, incomplete strategy% (25344)------------------------------
% 2.46/0.81 % (25344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.81 % (25344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.81 % (25344)Termination reason: Refutation not found, incomplete strategy
% 2.46/0.81
% 2.46/0.81 % (25344)Memory used [KB]: 6012
% 2.46/0.81 % (25344)Time elapsed: 0.164 s
% 2.46/0.81 % (25344)Instructions burned: 3 (million)
% 2.46/0.81 % (25344)------------------------------
% 2.46/0.81 % (25344)------------------------------
% 2.46/0.82 % (25298)Instruction limit reached!
% 2.46/0.82 % (25298)------------------------------
% 2.46/0.82 % (25298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.82 % (25298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.82 % (25298)Termination reason: Unknown
% 2.46/0.82 % (25298)Termination phase: Saturation
% 2.46/0.82
% 2.46/0.82 % (25298)Memory used [KB]: 6908
% 2.46/0.82 % (25298)Time elapsed: 0.371 s
% 2.46/0.82 % (25298)Instructions burned: 101 (million)
% 2.46/0.82 % (25298)------------------------------
% 2.46/0.82 % (25298)------------------------------
% 2.46/0.82 % (25350)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)
% 2.46/0.82 % (25348)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)
% 2.84/0.83 % (25355)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)
% 2.84/0.83 % (25302)Instruction limit reached!
% 2.84/0.83 % (25302)------------------------------
% 2.84/0.83 % (25302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.84 % (25302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.84 % (25302)Termination reason: Unknown
% 2.84/0.84 % (25302)Termination phase: Saturation
% 2.84/0.84
% 2.84/0.84 % (25302)Memory used [KB]: 6780
% 2.84/0.84 % (25302)Time elapsed: 0.390 s
% 2.84/0.84 % (25302)Instructions burned: 95 (million)
% 2.84/0.84 % (25302)------------------------------
% 2.84/0.84 % (25302)------------------------------
% 2.84/0.84 % (25347)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.84/0.84 % (25361)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 (2996ds/341Mi)
% 2.84/0.84 % (25303)Instruction limit reached!
% 2.84/0.84 % (25303)------------------------------
% 2.84/0.84 % (25303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.84 % (25361)Refutation not found, incomplete strategy% (25361)------------------------------
% 2.84/0.84 % (25361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.84 % (25361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.84 % (25361)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.84
% 2.84/0.84 % (25361)Memory used [KB]: 5884
% 2.84/0.84 % (25361)Time elapsed: 0.118 s
% 2.84/0.84 % (25361)Instructions burned: 2 (million)
% 2.84/0.84 % (25361)------------------------------
% 2.84/0.84 % (25361)------------------------------
% 2.84/0.85 % (25356)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)
% 2.84/0.85 % (25345)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 (2997ds/141Mi)
% 2.84/0.85 % (25345)Refutation not found, incomplete strategy% (25345)------------------------------
% 2.84/0.85 % (25345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.85 % (25345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.85 % (25345)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.85
% 2.84/0.85 % (25345)Memory used [KB]: 6012
% 2.84/0.85 % (25345)Time elapsed: 0.183 s
% 2.84/0.85 % (25345)Instructions burned: 1 (million)
% 2.84/0.85 % (25345)------------------------------
% 2.84/0.85 % (25345)------------------------------
% 2.84/0.85 % (25346)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.84/0.85 % (25360)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 (2996ds/19Mi)
% 2.84/0.85 % (25354)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.84/0.85 % (25372)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.84/0.85 % (25303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.85 % (25303)Termination reason: Unknown
% 2.84/0.85 % (25303)Termination phase: Saturation
% 2.84/0.85
% 2.84/0.85 % (25303)Memory used [KB]: 7419
% 2.84/0.85 % (25303)Time elapsed: 0.414 s
% 2.84/0.85 % (25303)Instructions burned: 99 (million)
% 2.84/0.85 % (25303)------------------------------
% 2.84/0.85 % (25303)------------------------------
% 2.84/0.86 % (25349)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)
% 2.84/0.86 % (25349)Refutation not found, incomplete strategy% (25349)------------------------------
% 2.84/0.86 % (25349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.86 % (25349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.86 % (25349)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.86
% 2.84/0.86 % (25349)Memory used [KB]: 6012
% 2.84/0.86 % (25349)Time elapsed: 0.186 s
% 2.84/0.86 % (25349)Instructions burned: 3 (million)
% 2.84/0.86 % (25349)------------------------------
% 2.84/0.86 % (25349)------------------------------
% 2.84/0.86 % (25359)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/66Mi)
% 2.84/0.87 % (25370)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 (2996ds/10Mi)
% 2.84/0.88 % (25354)Instruction limit reached!
% 2.84/0.88 % (25354)------------------------------
% 2.84/0.88 % (25354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.88 % (25354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.88 % (25354)Termination reason: Unknown
% 2.84/0.88 % (25354)Termination phase: Saturation
% 2.84/0.88
% 2.84/0.88 % (25354)Memory used [KB]: 6268
% 2.84/0.88 % (25354)Time elapsed: 0.162 s
% 2.84/0.88 % (25354)Instructions burned: 15 (million)
% 2.84/0.88 % (25354)------------------------------
% 2.84/0.88 % (25354)------------------------------
% 2.84/0.88 % (25376)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)
% 2.84/0.88 % (25341)Instruction limit reached!
% 2.84/0.88 % (25341)------------------------------
% 2.84/0.88 % (25341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.88 % (25363)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 (2996ds/237Mi)
% 2.84/0.88 % (25359)Refutation not found, incomplete strategy% (25359)------------------------------
% 2.84/0.88 % (25359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.88 % (25359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.88 % (25359)Termination reason: Refutation not found, incomplete strategy
% 2.84/0.88
% 2.84/0.88 % (25359)Memory used [KB]: 5884
% 2.84/0.88 % (25359)Time elapsed: 0.162 s
% 2.84/0.88 % (25359)Instructions burned: 1 (million)
% 2.84/0.88 % (25359)------------------------------
% 2.84/0.88 % (25359)------------------------------
% 2.84/0.88 % (25353)First to succeed.
% 2.84/0.88 % (25347)Instruction limit reached!
% 2.84/0.88 % (25347)------------------------------
% 2.84/0.88 % (25347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.88 % (25347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.88 % (25347)Termination reason: Unknown
% 2.84/0.88 % (25347)Termination phase: Saturation
% 2.84/0.88
% 2.84/0.88 % (25347)Memory used [KB]: 6268
% 2.84/0.88 % (25347)Time elapsed: 0.209 s
% 2.84/0.88 % (25347)Instructions burned: 34 (million)
% 2.84/0.88 % (25347)------------------------------
% 2.84/0.88 % (25347)------------------------------
% 2.84/0.89 % (25355)Instruction limit reached!
% 2.84/0.89 % (25355)------------------------------
% 2.84/0.89 % (25355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.89 % (25355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.89 % (25355)Termination reason: Unknown
% 2.84/0.89 % (25355)Termination phase: Saturation
% 2.84/0.89
% 2.84/0.89 % (25355)Memory used [KB]: 6652
% 2.84/0.89 % (25355)Time elapsed: 0.144 s
% 2.84/0.89 % (25355)Instructions burned: 34 (million)
% 2.84/0.89 % (25355)------------------------------
% 2.84/0.89 % (25355)------------------------------
% 2.84/0.89 % (25353)Refutation found. Thanks to Tanya!
% 2.84/0.89 % SZS status Theorem for theBenchmark
% 2.84/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.84/0.89 % (25353)------------------------------
% 2.84/0.89 % (25353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.84/0.89 % (25353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.84/0.89 % (25353)Termination reason: Refutation
% 2.84/0.89
% 2.84/0.89 % (25353)Memory used [KB]: 7164
% 2.84/0.89 % (25353)Time elapsed: 0.210 s
% 2.84/0.89 % (25353)Instructions burned: 62 (million)
% 2.84/0.89 % (25353)------------------------------
% 2.84/0.89 % (25353)------------------------------
% 2.84/0.89 % (25276)Success in time 0.53 s
%------------------------------------------------------------------------------