TSTP Solution File: GRA007+2 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : GRA007+2 : TPTP v8.2.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n020.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 : Mon Jun 24 06:38:02 EDT 2024
% Result : Theorem 62.81s 9.42s
% Output : Refutation 62.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 123 ( 17 unt; 0 def)
% Number of atoms : 604 ( 161 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 736 ( 255 ~; 279 |; 151 &)
% ( 15 <=>; 29 =>; 0 <=; 7 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 12 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 282 ( 242 !; 40 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f133570,plain,
$false,
inference(avatar_sat_refutation,[],[f248,f252,f2522,f4709,f5219,f5495,f5934,f25485,f132426,f132509,f133234]) ).
fof(f133234,plain,
( ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_41
| ~ spl13_345
| spl13_346 ),
inference(avatar_contradiction_clause,[],[f133222]) ).
fof(f133222,plain,
( $false
| ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_41
| ~ spl13_345
| spl13_346 ),
inference(unit_resulting_resolution,[],[f1223,f183,f1743,f1227,f132586,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ edge(X0)
| head_of(X0) != tail_of(X1)
| X0 = X1
| ~ edge(X1)
| sequential(X0,X1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( sequential(X0,X1)
| head_of(X0) != tail_of(X1)
| X0 = X1
| ~ edge(X1)
| ~ edge(X0) )
& ( ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) )
| ~ sequential(X0,X1) ) ),
inference(flattening,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( sequential(X0,X1)
| head_of(X0) != tail_of(X1)
| X0 = X1
| ~ edge(X1)
| ~ edge(X0) )
& ( ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) )
| ~ sequential(X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( sequential(X0,X1)
<=> ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] :
( sequential(X6,X7)
<=> ( head_of(X6) = tail_of(X7)
& X6 != X7
& edge(X7)
& edge(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f132586,plain,
( tail_of(sK2) = head_of(sK3)
| ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_41
| ~ spl13_345
| spl13_346 ),
inference(forward_demodulation,[],[f132584,f132420]) ).
fof(f132420,plain,
( tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK3)))
| ~ spl13_345 ),
inference(avatar_component_clause,[],[f132419]) ).
fof(f132419,plain,
( spl13_345
<=> tail_of(sK2) = head_of(sK5(tail_of(sK2),head_of(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_345])]) ).
fof(f132584,plain,
( head_of(sK3) = head_of(sK5(tail_of(sK2),head_of(sK3)))
| ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_41
| spl13_346 ),
inference(unit_resulting_resolution,[],[f202,f187,f25545,f132425,f5494]) ).
fof(f5494,plain,
( ! [X0,X1] :
( ~ vertex(X1)
| ~ vertex(X0)
| head_of(sK5(X0,X1)) = X1
| X0 = X1
| tail_of(sK5(X0,X1)) = X1 )
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f5493]) ).
fof(f5493,plain,
( spl13_41
<=> ! [X0,X1] :
( head_of(sK5(X0,X1)) = X1
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| tail_of(sK5(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f132425,plain,
( head_of(sK3) != tail_of(sK5(tail_of(sK2),head_of(sK3)))
| spl13_346 ),
inference(avatar_component_clause,[],[f132423]) ).
fof(f132423,plain,
( spl13_346
<=> head_of(sK3) = tail_of(sK5(tail_of(sK2),head_of(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_346])]) ).
fof(f25545,plain,
( tail_of(sK2) != head_of(sK3)
| ~ spl13_17
| spl13_18
| spl13_21 ),
inference(unit_resulting_resolution,[],[f1223,f183,f1227,f1743,f113]) ).
fof(f187,plain,
vertex(tail_of(sK2)),
inference(unit_resulting_resolution,[],[f183,f107]) ).
fof(f107,plain,
! [X0] :
( ~ edge(X0)
| vertex(tail_of(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,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',unknown) ).
fof(f202,plain,
vertex(head_of(sK3)),
inference(unit_resulting_resolution,[],[f197,f106]) ).
fof(f106,plain,
! [X0] :
( ~ edge(X0)
| vertex(head_of(X0)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f197,plain,
edge(sK3),
inference(unit_resulting_resolution,[],[f195,f174]) ).
fof(f174,plain,
! [X0] :
( ~ on_path(X0,sK4)
| edge(X0) ),
inference(resolution,[],[f147,f159]) ).
fof(f159,plain,
path(sK0,sK1,sK4),
inference(unit_resulting_resolution,[],[f95,f139]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X1,X2)
| path(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ( ~ less_or_equal(length_of(X2),length_of(sK11(X0,X1,X2)))
& path(X0,X1,sK11(X0,X1,X2)) )
| X0 = X1
| ~ path(X0,X1,X2) )
& ( ( ! [X4] :
( less_or_equal(length_of(X2),length_of(X4))
| ~ path(X0,X1,X4) )
& X0 != X1
& path(X0,X1,X2) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f89,f90]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) )
=> ( ~ less_or_equal(length_of(X2),length_of(sK11(X0,X1,X2)))
& path(X0,X1,sK11(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) )
| X0 = X1
| ~ path(X0,X1,X2) )
& ( ( ! [X4] :
( less_or_equal(length_of(X2),length_of(X4))
| ~ path(X0,X1,X4) )
& X0 != X1
& path(X0,X1,X2) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) )
| X0 = X1
| ~ path(X0,X1,X2) )
& ( ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(flattening,[],[f87]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) )
| X0 = X1
| ~ path(X0,X1,X2) )
& ( ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) )
& X0 != X1
& path(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( ! [X3] :
( path(X0,X1,X3)
=> less_or_equal(length_of(X2),length_of(X3)) )
& X0 != X1
& path(X0,X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X9] :
( shortest_path(X1,X2,X9)
<=> ( ! [X3] :
( path(X1,X2,X3)
=> less_or_equal(length_of(X9),length_of(X3)) )
& X1 != X2
& path(X1,X2,X9) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f95,plain,
shortest_path(sK0,sK1,sK4),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ! [X5] :
( head_of(X5) != tail_of(sK2)
| tail_of(X5) != head_of(sK3)
| ~ edge(X5) )
& precedes(sK2,sK3,sK4)
& shortest_path(sK0,sK1,sK4)
& complete ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f40,f66]) ).
fof(f66,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] :
( tail_of(X2) != head_of(X5)
| tail_of(X5) != head_of(X3)
| ~ edge(X5) )
& precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( ! [X5] :
( head_of(X5) != tail_of(sK2)
| tail_of(X5) != head_of(sK3)
| ~ edge(X5) )
& precedes(sK2,sK3,sK4)
& shortest_path(sK0,sK1,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] :
( tail_of(X2) != head_of(X5)
| tail_of(X5) != head_of(X3)
| ~ edge(X5) )
& precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
& complete ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] :
( tail_of(X2) != head_of(X5)
| tail_of(X5) != head_of(X3)
| ~ edge(X5) )
& precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
& complete ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ( complete
=> ! [X0,X1,X2,X3,X4] :
( ( precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ? [X5] :
( tail_of(X2) = head_of(X5)
& tail_of(X5) = head_of(X3)
& edge(X5) ) ) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ( complete
=> ! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ? [X8] :
( tail_of(X6) = head_of(X8)
& tail_of(X8) = head_of(X7)
& edge(X8) ) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
( complete
=> ! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ? [X8] :
( tail_of(X6) = head_of(X8)
& tail_of(X8) = head_of(X7)
& edge(X8) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f147,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ on_path(X3,X2)
| edge(X3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ( in_path(tail_of(X3),X2)
& in_path(head_of(X3),X2)
& edge(X3) )
| ~ on_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(flattening,[],[f62]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ( in_path(tail_of(X3),X2)
& in_path(head_of(X3),X2)
& edge(X3) )
| ~ on_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ( on_path(X3,X2)
& path(X0,X1,X2) )
=> ( in_path(tail_of(X3),X2)
& in_path(head_of(X3),X2)
& edge(X3) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X3,X0] :
( ( on_path(X0,X3)
& path(X1,X2,X3) )
=> ( in_path(tail_of(X0),X3)
& in_path(head_of(X0),X3)
& edge(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f195,plain,
on_path(sK3,sK4),
inference(unit_resulting_resolution,[],[f96,f159,f126]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X4] :
( ~ path(X1,X2,X0)
| ~ precedes(X3,X4,X0)
| on_path(X4,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
| ~ sequential(X3,X4) )
& ( ( precedes(sK8(X0,X3,X4),X4,X0)
& sequential(X3,sK8(X0,X3,X4)) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ precedes(X3,X4,X0) )
| ~ path(X1,X2,X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f82,f83]) ).
fof(f83,plain,
! [X0,X3,X4] :
( ? [X6] :
( precedes(X6,X4,X0)
& sequential(X3,X6) )
=> ( precedes(sK8(X0,X3,X4),X4,X0)
& sequential(X3,sK8(X0,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
| ~ sequential(X3,X4) )
& ( ? [X6] :
( precedes(X6,X4,X0)
& sequential(X3,X6) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ precedes(X3,X4,X0) )
| ~ path(X1,X2,X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
| ~ sequential(X3,X4) )
& ( ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ precedes(X3,X4,X0) )
| ~ path(X1,X2,X0) ),
inference(flattening,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
| ~ sequential(X3,X4) )
& ( ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ precedes(X3,X4,X0) )
| ~ path(X1,X2,X0) ),
inference(nnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ( sequential(X3,X4)
<~> ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) ) )
& on_path(X4,X0)
& on_path(X3,X0) )
| ~ precedes(X3,X4,X0) )
| ~ path(X1,X2,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( precedes(X3,X4,X0)
=> ( ( sequential(X3,X4)
<~> ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) ) )
& on_path(X4,X0)
& on_path(X3,X0) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X6,X7] :
( precedes(X6,X7,X3)
=> ( ( sequential(X6,X7)
<~> ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) ) )
& on_path(X7,X3)
& on_path(X6,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f96,plain,
precedes(sK2,sK3,sK4),
inference(cnf_transformation,[],[f67]) ).
fof(f1227,plain,
( sK2 != sK3
| spl13_18 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1226,plain,
( spl13_18
<=> sK2 = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f1743,plain,
( ~ sequential(sK3,sK2)
| spl13_21 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1742,plain,
( spl13_21
<=> sequential(sK3,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f183,plain,
edge(sK2),
inference(unit_resulting_resolution,[],[f181,f174]) ).
fof(f181,plain,
on_path(sK2,sK4),
inference(unit_resulting_resolution,[],[f96,f159,f125]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4] :
( ~ path(X1,X2,X0)
| ~ precedes(X3,X4,X0)
| on_path(X3,X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1223,plain,
( edge(sK3)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f1222]) ).
fof(f1222,plain,
( spl13_17
<=> edge(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f132509,plain,
( ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_40
| ~ spl13_42
| spl13_345 ),
inference(avatar_contradiction_clause,[],[f132500]) ).
fof(f132500,plain,
( $false
| ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_40
| ~ spl13_42
| spl13_345 ),
inference(unit_resulting_resolution,[],[f95,f96,f132430,f132431,f150]) ).
fof(f150,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ shortest_path(X0,X1,X4)
| tail_of(X2) != tail_of(X5)
| ~ precedes(X2,X3,X4)
| head_of(X5) != head_of(X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ precedes(X3,X2,X4)
& ! [X5] :
( head_of(X5) != head_of(X3)
| tail_of(X2) != tail_of(X5) ) )
| ~ precedes(X2,X3,X4)
| ~ shortest_path(X0,X1,X4) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( ( precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( ~ precedes(X3,X2,X4)
& ~ ? [X5] :
( head_of(X5) = head_of(X3)
& tail_of(X2) = tail_of(X5) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ( ~ precedes(X7,X6,X3)
& ~ ? [X8] :
( head_of(X8) = head_of(X7)
& tail_of(X8) = tail_of(X6) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f132431,plain,
( head_of(sK3) = head_of(sK5(tail_of(sK2),head_of(sK3)))
| ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_40
| spl13_345 ),
inference(unit_resulting_resolution,[],[f202,f187,f25545,f132421,f5218]) ).
fof(f5218,plain,
( ! [X0,X1] :
( ~ vertex(X1)
| ~ vertex(X0)
| head_of(sK5(X0,X1)) = X1
| X0 = X1
| head_of(sK5(X0,X1)) = X0 )
| ~ spl13_40 ),
inference(avatar_component_clause,[],[f5217]) ).
fof(f5217,plain,
( spl13_40
<=> ! [X0,X1] :
( head_of(sK5(X0,X1)) = X1
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| head_of(sK5(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f132421,plain,
( tail_of(sK2) != head_of(sK5(tail_of(sK2),head_of(sK3)))
| spl13_345 ),
inference(avatar_component_clause,[],[f132419]) ).
fof(f132430,plain,
( tail_of(sK2) = tail_of(sK5(tail_of(sK2),head_of(sK3)))
| ~ spl13_17
| spl13_18
| spl13_21
| ~ spl13_42
| spl13_345 ),
inference(unit_resulting_resolution,[],[f202,f187,f25545,f132421,f5933]) ).
fof(f5933,plain,
( ! [X0,X1] :
( ~ vertex(X1)
| ~ vertex(X0)
| tail_of(sK5(X0,X1)) = X0
| X0 = X1
| head_of(sK5(X0,X1)) = X0 )
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f5932]) ).
fof(f5932,plain,
( spl13_42
<=> ! [X0,X1] :
( tail_of(sK5(X0,X1)) = X0
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| head_of(sK5(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f132426,plain,
( ~ spl13_345
| ~ spl13_346
| ~ spl13_2
| ~ spl13_17
| spl13_18
| spl13_21 ),
inference(avatar_split_clause,[],[f48901,f1742,f1226,f1222,f246,f132423,f132419]) ).
fof(f246,plain,
( spl13_2
<=> ! [X0,X1] :
( edge(sK5(X0,X1))
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f48901,plain,
( head_of(sK3) != tail_of(sK5(tail_of(sK2),head_of(sK3)))
| tail_of(sK2) != head_of(sK5(tail_of(sK2),head_of(sK3)))
| ~ spl13_2
| ~ spl13_17
| spl13_18
| spl13_21 ),
inference(resolution,[],[f48452,f97]) ).
fof(f97,plain,
! [X5] :
( ~ edge(X5)
| tail_of(X5) != head_of(sK3)
| head_of(X5) != tail_of(sK2) ),
inference(cnf_transformation,[],[f67]) ).
fof(f48452,plain,
( edge(sK5(tail_of(sK2),head_of(sK3)))
| ~ spl13_2
| ~ spl13_17
| spl13_18
| spl13_21 ),
inference(unit_resulting_resolution,[],[f202,f187,f25545,f247]) ).
fof(f247,plain,
( ! [X0,X1] :
( ~ vertex(X1)
| ~ vertex(X0)
| edge(sK5(X0,X1))
| X0 = X1 )
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f25485,plain,
~ spl13_18,
inference(avatar_contradiction_clause,[],[f25472]) ).
fof(f25472,plain,
( $false
| ~ spl13_18 ),
inference(unit_resulting_resolution,[],[f95,f25432,f25432,f151]) ).
fof(f151,plain,
! [X2,X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4)
| ~ precedes(X3,X2,X4) ),
inference(cnf_transformation,[],[f65]) ).
fof(f25432,plain,
( precedes(sK2,sK2,sK4)
| ~ spl13_18 ),
inference(backward_demodulation,[],[f96,f1228]) ).
fof(f1228,plain,
( sK2 = sK3
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f5934,plain,
( ~ spl13_1
| spl13_42 ),
inference(avatar_split_clause,[],[f102,f5932,f242]) ).
fof(f242,plain,
( spl13_1
<=> complete ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f102,plain,
! [X0,X1] :
( tail_of(sK5(X0,X1)) = X0
| head_of(sK5(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ! [X0,X1] :
( ( ( tail_of(sK5(X0,X1)) != X0
| head_of(sK5(X0,X1)) != X1
| tail_of(sK5(X0,X1)) != X1
| head_of(sK5(X0,X1)) != X0 )
& ( ( tail_of(sK5(X0,X1)) = X0
& head_of(sK5(X0,X1)) = X1 )
| ( tail_of(sK5(X0,X1)) = X1
& head_of(sK5(X0,X1)) = X0 ) )
& edge(sK5(X0,X1)) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f69,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ? [X2] :
( ( tail_of(X2) != X0
| head_of(X2) != X1
| tail_of(X2) != X1
| head_of(X2) != X0 )
& ( ( tail_of(X2) = X0
& head_of(X2) = X1 )
| ( tail_of(X2) = X1
& head_of(X2) = X0 ) )
& edge(X2) )
=> ( ( tail_of(sK5(X0,X1)) != X0
| head_of(sK5(X0,X1)) != X1
| tail_of(sK5(X0,X1)) != X1
| head_of(sK5(X0,X1)) != X0 )
& ( ( tail_of(sK5(X0,X1)) = X0
& head_of(sK5(X0,X1)) = X1 )
| ( tail_of(sK5(X0,X1)) = X1
& head_of(sK5(X0,X1)) = X0 ) )
& edge(sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
( ! [X0,X1] :
( ? [X2] :
( ( tail_of(X2) != X0
| head_of(X2) != X1
| tail_of(X2) != X1
| head_of(X2) != X0 )
& ( ( tail_of(X2) = X0
& head_of(X2) = X1 )
| ( tail_of(X2) = X1
& head_of(X2) = X0 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(flattening,[],[f68]) ).
fof(f68,plain,
( ! [X0,X1] :
( ? [X2] :
( ( tail_of(X2) != X0
| head_of(X2) != X1
| tail_of(X2) != X1
| head_of(X2) != X0 )
& ( ( tail_of(X2) = X0
& head_of(X2) = X1 )
| ( tail_of(X2) = X1
& head_of(X2) = X0 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ! [X0,X1] :
( ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
( ! [X0,X1] :
( ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
( complete
=> ! [X0,X1] :
( ( X0 != X1
& vertex(X1)
& vertex(X0) )
=> ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( complete
=> ! [X1,X2] :
( ( X1 != X2
& vertex(X2)
& vertex(X1) )
=> ? [X0] :
( ( ( tail_of(X0) = X2
& head_of(X0) = X1 )
<~> ( tail_of(X0) = X1
& head_of(X0) = X2 ) )
& edge(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5495,plain,
( ~ spl13_1
| spl13_41 ),
inference(avatar_split_clause,[],[f101,f5493,f242]) ).
fof(f101,plain,
! [X0,X1] :
( head_of(sK5(X0,X1)) = X1
| tail_of(sK5(X0,X1)) = X1
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f71]) ).
fof(f5219,plain,
( ~ spl13_1
| spl13_40 ),
inference(avatar_split_clause,[],[f100,f5217,f242]) ).
fof(f100,plain,
! [X0,X1] :
( head_of(sK5(X0,X1)) = X1
| head_of(sK5(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f71]) ).
fof(f4709,plain,
spl13_17,
inference(avatar_split_clause,[],[f197,f1222]) ).
fof(f2522,plain,
~ spl13_21,
inference(avatar_split_clause,[],[f2520,f1742]) ).
fof(f2520,plain,
~ sequential(sK3,sK2),
inference(unit_resulting_resolution,[],[f195,f891,f181,f159,f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X4] :
( ~ path(X1,X2,X0)
| ~ sequential(X3,X4)
| ~ on_path(X4,X0)
| ~ on_path(X3,X0)
| precedes(X3,X4,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
& ~ sequential(X3,X4) )
| ~ on_path(X4,X0)
| ~ on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(flattening,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
& ~ sequential(X3,X4) )
| ~ on_path(X4,X0)
| ~ on_path(X3,X0) )
| ~ path(X1,X2,X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( ( ( ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
=> precedes(X3,X4,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X6,X7] :
( ( ( ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) )
| sequential(X6,X7) )
& on_path(X7,X3)
& on_path(X6,X3) )
=> precedes(X6,X7,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f891,plain,
~ precedes(sK3,sK2,sK4),
inference(unit_resulting_resolution,[],[f96,f95,f151]) ).
fof(f252,plain,
spl13_1,
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| spl13_1 ),
inference(unit_resulting_resolution,[],[f94,f244]) ).
fof(f244,plain,
( ~ complete
| spl13_1 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f94,plain,
complete,
inference(cnf_transformation,[],[f67]) ).
fof(f248,plain,
( ~ spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f99,f246,f242]) ).
fof(f99,plain,
! [X0,X1] :
( edge(sK5(X0,X1))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRA007+2 : TPTP v8.2.0. Bugfixed v3.2.0.
% 0.03/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 16:07:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order model finding
% 0.12/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13700)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13697)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13695)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13699)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13698)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13696)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.42 % (13701)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.42 TRYING [1]
% 0.21/0.42 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.45 TRYING [10]
% 0.21/0.46 TRYING [4]
% 0.21/0.47 % (13699)Instruction limit reached!
% 0.21/0.47 % (13699)------------------------------
% 0.21/0.47 % (13699)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.47 % (13699)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.47 % (13699)Termination reason: Time limit
% 0.21/0.47 % (13699)Termination phase: Saturation
% 0.21/0.47
% 0.21/0.47 % (13699)Memory used [KB]: 1762
% 0.21/0.47 % (13699)Time elapsed: 0.060 s
% 0.21/0.47 % (13699)Instructions burned: 106 (million)
% 0.21/0.48 % (13701)Instruction limit reached!
% 0.21/0.48 % (13701)------------------------------
% 0.21/0.48 % (13701)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.48 % (13701)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.48 % (13701)Termination reason: Time limit
% 0.21/0.48 % (13701)Termination phase: Saturation
% 0.21/0.48
% 0.21/0.48 % (13701)Memory used [KB]: 2620
% 0.21/0.48 % (13701)Time elapsed: 0.068 s
% 0.21/0.48 % (13701)Instructions burned: 116 (million)
% 0.21/0.50 % (13700)Instruction limit reached!
% 0.21/0.50 % (13700)------------------------------
% 0.21/0.50 % (13700)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.50 % (13700)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.50 % (13700)Termination reason: Time limit
% 0.21/0.50 % (13700)Termination phase: Saturation
% 0.21/0.50
% 0.21/0.50 % (13700)Memory used [KB]: 2445
% 0.21/0.50 % (13700)Time elapsed: 0.084 s
% 0.21/0.50 % (13700)Instructions burned: 146 (million)
% 0.21/0.51 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.51 % (13702)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2998ds/404Mi)
% 0.21/0.51 TRYING [5]
% 0.21/0.52 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (13703)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2998ds/175Mi)
% 0.21/0.53 % (13694)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.53 % (13704)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2998ds/270Mi)
% 1.55/0.57 % (13703)Instruction limit reached!
% 1.55/0.57 % (13703)------------------------------
% 1.55/0.57 % (13703)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.55/0.57 % (13703)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.55/0.57 % (13703)Termination reason: Time limit
% 1.55/0.57 % (13703)Termination phase: Saturation
% 1.55/0.57
% 1.55/0.57 % (13703)Memory used [KB]: 2994
% 1.55/0.57 % (13703)Time elapsed: 0.057 s
% 1.55/0.57 % (13703)Instructions burned: 175 (million)
% 1.55/0.61 % (13694)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.61 % (13705)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2997ds/900Mi)
% 1.96/0.62 % (13704)Instruction limit reached!
% 1.96/0.62 % (13704)------------------------------
% 1.96/0.62 % (13704)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.62 % (13704)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.62 % (13704)Termination reason: Time limit
% 1.96/0.62 % (13704)Termination phase: Saturation
% 1.96/0.62
% 1.96/0.62 % (13704)Memory used [KB]: 2377
% 1.96/0.62 % (13704)Time elapsed: 0.092 s
% 1.96/0.62 % (13704)Instructions burned: 270 (million)
% 1.96/0.65 TRYING [6]
% 1.96/0.65 % (13702)Instruction limit reached!
% 1.96/0.65 % (13702)------------------------------
% 1.96/0.65 % (13702)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.96/0.65 % (13702)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.96/0.65 % (13702)Termination reason: Time limit
% 1.96/0.65 % (13702)Termination phase: Saturation
% 1.96/0.65
% 1.96/0.66 % (13702)Memory used [KB]: 4412
% 1.96/0.66 % (13702)Time elapsed: 0.147 s
% 1.96/0.66 % (13702)Instructions burned: 405 (million)
% 2.13/0.66 % (13694)Running in auto input_syntax mode. Trying TPTP
% 2.13/0.66 % (13706)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2997ds/7859Mi)
% 2.13/0.67 TRYING [1]
% 2.13/0.67 TRYING [2]
% 2.13/0.67 TRYING [3]
% 2.13/0.68 TRYING [4]
% 2.13/0.69 % (13694)Running in auto input_syntax mode. Trying TPTP
% 2.13/0.69 % (13707)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2997ds/2145Mi)
% 2.13/0.71 TRYING [5]
% 2.13/0.72 TRYING [23]
% 2.44/0.76 TRYING [6]
% 2.97/0.87 % (13705)Instruction limit reached!
% 2.97/0.87 % (13705)------------------------------
% 2.97/0.87 % (13705)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.97/0.87 % (13705)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.97/0.87 % (13705)Termination reason: Time limit
% 2.97/0.87 % (13705)Termination phase: Saturation
% 2.97/0.87
% 2.97/0.87 % (13705)Memory used [KB]: 5614
% 2.97/0.87 % (13705)Time elapsed: 0.257 s
% 2.97/0.87 % (13705)Instructions burned: 901 (million)
% 2.97/0.90 TRYING [7]
% 2.97/0.91 % (13694)Running in auto input_syntax mode. Trying TPTP
% 2.97/0.91 % (13708)ott-30_1:1024_sil=4000:alpa=true:newcnf=on:i=1187:bs=unit_only:ins=1:amm=off_0 on theBenchmark for (2994ds/1187Mi)
% 3.51/0.94 TRYING [7]
% 5.14/1.14 TRYING [8]
% 6.34/1.30 % (13708)Instruction limit reached!
% 6.34/1.30 % (13708)------------------------------
% 6.34/1.30 % (13708)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.34/1.30 % (13708)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.34/1.30 % (13708)Termination reason: Time limit
% 6.34/1.30 % (13708)Termination phase: Saturation
% 6.34/1.30
% 6.34/1.30 % (13708)Memory used [KB]: 7375
% 6.34/1.30 % (13708)Time elapsed: 0.396 s
% 6.34/1.30 % (13708)Instructions burned: 1189 (million)
% 6.84/1.34 % (13694)Running in auto input_syntax mode. Trying TPTP
% 6.84/1.34 % (13709)fmb+10_1:1_sil=32000:i=23580:newcnf=on_0 on theBenchmark for (2990ds/23580Mi)
% 6.84/1.34 TRYING [1]
% 6.84/1.34 TRYING [2]
% 6.84/1.35 % (13707)Instruction limit reached!
% 6.84/1.35 % (13707)------------------------------
% 6.84/1.35 % (13707)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.84/1.35 % (13707)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.84/1.35 % (13707)Termination reason: Time limit
% 6.84/1.35 % (13707)Termination phase: Saturation
% 6.84/1.35
% 6.84/1.35 % (13707)Memory used [KB]: 10992
% 6.84/1.35 % (13707)Time elapsed: 0.653 s
% 6.84/1.35 % (13707)Instructions burned: 2145 (million)
% 6.84/1.35 TRYING [3]
% 6.84/1.36 TRYING [4]
% 7.11/1.38 % (13694)Running in auto input_syntax mode. Trying TPTP
% 7.11/1.38 % (13710)fmb+10_1:1_sil=32000:fmbss=17:fmbsr=2.0:i=2892_0 on theBenchmark for (2990ds/2892Mi)
% 7.11/1.40 TRYING [5]
% 7.62/1.50 TRYING [17]
% 7.88/1.53 TRYING [6]
% 8.00/1.59 TRYING [8]
% 8.00/1.61 TRYING [9]
% 9.87/1.76 TRYING [7]
% 10.45/1.89 % (13710)Instruction limit reached!
% 10.45/1.89 % (13710)------------------------------
% 10.45/1.89 % (13710)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 10.45/1.89 % (13710)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 10.45/1.89 % (13710)Termination reason: Time limit
% 10.45/1.89 % (13710)Termination phase: Finite model building constraint generation
% 10.45/1.89
% 10.45/1.89 % (13710)Memory used [KB]: 158080
% 10.45/1.89 % (13710)Time elapsed: 0.511 s
% 10.45/1.89 % (13710)Instructions burned: 2896 (million)
% 11.02/1.94 % (13694)Running in auto input_syntax mode. Trying TPTP
% 11.02/1.94 % (13711)ott-10_1:1_sil=4000:i=1693_0 on theBenchmark for (2984ds/1693Mi)
% 13.22/2.27 TRYING [8]
% 14.07/2.36 TRYING [10]
% 14.13/2.39 % (13706)Instruction limit reached!
% 14.13/2.39 % (13706)------------------------------
% 14.13/2.39 % (13706)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.13/2.39 % (13706)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.13/2.39 % (13706)Termination reason: Time limit
% 14.13/2.39 % (13706)Termination phase: Finite model building constraint generation
% 14.13/2.39
% 14.13/2.39 % (13706)Memory used [KB]: 22124
% 14.13/2.39 % (13706)Time elapsed: 1.732 s
% 14.13/2.39 % (13706)Instructions burned: 7861 (million)
% 14.43/2.43 % (13694)Running in auto input_syntax mode. Trying TPTP
% 14.43/2.43 % (13712)dis+21_1:1_sil=4000:gs=on:sac=on:newcnf=on:gsem=off:i=1735:gsaa=full_model:abs=on:anc=none_0 on theBenchmark for (2979ds/1735Mi)
% 14.64/2.45 % (13711)Instruction limit reached!
% 14.64/2.45 % (13711)------------------------------
% 14.64/2.45 % (13711)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.64/2.45 % (13711)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.64/2.45 % (13711)Termination reason: Time limit
% 14.64/2.45 % (13711)Termination phase: Saturation
% 14.64/2.45
% 14.64/2.45 % (13711)Memory used [KB]: 8578
% 14.64/2.45 % (13711)Time elapsed: 0.526 s
% 14.64/2.45 % (13711)Instructions burned: 1696 (million)
% 14.64/2.48 % (13694)Running in auto input_syntax mode. Trying TPTP
% 14.64/2.48 % (13713)fmb+10_1:1_fmbas=expand:sil=128000:i=131798:nm=2:fmbksg=on:fmbss=4:fmbsr=1.77:rp=on_0 on theBenchmark for (2979ds/131798Mi)
% 14.64/2.49 Detected minimum model sizes of [1,1,1]
% 14.64/2.49 Detected maximum model sizes of [max,3,1]
% 14.64/2.49 TRYING [4,4,4]
% 14.64/2.51 TRYING [5,4,4]
% 15.11/2.57 TRYING [6,4,4]
% 15.76/2.69 TRYING [7,4,4]
% 18.22/2.99 % (13712)Instruction limit reached!
% 18.22/2.99 % (13712)------------------------------
% 18.22/2.99 % (13712)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.22/2.99 % (13712)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.22/2.99 % (13712)Termination reason: Time limit
% 18.22/2.99 % (13712)Termination phase: Saturation
% 18.22/2.99
% 18.22/2.99 % (13712)Memory used [KB]: 11693
% 18.22/2.99 % (13712)Time elapsed: 0.577 s
% 18.22/2.99 % (13712)Instructions burned: 1737 (million)
% 18.22/3.00 TRYING [9]
% 18.60/3.03 % (13694)Running in auto input_syntax mode. Trying TPTP
% 18.60/3.03 % (13714)fmb+10_1:1_sil=16000:fmbss=16:i=3451:newcnf=on_0 on theBenchmark for (2973ds/3451Mi)
% 18.86/3.12 TRYING [8,4,4]
% 18.86/3.12 TRYING [16]
% 21.90/3.51 TRYING [9,4,4]
% 21.90/3.53 TRYING [9]
% 22.86/3.63 % (13714)Instruction limit reached!
% 22.86/3.63 % (13714)------------------------------
% 22.86/3.63 % (13714)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.86/3.63 % (13714)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.86/3.63 % (13714)Termination reason: Time limit
% 22.86/3.63 % (13714)Termination phase: Finite model building constraint generation
% 22.86/3.63
% 22.86/3.63 % (13714)Memory used [KB]: 191123
% 22.86/3.63 % (13714)Time elapsed: 0.623 s
% 22.86/3.63 % (13714)Instructions burned: 3454 (million)
% 23.15/3.68 % (13694)Running in auto input_syntax mode. Trying TPTP
% 23.15/3.68 % (13715)ott+11_1:64_sil=4000:rp=on:i=3978:bd=off:fsr=off_0 on theBenchmark for (2967ds/3978Mi)
% 26.44/4.15 TRYING [10,4,4]
% 32.36/4.98 % (13715)Instruction limit reached!
% 32.36/4.98 % (13715)------------------------------
% 32.36/4.98 % (13715)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.36/4.98 % (13715)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.36/4.98 % (13715)Termination reason: Time limit
% 32.36/4.98 % (13715)Termination phase: Saturation
% 32.36/4.98
% 32.36/4.98 % (13715)Memory used [KB]: 28752
% 32.36/4.98 % (13715)Time elapsed: 1.331 s
% 32.36/4.98 % (13715)Instructions burned: 3978 (million)
% 32.36/5.02 % (13694)Running in auto input_syntax mode. Trying TPTP
% 32.36/5.02 % (13716)dis+35_1:64_to=lpo:sil=32000:sp=occurrence:urr=on:sac=on:i=33091:fsr=off_0 on theBenchmark for (2953ds/33091Mi)
% 33.32/5.19 TRYING [10]
% 33.84/5.24 TRYING [11,4,4]
% 36.63/5.65 TRYING [11]
% 37.65/5.82 TRYING [10]
% 43.77/6.65 % (13709)Instruction limit reached!
% 43.77/6.65 % (13709)------------------------------
% 43.77/6.65 % (13709)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 43.77/6.65 % (13709)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 43.77/6.65 % (13709)Termination reason: Time limit
% 43.77/6.65 % (13709)Termination phase: Finite model building SAT solving
% 43.77/6.65
% 43.77/6.65 % (13709)Memory used [KB]: 65744
% 43.77/6.65 % (13709)Time elapsed: 5.321 s
% 43.77/6.65 % (13709)Instructions burned: 23581 (million)
% 44.08/6.69 % (13694)Running in auto input_syntax mode. Trying TPTP
% 44.08/6.69 % (13717)dis-4_1:1_sil=16000:sp=const_frequency:sac=on:newcnf=on:i=9564_0 on theBenchmark for (2937ds/9564Mi)
% 46.61/7.09 TRYING [12,4,4]
% 60.42/9.03 % (13717)Instruction limit reached!
% 60.42/9.03 % (13717)------------------------------
% 60.42/9.03 % (13717)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 60.42/9.03 % (13717)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 60.42/9.03 % (13717)Termination reason: Time limit
% 60.42/9.03 % (13717)Termination phase: Saturation
% 60.42/9.03
% 60.42/9.03 % (13717)Memory used [KB]: 20029
% 60.42/9.03 % (13717)Time elapsed: 2.321 s
% 60.42/9.03 % (13717)Instructions burned: 9564 (million)
% 60.67/9.07 % (13694)Running in auto input_syntax mode. Trying TPTP
% 60.67/9.07 % (13718)fmb+10_1:1_sil=64000:i=50409:nm=2:gsp=on_0 on theBenchmark for (2913ds/50409Mi)
% 60.67/9.07 TRYING [1]
% 60.67/9.07 TRYING [2]
% 60.67/9.07 TRYING [3]
% 60.67/9.08 TRYING [4]
% 60.67/9.10 TRYING [5]
% 61.21/9.16 TRYING [6]
% 61.99/9.28 TRYING [7]
% 62.81/9.41 % (13716)First to succeed.
% 62.81/9.42 % (13716)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13694"
% 62.81/9.42 % (13694)Running in auto input_syntax mode. Trying TPTP
% 62.81/9.42 % (13716)Refutation found. Thanks to Tanya!
% 62.81/9.42 % SZS status Theorem for theBenchmark
% 62.81/9.42 % SZS output start Proof for theBenchmark
% See solution above
% 62.81/9.42 % (13716)------------------------------
% 62.81/9.42 % (13716)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 62.81/9.42 % (13716)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 62.81/9.42 % (13716)Termination reason: Refutation
% 62.81/9.42
% 62.81/9.42 % (13716)Memory used [KB]: 39959
% 62.81/9.42 % (13716)Time elapsed: 4.394 s
% 62.81/9.42 % (13716)Instructions burned: 14798 (million)
% 62.81/9.42 % (13716)------------------------------
% 62.81/9.42 % (13716)------------------------------
% 62.81/9.42 % (13694)Success in time 9.059 s
%------------------------------------------------------------------------------