TSTP Solution File: GRA007+2 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRA007+2 : TPTP v8.2.0. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n014.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 06:37:08 EDT 2024
% Result : Theorem 2.51s 0.77s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 16
% Syntax : Number of formulae : 133 ( 19 unt; 0 def)
% Number of atoms : 635 ( 229 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 778 ( 276 ~; 296 |; 163 &)
% ( 5 <=>; 31 =>; 0 <=; 7 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 2 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 347 ( 302 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1169,plain,
$false,
inference(subsumption_resolution,[],[f1100,f365]) ).
fof(f365,plain,
! [X0,X1] :
( ~ precedes(X1,X0,sK4)
| ~ precedes(X0,X1,sK4) ),
inference(resolution,[],[f100,f95]) ).
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4)
| ~ precedes(X3,X2,X4) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,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,[],[f43]) ).
fof(f43,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,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2,X3,X4] :
( ( precedes(X2,X3,X4)
& shortest_path(X0,X1,X4) )
=> ( ~ precedes(X3,X2,X4)
& ~ ? [X5] :
( head_of(X5) = head_of(X3)
& tail_of(X2) = tail_of(X5) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X1,X2,X6,X7,X3] :
( ( precedes(X6,X7,X3)
& shortest_path(X1,X2,X3) )
=> ( ~ precedes(X7,X6,X3)
& ~ ? [X8] :
( head_of(X8) = head_of(X7)
& tail_of(X8) = tail_of(X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1100,plain,
precedes(sK2,sK2,sK4),
inference(superposition,[],[f96,f1099]) ).
fof(f1099,plain,
sK2 = sK3,
inference(resolution,[],[f1098,f175]) ).
fof(f175,plain,
path(sK0,sK1,sK4),
inference(resolution,[],[f104,f95]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X1,X2)
| path(X0,X1,X2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ( ~ less_or_equal(length_of(X2),length_of(sK6(X0,X1,X2)))
& path(X0,X1,sK6(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,[sK6])],[f72,f73]) ).
fof(f73,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(sK6(X0,X1,X2)))
& path(X0,X1,sK6(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,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,[],[f71]) ).
fof(f71,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,[],[f70]) ).
fof(f70,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,[],[f47]) ).
fof(f47,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,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( ! [X3] :
( path(X0,X1,X3)
=> less_or_equal(length_of(X2),length_of(X3)) )
& X0 != X1
& path(X0,X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2,X9] :
( shortest_path(X1,X2,X9)
<=> ( ! [X3] :
( path(X1,X2,X3)
=> less_or_equal(length_of(X9),length_of(X3)) )
& X1 != X2
& path(X1,X2,X9) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1098,plain,
! [X0,X1] :
( ~ path(X0,X1,sK4)
| sK2 = sK3 ),
inference(subsumption_resolution,[],[f1097,f358]) ).
fof(f358,plain,
on_path(sK2,sK4),
inference(resolution,[],[f356,f175]) ).
fof(f356,plain,
! [X0,X1] :
( ~ path(X0,X1,sK4)
| on_path(sK2,sK4) ),
inference(resolution,[],[f140,f96]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X4,X0)
| on_path(X3,X0)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( ( ( ! [X5] :
( ~ precedes(X5,X4,X0)
| ~ sequential(X3,X5) )
| ~ sequential(X3,X4) )
& ( ( precedes(sK10(X0,X3,X4),X4,X0)
& sequential(X3,sK10(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,[sK10])],[f89,f90]) ).
fof(f90,plain,
! [X0,X3,X4] :
( ? [X6] :
( precedes(X6,X4,X0)
& sequential(X3,X6) )
=> ( precedes(sK10(X0,X3,X4),X4,X0)
& sequential(X3,sK10(X0,X3,X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,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,[],[f88]) ).
fof(f88,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,[],[f87]) ).
fof(f87,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,[],[f61]) ).
fof(f61,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,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( precedes(X3,X4,X0)
=> ( ( sequential(X3,X4)
<~> ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) ) )
& on_path(X4,X0)
& on_path(X3,X0) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X6,X7] :
( precedes(X6,X7,X3)
=> ( ( sequential(X6,X7)
<~> ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) ) )
& on_path(X7,X3)
& on_path(X6,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1097,plain,
! [X0,X1] :
( ~ on_path(sK2,sK4)
| sK2 = sK3
| ~ path(X0,X1,sK4) ),
inference(subsumption_resolution,[],[f1096,f380]) ).
fof(f380,plain,
~ precedes(sK3,sK2,sK4),
inference(resolution,[],[f365,f96]) ).
fof(f1096,plain,
! [X0,X1] :
( precedes(sK3,sK2,sK4)
| ~ on_path(sK2,sK4)
| sK2 = sK3
| ~ path(X0,X1,sK4) ),
inference(resolution,[],[f935,f371]) ).
fof(f371,plain,
on_path(sK3,sK4),
inference(resolution,[],[f357,f175]) ).
fof(f357,plain,
! [X0,X1] :
( ~ path(X0,X1,sK4)
| on_path(sK3,sK4) ),
inference(resolution,[],[f141,f96]) ).
fof(f141,plain,
! [X2,X3,X0,X1,X4] :
( ~ precedes(X3,X4,X0)
| on_path(X4,X0)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f935,plain,
! [X2,X0,X1] :
( ~ on_path(sK3,X0)
| precedes(sK3,sK2,X0)
| ~ on_path(sK2,X0)
| sK2 = sK3
| ~ path(X1,X2,X0) ),
inference(resolution,[],[f911,f138]) ).
fof(f138,plain,
! [X2,X3,X0,X1,X4] :
( ~ sequential(X3,X4)
| precedes(X3,X4,X0)
| ~ on_path(X4,X0)
| ~ on_path(X3,X0)
| ~ path(X1,X2,X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,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,[],[f59]) ).
fof(f59,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,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( ( ( ? [X5] :
( precedes(X5,X4,X0)
& sequential(X3,X5) )
| sequential(X3,X4) )
& on_path(X4,X0)
& on_path(X3,X0) )
=> precedes(X3,X4,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X1,X2] :
( path(X1,X2,X3)
=> ! [X6,X7] :
( ( ( ? [X8] :
( precedes(X8,X7,X3)
& sequential(X6,X8) )
| sequential(X6,X7) )
& on_path(X7,X3)
& on_path(X6,X3) )
=> precedes(X6,X7,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f911,plain,
( sequential(sK3,sK2)
| sK2 = sK3 ),
inference(trivial_inequality_removal,[],[f888]) ).
fof(f888,plain,
( sF13 != sF13
| sequential(sK3,sK2)
| sK2 = sK3 ),
inference(superposition,[],[f420,f873]) ).
fof(f873,plain,
sF13 = sF14,
inference(duplicate_literal_removal,[],[f836]) ).
fof(f836,plain,
( sF13 = sF14
| sF13 = sF14
| sF13 = sF14 ),
inference(superposition,[],[f831,f779]) ).
fof(f779,plain,
( sF14 = head_of(sK9(sF14,sF13))
| sF13 = sF14 ),
inference(subsumption_resolution,[],[f778,f363]) ).
fof(f363,plain,
vertex(sF13),
inference(forward_demodulation,[],[f360,f159]) ).
fof(f159,plain,
tail_of(sK2) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f360,plain,
vertex(tail_of(sK2)),
inference(resolution,[],[f358,f349]) ).
fof(f349,plain,
! [X0] :
( ~ on_path(X0,sK4)
| vertex(tail_of(X0)) ),
inference(resolution,[],[f348,f190]) ).
fof(f190,plain,
! [X0] :
( ~ in_path(X0,sK4)
| vertex(X0) ),
inference(resolution,[],[f101,f175]) ).
fof(f101,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ in_path(X3,X2)
| vertex(X3) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ( ( tail_of(sK5(X2,X3)) = X3
| head_of(sK5(X2,X3)) = X3 )
& on_path(sK5(X2,X3),X2)
& vertex(X3) )
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f46,f68]) ).
fof(f68,plain,
! [X2,X3] :
( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
=> ( ( tail_of(sK5(X2,X3)) = X3
| head_of(sK5(X2,X3)) = X3 )
& on_path(sK5(X2,X3),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
& vertex(X3) )
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
& vertex(X3) )
| ~ in_path(X3,X2)
| ~ path(X0,X1,X2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ( in_path(X3,X2)
& path(X0,X1,X2) )
=> ( ? [X4] :
( ( tail_of(X4) = X3
| head_of(X4) = X3 )
& on_path(X4,X2) )
& vertex(X3) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X2,X3,X5] :
( ( in_path(X5,X3)
& path(X1,X2,X3) )
=> ( ? [X0] :
( ( tail_of(X0) = X5
| head_of(X0) = X5 )
& on_path(X0,X3) )
& vertex(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f348,plain,
! [X0] :
( in_path(tail_of(X0),sK4)
| ~ on_path(X0,sK4) ),
inference(resolution,[],[f134,f175]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ on_path(X3,X2)
| in_path(tail_of(X3),X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,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,[],[f54]) ).
fof(f54,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,[],[f30]) ).
fof(f30,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f778,plain,
( sF13 = sF14
| ~ vertex(sF13)
| sF14 = head_of(sK9(sF14,sF13)) ),
inference(equality_resolution,[],[f777]) ).
fof(f777,plain,
! [X0] :
( sF13 != X0
| sF14 = X0
| ~ vertex(X0)
| sF14 = head_of(sK9(sF14,X0)) ),
inference(subsumption_resolution,[],[f776,f376]) ).
fof(f376,plain,
vertex(sF14),
inference(forward_demodulation,[],[f374,f160]) ).
fof(f160,plain,
head_of(sK3) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f374,plain,
vertex(head_of(sK3)),
inference(resolution,[],[f371,f343]) ).
fof(f343,plain,
! [X0] :
( ~ on_path(X0,sK4)
| vertex(head_of(X0)) ),
inference(resolution,[],[f342,f190]) ).
fof(f342,plain,
! [X0] :
( in_path(head_of(X0),sK4)
| ~ on_path(X0,sK4) ),
inference(resolution,[],[f133,f175]) ).
fof(f133,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ on_path(X3,X2)
| in_path(head_of(X3),X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f776,plain,
! [X0] :
( sF13 != X0
| sF14 = X0
| ~ vertex(X0)
| sF14 = head_of(sK9(sF14,X0))
| ~ vertex(sF14) ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f772,plain,
! [X0] :
( sF13 != X0
| sF14 = X0
| sF14 = X0
| ~ vertex(X0)
| sF14 = head_of(sK9(sF14,X0))
| sF14 = X0
| ~ vertex(X0)
| ~ vertex(sF14) ),
inference(superposition,[],[f771,f166]) ).
fof(f166,plain,
! [X0,X1] :
( head_of(sK9(X0,X1)) = X1
| head_of(sK9(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(subsumption_resolution,[],[f127,f94]) ).
fof(f94,plain,
complete,
inference(cnf_transformation,[],[f67]) ).
fof(f127,plain,
! [X0,X1] :
( head_of(sK9(X0,X1)) = X1
| head_of(sK9(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ! [X0,X1] :
( ( ( tail_of(sK9(X0,X1)) != X0
| head_of(sK9(X0,X1)) != X1
| tail_of(sK9(X0,X1)) != X1
| head_of(sK9(X0,X1)) != X0 )
& ( ( tail_of(sK9(X0,X1)) = X0
& head_of(sK9(X0,X1)) = X1 )
| ( tail_of(sK9(X0,X1)) = X1
& head_of(sK9(X0,X1)) = X0 ) )
& edge(sK9(X0,X1)) )
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) )
| ~ complete ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f84,f85]) ).
fof(f85,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(sK9(X0,X1)) != X0
| head_of(sK9(X0,X1)) != X1
| tail_of(sK9(X0,X1)) != X1
| head_of(sK9(X0,X1)) != X0 )
& ( ( tail_of(sK9(X0,X1)) = X0
& head_of(sK9(X0,X1)) = X1 )
| ( tail_of(sK9(X0,X1)) = X1
& head_of(sK9(X0,X1)) = X0 ) )
& edge(sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,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,[],[f83]) ).
fof(f83,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,[],[f53]) ).
fof(f53,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,[],[f52]) ).
fof(f52,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,[],[f29]) ).
fof(f29,plain,
( complete
=> ! [X0,X1] :
( ( X0 != X1
& vertex(X1)
& vertex(X0) )
=> ? [X2] :
( ( ( tail_of(X2) = X1
& head_of(X2) = X0 )
<~> ( tail_of(X2) = X0
& head_of(X2) = X1 ) )
& edge(X2) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
( complete
=> ! [X1,X2] :
( ( X1 != X2
& vertex(X2)
& vertex(X1) )
=> ? [X0] :
( ( ( tail_of(X0) = X2
& head_of(X0) = X1 )
<~> ( tail_of(X0) = X1
& head_of(X0) = X2 ) )
& edge(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f771,plain,
! [X0] :
( sF13 != head_of(sK9(sF14,X0))
| sF14 = head_of(sK9(sF14,X0))
| sF14 = X0
| ~ vertex(X0) ),
inference(subsumption_resolution,[],[f770,f376]) ).
fof(f770,plain,
! [X0] :
( sF13 != head_of(sK9(sF14,X0))
| sF14 = head_of(sK9(sF14,X0))
| sF14 = X0
| ~ vertex(X0)
| ~ vertex(sF14) ),
inference(equality_resolution,[],[f281]) ).
fof(f281,plain,
! [X0,X1] :
( sF14 != X0
| head_of(sK9(X0,X1)) != sF13
| head_of(sK9(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(subsumption_resolution,[],[f274,f167]) ).
fof(f167,plain,
! [X0,X1] :
( edge(sK9(X0,X1))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(subsumption_resolution,[],[f126,f94]) ).
fof(f126,plain,
! [X0,X1] :
( edge(sK9(X0,X1))
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f86]) ).
fof(f274,plain,
! [X0,X1] :
( sF14 != X0
| head_of(sK9(X0,X1)) != sF13
| ~ edge(sK9(X0,X1))
| head_of(sK9(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(superposition,[],[f161,f164]) ).
fof(f164,plain,
! [X0,X1] :
( tail_of(sK9(X0,X1)) = X0
| head_of(sK9(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(subsumption_resolution,[],[f129,f94]) ).
fof(f129,plain,
! [X0,X1] :
( tail_of(sK9(X0,X1)) = X0
| head_of(sK9(X0,X1)) = X0
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f86]) ).
fof(f161,plain,
! [X5] :
( tail_of(X5) != sF14
| head_of(X5) != sF13
| ~ edge(X5) ),
inference(definition_folding,[],[f97,f160,f159]) ).
fof(f97,plain,
! [X5] :
( head_of(X5) != tail_of(sK2)
| tail_of(X5) != head_of(sK3)
| ~ edge(X5) ),
inference(cnf_transformation,[],[f67]) ).
fof(f831,plain,
( sF13 = head_of(sK9(sF14,sF13))
| sF13 = sF14 ),
inference(subsumption_resolution,[],[f830,f376]) ).
fof(f830,plain,
( sF13 = sF14
| sF13 = head_of(sK9(sF14,sF13))
| ~ vertex(sF14) ),
inference(subsumption_resolution,[],[f829,f363]) ).
fof(f829,plain,
( sF13 = sF14
| sF13 = head_of(sK9(sF14,sF13))
| ~ vertex(sF13)
| ~ vertex(sF14) ),
inference(trivial_inequality_removal,[],[f828]) ).
fof(f828,plain,
( sF13 != sF13
| sF13 = sF14
| sF13 = head_of(sK9(sF14,sF13))
| ~ vertex(sF13)
| ~ vertex(sF14) ),
inference(duplicate_literal_removal,[],[f821]) ).
fof(f821,plain,
( sF13 != sF13
| sF13 = sF14
| sF13 = head_of(sK9(sF14,sF13))
| sF13 = sF14
| ~ vertex(sF13)
| ~ vertex(sF14) ),
inference(superposition,[],[f808,f165]) ).
fof(f165,plain,
! [X0,X1] :
( tail_of(sK9(X0,X1)) = X1
| head_of(sK9(X0,X1)) = X1
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0) ),
inference(subsumption_resolution,[],[f128,f94]) ).
fof(f128,plain,
! [X0,X1] :
( head_of(sK9(X0,X1)) = X1
| tail_of(sK9(X0,X1)) = X1
| X0 = X1
| ~ vertex(X1)
| ~ vertex(X0)
| ~ complete ),
inference(cnf_transformation,[],[f86]) ).
fof(f808,plain,
( sF13 != tail_of(sK9(sF14,sF13))
| sF13 = sF14 ),
inference(trivial_inequality_removal,[],[f805]) ).
fof(f805,plain,
( sF14 != sF14
| sF13 != tail_of(sK9(sF14,sF13))
| sF13 = sF14 ),
inference(superposition,[],[f520,f779]) ).
fof(f520,plain,
! [X0] :
( head_of(X0) != sF14
| tail_of(X0) != sF13 ),
inference(forward_demodulation,[],[f519,f160]) ).
fof(f519,plain,
! [X0] :
( tail_of(X0) != sF13
| head_of(X0) != head_of(sK3) ),
inference(forward_demodulation,[],[f518,f159]) ).
fof(f518,plain,
! [X0] :
( tail_of(X0) != tail_of(sK2)
| head_of(X0) != head_of(sK3) ),
inference(resolution,[],[f501,f96]) ).
fof(f501,plain,
! [X2,X0,X1] :
( ~ precedes(X0,X2,sK4)
| tail_of(X0) != tail_of(X1)
| head_of(X2) != head_of(X1) ),
inference(resolution,[],[f99,f95]) ).
fof(f99,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,[],[f44]) ).
fof(f420,plain,
( sF13 != sF14
| sequential(sK3,sK2)
| sK2 = sK3 ),
inference(subsumption_resolution,[],[f416,f375]) ).
fof(f375,plain,
edge(sK3),
inference(resolution,[],[f371,f201]) ).
fof(f201,plain,
! [X0] :
( ~ on_path(X0,sK4)
| edge(X0) ),
inference(resolution,[],[f132,f175]) ).
fof(f132,plain,
! [X2,X3,X0,X1] :
( ~ path(X0,X1,X2)
| ~ on_path(X3,X2)
| edge(X3) ),
inference(cnf_transformation,[],[f55]) ).
fof(f416,plain,
( sF13 != sF14
| sequential(sK3,sK2)
| sK2 = sK3
| ~ edge(sK3) ),
inference(superposition,[],[f406,f160]) ).
fof(f406,plain,
! [X0] :
( head_of(X0) != sF13
| sequential(X0,sK2)
| sK2 = X0
| ~ edge(X0) ),
inference(subsumption_resolution,[],[f397,f362]) ).
fof(f362,plain,
edge(sK2),
inference(resolution,[],[f358,f201]) ).
fof(f397,plain,
! [X0] :
( head_of(X0) != sF13
| sequential(X0,sK2)
| sK2 = X0
| ~ edge(sK2)
| ~ edge(X0) ),
inference(superposition,[],[f124,f159]) ).
fof(f124,plain,
! [X0,X1] :
( head_of(X0) != tail_of(X1)
| sequential(X0,X1)
| X0 = X1
| ~ edge(X1)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,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,[],[f81]) ).
fof(f81,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,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( sequential(X0,X1)
<=> ( head_of(X0) = tail_of(X1)
& X0 != X1
& edge(X1)
& edge(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X6,X7] :
( sequential(X6,X7)
<=> ( head_of(X6) = tail_of(X7)
& X6 != X7
& edge(X7)
& edge(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f96,plain,
precedes(sK2,sK3,sK4),
inference(cnf_transformation,[],[f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GRA007+2 : TPTP v8.2.0. Bugfixed v3.2.0.
% 0.11/0.13 % Command : run_vampire %s %d THM
% 0.14/0.37 % Computer : n014.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Tue Jun 18 16:21:24 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.39 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.45 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (18256)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.24/0.45 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (18253)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.24/0.45 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (18251)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.24/0.45 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (18250)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.24/0.45 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (18252)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.24/0.45 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (18255)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.24/0.45 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45 % (18254)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.24/0.45 % (18253)Refutation not found, incomplete strategy% (18253)------------------------------
% 0.24/0.45 % (18253)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.45 % (18253)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.45 % (18253)Termination reason: Refutation not found, incomplete strategy
% 0.24/0.45
% 0.24/0.45 % (18253)Memory used [KB]: 1180
% 0.24/0.45 % (18253)Time elapsed: 0.004 s
% 0.24/0.45 % (18253)Instructions burned: 4 (million)
% 0.24/0.46 % (18253)------------------------------
% 0.24/0.46 % (18253)------------------------------
% 0.24/0.51 % (18255)Instruction limit reached!
% 0.24/0.51 % (18255)------------------------------
% 0.24/0.51 % (18255)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.51 % (18255)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.51 % (18255)Termination reason: Time limit
% 0.24/0.51 % (18255)Termination phase: Saturation
% 0.24/0.51
% 0.24/0.51 % (18255)Memory used [KB]: 1931
% 0.24/0.51 % (18255)Time elapsed: 0.058 s
% 0.24/0.51 % (18255)Instructions burned: 113 (million)
% 0.24/0.51 % (18256)Instruction limit reached!
% 0.24/0.51 % (18256)------------------------------
% 0.24/0.51 % (18256)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.51 % (18256)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.51 % (18256)Termination reason: Time limit
% 0.24/0.51 % (18256)Termination phase: Saturation
% 0.24/0.51
% 0.24/0.51 % (18256)Memory used [KB]: 1611
% 0.24/0.51 % (18256)Time elapsed: 0.062 s
% 0.24/0.51 % (18256)Instructions burned: 129 (million)
% 0.24/0.52 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.52 % (18257)lrs+1002_1:1024_drc=encompass:sil=2000:tgt=full:rp=on:i=123:nm=16:ss=axioms:sd=1:st=2.0_0 on theBenchmark for (2999ds/123Mi)
% 0.24/0.52 % (18254)Instruction limit reached!
% 0.24/0.52 % (18254)------------------------------
% 0.24/0.52 % (18254)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.52 % (18254)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.52 % (18254)Termination reason: Time limit
% 0.24/0.52 % (18254)Termination phase: Saturation
% 0.24/0.52
% 0.24/0.52 % (18254)Memory used [KB]: 2091
% 0.24/0.52 % (18254)Time elapsed: 0.071 s
% 0.24/0.52 % (18254)Instructions burned: 122 (million)
% 0.24/0.57 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.57 % (18258)lrs+10_1:1_sil=8000:sp=occurrence:sos=on:urr=full:nwc=10.0:st=1.5:i=205:ss=axioms:rnwc=on:sgt=4_0 on theBenchmark for (2998ds/205Mi)
% 0.24/0.57 % (18249)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.57 % (18259)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=180:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2998ds/180Mi)
% 0.24/0.57 % (18257)Instruction limit reached!
% 0.24/0.57 % (18257)------------------------------
% 0.24/0.57 % (18257)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.24/0.57 % (18257)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.24/0.57 % (18257)Termination reason: Time limit
% 0.24/0.57 % (18257)Termination phase: Saturation
% 0.24/0.57
% 0.24/0.57 % (18257)Memory used [KB]: 1516
% 0.24/0.57 % (18257)Time elapsed: 0.061 s
% 0.24/0.57 % (18257)Instructions burned: 123 (million)
% 1.47/0.58 % (18249)Running in auto input_syntax mode. Trying TPTP
% 1.47/0.58 % (18260)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=143:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/143Mi)
% 1.79/0.63 % (18249)Running in auto input_syntax mode. Trying TPTP
% 1.79/0.63 % (18261)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=113:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2998ds/113Mi)
% 1.79/0.65 % (18260)Instruction limit reached!
% 1.79/0.65 % (18260)------------------------------
% 1.79/0.65 % (18260)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.79/0.65 % (18260)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.79/0.65 % (18260)Termination reason: Time limit
% 1.79/0.65 % (18260)Termination phase: Saturation
% 1.79/0.65
% 1.79/0.65 % (18260)Memory used [KB]: 3322
% 1.79/0.65 % (18260)Time elapsed: 0.095 s
% 1.79/0.65 % (18260)Instructions burned: 143 (million)
% 1.79/0.66 % (18259)Instruction limit reached!
% 1.79/0.66 % (18259)------------------------------
% 1.79/0.66 % (18259)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.79/0.66 % (18259)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.79/0.66 % (18259)Termination reason: Time limit
% 1.79/0.66 % (18259)Termination phase: Saturation
% 1.79/0.66
% 1.79/0.66 % (18259)Memory used [KB]: 2627
% 1.79/0.66 % (18259)Time elapsed: 0.112 s
% 1.79/0.66 % (18259)Instructions burned: 180 (million)
% 1.79/0.68 % (18258)Instruction limit reached!
% 1.79/0.68 % (18258)------------------------------
% 1.79/0.68 % (18258)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.79/0.68 % (18258)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.79/0.68 % (18258)Termination reason: Time limit
% 1.79/0.68 % (18258)Termination phase: Saturation
% 1.79/0.68
% 1.79/0.68 % (18258)Memory used [KB]: 2508
% 1.79/0.68 % (18258)Time elapsed: 0.129 s
% 1.79/0.68 % (18258)Instructions burned: 205 (million)
% 1.79/0.69 % (18261)Instruction limit reached!
% 1.79/0.69 % (18261)------------------------------
% 1.79/0.69 % (18261)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.79/0.69 % (18261)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.79/0.69 % (18261)Termination reason: Time limit
% 1.79/0.69 % (18261)Termination phase: Saturation
% 1.79/0.69
% 1.79/0.69 % (18261)Memory used [KB]: 2267
% 1.79/0.69 % (18261)Time elapsed: 0.081 s
% 1.79/0.69 % (18261)Instructions burned: 114 (million)
% 2.23/0.71 % (18249)Running in auto input_syntax mode. Trying TPTP
% 2.23/0.71 % (18262)dis-1011_3:14_sil=32000:rp=on:nwc=7.0:sac=on:mep=off:s2a=on:i=113:ep=R:gsp=on:rawr=on:awrs=converge:awrsf=47:s2agt=30:rnwc=on_0 on theBenchmark for (2997ds/113Mi)
% 2.23/0.72 % (18249)Running in auto input_syntax mode. Trying TPTP
% 2.23/0.72 % (18263)lrs+1011_1:1024_sil=2000:sos=on:lsd=10:i=114:sd=3:kws=frequency:bd=off:nm=6:av=off:gsp=on:ss=axioms:sgt=64:fde=unused_0 on theBenchmark for (2997ds/114Mi)
% 2.23/0.73 % (18249)Running in auto input_syntax mode. Trying TPTP
% 2.23/0.73 % (18264)lrs+1011_1:4_sil=2000:tgt=ground:lsd=100:nwc=2.0:st=7.0:i=253:bd=off:nm=16:av=off:ss=axioms:rawr=on_0 on theBenchmark for (2997ds/253Mi)
% 2.23/0.74 % (18262)Instruction limit reached!
% 2.23/0.74 % (18262)------------------------------
% 2.23/0.74 % (18262)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.23/0.74 % (18262)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.23/0.74 % (18262)Termination reason: Time limit
% 2.23/0.74 % (18262)Termination phase: Saturation
% 2.23/0.74
% 2.23/0.74 % (18262)Memory used [KB]: 2023
% 2.23/0.74 % (18262)Time elapsed: 0.058 s
% 2.23/0.74 % (18262)Instructions burned: 114 (million)
% 2.23/0.74 % (18249)Running in auto input_syntax mode. Trying TPTP
% 2.23/0.74 % (18265)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=150:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2996ds/150Mi)
% 2.51/0.77 % (18264)First to succeed.
% 2.51/0.77 % (18263)Instruction limit reached!
% 2.51/0.77 % (18263)------------------------------
% 2.51/0.77 % (18263)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.51/0.77 % (18263)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.51/0.77 % (18263)Termination reason: Time limit
% 2.51/0.77 % (18263)Termination phase: Saturation
% 2.51/0.77
% 2.51/0.77 % (18263)Memory used [KB]: 1842
% 2.51/0.77 % (18263)Time elapsed: 0.081 s
% 2.51/0.77 % (18263)Instructions burned: 115 (million)
% 2.51/0.77 % (18264)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18249"
% 2.51/0.77 % (18249)Running in auto input_syntax mode. Trying TPTP
% 2.51/0.77 % (18264)Refutation found. Thanks to Tanya!
% 2.51/0.77 % SZS status Theorem for theBenchmark
% 2.51/0.77 % SZS output start Proof for theBenchmark
% See solution above
% 2.51/0.77 % (18264)------------------------------
% 2.51/0.77 % (18264)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.51/0.77 % (18264)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.51/0.77 % (18264)Termination reason: Refutation
% 2.51/0.77
% 2.51/0.77 % (18264)Memory used [KB]: 1619
% 2.51/0.77 % (18264)Time elapsed: 0.044 s
% 2.51/0.77 % (18264)Instructions burned: 82 (million)
% 2.51/0.77 % (18264)------------------------------
% 2.51/0.77 % (18264)------------------------------
% 2.51/0.77 % (18249)Success in time 0.384 s
%------------------------------------------------------------------------------