%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA009+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:08:26 AM UTC 2026
% Result : Theorem 148.61s 21.48s
% Output : Refutation 148.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 13
% Syntax : Number of formulae : 124 ( 23 unt; 4 def)
% Number of atoms : 485 ( 125 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 578 ( 217 ~; 240 |; 97 &)
% ( 8 <=>; 13 =>; 0 <=; 3 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 193 ( 0 sgn 171 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( edge(X0)
=> head_of(X0) != tail_of(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',no_loops) ).
fof(f2,axiom,
! [X0] :
( edge(X0)
=> ( vertex(head_of(X0))
& vertex(tail_of(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',edge_ends_are_vertices) ).
fof(f3,axiom,
( complete
=> ! [X0,X1] :
( ( vertex(X0)
& vertex(X1)
& X0 != X1 )
=> ? [X2] :
( edge(X2)
& ( ( X0 = head_of(X2)
& X1 = tail_of(X2) )
<~> ( X1 = head_of(X2)
& X0 = tail_of(X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',complete_properties) ).
fof(f8,axiom,
! [X0,X1] :
( sequential(X0,X1)
<=> ( edge(X0)
& edge(X1)
& X0 != X1
& head_of(X0) = tail_of(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',sequential_defn) ).
fof(f9,axiom,
! [X0,X1,X2] :
( path(X1,X2,X0)
=> ! [X3,X4] :
( ( on_path(X3,X0)
& on_path(X4,X0)
& ( sequential(X3,X4)
| ? [X5] :
( sequential(X3,X5)
& precedes(X5,X4,X0) ) ) )
=> precedes(X3,X4,X0) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',precedes_defn) ).
fof(f11,axiom,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( path(X0,X1,X2)
& X0 != X1
& ! [X3] :
( path(X0,X1,X3)
=> less_or_equal(length_of(X2),length_of(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_defn) ).
fof(f12,axiom,
! [X0,X1,X2,X3,X4] :
( ( shortest_path(X0,X1,X4)
& precedes(X2,X3,X4) )
=> ( ~ ? [X5] :
( tail_of(X5) = tail_of(X2)
& head_of(X5) = head_of(X3) )
& ~ precedes(X3,X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRA001+0.ax',shortest_path_properties) ).
fof(f13,axiom,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
<=> ( edge(X0)
& edge(X1)
& edge(X2)
& sequential(X0,X1)
& sequential(X1,X2)
& sequential(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',triangle_defn) ).
fof(f18,conjecture,
( complete
=> ! [X0,X1,X2,X3,X4] :
( ( shortest_path(X0,X1,X2)
& on_path(X3,X2)
& on_path(X4,X2)
& sequential(X3,X4) )
=> ? [X5] : triangle(X3,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complete_means_path_and_stuff_means_triangles) ).
fof(f19,negated_conjecture,
~ ( complete
=> ! [X0,X1,X2,X3,X4] :
( ( shortest_path(X0,X1,X2)
& on_path(X3,X2)
& on_path(X4,X2)
& sequential(X3,X4) )
=> ? [X5] : triangle(X3,X4,X5) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( edge(X0)
& edge(X1)
& edge(X2)
& sequential(X0,X1)
& sequential(X1,X2)
& sequential(X2,X0) )
=> triangle(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f21,plain,
! [X0] :
( head_of(X0) != tail_of(X0)
| ~ edge(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f22,plain,
! [X0] :
( ( vertex(head_of(X0))
& vertex(tail_of(X0)) )
| ~ edge(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f23,plain,
( ! [X0,X1] :
( ? [X2] :
( edge(X2)
& ( ( X0 = head_of(X2)
& X1 = tail_of(X2) )
<~> ( X1 = head_of(X2)
& X0 = tail_of(X2) ) ) )
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1 )
| ~ complete ),
inference(ennf_transformation,[],[f3]) ).
fof(f24,plain,
( ! [X0,X1] :
( ? [X2] :
( edge(X2)
& ( ( X0 = head_of(X2)
& X1 = tail_of(X2) )
<~> ( X1 = head_of(X2)
& X0 = tail_of(X2) ) ) )
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1 )
| ~ complete ),
inference(flattening,[],[f23]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ( ~ sequential(X3,X4)
& ! [X5] :
( ~ sequential(X3,X5)
| ~ precedes(X5,X4,X0) ) ) )
| ~ path(X1,X2,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ! [X3,X4] :
( precedes(X3,X4,X0)
| ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ( ~ sequential(X3,X4)
& ! [X5] :
( ~ sequential(X3,X5)
| ~ precedes(X5,X4,X0) ) ) )
| ~ path(X1,X2,X0) ),
inference(flattening,[],[f32]) ).
fof(f35,plain,
! [X0,X1,X2] :
( shortest_path(X0,X1,X2)
<=> ( path(X0,X1,X2)
& X0 != X1
& ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f36,plain,
! [X0,X1,X2,X3,X4] :
( ( ! [X5] :
( tail_of(X2) != tail_of(X5)
| head_of(X3) != head_of(X5) )
& ~ precedes(X3,X2,X4) )
| ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4) ),
inference(ennf_transformation,[],[f12]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4] :
( ( ! [X5] :
( tail_of(X2) != tail_of(X5)
| head_of(X3) != head_of(X5) )
& ~ precedes(X3,X2,X4) )
| ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
| ~ edge(X0)
| ~ edge(X1)
| ~ edge(X2)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0,X1,X2] :
( triangle(X0,X1,X2)
| ~ edge(X0)
| ~ edge(X1)
| ~ edge(X2)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0) ),
inference(flattening,[],[f38]) ).
fof(f44,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& shortest_path(X0,X1,X2)
& on_path(X3,X2)
& on_path(X4,X2)
& sequential(X3,X4) )
& complete ),
inference(ennf_transformation,[],[f19]) ).
fof(f45,plain,
( ? [X0,X1,X2,X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& shortest_path(X0,X1,X2)
& on_path(X3,X2)
& on_path(X4,X2)
& sequential(X3,X4) )
& complete ),
inference(flattening,[],[f44]) ).
fof(f46,plain,
( ! [X0,X1] :
( ? [X2] :
( edge(X2)
& ( head_of(X2) != X1
| tail_of(X2) != X0
| head_of(X2) != X0
| tail_of(X2) != X1 )
& ( ( X1 = head_of(X2)
& X0 = tail_of(X2) )
| ( X0 = head_of(X2)
& X1 = tail_of(X2) ) ) )
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1 )
| ~ complete ),
inference(nnf_transformation,[],[f24]) ).
fof(f47,plain,
( ! [X0,X1] :
( ? [X2] :
( edge(X2)
& ( head_of(X2) != X1
| tail_of(X2) != X0
| head_of(X2) != X0
| tail_of(X2) != X1 )
& ( ( X1 = head_of(X2)
& X0 = tail_of(X2) )
| ( X0 = head_of(X2)
& X1 = tail_of(X2) ) ) )
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1 )
| ~ complete ),
inference(flattening,[],[f46]) ).
fof(f48,plain,
( ! [X0,X1] :
( ( edge(sK0(X0,X1))
& ( head_of(sK0(X0,X1)) != X1
| tail_of(sK0(X0,X1)) != X0
| head_of(sK0(X0,X1)) != X0
| tail_of(sK0(X0,X1)) != X1 )
& ( ( head_of(sK0(X0,X1)) = X1
& tail_of(sK0(X0,X1)) = X0 )
| ( head_of(sK0(X0,X1)) = X0
& tail_of(sK0(X0,X1)) = X1 ) ) )
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1 )
| ~ complete ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f47]) ).
fof(f54,plain,
! [X0,X1] :
( ( sequential(X0,X1)
| ~ edge(X0)
| ~ edge(X1)
| X0 = X1
| head_of(X0) != tail_of(X1) )
& ( ( edge(X0)
& edge(X1)
& X0 != X1
& head_of(X0) = tail_of(X1) )
| ~ sequential(X0,X1) ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0,X1] :
( ( sequential(X0,X1)
| ~ edge(X0)
| ~ edge(X1)
| X0 = X1
| head_of(X0) != tail_of(X1) )
& ( ( edge(X0)
& edge(X1)
& X0 != X1
& head_of(X0) = tail_of(X1) )
| ~ sequential(X0,X1) ) ),
inference(flattening,[],[f54]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ~ path(X0,X1,X2)
| X0 = X1
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) ) )
& ( ( path(X0,X1,X2)
& X0 != X1
& ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) ) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ~ path(X0,X1,X2)
| X0 = X1
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) ) )
& ( ( path(X0,X1,X2)
& X0 != X1
& ! [X3] :
( less_or_equal(length_of(X2),length_of(X3))
| ~ path(X0,X1,X3) ) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ~ path(X0,X1,X2)
| X0 = X1
| ? [X3] :
( ~ less_or_equal(length_of(X2),length_of(X3))
& path(X0,X1,X3) ) )
& ( ( path(X0,X1,X2)
& X0 != X1
& ! [X4] :
( less_or_equal(length_of(X2),length_of(X4))
| ~ path(X0,X1,X4) ) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(rectify,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ( shortest_path(X0,X1,X2)
| ~ path(X0,X1,X2)
| X0 = X1
| ( ~ less_or_equal(length_of(X2),length_of(sK5(X0,X1,X2)))
& path(X0,X1,sK5(X0,X1,X2)) ) )
& ( ( path(X0,X1,X2)
& X0 != X1
& ! [X4] :
( less_or_equal(length_of(X2),length_of(X4))
| ~ path(X0,X1,X4) ) )
| ~ shortest_path(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X1,X2))],[f62]) ).
fof(f65,plain,
( ! [X5] : ~ triangle(sK11,sK12,X5)
& shortest_path(sK8,sK9,sK10)
& on_path(sK11,sK10)
& on_path(sK12,sK10)
& sequential(sK11,sK12)
& complete ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11,sK12]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10),skolemize(X3,sK11),skolemize(X4,sK12)],[f45]) ).
fof(f66,plain,
! [X0] :
( head_of(X0) != tail_of(X0)
| ~ edge(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f67,plain,
! [X0] :
( ~ edge(X0)
| vertex(tail_of(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f68,plain,
! [X0] :
( ~ edge(X0)
| vertex(head_of(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f69,plain,
! [X0,X1] :
( tail_of(sK0(X0,X1)) = X0
| tail_of(sK0(X0,X1)) = X1
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete ),
inference(cnf_transformation,[],[f48]) ).
fof(f70,plain,
! [X0,X1] :
( tail_of(sK0(X0,X1)) = X0
| head_of(sK0(X0,X1)) = X0
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete ),
inference(cnf_transformation,[],[f48]) ).
fof(f71,plain,
! [X0,X1] :
( head_of(sK0(X0,X1)) = X1
| tail_of(sK0(X0,X1)) = X1
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete ),
inference(cnf_transformation,[],[f48]) ).
fof(f74,plain,
! [X0,X1] :
( edge(sK0(X0,X1))
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1
| ~ complete ),
inference(cnf_transformation,[],[f48]) ).
fof(f93,plain,
! [X0,X1] :
( X0 != X1
| ~ sequential(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f95,plain,
! [X0,X1] :
( ~ sequential(X0,X1)
| edge(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f96,plain,
! [X0,X1] :
( head_of(X0) != tail_of(X1)
| ~ edge(X0)
| ~ edge(X1)
| X0 = X1
| sequential(X0,X1) ),
inference(cnf_transformation,[],[f55]) ).
fof(f98,plain,
! [X2,X3,X0,X1,X4] :
( ~ path(X1,X2,X0)
| ~ on_path(X3,X0)
| ~ on_path(X4,X0)
| ~ sequential(X3,X4)
| precedes(X3,X4,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ shortest_path(X0,X1,X2)
| path(X0,X1,X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f109,plain,
! [X2,X3,X0,X1,X4] :
( ~ shortest_path(X0,X1,X4)
| ~ precedes(X3,X2,X4)
| ~ precedes(X2,X3,X4) ),
inference(cnf_transformation,[],[f37]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X4,X5] :
( tail_of(X2) != tail_of(X5)
| head_of(X3) != head_of(X5)
| ~ shortest_path(X0,X1,X4)
| ~ precedes(X2,X3,X4) ),
inference(cnf_transformation,[],[f37]) ).
fof(f111,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ edge(X0)
| ~ edge(X1)
| ~ edge(X2)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f119,plain,
complete,
inference(cnf_transformation,[],[f65]) ).
fof(f120,plain,
sequential(sK11,sK12),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
on_path(sK12,sK10),
inference(cnf_transformation,[],[f65]) ).
fof(f122,plain,
on_path(sK11,sK10),
inference(cnf_transformation,[],[f65]) ).
fof(f123,plain,
shortest_path(sK8,sK9,sK10),
inference(cnf_transformation,[],[f65]) ).
fof(f124,plain,
! [X5] : ~ triangle(sK11,sK12,X5),
inference(cnf_transformation,[],[f65]) ).
fof(f130,plain,
! [X1] : ~ sequential(X1,X1),
inference(equality_resolution,[],[f93]) ).
fof(f132,plain,
edge(sK12),
inference(unit_resulting_resolution,[],[f94,f120]) ).
fof(f134,plain,
vertex(head_of(sK12)),
inference(unit_resulting_resolution,[],[f68,f132]) ).
fof(f138,plain,
edge(sK11),
inference(unit_resulting_resolution,[],[f95,f120]) ).
fof(f141,plain,
vertex(tail_of(sK11)),
inference(unit_resulting_resolution,[],[f67,f138]) ).
fof(f145,plain,
head_of(sK11) != tail_of(sK11),
inference(unit_resulting_resolution,[],[f66,f138]) ).
fof(f154,plain,
path(sK8,sK9,sK10),
inference(unit_resulting_resolution,[],[f106,f123]) ).
fof(f232,plain,
! [X0,X1] :
( edge(sK0(X0,X1))
| ~ vertex(X0)
| ~ vertex(X1)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f74,f119]) ).
fof(f546,plain,
! [X0,X1] :
( ~ precedes(X1,X0,sK10)
| ~ precedes(X0,X1,sK10) ),
inference(resolution,[],[f109,f123]) ).
fof(f2599,plain,
precedes(sK11,sK12,sK10),
inference(unit_resulting_resolution,[],[f98,f121,f120,f122,f154]) ).
fof(f2604,plain,
~ precedes(sK12,sK11,sK10),
inference(unit_resulting_resolution,[],[f546,f2599]) ).
fof(f2613,plain,
~ sequential(sK12,sK11),
inference(unit_resulting_resolution,[],[f98,f154,f122,f121,f2604]) ).
fof(f4493,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ edge(X0)
| ~ edge(X2)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0) ),
inference(forward_subsumption_resolution,[],[f111,f94]) ).
fof(f4494,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ edge(X0)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0) ),
inference(forward_subsumption_resolution,[],[f4493,f94]) ).
fof(f4495,plain,
! [X2,X0,X1] :
( triangle(X0,X1,X2)
| ~ sequential(X0,X1)
| ~ sequential(X1,X2)
| ~ sequential(X2,X0) ),
inference(forward_subsumption_resolution,[],[f4494,f94]) ).
fof(f4695,plain,
! [X0] :
( ~ sequential(sK11,sK12)
| ~ sequential(sK12,X0)
| ~ sequential(X0,sK11) ),
inference(resolution,[],[f4495,f124]) ).
fof(f4698,plain,
! [X0] :
( ~ sequential(sK12,X0)
| ~ sequential(X0,sK11) ),
inference(forward_subsumption_resolution,[],[f4695,f120]) ).
fof(f7169,plain,
! [X0,X1] :
( ~ vertex(X1)
| tail_of(sK0(X0,X1)) = X1
| ~ vertex(X0)
| tail_of(sK0(X0,X1)) = X0
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f69,f119]) ).
fof(f8311,plain,
! [X0] :
( ~ vertex(X0)
| head_of(sK12) = tail_of(sK0(X0,head_of(sK12)))
| tail_of(sK0(X0,head_of(sK12))) = X0
| head_of(sK12) = X0 ),
inference(resolution,[],[f7169,f134]) ).
fof(f8552,plain,
! [X0,X1] :
( ~ vertex(X1)
| head_of(sK0(X0,X1)) = X0
| ~ vertex(X0)
| tail_of(sK0(X0,X1)) = X0
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f70,f119]) ).
fof(f8662,plain,
! [X0] :
( ~ vertex(X0)
| head_of(sK0(X0,head_of(sK12))) = X0
| tail_of(sK0(X0,head_of(sK12))) = X0
| head_of(sK12) = X0 ),
inference(resolution,[],[f8552,f134]) ).
fof(f8782,plain,
! [X0,X1] :
( ~ vertex(X1)
| tail_of(sK0(X0,X1)) = X1
| ~ vertex(X0)
| head_of(sK0(X0,X1)) = X1
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f71,f119]) ).
fof(f170971,definition,
( spl13_839
<=> head_of(sK12) = tail_of(sK11) ),
introduced(definition,[new_symbols(definition,[spl13_839])],[avatar_definition]) ).
fof(f170972,plain,
( head_of(sK12) = tail_of(sK11)
| ~ spl13_839 ),
inference(avatar_component_clause,[],[f170971]) ).
fof(f170973,plain,
( head_of(sK12) != tail_of(sK11)
| spl13_839 ),
inference(avatar_component_clause,[],[f170971]) ).
fof(f170980,plain,
( edge(sK0(tail_of(sK11),head_of(sK12)))
| spl13_839 ),
inference(unit_resulting_resolution,[],[f232,f141,f134,f170973]) ).
fof(f204502,plain,
( head_of(sK12) = tail_of(sK0(tail_of(sK11),head_of(sK12)))
| tail_of(sK11) = tail_of(sK0(tail_of(sK11),head_of(sK12)))
| head_of(sK12) = tail_of(sK11) ),
inference(resolution,[],[f8311,f141]) ).
fof(f204508,plain,
( head_of(sK12) = tail_of(sK0(tail_of(sK11),head_of(sK12)))
| tail_of(sK11) = tail_of(sK0(tail_of(sK11),head_of(sK12)))
| spl13_839 ),
inference(forward_subsumption_resolution,[],[f204502,f170973]) ).
fof(f206387,definition,
( spl13_935
<=> tail_of(sK11) = tail_of(sK0(tail_of(sK11),head_of(sK12))) ),
introduced(definition,[new_symbols(definition,[spl13_935])],[avatar_definition]) ).
fof(f206388,plain,
( tail_of(sK11) != tail_of(sK0(tail_of(sK11),head_of(sK12)))
| spl13_935 ),
inference(avatar_component_clause,[],[f206387]) ).
fof(f206389,plain,
( tail_of(sK11) = tail_of(sK0(tail_of(sK11),head_of(sK12)))
| ~ spl13_935 ),
inference(avatar_component_clause,[],[f206387]) ).
fof(f206391,definition,
( spl13_936
<=> head_of(sK12) = tail_of(sK0(tail_of(sK11),head_of(sK12))) ),
introduced(definition,[new_symbols(definition,[spl13_936])],[avatar_definition]) ).
fof(f206393,plain,
( head_of(sK12) = tail_of(sK0(tail_of(sK11),head_of(sK12)))
| ~ spl13_936 ),
inference(avatar_component_clause,[],[f206391]) ).
fof(f206394,plain,
( spl13_935
| spl13_936
| spl13_839 ),
inference(avatar_split_clause,[],[f204508,f170971,f206391,f206387]) ).
fof(f206395,plain,
( head_of(sK12) != head_of(sK0(tail_of(sK11),head_of(sK12)))
| ~ spl13_935 ),
inference(unit_resulting_resolution,[],[f110,f123,f2599,f206389]) ).
fof(f206491,plain,
( head_of(sK12) = tail_of(sK0(tail_of(sK11),head_of(sK12)))
| spl13_839
| ~ spl13_935 ),
inference(unit_resulting_resolution,[],[f8782,f141,f134,f170973,f206395]) ).
fof(f206497,plain,
( head_of(sK12) = tail_of(sK11)
| spl13_839
| ~ spl13_935 ),
inference(forward_demodulation,[],[f206491,f206389]) ).
fof(f206498,plain,
( $false
| spl13_839
| ~ spl13_935 ),
inference(forward_subsumption_resolution,[],[f206497,f170973]) ).
fof(f206499,plain,
( spl13_839
| ~ spl13_935 ),
inference(avatar_contradiction_clause,[],[f206498]) ).
fof(f206505,plain,
( tail_of(sK11) = head_of(sK0(tail_of(sK11),head_of(sK12)))
| spl13_839
| spl13_935 ),
inference(unit_resulting_resolution,[],[f8662,f141,f170973,f206388]) ).
fof(f206908,definition,
( spl13_937
<=> sequential(sK12,sK0(tail_of(sK11),head_of(sK12))) ),
introduced(definition,[new_symbols(definition,[spl13_937])],[avatar_definition]) ).
fof(f206909,plain,
( sequential(sK12,sK0(tail_of(sK11),head_of(sK12)))
| ~ spl13_937 ),
inference(avatar_component_clause,[],[f206908]) ).
fof(f206910,plain,
( ~ sequential(sK12,sK0(tail_of(sK11),head_of(sK12)))
| spl13_937 ),
inference(avatar_component_clause,[],[f206908]) ).
fof(f206916,plain,
( sK12 = sK0(tail_of(sK11),head_of(sK12))
| spl13_839
| ~ spl13_936
| spl13_937 ),
inference(unit_resulting_resolution,[],[f96,f132,f170980,f206393,f206910]) ).
fof(f206929,plain,
( head_of(sK12) = tail_of(sK11)
| spl13_839
| spl13_935
| ~ spl13_936
| spl13_937 ),
inference(superposition,[],[f206505,f206916]) ).
fof(f206943,plain,
( $false
| spl13_839
| spl13_935
| ~ spl13_936
| spl13_937 ),
inference(forward_subsumption_resolution,[],[f206929,f170973]) ).
fof(f206944,plain,
( spl13_839
| spl13_935
| ~ spl13_936
| spl13_937 ),
inference(avatar_contradiction_clause,[],[f206943]) ).
fof(f206954,plain,
( ~ sequential(sK0(tail_of(sK11),head_of(sK12)),sK11)
| ~ spl13_937 ),
inference(unit_resulting_resolution,[],[f4698,f206909]) ).
fof(f207051,plain,
( sK11 = sK0(tail_of(sK11),head_of(sK12))
| spl13_839
| spl13_935
| ~ spl13_937 ),
inference(unit_resulting_resolution,[],[f96,f138,f170980,f206505,f206954]) ).
fof(f207064,plain,
( head_of(sK11) = tail_of(sK11)
| spl13_839
| spl13_935
| ~ spl13_937 ),
inference(superposition,[],[f206505,f207051]) ).
fof(f207084,plain,
( $false
| spl13_839
| spl13_935
| ~ spl13_937 ),
inference(forward_subsumption_resolution,[],[f207064,f145]) ).
fof(f207085,plain,
( spl13_839
| spl13_935
| ~ spl13_937 ),
inference(avatar_contradiction_clause,[],[f207084]) ).
fof(f207201,plain,
( sK11 = sK12
| ~ spl13_839 ),
inference(unit_resulting_resolution,[],[f96,f138,f132,f2613,f170972]) ).
fof(f210532,plain,
( sequential(sK11,sK11)
| ~ spl13_839 ),
inference(superposition,[],[f120,f207201]) ).
fof(f212785,plain,
( $false
| ~ spl13_839 ),
inference(forward_subsumption_resolution,[],[f210532,f130]) ).
fof(f212786,plain,
~ spl13_839,
inference(avatar_contradiction_clause,[],[f212785]) ).
cnf(s755,plain,
( spl13_839
| spl13_935
| spl13_936 ),
inference(sat_conversion,[],[f206394]) ).
cnf(s756,plain,
( spl13_839
| ~ spl13_935 ),
inference(sat_conversion,[],[f206499]) ).
cnf(s759,plain,
( spl13_839
| spl13_935
| ~ spl13_936
| spl13_937 ),
inference(sat_conversion,[],[f206944]) ).
cnf(s764,plain,
( spl13_839
| spl13_935
| ~ spl13_937 ),
inference(sat_conversion,[],[f207085]) ).
cnf(s783,plain,
~ spl13_839,
inference(sat_conversion,[],[f212786]) ).
cnf(s785,plain,
( spl13_935
| ~ spl13_937 ),
inference(rat,[],[s764,s783]) ).
cnf(s790,plain,
( spl13_935
| ~ spl13_936
| spl13_937 ),
inference(rat,[],[s759,s783]) ).
cnf(s793,plain,
~ spl13_935,
inference(rat,[],[s756,s783]) ).
cnf(s794,plain,
~ spl13_937,
inference(rat,[],[s785,s793]) ).
cnf(s795,plain,
~ spl13_936,
inference(rat,[],[s790,s794,s793]) ).
cnf(s796,plain,
$false,
inference(rat,[],[s755,s795,s793,s783]) ).
fof(f212799,plain,
$false,
inference(avatar_sat_refutation,[],[s796]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRA009+1 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 % Computer : n002.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 08:50:06 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.56/3.94 % (3241832)Will run a generic schedule for satisfiability detection.
% 24.56/3.94 % (3241850)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2590230098:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 24.56/3.94 % (3241846)% WARNING: option uhcvi not known.
% 24.56/3.94 % (3241847)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=182957351:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 24.56/3.94 % (3241846)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3964619149:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 24.56/3.94 % (3241845)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=160825213_2999 on theBenchmark for (2999ds/0Mi)
% 24.56/3.94 % (3241848)dis+10_1_sil=32000:sp=arity:random_seed=3535205920:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 24.56/3.94 % (3241849)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=862010267:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 24.56/3.94 % (3241851)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=864405432:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 24.56/3.94 % TRYING [1]
% 24.56/3.94 % TRYING [2]
% 24.56/3.94 % TRYING [3]
% 24.56/3.94 % TRYING [4]
% 24.56/3.94 % (3241850)Instruction limit reached!
% 24.56/3.94 % (3241850)------------------------------
% 24.56/3.94 % (3241850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/3.94 % (3241850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/3.94 % (3241850)CaDiCaL version: 2.1.3
% 24.56/3.94 % (3241850)Termination reason: Instruction limit
% 24.56/3.94 % (3241850)Termination phase: Saturation
% 24.56/3.94 % (3241850)Time elapsed: 0.038 s
% 24.56/3.94 % (3241850)Peak memory usage: 12 MB
% 24.56/3.94 % (3241850)Instructions burned: 133 (million)
% 24.56/3.94 % (3241864)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2606964993:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 24.56/3.94 % TRYING [1]
% 24.56/3.94 % TRYING [2]
% 24.56/3.94 % TRYING [3]
% 24.56/3.94 % TRYING [4]
% 24.56/3.94 % (3241849)Instruction limit reached!
% 24.56/3.94 % (3241849)------------------------------
% 24.56/3.94 % (3241849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/3.94 % (3241849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/3.94 % (3241849)CaDiCaL version: 2.1.3
% 24.56/3.94 % (3241849)Termination reason: Instruction limit
% 24.56/3.94 % (3241849)Termination phase: Saturation
% 24.56/3.94 % (3241849)Time elapsed: 0.068 s
% 24.56/3.94 % (3241849)Peak memory usage: 13 MB
% 24.56/3.94 % (3241849)Instructions burned: 116 (million)
% 24.56/3.94 % TRYING [5]
% 24.56/3.94 % (3241848)Instruction limit reached!
% 24.56/3.94 % (3241848)------------------------------
% 24.56/3.94 % (3241848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/3.94 % (3241848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/3.94 % (3241848)CaDiCaL version: 2.1.3
% 24.56/3.94 % (3241848)Termination reason: Instruction limit
% 24.56/3.94 % (3241848)Termination phase: Saturation
% 24.56/3.94 % (3241848)Time elapsed: 0.079 s
% 24.56/3.94 % (3241848)Peak memory usage: 12 MB
% 24.56/3.94 % (3241848)Instructions burned: 104 (million)
% 24.56/3.94 % (3241872)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=957609370:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 24.56/3.94 % (3241851)Instruction limit reached!
% 24.56/3.94 % (3241851)------------------------------
% 24.56/3.94 % (3241851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 24.56/3.94 % (3241851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.56/3.94 % (3241851)CaDiCaL version: 2.1.3
% 24.56/3.94 % (3241851)Termination reason: Instruction limit
% 24.56/3.94 % (3241851)Termination phase: Saturation
% 24.56/3.94 % (3241851)Time elapsed: 0.091 s
% 24.56/3.94 % (3241851)Peak memory usage: 15 MB
% 24.56/3.94 % (3241851)Instructions burned: 159 (million)
% 24.56/3.94 % (3241873)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=662273035:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 24.56/3.94 % (3241875)ott-21_1_sil=16000:fs=off:random_seed=1672116901:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 24.56/3.94 % (3241872)Instruction limit reached!
% 24.56/3.94 % (3241872)------------------------------
% 24.56/3.94 % (3241872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.66/9.73 % (3241872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.66/9.73 % (3241872)CaDiCaL version: 2.1.3
% 65.66/9.73 % (3241872)Termination reason: Instruction limit
% 65.66/9.73 % (3241872)Termination phase: Saturation
% 65.66/9.73 % (3241872)Time elapsed: 0.079 s
% 65.66/9.73 % (3241872)Peak memory usage: 12 MB
% 65.66/9.73 % (3241872)Instructions burned: 131 (million)
% 65.66/9.73 % (3241878)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1137961184:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 65.66/9.73 % (3241875)Instruction limit reached!
% 65.66/9.73 % (3241875)------------------------------
% 65.66/9.73 % (3241875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.66/9.73 % (3241875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.66/9.73 % (3241875)CaDiCaL version: 2.1.3
% 65.66/9.73 % (3241875)Termination reason: Instruction limit
% 65.66/9.73 % (3241875)Termination phase: Saturation
% 65.66/9.73 % (3241875)Time elapsed: 0.096 s
% 65.66/9.73 % (3241875)Peak memory usage: 13 MB
% 65.66/9.73 % (3241875)Instructions burned: 182 (million)
% 65.66/9.73 % (3241880)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3862130405:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 65.66/9.73 % TRYING [1]
% 65.66/9.73 % TRYING [2]
% 65.66/9.73 % (3241864)Instruction limit reached!
% 65.66/9.73 % (3241864)------------------------------
% 65.66/9.73 % (3241864)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.66/9.73 % (3241864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.66/9.73 % (3241864)CaDiCaL version: 2.1.3
% 65.66/9.73 % (3241864)Termination reason: Instruction limit
% 65.66/9.73 % (3241864)Termination phase: Finite model building SAT solving
% 65.66/9.73 % (3241864)Time elapsed: 0.201 s
% 65.66/9.73 % (3241864)Peak memory usage: 16 MB
% 65.66/9.73 % (3241864)Instructions burned: 716 (million)
% 65.66/9.73 % TRYING [3]
% 65.66/9.73 % (3241882)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2317414635:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 65.66/9.73 % TRYING [4]
% 65.66/9.73 % TRYING [6]
% 65.66/9.73 % TRYING [5]
% 65.66/9.73 % (3241873)Instruction limit reached!
% 65.66/9.73 % (3241873)------------------------------
% 65.66/9.73 % (3241873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.66/9.73 % (3241873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.66/9.73 % (3241873)CaDiCaL version: 2.1.3
% 65.66/9.73 % (3241873)Termination reason: Instruction limit
% 65.66/9.73 % (3241873)Termination phase: Saturation
% 65.66/9.73 % (3241873)Time elapsed: 0.472 s
% 65.66/9.73 % (3241873)Peak memory usage: 18 MB
% 65.66/9.73 % (3241873)Instructions burned: 685 (million)
% 65.66/9.73 % (3241878)Instruction limit reached!
% 65.66/9.73 % (3241878)------------------------------
% 65.66/9.73 % (3241878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.66/9.73 % (3241878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.66/9.73 % (3241878)CaDiCaL version: 2.1.3
% 65.66/9.73 % (3241878)Termination reason: Instruction limit
% 65.66/9.73 % (3241878)Termination phase: Saturation
% 65.66/9.73 % (3241878)Time elapsed: 0.402 s
% 65.66/9.73 % (3241878)Peak memory usage: 14 MB
% 65.66/9.73 % (3241878)Instructions burned: 477 (million)
% 65.66/9.73 % (3241918)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1407082737:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 65.66/9.73 % (3241920)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3946482928:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 65.66/9.73 % TRYING [6]
% 65.66/9.73 % (3241880)Instruction limit reached!
% 65.66/9.73 % (3241880)------------------------------
% 65.66/9.73 % (3241880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.66/9.73 % (3241880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 65.66/9.73 % (3241880)CaDiCaL version: 2.1.3
% 65.66/9.73 % (3241880)Termination reason: Instruction limit
% 65.66/9.73 % (3241880)Termination phase: Finite model building constraint generation
% 65.66/9.73 % (3241880)Time elapsed: 0.501 s
% 65.66/9.73 % (3241880)Peak memory usage: 20 MB
% 65.66/9.73 % (3241880)Instructions burned: 867 (million)
% 65.66/9.73 % (3241882)Instruction limit reached!
% 65.66/9.73 % (3241882)------------------------------
% 65.66/9.73 % (3241882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 65.66/9.73 % (3241882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.26/17.41 % (3241882)CaDiCaL version: 2.1.3
% 120.26/17.41 % (3241882)Termination reason: Instruction limit
% 120.26/17.41 % (3241882)Termination phase: Saturation
% 120.26/17.41 % (3241882)Time elapsed: 0.520 s
% 120.26/17.41 % (3241882)Peak memory usage: 20 MB
% 120.26/17.41 % (3241882)Instructions burned: 1180 (million)
% 120.26/17.41 % (3241927)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1245601538:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 120.26/17.41 % TRYING [7]
% 120.26/17.41 % (3241928)fmb+10_1_sil=64000:random_seed=1111781368:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 120.26/17.41 % TRYING [1]
% 120.26/17.41 % TRYING [2]
% 120.26/17.41 % TRYING [3]
% 120.26/17.41 % TRYING [4]
% 120.26/17.41 % TRYING [14]
% 120.26/17.41 % TRYING [5]
% 120.26/17.41 % TRYING [6]
% 120.26/17.41 % (3241920)Instruction limit reached!
% 120.26/17.41 % (3241920)------------------------------
% 120.26/17.41 % (3241920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 120.26/17.41 % (3241920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.26/17.41 % (3241920)CaDiCaL version: 2.1.3
% 120.26/17.41 % (3241920)Termination reason: Instruction limit
% 120.26/17.41 % (3241920)Termination phase: Saturation
% 120.26/17.41 % (3241920)Time elapsed: 0.511 s
% 120.26/17.41 % (3241920)Peak memory usage: 17 MB
% 120.26/17.41 % (3241920)Instructions burned: 693 (million)
% 120.26/17.41 % (3241933)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2979855706:i=9515:nm=5_2988 on theBenchmark for (2988ds/9515Mi)
% 120.26/17.41 % TRYING [20]
% 120.26/17.41 % (3241918)Instruction limit reached!
% 120.26/17.41 % (3241918)------------------------------
% 120.26/17.41 % (3241918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 120.26/17.41 % (3241918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.26/17.41 % (3241918)CaDiCaL version: 2.1.3
% 120.26/17.41 % (3241918)Termination reason: Instruction limit
% 120.26/17.41 % (3241918)Termination phase: Finite model building constraint generation
% 120.26/17.41 % (3241918)Time elapsed: 0.672 s
% 120.26/17.41 % (3241918)Peak memory usage: 70 MB
% 120.26/17.41 % (3241918)Instructions burned: 890 (million)
% 120.26/17.41 % (3241938)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3322357022:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 120.26/17.41 % TRYING [8]
% 120.26/17.41 % TRYING [7]
% 120.26/17.41 % (3241927)Instruction limit reached!
% 120.26/17.41 % (3241927)------------------------------
% 120.26/17.41 % (3241927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 120.26/17.41 % (3241927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.26/17.41 % (3241927)CaDiCaL version: 2.1.3
% 120.26/17.41 % (3241927)Termination reason: Instruction limit
% 120.26/17.41 % (3241927)Termination phase: Saturation
% 120.26/17.41 % (3241927)Time elapsed: 0.820 s
% 120.26/17.41 % (3241927)Peak memory usage: 18 MB
% 120.26/17.41 % (3241927)Instructions burned: 879 (million)
% 120.26/17.41 % (3241943)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=319268913:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 120.26/17.41 % (3241938)Instruction limit reached!
% 120.26/17.41 % (3241938)------------------------------
% 120.26/17.41 % (3241938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 120.26/17.41 % (3241938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.26/17.41 % (3241938)CaDiCaL version: 2.1.3
% 120.26/17.41 % (3241938)Termination reason: Instruction limit
% 120.26/17.41 % (3241938)Termination phase: Finite model building constraint generation
% 120.26/17.41 % (3241938)Time elapsed: 0.682 s
% 120.26/17.41 % (3241938)Peak memory usage: 64 MB
% 120.26/17.41 % (3241938)Instructions burned: 920 (million)
% 120.26/17.41 % (3241949)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1054641602:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 120.26/17.41 % TRYING [8]
% 120.26/17.41 % TRYING [8]
% 120.26/17.41 % (3241949)Instruction limit reached!
% 120.26/17.41 % (3241949)------------------------------
% 120.26/17.41 % (3241949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 120.26/17.41 % (3241949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.26/17.41 % (3241949)CaDiCaL version: 2.1.3
% 120.26/17.41 % (3241949)Termination reason: Instruction limit
% 120.26/17.41 % (3241949)Termination phase: Saturation
% 120.26/17.41 % (3241949)Time elapsed: 1.371 s
% 120.26/17.41 % (3241949)Peak memory usage: 24 MB
% 120.26/17.41 % (3241949)Instructions burned: 1472 (million)
% 120.26/17.41 % (3241957)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2267974732:i=6324_2965 on theBenchmark for (2965ds/6324Mi)
% 148.61/21.48 % TRYING [77]
% 148.61/21.48 % TRYING [9]
% 148.61/21.48 % TRYING [9]
% 148.61/21.48 % (3241933)Instruction limit reached!
% 148.61/21.48 % (3241933)------------------------------
% 148.61/21.48 % (3241933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241933)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241933)Termination reason: Instruction limit
% 148.61/21.48 % (3241933)Termination phase: Finite model building constraint generation
% 148.61/21.48 % (3241933)Time elapsed: 4.543 s
% 148.61/21.48 % (3241933)Peak memory usage: 848 MB
% 148.61/21.48 % (3241933)Instructions burned: 9515 (million)
% 148.61/21.48 % (3241961)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=403532899:fmbsr=2.30978:i=2174_2941 on theBenchmark for (2941ds/2174Mi)
% 148.61/21.48 % TRYING [16]
% 148.61/21.48 % (3241943)Instruction limit reached!
% 148.61/21.48 % (3241943)------------------------------
% 148.61/21.48 % (3241943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241943)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241943)Termination reason: Instruction limit
% 148.61/21.48 % (3241943)Termination phase: Saturation
% 148.61/21.48 % (3241943)Time elapsed: 4.445 s
% 148.61/21.48 % (3241943)Peak memory usage: 24 MB
% 148.61/21.48 % (3241943)Instructions burned: 5132 (million)
% 148.61/21.48 % (3241963)ott-2_1_sil=16000:newcnf=on:random_seed=3396744952:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2938 on theBenchmark for (2938ds/869Mi)
% 148.61/21.48 % (3241961)Instruction limit reached!
% 148.61/21.48 % (3241961)------------------------------
% 148.61/21.48 % (3241961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241961)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241961)Termination reason: Instruction limit
% 148.61/21.48 % (3241961)Termination phase: Finite model building constraint generation
% 148.61/21.48 % (3241961)Time elapsed: 0.866 s
% 148.61/21.48 % (3241961)Peak memory usage: 126 MB
% 148.61/21.48 % (3241961)Instructions burned: 2182 (million)
% 148.61/21.48 % (3241967)ott+10_1_sil=32000:tgt=ground:random_seed=3473799924:i=5114:av=off_2932 on theBenchmark for (2932ds/5114Mi)
% 148.61/21.48 % (3241963)Instruction limit reached!
% 148.61/21.48 % (3241963)------------------------------
% 148.61/21.48 % (3241963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241963)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241963)Termination reason: Instruction limit
% 148.61/21.48 % (3241963)Termination phase: Saturation
% 148.61/21.48 % (3241963)Time elapsed: 0.793 s
% 148.61/21.48 % (3241963)Peak memory usage: 19 MB
% 148.61/21.48 % (3241963)Instructions burned: 869 (million)
% 148.61/21.48 % (3241969)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1485891740:i=54282_2930 on theBenchmark for (2930ds/54282Mi)
% 148.61/21.48 % TRYING [1]
% 148.61/21.48 % TRYING [2]
% 148.61/21.48 % TRYING [3]
% 148.61/21.48 % TRYING [4]
% 148.61/21.48 % TRYING [5]
% 148.61/21.48 % TRYING [6]
% 148.61/21.48 % TRYING [7]
% 148.61/21.48 % (3241957)Instruction limit reached!
% 148.61/21.48 % (3241957)------------------------------
% 148.61/21.48 % (3241957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241957)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241957)Termination reason: Instruction limit
% 148.61/21.48 % (3241957)Termination phase: Finite model building constraint generation
% 148.61/21.48 % (3241957)Time elapsed: 4.727 s
% 148.61/21.48 % (3241957)Peak memory usage: 447 MB
% 148.61/21.48 % (3241957)Instructions burned: 6325 (million)
% 148.61/21.48 % (3241973)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2929696992:i=3512:aac=none_2916 on theBenchmark for (2916ds/3512Mi)
% 148.61/21.48 % (3241967)Instruction limit reached!
% 148.61/21.48 % (3241967)------------------------------
% 148.61/21.48 % (3241967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241967)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241967)Termination reason: Instruction limit
% 148.61/21.48 % (3241967)Termination phase: Saturation
% 148.61/21.48 % (3241967)Time elapsed: 2.489 s
% 148.61/21.48 % (3241967)Peak memory usage: 46 MB
% 148.61/21.48 % (3241967)Instructions burned: 5115 (million)
% 148.61/21.48 % (3241979)dis+21_1_sil=32000:sas=cadical:random_seed=27050457:i=3773:amm=off_2907 on theBenchmark for (2907ds/3773Mi)
% 148.61/21.48 % TRYING [8]
% 148.61/21.48 % (3241979)Instruction limit reached!
% 148.61/21.48 % (3241979)------------------------------
% 148.61/21.48 % (3241979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241979)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241979)Termination reason: Instruction limit
% 148.61/21.48 % (3241979)Termination phase: Saturation
% 148.61/21.48 % (3241979)Time elapsed: 1.223 s
% 148.61/21.48 % (3241979)Peak memory usage: 34 MB
% 148.61/21.48 % (3241979)Instructions burned: 3778 (million)
% 148.61/21.48 % (3242134)ott+11_1_sil=16000:gs=on:random_seed=1470137702:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2894 on theBenchmark for (2894ds/2251Mi)
% 148.61/21.48 % (3241973)Instruction limit reached!
% 148.61/21.48 % (3241973)------------------------------
% 148.61/21.48 % (3241973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241973)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241973)Termination reason: Instruction limit
% 148.61/21.48 % (3241973)Termination phase: Saturation
% 148.61/21.48 % (3241973)Time elapsed: 2.436 s
% 148.61/21.48 % (3241973)Peak memory usage: 26 MB
% 148.61/21.48 % (3241973)Instructions burned: 3512 (million)
% 148.61/21.48 % (3242136)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2882699740:fmbsr=1.6:i=67534_2891 on theBenchmark for (2891ds/67534Mi)
% 148.61/21.48 % TRYING [7]
% 148.61/21.48 % (3242134)Instruction limit reached!
% 148.61/21.48 % (3242134)------------------------------
% 148.61/21.48 % (3242134)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3242134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3242134)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3242134)Termination reason: Instruction limit
% 148.61/21.48 % (3242134)Termination phase: Saturation
% 148.61/21.48 % (3242134)Time elapsed: 0.758 s
% 148.61/21.48 % (3242134)Peak memory usage: 26 MB
% 148.61/21.48 % (3242134)Instructions burned: 2252 (million)
% 148.61/21.48 % (3242138)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=3128272255:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2886 on theBenchmark for (2886ds/4591Mi)
% 148.61/21.48 % TRYING [9]
% 148.61/21.48 % (3242138)Instruction limit reached!
% 148.61/21.48 % (3242138)------------------------------
% 148.61/21.48 % (3242138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3242138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3242138)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3242138)Termination reason: Instruction limit
% 148.61/21.48 % (3242138)Termination phase: Saturation
% 148.61/21.48 % (3242138)Time elapsed: 1.284 s
% 148.61/21.48 % (3242138)Peak memory usage: 46 MB
% 148.61/21.48 % (3242138)Instructions burned: 4592 (million)
% 148.61/21.48 % (3242140)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=997793632:i=29340_2873 on theBenchmark for (2873ds/29340Mi)
% 148.61/21.48 % TRYING [8]
% 148.61/21.48 % TRYING [10]
% 148.61/21.48 % (3241928)Instruction limit reached!
% 148.61/21.48 % (3241928)------------------------------
% 148.61/21.48 % (3241928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3241928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3241928)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3241928)Termination reason: Instruction limit
% 148.61/21.48 % (3241928)Termination phase: Finite model building SAT solving
% 148.61/21.48 % (3241928)Time elapsed: 13.099 s
% 148.61/21.48 % (3241928)Peak memory usage: 70 MB
% 148.61/21.48 % (3241928)Instructions burned: 22062 (million)
% 148.61/21.48 % (3242330)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1294771247:i=5211_2860 on theBenchmark for (2860ds/5211Mi)
% 148.61/21.48 % TRYING [10]
% 148.61/21.48 % (3242330)Instruction limit reached!
% 148.61/21.48 % (3242330)------------------------------
% 148.61/21.48 % (3242330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3242330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3242330)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3242330)Termination reason: Instruction limit
% 148.61/21.48 % (3242330)Termination phase: Saturation
% 148.61/21.48 % (3242330)Time elapsed: 2.997 s
% 148.61/21.48 % (3242330)Peak memory usage: 52 MB
% 148.61/21.48 % (3242330)Instructions burned: 5212 (million)
% 148.61/21.48 % (3242393)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=4027206965:i=5497:nm=2_2830 on theBenchmark for (2830ds/5497Mi)
% 148.61/21.48 % TRYING [17]
% 148.61/21.48 % TRYING [9]
% 148.61/21.48 % (3242393)Instruction limit reached!
% 148.61/21.48 % (3242393)------------------------------
% 148.61/21.48 % (3242393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3242393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3242393)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3242393)Termination reason: Instruction limit
% 148.61/21.48 % (3242393)Termination phase: Finite model building constraint generation
% 148.61/21.48 % (3242393)Time elapsed: 2.735 s
% 148.61/21.48 % (3242393)Peak memory usage: 475 MB
% 148.61/21.48 % (3242393)Instructions burned: 5497 (million)
% 148.61/21.48 % (3242395)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1910403041:fmbsr=2:i=46332_2802 on theBenchmark for (2802ds/46332Mi)
% 148.61/21.48 % TRYING [15]
% 148.61/21.48 % (3242140) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3241832-3242140"...
% 148.61/21.48 % (3242140)...printing done.
% 148.61/21.48 % (3242140)Refutation found. Thanks to Tanya!
% 148.61/21.48 % SZS status Theorem for theBenchmark
% 148.61/21.48 % SZS output start Proof for theBenchmark
% See solution above
% 148.61/21.48 % (3242140)------------------------------
% 148.61/21.48 % (3242140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 148.61/21.48 % (3242140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 148.61/21.48 % (3242140)CaDiCaL version: 2.1.3
% 148.61/21.48 % (3242140)Termination reason: Refutation
% 148.61/21.48 % (3242140)Time elapsed: 8.364 s
% 148.61/21.48 % (3242140)Peak memory usage: 104 MB
% 148.61/21.48 % (3242140)Instructions burned: 28850 (million)
% 148.61/21.48 % (3241832)Success in time 21.048 s
% 148.61/21.48 % Vampire exiting
%------------------------------------------------------------------------------