%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRA009+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 10:08:27 AM UTC 2026
% Result : Theorem 32.67s 14.84s
% Output : Refutation 32.67s
% 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 |; 95 &)
% ( 8 <=>; 15 =>; 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/sandbox/benchmark/Axioms/GRA001+0.ax',no_loops) ).
fof(f2,axiom,
! [X0] :
( edge(X0)
=> ( vertex(head_of(X0))
& vertex(tail_of(X0)) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',triangle_defn) ).
fof(f18,conjecture,
( complete
=> ! [X0,X1,X2] :
( shortest_path(X1,X2,X0)
=> ! [X3,X4] :
( ( on_path(X3,X0)
& on_path(X4,X0)
& sequential(X3,X4) )
=> ? [X5] : triangle(X3,X4,X5) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complete_means_path_means_stuff_means_triangles) ).
fof(f19,negated_conjecture,
~ ( complete
=> ! [X0,X1,X2] :
( shortest_path(X1,X2,X0)
=> ! [X3,X4] :
( ( on_path(X3,X0)
& on_path(X4,X0)
& 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)
& on_path(X3,X0)
& on_path(X4,X0)
& sequential(X3,X4) )
& shortest_path(X1,X2,X0) )
& complete ),
inference(ennf_transformation,[],[f19]) ).
fof(f45,plain,
( ? [X0,X1,X2] :
( ? [X3,X4] :
( ! [X5] : ~ triangle(X3,X4,X5)
& on_path(X3,X0)
& on_path(X4,X0)
& sequential(X3,X4) )
& shortest_path(X1,X2,X0) )
& 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)
& on_path(sK11,sK8)
& on_path(sK12,sK8)
& sequential(sK11,sK12)
& shortest_path(sK9,sK10,sK8)
& 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,
shortest_path(sK9,sK10,sK8),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
sequential(sK11,sK12),
inference(cnf_transformation,[],[f65]) ).
fof(f122,plain,
on_path(sK12,sK8),
inference(cnf_transformation,[],[f65]) ).
fof(f123,plain,
on_path(sK11,sK8),
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,f121]) ).
fof(f134,plain,
vertex(head_of(sK12)),
inference(unit_resulting_resolution,[],[f68,f132]) ).
fof(f138,plain,
edge(sK11),
inference(unit_resulting_resolution,[],[f95,f121]) ).
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(sK9,sK10,sK8),
inference(unit_resulting_resolution,[],[f106,f120]) ).
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,sK8)
| ~ precedes(X0,X1,sK8) ),
inference(resolution,[],[f109,f120]) ).
fof(f2599,plain,
precedes(sK11,sK12,sK8),
inference(unit_resulting_resolution,[],[f98,f122,f121,f123,f154]) ).
fof(f2604,plain,
~ precedes(sK12,sK11,sK8),
inference(unit_resulting_resolution,[],[f546,f2599]) ).
fof(f2613,plain,
~ sequential(sK12,sK11),
inference(unit_resulting_resolution,[],[f98,f154,f123,f122,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,f121]) ).
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,f120,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,[],[f121,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
% 0.00/0.01 % Problem : GRA009+2 : TPTP v9.3.1. Bugfixed v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 08:47:20 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 Running first-order model finding
% 0.04/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.35/1.65 % (2073157)Will run a generic schedule for satisfiability detection.
% 8.35/1.65 % (2073163)% WARNING: option uhcvi not known.
% 8.35/1.65 % (2073168)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2690277638:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.35/1.65 % (2073165)dis+10_1_sil=32000:sp=arity:random_seed=592389871:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.35/1.65 % (2073162)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4020292552_2999 on theBenchmark for (2999ds/0Mi)
% 8.35/1.65 % (2073166)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1939076123:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.35/1.65 % (2073167)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1241934727:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.35/1.65 % (2073164)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3842423837:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.35/1.65 % (2073163)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1548325836:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.35/1.65 % TRYING [1]
% 8.35/1.65 % TRYING [2]
% 8.35/1.65 % TRYING [3]
% 8.35/1.65 % TRYING [4]
% 8.35/1.65 % (2073165)Instruction limit reached!
% 8.35/1.65 % (2073165)------------------------------
% 8.35/1.65 % (2073165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.65 % (2073165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.65 % (2073165)CaDiCaL version: 2.1.3
% 8.35/1.65 % (2073165)Termination reason: Instruction limit
% 8.35/1.65 % (2073165)Termination phase: Saturation
% 8.35/1.65 % (2073165)Time elapsed: 0.038 s
% 8.35/1.65 % (2073165)Peak memory usage: 12 MB
% 8.35/1.65 % (2073165)Instructions burned: 104 (million)
% 8.35/1.65 % (2073166)Instruction limit reached!
% 8.35/1.65 % (2073166)------------------------------
% 8.35/1.65 % (2073166)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.65 % (2073166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.65 % (2073166)CaDiCaL version: 2.1.3
% 8.35/1.65 % (2073166)Termination reason: Instruction limit
% 8.35/1.65 % (2073166)Termination phase: Saturation
% 8.35/1.65 % (2073166)Time elapsed: 0.039 s
% 8.35/1.65 % (2073166)Peak memory usage: 12 MB
% 8.35/1.65 % (2073166)Instructions burned: 118 (million)
% 8.35/1.65 % (2073167)Instruction limit reached!
% 8.35/1.65 % (2073167)------------------------------
% 8.35/1.65 % (2073167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.65 % (2073167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.65 % (2073167)CaDiCaL version: 2.1.3
% 8.35/1.65 % (2073167)Termination reason: Instruction limit
% 8.35/1.65 % (2073167)Termination phase: Saturation
% 8.35/1.65 % (2073167)Time elapsed: 0.040 s
% 8.35/1.65 % (2073167)Peak memory usage: 13 MB
% 8.35/1.65 % (2073167)Instructions burned: 133 (million)
% 8.35/1.65 % (2073177)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3484350810:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.35/1.65 % (2073176)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4167074924:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.35/1.65 % (2073178)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=464987386:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 8.35/1.65 % TRYING [1]
% 8.35/1.65 % TRYING [2]
% 8.35/1.65 % TRYING [3]
% 8.35/1.65 % TRYING [5]
% 8.35/1.65 % (2073168)Instruction limit reached!
% 8.35/1.65 % (2073168)------------------------------
% 8.35/1.65 % (2073168)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.65 % (2073168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.65 % (2073168)CaDiCaL version: 2.1.3
% 8.35/1.65 % (2073168)Termination reason: Instruction limit
% 8.35/1.65 % (2073168)Termination phase: Saturation
% 8.35/1.65 % (2073168)Time elapsed: 0.059 s
% 8.35/1.65 % (2073168)Peak memory usage: 14 MB
% 8.35/1.65 % (2073168)Instructions burned: 161 (million)
% 8.35/1.65 % (2073182)ott-21_1_sil=16000:fs=off:random_seed=551954445:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 8.35/1.65 % TRYING [4]
% 8.35/1.65 % (2073177)Instruction limit reached!
% 8.35/1.65 % (2073177)------------------------------
% 8.35/1.65 % (2073177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.23/4.53 % (2073177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.23/4.53 % (2073177)CaDiCaL version: 2.1.3
% 29.23/4.53 % (2073177)Termination reason: Instruction limit
% 29.23/4.53 % (2073177)Termination phase: Saturation
% 29.23/4.53 % (2073177)Time elapsed: 0.044 s
% 29.23/4.53 % (2073177)Peak memory usage: 12 MB
% 29.23/4.53 % (2073177)Instructions burned: 134 (million)
% 29.23/4.53 % (2073184)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2695897766:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 29.23/4.53 % (2073182)Instruction limit reached!
% 29.23/4.53 % (2073182)------------------------------
% 29.23/4.53 % (2073182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.23/4.53 % (2073182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.23/4.53 % (2073182)CaDiCaL version: 2.1.3
% 29.23/4.53 % (2073182)Termination reason: Instruction limit
% 29.23/4.53 % (2073182)Termination phase: Saturation
% 29.23/4.53 % (2073182)Time elapsed: 0.052 s
% 29.23/4.53 % (2073182)Peak memory usage: 12 MB
% 29.23/4.53 % (2073182)Instructions burned: 182 (million)
% 29.23/4.53 % (2073186)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3118946614:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 29.23/4.53 % TRYING [1]
% 29.23/4.53 % TRYING [2]
% 29.23/4.53 % TRYING [6]
% 29.23/4.53 % TRYING [3]
% 29.23/4.53 % TRYING [4]
% 29.23/4.53 % TRYING [5]
% 29.23/4.53 % (2073178)Instruction limit reached!
% 29.23/4.53 % (2073178)------------------------------
% 29.23/4.53 % (2073178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.23/4.53 % (2073178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.23/4.53 % (2073178)CaDiCaL version: 2.1.3
% 29.23/4.53 % (2073178)Termination reason: Instruction limit
% 29.23/4.53 % (2073178)Termination phase: Saturation
% 29.23/4.53 % (2073178)Time elapsed: 0.190 s
% 29.23/4.53 % (2073178)Peak memory usage: 19 MB
% 29.23/4.53 % (2073178)Instructions burned: 686 (million)
% 29.23/4.53 % (2073188)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1972006178:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 29.23/4.53 % (2073176)Instruction limit reached!
% 29.23/4.53 % (2073176)------------------------------
% 29.23/4.53 % (2073176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.23/4.53 % (2073176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.23/4.53 % (2073176)CaDiCaL version: 2.1.3
% 29.23/4.53 % (2073176)Termination reason: Instruction limit
% 29.23/4.53 % (2073176)Termination phase: Finite model building SAT solving
% 29.23/4.53 % (2073176)Time elapsed: 0.207 s
% 29.23/4.53 % (2073176)Peak memory usage: 16 MB
% 29.23/4.53 % (2073176)Instructions burned: 717 (million)
% 29.23/4.53 % (2073190)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=145689813:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 29.23/4.53 % (2073184)Instruction limit reached!
% 29.23/4.53 % (2073184)------------------------------
% 29.23/4.53 % (2073184)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.23/4.53 % (2073184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.23/4.53 % (2073184)CaDiCaL version: 2.1.3
% 29.23/4.53 % (2073184)Termination reason: Instruction limit
% 29.23/4.53 % (2073184)Termination phase: Saturation
% 29.23/4.53 % (2073184)Time elapsed: 0.178 s
% 29.23/4.53 % (2073184)Peak memory usage: 14 MB
% 29.23/4.53 % (2073184)Instructions burned: 478 (million)
% 29.23/4.53 % (2073192)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=3501476126:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 29.23/4.53 % TRYING [7]
% 29.23/4.53 % TRYING [6]
% 29.23/4.53 % (2073186)Instruction limit reached!
% 29.23/4.53 % (2073186)------------------------------
% 29.23/4.53 % (2073186)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.23/4.53 % (2073186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.23/4.53 % (2073186)CaDiCaL version: 2.1.3
% 29.23/4.53 % (2073186)Termination reason: Instruction limit
% 29.23/4.53 % (2073186)Termination phase: Finite model building constraint generation
% 29.23/4.53 % (2073186)Time elapsed: 0.185 s
% 29.23/4.53 % (2073186)Peak memory usage: 20 MB
% 29.23/4.53 % (2073186)Instructions burned: 867 (million)
% 29.23/4.53 % (2073194)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2533785638:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 29.23/4.53 % TRYING [14]
% 29.23/4.53 % (2073190)Instruction limit reached!
% 58.16/8.68 % (2073190)------------------------------
% 58.16/8.68 % (2073190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.16/8.68 % (2073190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.16/8.68 % (2073190)CaDiCaL version: 2.1.3
% 58.16/8.68 % (2073190)Termination reason: Instruction limit
% 58.16/8.68 % (2073190)Termination phase: Finite model building constraint generation
% 58.16/8.68 % (2073190)Time elapsed: 0.183 s
% 58.16/8.68 % (2073190)Peak memory usage: 70 MB
% 58.16/8.68 % (2073190)Instructions burned: 889 (million)
% 58.16/8.68 % (2073196)fmb+10_1_sil=64000:random_seed=3625469034:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 58.16/8.68 % TRYING [1]
% 58.16/8.68 % TRYING [2]
% 58.16/8.68 % TRYING [3]
% 58.16/8.68 % TRYING [4]
% 58.16/8.68 % (2073192)Instruction limit reached!
% 58.16/8.68 % (2073192)------------------------------
% 58.16/8.68 % (2073192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.16/8.68 % (2073192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.16/8.68 % (2073192)CaDiCaL version: 2.1.3
% 58.16/8.68 % (2073192)Termination reason: Instruction limit
% 58.16/8.68 % (2073192)Termination phase: Saturation
% 58.16/8.68 % (2073192)Time elapsed: 0.198 s
% 58.16/8.68 % (2073192)Peak memory usage: 19 MB
% 58.16/8.68 % (2073192)Instructions burned: 695 (million)
% 58.16/8.68 % TRYING [5]
% 58.16/8.68 % (2073198)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1392891121:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 58.16/8.68 % TRYING [20]
% 58.16/8.68 % TRYING [6]
% 58.16/8.68 % (2073194)Instruction limit reached!
% 58.16/8.68 % (2073194)------------------------------
% 58.16/8.68 % (2073194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.16/8.68 % (2073194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.16/8.68 % (2073194)CaDiCaL version: 2.1.3
% 58.16/8.68 % (2073194)Termination reason: Instruction limit
% 58.16/8.68 % (2073194)Termination phase: Saturation
% 58.16/8.68 % (2073194)Time elapsed: 0.266 s
% 58.16/8.68 % (2073194)Peak memory usage: 18 MB
% 58.16/8.68 % (2073194)Instructions burned: 879 (million)
% 58.16/8.68 % (2073188)Instruction limit reached!
% 58.16/8.68 % (2073188)------------------------------
% 58.16/8.68 % (2073188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.16/8.68 % (2073188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.16/8.68 % (2073188)CaDiCaL version: 2.1.3
% 58.16/8.68 % (2073188)Termination reason: Instruction limit
% 58.16/8.68 % (2073188)Termination phase: Saturation
% 58.16/8.68 % (2073188)Time elapsed: 0.354 s
% 58.16/8.68 % (2073188)Peak memory usage: 21 MB
% 58.16/8.68 % (2073188)Instructions burned: 1182 (million)
% 58.16/8.68 % (2073200)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3582677609:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 58.16/8.68 % TRYING [8]
% 58.16/8.68 % (2073201)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3510243058:i=5131_2993 on theBenchmark for (2993ds/5131Mi)
% 58.16/8.68 % TRYING [8]
% 58.16/8.68 % TRYING [7]
% 58.16/8.68 % (2073200)Instruction limit reached!
% 58.16/8.68 % (2073200)------------------------------
% 58.16/8.68 % (2073200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.16/8.68 % (2073200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.16/8.68 % (2073200)CaDiCaL version: 2.1.3
% 58.16/8.68 % (2073200)Termination reason: Instruction limit
% 58.16/8.68 % (2073200)Termination phase: Finite model building constraint generation
% 58.16/8.68 % (2073200)Time elapsed: 0.196 s
% 58.16/8.68 % (2073200)Peak memory usage: 64 MB
% 58.16/8.68 % (2073200)Instructions burned: 924 (million)
% 58.16/8.68 % (2073204)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4145184790:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 58.16/8.68 % TRYING [8]
% 58.16/8.68 % (2073204)Instruction limit reached!
% 58.16/8.68 % (2073204)------------------------------
% 58.16/8.68 % (2073204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 58.16/8.68 % (2073204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.16/8.68 % (2073204)CaDiCaL version: 2.1.3
% 58.16/8.68 % (2073204)Termination reason: Instruction limit
% 58.16/8.68 % (2073204)Termination phase: Saturation
% 58.16/8.68 % (2073204)Time elapsed: 0.448 s
% 58.16/8.68 % (2073204)Peak memory usage: 24 MB
% 58.16/8.68 % (2073204)Instructions burned: 1473 (million)
% 58.16/8.68 % (2073206)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=514263297:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 32.67/14.84 % TRYING [77]
% 32.67/14.84 % TRYING [9]
% 32.67/14.84 % TRYING [9]
% 32.67/14.84 % (2073201)Instruction limit reached!
% 32.67/14.84 % (2073201)------------------------------
% 32.67/14.84 % (2073201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073201)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073201)Termination reason: Instruction limit
% 32.67/14.84 % (2073201)Termination phase: Saturation
% 32.67/14.84 % (2073201)Time elapsed: 1.398 s
% 32.67/14.84 % (2073201)Peak memory usage: 24 MB
% 32.67/14.84 % (2073201)Instructions burned: 5131 (million)
% 32.67/14.84 % (2073208)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1858786550:fmbsr=2.30978:i=2174_2979 on theBenchmark for (2979ds/2174Mi)
% 32.67/14.84 % TRYING [16]
% 32.67/14.84 % (2073208)Instruction limit reached!
% 32.67/14.84 % (2073208)------------------------------
% 32.67/14.84 % (2073208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073208)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073208)Termination reason: Instruction limit
% 32.67/14.84 % (2073208)Termination phase: Finite model building constraint generation
% 32.67/14.84 % (2073208)Time elapsed: 0.400 s
% 32.67/14.84 % (2073208)Peak memory usage: 125 MB
% 32.67/14.84 % (2073208)Instructions burned: 2175 (million)
% 32.67/14.84 % (2073210)ott-2_1_sil=16000:newcnf=on:random_seed=4278799439:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 32.67/14.84 % (2073206)Instruction limit reached!
% 32.67/14.84 % (2073206)------------------------------
% 32.67/14.84 % (2073206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073206)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073206)Termination reason: Instruction limit
% 32.67/14.84 % (2073206)Termination phase: Finite model building constraint generation
% 32.67/14.84 % (2073206)Time elapsed: 1.274 s
% 32.67/14.84 % (2073206)Peak memory usage: 447 MB
% 32.67/14.84 % (2073206)Instructions burned: 6325 (million)
% 32.67/14.84 % (2073212)ott+10_1_sil=32000:tgt=ground:random_seed=4237299138:i=5114:av=off_2973 on theBenchmark for (2973ds/5114Mi)
% 32.67/14.84 % (2073210)Instruction limit reached!
% 32.67/14.84 % (2073210)------------------------------
% 32.67/14.84 % (2073210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073210)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073210)Termination reason: Instruction limit
% 32.67/14.84 % (2073210)Termination phase: Saturation
% 32.67/14.84 % (2073210)Time elapsed: 0.271 s
% 32.67/14.84 % (2073210)Peak memory usage: 19 MB
% 32.67/14.84 % (2073210)Instructions burned: 870 (million)
% 32.67/14.84 % (2073214)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1291532476:i=54282_2972 on theBenchmark for (2972ds/54282Mi)
% 32.67/14.84 % TRYING [1]
% 32.67/14.84 % TRYING [2]
% 32.67/14.84 % TRYING [3]
% 32.67/14.84 % TRYING [4]
% 32.67/14.84 % TRYING [5]
% 32.67/14.84 % TRYING [6]
% 32.67/14.84 % TRYING [7]
% 32.67/14.84 % (2073198)Instruction limit reached!
% 32.67/14.84 % (2073198)------------------------------
% 32.67/14.84 % (2073198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073198)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073198)Termination reason: Instruction limit
% 32.67/14.84 % (2073198)Termination phase: Finite model building constraint generation
% 32.67/14.84 % (2073198)Time elapsed: 2.719 s
% 32.67/14.84 % (2073198)Peak memory usage: 848 MB
% 32.67/14.84 % (2073198)Instructions burned: 9516 (million)
% 32.67/14.84 % (2073216)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=301911569:i=3512:aac=none_2966 on theBenchmark for (2966ds/3512Mi)
% 32.67/14.84 % TRYING [8]
% 32.67/14.84 % TRYING [10]
% 32.67/14.84 % (2073212)Instruction limit reached!
% 32.67/14.84 % (2073212)------------------------------
% 32.67/14.84 % (2073212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073212)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073212)Termination reason: Instruction limit
% 32.67/14.84 % (2073212)Termination phase: Saturation
% 32.67/14.84 % (2073212)Time elapsed: 1.560 s
% 32.67/14.84 % (2073212)Peak memory usage: 46 MB
% 32.67/14.84 % (2073212)Instructions burned: 5117 (million)
% 32.67/14.84 % (2073218)dis+21_1_sil=32000:sas=cadical:random_seed=657392502:i=3773:amm=off_2957 on theBenchmark for (2957ds/3773Mi)
% 32.67/14.84 % TRYING [9]
% 32.67/14.84 % (2073216)Instruction limit reached!
% 32.67/14.84 % (2073216)------------------------------
% 32.67/14.84 % (2073216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073216)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073216)Termination reason: Instruction limit
% 32.67/14.84 % (2073216)Termination phase: Saturation
% 32.67/14.84 % (2073216)Time elapsed: 1.033 s
% 32.67/14.84 % (2073216)Peak memory usage: 26 MB
% 32.67/14.84 % (2073216)Instructions burned: 3512 (million)
% 32.67/14.84 % (2073220)ott+11_1_sil=16000:gs=on:random_seed=628668535:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2956 on theBenchmark for (2956ds/2251Mi)
% 32.67/14.84 % (2073220)Instruction limit reached!
% 32.67/14.84 % (2073220)------------------------------
% 32.67/14.84 % (2073220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073220)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073220)Termination reason: Instruction limit
% 32.67/14.84 % (2073220)Termination phase: Saturation
% 32.67/14.84 % (2073220)Time elapsed: 0.745 s
% 32.67/14.84 % (2073220)Peak memory usage: 26 MB
% 32.67/14.84 % (2073220)Instructions burned: 2254 (million)
% 32.67/14.84 % (2073222)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4162019468:fmbsr=1.6:i=67534_2948 on theBenchmark for (2948ds/67534Mi)
% 32.67/14.84 % TRYING [7]
% 32.67/14.84 % (2073218)Instruction limit reached!
% 32.67/14.84 % (2073218)------------------------------
% 32.67/14.84 % (2073218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073218)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073218)Termination reason: Instruction limit
% 32.67/14.84 % (2073218)Termination phase: Saturation
% 32.67/14.84 % (2073218)Time elapsed: 1.101 s
% 32.67/14.84 % (2073218)Peak memory usage: 34 MB
% 32.67/14.84 % (2073218)Instructions burned: 3774 (million)
% 32.67/14.84 % (2073224)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=848156429:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2946 on theBenchmark for (2946ds/4591Mi)
% 32.67/14.84 % (2073196)Instruction limit reached!
% 32.67/14.84 % (2073196)------------------------------
% 32.67/14.84 % (2073196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073196)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073196)Termination reason: Instruction limit
% 32.67/14.84 % (2073196)Termination phase: Finite model building SAT solving
% 32.67/14.84 % (2073196)Time elapsed: 5.481 s
% 32.67/14.84 % (2073196)Peak memory usage: 71 MB
% 32.67/14.84 % (2073196)Instructions burned: 22062 (million)
% 32.67/14.84 % (2073226)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2626678983:i=29340_2940 on theBenchmark for (2940ds/29340Mi)
% 32.67/14.84 % TRYING [10]
% 32.67/14.84 % TRYING [8]
% 32.67/14.84 % (2073224)Instruction limit reached!
% 32.67/14.84 % (2073224)------------------------------
% 32.67/14.84 % (2073224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073224)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073224)Termination reason: Instruction limit
% 32.67/14.84 % (2073224)Termination phase: Saturation
% 32.67/14.84 % (2073224)Time elapsed: 1.328 s
% 32.67/14.84 % (2073224)Peak memory usage: 46 MB
% 32.67/14.84 % (2073224)Instructions burned: 4593 (million)
% 32.67/14.84 % (2073228)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=466502654:i=5211_2933 on theBenchmark for (2933ds/5211Mi)
% 32.67/14.84 % (2073228)Instruction limit reached!
% 32.67/14.84 % (2073228)------------------------------
% 32.67/14.84 % (2073228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073228)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073228)Termination reason: Instruction limit
% 32.67/14.84 % (2073228)Termination phase: Saturation
% 32.67/14.84 % (2073228)Time elapsed: 1.659 s
% 32.67/14.84 % (2073228)Peak memory usage: 52 MB
% 32.67/14.84 % (2073228)Instructions burned: 5213 (million)
% 32.67/14.84 % (2073230)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=768662143:i=5497:nm=2_2916 on theBenchmark for (2916ds/5497Mi)
% 32.67/14.84 % TRYING [17]
% 32.67/14.84 % TRYING [11]
% 32.67/14.84 % (2073230)Instruction limit reached!
% 32.67/14.84 % (2073230)------------------------------
% 32.67/14.84 % (2073230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073230)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073230)Termination reason: Instruction limit
% 32.67/14.84 % (2073230)Termination phase: Finite model building constraint generation
% 32.67/14.84 % (2073230)Time elapsed: 1.656 s
% 32.67/14.84 % (2073230)Peak memory usage: 475 MB
% 32.67/14.84 % (2073230)Instructions burned: 5498 (million)
% 32.67/14.84 % (2073232)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3647186314:fmbsr=2:i=46332_2899 on theBenchmark for (2899ds/46332Mi)
% 32.67/14.84 % TRYING [15]
% 32.67/14.84 % TRYING [9]
% 32.67/14.84 % (2073226) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2073157-2073226"...
% 32.67/14.84 % (2073226)...printing done.
% 32.67/14.84 % (2073226)Refutation found. Thanks to Tanya!
% 32.67/14.84 % SZS status Theorem for theBenchmark
% 32.67/14.84 % SZS output start Proof for theBenchmark
% See solution above
% 32.67/14.84 % (2073226)------------------------------
% 32.67/14.84 % (2073226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 32.67/14.84 % (2073226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.67/14.84 % (2073226)CaDiCaL version: 2.1.3
% 32.67/14.84 % (2073226)Termination reason: Refutation
% 32.67/14.84 % (2073226)Time elapsed: 8.413 s
% 32.67/14.84 % (2073226)Peak memory usage: 104 MB
% 32.67/14.84 % (2073226)Instructions burned: 28812 (million)
% 32.67/14.84 % (2073157)Success in time 14.513 s
% 32.67/14.84 % Vampire exiting
%------------------------------------------------------------------------------