%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU386+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:53:05 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 7
% Syntax : Number of formulae : 79 ( 13 unt; 0 def)
% Number of atoms : 565 ( 12 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 784 ( 298 ~; 368 |; 86 &)
% ( 9 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 164 ( 147 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X0)))
=> ( X2 = lim_points_of_net(X0,X1)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X2)
<=> ! [X4] :
( point_neighbourhood(X4,X0,X3)
=> is_eventually_in(X0,X1,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d18_yellow_6) ).
fof(f8,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( is_a_cluster_point_of_netstr(X0,X1,X2)
<=> ! [X3] :
( point_neighbourhood(X3,X0,X2)
=> is_often_in(X0,X1,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_waybel_9) ).
fof(f9,axiom,
! [X0,X1] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0)
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> element(lim_points_of_net(X0,X1),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_yellow_6) ).
fof(f13,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f37,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( is_eventually_in(X0,X1,X2)
=> is_often_in(X0,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_yellow_6) ).
fof(f38,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,lim_points_of_net(X0,X1))
=> is_a_cluster_point_of_netstr(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_waybel_9) ).
fof(f39,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,lim_points_of_net(X0,X1))
=> is_a_cluster_point_of_netstr(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f38]) ).
fof(f42,axiom,
! [X0,X1,X2] :
( ( in(X0,X1)
& element(X1,powerset(X2)) )
=> element(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = lim_points_of_net(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) ) )
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = lim_points_of_net(X0,X1)
<=> ! [X3] :
( ( in(X3,X2)
<=> ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) ) )
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_a_cluster_point_of_netstr(X0,X1,X2)
<=> ! [X3] :
( is_often_in(X0,X1,X3)
| ~ point_neighbourhood(X3,X0,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( is_a_cluster_point_of_netstr(X0,X1,X2)
<=> ! [X3] :
( is_often_in(X0,X1,X3)
| ~ point_neighbourhood(X3,X0,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(flattening,[],[f60]) ).
fof(f63,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f77,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
| ~ is_eventually_in(X0,X1,X2) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f78,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( is_often_in(X0,X1,X2)
| ~ is_eventually_in(X0,X1,X2) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ is_a_cluster_point_of_netstr(X0,X1,X2)
& in(X2,lim_points_of_net(X0,X1))
& element(X2,the_carrier(X0)) )
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f80,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ is_a_cluster_point_of_netstr(X0,X1,X2)
& in(X2,lim_points_of_net(X0,X1))
& element(X2,the_carrier(X0)) )
& ~ empty_carrier(X1)
& transitive_relstr(X1)
& directed_relstr(X1)
& net_str(X1,X0) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f79]) ).
fof(f84,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(ennf_transformation,[],[f42]) ).
fof(f85,plain,
! [X0,X1,X2] :
( element(X0,X2)
| ~ in(X0,X1)
| ~ element(X1,powerset(X2)) ),
inference(flattening,[],[f84]) ).
fof(f90,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ? [X3] :
( ( ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| in(X3,X2) )
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) ) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) ) )
| ~ element(X3,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f57]) ).
fof(f91,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ? [X3] :
( ( ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| in(X3,X2) )
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( ( ( in(X3,X2)
| ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) ) )
& ( ! [X4] :
( is_eventually_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) ) )
| ~ element(X3,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ? [X3] :
( ( ? [X4] :
( ~ is_eventually_in(X0,X1,X4)
& point_neighbourhood(X4,X0,X3) )
| ~ in(X3,X2) )
& ( ! [X5] :
( is_eventually_in(X0,X1,X5)
| ~ point_neighbourhood(X5,X0,X3) )
| in(X3,X2) )
& element(X3,the_carrier(X0)) ) )
& ( ! [X6] :
( ( ( in(X6,X2)
| ? [X7] :
( ~ is_eventually_in(X0,X1,X7)
& point_neighbourhood(X7,X0,X6) ) )
& ( ! [X8] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6) )
| ~ in(X6,X2) ) )
| ~ element(X6,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(rectify,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ( ( ( ~ is_eventually_in(X0,X1,sK1(X0,X1,X2))
& point_neighbourhood(sK1(X0,X1,X2),X0,sK0(X0,X1,X2)) )
| ~ in(sK0(X0,X1,X2),X2) )
& ( ! [X5] :
( is_eventually_in(X0,X1,X5)
| ~ point_neighbourhood(X5,X0,sK0(X0,X1,X2)) )
| in(sK0(X0,X1,X2),X2) )
& element(sK0(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X6] :
( ( ( in(X6,X2)
| ( ~ is_eventually_in(X0,X1,sK2(X0,X1,X6))
& point_neighbourhood(sK2(X0,X1,X6),X0,X6) ) )
& ( ! [X8] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6) )
| ~ in(X6,X2) ) )
| ~ element(X6,the_carrier(X0)) )
| lim_points_of_net(X0,X1) != X2 ) )
| ~ element(X2,powerset(the_carrier(X0))) )
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0,X1,X2)),skolemize(X4,sK1(X0,X1,X2)),skolemize(X7,sK2(X0,X1,X6))],[f92]) ).
fof(f94,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( is_a_cluster_point_of_netstr(X0,X1,X2)
| ? [X3] :
( ~ is_often_in(X0,X1,X3)
& point_neighbourhood(X3,X0,X2) ) )
& ( ! [X3] :
( is_often_in(X0,X1,X3)
| ~ point_neighbourhood(X3,X0,X2) )
| ~ is_a_cluster_point_of_netstr(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( is_a_cluster_point_of_netstr(X0,X1,X2)
| ? [X3] :
( ~ is_often_in(X0,X1,X3)
& point_neighbourhood(X3,X0,X2) ) )
& ( ! [X4] :
( is_often_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X2) )
| ~ is_a_cluster_point_of_netstr(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(rectify,[],[f94]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( is_a_cluster_point_of_netstr(X0,X1,X2)
| ( ~ is_often_in(X0,X1,sK3(X0,X1,X2))
& point_neighbourhood(sK3(X0,X1,X2),X0,X2) ) )
& ( ! [X4] :
( is_often_in(X0,X1,X4)
| ~ point_neighbourhood(X4,X0,X2) )
| ~ is_a_cluster_point_of_netstr(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| empty_carrier(X1)
| ~ net_str(X1,X0) )
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X3,sK3(X0,X1,X2))],[f95]) ).
fof(f110,plain,
( ~ is_a_cluster_point_of_netstr(sK17,sK18,sK19)
& in(sK19,lim_points_of_net(sK17,sK18))
& element(sK19,the_carrier(sK17))
& ~ empty_carrier(sK18)
& transitive_relstr(sK18)
& directed_relstr(sK18)
& net_str(sK18,sK17)
& ~ empty_carrier(sK17)
& topological_space(sK17)
& top_str(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X0,sK17),skolemize(X1,sK18),skolemize(X2,sK19)],[f80]) ).
fof(f117,plain,
! [X2,X0,X1,X8,X6] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6)
| ~ in(X6,X2)
| ~ element(X6,the_carrier(X0))
| lim_points_of_net(X0,X1) != X2
| ~ element(X2,powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f125,plain,
! [X2,X0,X1] :
( point_neighbourhood(sK3(X0,X1,X2),X0,X2)
| is_a_cluster_point_of_netstr(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ is_often_in(X0,X1,sK3(X0,X1,X2))
| is_a_cluster_point_of_netstr(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f127,plain,
! [X0,X1] :
( element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f129,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f160,plain,
! [X2,X0,X1] :
( ~ is_eventually_in(X0,X1,X2)
| is_often_in(X0,X1,X2)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f161,plain,
top_str(sK17),
inference(cnf_transformation,[],[f110]) ).
fof(f162,plain,
topological_space(sK17),
inference(cnf_transformation,[],[f110]) ).
fof(f163,plain,
~ empty_carrier(sK17),
inference(cnf_transformation,[],[f110]) ).
fof(f164,plain,
net_str(sK18,sK17),
inference(cnf_transformation,[],[f110]) ).
fof(f165,plain,
directed_relstr(sK18),
inference(cnf_transformation,[],[f110]) ).
fof(f166,plain,
transitive_relstr(sK18),
inference(cnf_transformation,[],[f110]) ).
fof(f167,plain,
~ empty_carrier(sK18),
inference(cnf_transformation,[],[f110]) ).
fof(f168,plain,
element(sK19,the_carrier(sK17)),
inference(cnf_transformation,[],[f110]) ).
fof(f169,plain,
in(sK19,lim_points_of_net(sK17,sK18)),
inference(cnf_transformation,[],[f110]) ).
fof(f170,plain,
~ is_a_cluster_point_of_netstr(sK17,sK18,sK19),
inference(cnf_transformation,[],[f110]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X2))
| ~ in(X0,X1)
| element(X0,X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f180,plain,
! [X0,X1,X8,X6] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6)
| ~ in(X6,lim_points_of_net(X0,X1))
| ~ element(X6,the_carrier(X0))
| ~ element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(equality_resolution,[],[f117]) ).
fof(f186,plain,
one_sorted_str(sK17),
inference(resolution,[],[f129,f161]) ).
fof(f289,plain,
! [X0,X1,X8,X6] :
( is_eventually_in(X0,X1,X8)
| ~ point_neighbourhood(X8,X0,X6)
| ~ in(X6,lim_points_of_net(X0,X1))
| ~ element(lim_points_of_net(X0,X1),powerset(the_carrier(X0)))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f180,f173]) ).
fof(f290,plain,
! [X0,X1,X8,X6] :
( ~ in(X6,lim_points_of_net(X0,X1))
| ~ point_neighbourhood(X8,X0,X6)
| is_eventually_in(X0,X1,X8)
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| ~ topological_space(X0)
| ~ top_str(X0) ),
inference(forward_subsumption_resolution,[],[f289,f127]) ).
fof(f297,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0)
| empty_carrier(sK18)
| ~ transitive_relstr(sK18)
| ~ directed_relstr(sK18)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(resolution,[],[f290,f169]) ).
fof(f298,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0)
| ~ transitive_relstr(sK18)
| ~ directed_relstr(sK18)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f297,f167]) ).
fof(f299,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0)
| ~ directed_relstr(sK18)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f298,f166]) ).
fof(f300,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f299,f165]) ).
fof(f301,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f300,f164]) ).
fof(f302,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f301,f163]) ).
fof(f303,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f302,f162]) ).
fof(f304,plain,
! [X0] :
( ~ point_neighbourhood(X0,sK17,sK19)
| is_eventually_in(sK17,sK18,X0) ),
inference(forward_subsumption_resolution,[],[f303,f161]) ).
fof(f306,plain,
! [X0] :
( is_eventually_in(sK17,sK18,sK3(sK17,X0,sK19))
| is_a_cluster_point_of_netstr(sK17,X0,sK19)
| ~ element(sK19,the_carrier(sK17))
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(resolution,[],[f304,f125]) ).
fof(f309,plain,
! [X0] :
( is_eventually_in(sK17,sK18,sK3(sK17,X0,sK19))
| is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f306,f168]) ).
fof(f312,plain,
! [X0] :
( is_eventually_in(sK17,sK18,sK3(sK17,X0,sK19))
| is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f309,f163]) ).
fof(f315,plain,
! [X0] :
( is_eventually_in(sK17,sK18,sK3(sK17,X0,sK19))
| is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f312,f162]) ).
fof(f318,plain,
! [X0] :
( is_eventually_in(sK17,sK18,sK3(sK17,X0,sK19))
| is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17) ),
inference(forward_subsumption_resolution,[],[f315,f161]) ).
fof(f342,plain,
! [X0] :
( is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| is_often_in(sK17,sK18,sK3(sK17,X0,sK19))
| empty_carrier(sK18)
| ~ transitive_relstr(sK18)
| ~ directed_relstr(sK18)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ one_sorted_str(sK17) ),
inference(resolution,[],[f318,f160]) ).
fof(f343,plain,
! [X0] :
( is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| is_often_in(sK17,sK18,sK3(sK17,X0,sK19))
| ~ transitive_relstr(sK18)
| ~ directed_relstr(sK18)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ one_sorted_str(sK17) ),
inference(forward_subsumption_resolution,[],[f342,f167]) ).
fof(f344,plain,
! [X0] :
( is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| is_often_in(sK17,sK18,sK3(sK17,X0,sK19))
| ~ directed_relstr(sK18)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ one_sorted_str(sK17) ),
inference(forward_subsumption_resolution,[],[f343,f166]) ).
fof(f345,plain,
! [X0] :
( is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| is_often_in(sK17,sK18,sK3(sK17,X0,sK19))
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ one_sorted_str(sK17) ),
inference(forward_subsumption_resolution,[],[f344,f165]) ).
fof(f346,plain,
! [X0] :
( is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| is_often_in(sK17,sK18,sK3(sK17,X0,sK19))
| empty_carrier(sK17)
| ~ one_sorted_str(sK17) ),
inference(forward_subsumption_resolution,[],[f345,f164]) ).
fof(f347,plain,
! [X0] :
( is_a_cluster_point_of_netstr(sK17,X0,sK19)
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| is_often_in(sK17,sK18,sK3(sK17,X0,sK19))
| ~ one_sorted_str(sK17) ),
inference(forward_subsumption_resolution,[],[f346,f163]) ).
fof(f348,plain,
! [X0] :
( is_often_in(sK17,sK18,sK3(sK17,X0,sK19))
| empty_carrier(X0)
| ~ net_str(X0,sK17)
| is_a_cluster_point_of_netstr(sK17,X0,sK19) ),
inference(forward_subsumption_resolution,[],[f347,f186]) ).
fof(f351,plain,
( empty_carrier(sK18)
| ~ net_str(sK18,sK17)
| is_a_cluster_point_of_netstr(sK17,sK18,sK19)
| is_a_cluster_point_of_netstr(sK17,sK18,sK19)
| ~ element(sK19,the_carrier(sK17))
| empty_carrier(sK18)
| ~ net_str(sK18,sK17)
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(resolution,[],[f348,f126]) ).
fof(f352,plain,
( empty_carrier(sK18)
| ~ net_str(sK18,sK17)
| is_a_cluster_point_of_netstr(sK17,sK18,sK19)
| ~ element(sK19,the_carrier(sK17))
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(duplicate_literal_removal,[],[f351]) ).
fof(f353,plain,
( ~ net_str(sK18,sK17)
| is_a_cluster_point_of_netstr(sK17,sK18,sK19)
| ~ element(sK19,the_carrier(sK17))
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f352,f167]) ).
fof(f354,plain,
( is_a_cluster_point_of_netstr(sK17,sK18,sK19)
| ~ element(sK19,the_carrier(sK17))
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f353,f164]) ).
fof(f355,plain,
( ~ element(sK19,the_carrier(sK17))
| empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f354,f170]) ).
fof(f356,plain,
( empty_carrier(sK17)
| ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f355,f168]) ).
fof(f357,plain,
( ~ topological_space(sK17)
| ~ top_str(sK17) ),
inference(forward_subsumption_resolution,[],[f356,f163]) ).
fof(f358,plain,
~ top_str(sK17),
inference(forward_subsumption_resolution,[],[f357,f162]) ).
fof(f359,plain,
$false,
inference(forward_subsumption_resolution,[],[f358,f161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU386+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 05:08:18 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.47 % (3272040)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3272045)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1076575109_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % (3272046)% WARNING: option uhcvi not known.
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % (3272046)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=801913402:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % (3272047)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1090739433:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (3272048)dis+10_1_sil=32000:sp=arity:random_seed=392779790:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (3272050)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1930070216:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (3272049)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=333189598:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (3272051)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=244850443:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (3272048) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3272040-3272048"...
% 0.18/0.47 % TRYING [5]
% 0.18/0.47 % (3272048)...printing done.
% 0.18/0.47 % (3272048)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (3272048)------------------------------
% 0.18/0.48 % (3272048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (3272048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (3272048)CaDiCaL version: 2.1.3
% 0.18/0.48 % (3272048)Termination reason: Refutation
% 0.18/0.48 % (3272048)Time elapsed: 0.009 s
% 0.18/0.48 % (3272048)Peak memory usage: 12 MB
% 0.18/0.48 % (3272048)Instructions burned: 13 (million)
% 0.18/0.48 % (3272040)Success in time 0.044 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------