%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU386+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:48:39 PM UTC 2026
% Result : Theorem 4.14s 1.59s
% Output : Refutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 17 unt; 0 def)
% Number of atoms : 364 ( 13 equ)
% Maximal formula atoms : 24 ( 7 avg)
% Number of connectives : 497 ( 182 ~; 199 |; 85 &)
% ( 9 <=>; 22 =>; 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 : 120 ( 103 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f116,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/sandbox/benchmark/theBenchmark.p',d18_yellow_6) ).
fof(f217,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/sandbox/benchmark/theBenchmark.p',d9_waybel_9) ).
fof(f225,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/sandbox/benchmark/theBenchmark.p',dt_k11_yellow_6) ).
fof(f311,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f717,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/sandbox/benchmark/theBenchmark.p',t28_yellow_6) ).
fof(f720,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/sandbox/benchmark/theBenchmark.p',t29_waybel_9) ).
fof(f721,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)],[f720]) ).
fof(f1107,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,[],[f116]) ).
fof(f1108,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,[],[f1107]) ).
fof(f1228,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,[],[f217]) ).
fof(f1229,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,[],[f1228]) ).
fof(f1240,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,[],[f225]) ).
fof(f1241,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,[],[f1240]) ).
fof(f1328,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f311]) ).
fof(f1805,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,[],[f717]) ).
fof(f1806,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,[],[f1805]) ).
fof(f1810,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,[],[f721]) ).
fof(f1811,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,[],[f1810]) ).
fof(f2187,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,[],[f1108]) ).
fof(f2188,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,[],[f2187]) ).
fof(f2189,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,[],[f2188]) ).
fof(f2190,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = lim_points_of_net(X0,X1)
| ( ( ( ~ is_eventually_in(X0,X1,sK112(X0,X1,X2))
& point_neighbourhood(sK112(X0,X1,X2),X0,sK111(X0,X1,X2)) )
| ~ in(sK111(X0,X1,X2),X2) )
& ( ! [X5] :
( is_eventually_in(X0,X1,X5)
| ~ point_neighbourhood(X5,X0,sK111(X0,X1,X2)) )
| in(sK111(X0,X1,X2),X2) )
& element(sK111(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X6] :
( ( ( in(X6,X2)
| ( ~ is_eventually_in(X0,X1,sK113(X0,X1,X6))
& point_neighbourhood(sK113(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,[sK111,sK112,sK113]),skolemize(X3,sK111(X0,X1,X2)),skolemize(X4,sK112(X0,X1,X2)),skolemize(X7,sK113(X0,X1,X6))],[f2189]) ).
fof(f2416,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,[],[f1229]) ).
fof(f2417,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,[],[f2416]) ).
fof(f2418,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( is_a_cluster_point_of_netstr(X0,X1,X2)
| ( ~ is_often_in(X0,X1,sK227(X0,X1,X2))
& point_neighbourhood(sK227(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,[sK227]),skolemize(X3,sK227(X0,X1,X2))],[f2417]) ).
fof(f2859,plain,
( ~ is_a_cluster_point_of_netstr(sK602,sK603,sK604)
& in(sK604,lim_points_of_net(sK602,sK603))
& element(sK604,the_carrier(sK602))
& ~ empty_carrier(sK603)
& transitive_relstr(sK603)
& directed_relstr(sK603)
& net_str(sK603,sK602)
& ~ empty_carrier(sK602)
& topological_space(sK602)
& top_str(sK602) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK602,sK603,sK604]),skolemize(X0,sK602),skolemize(X1,sK603),skolemize(X2,sK604)],[f1811]) ).
fof(f3352,plain,
! [X2,X0,X1,X8,X6] :
( lim_points_of_net(X0,X1) != X2
| ~ point_neighbourhood(X8,X0,X6)
| ~ in(X6,X2)
| ~ element(X6,the_carrier(X0))
| is_eventually_in(X0,X1,X8)
| ~ 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,[],[f2190]) ).
fof(f3782,plain,
! [X2,X0,X1] :
( point_neighbourhood(sK227(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,[],[f2418]) ).
fof(f3783,plain,
! [X2,X0,X1] :
( ~ is_often_in(X0,X1,sK227(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,[],[f2418]) ).
fof(f3799,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,[],[f1241]) ).
fof(f3887,plain,
! [X0] :
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1328]) ).
fof(f5467,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,[],[f1806]) ).
fof(f5472,plain,
top_str(sK602),
inference(cnf_transformation,[],[f2859]) ).
fof(f5473,plain,
topological_space(sK602),
inference(cnf_transformation,[],[f2859]) ).
fof(f5474,plain,
~ empty_carrier(sK602),
inference(cnf_transformation,[],[f2859]) ).
fof(f5475,plain,
net_str(sK603,sK602),
inference(cnf_transformation,[],[f2859]) ).
fof(f5476,plain,
directed_relstr(sK603),
inference(cnf_transformation,[],[f2859]) ).
fof(f5477,plain,
transitive_relstr(sK603),
inference(cnf_transformation,[],[f2859]) ).
fof(f5478,plain,
~ empty_carrier(sK603),
inference(cnf_transformation,[],[f2859]) ).
fof(f5479,plain,
element(sK604,the_carrier(sK602)),
inference(cnf_transformation,[],[f2859]) ).
fof(f5480,plain,
in(sK604,lim_points_of_net(sK602,sK603)),
inference(cnf_transformation,[],[f2859]) ).
fof(f5481,plain,
~ is_a_cluster_point_of_netstr(sK602,sK603,sK604),
inference(cnf_transformation,[],[f2859]) ).
fof(f6015,plain,
one_sorted_str(sK602),
inference(unit_resulting_resolution,[],[f3887,f5472]) ).
fof(f6029,plain,
element(lim_points_of_net(sK602,sK603),powerset(the_carrier(sK602))),
inference(unit_resulting_resolution,[],[f3799,f5478,f5476,f5477,f5475,f5472,f5473,f5474]) ).
fof(f6030,plain,
point_neighbourhood(sK227(sK602,sK603,sK604),sK602,sK604),
inference(unit_resulting_resolution,[],[f3782,f5472,f5473,f5474,f5478,f5475,f5481,f5479]) ).
fof(f6031,plain,
~ is_often_in(sK602,sK603,sK227(sK602,sK603,sK604)),
inference(unit_resulting_resolution,[],[f3783,f5472,f5473,f5474,f5478,f5475,f5481,f5479]) ).
fof(f6149,plain,
~ is_eventually_in(sK602,sK603,sK227(sK602,sK603,sK604)),
inference(unit_resulting_resolution,[],[f5467,f6015,f5474,f5478,f5476,f5477,f5475,f6031]) ).
fof(f6179,plain,
lim_points_of_net(sK602,sK603) != lim_points_of_net(sK602,sK603),
inference(unit_resulting_resolution,[],[f3352,f5472,f5473,f5474,f5478,f5476,f5477,f5475,f5480,f6029,f5479,f6030,f6149]) ).
fof(f6181,plain,
$false,
inference(trivial_inequality_removal,[],[f6179]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU386+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Mon Sep 28 05:03:17 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.14/1.59 % (444728)Detected formulas, will run a generic FOF schedule.
% 4.14/1.59 % (444735)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3269470543:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.14/1.59 % (444733)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=388056837:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.14/1.59 % (444734)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2775223759:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.14/1.59 % (444739)dis-21_1_sil=8000:lcm=predicate:random_seed=430024033:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.14/1.59 % (444737)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=316791734:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.14/1.59 % (444736)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2576998780:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.14/1.59 % (444738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1174991805:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.14/1.59 % (444736)Instruction limit reached!
% 4.14/1.59 % (444736)------------------------------
% 4.14/1.59 % (444736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444736)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444736)Termination reason: Instruction limit
% 4.14/1.59 % (444736)Termination phase: Blocked clause elimination
% 4.14/1.59 % (444736)Time elapsed: 0.062 s
% 4.14/1.59 % (444736)Peak memory usage: 90 MB
% 4.14/1.59 % (444736)Instructions burned: 110 (million)
% 4.14/1.59 % (444738)Instruction limit reached!
% 4.14/1.59 % (444738)------------------------------
% 4.14/1.59 % (444738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444738)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444738)Termination reason: Instruction limit
% 4.14/1.59 % (444738)Termination phase: Saturation
% 4.14/1.59 % (444738)Time elapsed: 0.043 s
% 4.14/1.59 % (444738)Peak memory usage: 92 MB
% 4.14/1.59 % (444738)Instructions burned: 140 (million)
% 4.14/1.59 % (444739)Instruction limit reached!
% 4.14/1.59 % (444739)------------------------------
% 4.14/1.59 % (444739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444739)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444739)Termination reason: Instruction limit
% 4.14/1.59 % (444739)Termination phase: Saturation
% 4.14/1.59 % (444739)Time elapsed: 0.068 s
% 4.14/1.59 % (444739)Peak memory usage: 92 MB
% 4.14/1.59 % (444739)Instructions burned: 130 (million)
% 4.14/1.59 % (444737)Instruction limit reached!
% 4.14/1.59 % (444737)------------------------------
% 4.14/1.59 % (444737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444737)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444737)Termination reason: Instruction limit
% 4.14/1.59 % (444737)Termination phase: Saturation
% 4.14/1.59 % (444737)Time elapsed: 0.069 s
% 4.14/1.59 % (444737)Peak memory usage: 91 MB
% 4.14/1.59 % (444737)Instructions burned: 119 (million)
% 4.14/1.59 % (444748)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3122509874:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.14/1.59 % (444750)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2433488288:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.14/1.59 % (444749)lrs+1011_1_sil=32000:sp=occurrence:random_seed=863911701:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.14/1.59 % (444747)lrs+10_1_sil=8000:sp=occurrence:random_seed=3705202301:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.14/1.59 % (444748)Instruction limit reached!
% 4.14/1.59 % (444748)------------------------------
% 4.14/1.59 % (444748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444748)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444748)Termination reason: Instruction limit
% 4.14/1.59 % (444748)Termination phase: Saturation
% 4.14/1.59 % (444748)Time elapsed: 0.040 s
% 4.14/1.59 % (444748)Peak memory usage: 91 MB
% 4.14/1.59 % (444748)Instructions burned: 160 (million)
% 4.14/1.59 % (444750)First to succeed.
% 4.14/1.59 % (444750)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-444728"
% 4.14/1.59 % (444755)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1468351635:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.14/1.59 % (444747)Instruction limit reached!
% 4.14/1.59 % (444747)------------------------------
% 4.14/1.59 % (444747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444747)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444747)Termination reason: Instruction limit
% 4.14/1.59 % (444747)Termination phase: Saturation
% 4.14/1.59 % (444747)Time elapsed: 0.176 s
% 4.14/1.59 % (444747)Peak memory usage: 95 MB
% 4.14/1.59 % (444747)Instructions burned: 285 (million)
% 4.14/1.59 % (444755)Instruction limit reached!
% 4.14/1.59 % (444755)------------------------------
% 4.14/1.59 % (444755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444755)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444755)Termination reason: Instruction limit
% 4.14/1.59 % (444755)Termination phase: Saturation
% 4.14/1.59 % (444755)Time elapsed: 0.093 s
% 4.14/1.59 % (444755)Peak memory usage: 94 MB
% 4.14/1.59 % (444755)Instructions burned: 297 (million)
% 4.14/1.59 % (444749)Instruction limit reached!
% 4.14/1.59 % (444749)------------------------------
% 4.14/1.59 % (444749)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.14/1.59 % (444749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.14/1.59 % (444749)CaDiCaL version: 2.1.3
% 4.14/1.59 % (444749)Termination reason: Instruction limit
% 4.14/1.59 % (444749)Termination phase: Saturation
% 4.14/1.59 % (444749)Time elapsed: 0.209 s
% 4.14/1.59 % (444749)Peak memory usage: 95 MB
% 4.14/1.59 % (444749)Instructions burned: 326 (million)
% 4.14/1.59 % (444758)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=531211390:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.14/1.59 % (444757)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=346643930:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.14/1.59 % (444750)Refutation found. Thanks to Tanya!
% 4.14/1.59 % SZS status Theorem for theBenchmark
% 4.14/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.78 % (444750)------------------------------
% 5.39/1.78 % (444750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.78 % (444750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.78 % (444750)CaDiCaL version: 2.1.3
% 5.39/1.78 % (444750)Termination reason: Refutation
% 5.39/1.78 % (444750)Time elapsed: 0.070 s
% 5.39/1.78 % (444750)Peak memory usage: 93 MB
% 5.39/1.78 % (444750)Instructions burned: 115 (million)
% 5.39/1.78 % (444750)------------------------------
% 5.39/1.78 % (444750)------------------------------
% 5.39/1.78 % (444728)Success in time 0.713 s
% 5.39/1.78 % Vampire exiting
%------------------------------------------------------------------------------