%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU395+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:48:42 PM UTC 2026
% Result : Theorem 1.63s 1.30s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 21
% Syntax : Number of formulae : 175 ( 24 unt; 12 def)
% Number of atoms : 863 ( 12 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1152 ( 464 ~; 531 |; 121 &)
% ( 17 <=>; 17 =>; 0 <=; 2 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 30 ( 28 usr; 13 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 108 ( 0 sgn 96 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34,axiom,
! [X0] :
( one_sorted_str(X0)
=> element(cast_as_carrier_subset(X0),powerset(the_carrier(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f37,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& net_str(net_of_bool_filter(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow19) ).
fof(f40,axiom,
! [X0] :
( top_str(X0)
=> one_sorted_str(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f63,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(cast_as_carrier_subset(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pre_topc) ).
fof(f73,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc4_yellow19) ).
fof(f76,axiom,
! [X0,X1,X2] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0)
& ~ empty(X1)
& element(X1,powerset(the_carrier(X0)))
& ~ empty(X2)
& filtered_subset(X2,boole_POSet(X1))
& upper_relstr_subset(X2,boole_POSet(X1))
& proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
& element(X2,powerset(the_carrier(boole_POSet(X1)))) )
=> ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& directed_relstr(net_of_bool_filter(X0,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow19) ).
fof(f125,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,the_carrier(X0))
=> ( in(X2,lim_points_of_net(X0,X1))
<=> is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_yellow19) ).
fof(f126,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> X1 = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_yellow19) ).
fof(f127,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))
<=> is_a_convergence_point_of_set(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_yellow19) ).
fof(f128,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) )
=> ! [X1] :
( ( ~ empty(X1)
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
=> ! [X2] :
( element(X2,the_carrier(X0))
=> ( in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))
<=> is_a_convergence_point_of_set(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f127]) ).
fof(f249,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f252,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(ennf_transformation,[],[f37]) ).
fof(f253,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(flattening,[],[f252]) ).
fof(f255,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f270,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f271,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f270]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(ennf_transformation,[],[f73]) ).
fof(f288,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(flattening,[],[f287]) ).
fof(f293,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& directed_relstr(net_of_bool_filter(X0,X1,X2)) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(ennf_transformation,[],[f76]) ).
fof(f294,plain,
! [X0,X1,X2] :
( ( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
& reflexive_relstr(net_of_bool_filter(X0,X1,X2))
& transitive_relstr(net_of_bool_filter(X0,X1,X2))
& strict_net_str(net_of_bool_filter(X0,X1,X2),X0)
& directed_relstr(net_of_bool_filter(X0,X1,X2)) )
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(flattening,[],[f293]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,lim_points_of_net(X0,X1))
<=> is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2) )
| ~ 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,[],[f125]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( in(X2,lim_points_of_net(X0,X1))
<=> is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2) )
| ~ 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,[],[f339]) ).
fof(f341,plain,
! [X0] :
( ! [X1] :
( X1 = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f126]) ).
fof(f342,plain,
! [X0] :
( ! [X1] :
( X1 = filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f341]) ).
fof(f343,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))
<~> is_a_convergence_point_of_set(X0,X1,X2) )
& element(X2,the_carrier(X0)) )
& ~ empty(X1)
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(ennf_transformation,[],[f128]) ).
fof(f344,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)))
<~> is_a_convergence_point_of_set(X0,X1,X2) )
& element(X2,the_carrier(X0)) )
& ~ empty(X1)
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f343]) ).
fof(f409,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( in(X2,lim_points_of_net(X0,X1))
| ~ is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2) )
& ( is_a_convergence_point_of_set(X0,filter_of_net_str(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(nnf_transformation,[],[f340]) ).
fof(f410,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) )
& ( is_a_convergence_point_of_set(X0,X1,X2)
| in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) )
& element(X2,the_carrier(X0)) )
& ~ empty(X1)
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(nnf_transformation,[],[f344]) ).
fof(f411,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ( ~ is_a_convergence_point_of_set(X0,X1,X2)
| ~ in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) )
& ( is_a_convergence_point_of_set(X0,X1,X2)
| in(X2,lim_points_of_net(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1))) )
& element(X2,the_carrier(X0)) )
& ~ empty(X1)
& filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
& proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
& element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0))))) )
& ~ empty_carrier(X0)
& topological_space(X0)
& top_str(X0) ),
inference(flattening,[],[f410]) ).
fof(f412,plain,
( ( ~ is_a_convergence_point_of_set(sK46,sK47,sK48)
| ~ in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) )
& ( is_a_convergence_point_of_set(sK46,sK47,sK48)
| in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) )
& element(sK48,the_carrier(sK46))
& ~ empty(sK47)
& filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
& upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
& proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
& element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
& ~ empty_carrier(sK46)
& topological_space(sK46)
& top_str(sK46) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46,sK47,sK48]),skolemize(X0,sK46),skolemize(X1,sK47),skolemize(X2,sK48)],[f411]) ).
fof(f486,plain,
! [X0] :
( element(cast_as_carrier_subset(X0),powerset(the_carrier(X0)))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f488,plain,
! [X2,X0,X1] :
( net_str(net_of_bool_filter(X0,X1,X2),X0)
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f253]) ).
fof(f490,plain,
! [X2,X0,X1] :
( ~ empty_carrier(net_of_bool_filter(X0,X1,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f253]) ).
fof(f494,plain,
! [X0] :
( one_sorted_str(X0)
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f530,plain,
! [X0] :
( ~ empty(cast_as_carrier_subset(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f560,plain,
! [X2,X0,X1] :
( transitive_relstr(net_of_bool_filter(X0,X1,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f288]) ).
fof(f566,plain,
! [X2,X0,X1] :
( directed_relstr(net_of_bool_filter(X0,X1,X2))
| empty_carrier(X0)
| ~ one_sorted_str(X0)
| empty(X1)
| ~ element(X1,powerset(the_carrier(X0)))
| empty(X2)
| ~ filtered_subset(X2,boole_POSet(X1))
| ~ upper_relstr_subset(X2,boole_POSet(X1))
| ~ proper_element(X2,powerset(the_carrier(boole_POSet(X1))))
| ~ element(X2,powerset(the_carrier(boole_POSet(X1)))) ),
inference(cnf_transformation,[],[f294]) ).
fof(f773,plain,
! [X2,X0,X1] :
( is_a_convergence_point_of_set(X0,filter_of_net_str(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(cnf_transformation,[],[f409]) ).
fof(f774,plain,
! [X2,X0,X1] :
( ~ topological_space(X0)
| ~ is_a_convergence_point_of_set(X0,filter_of_net_str(X0,X1),X2)
| ~ element(X2,the_carrier(X0))
| empty_carrier(X1)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X0)
| empty_carrier(X0)
| in(X2,lim_points_of_net(X0,X1))
| ~ top_str(X0) ),
inference(cnf_transformation,[],[f409]) ).
fof(f775,plain,
! [X0,X1] :
( ~ proper_element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| empty(X1)
| ~ filtered_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| ~ upper_relstr_subset(X1,boole_POSet(cast_as_carrier_subset(X0)))
| filter_of_net_str(X0,net_of_bool_filter(X0,cast_as_carrier_subset(X0),X1)) = X1
| ~ element(X1,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X0)))))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f776,plain,
top_str(sK46),
inference(cnf_transformation,[],[f412]) ).
fof(f777,plain,
topological_space(sK46),
inference(cnf_transformation,[],[f412]) ).
fof(f778,plain,
~ empty_carrier(sK46),
inference(cnf_transformation,[],[f412]) ).
fof(f779,plain,
element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46))))),
inference(cnf_transformation,[],[f412]) ).
fof(f780,plain,
proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46))))),
inference(cnf_transformation,[],[f412]) ).
fof(f781,plain,
upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46))),
inference(cnf_transformation,[],[f412]) ).
fof(f782,plain,
filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46))),
inference(cnf_transformation,[],[f412]) ).
fof(f783,plain,
~ empty(sK47),
inference(cnf_transformation,[],[f412]) ).
fof(f784,plain,
element(sK48,the_carrier(sK46)),
inference(cnf_transformation,[],[f412]) ).
fof(f785,plain,
( is_a_convergence_point_of_set(sK46,sK47,sK48)
| in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) ),
inference(cnf_transformation,[],[f412]) ).
fof(f786,plain,
( ~ is_a_convergence_point_of_set(sK46,sK47,sK48)
| ~ in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) ),
inference(cnf_transformation,[],[f412]) ).
fof(f799,definition,
( spl50_1
<=> in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) ),
introduced(definition,[new_symbols(definition,[spl50_1])],[avatar_definition]) ).
fof(f800,plain,
( ~ in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| spl50_1 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f801,plain,
( in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ spl50_1 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f803,definition,
( spl50_2
<=> is_a_convergence_point_of_set(sK46,sK47,sK48) ),
introduced(definition,[new_symbols(definition,[spl50_2])],[avatar_definition]) ).
fof(f804,plain,
( ~ is_a_convergence_point_of_set(sK46,sK47,sK48)
| spl50_2 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f805,plain,
( is_a_convergence_point_of_set(sK46,sK47,sK48)
| ~ spl50_2 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f806,plain,
( spl50_1
| spl50_2 ),
inference(avatar_split_clause,[],[f785,f803,f799]) ).
fof(f807,plain,
( ~ spl50_1
| ~ spl50_2 ),
inference(avatar_split_clause,[],[f786,f803,f799]) ).
fof(f1176,plain,
! [X0,X1] :
( ~ is_a_convergence_point_of_set(sK46,filter_of_net_str(sK46,X0),X1)
| ~ element(X1,the_carrier(sK46))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK46)
| empty_carrier(sK46)
| in(X1,lim_points_of_net(sK46,X0))
| ~ top_str(sK46) ),
inference(resolution,[],[f774,f777]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ is_a_convergence_point_of_set(sK46,filter_of_net_str(sK46,X0),X1)
| ~ element(X1,the_carrier(sK46))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK46)
| in(X1,lim_points_of_net(sK46,X0))
| ~ top_str(sK46) ),
inference(forward_subsumption_resolution,[],[f1176,f778]) ).
fof(f1178,plain,
! [X0,X1] :
( ~ is_a_convergence_point_of_set(sK46,filter_of_net_str(sK46,X0),X1)
| ~ element(X1,the_carrier(sK46))
| empty_carrier(X0)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ net_str(X0,sK46)
| in(X1,lim_points_of_net(sK46,X0)) ),
inference(forward_subsumption_resolution,[],[f1177,f776]) ).
fof(f1285,plain,
( empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| empty_carrier(sK46)
| ~ one_sorted_str(sK46) ),
inference(resolution,[],[f775,f780]) ).
fof(f1291,plain,
( ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| empty_carrier(sK46)
| ~ one_sorted_str(sK46) ),
inference(forward_subsumption_resolution,[],[f1285,f783]) ).
fof(f1294,plain,
( ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| empty_carrier(sK46)
| ~ one_sorted_str(sK46) ),
inference(forward_subsumption_resolution,[],[f1291,f782]) ).
fof(f1297,plain,
( sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| empty_carrier(sK46)
| ~ one_sorted_str(sK46) ),
inference(forward_subsumption_resolution,[],[f1294,f781]) ).
fof(f1300,plain,
( sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| empty_carrier(sK46)
| ~ one_sorted_str(sK46) ),
inference(forward_subsumption_resolution,[],[f1297,f779]) ).
fof(f1302,plain,
( sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ one_sorted_str(sK46) ),
inference(forward_subsumption_resolution,[],[f1300,f778]) ).
fof(f1305,definition,
( spl50_21
<=> one_sorted_str(sK46) ),
introduced(definition,[new_symbols(definition,[spl50_21])],[avatar_definition]) ).
fof(f1306,plain,
( one_sorted_str(sK46)
| ~ spl50_21 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1307,plain,
( ~ one_sorted_str(sK46)
| spl50_21 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1309,definition,
( spl50_22
<=> sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)) ),
introduced(definition,[new_symbols(definition,[spl50_22])],[avatar_definition]) ).
fof(f1311,plain,
( sK47 = filter_of_net_str(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ spl50_22 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1312,plain,
( ~ spl50_21
| spl50_22 ),
inference(avatar_split_clause,[],[f1302,f1309,f1305]) ).
fof(f1318,plain,
( ~ top_str(sK46)
| spl50_21 ),
inference(resolution,[],[f1307,f494]) ).
fof(f1319,plain,
( $false
| spl50_21 ),
inference(forward_subsumption_resolution,[],[f1318,f776]) ).
fof(f1320,plain,
spl50_21,
inference(avatar_contradiction_clause,[],[f1319]) ).
fof(f1321,plain,
( ! [X0] :
( ~ is_a_convergence_point_of_set(sK46,sK47,X0)
| ~ element(X0,the_carrier(sK46))
| empty_carrier(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ transitive_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ directed_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ net_str(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47),sK46)
| in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) )
| ~ spl50_22 ),
inference(superposition,[],[f1178,f1311]) ).
fof(f1322,plain,
( ! [X0] :
( is_a_convergence_point_of_set(sK46,sK47,X0)
| ~ in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ element(X0,the_carrier(sK46))
| empty_carrier(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ transitive_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ directed_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ net_str(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47),sK46)
| empty_carrier(sK46)
| ~ topological_space(sK46)
| ~ top_str(sK46) )
| ~ spl50_22 ),
inference(superposition,[],[f773,f1311]) ).
fof(f1328,plain,
( ! [X0] :
( is_a_convergence_point_of_set(sK46,sK47,X0)
| ~ in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ element(X0,the_carrier(sK46))
| empty_carrier(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ transitive_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ directed_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ net_str(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47),sK46)
| ~ topological_space(sK46)
| ~ top_str(sK46) )
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f1322,f778]) ).
fof(f1330,definition,
( spl50_23
<=> net_str(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47),sK46) ),
introduced(definition,[new_symbols(definition,[spl50_23])],[avatar_definition]) ).
fof(f1332,plain,
( ~ net_str(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47),sK46)
| spl50_23 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1334,definition,
( spl50_24
<=> directed_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)) ),
introduced(definition,[new_symbols(definition,[spl50_24])],[avatar_definition]) ).
fof(f1336,plain,
( ~ directed_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| spl50_24 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f1338,definition,
( spl50_25
<=> transitive_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)) ),
introduced(definition,[new_symbols(definition,[spl50_25])],[avatar_definition]) ).
fof(f1340,plain,
( ~ transitive_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| spl50_25 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f1342,definition,
( spl50_26
<=> empty_carrier(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)) ),
introduced(definition,[new_symbols(definition,[spl50_26])],[avatar_definition]) ).
fof(f1344,plain,
( empty_carrier(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ spl50_26 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1346,definition,
( spl50_27
<=> ! [X0] :
( ~ is_a_convergence_point_of_set(sK46,sK47,X0)
| in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ element(X0,the_carrier(sK46)) ) ),
introduced(definition,[new_symbols(definition,[spl50_27])],[avatar_definition]) ).
fof(f1347,plain,
( ! [X0] :
( ~ is_a_convergence_point_of_set(sK46,sK47,X0)
| in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ element(X0,the_carrier(sK46)) )
| ~ spl50_27 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1348,plain,
( ~ spl50_23
| ~ spl50_24
| ~ spl50_25
| spl50_26
| spl50_27
| ~ spl50_22 ),
inference(avatar_split_clause,[],[f1321,f1309,f1346,f1342,f1338,f1334,f1330]) ).
fof(f1349,plain,
( ! [X0] :
( is_a_convergence_point_of_set(sK46,sK47,X0)
| ~ in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ element(X0,the_carrier(sK46))
| empty_carrier(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ transitive_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ directed_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ net_str(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47),sK46)
| ~ top_str(sK46) )
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f1328,f777]) ).
fof(f1350,plain,
( ! [X0] :
( is_a_convergence_point_of_set(sK46,sK47,X0)
| ~ in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ element(X0,the_carrier(sK46))
| empty_carrier(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ transitive_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ directed_relstr(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))
| ~ net_str(net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47),sK46) )
| ~ spl50_22 ),
inference(forward_subsumption_resolution,[],[f1349,f776]) ).
fof(f1352,definition,
( spl50_28
<=> ! [X0] :
( is_a_convergence_point_of_set(sK46,sK47,X0)
| ~ element(X0,the_carrier(sK46))
| ~ in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) ) ),
introduced(definition,[new_symbols(definition,[spl50_28])],[avatar_definition]) ).
fof(f1353,plain,
( ! [X0] :
( is_a_convergence_point_of_set(sK46,sK47,X0)
| ~ element(X0,the_carrier(sK46))
| ~ in(X0,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47))) )
| ~ spl50_28 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1354,plain,
( ~ spl50_23
| ~ spl50_24
| ~ spl50_25
| spl50_26
| spl50_28
| ~ spl50_22 ),
inference(avatar_split_clause,[],[f1350,f1309,f1352,f1342,f1338,f1334,f1330]) ).
fof(f1384,plain,
( empty_carrier(sK46)
| ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| spl50_23 ),
inference(resolution,[],[f1332,f488]) ).
fof(f1385,plain,
( ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| spl50_23 ),
inference(forward_subsumption_resolution,[],[f1384,f778]) ).
fof(f1386,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_23 ),
inference(forward_subsumption_resolution,[],[f1385,f1306]) ).
fof(f1387,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_23 ),
inference(forward_subsumption_resolution,[],[f1386,f783]) ).
fof(f1388,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_23 ),
inference(forward_subsumption_resolution,[],[f1387,f782]) ).
fof(f1389,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_23 ),
inference(forward_subsumption_resolution,[],[f1388,f781]) ).
fof(f1390,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ spl50_21
| spl50_23 ),
inference(forward_subsumption_resolution,[],[f1389,f779]) ).
fof(f1392,definition,
( spl50_29
<=> element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46))) ),
introduced(definition,[new_symbols(definition,[spl50_29])],[avatar_definition]) ).
fof(f1394,plain,
( ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| spl50_29 ),
inference(avatar_component_clause,[],[f1392]) ).
fof(f1396,definition,
( spl50_30
<=> empty(cast_as_carrier_subset(sK46)) ),
introduced(definition,[new_symbols(definition,[spl50_30])],[avatar_definition]) ).
fof(f1398,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ spl50_30 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1399,plain,
( ~ spl50_29
| spl50_30
| ~ spl50_21
| spl50_23 ),
inference(avatar_split_clause,[],[f1390,f1330,f1305,f1396,f1392]) ).
fof(f1402,plain,
( ~ one_sorted_str(sK46)
| spl50_29 ),
inference(resolution,[],[f1394,f486]) ).
fof(f1406,plain,
( $false
| ~ spl50_21
| spl50_29 ),
inference(forward_subsumption_resolution,[],[f1402,f1306]) ).
fof(f1407,plain,
( ~ spl50_21
| spl50_29 ),
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1410,plain,
( empty_carrier(sK46)
| ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| spl50_24 ),
inference(resolution,[],[f1336,f566]) ).
fof(f1411,plain,
( ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| spl50_24 ),
inference(forward_subsumption_resolution,[],[f1410,f778]) ).
fof(f1412,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_24 ),
inference(forward_subsumption_resolution,[],[f1411,f1306]) ).
fof(f1413,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_24 ),
inference(forward_subsumption_resolution,[],[f1412,f783]) ).
fof(f1414,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_24 ),
inference(forward_subsumption_resolution,[],[f1413,f782]) ).
fof(f1415,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ proper_element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_24 ),
inference(forward_subsumption_resolution,[],[f1414,f781]) ).
fof(f1416,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_24 ),
inference(forward_subsumption_resolution,[],[f1415,f780]) ).
fof(f1417,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ spl50_21
| spl50_24 ),
inference(forward_subsumption_resolution,[],[f1416,f779]) ).
fof(f1418,plain,
( ~ spl50_29
| spl50_30
| ~ spl50_21
| spl50_24 ),
inference(avatar_split_clause,[],[f1417,f1334,f1305,f1396,f1392]) ).
fof(f1430,plain,
( empty_carrier(sK46)
| ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| spl50_25 ),
inference(resolution,[],[f1340,f560]) ).
fof(f1445,plain,
( ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| spl50_25 ),
inference(forward_subsumption_resolution,[],[f1430,f778]) ).
fof(f1446,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_25 ),
inference(forward_subsumption_resolution,[],[f1445,f1306]) ).
fof(f1447,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_25 ),
inference(forward_subsumption_resolution,[],[f1446,f783]) ).
fof(f1448,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_25 ),
inference(forward_subsumption_resolution,[],[f1447,f782]) ).
fof(f1449,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| spl50_25 ),
inference(forward_subsumption_resolution,[],[f1448,f781]) ).
fof(f1450,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ spl50_21
| spl50_25 ),
inference(forward_subsumption_resolution,[],[f1449,f779]) ).
fof(f1451,plain,
( ~ spl50_29
| spl50_30
| ~ spl50_21
| spl50_25 ),
inference(avatar_split_clause,[],[f1450,f1338,f1305,f1396,f1392]) ).
fof(f1488,plain,
( empty_carrier(sK46)
| ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_26 ),
inference(resolution,[],[f1344,f490]) ).
fof(f1501,plain,
( ~ one_sorted_str(sK46)
| empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f1488,f778]) ).
fof(f1502,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| empty(sK47)
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f1501,f1306]) ).
fof(f1503,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ filtered_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f1502,f783]) ).
fof(f1504,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ upper_relstr_subset(sK47,boole_POSet(cast_as_carrier_subset(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f1503,f782]) ).
fof(f1505,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ element(sK47,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(sK46)))))
| ~ spl50_21
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f1504,f781]) ).
fof(f1506,plain,
( empty(cast_as_carrier_subset(sK46))
| ~ element(cast_as_carrier_subset(sK46),powerset(the_carrier(sK46)))
| ~ spl50_21
| ~ spl50_26 ),
inference(forward_subsumption_resolution,[],[f1505,f779]) ).
fof(f1507,plain,
( ~ spl50_29
| spl50_30
| ~ spl50_21
| ~ spl50_26 ),
inference(avatar_split_clause,[],[f1506,f1342,f1305,f1396,f1392]) ).
fof(f1632,plain,
( in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| ~ element(sK48,the_carrier(sK46))
| ~ spl50_2
| ~ spl50_27 ),
inference(resolution,[],[f1347,f805]) ).
fof(f1633,plain,
( ~ element(sK48,the_carrier(sK46))
| spl50_1
| ~ spl50_2
| ~ spl50_27 ),
inference(forward_subsumption_resolution,[],[f1632,f800]) ).
fof(f1634,plain,
( $false
| spl50_1
| ~ spl50_2
| ~ spl50_27 ),
inference(forward_subsumption_resolution,[],[f1633,f784]) ).
fof(f1635,plain,
( spl50_1
| ~ spl50_2
| ~ spl50_27 ),
inference(avatar_contradiction_clause,[],[f1634]) ).
fof(f1638,plain,
( empty_carrier(sK46)
| ~ one_sorted_str(sK46)
| ~ spl50_30 ),
inference(resolution,[],[f1398,f530]) ).
fof(f1647,plain,
( ~ one_sorted_str(sK46)
| ~ spl50_30 ),
inference(forward_subsumption_resolution,[],[f1638,f778]) ).
fof(f1663,plain,
( $false
| ~ spl50_21
| ~ spl50_30 ),
inference(forward_subsumption_resolution,[],[f1647,f1306]) ).
fof(f1664,plain,
( ~ spl50_21
| ~ spl50_30 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1748,plain,
( ~ element(sK48,the_carrier(sK46))
| ~ in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| spl50_2
| ~ spl50_28 ),
inference(resolution,[],[f1353,f804]) ).
fof(f1751,plain,
( ~ in(sK48,lim_points_of_net(sK46,net_of_bool_filter(sK46,cast_as_carrier_subset(sK46),sK47)))
| spl50_2
| ~ spl50_28 ),
inference(forward_subsumption_resolution,[],[f1748,f784]) ).
fof(f1752,plain,
( $false
| ~ spl50_1
| spl50_2
| ~ spl50_28 ),
inference(forward_subsumption_resolution,[],[f1751,f801]) ).
fof(f1753,plain,
( ~ spl50_1
| spl50_2
| ~ spl50_28 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
cnf(s1,plain,
( spl50_1
| spl50_2 ),
inference(sat_conversion,[],[f806]) ).
cnf(s2,plain,
( ~ spl50_1
| ~ spl50_2 ),
inference(sat_conversion,[],[f807]) ).
cnf(s14,plain,
( ~ spl50_21
| spl50_22 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s15,plain,
spl50_21,
inference(sat_conversion,[],[f1320]) ).
cnf(s16,plain,
( ~ spl50_22
| ~ spl50_23
| ~ spl50_24
| ~ spl50_25
| spl50_26
| spl50_27 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s17,plain,
( ~ spl50_22
| ~ spl50_23
| ~ spl50_24
| ~ spl50_25
| spl50_26
| spl50_28 ),
inference(sat_conversion,[],[f1354]) ).
cnf(s18,plain,
( ~ spl50_21
| spl50_23
| ~ spl50_29
| spl50_30 ),
inference(sat_conversion,[],[f1399]) ).
cnf(s19,plain,
( ~ spl50_21
| spl50_29 ),
inference(sat_conversion,[],[f1407]) ).
cnf(s20,plain,
( ~ spl50_21
| spl50_24
| ~ spl50_29
| spl50_30 ),
inference(sat_conversion,[],[f1418]) ).
cnf(s22,plain,
( ~ spl50_21
| spl50_25
| ~ spl50_29
| spl50_30 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s26,plain,
( ~ spl50_21
| ~ spl50_26
| ~ spl50_29
| spl50_30 ),
inference(sat_conversion,[],[f1507]) ).
cnf(s29,plain,
( spl50_1
| ~ spl50_2
| ~ spl50_27 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s33,plain,
( ~ spl50_21
| ~ spl50_30 ),
inference(sat_conversion,[],[f1664]) ).
cnf(s40,plain,
( ~ spl50_1
| spl50_2
| ~ spl50_28 ),
inference(sat_conversion,[],[f1753]) ).
cnf(s41,plain,
~ spl50_30,
inference(rat,[],[s33,s15]) ).
cnf(s42,plain,
spl50_29,
inference(rat,[],[s19,s15]) ).
cnf(s43,plain,
spl50_23,
inference(rat,[],[s18,s41,s42,s15]) ).
cnf(s44,plain,
~ spl50_26,
inference(rat,[],[s26,s41,s15,s42]) ).
cnf(s45,plain,
spl50_25,
inference(rat,[],[s22,s41,s15,s42]) ).
cnf(s46,plain,
spl50_24,
inference(rat,[],[s20,s41,s15,s42]) ).
cnf(s47,plain,
spl50_22,
inference(rat,[],[s14,s15]) ).
cnf(s48,plain,
spl50_28,
inference(rat,[],[s17,s43,s44,s45,s46,s47]) ).
cnf(s49,plain,
spl50_27,
inference(rat,[],[s16,s43,s44,s45,s46,s47]) ).
cnf(s51,plain,
spl50_1,
inference(rat,[],[s1,s29,s49]) ).
cnf(s52,plain,
spl50_2,
inference(rat,[],[s40,s48,s51]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s52,s51]) ).
fof(f1754,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU395+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 05:10:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/1.30 % (3274262)Detected formulas, will run a generic FOF schedule.
% 1.63/1.30 % (3274267)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=12639399:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.63/1.30 % (3274268)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=2551119785:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.63/1.30 % (3274272)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2053590744:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.63/1.30 % (3274270)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3797419838:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.63/1.30 % (3274269)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=2140913091:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.63/1.30 % (3274271)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4132409624:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.63/1.30 % (3274273)dis-21_1_sil=8000:lcm=predicate:random_seed=600341653: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)
% 1.63/1.30 % (3274270)Refutation not found, incomplete strategy
% 1.63/1.30 % (3274270)------------------------------
% 1.63/1.30 % (3274270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.63/1.30 % (3274270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/1.30 % (3274270)CaDiCaL version: 2.1.3
% 1.63/1.30 % (3274270)Termination reason: Refutation not found, incomplete strategy
% 1.63/1.30 % (3274270)Time elapsed: 0.006 s
% 1.63/1.30 % (3274270)Peak memory usage: 89 MB
% 1.63/1.30 % (3274270)Instructions burned: 9 (million)
% 1.63/1.30 % (3274272)First to succeed.
% 1.63/1.30 % (3274271)Also succeeded, but the first one will report.
% 1.63/1.30 % (3274272)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3274262"
% 1.63/1.30 % (3274273)Instruction limit reached!
% 1.63/1.30 % (3274273)------------------------------
% 1.63/1.30 % (3274273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.63/1.30 % (3274273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/1.30 % (3274273)CaDiCaL version: 2.1.3
% 1.63/1.30 % (3274273)Termination reason: Instruction limit
% 1.63/1.30 % (3274273)Termination phase: Saturation
% 1.63/1.30 % (3274273)Time elapsed: 0.078 s
% 1.63/1.30 % (3274273)Peak memory usage: 91 MB
% 1.63/1.30 % (3274273)Instructions burned: 130 (million)
% 1.63/1.30 % (3274281)lrs+10_1_sil=8000:sp=occurrence:random_seed=2650470531:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.63/1.30 % (3274270)------------------------------
% 1.63/1.30 % (3274270)------------------------------
% 1.63/1.30 % (3274272)Refutation found. Thanks to Tanya!
% 1.63/1.30 % SZS status Theorem for theBenchmark
% 1.63/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/1.39 % (3274272)------------------------------
% 1.63/1.39 % (3274272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.63/1.39 % (3274272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/1.39 % (3274272)CaDiCaL version: 2.1.3
% 1.63/1.39 % (3274272)Termination reason: Refutation
% 1.63/1.39 % (3274272)Time elapsed: 0.047 s
% 1.63/1.39 % (3274272)Peak memory usage: 91 MB
% 1.63/1.39 % (3274272)Instructions burned: 68 (million)
% 1.63/1.39 % (3274272)------------------------------
% 1.63/1.39 % (3274272)------------------------------
% 1.63/1.39 % (3274262)Success in time 0.445 s
% 1.63/1.39 % Vampire exiting
%------------------------------------------------------------------------------