%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU386+1 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:45:21 PM UTC 2025
% Result : Theorem 4.15s 0.86s
% Output : CNFRefutation 4.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 49 unt; 0 def)
% Number of atoms : 220 ( 3 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 242 ( 94 ~; 93 |; 29 &)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t29_waybel_9,plain,
! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( ( ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) )
=> ! [C] :
( element(C,the_carrier(A))
=> ( in(C,lim_points_of_net(A,B))
=> is_a_cluster_point_of_netstr(A,B,C) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_waybel_9) ).
fof(t29_waybel_9_negated,plain,
~ ! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( ( ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) )
=> ! [C] :
( element(C,the_carrier(A))
=> ( in(C,lim_points_of_net(A,B))
=> is_a_cluster_point_of_netstr(A,B,C) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t29_waybel_9]) ).
cnf(53,plain,
~ empty_carrier(sK19),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l0,plain,
~ empty_carrier(sK19),
inference(instantiation,[status(thm)],[53]) ).
fof(d18_yellow_6,plain,
! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( ( ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) )
=> ! [C] :
( element(C,powerset(the_carrier(A)))
=> ( C = lim_points_of_net(A,B)
<=> ! [D] :
( element(D,the_carrier(A))
=> ( in(D,C)
<=> ! [E] :
( point_neighbourhood(E,A,D)
=> is_eventually_in(A,B,E) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d18_yellow_6) ).
cnf(7,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X0,the_carrier(X2))
| ~ net_str(X3,X2)
| ~ top_str(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| X1 != lim_points_of_net(X2,X3)
| ~ point_neighbourhood(X4,X2,X0)
| ~ topological_space(X2)
| is_eventually_in(X2,X3,X4)
| empty_carrier(X2)
| empty_carrier(X3) ),
inference(cnf,[status(esa)],[d18_yellow_6]) ).
cnf(l1,plain,
( ~ in(sK21,lim_points_of_net(sK19,sK20))
| ~ element(lim_points_of_net(sK19,sK20),powerset(the_carrier(sK19)))
| ~ element(sK21,the_carrier(sK19))
| ~ net_str(sK20,sK19)
| ~ top_str(sK19)
| ~ transitive_relstr(sK20)
| ~ directed_relstr(sK20)
| lim_points_of_net(sK19,sK20) != lim_points_of_net(sK19,sK20)
| ~ point_neighbourhood(sK5(sK19,sK20,sK21),sK19,sK21)
| ~ topological_space(sK19)
| is_eventually_in(sK19,sK20,sK5(sK19,sK20,sK21))
| empty_carrier(sK19)
| empty_carrier(sK20) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(55,plain,
top_str(sK19),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l4,plain,
top_str(sK19),
inference(instantiation,[status(thm)],[55]) ).
fof(dt_k11_yellow_6,plain,
! [A,B] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A)
& ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) )
=> element(lim_points_of_net(A,B),powerset(the_carrier(A))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_yellow_6) ).
cnf(19,plain,
( ~ net_str(X0,X1)
| ~ top_str(X1)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ topological_space(X1)
| element(lim_points_of_net(X1,X0),powerset(the_carrier(X1)))
| empty_carrier(X1)
| empty_carrier(X0) ),
inference(cnf,[status(esa)],[dt_k11_yellow_6]) ).
cnf(l3,plain,
( ~ net_str(sK20,sK19)
| ~ top_str(sK19)
| ~ transitive_relstr(sK20)
| ~ directed_relstr(sK20)
| ~ topological_space(sK19)
| element(lim_points_of_net(sK19,sK20),powerset(the_carrier(sK19)))
| empty_carrier(sK19)
| empty_carrier(sK20) ),
inference(instantiation,[status(thm)],[19]) ).
fof(t28_yellow_6,plain,
! [A] :
( ( ~ empty_carrier(A)
& one_sorted_str(A) )
=> ! [B] :
( ( ~ empty_carrier(B)
& transitive_relstr(B)
& directed_relstr(B)
& net_str(B,A) )
=> ! [C] :
( is_eventually_in(A,B,C)
=> is_often_in(A,B,C) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_yellow_6) ).
cnf(52,plain,
( ~ net_str(X0,X1)
| ~ transitive_relstr(X0)
| ~ directed_relstr(X0)
| ~ is_eventually_in(X1,X0,X2)
| ~ one_sorted_str(X1)
| empty_carrier(X1)
| empty_carrier(X0)
| is_often_in(X1,X0,X2) ),
inference(cnf,[status(esa)],[t28_yellow_6]) ).
cnf(l390,plain,
( ~ net_str(sK20,sK19)
| ~ transitive_relstr(sK20)
| ~ directed_relstr(sK20)
| ~ is_eventually_in(sK19,sK20,sK5(sK19,sK20,sK21))
| ~ one_sorted_str(sK19)
| empty_carrier(sK19)
| empty_carrier(sK20)
| is_often_in(sK19,sK20,sK5(sK19,sK20,sK21)) ),
inference(instantiation,[status(thm)],[52]) ).
fof(dt_l1_pre_topc,plain,
! [A] :
( top_str(A)
=> one_sorted_str(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
cnf(21,plain,
( ~ top_str(X0)
| one_sorted_str(X0) ),
inference(cnf,[status(esa)],[dt_l1_pre_topc]) ).
cnf(l532,plain,
( ~ top_str(sK19)
| one_sorted_str(sK19) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(l293,plain,
top_str(sK19),
inference(instantiation,[status(thm)],[55]) ).
cnf(57,plain,
transitive_relstr(sK20),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l295,plain,
transitive_relstr(sK20),
inference(instantiation,[status(thm)],[57]) ).
fof(d9_waybel_9,plain,
! [A] :
( ( ~ empty_carrier(A)
& topological_space(A)
& top_str(A) )
=> ! [B] :
( ( ~ empty_carrier(B)
& net_str(B,A) )
=> ! [C] :
( element(C,the_carrier(A))
=> ( is_a_cluster_point_of_netstr(A,B,C)
<=> ! [D] :
( point_neighbourhood(D,A,C)
=> is_often_in(A,B,D) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_waybel_9) ).
cnf(18,plain,
( ~ element(X0,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ is_often_in(X1,X2,sK5(X1,X2,X0))
| empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X0) ),
inference(cnf,[status(esa)],[d9_waybel_9]) ).
cnf(l537,plain,
( ~ element(sK21,the_carrier(sK19))
| ~ net_str(sK20,sK19)
| ~ top_str(sK19)
| ~ topological_space(sK19)
| ~ is_often_in(sK19,sK20,sK5(sK19,sK20,sK21))
| empty_carrier(sK19)
| empty_carrier(sK20)
| is_a_cluster_point_of_netstr(sK19,sK20,sK21) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l549,plain,
top_str(sK19),
inference(instantiation,[status(thm)],[55]) ).
cnf(58,plain,
directed_relstr(sK20),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l12,plain,
directed_relstr(sK20),
inference(instantiation,[status(thm)],[58]) ).
cnf(l310,plain,
directed_relstr(sK20),
inference(instantiation,[status(thm)],[58]) ).
cnf(54,plain,
topological_space(sK19),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l720,plain,
topological_space(sK19),
inference(instantiation,[status(thm)],[54]) ).
cnf(l9,plain,
transitive_relstr(sK20),
inference(instantiation,[status(thm)],[57]) ).
cnf(59,plain,
net_str(sK20,sK19),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l543,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[59]) ).
cnf(l6,plain,
topological_space(sK19),
inference(instantiation,[status(thm)],[54]) ).
cnf(62,plain,
~ is_a_cluster_point_of_netstr(sK19,sK20,sK21),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l719,plain,
~ is_a_cluster_point_of_netstr(sK19,sK20,sK21),
inference(instantiation,[status(thm)],[62]) ).
cnf(l302,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[59]) ).
cnf(l399,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[59]) ).
cnf(l405,plain,
directed_relstr(sK20),
inference(instantiation,[status(thm)],[58]) ).
cnf(56,plain,
~ empty_carrier(sK20),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l650,plain,
~ empty_carrier(sK20),
inference(instantiation,[status(thm)],[56]) ).
cnf(l335,plain,
~ empty_carrier(sK20),
inference(instantiation,[status(thm)],[56]) ).
cnf(l531,plain,
transitive_relstr(sK20),
inference(instantiation,[status(thm)],[57]) ).
cnf(l321,plain,
topological_space(sK19),
inference(instantiation,[status(thm)],[54]) ).
cnf(l5,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[59]) ).
cnf(l721,plain,
~ empty_carrier(sK20),
inference(instantiation,[status(thm)],[56]) ).
fof(t4_subset,plain,
! [A,B,C] :
( ( in(A,B)
& element(B,powerset(C)) )
=> element(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
cnf(66,plain,
( ~ in(X0,X1)
| ~ element(X1,powerset(X2))
| element(X0,X2) ),
inference(cnf,[status(esa)],[t4_subset]) ).
cnf(l11,plain,
( ~ in(sK21,lim_points_of_net(sK19,sK20))
| ~ element(lim_points_of_net(sK19,sK20),powerset(the_carrier(sK19)))
| element(sK21,the_carrier(sK19)) ),
inference(instantiation,[status(thm)],[66]) ).
cnf(60,plain,
element(sK21,the_carrier(sK19)),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l545,plain,
element(sK21,the_carrier(sK19)),
inference(instantiation,[status(thm)],[60]) ).
cnf(17,plain,
( ~ element(X0,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ top_str(X1)
| ~ topological_space(X1)
| point_neighbourhood(sK5(X1,X2,X0),X1,X0)
| empty_carrier(X1)
| empty_carrier(X2)
| is_a_cluster_point_of_netstr(X1,X2,X0) ),
inference(cnf,[status(esa)],[d9_waybel_9]) ).
cnf(l389,plain,
( ~ element(sK21,the_carrier(sK19))
| ~ net_str(sK20,sK19)
| ~ top_str(sK19)
| ~ topological_space(sK19)
| point_neighbourhood(sK5(sK19,sK20,sK21),sK19,sK21)
| empty_carrier(sK19)
| empty_carrier(sK20)
| is_a_cluster_point_of_netstr(sK19,sK20,sK21) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l664,plain,
~ empty_carrier(sK20),
inference(instantiation,[status(thm)],[56]) ).
cnf(l432,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[59]) ).
cnf(61,plain,
in(sK21,lim_points_of_net(sK19,sK20)),
inference(cnf,[status(esa)],[t29_waybel_9_negated]) ).
cnf(l2,plain,
in(sK21,lim_points_of_net(sK19,sK20)),
inference(instantiation,[status(thm)],[61]) ).
cnf(l539,plain,
top_str(sK19),
inference(instantiation,[status(thm)],[55]) ).
cnf(l518,plain,
~ is_a_cluster_point_of_netstr(sK19,sK20,sK21),
inference(instantiation,[status(thm)],[62]) ).
cnf(l522,plain,
topological_space(sK19),
inference(instantiation,[status(thm)],[54]) ).
cnf(l524,plain,
top_str(sK19),
inference(instantiation,[status(thm)],[55]) ).
cnf(l521,plain,
~ empty_carrier(sK20),
inference(instantiation,[status(thm)],[56]) ).
cnf(l401,plain,
element(sK21,the_carrier(sK19)),
inference(instantiation,[status(thm)],[60]) ).
cnf(l31,plain,
( ~ net_str(sK20,sK19)
| ~ top_str(sK19)
| ~ transitive_relstr(sK20)
| ~ directed_relstr(sK20)
| ~ topological_space(sK19)
| element(lim_points_of_net(sK19,sK20),powerset(the_carrier(sK19)))
| empty_carrier(sK19)
| empty_carrier(sK20) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(l153,plain,
top_str(sK19),
inference(instantiation,[status(thm)],[55]) ).
cnf(l751,plain,
topological_space(sK19),
inference(instantiation,[status(thm)],[54]) ).
cnf(l55,plain,
in(sK21,lim_points_of_net(sK19,sK20)),
inference(instantiation,[status(thm)],[61]) ).
cnf(l150,plain,
net_str(sK20,sK19),
inference(instantiation,[status(thm)],[59]) ).
cnf(l579,plain,
transitive_relstr(sK20),
inference(instantiation,[status(thm)],[57]) ).
cnf(l570,plain,
directed_relstr(sK20),
inference(instantiation,[status(thm)],[58]) ).
cnf(l752,plain,
~ empty_carrier(sK20),
inference(instantiation,[status(thm)],[56]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l390,l532,l293,l295,l537,l549,l12,l310,l720,l9,l543,l6,l719,l302,l399,l405,l650,l335,l531,l321,l5,l721,l11,l545,l389,l664,l432,l2,l539,l518,l522,l524,l521,l401,l31,l153,l751,l55,l150,l579,l570,l752]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU386+1 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 01:19:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.19/0.46 % launching worker at depth: 11
% 4.15/0.86 % SZS status Theorem for theBenchmark
% 4.15/0.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------