TSTP Solution File: SEU392+1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SEU392+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:26:17 EDT 2023
% Result : Theorem 570.64s 72.92s
% Output : CNFRefutation 570.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 117 ( 14 unt; 0 def)
% Number of atoms : 715 ( 24 equ)
% Maximal formula atoms : 81 ( 6 avg)
% Number of connectives : 952 ( 354 ~; 414 |; 106 &)
% ( 13 <=>; 65 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-4 aty)
% Number of variables : 259 ( 1 sgn; 125 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m1_connsp_2,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ! [X3] :
( point_neighbourhood(X3,X1,X2)
=> element(X3,powerset(the_carrier(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',dt_m1_connsp_2) ).
fof(t13_yellow19,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,lim_points_of_net(X1,X2))
<=> is_a_convergence_point_of_set(X1,filter_of_net_str(X1,X2),X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',t13_yellow19) ).
fof(d1_connsp_2,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( point_neighbourhood(X3,X1,X2)
<=> in(X2,interior(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',d1_connsp_2) ).
fof(d3_yellow19,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',d3_yellow19) ).
fof(d5_waybel_7,axiom,
! [X1] :
( ( topological_space(X1)
& top_str(X1) )
=> ! [X2,X3] :
( is_a_convergence_point_of_set(X1,X2,X3)
<=> ! [X4] :
( element(X4,powerset(the_carrier(X1)))
=> ( ( open_subset(X4,X1)
& in(X3,X4) )
=> in(X4,X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',d5_waybel_7) ).
fof(dt_k1_tops_1,axiom,
! [X1,X2] :
( ( top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> element(interior(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',dt_k1_tops_1) ).
fof(fc6_tops_1,axiom,
! [X1,X2] :
( ( topological_space(X1)
& top_str(X1)
& element(X2,powerset(the_carrier(X1))) )
=> open_subset(interior(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',fc6_tops_1) ).
fof(fraenkel_a_2_1_yellow19,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X2)
& one_sorted_str(X2)
& ~ empty_carrier(X3)
& net_str(X3,X2) )
=> ( in(X1,a_2_1_yellow19(X2,X3))
<=> ? [X4] :
( element(X4,powerset(the_carrier(X2)))
& X1 = X4
& is_eventually_in(X2,X3,X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',fraenkel_a_2_1_yellow19) ).
fof(t8_waybel_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3,X4] :
( subset(X3,X4)
=> ( ( is_eventually_in(X1,X2,X3)
=> is_eventually_in(X1,X2,X4) )
& ( is_often_in(X1,X2,X3)
=> is_often_in(X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',t8_waybel_0) ).
fof(d18_yellow_6,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( X3 = lim_points_of_net(X1,X2)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X3)
<=> ! [X5] :
( point_neighbourhood(X5,X1,X4)
=> is_eventually_in(X1,X2,X5) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',d18_yellow_6) ).
fof(dt_k11_yellow_6,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> element(lim_points_of_net(X1,X2),powerset(the_carrier(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',dt_k11_yellow_6) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',dt_l1_pre_topc) ).
fof(t44_tops_1,axiom,
! [X1] :
( top_str(X1)
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> subset(interior(X1,X2),X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',t44_tops_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',t4_subset) ).
fof(t5_connsp_2,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( open_subset(X2,X1)
& in(X3,X2) )
=> point_neighbourhood(X2,X1,X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',t5_connsp_2) ).
fof(t11_yellow19,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( in(X3,filter_of_net_str(X1,X2))
<=> ( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',t11_yellow19) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p',reflexivity_r1_tarski) ).
fof(c_0_17,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ! [X3] :
( point_neighbourhood(X3,X1,X2)
=> element(X3,powerset(the_carrier(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_connsp_2]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( in(X3,lim_points_of_net(X1,X2))
<=> is_a_convergence_point_of_set(X1,filter_of_net_str(X1,X2),X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t13_yellow19])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( point_neighbourhood(X3,X1,X2)
<=> in(X2,interior(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_connsp_2]) ).
fof(c_0_20,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d3_yellow19]) ).
fof(c_0_21,plain,
! [X56,X57,X58,X59,X60,X61] :
( ( ~ is_a_convergence_point_of_set(X56,X57,X58)
| ~ element(X59,powerset(the_carrier(X56)))
| ~ open_subset(X59,X56)
| ~ in(X58,X59)
| in(X59,X57)
| ~ topological_space(X56)
| ~ top_str(X56) )
& ( element(esk4_3(X56,X60,X61),powerset(the_carrier(X56)))
| is_a_convergence_point_of_set(X56,X60,X61)
| ~ topological_space(X56)
| ~ top_str(X56) )
& ( open_subset(esk4_3(X56,X60,X61),X56)
| is_a_convergence_point_of_set(X56,X60,X61)
| ~ topological_space(X56)
| ~ top_str(X56) )
& ( in(X61,esk4_3(X56,X60,X61))
| is_a_convergence_point_of_set(X56,X60,X61)
| ~ topological_space(X56)
| ~ top_str(X56) )
& ( ~ in(esk4_3(X56,X60,X61),X60)
| is_a_convergence_point_of_set(X56,X60,X61)
| ~ topological_space(X56)
| ~ top_str(X56) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d5_waybel_7])])])])])]) ).
fof(c_0_22,plain,
! [X67,X68] :
( ~ top_str(X67)
| ~ element(X68,powerset(the_carrier(X67)))
| element(interior(X67,X68),powerset(the_carrier(X67))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).
fof(c_0_23,plain,
! [X122,X123] :
( ~ topological_space(X122)
| ~ top_str(X122)
| ~ element(X123,powerset(the_carrier(X122)))
| open_subset(interior(X122,X123),X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])]) ).
fof(c_0_24,plain,
! [X77,X78,X79] :
( empty_carrier(X77)
| ~ topological_space(X77)
| ~ top_str(X77)
| ~ element(X78,the_carrier(X77))
| ~ point_neighbourhood(X79,X77,X78)
| element(X79,powerset(the_carrier(X77))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_25,negated_conjecture,
( ~ empty_carrier(esk49_0)
& topological_space(esk49_0)
& top_str(esk49_0)
& ~ empty_carrier(esk50_0)
& transitive_relstr(esk50_0)
& directed_relstr(esk50_0)
& net_str(esk50_0,esk49_0)
& element(esk51_0,the_carrier(esk49_0))
& ( ~ in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) )
& ( in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_26,plain,
! [X51,X52,X53] :
( ( ~ point_neighbourhood(X53,X51,X52)
| in(X52,interior(X51,X53))
| ~ element(X53,powerset(the_carrier(X51)))
| ~ element(X52,the_carrier(X51))
| empty_carrier(X51)
| ~ topological_space(X51)
| ~ top_str(X51) )
& ( ~ in(X52,interior(X51,X53))
| point_neighbourhood(X53,X51,X52)
| ~ element(X53,powerset(the_carrier(X51)))
| ~ element(X52,the_carrier(X51))
| empty_carrier(X51)
| ~ topological_space(X51)
| ~ top_str(X51) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
fof(c_0_27,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X2)
& one_sorted_str(X2)
& ~ empty_carrier(X3)
& net_str(X3,X2) )
=> ( in(X1,a_2_1_yellow19(X2,X3))
<=> ? [X4] :
( element(X4,powerset(the_carrier(X2)))
& X1 = X4
& is_eventually_in(X2,X3,X4) ) ) ),
inference(fof_simplification,[status(thm)],[fraenkel_a_2_1_yellow19]) ).
fof(c_0_28,plain,
! [X54,X55] :
( empty_carrier(X54)
| ~ one_sorted_str(X54)
| empty_carrier(X55)
| ~ net_str(X55,X54)
| filter_of_net_str(X54,X55) = a_2_1_yellow19(X54,X55) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
cnf(c_0_29,plain,
( in(X4,X2)
| ~ is_a_convergence_point_of_set(X1,X2,X3)
| ~ element(X4,powerset(the_carrier(X1)))
| ~ open_subset(X4,X1)
| ~ in(X3,X4)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
( element(interior(X1,X2),powerset(the_carrier(X1)))
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,plain,
( open_subset(interior(X1,X2),X1)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,plain,
( empty_carrier(X1)
| element(X3,powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ point_neighbourhood(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
element(esk51_0,the_carrier(esk49_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
top_str(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
topological_space(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_36,negated_conjecture,
~ empty_carrier(esk49_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,plain,
( in(X3,interior(X2,X1))
| empty_carrier(X2)
| ~ point_neighbourhood(X1,X2,X3)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ element(X3,the_carrier(X2))
| ~ topological_space(X2)
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_38,plain,
! [X129,X130,X131,X133] :
( ( element(esk13_3(X129,X130,X131),powerset(the_carrier(X130)))
| ~ in(X129,a_2_1_yellow19(X130,X131))
| empty_carrier(X130)
| ~ one_sorted_str(X130)
| empty_carrier(X131)
| ~ net_str(X131,X130) )
& ( X129 = esk13_3(X129,X130,X131)
| ~ in(X129,a_2_1_yellow19(X130,X131))
| empty_carrier(X130)
| ~ one_sorted_str(X130)
| empty_carrier(X131)
| ~ net_str(X131,X130) )
& ( is_eventually_in(X130,X131,esk13_3(X129,X130,X131))
| ~ in(X129,a_2_1_yellow19(X130,X131))
| empty_carrier(X130)
| ~ one_sorted_str(X130)
| empty_carrier(X131)
| ~ net_str(X131,X130) )
& ( ~ element(X133,powerset(the_carrier(X130)))
| X129 != X133
| ~ is_eventually_in(X130,X131,X133)
| in(X129,a_2_1_yellow19(X130,X131))
| empty_carrier(X130)
| ~ one_sorted_str(X130)
| empty_carrier(X131)
| ~ net_str(X131,X130) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])]) ).
cnf(c_0_39,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| filter_of_net_str(X1,X2) = a_2_1_yellow19(X1,X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_40,negated_conjecture,
net_str(esk50_0,esk49_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_41,negated_conjecture,
~ empty_carrier(esk50_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,plain,
( in(interior(X1,X2),X3)
| ~ is_a_convergence_point_of_set(X1,X3,X4)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ in(X4,interior(X1,X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_43,negated_conjecture,
( element(X1,powerset(the_carrier(esk49_0)))
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_44,plain,
( empty_carrier(X1)
| in(X2,interior(X1,X3))
| ~ point_neighbourhood(X3,X1,X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(csr,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_45,plain,
( X1 = esk13_3(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X3)
| ~ in(X1,a_2_1_yellow19(X2,X3))
| ~ one_sorted_str(X2)
| ~ net_str(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
( a_2_1_yellow19(esk49_0,esk50_0) = filter_of_net_str(esk49_0,esk50_0)
| ~ one_sorted_str(esk49_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_36]) ).
cnf(c_0_47,negated_conjecture,
( in(interior(esk49_0,X1),X2)
| ~ is_a_convergence_point_of_set(esk49_0,X2,X3)
| ~ point_neighbourhood(X1,esk49_0,esk51_0)
| ~ in(X3,interior(esk49_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_34]),c_0_35])]) ).
cnf(c_0_48,negated_conjecture,
( in(esk51_0,interior(esk49_0,X1))
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
fof(c_0_49,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3,X4] :
( subset(X3,X4)
=> ( ( is_eventually_in(X1,X2,X3)
=> is_eventually_in(X1,X2,X4) )
& ( is_often_in(X1,X2,X3)
=> is_often_in(X1,X2,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t8_waybel_0]) ).
cnf(c_0_50,plain,
( is_eventually_in(X1,X2,esk13_3(X3,X1,X2))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ in(X3,a_2_1_yellow19(X1,X2))
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_51,negated_conjecture,
( esk13_3(X1,esk49_0,esk50_0) = X1
| ~ one_sorted_str(esk49_0)
| ~ in(X1,filter_of_net_str(esk49_0,esk50_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_40])]),c_0_41]),c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( in(interior(esk49_0,X1),X2)
| ~ is_a_convergence_point_of_set(esk49_0,X2,esk51_0)
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_53,plain,
! [X230,X231,X232,X233] :
( ( ~ is_eventually_in(X230,X231,X232)
| is_eventually_in(X230,X231,X233)
| ~ subset(X232,X233)
| empty_carrier(X231)
| ~ net_str(X231,X230)
| empty_carrier(X230)
| ~ one_sorted_str(X230) )
& ( ~ is_often_in(X230,X231,X232)
| is_often_in(X230,X231,X233)
| ~ subset(X232,X233)
| empty_carrier(X231)
| ~ net_str(X231,X230)
| empty_carrier(X230)
| ~ one_sorted_str(X230) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
cnf(c_0_54,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,esk13_3(X1,esk49_0,esk50_0))
| ~ one_sorted_str(esk49_0)
| ~ in(X1,filter_of_net_str(esk49_0,esk50_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_40])]),c_0_41]),c_0_36]) ).
cnf(c_0_55,negated_conjecture,
( esk13_3(interior(esk49_0,X1),esk49_0,esk50_0) = interior(esk49_0,X1)
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0)
| ~ one_sorted_str(esk49_0)
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,powerset(the_carrier(X1)))
=> ( X3 = lim_points_of_net(X1,X2)
<=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( in(X4,X3)
<=> ! [X5] :
( point_neighbourhood(X5,X1,X4)
=> is_eventually_in(X1,X2,X5) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d18_yellow_6]) ).
fof(c_0_57,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> element(lim_points_of_net(X1,X2),powerset(the_carrier(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k11_yellow_6]) ).
cnf(c_0_58,plain,
( is_eventually_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ subset(X3,X4)
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,interior(esk49_0,X1))
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0)
| ~ one_sorted_str(esk49_0)
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_52]) ).
fof(c_0_60,plain,
! [X74] :
( ~ top_str(X74)
| one_sorted_str(X74) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(c_0_61,plain,
! [X42,X43,X44,X45,X46,X50] :
( ( ~ in(X45,X44)
| ~ point_neighbourhood(X46,X42,X45)
| is_eventually_in(X42,X43,X46)
| ~ element(X45,the_carrier(X42))
| X44 != lim_points_of_net(X42,X43)
| ~ element(X44,powerset(the_carrier(X42)))
| empty_carrier(X43)
| ~ transitive_relstr(X43)
| ~ directed_relstr(X43)
| ~ net_str(X43,X42)
| empty_carrier(X42)
| ~ topological_space(X42)
| ~ top_str(X42) )
& ( point_neighbourhood(esk1_4(X42,X43,X44,X45),X42,X45)
| in(X45,X44)
| ~ element(X45,the_carrier(X42))
| X44 != lim_points_of_net(X42,X43)
| ~ element(X44,powerset(the_carrier(X42)))
| empty_carrier(X43)
| ~ transitive_relstr(X43)
| ~ directed_relstr(X43)
| ~ net_str(X43,X42)
| empty_carrier(X42)
| ~ topological_space(X42)
| ~ top_str(X42) )
& ( ~ is_eventually_in(X42,X43,esk1_4(X42,X43,X44,X45))
| in(X45,X44)
| ~ element(X45,the_carrier(X42))
| X44 != lim_points_of_net(X42,X43)
| ~ element(X44,powerset(the_carrier(X42)))
| empty_carrier(X43)
| ~ transitive_relstr(X43)
| ~ directed_relstr(X43)
| ~ net_str(X43,X42)
| empty_carrier(X42)
| ~ topological_space(X42)
| ~ top_str(X42) )
& ( element(esk2_3(X42,X43,X44),the_carrier(X42))
| X44 = lim_points_of_net(X42,X43)
| ~ element(X44,powerset(the_carrier(X42)))
| empty_carrier(X43)
| ~ transitive_relstr(X43)
| ~ directed_relstr(X43)
| ~ net_str(X43,X42)
| empty_carrier(X42)
| ~ topological_space(X42)
| ~ top_str(X42) )
& ( point_neighbourhood(esk3_3(X42,X43,X44),X42,esk2_3(X42,X43,X44))
| ~ in(esk2_3(X42,X43,X44),X44)
| X44 = lim_points_of_net(X42,X43)
| ~ element(X44,powerset(the_carrier(X42)))
| empty_carrier(X43)
| ~ transitive_relstr(X43)
| ~ directed_relstr(X43)
| ~ net_str(X43,X42)
| empty_carrier(X42)
| ~ topological_space(X42)
| ~ top_str(X42) )
& ( ~ is_eventually_in(X42,X43,esk3_3(X42,X43,X44))
| ~ in(esk2_3(X42,X43,X44),X44)
| X44 = lim_points_of_net(X42,X43)
| ~ element(X44,powerset(the_carrier(X42)))
| empty_carrier(X43)
| ~ transitive_relstr(X43)
| ~ directed_relstr(X43)
| ~ net_str(X43,X42)
| empty_carrier(X42)
| ~ topological_space(X42)
| ~ top_str(X42) )
& ( in(esk2_3(X42,X43,X44),X44)
| ~ point_neighbourhood(X50,X42,esk2_3(X42,X43,X44))
| is_eventually_in(X42,X43,X50)
| X44 = lim_points_of_net(X42,X43)
| ~ element(X44,powerset(the_carrier(X42)))
| empty_carrier(X43)
| ~ transitive_relstr(X43)
| ~ directed_relstr(X43)
| ~ net_str(X43,X42)
| empty_carrier(X42)
| ~ topological_space(X42)
| ~ top_str(X42) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])])])]) ).
fof(c_0_62,plain,
! [X65,X66] :
( empty_carrier(X65)
| ~ topological_space(X65)
| ~ top_str(X65)
| empty_carrier(X66)
| ~ transitive_relstr(X66)
| ~ directed_relstr(X66)
| ~ net_str(X66,X65)
| element(lim_points_of_net(X65,X66),powerset(the_carrier(X65))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])]) ).
cnf(c_0_63,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,X1)
| ~ subset(interior(esk49_0,X2),X1)
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0)
| ~ one_sorted_str(esk49_0)
| ~ point_neighbourhood(X2,esk49_0,esk51_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_40])]),c_0_41]),c_0_36]) ).
cnf(c_0_64,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_65,plain,
! [X214,X215] :
( ~ top_str(X214)
| ~ element(X215,powerset(the_carrier(X214)))
| subset(interior(X214,X215),X215) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t44_tops_1])])]) ).
cnf(c_0_66,plain,
( point_neighbourhood(esk1_4(X1,X2,X3,X4),X1,X4)
| in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_67,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| element(lim_points_of_net(X1,X2),powerset(the_carrier(X1)))
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_68,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,X1)
| ~ subset(interior(esk49_0,X2),X1)
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0)
| ~ point_neighbourhood(X2,esk49_0,esk51_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_34])]) ).
cnf(c_0_69,negated_conjecture,
( in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_70,plain,
( subset(interior(X1,X2),X2)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_71,plain,
( point_neighbourhood(esk1_4(X1,X2,lim_points_of_net(X1,X2),X3),X1,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| in(X3,lim_points_of_net(X1,X2))
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ element(X3,the_carrier(X1))
| ~ transitive_relstr(X2) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_66]),c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,X1)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ subset(interior(esk49_0,X2),X1)
| ~ point_neighbourhood(X2,esk49_0,esk51_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( subset(interior(esk49_0,X1),X1)
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_43]),c_0_34])]) ).
cnf(c_0_74,negated_conjecture,
( point_neighbourhood(esk1_4(esk49_0,X1,lim_points_of_net(esk49_0,X1),esk51_0),esk49_0,esk51_0)
| empty_carrier(X1)
| in(esk51_0,lim_points_of_net(esk49_0,X1))
| ~ net_str(X1,esk49_0)
| ~ directed_relstr(X1)
| ~ transitive_relstr(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_75,negated_conjecture,
directed_relstr(esk50_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_76,negated_conjecture,
transitive_relstr(esk50_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_77,plain,
! [X216,X217,X218] :
( ~ in(X216,X217)
| ~ element(X217,powerset(X218))
| element(X216,X218) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_78,plain,
( in(X4,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,esk1_4(X1,X2,X3,X4))
| ~ element(X4,the_carrier(X1))
| X3 != lim_points_of_net(X1,X2)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_79,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,X1)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( point_neighbourhood(esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0),esk49_0,esk51_0)
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_40]),c_0_75]),c_0_76])]),c_0_41]) ).
fof(c_0_81,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( element(X2,powerset(the_carrier(X1)))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( ( open_subset(X2,X1)
& in(X3,X2) )
=> point_neighbourhood(X2,X1,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_connsp_2]) ).
cnf(c_0_82,plain,
( is_eventually_in(X4,X5,X3)
| empty_carrier(X5)
| empty_carrier(X4)
| ~ in(X1,X2)
| ~ point_neighbourhood(X3,X4,X1)
| ~ element(X1,the_carrier(X4))
| X2 != lim_points_of_net(X4,X5)
| ~ element(X2,powerset(the_carrier(X4)))
| ~ transitive_relstr(X5)
| ~ directed_relstr(X5)
| ~ net_str(X5,X4)
| ~ topological_space(X4)
| ~ top_str(X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_83,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| in(X3,lim_points_of_net(X2,X1))
| ~ is_eventually_in(X2,X1,esk1_4(X2,X1,lim_points_of_net(X2,X1),X3))
| ~ net_str(X1,X2)
| ~ directed_relstr(X1)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ element(X3,the_carrier(X2))
| ~ transitive_relstr(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_78]),c_0_67]) ).
cnf(c_0_85,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,esk1_4(esk49_0,esk50_0,lim_points_of_net(esk49_0,esk50_0),esk51_0))
| in(esk51_0,lim_points_of_net(esk49_0,esk50_0)) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_86,plain,
! [X219,X220,X221] :
( empty_carrier(X219)
| ~ topological_space(X219)
| ~ top_str(X219)
| ~ element(X220,powerset(the_carrier(X219)))
| ~ element(X221,the_carrier(X219))
| ~ open_subset(X220,X219)
| ~ in(X221,X220)
| point_neighbourhood(X220,X219,X221) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])]) ).
fof(c_0_87,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( in(X3,filter_of_net_str(X1,X2))
<=> ( is_eventually_in(X1,X2,X3)
& element(X3,powerset(the_carrier(X1))) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_yellow19]) ).
cnf(c_0_88,plain,
( is_eventually_in(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ point_neighbourhood(X3,X1,X4)
| ~ net_str(X2,X1)
| ~ directed_relstr(X2)
| ~ top_str(X1)
| ~ topological_space(X1)
| ~ transitive_relstr(X2)
| ~ in(X4,lim_points_of_net(X1,X2)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_82,c_0_83])]),c_0_67]) ).
cnf(c_0_89,negated_conjecture,
in(esk51_0,lim_points_of_net(esk49_0,esk50_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_40]),c_0_75]),c_0_34]),c_0_35]),c_0_33]),c_0_76])]),c_0_36]),c_0_41]) ).
cnf(c_0_90,plain,
( empty_carrier(X1)
| point_neighbourhood(X2,X1,X3)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,powerset(the_carrier(X1)))
| ~ element(X3,the_carrier(X1))
| ~ open_subset(X2,X1)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_91,plain,
( element(esk4_3(X1,X2,X3),powerset(the_carrier(X1)))
| is_a_convergence_point_of_set(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_92,plain,
( open_subset(esk4_3(X1,X2,X3),X1)
| is_a_convergence_point_of_set(X1,X2,X3)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_93,plain,
! [X199,X200,X201] :
( ( is_eventually_in(X199,X200,X201)
| ~ in(X201,filter_of_net_str(X199,X200))
| empty_carrier(X200)
| ~ net_str(X200,X199)
| empty_carrier(X199)
| ~ one_sorted_str(X199) )
& ( element(X201,powerset(the_carrier(X199)))
| ~ in(X201,filter_of_net_str(X199,X200))
| empty_carrier(X200)
| ~ net_str(X200,X199)
| empty_carrier(X199)
| ~ one_sorted_str(X199) )
& ( ~ is_eventually_in(X199,X200,X201)
| ~ element(X201,powerset(the_carrier(X199)))
| in(X201,filter_of_net_str(X199,X200))
| empty_carrier(X200)
| ~ net_str(X200,X199)
| empty_carrier(X199)
| ~ one_sorted_str(X199) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])])]) ).
cnf(c_0_94,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,X1)
| ~ point_neighbourhood(X1,esk49_0,esk51_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_40]),c_0_75]),c_0_34]),c_0_35]),c_0_76])]),c_0_36]),c_0_41]) ).
cnf(c_0_95,plain,
( point_neighbourhood(X1,X2,X3)
| empty_carrier(X2)
| ~ open_subset(X1,X2)
| ~ top_str(X2)
| ~ topological_space(X2)
| ~ element(X1,powerset(the_carrier(X2)))
| ~ in(X3,X1) ),
inference(csr,[status(thm)],[c_0_90,c_0_83]) ).
cnf(c_0_96,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| element(esk4_3(esk49_0,X1,X2),powerset(the_carrier(esk49_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_34]),c_0_35])]) ).
cnf(c_0_97,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| open_subset(esk4_3(esk49_0,X1,X2),esk49_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_34]),c_0_35])]) ).
cnf(c_0_98,plain,
( in(X1,esk4_3(X2,X3,X1))
| is_a_convergence_point_of_set(X2,X3,X1)
| ~ topological_space(X2)
| ~ top_str(X2) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_99,plain,
( in(X3,filter_of_net_str(X1,X2))
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,X3)
| ~ element(X3,powerset(the_carrier(X1)))
| ~ net_str(X2,X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_100,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,X1)
| ~ subset(X2,X1)
| ~ one_sorted_str(esk49_0)
| ~ point_neighbourhood(X2,esk49_0,esk51_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_94]),c_0_40])]),c_0_41]),c_0_36]) ).
cnf(c_0_101,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| point_neighbourhood(esk4_3(esk49_0,X1,X2),esk49_0,X3)
| ~ in(X3,esk4_3(esk49_0,X1,X2)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_34]),c_0_35])]),c_0_36]),c_0_97]) ).
cnf(c_0_102,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| in(X2,esk4_3(esk49_0,X1,X2)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_34]),c_0_35])]) ).
cnf(c_0_103,negated_conjecture,
( empty_carrier(X1)
| in(X2,filter_of_net_str(esk49_0,X1))
| ~ one_sorted_str(esk49_0)
| ~ is_eventually_in(esk49_0,X1,X2)
| ~ point_neighbourhood(X2,esk49_0,esk51_0)
| ~ net_str(X1,esk49_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_43]),c_0_36]) ).
cnf(c_0_104,negated_conjecture,
( is_eventually_in(esk49_0,esk50_0,X1)
| ~ subset(X2,X1)
| ~ point_neighbourhood(X2,esk49_0,esk51_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_64]),c_0_34])]) ).
cnf(c_0_105,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,X2)
| point_neighbourhood(esk4_3(esk49_0,X1,X2),esk49_0,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
fof(c_0_106,plain,
! [X198] : subset(X198,X198),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
cnf(c_0_107,negated_conjecture,
( empty_carrier(X1)
| in(X2,filter_of_net_str(esk49_0,X1))
| ~ is_eventually_in(esk49_0,X1,X2)
| ~ point_neighbourhood(X2,esk49_0,esk51_0)
| ~ net_str(X1,esk49_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_64]),c_0_34])]) ).
cnf(c_0_108,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,esk51_0)
| is_eventually_in(esk49_0,esk50_0,X2)
| ~ subset(esk4_3(esk49_0,X1,esk51_0),X2) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_109,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_110,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,esk51_0)
| empty_carrier(X2)
| in(esk4_3(esk49_0,X1,esk51_0),filter_of_net_str(esk49_0,X2))
| ~ is_eventually_in(esk49_0,X2,esk4_3(esk49_0,X1,esk51_0))
| ~ net_str(X2,esk49_0) ),
inference(spm,[status(thm)],[c_0_107,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,esk51_0)
| is_eventually_in(esk49_0,esk50_0,esk4_3(esk49_0,X1,esk51_0)) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
( ~ in(esk51_0,lim_points_of_net(esk49_0,esk50_0))
| ~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_113,plain,
( is_a_convergence_point_of_set(X1,X2,X3)
| ~ in(esk4_3(X1,X2,X3),X2)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_114,negated_conjecture,
( is_a_convergence_point_of_set(esk49_0,X1,esk51_0)
| in(esk4_3(esk49_0,X1,esk51_0),filter_of_net_str(esk49_0,esk50_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_40])]),c_0_41]) ).
cnf(c_0_115,negated_conjecture,
~ is_a_convergence_point_of_set(esk49_0,filter_of_net_str(esk49_0,esk50_0),esk51_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_89])]) ).
cnf(c_0_116,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_34]),c_0_35])]),c_0_115]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n019.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Oct 2 09:17:51 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.x3qXMpsmtH/E---3.1_18034.p
% 570.64/72.92 # Version: 3.1pre001
% 570.64/72.92 # Preprocessing class: FSLSSMSSSSSNFFN.
% 570.64/72.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 570.64/72.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 570.64/72.92 # Starting new_bool_3 with 300s (1) cores
% 570.64/72.92 # Starting new_bool_1 with 300s (1) cores
% 570.64/72.92 # Starting sh5l with 300s (1) cores
% 570.64/72.92 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 18112 completed with status 0
% 570.64/72.92 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 570.64/72.92 # Preprocessing class: FSLSSMSSSSSNFFN.
% 570.64/72.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 570.64/72.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 570.64/72.92 # No SInE strategy applied
% 570.64/72.92 # Search class: FGHSM-FSLM31-MFFFFFNN
% 570.64/72.92 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 570.64/72.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 570.64/72.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 570.64/72.92 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 570.64/72.92 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 570.64/72.92 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 570.64/72.92 # U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 18122 completed with status 0
% 570.64/72.92 # Result found by U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 570.64/72.92 # Preprocessing class: FSLSSMSSSSSNFFN.
% 570.64/72.92 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 570.64/72.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 570.64/72.92 # No SInE strategy applied
% 570.64/72.92 # Search class: FGHSM-FSLM31-MFFFFFNN
% 570.64/72.92 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 570.64/72.92 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 570.64/72.92 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 570.64/72.92 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 570.64/72.92 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 570.64/72.92 # Preprocessing time : 0.004 s
% 570.64/72.92 # Presaturation interreduction done
% 570.64/72.92
% 570.64/72.92 # Proof found!
% 570.64/72.92 # SZS status Theorem
% 570.64/72.92 # SZS output start CNFRefutation
% See solution above
% 570.64/72.92 # Parsed axioms : 135
% 570.64/72.92 # Removed by relevancy pruning/SinE : 0
% 570.64/72.92 # Initial clauses : 434
% 570.64/72.92 # Removed in clause preprocessing : 35
% 570.64/72.92 # Initial clauses in saturation : 399
% 570.64/72.92 # Processed clauses : 156752
% 570.64/72.92 # ...of these trivial : 251
% 570.64/72.92 # ...subsumed : 122997
% 570.64/72.92 # ...remaining for further processing : 33504
% 570.64/72.92 # Other redundant clauses eliminated : 12
% 570.64/72.92 # Clauses deleted for lack of memory : 0
% 570.64/72.92 # Backward-subsumed : 2530
% 570.64/72.92 # Backward-rewritten : 657
% 570.64/72.92 # Generated clauses : 2091222
% 570.64/72.92 # ...of the previous two non-redundant : 1927329
% 570.64/72.92 # ...aggressively subsumed : 0
% 570.64/72.92 # Contextual simplify-reflections : 481
% 570.64/72.92 # Paramodulations : 2090816
% 570.64/72.92 # Factorizations : 322
% 570.64/72.92 # NegExts : 0
% 570.64/72.92 # Equation resolutions : 18
% 570.64/72.92 # Total rewrite steps : 396387
% 570.64/72.92 # Propositional unsat checks : 6
% 570.64/72.92 # Propositional check models : 0
% 570.64/72.92 # Propositional check unsatisfiable : 0
% 570.64/72.92 # Propositional clauses : 0
% 570.64/72.92 # Propositional clauses after purity: 0
% 570.64/72.92 # Propositional unsat core size : 0
% 570.64/72.92 # Propositional preprocessing time : 0.000
% 570.64/72.92 # Propositional encoding time : 6.205
% 570.64/72.92 # Propositional solver time : 5.506
% 570.64/72.92 # Success case prop preproc time : 0.000
% 570.64/72.92 # Success case prop encoding time : 0.000
% 570.64/72.92 # Success case prop solver time : 0.000
% 570.64/72.92 # Current number of processed clauses : 29908
% 570.64/72.92 # Positive orientable unit clauses : 1350
% 570.64/72.92 # Positive unorientable unit clauses: 0
% 570.64/72.92 # Negative unit clauses : 484
% 570.64/72.92 # Non-unit-clauses : 28074
% 570.64/72.92 # Current number of unprocessed clauses: 1482903
% 570.64/72.92 # ...number of literals in the above : 5839149
% 570.64/72.92 # Current number of archived formulas : 0
% 570.64/72.92 # Current number of archived clauses : 3592
% 570.64/72.92 # Clause-clause subsumption calls (NU) : 86908606
% 570.64/72.92 # Rec. Clause-clause subsumption calls : 45015338
% 570.64/72.92 # Non-unit clause-clause subsumptions : 105350
% 570.64/72.92 # Unit Clause-clause subsumption calls : 548445
% 570.64/72.92 # Rewrite failures with RHS unbound : 0
% 570.64/72.92 # BW rewrite match attempts : 38850
% 570.64/72.92 # BW rewrite match successes : 43
% 570.64/72.92 # Condensation attempts : 0
% 570.64/72.92 # Condensation successes : 0
% 570.64/72.92 # Termbank termtop insertions : 59606731
% 570.64/72.92
% 570.64/72.92 # -------------------------------------------------
% 570.64/72.92 # User time : 70.093 s
% 570.64/72.92 # System time : 1.165 s
% 570.64/72.92 # Total time : 71.257 s
% 570.64/72.92 # Maximum resident set size: 2856 pages
% 570.64/72.92
% 570.64/72.92 # -------------------------------------------------
% 570.64/72.92 # User time : 351.107 s
% 570.64/72.92 # System time : 5.432 s
% 570.64/72.92 # Total time : 356.540 s
% 570.64/72.92 # Maximum resident set size: 1864 pages
% 570.64/72.92 % E---3.1 exiting
% 570.64/72.92 % E---3.1 exiting
%------------------------------------------------------------------------------