%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SEU386+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n024.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 : Tue May 5 05:12:08 PM UTC 2026
% Result : Theorem 0.16s 1.51s
% Output : CNFRefutation 0.35s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 95)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/theBenchmark.p',d18_yellow_6) ).
fof(d9_waybel_9,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( is_a_cluster_point_of_netstr(X1,X2,X3)
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> is_often_in(X1,X2,X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_waybel_9) ).
fof(t28_yellow_6,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( is_eventually_in(X1,X2,X3)
=> is_often_in(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_yellow_6) ).
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/sandbox2/benchmark/theBenchmark.p',dt_m1_connsp_2) ).
fof(existence_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_connsp_2) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k11_yellow_6) ).
fof(t29_waybel_9,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_cluster_point_of_netstr(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_waybel_9) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(antisymmetry_r2_hidden,axiom,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(rc4_finset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc4_finset_1) ).
fof(rc3_finset_1,axiom,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_finset_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(fc1_finsub_1,axiom,
! [X1] :
( ~ empty(powerset(X1))
& cup_closed(powerset(X1))
& diff_closed(powerset(X1))
& preboolean(powerset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_finsub_1) ).
fof(rc3_struct_0,axiom,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(rc2_xboole_0,axiom,
? [X1] : ~ empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(rc1_finset_1,axiom,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_finset_1) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( element(X1,powerset(X2))
<=> subset(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(cc2_finset_1,axiom,
! [X1] :
( finite(X1)
=> ! [X2] :
( element(X2,powerset(X1))
=> finite(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(t1_subset,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(dt_l1_waybel_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ! [X2] :
( net_str(X2,X1)
=> rel_str(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_waybel_0) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(existence_l1_waybel_0,axiom,
! [X1] :
( one_sorted_str(X1)
=> ? [X2] : net_str(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_waybel_0) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(cc2_finsub_1,axiom,
! [X1] :
( ( cup_closed(X1)
& diff_closed(X1) )
=> preboolean(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_finsub_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_boole) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : subset(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( rel_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(dt_l1_pre_topc,axiom,
! [X1] :
( top_str(X1)
=> one_sorted_str(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(cc1_funct_1,axiom,
! [X1] :
( empty(X1)
=> function(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_funct_1) ).
fof(cc1_finsub_1,axiom,
! [X1] :
( preboolean(X1)
=> ( cup_closed(X1)
& diff_closed(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finsub_1) ).
fof(cc1_finset_1,axiom,
! [X1] :
( empty(X1)
=> finite(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_finset_1) ).
fof(t6_boole,axiom,
! [X1] :
( empty(X1)
=> X1 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(existence_l1_struct_0,axiom,
? [X1] : one_sorted_str(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(existence_l1_orders_2,axiom,
? [X1] : rel_str(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_orders_2) ).
fof(existence_l1_pre_topc,axiom,
? [X1] : top_str(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_l1_pre_topc) ).
fof(rc1_xboole_0,axiom,
? [X1] : empty(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(fc1_xboole_0,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(i_0_40,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(i_0_41,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& net_str(X2,X1) )
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( is_a_cluster_point_of_netstr(X1,X2,X3)
<=> ! [X4] :
( point_neighbourhood(X4,X1,X3)
=> is_often_in(X1,X2,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d9_waybel_9]) ).
fof(i_0_42,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ! [X2] :
( ( ~ empty_carrier(X2)
& transitive_relstr(X2)
& directed_relstr(X2)
& net_str(X2,X1) )
=> ! [X3] :
( is_eventually_in(X1,X2,X3)
=> is_often_in(X1,X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[t28_yellow_6]) ).
fof(i_0_43,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(i_0_44,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& topological_space(X1)
& top_str(X1)
& element(X2,the_carrier(X1)) )
=> ? [X3] : point_neighbourhood(X3,X1,X2) ),
inference(fof_simplification,[status(thm)],[existence_m1_connsp_2]) ).
fof(i_0_45,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]) ).
fof(i_0_46,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_cluster_point_of_netstr(X1,X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t29_waybel_9])]) ).
fof(i_0_47,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ? [X2] :
( element(X2,powerset(the_carrier(X1)))
& ~ empty(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(i_0_48,plain,
! [X1,X2] :
( in(X1,X2)
=> ~ in(X2,X1) ),
inference(fof_simplification,[status(thm)],[antisymmetry_r2_hidden]) ).
fof(i_0_49,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
inference(fof_simplification,[status(thm)],[rc4_finset_1]) ).
fof(i_0_50,plain,
! [X1] :
( ~ empty(X1)
=> ? [X2] :
( element(X2,powerset(X1))
& ~ empty(X2)
& finite(X2) ) ),
inference(fof_simplification,[status(thm)],[rc3_finset_1]) ).
fof(i_0_51,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& one_sorted_str(X1) )
=> ~ empty(the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(i_0_52,plain,
! [X1] :
( ~ empty(powerset(X1))
& cup_closed(powerset(X1))
& diff_closed(powerset(X1))
& preboolean(powerset(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_finsub_1]) ).
fof(i_0_53,plain,
? [X1] :
( one_sorted_str(X1)
& ~ empty_carrier(X1) ),
inference(fof_simplification,[status(thm)],[rc3_struct_0]) ).
fof(i_0_54,plain,
? [X1] : ~ empty(X1),
inference(fof_simplification,[status(thm)],[rc2_xboole_0]) ).
fof(i_0_55,plain,
? [X1] :
( ~ empty(X1)
& finite(X1) ),
inference(fof_simplification,[status(thm)],[rc1_finset_1]) ).
fof(i_0_56,plain,
! [X87,X88,X89,X90,X91,X95] :
( ( ~ in(X90,X89)
| ~ point_neighbourhood(X91,X87,X90)
| is_eventually_in(X87,X88,X91)
| ~ element(X90,the_carrier(X87))
| X89 != lim_points_of_net(X87,X88)
| ~ element(X89,powerset(the_carrier(X87)))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ directed_relstr(X88)
| ~ net_str(X88,X87)
| empty_carrier(X87)
| ~ topological_space(X87)
| ~ top_str(X87) )
& ( point_neighbourhood(esk1_4(X87,X88,X89,X90),X87,X90)
| in(X90,X89)
| ~ element(X90,the_carrier(X87))
| X89 != lim_points_of_net(X87,X88)
| ~ element(X89,powerset(the_carrier(X87)))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ directed_relstr(X88)
| ~ net_str(X88,X87)
| empty_carrier(X87)
| ~ topological_space(X87)
| ~ top_str(X87) )
& ( ~ is_eventually_in(X87,X88,esk1_4(X87,X88,X89,X90))
| in(X90,X89)
| ~ element(X90,the_carrier(X87))
| X89 != lim_points_of_net(X87,X88)
| ~ element(X89,powerset(the_carrier(X87)))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ directed_relstr(X88)
| ~ net_str(X88,X87)
| empty_carrier(X87)
| ~ topological_space(X87)
| ~ top_str(X87) )
& ( element(esk2_3(X87,X88,X89),the_carrier(X87))
| X89 = lim_points_of_net(X87,X88)
| ~ element(X89,powerset(the_carrier(X87)))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ directed_relstr(X88)
| ~ net_str(X88,X87)
| empty_carrier(X87)
| ~ topological_space(X87)
| ~ top_str(X87) )
& ( point_neighbourhood(esk3_3(X87,X88,X89),X87,esk2_3(X87,X88,X89))
| ~ in(esk2_3(X87,X88,X89),X89)
| X89 = lim_points_of_net(X87,X88)
| ~ element(X89,powerset(the_carrier(X87)))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ directed_relstr(X88)
| ~ net_str(X88,X87)
| empty_carrier(X87)
| ~ topological_space(X87)
| ~ top_str(X87) )
& ( ~ is_eventually_in(X87,X88,esk3_3(X87,X88,X89))
| ~ in(esk2_3(X87,X88,X89),X89)
| X89 = lim_points_of_net(X87,X88)
| ~ element(X89,powerset(the_carrier(X87)))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ directed_relstr(X88)
| ~ net_str(X88,X87)
| empty_carrier(X87)
| ~ topological_space(X87)
| ~ top_str(X87) )
& ( in(esk2_3(X87,X88,X89),X89)
| ~ point_neighbourhood(X95,X87,esk2_3(X87,X88,X89))
| is_eventually_in(X87,X88,X95)
| X89 = lim_points_of_net(X87,X88)
| ~ element(X89,powerset(the_carrier(X87)))
| empty_carrier(X88)
| ~ transitive_relstr(X88)
| ~ directed_relstr(X88)
| ~ net_str(X88,X87)
| empty_carrier(X87)
| ~ topological_space(X87)
| ~ top_str(X87) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_40])])])])]) ).
fof(i_0_57,plain,
! [X96,X97,X98,X99] :
( ( ~ is_a_cluster_point_of_netstr(X96,X97,X98)
| ~ point_neighbourhood(X99,X96,X98)
| is_often_in(X96,X97,X99)
| ~ element(X98,the_carrier(X96))
| empty_carrier(X97)
| ~ net_str(X97,X96)
| empty_carrier(X96)
| ~ topological_space(X96)
| ~ top_str(X96) )
& ( point_neighbourhood(esk4_3(X96,X97,X98),X96,X98)
| is_a_cluster_point_of_netstr(X96,X97,X98)
| ~ element(X98,the_carrier(X96))
| empty_carrier(X97)
| ~ net_str(X97,X96)
| empty_carrier(X96)
| ~ topological_space(X96)
| ~ top_str(X96) )
& ( ~ is_often_in(X96,X97,esk4_3(X96,X97,X98))
| is_a_cluster_point_of_netstr(X96,X97,X98)
| ~ element(X98,the_carrier(X96))
| empty_carrier(X97)
| ~ net_str(X97,X96)
| empty_carrier(X96)
| ~ topological_space(X96)
| ~ top_str(X96) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_41])])])])]) ).
fof(i_0_58,plain,
! [X135,X136,X137] :
( empty_carrier(X135)
| ~ one_sorted_str(X135)
| empty_carrier(X136)
| ~ transitive_relstr(X136)
| ~ directed_relstr(X136)
| ~ net_str(X136,X135)
| ~ is_eventually_in(X135,X136,X137)
| is_often_in(X135,X136,X137) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_42])])]) ).
fof(i_0_59,plain,
! [X107,X108,X109] :
( empty_carrier(X107)
| ~ topological_space(X107)
| ~ top_str(X107)
| ~ element(X108,the_carrier(X107))
| ~ point_neighbourhood(X109,X107,X108)
| element(X109,powerset(the_carrier(X107))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_43])])]) ).
fof(i_0_60,plain,
! [X115,X116] :
( empty_carrier(X115)
| ~ topological_space(X115)
| ~ top_str(X115)
| ~ element(X116,the_carrier(X115))
| point_neighbourhood(esk9_2(X115,X116),X115,X116) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_44])])]) ).
fof(i_0_61,plain,
! [X101,X102] :
( empty_carrier(X101)
| ~ topological_space(X101)
| ~ top_str(X101)
| empty_carrier(X102)
| ~ transitive_relstr(X102)
| ~ directed_relstr(X102)
| ~ net_str(X102,X101)
| element(lim_points_of_net(X101,X102),powerset(the_carrier(X101))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_45])]) ).
fof(i_0_62,negated_conjecture,
( ~ empty_carrier(esk18_0)
& topological_space(esk18_0)
& top_str(esk18_0)
& ~ empty_carrier(esk19_0)
& transitive_relstr(esk19_0)
& directed_relstr(esk19_0)
& net_str(esk19_0,esk18_0)
& element(esk20_0,the_carrier(esk18_0))
& in(esk20_0,lim_points_of_net(esk18_0,esk19_0))
& ~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,esk20_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_46])])]) ).
fof(i_0_63,plain,
! [X145,X146,X147] :
( ~ in(X145,X146)
| ~ element(X146,powerset(X147))
| element(X145,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
fof(i_0_64,plain,
! [X148,X149,X150] :
( ~ in(X148,X149)
| ~ element(X149,powerset(X150))
| ~ empty(X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
fof(i_0_65,plain,
! [X130] :
( ( element(esk17_1(X130),powerset(the_carrier(X130)))
| empty_carrier(X130)
| ~ one_sorted_str(X130) )
& ( ~ empty(esk17_1(X130))
| empty_carrier(X130)
| ~ one_sorted_str(X130) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_47])])])]) ).
fof(i_0_66,plain,
! [X143,X144] :
( ( ~ element(X143,powerset(X144))
| subset(X143,X144) )
& ( ~ subset(X143,X144)
| element(X143,powerset(X144)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(i_0_67,plain,
! [X79,X80] :
( ~ in(X79,X80)
| ~ in(X80,X79) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_48])]) ).
fof(i_0_68,plain,
! [X84,X85] :
( ~ finite(X84)
| ~ element(X85,powerset(X84))
| finite(X85) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])]) ).
fof(i_0_69,plain,
! [X141,X142] :
( ~ element(X141,X142)
| empty(X142)
| in(X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(i_0_70,plain,
! [X133,X134] :
( ~ in(X133,X134)
| element(X133,X134) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
fof(i_0_71,plain,
! [X105,X106] :
( ~ one_sorted_str(X105)
| ~ net_str(X106,X105)
| rel_str(X106) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_waybel_0])])]) ).
fof(i_0_72,plain,
! [X128] :
( ( element(esk16_1(X128),powerset(X128))
| empty(X128) )
& ( ~ empty(esk16_1(X128))
| empty(X128) )
& ( finite(esk16_1(X128))
| empty(X128) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_49])])])]) ).
fof(i_0_73,plain,
! [X125] :
( ( element(esk14_1(X125),powerset(X125))
| empty(X125) )
& ( ~ empty(esk14_1(X125))
| empty(X125) )
& ( finite(esk14_1(X125))
| empty(X125) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_50])])])]) ).
fof(i_0_74,plain,
! [X152,X153] :
( ~ in(X152,X153)
| ~ empty(X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(i_0_75,plain,
! [X121] :
( empty_carrier(X121)
| ~ one_sorted_str(X121)
| ~ empty(the_carrier(X121)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_51])]) ).
fof(i_0_76,plain,
! [X113] :
( ~ one_sorted_str(X113)
| net_str(esk8_1(X113),X113) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[existence_l1_waybel_0])])]) ).
fof(i_0_77,plain,
! [X118] : element(esk10_1(X118),X118),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(i_0_78,plain,
! [X86] :
( ~ cup_closed(X86)
| ~ diff_closed(X86)
| preboolean(X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finsub_1])]) ).
fof(i_0_79,plain,
! [X120] :
( ~ empty(powerset(X120))
& cup_closed(powerset(X120))
& diff_closed(powerset(X120))
& preboolean(powerset(X120)) ),
inference(variable_rename,[status(thm)],[i_0_52]) ).
fof(i_0_80,plain,
! [X154,X155] :
( ~ empty(X154)
| X154 = X155
| ~ empty(X155) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(i_0_81,plain,
! [X132] : subset(X132,X132),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(i_0_82,plain,
! [X103] :
( ~ rel_str(X103)
| one_sorted_str(X103) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(i_0_83,plain,
! [X104] :
( ~ top_str(X104)
| one_sorted_str(X104) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_pre_topc])]) ).
fof(i_0_84,plain,
! [X83] :
( ~ empty(X83)
| function(X83) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_funct_1])]) ).
fof(i_0_85,plain,
! [X82] :
( ( cup_closed(X82)
| ~ preboolean(X82) )
& ( diff_closed(X82)
| ~ preboolean(X82) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finsub_1])])]) ).
fof(i_0_86,plain,
! [X81] :
( ~ empty(X81)
| finite(X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc1_finset_1])]) ).
fof(i_0_87,plain,
! [X151] :
( ~ empty(X151)
| X151 = empty_set ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).
fof(i_0_88,plain,
( one_sorted_str(esk15_0)
& ~ empty_carrier(esk15_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_53])]) ).
fof(i_0_89,plain,
~ empty(esk13_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_54])]) ).
fof(i_0_90,plain,
( ~ empty(esk11_0)
& finite(esk11_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[i_0_55])]) ).
fof(i_0_91,plain,
one_sorted_str(esk7_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_struct_0])]) ).
fof(i_0_92,plain,
rel_str(esk5_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_orders_2])]) ).
fof(i_0_93,plain,
top_str(esk6_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_l1_pre_topc])]) ).
fof(i_0_94,plain,
empty(esk12_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(i_0_95,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)],[i_0_56]),
[final] ).
cnf(i_0_96,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)],[i_0_56]),
[final] ).
cnf(i_0_97,plain,
( point_neighbourhood(esk3_3(X1,X2,X3),X1,esk2_3(X1,X2,X3))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ in(esk2_3(X1,X2,X3),X3)
| ~ 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)],[i_0_56]),
[final] ).
cnf(i_0_98,plain,
( X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_eventually_in(X1,X2,esk3_3(X1,X2,X3))
| ~ in(esk2_3(X1,X2,X3),X3)
| ~ 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)],[i_0_56]),
[final] ).
cnf(i_0_99,plain,
( in(esk2_3(X1,X2,X3),X3)
| is_eventually_in(X1,X2,X4)
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ point_neighbourhood(X4,X1,esk2_3(X1,X2,X3))
| ~ 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)],[i_0_56]),
[final] ).
cnf(i_0_100,plain,
( is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_often_in(X1,X2,esk4_3(X1,X2,X3))
| ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_101,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)],[i_0_56]),
[final] ).
cnf(i_0_102,plain,
( is_often_in(X1,X2,X4)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ is_a_cluster_point_of_netstr(X1,X2,X3)
| ~ point_neighbourhood(X4,X1,X3)
| ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_103,plain,
( point_neighbourhood(esk4_3(X1,X2,X3),X1,X3)
| is_a_cluster_point_of_netstr(X1,X2,X3)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ net_str(X2,X1)
| ~ topological_space(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_57]),
[final] ).
cnf(i_0_104,plain,
( element(esk2_3(X1,X2,X3),the_carrier(X1))
| X3 = lim_points_of_net(X1,X2)
| empty_carrier(X2)
| empty_carrier(X1)
| ~ 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)],[i_0_56]),
[final] ).
cnf(i_0_105,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| is_often_in(X1,X2,X3)
| ~ one_sorted_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[i_0_58]),
[final] ).
cnf(i_0_106,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)],[i_0_59]),
[final] ).
cnf(i_0_107,plain,
( empty_carrier(X1)
| point_neighbourhood(esk9_2(X1,X2),X1,X2)
| ~ topological_space(X1)
| ~ top_str(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_60]),
[final] ).
cnf(i_0_108,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)],[i_0_61]),
[final] ).
cnf(i_0_109,negated_conjecture,
~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,esk20_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_110,plain,
( element(X1,X3)
| ~ in(X1,X2)
| ~ element(X2,powerset(X3)) ),
inference(split_conjunct,[status(thm)],[i_0_63]),
[final] ).
cnf(i_0_111,plain,
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(split_conjunct,[status(thm)],[i_0_64]),
[final] ).
cnf(i_0_112,plain,
( element(esk17_1(X1),powerset(the_carrier(X1)))
| empty_carrier(X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_113,plain,
( subset(X1,X2)
| ~ element(X1,powerset(X2)) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_114,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_67]),
[final] ).
cnf(i_0_115,plain,
( finite(X2)
| ~ finite(X1)
| ~ element(X2,powerset(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_68]),
[final] ).
cnf(i_0_116,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_66]),
[final] ).
cnf(i_0_117,plain,
( empty(X2)
| in(X1,X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_69]),
[final] ).
cnf(i_0_118,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_70]),
[final] ).
cnf(i_0_119,plain,
( rel_str(X2)
| ~ one_sorted_str(X1)
| ~ net_str(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_71]),
[final] ).
cnf(i_0_120,negated_conjecture,
in(esk20_0,lim_points_of_net(esk18_0,esk19_0)),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_121,plain,
( element(esk16_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_122,plain,
( element(esk14_1(X1),powerset(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_123,plain,
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_74]),
[final] ).
cnf(i_0_124,plain,
( empty_carrier(X1)
| ~ empty(esk17_1(X1))
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_65]),
[final] ).
cnf(i_0_125,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_75]),
[final] ).
cnf(i_0_126,plain,
( net_str(esk8_1(X1),X1)
| ~ one_sorted_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_76]),
[final] ).
cnf(i_0_127,plain,
( empty(X1)
| ~ empty(esk16_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_128,plain,
( empty(X1)
| ~ empty(esk14_1(X1)) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_129,plain,
element(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[i_0_77]),
[final] ).
cnf(i_0_130,plain,
( preboolean(X1)
| ~ cup_closed(X1)
| ~ diff_closed(X1) ),
inference(split_conjunct,[status(thm)],[i_0_78]),
[final] ).
cnf(i_0_131,plain,
~ empty(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_132,plain,
( X1 = X2
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[i_0_80]),
[final] ).
cnf(i_0_133,negated_conjecture,
element(esk20_0,the_carrier(esk18_0)),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_134,plain,
( finite(esk16_1(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_72]),
[final] ).
cnf(i_0_135,plain,
( finite(esk14_1(X1))
| empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_73]),
[final] ).
cnf(i_0_136,plain,
subset(X1,X1),
inference(split_conjunct,[status(thm)],[i_0_81]),
[final] ).
cnf(i_0_137,plain,
( one_sorted_str(X1)
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_82]),
[final] ).
cnf(i_0_138,plain,
( one_sorted_str(X1)
| ~ top_str(X1) ),
inference(split_conjunct,[status(thm)],[i_0_83]),
[final] ).
cnf(i_0_139,plain,
( function(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_84]),
[final] ).
cnf(i_0_140,plain,
( diff_closed(X1)
| ~ preboolean(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_141,plain,
( cup_closed(X1)
| ~ preboolean(X1) ),
inference(split_conjunct,[status(thm)],[i_0_85]),
[final] ).
cnf(i_0_142,plain,
( finite(X1)
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_86]),
[final] ).
cnf(i_0_143,negated_conjecture,
net_str(esk19_0,esk18_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_144,plain,
diff_closed(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_145,plain,
cup_closed(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_146,plain,
preboolean(powerset(X1)),
inference(split_conjunct,[status(thm)],[i_0_79]),
[final] ).
cnf(i_0_147,plain,
( X1 = empty_set
| ~ empty(X1) ),
inference(split_conjunct,[status(thm)],[i_0_87]),
[final] ).
cnf(i_0_148,negated_conjecture,
~ empty_carrier(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_149,negated_conjecture,
~ empty_carrier(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_150,plain,
~ empty_carrier(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_151,plain,
~ empty(esk13_0),
inference(split_conjunct,[status(thm)],[i_0_89]),
[final] ).
cnf(i_0_152,plain,
~ empty(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_153,plain,
one_sorted_str(esk15_0),
inference(split_conjunct,[status(thm)],[i_0_88]),
[final] ).
cnf(i_0_154,plain,
one_sorted_str(esk7_0),
inference(split_conjunct,[status(thm)],[i_0_91]),
[final] ).
cnf(i_0_155,plain,
rel_str(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_92]),
[final] ).
cnf(i_0_156,negated_conjecture,
directed_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_157,negated_conjecture,
transitive_relstr(esk19_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_158,negated_conjecture,
top_str(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_159,plain,
top_str(esk6_0),
inference(split_conjunct,[status(thm)],[i_0_93]),
[final] ).
cnf(i_0_160,negated_conjecture,
topological_space(esk18_0),
inference(split_conjunct,[status(thm)],[i_0_62]),
[final] ).
cnf(i_0_161,plain,
finite(esk11_0),
inference(split_conjunct,[status(thm)],[i_0_90]),
[final] ).
cnf(i_0_162,plain,
empty(esk12_0),
inference(split_conjunct,[status(thm)],[i_0_94]),
[final] ).
cnf(i_0_163,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]),
[final] ).
cnf(i_0_164,axiom,
X1 = X1 ).
cnf(i_0_165,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_166,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_167,axiom,
( X1 != X2
| lim_points_of_net(X1,X3) = lim_points_of_net(X2,X3) ) ).
cnf(i_0_168,axiom,
( X1 != X2
| lim_points_of_net(X3,X1) = lim_points_of_net(X3,X2) ) ).
cnf(i_0_169,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_170,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_171,axiom,
( X1 != X2
| ~ point_neighbourhood(X1,X3,X4)
| point_neighbourhood(X2,X3,X4) ) ).
cnf(i_0_172,axiom,
( X1 != X2
| ~ point_neighbourhood(X3,X1,X4)
| point_neighbourhood(X3,X2,X4) ) ).
cnf(i_0_173,axiom,
( X1 != X2
| ~ point_neighbourhood(X3,X4,X1)
| point_neighbourhood(X3,X4,X2) ) ).
cnf(i_0_174,axiom,
( X1 != X2
| ~ is_a_cluster_point_of_netstr(X1,X3,X4)
| is_a_cluster_point_of_netstr(X2,X3,X4) ) ).
cnf(i_0_175,axiom,
( X1 != X2
| ~ is_a_cluster_point_of_netstr(X3,X1,X4)
| is_a_cluster_point_of_netstr(X3,X2,X4) ) ).
cnf(i_0_176,axiom,
( X1 != X2
| ~ is_a_cluster_point_of_netstr(X3,X4,X1)
| is_a_cluster_point_of_netstr(X3,X4,X2) ) ).
cnf(i_0_177,axiom,
( X1 != X2
| ~ is_often_in(X1,X3,X4)
| is_often_in(X2,X3,X4) ) ).
cnf(i_0_178,axiom,
( X1 != X2
| ~ is_often_in(X3,X1,X4)
| is_often_in(X3,X2,X4) ) ).
cnf(i_0_179,axiom,
( X1 != X2
| ~ is_often_in(X3,X4,X1)
| is_often_in(X3,X4,X2) ) ).
cnf(i_0_180,axiom,
( X1 != X2
| ~ one_sorted_str(X1)
| one_sorted_str(X2) ) ).
cnf(i_0_181,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_182,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_183,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_184,axiom,
( X1 != X2
| ~ finite(X1)
| finite(X2) ) ).
cnf(i_0_185,axiom,
( X1 != X2
| ~ rel_str(X1)
| rel_str(X2) ) ).
cnf(i_0_186,axiom,
( X1 != X2
| ~ preboolean(X1)
| preboolean(X2) ) ).
cnf(i_0_187,axiom,
( X1 != X2
| ~ cup_closed(X1)
| cup_closed(X2) ) ).
cnf(i_0_188,axiom,
( X1 != X2
| ~ empty_carrier(X1)
| empty_carrier(X2) ) ).
cnf(i_0_189,axiom,
( X1 != X2
| ~ diff_closed(X1)
| diff_closed(X2) ) ).
cnf(i_0_190,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_191,axiom,
( X1 != X2
| ~ is_eventually_in(X1,X3,X4)
| is_eventually_in(X2,X3,X4) ) ).
cnf(i_0_192,axiom,
( X1 != X2
| ~ is_eventually_in(X3,X1,X4)
| is_eventually_in(X3,X2,X4) ) ).
cnf(i_0_193,axiom,
( X1 != X2
| ~ is_eventually_in(X3,X4,X1)
| is_eventually_in(X3,X4,X2) ) ).
cnf(i_0_194,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_195,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_196,axiom,
( X1 != X2
| ~ transitive_relstr(X1)
| transitive_relstr(X2) ) ).
cnf(i_0_197,axiom,
( X1 != X2
| ~ directed_relstr(X1)
| directed_relstr(X2) ) ).
cnf(i_0_198,axiom,
( X1 != X2
| ~ net_str(X1,X3)
| net_str(X2,X3) ) ).
cnf(i_0_199,axiom,
( X1 != X2
| ~ net_str(X3,X1)
| net_str(X3,X2) ) ).
cnf(i_0_200,axiom,
( X1 != X2
| ~ topological_space(X1)
| topological_space(X2) ) ).
cnf(i_0_201,axiom,
( X1 != X2
| ~ top_str(X1)
| top_str(X2) ) ).
cnf(i_0_164_001,axiom,
X1 = X1 ).
cnf(i_0_165_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_166_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_167_004,axiom,
( X1 != X2
| lim_points_of_net(X1,X3) = lim_points_of_net(X2,X3) ) ).
cnf(i_0_168_005,axiom,
( X1 != X2
| lim_points_of_net(X3,X1) = lim_points_of_net(X3,X2) ) ).
cnf(i_0_169_006,axiom,
( X1 != X2
| ~ in(X1,X3)
| in(X2,X3) ) ).
cnf(i_0_170_007,axiom,
( X1 != X2
| ~ in(X3,X1)
| in(X3,X2) ) ).
cnf(i_0_171_008,axiom,
( X1 != X2
| ~ point_neighbourhood(X1,X3,X4)
| point_neighbourhood(X2,X3,X4) ) ).
cnf(i_0_172_009,axiom,
( X1 != X2
| ~ point_neighbourhood(X3,X1,X4)
| point_neighbourhood(X3,X2,X4) ) ).
cnf(i_0_173_010,axiom,
( X1 != X2
| ~ point_neighbourhood(X3,X4,X1)
| point_neighbourhood(X3,X4,X2) ) ).
cnf(i_0_174_011,axiom,
( X1 != X2
| ~ is_a_cluster_point_of_netstr(X1,X3,X4)
| is_a_cluster_point_of_netstr(X2,X3,X4) ) ).
cnf(i_0_175_012,axiom,
( X1 != X2
| ~ is_a_cluster_point_of_netstr(X3,X1,X4)
| is_a_cluster_point_of_netstr(X3,X2,X4) ) ).
cnf(i_0_176_013,axiom,
( X1 != X2
| ~ is_a_cluster_point_of_netstr(X3,X4,X1)
| is_a_cluster_point_of_netstr(X3,X4,X2) ) ).
cnf(i_0_177_014,axiom,
( X1 != X2
| ~ is_often_in(X1,X3,X4)
| is_often_in(X2,X3,X4) ) ).
cnf(i_0_178_015,axiom,
( X1 != X2
| ~ is_often_in(X3,X1,X4)
| is_often_in(X3,X2,X4) ) ).
cnf(i_0_179_016,axiom,
( X1 != X2
| ~ is_often_in(X3,X4,X1)
| is_often_in(X3,X4,X2) ) ).
cnf(i_0_180_017,axiom,
( X1 != X2
| ~ one_sorted_str(X1)
| one_sorted_str(X2) ) ).
cnf(i_0_181_018,axiom,
( X1 != X2
| ~ empty(X1)
| empty(X2) ) ).
cnf(i_0_182_019,axiom,
( X1 != X2
| ~ subset(X1,X3)
| subset(X2,X3) ) ).
cnf(i_0_183_020,axiom,
( X1 != X2
| ~ subset(X3,X1)
| subset(X3,X2) ) ).
cnf(i_0_184_021,axiom,
( X1 != X2
| ~ finite(X1)
| finite(X2) ) ).
cnf(i_0_185_022,axiom,
( X1 != X2
| ~ rel_str(X1)
| rel_str(X2) ) ).
cnf(i_0_186_023,axiom,
( X1 != X2
| ~ preboolean(X1)
| preboolean(X2) ) ).
cnf(i_0_187_024,axiom,
( X1 != X2
| ~ cup_closed(X1)
| cup_closed(X2) ) ).
cnf(i_0_188_025,axiom,
( X1 != X2
| ~ empty_carrier(X1)
| empty_carrier(X2) ) ).
cnf(i_0_189_026,axiom,
( X1 != X2
| ~ diff_closed(X1)
| diff_closed(X2) ) ).
cnf(i_0_190_027,axiom,
( X1 != X2
| ~ function(X1)
| function(X2) ) ).
cnf(i_0_191_028,axiom,
( X1 != X2
| ~ is_eventually_in(X1,X3,X4)
| is_eventually_in(X2,X3,X4) ) ).
cnf(i_0_192_029,axiom,
( X1 != X2
| ~ is_eventually_in(X3,X1,X4)
| is_eventually_in(X3,X2,X4) ) ).
cnf(i_0_193_030,axiom,
( X1 != X2
| ~ is_eventually_in(X3,X4,X1)
| is_eventually_in(X3,X4,X2) ) ).
cnf(i_0_194_031,axiom,
( X1 != X2
| ~ element(X1,X3)
| element(X2,X3) ) ).
cnf(i_0_195_032,axiom,
( X1 != X2
| ~ element(X3,X1)
| element(X3,X2) ) ).
cnf(i_0_196_033,axiom,
( X1 != X2
| ~ transitive_relstr(X1)
| transitive_relstr(X2) ) ).
cnf(i_0_197_034,axiom,
( X1 != X2
| ~ directed_relstr(X1)
| directed_relstr(X2) ) ).
cnf(i_0_198_035,axiom,
( X1 != X2
| ~ net_str(X1,X3)
| net_str(X2,X3) ) ).
cnf(i_0_199_036,axiom,
( X1 != X2
| ~ net_str(X3,X1)
| net_str(X3,X2) ) ).
cnf(i_0_200_037,axiom,
( X1 != X2
| ~ topological_space(X1)
| topological_space(X2) ) ).
cnf(i_0_201_038,axiom,
( X1 != X2
| ~ top_str(X1)
| top_str(X2) ) ).
cnf(i_0_202,plain,
( ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ topological_space(X2)
| ~ top_str(X2)
| in(X3,lim_points_of_net(X2,X1))
| empty_carrier(X1)
| empty_carrier(X2)
| ~ is_eventually_in(X2,X1,esk1_4(X2,X1,lim_points_of_net(X2,X1),X3))
| ~ element(X3,the_carrier(X2))
| ~ element(lim_points_of_net(X2,X1),powerset(the_carrier(X2))) ),
inference(equality_inference,[],[95]) ).
cnf(i_0_203,plain,
( in(X1,lim_points_of_net(X2,X3))
| empty_carrier(X3)
| empty_carrier(X2)
| ~ transitive_relstr(X3)
| ~ directed_relstr(X3)
| ~ net_str(X3,X2)
| ~ topological_space(X2)
| ~ top_str(X2)
| point_neighbourhood(esk1_4(X2,X3,lim_points_of_net(X2,X3),X1),X2,X1)
| ~ element(X1,the_carrier(X2))
| ~ element(lim_points_of_net(X2,X3),powerset(the_carrier(X2))) ),
inference(equality_inference,[],[96]) ).
cnf(i_0_204,plain,
( empty_carrier(X1)
| empty_carrier(X2)
| ~ point_neighbourhood(X3,X2,X4)
| ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ topological_space(X2)
| ~ top_str(X2)
| is_eventually_in(X2,X1,X3)
| ~ in(X4,lim_points_of_net(X2,X1))
| ~ element(X4,the_carrier(X2))
| ~ element(lim_points_of_net(X2,X1),powerset(the_carrier(X2))) ),
inference(equality_inference,[],[101]) ).
cnf(i_0_205,plain,
~ in(lim_points_of_net(esk18_0,esk19_0),esk20_0),
inference(scs_inference,[],[i_0_120,i_0_114]) ).
cnf(i_0_206,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_207,plain,
element(esk20_0,lim_points_of_net(esk18_0,esk19_0)),
inference(scs_inference,[],[i_0_120,i_0_114,i_0_118]) ).
cnf(i_0_208,plain,
( ~ in(X1,X2)
| element(X1,X2) ),
inference(rename_variables,[],[i_0_118]) ).
cnf(i_0_209,plain,
~ in(X1,esk12_0),
inference(scs_inference,[],[i_0_120,i_0_162,i_0_114,i_0_118,i_0_123]) ).
cnf(i_0_210,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_211,plain,
one_sorted_str(esk18_0),
inference(scs_inference,[],[i_0_158,i_0_120,i_0_162,i_0_114,i_0_118,i_0_123,i_0_138]) ).
cnf(i_0_212,plain,
( ~ top_str(X1)
| one_sorted_str(X1) ),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_213,plain,
subset(esk10_1(powerset(X1)),X1),
inference(scs_inference,[],[i_0_158,i_0_120,i_0_129,i_0_162,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113]) ).
cnf(i_0_214,plain,
element(esk10_1(X1),X1),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_215,plain,
( ~ element(X1,powerset(X2))
| subset(X1,X2) ),
inference(rename_variables,[],[i_0_113]) ).
cnf(i_0_216,plain,
function(esk12_0),
inference(scs_inference,[],[i_0_158,i_0_120,i_0_129,i_0_162,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139]) ).
cnf(i_0_217,plain,
( ~ empty(X1)
| function(X1) ),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_218,plain,
finite(esk12_0),
inference(scs_inference,[],[i_0_158,i_0_120,i_0_129,i_0_162,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142]) ).
cnf(i_0_219,plain,
( ~ empty(X1)
| finite(X1) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_220,plain,
one_sorted_str(esk5_0),
inference(scs_inference,[],[i_0_158,i_0_120,i_0_129,i_0_162,i_0_155,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137]) ).
cnf(i_0_221,plain,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_222,plain,
~ in(X1,esk10_1(powerset(esk12_0))),
inference(scs_inference,[],[i_0_158,i_0_120,i_0_129,i_0_214,i_0_162,i_0_155,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111]) ).
cnf(i_0_223,plain,
element(esk10_1(X1),X1),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_224,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_225,plain,
in(esk10_1(esk13_0),esk13_0),
inference(scs_inference,[],[i_0_158,i_0_120,i_0_129,i_0_214,i_0_223,i_0_151,i_0_162,i_0_155,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117]) ).
cnf(i_0_226,plain,
element(esk10_1(X1),X1),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_227,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_228,plain,
rel_str(esk19_0),
inference(scs_inference,[],[i_0_143,i_0_158,i_0_120,i_0_129,i_0_214,i_0_223,i_0_151,i_0_162,i_0_155,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119]) ).
cnf(i_0_229,plain,
( ~ net_str(X1,X2)
| rel_str(X1)
| ~ one_sorted_str(X2) ),
inference(rename_variables,[],[i_0_119]) ).
cnf(i_0_230,plain,
lim_points_of_net(esk18_0,esk19_0) != esk12_0,
inference(scs_inference,[],[i_0_143,i_0_158,i_0_120,i_0_129,i_0_214,i_0_223,i_0_151,i_0_162,i_0_155,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170]) ).
cnf(i_0_231,plain,
finite(esk10_1(powerset(esk11_0))),
inference(scs_inference,[],[i_0_143,i_0_158,i_0_120,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115]) ).
cnf(i_0_232,plain,
element(esk10_1(X1),X1),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_233,plain,
( ~ element(X1,powerset(X2))
| finite(X1)
| ~ finite(X2) ),
inference(rename_variables,[],[i_0_115]) ).
cnf(i_0_234,plain,
esk12_0 != esk13_0,
inference(scs_inference,[],[i_0_143,i_0_158,i_0_120,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181]) ).
cnf(i_0_235,plain,
point_neighbourhood(esk9_2(esk18_0,esk20_0),esk18_0,esk20_0),
inference(scs_inference,[],[i_0_143,i_0_149,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107]) ).
cnf(i_0_236,plain,
( ~ element(X1,the_carrier(X2))
| point_neighbourhood(esk9_2(X2,X1),X2,X1)
| ~ topological_space(X2)
| ~ top_str(X2)
| empty_carrier(X2) ),
inference(rename_variables,[],[i_0_107]) ).
cnf(i_0_237,plain,
~ is_often_in(esk18_0,esk19_0,esk4_3(esk18_0,esk19_0,esk20_0)),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100]) ).
cnf(i_0_238,plain,
( ~ element(X1,the_carrier(X2))
| ~ is_often_in(X2,X3,esk4_3(X2,X3,X1))
| empty_carrier(X3)
| empty_carrier(X2)
| ~ net_str(X3,X2)
| ~ topological_space(X2)
| ~ top_str(X2)
| is_a_cluster_point_of_netstr(X2,X3,X1) ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_239,plain,
point_neighbourhood(esk4_3(esk18_0,esk19_0,esk20_0),esk18_0,esk20_0),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103]) ).
cnf(i_0_240,plain,
( ~ element(X1,the_carrier(X2))
| point_neighbourhood(esk4_3(X2,X3,X1),X2,X1)
| is_a_cluster_point_of_netstr(X2,X3,X1)
| empty_carrier(X3)
| empty_carrier(X2)
| ~ net_str(X3,X2)
| ~ topological_space(X2)
| ~ top_str(X2) ),
inference(rename_variables,[],[i_0_103]) ).
cnf(i_0_241,plain,
~ is_eventually_in(esk18_0,esk19_0,esk4_3(esk18_0,esk19_0,esk20_0)),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105]) ).
cnf(i_0_242,plain,
( ~ one_sorted_str(X1)
| ~ transitive_relstr(X2)
| ~ directed_relstr(X2)
| ~ net_str(X2,X1)
| ~ is_eventually_in(X1,X2,X3)
| empty_carrier(X1)
| is_often_in(X1,X2,X3)
| empty_carrier(X2) ),
inference(rename_variables,[],[i_0_105]) ).
cnf(i_0_243,plain,
~ element(lim_points_of_net(esk18_0,esk19_0),powerset(the_carrier(esk18_0))),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204]) ).
cnf(i_0_244,plain,
( ~ transitive_relstr(X1)
| ~ directed_relstr(X1)
| ~ net_str(X1,X2)
| ~ topological_space(X2)
| ~ top_str(X2)
| is_eventually_in(X2,X1,X3)
| ~ in(X4,lim_points_of_net(X2,X1))
| ~ element(X4,the_carrier(X2))
| ~ element(lim_points_of_net(X2,X1),powerset(the_carrier(X2)))
| empty_carrier(X1)
| ~ point_neighbourhood(X3,X2,X4)
| empty_carrier(X2) ),
inference(rename_variables,[],[i_0_204]) ).
cnf(i_0_245,plain,
~ subset(lim_points_of_net(esk18_0,esk19_0),the_carrier(esk18_0)),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116]) ).
cnf(i_0_246,plain,
( element(X1,powerset(X2))
| ~ subset(X1,X2) ),
inference(rename_variables,[],[i_0_116]) ).
cnf(i_0_247,plain,
( X1 != lim_points_of_net(esk18_0,esk19_0)
| ~ in(X1,esk20_0) ),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169]) ).
cnf(i_0_248,plain,
the_carrier(esk18_0) != lim_points_of_net(esk18_0,esk19_0),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182]) ).
cnf(i_0_249,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_250,plain,
lim_points_of_net(esk18_0,esk19_0) != the_carrier(esk18_0),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_249,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182,i_0_183]) ).
cnf(i_0_251,plain,
subset(X1,X1),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_252,plain,
~ point_neighbourhood(lim_points_of_net(esk18_0,esk19_0),esk18_0,esk20_0),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_249,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182,i_0_183,i_0_106]) ).
cnf(i_0_253,plain,
( element(X1,powerset(the_carrier(X2)))
| ~ element(X3,the_carrier(X2))
| ~ topological_space(X2)
| ~ top_str(X2)
| ~ point_neighbourhood(X1,X2,X3)
| empty_carrier(X2) ),
inference(rename_variables,[],[i_0_106]) ).
cnf(i_0_254,plain,
( X1 != esk18_0
| ~ is_a_cluster_point_of_netstr(X1,esk19_0,esk20_0) ),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_249,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182,i_0_183,i_0_106,i_0_108,i_0_174]) ).
cnf(i_0_255,plain,
( X1 != esk19_0
| ~ is_a_cluster_point_of_netstr(esk18_0,X1,esk20_0) ),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_249,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182,i_0_183,i_0_106,i_0_108,i_0_174,i_0_175]) ).
cnf(i_0_256,plain,
( X1 != esk20_0
| ~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,X1) ),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_249,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182,i_0_183,i_0_106,i_0_108,i_0_174,i_0_175,i_0_176]) ).
cnf(i_0_257,plain,
( X1 != powerset(the_carrier(esk18_0))
| ~ element(lim_points_of_net(esk18_0,esk19_0),X1) ),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_249,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182,i_0_183,i_0_106,i_0_108,i_0_174,i_0_175,i_0_176,i_0_195]) ).
cnf(i_0_258,plain,
( transitive_relstr(X1)
| esk19_0 != X1 ),
inference(scs_inference,[],[i_0_109,i_0_143,i_0_148,i_0_149,i_0_156,i_0_157,i_0_158,i_0_160,i_0_120,i_0_133,i_0_129,i_0_214,i_0_223,i_0_226,i_0_151,i_0_162,i_0_136,i_0_249,i_0_155,i_0_161,i_0_114,i_0_118,i_0_123,i_0_138,i_0_113,i_0_139,i_0_142,i_0_137,i_0_111,i_0_117,i_0_119,i_0_170,i_0_115,i_0_181,i_0_107,i_0_100,i_0_103,i_0_105,i_0_204,i_0_116,i_0_169,i_0_182,i_0_183,i_0_106,i_0_108,i_0_174,i_0_175,i_0_176,i_0_195,i_0_196]) ).
cnf(i_0_259,plain,
~ in(lim_points_of_net(esk18_0,esk19_0),esk20_0),
inference(equality_inference,[],[247]) ).
cnf(i_0_260,plain,
~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,esk20_0),
inference(equality_inference,[],[254]) ).
cnf(i_0_261,plain,
~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,esk20_0),
inference(equality_inference,[],[255]) ).
cnf(i_0_262,plain,
~ is_a_cluster_point_of_netstr(esk18_0,esk19_0,esk20_0),
inference(equality_inference,[],[256]) ).
cnf(i_0_263,plain,
~ element(lim_points_of_net(esk18_0,esk19_0),powerset(the_carrier(esk18_0))),
inference(equality_inference,[],[257]) ).
cnf(i_0_264,plain,
transitive_relstr(esk19_0),
inference(equality_inference,[],[258]) ).
cnf(i_0_265,plain,
~ in(esk13_0,esk10_1(esk13_0)),
inference(scs_inference,[],[i_0_225,i_0_114]) ).
cnf(i_0_266,plain,
( ~ in(X1,X2)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_114]) ).
cnf(i_0_267,plain,
~ in(X1,empty_set),
inference(scs_inference,[],[i_0_225,i_0_163,i_0_114,i_0_123]) ).
cnf(i_0_268,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(rename_variables,[],[i_0_123]) ).
cnf(i_0_269,plain,
one_sorted_str(esk6_0),
inference(scs_inference,[],[i_0_225,i_0_159,i_0_163,i_0_114,i_0_123,i_0_138]) ).
cnf(i_0_270,plain,
( ~ top_str(X1)
| one_sorted_str(X1) ),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_271,plain,
function(empty_set),
inference(scs_inference,[],[i_0_225,i_0_159,i_0_163,i_0_114,i_0_123,i_0_138,i_0_139]) ).
cnf(i_0_272,plain,
( ~ empty(X1)
| function(X1) ),
inference(rename_variables,[],[i_0_139]) ).
cnf(i_0_273,plain,
finite(empty_set),
inference(scs_inference,[],[i_0_225,i_0_159,i_0_163,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142]) ).
cnf(i_0_274,plain,
( ~ empty(X1)
| finite(X1) ),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_275,plain,
one_sorted_str(esk19_0),
inference(scs_inference,[],[i_0_225,i_0_228,i_0_159,i_0_163,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142,i_0_137]) ).
cnf(i_0_276,plain,
( ~ rel_str(X1)
| one_sorted_str(X1) ),
inference(rename_variables,[],[i_0_137]) ).
cnf(i_0_277,plain,
esk4_3(esk18_0,esk19_0,esk20_0) != lim_points_of_net(esk18_0,esk19_0),
inference(scs_inference,[],[i_0_252,i_0_239,i_0_225,i_0_228,i_0_159,i_0_163,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142,i_0_137,i_0_171]) ).
cnf(i_0_278,plain,
~ in(X1,esk10_1(powerset(empty_set))),
inference(scs_inference,[],[i_0_252,i_0_239,i_0_225,i_0_228,i_0_159,i_0_163,i_0_129,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142,i_0_137,i_0_171,i_0_111]) ).
cnf(i_0_279,plain,
element(esk10_1(X1),X1),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_280,plain,
( ~ element(X1,powerset(X2))
| ~ empty(X2)
| ~ in(X3,X1) ),
inference(rename_variables,[],[i_0_111]) ).
cnf(i_0_281,plain,
in(esk10_1(esk11_0),esk11_0),
inference(scs_inference,[],[i_0_252,i_0_239,i_0_225,i_0_228,i_0_152,i_0_159,i_0_163,i_0_129,i_0_279,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142,i_0_137,i_0_171,i_0_111,i_0_117]) ).
cnf(i_0_282,plain,
element(esk10_1(X1),X1),
inference(rename_variables,[],[i_0_129]) ).
cnf(i_0_283,plain,
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(rename_variables,[],[i_0_117]) ).
cnf(i_0_284,plain,
lim_points_of_net(esk18_0,esk19_0) != esk10_1(powerset(esk12_0)),
inference(scs_inference,[],[i_0_120,i_0_222,i_0_252,i_0_239,i_0_225,i_0_228,i_0_152,i_0_159,i_0_163,i_0_129,i_0_279,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142,i_0_137,i_0_171,i_0_111,i_0_117,i_0_170]) ).
cnf(i_0_285,plain,
~ in(X1,esk10_1(powerset(esk12_0))),
inference(rename_variables,[],[i_0_222]) ).
cnf(i_0_286,plain,
empty_set != esk11_0,
inference(scs_inference,[],[i_0_120,i_0_222,i_0_252,i_0_239,i_0_225,i_0_228,i_0_152,i_0_159,i_0_163,i_0_129,i_0_279,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142,i_0_137,i_0_171,i_0_111,i_0_117,i_0_170,i_0_181]) ).
cnf(i_0_287,plain,
$false,
inference(scs_inference,[],[i_0_156,i_0_157,i_0_120,i_0_148,i_0_143,i_0_160,i_0_149,i_0_158,i_0_222,i_0_243,i_0_252,i_0_239,i_0_225,i_0_228,i_0_152,i_0_159,i_0_163,i_0_129,i_0_279,i_0_114,i_0_123,i_0_138,i_0_139,i_0_142,i_0_137,i_0_171,i_0_111,i_0_117,i_0_170,i_0_181,i_0_108]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SEU386+1 : TPTP v9.2.1. Released v3.3.0.
% 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.06/0.24 % Computer : n024.cluster.edu
% 0.06/0.24 % Model : x86_64 x86_64
% 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.24 % Memory : 8042.1875MB
% 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.24 % CPULimit : 300
% 0.06/0.24 % WCLimit : 300
% 0.06/0.24 % DateTime : Mon May 4 22:01:27 EDT 2026
% 0.06/0.24 % CPUTime :
% 0.06/0.25 % start to proof: theBenchmark
% 0.16/1.51 % Version : CSE_E---1.7
% 0.16/1.51 % Problem : theBenchmark.p
% 0.16/1.51 % SZS status Theorem for theBenchmark.p
% 0.16/1.51 % SZS output start CNFRefutation
% See solution above
% 0.35/1.76 % Total time : 1.261s
%------------------------------------------------------------------------------