TSTP Solution File: SEU323-10 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : SEU323-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n186.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32218.5MB
% OS       : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 14:40:38 EST 2019

% Result   : Unsatisfiable 1.58s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SEU323-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05  % Command  : tptp2X_and_run_cime %s
% 0.03/0.27  % Computer : n186.star.cs.uiowa.edu
% 0.03/0.27  % Model    : x86_64 x86_64
% 0.03/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.27  % Memory   : 32218.5MB
% 0.03/0.27  % OS       : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.27  % CPULimit : 300
% 0.03/0.27  % DateTime : Sun Feb 24 19:45:10 CST 2019
% 0.03/0.27  % CPUTime  : 
% 1.13/1.41  Processing problem /tmp/CiME_59393_n186.star.cs.uiowa.edu
% 1.13/1.41  #verbose 1;
% 1.13/1.41                let F = signature " sK1_t51_tops_1_B,sK2_t51_tops_1_A,sK5_existence_l1_pre_topc_A,sK6_existence_l1_struct_0_A,true : constant;  sK3_rc1_tops_1_B : 1;  interior : 2;  sK4_existence_m1_subset_1_B : 1;  topstr_closure : 2;  one_sorted_str : 1;  subset : 2;  sK7_rc6_pre_topc_B : 1;  open_subset : 2;  subset_complement : 2;  top_str : 1;  topological_space : 1;  closed_subset : 2;  element : 2;  powerset : 1;  the_carrier : 1;  ifeq : 4;  ifeq2 : 4;";
% 1.13/1.41  let X = vars "A B C";
% 1.13/1.41  let Axioms = equations F X "
% 1.13/1.41   ifeq2(A,A,B,C) = B;
% 1.13/1.41   ifeq(A,A,B,C) = B;
% 1.13/1.41   ifeq(element(B,powerset(the_carrier(A))),true,ifeq(closed_subset(B,A),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(subset_complement(the_carrier(A),B),A),true),true),true),true) = true;
% 1.13/1.41   ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK7_rc6_pre_topc_B(A),powerset(the_carrier(A))),true),true) = true;
% 1.13/1.41   ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK7_rc6_pre_topc_B(A),A),true),true) = true;
% 1.13/1.41   ifeq2(element(B,powerset(A)),true,subset_complement(A,subset_complement(A,B)),B) = B;
% 1.13/1.41   subset(A,A) = true;
% 1.13/1.41   one_sorted_str(sK6_existence_l1_struct_0_A) = true;
% 1.13/1.41   ifeq(element(B,powerset(A)),true,element(subset_complement(A,B),powerset(A)),true) = true;
% 1.13/1.41   ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(topstr_closure(A,B),powerset(the_carrier(A))),true),true) = true;
% 1.13/1.41   ifeq(element(B,powerset(the_carrier(A))),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,B),A),true),true),true) = true;
% 1.13/1.41   ifeq(open_subset(B,A),true,ifeq(element(B,powerset(the_carrier(A))),true,ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(subset_complement(the_carrier(A),B),A),true),true),true),true) = true;
% 1.13/1.41   top_str(sK5_existence_l1_pre_topc_A) = true;
% 1.13/1.41   element(sK4_existence_m1_subset_1_B(A),A) = true;
% 1.13/1.41   ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(interior(A,B),powerset(the_carrier(A))),true),true) = true;
% 1.13/1.41   ifeq(top_str(A),true,one_sorted_str(A),true) = true;
% 1.13/1.41   ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(sK3_rc1_tops_1_B(A),A),true),true) = true;
% 1.13/1.41   ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK3_rc1_tops_1_B(A),powerset(the_carrier(A))),true),true) = true;
% 1.13/1.41   ifeq(subset(A,B),true,element(A,powerset(B)),true) = true;
% 1.13/1.41   ifeq(element(A,powerset(B)),true,subset(A,B),true) = true;
% 1.13/1.41   ifeq2(element(B,powerset(the_carrier(A))),true,ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))),interior(A,B)),interior(A,B)) = interior(A,B);
% 1.13/1.41   top_str(sK2_t51_tops_1_A) = true;
% 1.13/1.41   topological_space(sK2_t51_tops_1_A) = true;
% 1.13/1.41   element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) = true;
% 1.13/1.41  ";
% 1.13/1.41  
% 1.13/1.41  let s1 = status F "
% 1.13/1.41   sK1_t51_tops_1_B lr_lex;
% 1.13/1.41   sK2_t51_tops_1_A lr_lex;
% 1.13/1.41   sK3_rc1_tops_1_B lr_lex;
% 1.13/1.41   interior lr_lex;
% 1.13/1.41   sK4_existence_m1_subset_1_B lr_lex;
% 1.13/1.41   sK5_existence_l1_pre_topc_A lr_lex;
% 1.13/1.41   topstr_closure lr_lex;
% 1.13/1.41   one_sorted_str lr_lex;
% 1.13/1.41   sK6_existence_l1_struct_0_A lr_lex;
% 1.13/1.41   subset lr_lex;
% 1.13/1.41   sK7_rc6_pre_topc_B lr_lex;
% 1.13/1.41   open_subset lr_lex;
% 1.13/1.41   subset_complement lr_lex;
% 1.13/1.41   top_str lr_lex;
% 1.13/1.41   topological_space lr_lex;
% 1.13/1.41   closed_subset lr_lex;
% 1.13/1.41   true lr_lex;
% 1.13/1.41   element lr_lex;
% 1.13/1.41   powerset lr_lex;
% 1.13/1.41   the_carrier lr_lex;
% 1.13/1.41   ifeq lr_lex;
% 1.13/1.41   ifeq2 lr_lex;
% 1.13/1.41  ";
% 1.13/1.41  
% 1.13/1.41  let p1 = precedence F "
% 1.13/1.41  sK4_existence_m1_subset_1_B > ifeq2 > ifeq > element > closed_subset > subset_complement > open_subset > subset > topstr_closure > interior > the_carrier > powerset > topological_space > top_str > sK7_rc6_pre_topc_B > one_sorted_str > sK3_rc1_tops_1_B > true > sK6_existence_l1_struct_0_A > sK5_existence_l1_pre_topc_A > sK2_t51_tops_1_A > sK1_t51_tops_1_B";
% 1.13/1.41  
% 1.13/1.41  let s2 = status F "
% 1.13/1.41  sK1_t51_tops_1_B mul;
% 1.13/1.41  sK2_t51_tops_1_A mul;
% 1.13/1.41  sK3_rc1_tops_1_B mul;
% 1.13/1.41  interior mul;
% 1.13/1.41  sK4_existence_m1_subset_1_B mul;
% 1.13/1.41  sK5_existence_l1_pre_topc_A mul;
% 1.13/1.41  topstr_closure mul;
% 1.13/1.41  one_sorted_str mul;
% 1.13/1.41  sK6_existence_l1_struct_0_A mul;
% 1.13/1.41  subset mul;
% 1.13/1.41  sK7_rc6_pre_topc_B mul;
% 1.13/1.41  open_subset mul;
% 1.13/1.41  subset_complement mul;
% 1.13/1.41  top_str mul;
% 1.13/1.41  topological_space mul;
% 1.13/1.41  closed_subset mul;
% 1.13/1.41  true mul;
% 1.13/1.41  element mul;
% 1.13/1.41  powerset mul;
% 1.13/1.41  the_carrier mul;
% 1.13/1.41  ifeq mul;
% 1.13/1.41  ifeq2 mul;
% 1.13/1.41  ";
% 1.13/1.41  
% 1.13/1.41  let p2 = precedence F "
% 1.13/1.41  sK4_existence_m1_subset_1_B > ifeq2 > ifeq > element > closed_subset > subset_complement > open_subset > subset > topstr_closure > interior > the_carrier > powerset > topological_space > top_str > sK7_rc6_pre_topc_B > one_sorted_str > sK3_rc1_tops_1_B > true = sK6_existence_l1_struct_0_A = sK5_existence_l1_pre_topc_A = sK2_t51_tops_1_A = sK1_t51_tops_1_B";
% 1.13/1.41  
% 1.13/1.41  let o_auto = AUTO Axioms;
% 1.13/1.41  
% 1.13/1.41  let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.13/1.41  
% 1.13/1.41  let Conjectures = equations F X " open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) = true;"
% 1.13/1.41  ;
% 1.13/1.41  (*
% 1.13/1.41  let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.13/1.41  
% 1.13/1.41  let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% 1.13/1.41  *)
% 1.13/1.41  #time on;
% 1.13/1.41  
% 1.13/1.41  let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.13/1.41  
% 1.13/1.41  #time off;
% 1.13/1.41  
% 1.13/1.41  
% 1.13/1.41  let status = if res then "unsatisfiable" else "satisfiable";
% 1.13/1.41  #quit;
% 1.13/1.41  Verbose level is now 1
% 1.13/1.41  
% 1.13/1.41  F : signature = <signature>
% 1.13/1.41  X : variable_set = <variable set>
% 1.13/1.41  
% 1.13/1.41  Axioms : (F,X) equations = { ifeq2(A,A,B,C) = B,
% 1.13/1.41                               ifeq(A,A,B,C) = B,
% 1.13/1.41                               ifeq(element(B,powerset(the_carrier(A))),true,
% 1.13/1.41                               ifeq(closed_subset(B,A),true,ifeq(topological_space(A),true,
% 1.13/1.41                                                            ifeq(top_str(A),true,
% 1.13/1.41                                                            open_subset(
% 1.13/1.41                                                            subset_complement(
% 1.13/1.41                                                            the_carrier(A),B),A),true),true),true),true)
% 1.13/1.41                               = true,
% 1.13/1.41                               ifeq(topological_space(A),true,ifeq(top_str(A),true,
% 1.13/1.41                                                              element(sK7_rc6_pre_topc_B(A),
% 1.13/1.41                                                              powerset(
% 1.13/1.41                                                              the_carrier(A))),true),true)
% 1.13/1.41                               = true,
% 1.13/1.41                               ifeq(topological_space(A),true,ifeq(top_str(A),true,
% 1.13/1.41                                                              closed_subset(
% 1.13/1.41                                                              sK7_rc6_pre_topc_B(A),A),true),true)
% 1.13/1.41                               = true,
% 1.13/1.41                               ifeq2(element(B,powerset(A)),true,subset_complement(A,
% 1.13/1.41                                                                 subset_complement(A,B)),B)
% 1.13/1.41                               = B,
% 1.13/1.41                               subset(A,A) = true,
% 1.13/1.41                               one_sorted_str(sK6_existence_l1_struct_0_A) =
% 1.13/1.41                               true,
% 1.13/1.41                               ifeq(element(B,powerset(A)),true,element(
% 1.13/1.41                                                                subset_complement(A,B),
% 1.13/1.41                                                                powerset(A)),true)
% 1.13/1.41                               = true,
% 1.13/1.41                               ifeq(element(B,powerset(the_carrier(A))),true,
% 1.13/1.41                               ifeq(top_str(A),true,element(topstr_closure(A,B),
% 1.13/1.41                                                    powerset(the_carrier(A))),true),true)
% 1.13/1.41                               = true,
% 1.13/1.41                               ifeq(element(B,powerset(the_carrier(A))),true,
% 1.13/1.41                               ifeq(topological_space(A),true,ifeq(top_str(A),true,
% 1.13/1.41                                                              closed_subset(
% 1.13/1.41                                                              topstr_closure(A,B),A),true),true),true)
% 1.13/1.41                               = true,
% 1.13/1.41                               ifeq(open_subset(B,A),true,ifeq(element(B,
% 1.13/1.41                                                               powerset(
% 1.13/1.41                                                               the_carrier(A))),true,
% 1.13/1.41                                                          ifeq(topological_space(A),true,
% 1.13/1.41                                                          ifeq(top_str(A),true,
% 1.13/1.41                                                          closed_subset(
% 1.13/1.43                                                          subset_complement(
% 1.13/1.43                                                          the_carrier(A),B),A),true),true),true),true)
% 1.13/1.43                               = true,
% 1.13/1.43                               top_str(sK5_existence_l1_pre_topc_A) = true,
% 1.13/1.43                               element(sK4_existence_m1_subset_1_B(A),A) = true,
% 1.13/1.43                               ifeq(element(B,powerset(the_carrier(A))),true,
% 1.13/1.43                               ifeq(top_str(A),true,element(interior(A,B),
% 1.13/1.43                                                    powerset(the_carrier(A))),true),true)
% 1.13/1.43                               = true,
% 1.13/1.43                               ifeq(top_str(A),true,one_sorted_str(A),true) =
% 1.13/1.43                               true,
% 1.13/1.43                               ifeq(topological_space(A),true,ifeq(top_str(A),true,
% 1.13/1.43                                                              open_subset(
% 1.13/1.43                                                              sK3_rc1_tops_1_B(A),A),true),true)
% 1.13/1.43                               = true,
% 1.13/1.43                               ifeq(topological_space(A),true,ifeq(top_str(A),true,
% 1.13/1.43                                                              element(sK3_rc1_tops_1_B(A),
% 1.13/1.43                                                              powerset(
% 1.13/1.43                                                              the_carrier(A))),true),true)
% 1.13/1.43                               = true,
% 1.13/1.43                               ifeq(subset(A,B),true,element(A,powerset(B)),true)
% 1.13/1.43                               = true,
% 1.13/1.43                               ifeq(element(A,powerset(B)),true,subset(A,B),true)
% 1.13/1.43                               = true,
% 1.13/1.43                               ifeq2(element(B,powerset(the_carrier(A))),true,
% 1.13/1.43                               ifeq2(top_str(A),true,subset_complement(
% 1.13/1.43                                                     the_carrier(A),topstr_closure(A,
% 1.13/1.43                                                                    subset_complement(
% 1.13/1.43                                                                    the_carrier(A),B))),
% 1.13/1.43                               interior(A,B)),interior(A,B)) = interior(A,B),
% 1.13/1.43                               top_str(sK2_t51_tops_1_A) = true,
% 1.13/1.43                               topological_space(sK2_t51_tops_1_A) = true,
% 1.13/1.43                               element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A)))
% 1.13/1.43                               = true } (24 equation(s))
% 1.13/1.43  s1 : F status = <status>
% 1.13/1.43  p1 : F precedence = <precedence>
% 1.13/1.43  s2 : F status = <status>
% 1.13/1.43  p2 : F precedence = <precedence>
% 1.13/1.43  o_auto : F term_ordering = <term ordering>
% 1.13/1.43  o : F term_ordering = <term ordering>
% 1.13/1.43  Conjectures : (F,X) equations = { open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
% 1.13/1.43                                    = true } (1 equation(s))
% 1.13/1.43  time is now on
% 1.13/1.43  
% 1.13/1.43  Initializing completion ...
% 1.13/1.43  New rule produced : [1] one_sorted_str(sK6_existence_l1_struct_0_A) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 23
% 1.13/1.43  Current number of rules: 1
% 1.13/1.43  New rule produced : [2] top_str(sK5_existence_l1_pre_topc_A) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 22
% 1.13/1.43  Current number of rules: 2
% 1.13/1.43  New rule produced : [3] top_str(sK2_t51_tops_1_A) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 21
% 1.13/1.43  Current number of rules: 3
% 1.13/1.43  New rule produced : [4] topological_space(sK2_t51_tops_1_A) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 20
% 1.13/1.43  Current number of rules: 4
% 1.13/1.43  New rule produced : [5] subset(A,A) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 19
% 1.13/1.43  Current number of rules: 5
% 1.13/1.43  New rule produced : [6] element(sK4_existence_m1_subset_1_B(A),A) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 18
% 1.13/1.43  Current number of rules: 6
% 1.13/1.43  New rule produced :
% 1.13/1.43  [7] element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 17
% 1.13/1.43  Current number of rules: 7
% 1.13/1.43  New rule produced : [8] ifeq(A,A,B,C) -> B
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 16
% 1.13/1.43  Current number of rules: 8
% 1.13/1.43  New rule produced : [9] ifeq2(A,A,B,C) -> B
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 15
% 1.13/1.43  Current number of rules: 9
% 1.13/1.43  New rule produced : [10] ifeq(top_str(A),true,one_sorted_str(A),true) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 14
% 1.13/1.43  Current number of rules: 10
% 1.13/1.43  New rule produced :
% 1.13/1.43  [11] ifeq(element(A,powerset(B)),true,subset(A,B),true) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 13
% 1.13/1.43  Current number of rules: 11
% 1.13/1.43  New rule produced :
% 1.13/1.43  [12] ifeq(subset(A,B),true,element(A,powerset(B)),true) -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 12
% 1.13/1.43  Current number of rules: 12
% 1.13/1.43  New rule produced :
% 1.13/1.43  [13]
% 1.13/1.43  ifeq2(element(B,powerset(A)),true,subset_complement(A,subset_complement(A,B)),B)
% 1.13/1.43  -> B
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 11
% 1.13/1.43  Current number of rules: 13
% 1.13/1.43  New rule produced :
% 1.13/1.43  [14]
% 1.13/1.43  ifeq(element(B,powerset(A)),true,element(subset_complement(A,B),powerset(A)),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 10
% 1.13/1.43  Current number of rules: 14
% 1.13/1.43  New rule produced :
% 1.13/1.43  [15]
% 1.13/1.43  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK7_rc6_pre_topc_B(A),A),true),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 9
% 1.13/1.43  Current number of rules: 15
% 1.13/1.43  New rule produced :
% 1.13/1.43  [16]
% 1.13/1.43  ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(sK3_rc1_tops_1_B(A),A),true),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 8
% 1.13/1.43  Current number of rules: 16
% 1.13/1.43  New rule produced :
% 1.13/1.43  [17]
% 1.13/1.43  ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK7_rc6_pre_topc_B(A),
% 1.13/1.43                                                      powerset(the_carrier(A))),true),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 7
% 1.13/1.43  Current number of rules: 17
% 1.13/1.43  New rule produced :
% 1.13/1.43  [18]
% 1.13/1.43  ifeq(topological_space(A),true,ifeq(top_str(A),true,element(sK3_rc1_tops_1_B(A),
% 1.13/1.43                                                      powerset(the_carrier(A))),true),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 6
% 1.13/1.43  Current number of rules: 18
% 1.13/1.43  New rule produced :
% 1.13/1.43  [19]
% 1.13/1.43  ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(
% 1.13/1.43                                                                     topstr_closure(A,B),
% 1.13/1.43                                                                     powerset(
% 1.13/1.43                                                                     the_carrier(A))),true),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 5
% 1.13/1.43  Current number of rules: 19
% 1.13/1.43  New rule produced :
% 1.13/1.43  [20]
% 1.13/1.43  ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,element(
% 1.13/1.43                                                                     interior(A,B),
% 1.13/1.43                                                                     powerset(
% 1.13/1.43                                                                     the_carrier(A))),true),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 4
% 1.13/1.43  Current number of rules: 20
% 1.13/1.43  New rule produced :
% 1.13/1.43  [21]
% 1.13/1.43  ifeq(element(B,powerset(the_carrier(A))),true,ifeq(topological_space(A),true,
% 1.13/1.43                                                ifeq(top_str(A),true,closed_subset(
% 1.13/1.43                                                                     topstr_closure(A,B),A),true),true),true)
% 1.13/1.43  -> true
% 1.13/1.43  Current number of equations to process: 0
% 1.13/1.43  Current number of ordered equations: 3
% 1.13/1.43  Current number of rules: 21
% 1.13/1.43  New rule produced :
% 1.13/1.43  [22]
% 1.13/1.43  ifeq2(element(B,powerset(the_carrier(A))),true,ifeq2(top_str(A),true,
% 1.13/1.43                                                 subset_complement(the_carrier(A),
% 1.13/1.43                                                 topstr_closure(A,subset_complement(
% 1.13/1.43                                                                  the_carrier(A),B))),
% 1.13/1.44                                                 interior(A,B)),interior(A,B))
% 1.13/1.44  -> interior(A,B)
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 2
% 1.13/1.44  Current number of rules: 22
% 1.13/1.44  New rule produced :
% 1.13/1.44  [23]
% 1.13/1.44  ifeq(open_subset(B,A),true,ifeq(element(B,powerset(the_carrier(A))),true,
% 1.13/1.44                             ifeq(topological_space(A),true,ifeq(top_str(A),true,
% 1.13/1.44                                                            closed_subset(
% 1.13/1.44                                                            subset_complement(
% 1.13/1.44                                                            the_carrier(A),B),A),true),true),true),true)
% 1.13/1.44  -> true
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 1
% 1.13/1.44  Current number of rules: 23
% 1.13/1.44  New rule produced :
% 1.13/1.44  [24]
% 1.13/1.44  ifeq(element(B,powerset(the_carrier(A))),true,ifeq(closed_subset(B,A),true,
% 1.13/1.44                                                ifeq(topological_space(A),true,
% 1.13/1.44                                                ifeq(top_str(A),true,open_subset(
% 1.13/1.44                                                                     subset_complement(
% 1.13/1.44                                                                     the_carrier(A),B),A),true),true),true),true)
% 1.13/1.44  -> true
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 24
% 1.13/1.44  New rule produced : [25] one_sorted_str(sK5_existence_l1_pre_topc_A) -> true
% 1.13/1.44  Current number of equations to process: 1
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 25
% 1.13/1.44  New rule produced : [26] one_sorted_str(sK2_t51_tops_1_A) -> true
% 1.13/1.44  Current number of equations to process: 1
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 26
% 1.13/1.44  New rule produced :
% 1.13/1.44  [27] ifeq(top_str(sK6_existence_l1_struct_0_A),true,true,true) -> true
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 27
% 1.13/1.44  New rule produced :
% 1.13/1.44  [28] subset(sK4_existence_m1_subset_1_B(powerset(A)),A) -> true
% 1.13/1.44  Current number of equations to process: 1
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 28
% 1.13/1.44  New rule produced :
% 1.13/1.44  [29] subset(sK1_t51_tops_1_B,the_carrier(sK2_t51_tops_1_A)) -> true
% 1.13/1.44  Current number of equations to process: 1
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 29
% 1.13/1.44  New rule produced : [30] ifeq(element(A,powerset(A)),true,true,true) -> true
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 30
% 1.13/1.44  New rule produced : [31] element(A,powerset(A)) -> true
% 1.13/1.44  Rule [30] ifeq(element(A,powerset(A)),true,true,true) -> true collapsed.
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 30
% 1.13/1.44  New rule produced :
% 1.13/1.44  [32]
% 1.13/1.44  subset_complement(A,subset_complement(A,sK4_existence_m1_subset_1_B(powerset(A))))
% 1.13/1.44  -> sK4_existence_m1_subset_1_B(powerset(A))
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 31
% 1.13/1.44  New rule produced :
% 1.13/1.44  [33]
% 1.13/1.44  subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
% 1.13/1.44  -> sK1_t51_tops_1_B
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 32
% 1.13/1.44  New rule produced :
% 1.13/1.44  [34]
% 1.13/1.44  element(subset_complement(A,sK4_existence_m1_subset_1_B(powerset(A))),
% 1.13/1.44  powerset(A)) -> true
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 33
% 1.13/1.44  New rule produced :
% 1.13/1.44  [35]
% 1.13/1.44  element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),
% 1.13/1.44  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.13/1.44  Current number of equations to process: 0
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 34
% 1.13/1.44  New rule produced :
% 1.13/1.44  [36]
% 1.13/1.44  closed_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A) -> true
% 1.13/1.44  Current number of equations to process: 1
% 1.13/1.44  Current number of ordered equations: 0
% 1.13/1.44  Current number of rules: 35
% 1.13/1.44  New rule produced :
% 1.13/1.44  [37]
% 1.13/1.44  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.13/1.44                                                           sK7_rc6_pre_topc_B(sK5_existence_l1_pre_topc_A),sK5_existence_l1_pre_topc_A),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 36
% 1.13/1.45  New rule produced :
% 1.13/1.45  [38] open_subset(sK3_rc1_tops_1_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A) -> true
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 37
% 1.13/1.45  New rule produced :
% 1.13/1.45  [39]
% 1.13/1.45  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,open_subset(
% 1.13/1.45                                                           sK3_rc1_tops_1_B(sK5_existence_l1_pre_topc_A),sK5_existence_l1_pre_topc_A),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 38
% 1.13/1.45  New rule produced :
% 1.13/1.45  [40]
% 1.13/1.45  element(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),powerset(the_carrier(sK2_t51_tops_1_A)))
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 39
% 1.13/1.45  New rule produced :
% 1.13/1.45  [41]
% 1.13/1.45  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,element(sK7_rc6_pre_topc_B(sK5_existence_l1_pre_topc_A),
% 1.13/1.45                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 40
% 1.13/1.45  New rule produced :
% 1.13/1.45  [42]
% 1.13/1.45  element(sK3_rc1_tops_1_B(sK2_t51_tops_1_A),powerset(the_carrier(sK2_t51_tops_1_A)))
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 41
% 1.13/1.45  New rule produced :
% 1.13/1.45  [43]
% 1.13/1.45  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,element(sK3_rc1_tops_1_B(sK5_existence_l1_pre_topc_A),
% 1.13/1.45                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 42
% 1.13/1.45  New rule produced :
% 1.13/1.45  [44]
% 1.13/1.45  ifeq(element(A,powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true,
% 1.13/1.45  element(topstr_closure(sK5_existence_l1_pre_topc_A,A),powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 2
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 43
% 1.13/1.45  New rule produced :
% 1.13/1.45  [45]
% 1.13/1.45  ifeq(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(
% 1.13/1.45                                                               topstr_closure(sK2_t51_tops_1_A,A),
% 1.13/1.45                                                               powerset(
% 1.13/1.45                                                               the_carrier(sK2_t51_tops_1_A))),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 44
% 1.13/1.45  New rule produced :
% 1.13/1.45  [46]
% 1.13/1.45  ifeq(top_str(A),true,element(topstr_closure(A,sK4_existence_m1_subset_1_B(
% 1.13/1.45                                                powerset(the_carrier(A)))),
% 1.13/1.45                       powerset(the_carrier(A))),true) -> true
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 45
% 1.13/1.45  New rule produced :
% 1.13/1.45  [47]
% 1.13/1.45  ifeq(element(A,powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true,
% 1.13/1.45  element(interior(sK5_existence_l1_pre_topc_A,A),powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 2
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 46
% 1.13/1.45  New rule produced :
% 1.13/1.45  [48]
% 1.13/1.45  ifeq(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(
% 1.13/1.45                                                               interior(sK2_t51_tops_1_A,A),
% 1.13/1.45                                                               powerset(
% 1.13/1.45                                                               the_carrier(sK2_t51_tops_1_A))),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 47
% 1.13/1.45  New rule produced :
% 1.13/1.45  [49]
% 1.13/1.45  ifeq(top_str(A),true,element(interior(A,sK4_existence_m1_subset_1_B(powerset(
% 1.13/1.45                                                                      the_carrier(A)))),
% 1.13/1.45                       powerset(the_carrier(A))),true) -> true
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 48
% 1.13/1.45  New rule produced :
% 1.13/1.45  [50]
% 1.13/1.45  ifeq(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,closed_subset(
% 1.13/1.45                                                               topstr_closure(sK2_t51_tops_1_A,A),sK2_t51_tops_1_A),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 49
% 1.13/1.45  New rule produced :
% 1.13/1.45  [51]
% 1.13/1.45  ifeq(element(A,powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true,
% 1.13/1.45  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.13/1.45                                                           topstr_closure(sK5_existence_l1_pre_topc_A,A),sK5_existence_l1_pre_topc_A),true),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 50
% 1.13/1.45  New rule produced :
% 1.13/1.45  [52]
% 1.13/1.45  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,
% 1.13/1.45                                                                    sK4_existence_m1_subset_1_B(
% 1.13/1.45                                                                    powerset(
% 1.13/1.45                                                                    the_carrier(A)))),A),true),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 51
% 1.13/1.45  New rule produced :
% 1.13/1.45  [53]
% 1.13/1.45  ifeq2(element(A,powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true,
% 1.13/1.45  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.13/1.45                                                             subset_complement(
% 1.13/1.45                                                             the_carrier(sK5_existence_l1_pre_topc_A),A))),
% 1.13/1.45  interior(sK5_existence_l1_pre_topc_A,A)) ->
% 1.13/1.45  interior(sK5_existence_l1_pre_topc_A,A)
% 1.13/1.45  Current number of equations to process: 2
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 52
% 1.13/1.45  New rule produced :
% 1.13/1.45  [54]
% 1.13/1.45  ifeq2(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,subset_complement(
% 1.13/1.45                                                                the_carrier(sK2_t51_tops_1_A),
% 1.13/1.45                                                                topstr_closure(sK2_t51_tops_1_A,
% 1.13/1.45                                                                subset_complement(
% 1.13/1.45                                                                the_carrier(sK2_t51_tops_1_A),A))),
% 1.13/1.45  interior(sK2_t51_tops_1_A,A)) -> interior(sK2_t51_tops_1_A,A)
% 1.13/1.45  Current number of equations to process: 1
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 53
% 1.13/1.45  New rule produced :
% 1.13/1.45  [55]
% 1.13/1.45  ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,
% 1.13/1.45                                                         subset_complement(
% 1.13/1.45                                                         the_carrier(A),
% 1.13/1.45                                                         sK4_existence_m1_subset_1_B(
% 1.13/1.45                                                         powerset(the_carrier(A)))))),
% 1.13/1.45  interior(A,sK4_existence_m1_subset_1_B(powerset(the_carrier(A))))) ->
% 1.13/1.45  interior(A,sK4_existence_m1_subset_1_B(powerset(the_carrier(A))))
% 1.13/1.45  Current number of equations to process: 0
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 54
% 1.13/1.45  New rule produced :
% 1.13/1.45  [56]
% 1.13/1.45  ifeq(open_subset(A,sK2_t51_tops_1_A),true,ifeq(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,
% 1.13/1.45                                            closed_subset(subset_complement(
% 1.13/1.45                                                          the_carrier(sK2_t51_tops_1_A),A),sK2_t51_tops_1_A),true),true)
% 1.13/1.45  -> true
% 1.13/1.45  Current number of equations to process: 2
% 1.13/1.45  Current number of ordered equations: 0
% 1.13/1.45  Current number of rules: 55
% 1.13/1.45  New rule produced :
% 1.13/1.45  [57]
% 1.13/1.45  ifeq(open_subset(A,sK5_existence_l1_pre_topc_A),true,ifeq(element(A,powerset(
% 1.13/1.45                                                                      the_carrier(sK5_existence_l1_pre_topc_A))),true,
% 1.13/1.45                                                       ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,
% 1.13/1.47                                                       closed_subset(subset_complement(
% 1.13/1.47                                                                     the_carrier(sK5_existence_l1_pre_topc_A),A),sK5_existence_l1_pre_topc_A),true),true),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 1
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 56
% 1.13/1.47  New rule produced :
% 1.13/1.47  [58]
% 1.13/1.47  ifeq(open_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(A))),A),true,
% 1.13/1.47  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(subset_complement(
% 1.13/1.47                                                                    the_carrier(A),
% 1.13/1.47                                                                    sK4_existence_m1_subset_1_B(
% 1.13/1.47                                                                    powerset(
% 1.13/1.47                                                                    the_carrier(A)))),A),true),true),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 0
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 57
% 1.13/1.47  New rule produced :
% 1.13/1.47  [59]
% 1.13/1.47  ifeq(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(closed_subset(A,sK2_t51_tops_1_A),true,
% 1.13/1.47                                                               open_subset(
% 1.13/1.47                                                               subset_complement(
% 1.13/1.47                                                               the_carrier(sK2_t51_tops_1_A),A),sK2_t51_tops_1_A),true),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 2
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 58
% 1.13/1.47  New rule produced :
% 1.13/1.47  [60]
% 1.13/1.47  ifeq(element(A,powerset(the_carrier(sK5_existence_l1_pre_topc_A))),true,
% 1.13/1.47  ifeq(closed_subset(A,sK5_existence_l1_pre_topc_A),true,ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,
% 1.13/1.47                                                         open_subset(subset_complement(
% 1.13/1.47                                                                     the_carrier(sK5_existence_l1_pre_topc_A),A),sK5_existence_l1_pre_topc_A),true),true),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 1
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 59
% 1.13/1.47  New rule produced :
% 1.13/1.47  [61]
% 1.13/1.47  ifeq(closed_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(A))),A),true,
% 1.13/1.47  ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(subset_complement(
% 1.13/1.47                                                                  the_carrier(A),
% 1.13/1.47                                                                  sK4_existence_m1_subset_1_B(
% 1.13/1.47                                                                  powerset(
% 1.13/1.47                                                                  the_carrier(A)))),A),true),true),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 0
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 60
% 1.13/1.47  New rule produced : [62] subset_complement(A,subset_complement(A,A)) -> A
% 1.13/1.47  Current number of equations to process: 0
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 61
% 1.13/1.47  New rule produced : [63] element(subset_complement(A,A),powerset(A)) -> true
% 1.13/1.47  Current number of equations to process: 0
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 62
% 1.13/1.47  New rule produced :
% 1.13/1.47  [64]
% 1.13/1.47  ifeq(top_str(A),true,element(topstr_closure(A,the_carrier(A)),powerset(
% 1.13/1.47                                                                the_carrier(A))),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 1
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 63
% 1.13/1.47  New rule produced :
% 1.13/1.47  [65]
% 1.13/1.47  ifeq(top_str(A),true,element(interior(A,the_carrier(A)),powerset(the_carrier(A))),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 0
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 64
% 1.13/1.47  New rule produced :
% 1.13/1.47  [66]
% 1.13/1.47  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,
% 1.13/1.47                                                                    the_carrier(A)),A),true),true)
% 1.13/1.47  -> true
% 1.13/1.47  Current number of equations to process: 1
% 1.13/1.47  Current number of ordered equations: 0
% 1.13/1.47  Current number of rules: 65
% 1.13/1.47  New rule produced :
% 1.13/1.47  [67]
% 1.13/1.47  subset(subset_complement(A,sK4_existence_m1_subset_1_B(powerset(A))),A) ->
% 1.19/1.49  true
% 1.19/1.49  Current number of equations to process: 6
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 66
% 1.19/1.49  New rule produced :
% 1.19/1.49  [68]
% 1.19/1.49  ifeq(top_str(A),true,element(topstr_closure(A,subset_complement(the_carrier(A),
% 1.19/1.49                                                sK4_existence_m1_subset_1_B(
% 1.19/1.49                                                powerset(the_carrier(A))))),
% 1.19/1.49                       powerset(the_carrier(A))),true) -> true
% 1.19/1.49  Current number of equations to process: 8
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 67
% 1.19/1.49  New rule produced :
% 1.19/1.49  [69]
% 1.19/1.49  ifeq(top_str(A),true,element(interior(A,subset_complement(the_carrier(A),
% 1.19/1.49                                          sK4_existence_m1_subset_1_B(powerset(
% 1.19/1.49                                                                      the_carrier(A))))),
% 1.19/1.49                       powerset(the_carrier(A))),true) -> true
% 1.19/1.49  Current number of equations to process: 7
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 68
% 1.19/1.49  New rule produced :
% 1.19/1.49  [70]
% 1.19/1.49  subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),
% 1.19/1.49  the_carrier(sK2_t51_tops_1_A)) -> true
% 1.19/1.49  Current number of equations to process: 7
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 69
% 1.19/1.49  New rule produced :
% 1.19/1.49  [71]
% 1.19/1.49  subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),the_carrier(sK2_t51_tops_1_A)) ->
% 1.19/1.49  true
% 1.19/1.49  Current number of equations to process: 7
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 70
% 1.19/1.49  New rule produced :
% 1.19/1.49  [72]
% 1.19/1.49  subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.49                                                  sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)))
% 1.19/1.49  -> sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)
% 1.19/1.49  Current number of equations to process: 7
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 71
% 1.19/1.49  New rule produced :
% 1.19/1.49  [73]
% 1.19/1.49  element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),
% 1.19/1.49  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.49  Current number of equations to process: 7
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 72
% 1.19/1.49  New rule produced :
% 1.19/1.49  [74]
% 1.19/1.49  ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,
% 1.19/1.49                                                         subset_complement(
% 1.19/1.49                                                         the_carrier(A),
% 1.19/1.49                                                         the_carrier(A)))),
% 1.19/1.49  interior(A,the_carrier(A))) -> interior(A,the_carrier(A))
% 1.19/1.49  Current number of equations to process: 6
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 73
% 1.19/1.49  New rule produced :
% 1.19/1.49  [75]
% 1.19/1.49  subset(sK3_rc1_tops_1_B(sK2_t51_tops_1_A),the_carrier(sK2_t51_tops_1_A)) ->
% 1.19/1.49  true
% 1.19/1.49  Current number of equations to process: 6
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 74
% 1.19/1.49  New rule produced :
% 1.19/1.49  [76]
% 1.19/1.49  subset_complement(the_carrier(sK2_t51_tops_1_A),subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.49                                                  sK3_rc1_tops_1_B(sK2_t51_tops_1_A)))
% 1.19/1.49  -> sK3_rc1_tops_1_B(sK2_t51_tops_1_A)
% 1.19/1.49  Current number of equations to process: 6
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 75
% 1.19/1.49  New rule produced :
% 1.19/1.49  [77]
% 1.19/1.49  element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),
% 1.19/1.49  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.49  Current number of equations to process: 6
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 76
% 1.19/1.49  New rule produced :
% 1.19/1.49  [78]
% 1.19/1.49  element(topstr_closure(sK5_existence_l1_pre_topc_A,sK4_existence_m1_subset_1_B(
% 1.19/1.49                                                     powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),
% 1.19/1.49  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.19/1.49  Current number of equations to process: 6
% 1.19/1.49  Current number of ordered equations: 0
% 1.19/1.49  Current number of rules: 77
% 1.19/1.49  New rule produced :
% 1.19/1.49  [79]
% 1.19/1.49  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,
% 1.19/1.49                                                                    subset_complement(
% 1.19/1.49                                                                    the_carrier(A),
% 1.19/1.49                                                                    sK4_existence_m1_subset_1_B(
% 1.19/1.50                                                                    powerset(
% 1.19/1.50                                                                    the_carrier(A))))),A),true),true)
% 1.19/1.50  -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 78
% 1.19/1.50  New rule produced :
% 1.19/1.50  [80]
% 1.19/1.50  element(topstr_closure(sK5_existence_l1_pre_topc_A,the_carrier(sK5_existence_l1_pre_topc_A)),
% 1.19/1.50  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 79
% 1.19/1.50  New rule produced :
% 1.19/1.50  [81]
% 1.19/1.50  element(topstr_closure(sK5_existence_l1_pre_topc_A,subset_complement(
% 1.19/1.50                                                     the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.50                                                     sK4_existence_m1_subset_1_B(
% 1.19/1.50                                                     powerset(the_carrier(sK5_existence_l1_pre_topc_A))))),
% 1.19/1.50  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 80
% 1.19/1.50  New rule produced :
% 1.19/1.50  [82]
% 1.19/1.50  element(topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
% 1.19/1.50  -> true
% 1.19/1.50  Current number of equations to process: 6
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 81
% 1.19/1.50  New rule produced :
% 1.19/1.50  [83]
% 1.19/1.50  element(topstr_closure(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(powerset(
% 1.19/1.50                                                                      the_carrier(sK2_t51_tops_1_A)))),
% 1.19/1.50  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 82
% 1.19/1.50  New rule produced :
% 1.19/1.50  [84]
% 1.19/1.50  element(topstr_closure(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A)),
% 1.19/1.50  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 83
% 1.19/1.50  New rule produced :
% 1.19/1.50  [85]
% 1.19/1.50  element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
% 1.19/1.50  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.50  Current number of equations to process: 6
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 84
% 1.19/1.50  New rule produced :
% 1.19/1.50  [86]
% 1.19/1.50  element(topstr_closure(sK2_t51_tops_1_A,sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),
% 1.19/1.50  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.50  Current number of equations to process: 6
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 85
% 1.19/1.50  New rule produced :
% 1.19/1.50  [87]
% 1.19/1.50  element(topstr_closure(sK2_t51_tops_1_A,sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),
% 1.19/1.50  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.50  Current number of equations to process: 6
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 86
% 1.19/1.50  New rule produced :
% 1.19/1.50  [88]
% 1.19/1.50  element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.50                                          sK4_existence_m1_subset_1_B(powerset(
% 1.19/1.50                                                                      the_carrier(sK2_t51_tops_1_A))))),
% 1.19/1.50  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 87
% 1.19/1.50  New rule produced :
% 1.19/1.50  [89]
% 1.19/1.50  element(interior(sK5_existence_l1_pre_topc_A,sK4_existence_m1_subset_1_B(
% 1.19/1.50                                               powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),
% 1.19/1.50  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 88
% 1.19/1.50  New rule produced :
% 1.19/1.50  [90]
% 1.19/1.50  element(interior(sK5_existence_l1_pre_topc_A,the_carrier(sK5_existence_l1_pre_topc_A)),
% 1.19/1.50  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.19/1.50  Current number of equations to process: 5
% 1.19/1.50  Current number of ordered equations: 0
% 1.19/1.50  Current number of rules: 89
% 1.19/1.50  New rule produced :
% 1.19/1.50  [91]
% 1.19/1.50  element(interior(sK5_existence_l1_pre_topc_A,subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.52                                               sK4_existence_m1_subset_1_B(
% 1.19/1.52                                               powerset(the_carrier(sK5_existence_l1_pre_topc_A))))),
% 1.19/1.52  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.19/1.52  Current number of equations to process: 5
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 90
% 1.19/1.52  New rule produced :
% 1.19/1.52  [92]
% 1.19/1.52  element(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),powerset(the_carrier(sK2_t51_tops_1_A)))
% 1.19/1.52  -> true
% 1.19/1.52  Current number of equations to process: 6
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 91
% 1.19/1.52  New rule produced :
% 1.19/1.52  [93]
% 1.19/1.52  element(interior(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(powerset(
% 1.19/1.52                                                                the_carrier(sK2_t51_tops_1_A)))),
% 1.19/1.52  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.52  Current number of equations to process: 5
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 92
% 1.19/1.52  New rule produced :
% 1.19/1.52  [94]
% 1.19/1.52  element(interior(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A)),powerset(
% 1.19/1.52                                                                   the_carrier(sK2_t51_tops_1_A)))
% 1.19/1.52  -> true
% 1.19/1.52  Current number of equations to process: 5
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 93
% 1.19/1.52  New rule produced :
% 1.19/1.52  [95]
% 1.19/1.52  element(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
% 1.19/1.52  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.52  Current number of equations to process: 6
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 94
% 1.19/1.52  New rule produced :
% 1.19/1.52  [96]
% 1.19/1.52  element(interior(sK2_t51_tops_1_A,sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),
% 1.19/1.52  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.52  Current number of equations to process: 6
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 95
% 1.19/1.52  New rule produced :
% 1.19/1.52  [97]
% 1.19/1.52  element(interior(sK2_t51_tops_1_A,sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),
% 1.19/1.52  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.52  Current number of equations to process: 6
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 96
% 1.19/1.52  New rule produced :
% 1.19/1.52  [98]
% 1.19/1.52  element(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.52                                    sK4_existence_m1_subset_1_B(powerset(
% 1.19/1.52                                                                the_carrier(sK2_t51_tops_1_A))))),
% 1.19/1.52  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.19/1.52  Current number of equations to process: 5
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 97
% 1.19/1.52  New rule produced :
% 1.19/1.52  [99]
% 1.19/1.52  closed_subset(topstr_closure(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(
% 1.19/1.52                                                powerset(the_carrier(sK2_t51_tops_1_A)))),sK2_t51_tops_1_A)
% 1.19/1.52  -> true
% 1.19/1.52  Current number of equations to process: 5
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 98
% 1.19/1.52  New rule produced :
% 1.19/1.52  [100]
% 1.19/1.52  closed_subset(topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
% 1.19/1.52  -> true
% 1.19/1.52  Current number of equations to process: 5
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 99
% 1.19/1.52  New rule produced :
% 1.19/1.52  [101]
% 1.19/1.52  closed_subset(topstr_closure(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A)),sK2_t51_tops_1_A)
% 1.19/1.52  -> true
% 1.19/1.52  Current number of equations to process: 5
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 100
% 1.19/1.52  New rule produced :
% 1.19/1.52  [102]
% 1.19/1.52  closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
% 1.19/1.52  -> true
% 1.19/1.52  Current number of equations to process: 6
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 101
% 1.19/1.52  New rule produced :
% 1.19/1.52  [103]
% 1.19/1.52  closed_subset(topstr_closure(sK2_t51_tops_1_A,sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A)
% 1.19/1.52  -> true
% 1.19/1.52  Current number of equations to process: 6
% 1.19/1.52  Current number of ordered equations: 0
% 1.19/1.52  Current number of rules: 102
% 1.19/1.52  New rule produced :
% 1.19/1.52  [104]
% 1.19/1.52  closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.52                                                sK4_existence_m1_subset_1_B(
% 1.19/1.52                                                powerset(the_carrier(sK2_t51_tops_1_A))))),sK2_t51_tops_1_A)
% 1.19/1.54  -> true
% 1.19/1.54  Current number of equations to process: 5
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 103
% 1.19/1.54  New rule produced :
% 1.19/1.54  [105]
% 1.19/1.54  closed_subset(topstr_closure(sK2_t51_tops_1_A,sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A)
% 1.19/1.54  -> true
% 1.19/1.54  Current number of equations to process: 5
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 104
% 1.19/1.54  New rule produced :
% 1.19/1.54  [106]
% 1.19/1.54  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.19/1.54                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.19/1.54                                                           sK4_existence_m1_subset_1_B(
% 1.19/1.54                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),sK5_existence_l1_pre_topc_A),true)
% 1.19/1.54  -> true
% 1.19/1.54  Current number of equations to process: 5
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 105
% 1.19/1.54  New rule produced :
% 1.19/1.54  [107]
% 1.19/1.54  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.19/1.54                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.19/1.54                                                           the_carrier(sK5_existence_l1_pre_topc_A)),sK5_existence_l1_pre_topc_A),true)
% 1.19/1.54  -> true
% 1.19/1.54  Current number of equations to process: 5
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 106
% 1.19/1.54  New rule produced :
% 1.19/1.54  [108]
% 1.19/1.54  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.19/1.54                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.19/1.54                                                           subset_complement(
% 1.19/1.54                                                           the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.54                                                           sK4_existence_m1_subset_1_B(
% 1.19/1.54                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A))))),sK5_existence_l1_pre_topc_A),true)
% 1.19/1.54  -> true
% 1.19/1.54  Current number of equations to process: 5
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 107
% 1.19/1.54  New rule produced :
% 1.19/1.54  [109]
% 1.19/1.54  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.19/1.54                                                             subset_complement(
% 1.19/1.54                                                             the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.54                                                             sK4_existence_m1_subset_1_B(
% 1.19/1.54                                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A))))))
% 1.19/1.54  ->
% 1.19/1.54  interior(sK5_existence_l1_pre_topc_A,sK4_existence_m1_subset_1_B(powerset(
% 1.19/1.54                                                                   the_carrier(sK5_existence_l1_pre_topc_A))))
% 1.19/1.54  Current number of equations to process: 5
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 108
% 1.19/1.54  New rule produced :
% 1.19/1.54  [110]
% 1.19/1.54  ifeq(open_subset(the_carrier(A),A),true,ifeq(topological_space(A),true,
% 1.19/1.54                                          ifeq(top_str(A),true,closed_subset(
% 1.19/1.54                                                               subset_complement(
% 1.19/1.54                                                               the_carrier(A),
% 1.19/1.54                                                               the_carrier(A)),A),true),true),true)
% 1.19/1.54  -> true
% 1.19/1.54  Current number of equations to process: 4
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 109
% 1.19/1.54  New rule produced :
% 1.19/1.54  [111]
% 1.19/1.54  ifeq(closed_subset(the_carrier(A),A),true,ifeq(topological_space(A),true,
% 1.19/1.54                                            ifeq(top_str(A),true,open_subset(
% 1.19/1.54                                                                 subset_complement(
% 1.19/1.54                                                                 the_carrier(A),
% 1.19/1.54                                                                 the_carrier(A)),A),true),true),true)
% 1.19/1.54  -> true
% 1.19/1.54  Current number of equations to process: 3
% 1.19/1.54  Current number of ordered equations: 0
% 1.19/1.54  Current number of rules: 110
% 1.19/1.54  New rule produced :
% 1.19/1.54  [112]
% 1.19/1.54  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.19/1.55                                                             subset_complement(
% 1.19/1.55                                                             the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.55                                                             the_carrier(sK5_existence_l1_pre_topc_A))))
% 1.19/1.55  ->
% 1.19/1.55  interior(sK5_existence_l1_pre_topc_A,the_carrier(sK5_existence_l1_pre_topc_A))
% 1.19/1.55  Current number of equations to process: 3
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 111
% 1.19/1.55  New rule produced :
% 1.19/1.55  [113]
% 1.19/1.55  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.19/1.55                                                             sK4_existence_m1_subset_1_B(
% 1.19/1.55                                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A)))))
% 1.19/1.55  ->
% 1.19/1.55  interior(sK5_existence_l1_pre_topc_A,subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.55                                       sK4_existence_m1_subset_1_B(powerset(
% 1.19/1.55                                                                   the_carrier(sK5_existence_l1_pre_topc_A)))))
% 1.19/1.55  Current number of equations to process: 3
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 112
% 1.19/1.55  New rule produced :
% 1.19/1.55  [114]
% 1.19/1.55  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.19/1.55                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
% 1.19/1.55  -> interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
% 1.19/1.55  Current number of equations to process: 4
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 113
% 1.19/1.55  New rule produced :
% 1.19/1.55  [115]
% 1.19/1.55  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.19/1.55                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.55                                                  sK4_existence_m1_subset_1_B(
% 1.19/1.55                                                  powerset(the_carrier(sK2_t51_tops_1_A))))))
% 1.19/1.55  ->
% 1.19/1.55  interior(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(powerset(the_carrier(sK2_t51_tops_1_A))))
% 1.19/1.55  Current number of equations to process: 3
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 114
% 1.19/1.55  New rule produced :
% 1.19/1.55  [116]
% 1.19/1.55  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.19/1.55                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.55                                                  the_carrier(sK2_t51_tops_1_A))))
% 1.19/1.55  -> interior(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A))
% 1.19/1.55  Current number of equations to process: 3
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 115
% 1.19/1.55  New rule produced :
% 1.19/1.55  [117]
% 1.19/1.55  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.19/1.55                                                  sK4_existence_m1_subset_1_B(
% 1.19/1.55                                                  powerset(the_carrier(sK2_t51_tops_1_A)))))
% 1.19/1.55  ->
% 1.19/1.55  interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.55                            sK4_existence_m1_subset_1_B(powerset(the_carrier(sK2_t51_tops_1_A)))))
% 1.19/1.55  Current number of equations to process: 3
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 116
% 1.19/1.55  New rule produced :
% 1.19/1.55  [118]
% 1.19/1.55  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
% 1.19/1.55  ->
% 1.19/1.55  interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
% 1.19/1.55  Current number of equations to process: 3
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 117
% 1.19/1.55  New rule produced :
% 1.19/1.55  [119]
% 1.19/1.55  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.19/1.55                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.55                                                  sK7_rc6_pre_topc_B(sK2_t51_tops_1_A))))
% 1.19/1.55  -> interior(sK2_t51_tops_1_A,sK7_rc6_pre_topc_B(sK2_t51_tops_1_A))
% 1.19/1.55  Current number of equations to process: 3
% 1.19/1.55  Current number of ordered equations: 0
% 1.19/1.55  Current number of rules: 118
% 1.19/1.55  New rule produced :
% 1.19/1.55  [120]
% 1.19/1.55  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.19/1.57                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.19/1.57                                                  sK3_rc1_tops_1_B(sK2_t51_tops_1_A))))
% 1.19/1.57  -> interior(sK2_t51_tops_1_A,sK3_rc1_tops_1_B(sK2_t51_tops_1_A))
% 1.19/1.57  Current number of equations to process: 3
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 119
% 1.19/1.57  New rule produced :
% 1.19/1.57  [121]
% 1.19/1.57  ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,
% 1.19/1.57                                                         sK4_existence_m1_subset_1_B(
% 1.19/1.57                                                         powerset(the_carrier(A))))),
% 1.19/1.57  interior(A,subset_complement(the_carrier(A),sK4_existence_m1_subset_1_B(
% 1.19/1.57                                              powerset(the_carrier(A)))))) ->
% 1.19/1.57  interior(A,subset_complement(the_carrier(A),sK4_existence_m1_subset_1_B(
% 1.19/1.57                                              powerset(the_carrier(A)))))
% 1.19/1.57  Current number of equations to process: 2
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 120
% 1.19/1.57  New rule produced :
% 1.19/1.57  [122]
% 1.19/1.57  ifeq(open_subset(sK1_t51_tops_1_B,sK2_t51_tops_1_A),true,closed_subset(
% 1.19/1.57                                                           subset_complement(
% 1.19/1.57                                                           the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
% 1.19/1.57  -> true
% 1.19/1.57  Current number of equations to process: 3
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 121
% 1.19/1.57  New rule produced :
% 1.19/1.57  [123]
% 1.19/1.57  ifeq(open_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A),true,
% 1.19/1.57  closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK4_existence_m1_subset_1_B(
% 1.19/1.57                                                                powerset(
% 1.19/1.57                                                                the_carrier(sK2_t51_tops_1_A)))),sK2_t51_tops_1_A),true)
% 1.19/1.57  -> true
% 1.19/1.57  Current number of equations to process: 2
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 122
% 1.19/1.57  New rule produced :
% 1.19/1.57  [124]
% 1.19/1.57  ifeq(open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),sK2_t51_tops_1_A),true,
% 1.19/1.57  closed_subset(sK1_t51_tops_1_B,sK2_t51_tops_1_A),true) -> true
% 1.19/1.57  Current number of equations to process: 4
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 123
% 1.19/1.57  New rule produced :
% 1.19/1.57  [125]
% 1.19/1.57  ifeq(open_subset(the_carrier(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true,
% 1.19/1.57  closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),the_carrier(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true)
% 1.19/1.57  -> true
% 1.19/1.57  Current number of equations to process: 3
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 124
% 1.19/1.57  New rule produced :
% 1.19/1.57  [126]
% 1.19/1.57  closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A)
% 1.19/1.57  -> true
% 1.19/1.57  Current number of equations to process: 3
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 125
% 1.19/1.57  New rule produced :
% 1.19/1.57  [127]
% 1.19/1.57  ifeq(open_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true,
% 1.19/1.57  closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true)
% 1.19/1.57  -> true
% 1.19/1.57  Current number of equations to process: 3
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 126
% 1.19/1.57  New rule produced :
% 1.19/1.57  [128]
% 1.19/1.57  ifeq(open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK4_existence_m1_subset_1_B(
% 1.19/1.57                                                                   powerset(
% 1.19/1.57                                                                   the_carrier(sK2_t51_tops_1_A)))),sK2_t51_tops_1_A),true,
% 1.19/1.57  closed_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A),true)
% 1.19/1.57  -> true
% 1.19/1.57  Current number of equations to process: 2
% 1.19/1.57  Current number of ordered equations: 0
% 1.19/1.57  Current number of rules: 127
% 1.19/1.57  New rule produced :
% 1.19/1.57  [129]
% 1.19/1.57  ifeq(open_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(sK5_existence_l1_pre_topc_A))),sK5_existence_l1_pre_topc_A),true,
% 1.19/1.57  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.19/1.57                                                           subset_complement(
% 1.19/1.59                                                           the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.59                                                           sK4_existence_m1_subset_1_B(
% 1.19/1.59                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),sK5_existence_l1_pre_topc_A),true),true)
% 1.19/1.59  -> true
% 1.19/1.59  Current number of equations to process: 2
% 1.19/1.59  Current number of ordered equations: 0
% 1.19/1.59  Current number of rules: 128
% 1.19/1.59  New rule produced :
% 1.19/1.59  [130]
% 1.19/1.59  ifeq(open_subset(the_carrier(sK5_existence_l1_pre_topc_A),sK5_existence_l1_pre_topc_A),true,
% 1.19/1.59  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.19/1.59                                                           subset_complement(
% 1.19/1.59                                                           the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.59                                                           the_carrier(sK5_existence_l1_pre_topc_A)),sK5_existence_l1_pre_topc_A),true),true)
% 1.19/1.59  -> true
% 1.19/1.59  Current number of equations to process: 3
% 1.19/1.59  Current number of ordered equations: 0
% 1.19/1.59  Current number of rules: 129
% 1.19/1.59  New rule produced :
% 1.19/1.59  [131]
% 1.19/1.59  ifeq(open_subset(subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.19/1.59                   sK4_existence_m1_subset_1_B(powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),sK5_existence_l1_pre_topc_A),true,
% 1.19/1.59  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.19/1.59                                                           sK4_existence_m1_subset_1_B(
% 1.19/1.59                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A))),sK5_existence_l1_pre_topc_A),true),true)
% 1.19/1.59  -> true
% 1.19/1.59  Current number of equations to process: 2
% 1.19/1.59  Current number of ordered equations: 0
% 1.19/1.59  Current number of rules: 130
% 1.19/1.59  New rule produced :
% 1.19/1.59  [132]
% 1.19/1.59  ifeq(open_subset(subset_complement(the_carrier(A),sK4_existence_m1_subset_1_B(
% 1.19/1.59                                                    powerset(the_carrier(A)))),A),true,
% 1.19/1.59  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(sK4_existence_m1_subset_1_B(
% 1.19/1.59                                                                    powerset(
% 1.19/1.59                                                                    the_carrier(A))),A),true),true),true)
% 1.19/1.59  -> true
% 1.19/1.59  Current number of equations to process: 1
% 1.19/1.59  Current number of ordered equations: 0
% 1.19/1.59  Current number of rules: 131
% 1.19/1.59  New rule produced :
% 1.19/1.59  [133]
% 1.19/1.59  ifeq(closed_subset(subset_complement(the_carrier(A),sK4_existence_m1_subset_1_B(
% 1.19/1.59                                                      powerset(the_carrier(A)))),A),true,
% 1.19/1.59  ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(sK4_existence_m1_subset_1_B(
% 1.19/1.59                                                                  powerset(
% 1.19/1.59                                                                  the_carrier(A))),A),true),true),true)
% 1.19/1.59  -> true
% 1.19/1.59  Current number of equations to process: 0
% 1.19/1.59  Current number of ordered equations: 0
% 1.19/1.59  Current number of rules: 132
% 1.19/1.59  New rule produced :
% 1.19/1.59  [134]
% 1.19/1.59  ifeq(closed_subset(sK1_t51_tops_1_B,sK2_t51_tops_1_A),true,open_subset(
% 1.19/1.59                                                             subset_complement(
% 1.19/1.59                                                             the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
% 1.19/1.59  -> true
% 1.19/1.59  Current number of equations to process: 1
% 1.19/1.59  Current number of ordered equations: 0
% 1.19/1.59  Current number of rules: 133
% 1.19/1.59  New rule produced :
% 1.19/1.59  [135]
% 1.19/1.59  ifeq(closed_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A),true,
% 1.19/1.59  open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK4_existence_m1_subset_1_B(
% 1.19/1.59                                                              powerset(
% 1.19/1.59                                                              the_carrier(sK2_t51_tops_1_A)))),sK2_t51_tops_1_A),true)
% 1.19/1.59  -> true
% 1.19/1.59  Current number of equations to process: 0
% 1.19/1.59  Current number of ordered equations: 0
% 1.19/1.59  Current number of rules: 134
% 1.19/1.59  New rule produced :
% 1.19/1.59  [136]
% 1.19/1.59  ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),sK2_t51_tops_1_A),true,
% 1.19/1.59  open_subset(sK1_t51_tops_1_B,sK2_t51_tops_1_A),true) -> true
% 1.19/1.59  Current number of equations to process: 2
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 135
% 1.37/1.61  New rule produced :
% 1.37/1.61  [137]
% 1.37/1.61  open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A)
% 1.37/1.61  -> true
% 1.37/1.61  Current number of equations to process: 2
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 136
% 1.37/1.61  New rule produced :
% 1.37/1.61  [138]
% 1.37/1.61  ifeq(closed_subset(the_carrier(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true,
% 1.37/1.61  open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),the_carrier(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true)
% 1.37/1.61  -> true
% 1.37/1.61  Current number of equations to process: 1
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 137
% 1.37/1.61  New rule produced :
% 1.37/1.61  [139]
% 1.37/1.61  ifeq(closed_subset(sK3_rc1_tops_1_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true,
% 1.37/1.61  open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true)
% 1.37/1.61  -> true
% 1.37/1.61  Current number of equations to process: 1
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 138
% 1.37/1.61  New rule produced :
% 1.37/1.61  [140]
% 1.37/1.61  ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK4_existence_m1_subset_1_B(
% 1.37/1.61                                                                     powerset(
% 1.37/1.61                                                                     the_carrier(sK2_t51_tops_1_A)))),sK2_t51_tops_1_A),true,
% 1.37/1.61  open_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A),true)
% 1.37/1.61  -> true
% 1.37/1.61  Current number of equations to process: 0
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 139
% 1.37/1.61  New rule produced :
% 1.37/1.61  [141]
% 1.37/1.61  ifeq(closed_subset(sK4_existence_m1_subset_1_B(powerset(the_carrier(sK5_existence_l1_pre_topc_A))),sK5_existence_l1_pre_topc_A),true,
% 1.37/1.61  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,open_subset(
% 1.37/1.61                                                           subset_complement(
% 1.37/1.61                                                           the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.61                                                           sK4_existence_m1_subset_1_B(
% 1.37/1.61                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),sK5_existence_l1_pre_topc_A),true),true)
% 1.37/1.61  -> true
% 1.37/1.61  Current number of equations to process: 0
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 140
% 1.37/1.61  New rule produced :
% 1.37/1.61  [142]
% 1.37/1.61  ifeq(closed_subset(the_carrier(sK5_existence_l1_pre_topc_A),sK5_existence_l1_pre_topc_A),true,
% 1.37/1.61  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,open_subset(
% 1.37/1.61                                                           subset_complement(
% 1.37/1.61                                                           the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.61                                                           the_carrier(sK5_existence_l1_pre_topc_A)),sK5_existence_l1_pre_topc_A),true),true)
% 1.37/1.61  -> true
% 1.37/1.61  Current number of equations to process: 1
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 141
% 1.37/1.61  New rule produced :
% 1.37/1.61  [143]
% 1.37/1.61  ifeq(closed_subset(subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.61                     sK4_existence_m1_subset_1_B(powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),sK5_existence_l1_pre_topc_A),true,
% 1.37/1.61  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,open_subset(
% 1.37/1.61                                                           sK4_existence_m1_subset_1_B(
% 1.37/1.61                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A))),sK5_existence_l1_pre_topc_A),true),true)
% 1.37/1.61  -> true
% 1.37/1.61  Current number of equations to process: 0
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.61  Current number of rules: 142
% 1.37/1.61  New rule produced :
% 1.37/1.61  [144]
% 1.37/1.61  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.37/1.61                                                             the_carrier(sK5_existence_l1_pre_topc_A)))
% 1.37/1.61  ->
% 1.37/1.61  interior(sK5_existence_l1_pre_topc_A,subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.61                                       the_carrier(sK5_existence_l1_pre_topc_A)))
% 1.37/1.61  Current number of equations to process: 3
% 1.37/1.61  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 143
% 1.37/1.64  New rule produced :
% 1.37/1.64  [145]
% 1.37/1.64  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.37/1.64                                                  the_carrier(sK2_t51_tops_1_A)))
% 1.37/1.64  ->
% 1.37/1.64  interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.37/1.64                            the_carrier(sK2_t51_tops_1_A)))
% 1.37/1.64  Current number of equations to process: 3
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 144
% 1.37/1.64  New rule produced :
% 1.37/1.64  [146]
% 1.37/1.64  ifeq(open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),the_carrier(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true,
% 1.37/1.64  closed_subset(the_carrier(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true) -> true
% 1.37/1.64  Current number of equations to process: 3
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 145
% 1.37/1.64  New rule produced :
% 1.37/1.64  [147]
% 1.37/1.64  ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),the_carrier(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true,
% 1.37/1.64  open_subset(the_carrier(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true) -> true
% 1.37/1.64  Current number of equations to process: 4
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 146
% 1.37/1.64  New rule produced : [148] subset(subset_complement(A,A),A) -> true
% 1.37/1.64  Current number of equations to process: 5
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 147
% 1.37/1.64  New rule produced :
% 1.37/1.64  [149]
% 1.37/1.64  ifeq(top_str(A),true,element(topstr_closure(A,subset_complement(the_carrier(A),
% 1.37/1.64                                                the_carrier(A))),powerset(
% 1.37/1.64                                                                 the_carrier(A))),true)
% 1.37/1.64  -> true
% 1.37/1.64  Current number of equations to process: 7
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 148
% 1.37/1.64  New rule produced :
% 1.37/1.64  [150]
% 1.37/1.64  ifeq(top_str(A),true,element(interior(A,subset_complement(the_carrier(A),
% 1.37/1.64                                          the_carrier(A))),powerset(the_carrier(A))),true)
% 1.37/1.64  -> true
% 1.37/1.64  Current number of equations to process: 6
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 149
% 1.37/1.64  New rule produced :
% 1.37/1.64  [151]
% 1.37/1.64  closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.37/1.64                                                the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A)
% 1.37/1.64  -> true
% 1.37/1.64  Current number of equations to process: 10
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 150
% 1.37/1.64  New rule produced :
% 1.37/1.64  [152]
% 1.37/1.64  element(topstr_closure(sK5_existence_l1_pre_topc_A,subset_complement(
% 1.37/1.64                                                     the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.64                                                     the_carrier(sK5_existence_l1_pre_topc_A))),
% 1.37/1.64  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.37/1.64  Current number of equations to process: 9
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 151
% 1.37/1.64  New rule produced :
% 1.37/1.64  [153]
% 1.37/1.64  element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.37/1.64                                          the_carrier(sK2_t51_tops_1_A))),
% 1.37/1.64  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.37/1.64  Current number of equations to process: 8
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 152
% 1.37/1.64  New rule produced :
% 1.37/1.64  [154]
% 1.37/1.64  element(interior(sK5_existence_l1_pre_topc_A,subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.64                                               the_carrier(sK5_existence_l1_pre_topc_A))),
% 1.37/1.64  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.37/1.64  Current number of equations to process: 7
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 153
% 1.37/1.64  New rule produced :
% 1.37/1.64  [155]
% 1.37/1.64  element(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.37/1.64                                    the_carrier(sK2_t51_tops_1_A))),powerset(
% 1.37/1.64                                                                    the_carrier(sK2_t51_tops_1_A)))
% 1.37/1.64  -> true
% 1.37/1.64  Current number of equations to process: 6
% 1.37/1.64  Current number of ordered equations: 0
% 1.37/1.64  Current number of rules: 154
% 1.37/1.64  New rule produced :
% 1.37/1.64  [156]
% 1.37/1.64  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.37/1.64                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.37/1.68                                                           subset_complement(
% 1.37/1.68                                                           the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.68                                                           the_carrier(sK5_existence_l1_pre_topc_A))),sK5_existence_l1_pre_topc_A),true)
% 1.37/1.68  -> true
% 1.37/1.68  Current number of equations to process: 6
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 155
% 1.37/1.68  New rule produced :
% 1.37/1.68  [157]
% 1.37/1.68  ifeq(open_subset(subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.68                   the_carrier(sK5_existence_l1_pre_topc_A)),sK5_existence_l1_pre_topc_A),true,
% 1.37/1.68  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.37/1.68                                                           the_carrier(sK5_existence_l1_pre_topc_A),sK5_existence_l1_pre_topc_A),true),true)
% 1.37/1.68  -> true
% 1.37/1.68  Current number of equations to process: 5
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 156
% 1.37/1.68  New rule produced :
% 1.37/1.68  [158]
% 1.37/1.68  ifeq(closed_subset(subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.37/1.68                     the_carrier(sK5_existence_l1_pre_topc_A)),sK5_existence_l1_pre_topc_A),true,
% 1.37/1.68  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,open_subset(
% 1.37/1.68                                                           the_carrier(sK5_existence_l1_pre_topc_A),sK5_existence_l1_pre_topc_A),true),true)
% 1.37/1.68  -> true
% 1.37/1.68  Current number of equations to process: 4
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 157
% 1.37/1.68  New rule produced :
% 1.37/1.68  [159]
% 1.37/1.68  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(topstr_closure(A,
% 1.37/1.68                                                                    subset_complement(
% 1.37/1.68                                                                    the_carrier(A),
% 1.37/1.68                                                                    the_carrier(A))),A),true),true)
% 1.37/1.68  -> true
% 1.37/1.68  Current number of equations to process: 3
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 158
% 1.37/1.68  New rule produced :
% 1.37/1.68  [160]
% 1.37/1.68  ifeq2(top_str(A),true,subset_complement(the_carrier(A),topstr_closure(A,
% 1.37/1.68                                                         the_carrier(A))),
% 1.37/1.68  interior(A,subset_complement(the_carrier(A),the_carrier(A)))) ->
% 1.37/1.68  interior(A,subset_complement(the_carrier(A),the_carrier(A)))
% 1.37/1.68  Current number of equations to process: 2
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 159
% 1.37/1.68  New rule produced :
% 1.37/1.68  [161]
% 1.37/1.68  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.37/1.68                                                  sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)))
% 1.37/1.68  ->
% 1.37/1.68  interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.37/1.68                            sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)))
% 1.37/1.68  Current number of equations to process: 2
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 160
% 1.37/1.68  New rule produced :
% 1.37/1.68  [162]
% 1.37/1.68  ifeq(closed_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true,
% 1.37/1.68  open_subset(sK7_rc6_pre_topc_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true) ->
% 1.37/1.68  true
% 1.37/1.68  Current number of equations to process: 2
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 161
% 1.37/1.68  New rule produced :
% 1.37/1.68  [163]
% 1.37/1.68  subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK7_rc6_pre_topc_B(sK2_t51_tops_1_A)),
% 1.37/1.68  the_carrier(sK2_t51_tops_1_A)) -> true
% 1.37/1.68  Current number of equations to process: 2
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 162
% 1.37/1.68  New rule produced :
% 1.37/1.68  [164]
% 1.37/1.68  element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.37/1.68                                          sK7_rc6_pre_topc_B(sK2_t51_tops_1_A))),
% 1.37/1.68  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.37/1.68  Current number of equations to process: 2
% 1.37/1.68  Current number of ordered equations: 0
% 1.37/1.68  Current number of rules: 163
% 1.37/1.68  New rule produced :
% 1.37/1.68  [165]
% 1.37/1.68  element(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.37/1.68                                    sK7_rc6_pre_topc_B(sK2_t51_tops_1_A))),
% 1.37/1.68  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.37/1.68  Current number of equations to process: 2
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 164
% 1.45/1.72  New rule produced :
% 1.45/1.72  [166]
% 1.45/1.72  closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.45/1.72                                                sK7_rc6_pre_topc_B(sK2_t51_tops_1_A))),sK2_t51_tops_1_A)
% 1.45/1.72  -> true
% 1.45/1.72  Current number of equations to process: 2
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 165
% 1.45/1.72  New rule produced :
% 1.45/1.72  [167]
% 1.45/1.72  ifeq(open_subset(subset_complement(the_carrier(A),the_carrier(A)),A),true,
% 1.45/1.72  ifeq(topological_space(A),true,ifeq(top_str(A),true,closed_subset(the_carrier(A),A),true),true),true)
% 1.45/1.72  -> true
% 1.45/1.72  Current number of equations to process: 1
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 166
% 1.45/1.72  New rule produced :
% 1.45/1.72  [168]
% 1.45/1.72  ifeq(closed_subset(subset_complement(the_carrier(A),the_carrier(A)),A),true,
% 1.45/1.72  ifeq(topological_space(A),true,ifeq(top_str(A),true,open_subset(the_carrier(A),A),true),true),true)
% 1.45/1.72  -> true
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 167
% 1.45/1.72  New rule produced :
% 1.45/1.72  [169]
% 1.45/1.72  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.45/1.72                                                  sK3_rc1_tops_1_B(sK2_t51_tops_1_A)))
% 1.45/1.72  ->
% 1.45/1.72  interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.45/1.72                            sK3_rc1_tops_1_B(sK2_t51_tops_1_A)))
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 168
% 1.45/1.72  New rule produced :
% 1.45/1.72  [170]
% 1.45/1.72  ifeq(open_subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true,
% 1.45/1.72  closed_subset(sK3_rc1_tops_1_B(sK2_t51_tops_1_A),sK2_t51_tops_1_A),true) ->
% 1.45/1.72  true
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 169
% 1.45/1.72  New rule produced :
% 1.45/1.72  [171]
% 1.45/1.72  subset(subset_complement(the_carrier(sK2_t51_tops_1_A),sK3_rc1_tops_1_B(sK2_t51_tops_1_A)),
% 1.45/1.72  the_carrier(sK2_t51_tops_1_A)) -> true
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 170
% 1.45/1.72  New rule produced :
% 1.45/1.72  [172]
% 1.45/1.72  element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.45/1.72                                          sK3_rc1_tops_1_B(sK2_t51_tops_1_A))),
% 1.45/1.72  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 171
% 1.45/1.72  New rule produced :
% 1.45/1.72  [173]
% 1.45/1.72  element(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.45/1.72                                    sK3_rc1_tops_1_B(sK2_t51_tops_1_A))),
% 1.45/1.72  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 172
% 1.45/1.72  New rule produced :
% 1.45/1.72  [174]
% 1.45/1.72  closed_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.45/1.72                                                sK3_rc1_tops_1_B(sK2_t51_tops_1_A))),sK2_t51_tops_1_A)
% 1.45/1.72  -> true
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 173
% 1.45/1.72  New rule produced :
% 1.45/1.72  [175]
% 1.45/1.72  subset(topstr_closure(sK5_existence_l1_pre_topc_A,sK4_existence_m1_subset_1_B(
% 1.45/1.72                                                    powerset(the_carrier(sK5_existence_l1_pre_topc_A)))),
% 1.45/1.72  the_carrier(sK5_existence_l1_pre_topc_A)) -> true
% 1.45/1.72  Current number of equations to process: 0
% 1.45/1.72  Current number of ordered equations: 0
% 1.45/1.72  Current number of rules: 174
% 1.45/1.72  New rule produced :
% 1.45/1.72  [176]
% 1.45/1.72  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),interior(sK5_existence_l1_pre_topc_A,
% 1.45/1.72                                                             subset_complement(
% 1.45/1.72                                                             the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.72                                                             sK4_existence_m1_subset_1_B(
% 1.45/1.72                                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A))))))
% 1.45/1.72  ->
% 1.45/1.72  topstr_closure(sK5_existence_l1_pre_topc_A,sK4_existence_m1_subset_1_B(
% 1.45/1.72                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A))))
% 1.45/1.75  Current number of equations to process: 0
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 175
% 1.45/1.75  New rule produced :
% 1.45/1.75  [177]
% 1.45/1.75  element(topstr_closure(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                                     sK4_existence_m1_subset_1_B(
% 1.45/1.75                                                     powerset(the_carrier(sK5_existence_l1_pre_topc_A))))),
% 1.45/1.75  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.45/1.75  Current number of equations to process: 0
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 176
% 1.45/1.75  New rule produced :
% 1.45/1.75  [178]
% 1.45/1.75  element(interior(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                               sK4_existence_m1_subset_1_B(
% 1.45/1.75                                               powerset(the_carrier(sK5_existence_l1_pre_topc_A))))),
% 1.45/1.75  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.45/1.75  Current number of equations to process: 0
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 177
% 1.45/1.75  New rule produced :
% 1.45/1.75  [179]
% 1.45/1.75  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.45/1.75                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                                           sK4_existence_m1_subset_1_B(
% 1.45/1.75                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A))))),sK5_existence_l1_pre_topc_A),true)
% 1.45/1.75  -> true
% 1.45/1.75  Current number of equations to process: 1
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 178
% 1.45/1.75  New rule produced :
% 1.45/1.75  [180]
% 1.45/1.75  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                                             interior(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                                             subset_complement(
% 1.45/1.75                                                             the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.75                                                             sK4_existence_m1_subset_1_B(
% 1.45/1.75                                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A)))))))
% 1.45/1.75  ->
% 1.45/1.75  interior(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                       sK4_existence_m1_subset_1_B(powerset(
% 1.45/1.75                                                                   the_carrier(sK5_existence_l1_pre_topc_A)))))
% 1.45/1.75  Current number of equations to process: 1
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 179
% 1.45/1.75  New rule produced :
% 1.45/1.75  [181]
% 1.45/1.75  subset(topstr_closure(sK5_existence_l1_pre_topc_A,the_carrier(sK5_existence_l1_pre_topc_A)),
% 1.45/1.75  the_carrier(sK5_existence_l1_pre_topc_A)) -> true
% 1.45/1.75  Current number of equations to process: 2
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 180
% 1.45/1.75  New rule produced :
% 1.45/1.75  [182]
% 1.45/1.75  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),interior(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                                             subset_complement(
% 1.45/1.75                                                             the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.75                                                             the_carrier(sK5_existence_l1_pre_topc_A))))
% 1.45/1.75  ->
% 1.45/1.75  topstr_closure(sK5_existence_l1_pre_topc_A,the_carrier(sK5_existence_l1_pre_topc_A))
% 1.45/1.75  Current number of equations to process: 2
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 181
% 1.45/1.75  New rule produced :
% 1.45/1.75  [183]
% 1.45/1.75  element(topstr_closure(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.75                                                     the_carrier(sK5_existence_l1_pre_topc_A))),
% 1.45/1.75  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.45/1.75  Current number of equations to process: 2
% 1.45/1.75  Current number of ordered equations: 0
% 1.45/1.75  Current number of rules: 182
% 1.45/1.75  New rule produced :
% 1.45/1.75  [184]
% 1.45/1.75  element(interior(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.77                                               the_carrier(sK5_existence_l1_pre_topc_A))),
% 1.45/1.77  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.45/1.77  Current number of equations to process: 2
% 1.45/1.77  Current number of ordered equations: 0
% 1.45/1.77  Current number of rules: 183
% 1.45/1.77  New rule produced :
% 1.45/1.77  [185]
% 1.45/1.77  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.45/1.77                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.77                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.77                                                           the_carrier(sK5_existence_l1_pre_topc_A))),sK5_existence_l1_pre_topc_A),true)
% 1.45/1.77  -> true
% 1.45/1.77  Current number of equations to process: 2
% 1.45/1.77  Current number of ordered equations: 0
% 1.45/1.77  Current number of rules: 184
% 1.45/1.77  New rule produced :
% 1.45/1.77  [186]
% 1.45/1.77  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.77                                                             interior(sK5_existence_l1_pre_topc_A,
% 1.45/1.78                                                             subset_complement(
% 1.45/1.78                                                             the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.78                                                             the_carrier(sK5_existence_l1_pre_topc_A)))))
% 1.45/1.78  ->
% 1.45/1.78  interior(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.78                                       the_carrier(sK5_existence_l1_pre_topc_A)))
% 1.45/1.78  Current number of equations to process: 2
% 1.45/1.78  Current number of ordered equations: 0
% 1.45/1.78  Current number of rules: 185
% 1.45/1.78  New rule produced :
% 1.45/1.78  [187]
% 1.45/1.78  subset(topstr_closure(sK5_existence_l1_pre_topc_A,subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.78                                                    sK4_existence_m1_subset_1_B(
% 1.45/1.78                                                    powerset(the_carrier(sK5_existence_l1_pre_topc_A))))),
% 1.45/1.78  the_carrier(sK5_existence_l1_pre_topc_A)) -> true
% 1.45/1.78  Current number of equations to process: 5
% 1.45/1.78  Current number of ordered equations: 0
% 1.45/1.78  Current number of rules: 186
% 1.45/1.78  New rule produced :
% 1.45/1.78  [188]
% 1.45/1.78  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),interior(sK5_existence_l1_pre_topc_A,
% 1.45/1.78                                                             sK4_existence_m1_subset_1_B(
% 1.45/1.78                                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A)))))
% 1.45/1.78  ->
% 1.45/1.78  topstr_closure(sK5_existence_l1_pre_topc_A,subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.78                                             sK4_existence_m1_subset_1_B(
% 1.45/1.78                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A)))))
% 1.45/1.78  Current number of equations to process: 5
% 1.45/1.78  Current number of ordered equations: 0
% 1.45/1.78  Current number of rules: 187
% 1.45/1.78  New rule produced :
% 1.45/1.78  [189]
% 1.45/1.78  element(topstr_closure(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.78                                                     subset_complement(
% 1.45/1.78                                                     the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.78                                                     sK4_existence_m1_subset_1_B(
% 1.45/1.78                                                     powerset(the_carrier(sK5_existence_l1_pre_topc_A)))))),
% 1.45/1.78  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.45/1.78  Current number of equations to process: 5
% 1.45/1.78  Current number of ordered equations: 0
% 1.45/1.78  Current number of rules: 188
% 1.45/1.78  New rule produced :
% 1.45/1.78  [190]
% 1.45/1.78  element(interior(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.45/1.78                                               subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.45/1.78                                               sK4_existence_m1_subset_1_B(
% 1.45/1.78                                               powerset(the_carrier(sK5_existence_l1_pre_topc_A)))))),
% 1.45/1.78  powerset(the_carrier(sK5_existence_l1_pre_topc_A))) -> true
% 1.45/1.78  Current number of equations to process: 4
% 1.45/1.78  Current number of ordered equations: 0
% 1.45/1.78  Current number of rules: 189
% 1.45/1.78  New rule produced :
% 1.45/1.78  [191]
% 1.45/1.78  subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.56/1.80                                                             interior(sK5_existence_l1_pre_topc_A,
% 1.56/1.80                                                             sK4_existence_m1_subset_1_B(
% 1.56/1.80                                                             powerset(the_carrier(sK5_existence_l1_pre_topc_A))))))
% 1.56/1.80  ->
% 1.56/1.80  interior(sK5_existence_l1_pre_topc_A,topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.56/1.80                                       subset_complement(the_carrier(sK5_existence_l1_pre_topc_A),
% 1.56/1.80                                       sK4_existence_m1_subset_1_B(powerset(
% 1.56/1.80                                                                   the_carrier(sK5_existence_l1_pre_topc_A))))))
% 1.56/1.80  Current number of equations to process: 5
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 190
% 1.56/1.80  New rule produced :
% 1.56/1.80  [192]
% 1.56/1.80  ifeq(topological_space(sK5_existence_l1_pre_topc_A),true,closed_subset(
% 1.56/1.80                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.56/1.80                                                           topstr_closure(sK5_existence_l1_pre_topc_A,
% 1.56/1.80                                                           subset_complement(
% 1.56/1.80                                                           the_carrier(sK5_existence_l1_pre_topc_A),
% 1.56/1.80                                                           sK4_existence_m1_subset_1_B(
% 1.56/1.80                                                           powerset(the_carrier(sK5_existence_l1_pre_topc_A)))))),sK5_existence_l1_pre_topc_A),true)
% 1.56/1.80  -> true
% 1.56/1.80  Current number of equations to process: 4
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 191
% 1.56/1.80  New rule produced :
% 1.56/1.80  [193]
% 1.56/1.80  subset(topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B),the_carrier(sK2_t51_tops_1_A))
% 1.56/1.80  -> true
% 1.56/1.80  Current number of equations to process: 6
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 192
% 1.56/1.80  New rule produced :
% 1.56/1.80  [194]
% 1.56/1.80  subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,
% 1.56/1.80                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
% 1.56/1.80  -> topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B)
% 1.56/1.80  Current number of equations to process: 6
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 193
% 1.56/1.80  New rule produced :
% 1.56/1.80  [195]
% 1.56/1.80  element(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
% 1.56/1.80  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.56/1.80  Current number of equations to process: 6
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 194
% 1.56/1.80  New rule produced :
% 1.56/1.80  [196]
% 1.56/1.80  element(interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),
% 1.56/1.80  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.56/1.80  Current number of equations to process: 6
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 195
% 1.56/1.80  New rule produced :
% 1.56/1.80  [197]
% 1.56/1.80  closed_subset(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
% 1.56/1.80  -> true
% 1.56/1.80  Current number of equations to process: 6
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 196
% 1.56/1.80  New rule produced :
% 1.56/1.80  [198]
% 1.56/1.80  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.56/1.80                                                  interior(sK2_t51_tops_1_A,
% 1.56/1.80                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))))
% 1.56/1.80  ->
% 1.56/1.80  interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
% 1.56/1.80  Current number of equations to process: 6
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 197
% 1.56/1.80  New rule produced :
% 1.56/1.80  [199]
% 1.56/1.80  ifeq(open_subset(topstr_closure(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true,
% 1.56/1.80  closed_subset(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true)
% 1.56/1.80  -> true
% 1.56/1.80  Current number of equations to process: 6
% 1.56/1.80  Current number of ordered equations: 0
% 1.56/1.80  Current number of rules: 198
% 1.56/1.80  New rule produced :
% 1.56/1.80  [200]
% 1.56/1.80  open_subset(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A)
% 1.58/1.84  -> true
% 1.58/1.84  Current number of equations to process: 6
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 199
% 1.58/1.84  New rule produced :
% 1.58/1.84  [201]
% 1.58/1.84  subset(topstr_closure(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(powerset(
% 1.58/1.84                                                                     the_carrier(sK2_t51_tops_1_A)))),
% 1.58/1.84  the_carrier(sK2_t51_tops_1_A)) -> true
% 1.58/1.84  Current number of equations to process: 6
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 200
% 1.58/1.84  New rule produced :
% 1.58/1.84  [202]
% 1.58/1.84  subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,
% 1.58/1.84                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.58/1.84                                                  sK4_existence_m1_subset_1_B(
% 1.58/1.84                                                  powerset(the_carrier(sK2_t51_tops_1_A))))))
% 1.58/1.84  ->
% 1.58/1.84  topstr_closure(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(powerset(
% 1.58/1.84                                                              the_carrier(sK2_t51_tops_1_A))))
% 1.58/1.84  Current number of equations to process: 6
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 201
% 1.58/1.84  New rule produced :
% 1.58/1.84  [203]
% 1.58/1.84  element(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.84                                          sK4_existence_m1_subset_1_B(powerset(
% 1.58/1.84                                                                      the_carrier(sK2_t51_tops_1_A))))),
% 1.58/1.84  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.58/1.84  Current number of equations to process: 6
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 202
% 1.58/1.84  New rule produced :
% 1.58/1.84  [204]
% 1.58/1.84  element(interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(
% 1.58/1.84                                                                    powerset(
% 1.58/1.84                                                                    the_carrier(sK2_t51_tops_1_A))))),
% 1.58/1.84  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.58/1.84  Current number of equations to process: 6
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 203
% 1.58/1.84  New rule produced :
% 1.58/1.84  [205]
% 1.58/1.84  closed_subset(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.84                                                sK4_existence_m1_subset_1_B(
% 1.58/1.84                                                powerset(the_carrier(sK2_t51_tops_1_A))))),sK2_t51_tops_1_A)
% 1.58/1.84  -> true
% 1.58/1.84  Current number of equations to process: 6
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 204
% 1.58/1.84  New rule produced :
% 1.58/1.84  [206]
% 1.58/1.84  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.84                                                  interior(sK2_t51_tops_1_A,
% 1.58/1.84                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.58/1.84                                                  sK4_existence_m1_subset_1_B(
% 1.58/1.84                                                  powerset(the_carrier(sK2_t51_tops_1_A)))))))
% 1.58/1.84  ->
% 1.58/1.84  interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,sK4_existence_m1_subset_1_B(
% 1.58/1.84                                                            powerset(the_carrier(sK2_t51_tops_1_A)))))
% 1.58/1.84  Current number of equations to process: 7
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 205
% 1.58/1.84  New rule produced :
% 1.58/1.84  [207]
% 1.58/1.84  open_subset(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.58/1.84                                        sK4_existence_m1_subset_1_B(powerset(
% 1.58/1.84                                                                    the_carrier(sK2_t51_tops_1_A))))),sK2_t51_tops_1_A)
% 1.58/1.84  -> true
% 1.58/1.84  Current number of equations to process: 7
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 206
% 1.58/1.84  New rule produced :
% 1.58/1.84  [208]
% 1.58/1.84  subset(topstr_closure(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A)),
% 1.58/1.84  the_carrier(sK2_t51_tops_1_A)) -> true
% 1.58/1.84  Current number of equations to process: 7
% 1.58/1.84  Current number of ordered equations: 0
% 1.58/1.84  Current number of rules: 207
% 1.58/1.84  New rule produced :
% 1.58/1.84  [209]
% 1.58/1.84  subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,
% 1.58/1.84                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.58/1.84                                                  the_carrier(sK2_t51_tops_1_A))))
% 1.58/1.87  -> topstr_closure(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A))
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 208
% 1.58/1.87  New rule produced :
% 1.58/1.87  [210]
% 1.58/1.87  element(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.87                                          the_carrier(sK2_t51_tops_1_A))),
% 1.58/1.87  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 209
% 1.58/1.87  New rule produced :
% 1.58/1.87  [211]
% 1.58/1.87  element(interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A))),
% 1.58/1.87  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 210
% 1.58/1.87  New rule produced :
% 1.58/1.87  [212]
% 1.58/1.87  closed_subset(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.87                                                the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A)
% 1.58/1.87  -> true
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 211
% 1.58/1.87  New rule produced :
% 1.58/1.87  [213]
% 1.58/1.87  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.87                                                  interior(sK2_t51_tops_1_A,
% 1.58/1.87                                                  subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.58/1.87                                                  the_carrier(sK2_t51_tops_1_A)))))
% 1.58/1.87  ->
% 1.58/1.87  interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A)))
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 212
% 1.58/1.87  New rule produced :
% 1.58/1.87  [214]
% 1.58/1.87  open_subset(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.58/1.87                                        the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A)
% 1.58/1.87  -> true
% 1.58/1.87  Current number of equations to process: 8
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 213
% 1.58/1.87  New rule produced :
% 1.58/1.87  [215]
% 1.58/1.87  subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
% 1.58/1.87  the_carrier(sK2_t51_tops_1_A)) -> true
% 1.58/1.87  Current number of equations to process: 8
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 214
% 1.58/1.87  New rule produced :
% 1.58/1.87  [216]
% 1.58/1.87  subset_complement(the_carrier(sK2_t51_tops_1_A),interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B))
% 1.58/1.87  ->
% 1.58/1.87  topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))
% 1.58/1.87  Current number of equations to process: 8
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 215
% 1.58/1.87  New rule produced :
% 1.58/1.87  [217]
% 1.58/1.87  ifeq(open_subset(topstr_closure(sK2_t51_tops_1_A,the_carrier(sK2_t51_tops_1_A)),sK2_t51_tops_1_A),true,
% 1.58/1.87  closed_subset(interior(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),
% 1.58/1.87                                          the_carrier(sK2_t51_tops_1_A))),sK2_t51_tops_1_A),true)
% 1.58/1.87  -> true
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 216
% 1.58/1.87  New rule produced :
% 1.58/1.87  [218]
% 1.58/1.87  element(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.87                                          subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),
% 1.58/1.87  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 217
% 1.58/1.87  New rule produced :
% 1.58/1.87  [219]
% 1.58/1.87  element(interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,subset_complement(
% 1.58/1.87                                                                    the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),
% 1.58/1.87  powerset(the_carrier(sK2_t51_tops_1_A))) -> true
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.87  Current number of ordered equations: 0
% 1.58/1.87  Current number of rules: 218
% 1.58/1.87  New rule produced :
% 1.58/1.87  [220]
% 1.58/1.87  closed_subset(topstr_closure(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.87                                                subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B))),sK2_t51_tops_1_A)
% 1.58/1.87  -> true
% 1.58/1.87  Current number of equations to process: 7
% 1.58/1.88  Current number of ordered equations: 0
% 1.58/1.88  Current number of rules: 219
% 1.58/1.88  New rule produced :
% 1.58/1.88  [221]
% 1.58/1.88  subset_complement(the_carrier(sK2_t51_tops_1_A),topstr_closure(sK2_t51_tops_1_A,
% 1.58/1.88                                                  interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B)))
% 1.58/1.88  ->
% 1.58/1.88  interior(sK2_t51_tops_1_A,topstr_closure(sK2_t51_tops_1_A,subset_complement(
% 1.58/1.88                                                            the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)))
% 1.58/1.88  Current number of equations to process: 7
% 1.58/1.88  Current number of ordered equations: 0
% 1.58/1.88  Current number of rules: 220
% 1.58/1.88  New rule produced :
% 1.58/1.88  [222]
% 1.58/1.88  ifeq(open_subset(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),sK2_t51_tops_1_A),true,
% 1.58/1.88  closed_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A),true)
% 1.58/1.88  -> true
% 1.58/1.88  Current number of equations to process: 7
% 1.58/1.88  Current number of ordered equations: 0
% 1.58/1.88  Current number of rules: 221
% 1.58/1.88  New rule produced :
% 1.58/1.88  [223]
% 1.58/1.88  open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A) ->
% 1.58/1.88  true
% 1.58/1.88  The conjecture has been reduced. 
% 1.58/1.88  Conjecture is now:
% 1.58/1.88  Trivial
% 1.58/1.88  
% 1.58/1.88  Current number of equations to process: 7
% 1.58/1.88  Current number of ordered equations: 0
% 1.58/1.88  Current number of rules: 222
% 1.58/1.88  The current conjecture is true and the solution is the identity
% 1.58/1.88  % SZS output start Refutation
% 1.58/1.88  
% 1.58/1.88  The following 10 rules have been used:
% 1.58/1.88  [3] 
% 1.58/1.88  top_str(sK2_t51_tops_1_A) -> true; trace = in the starting set
% 1.58/1.88  [7] element(sK1_t51_tops_1_B,powerset(the_carrier(sK2_t51_tops_1_A))) -> true; trace = in the starting set
% 1.58/1.88  [14] ifeq(element(B,powerset(A)),true,element(subset_complement(A,B),
% 1.58/1.88                                        powerset(A)),true) -> true; trace = in the starting set
% 1.58/1.88  [19] ifeq(element(B,powerset(the_carrier(A))),true,ifeq(top_str(A),true,
% 1.58/1.88                                                     element(topstr_closure(A,B),
% 1.58/1.88                                                     powerset(the_carrier(A))),true),true)
% 1.58/1.88       -> true; trace = in the starting set
% 1.58/1.88  [24] ifeq(element(B,powerset(the_carrier(A))),true,ifeq(closed_subset(B,A),true,
% 1.58/1.88                                                     ifeq(topological_space(A),true,
% 1.58/1.88                                                     ifeq(top_str(A),true,
% 1.58/1.88                                                     open_subset(subset_complement(
% 1.58/1.88                                                                 the_carrier(A),B),A),true),true),true),true)
% 1.58/1.88       -> true; trace = in the starting set
% 1.58/1.88  [35] element(subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B),
% 1.58/1.88       powerset(the_carrier(sK2_t51_tops_1_A))) -> true; trace = Cp of 14 and 7
% 1.58/1.88  [45] ifeq(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,element(
% 1.58/1.88                                                                    topstr_closure(sK2_t51_tops_1_A,A),
% 1.58/1.88                                                                    powerset(
% 1.58/1.88                                                                    the_carrier(sK2_t51_tops_1_A))),true)
% 1.58/1.88       -> true; trace = Cp of 19 and 3
% 1.58/1.88  [59] ifeq(element(A,powerset(the_carrier(sK2_t51_tops_1_A))),true,ifeq(
% 1.58/1.88                                                                    closed_subset(A,sK2_t51_tops_1_A),true,
% 1.58/1.88                                                                    open_subset(
% 1.58/1.88                                                                    subset_complement(
% 1.58/1.88                                                                    the_carrier(sK2_t51_tops_1_A),A),sK2_t51_tops_1_A),true),true)
% 1.58/1.88       -> true; trace = Cp of 24 and 3
% 1.58/1.88  [85] element(topstr_closure(sK2_t51_tops_1_A,subset_complement(the_carrier(sK2_t51_tops_1_A),sK1_t51_tops_1_B)),
% 1.58/1.88       powerset(the_carrier(sK2_t51_tops_1_A))) -> true; trace = Cp of 45 and 35
% 1.58/1.88  [223] open_subset(interior(sK2_t51_tops_1_A,sK1_t51_tops_1_B),sK2_t51_tops_1_A)
% 1.58/1.88        -> true; trace = Cp of 85 and 59
% 1.58/1.88  % SZS output end Refutation
% 1.58/1.88  All conjectures have been proven
% 1.58/1.88  
% 1.58/1.88  Execution time: 0.450000 sec
% 1.58/1.88  res : bool = true
% 1.58/1.88  time is now off
% 1.58/1.88  
% 1.58/1.88  status : string = "unsatisfiable"
% 1.58/1.88  % SZS status Unsatisfiable
% 1.58/1.89  CiME interrupted
%------------------------------------------------------------------------------