TSTP Solution File: SEU311+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:15:36 EDT 2022

% Result   : Timeout 299.84s 300.01s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU311+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Jul 27 08:06:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 1.92/2.13  ----- Otter 3.3f, August 2004 -----
% 1.92/2.13  The process was started by sandbox2 on n018.cluster.edu,
% 1.92/2.13  Wed Jul 27 08:06:46 2022
% 1.92/2.13  The command was "./otter".  The process ID is 24492.
% 1.92/2.13  
% 1.92/2.13  set(prolog_style_variables).
% 1.92/2.13  set(auto).
% 1.92/2.13     dependent: set(auto1).
% 1.92/2.13     dependent: set(process_input).
% 1.92/2.13     dependent: clear(print_kept).
% 1.92/2.13     dependent: clear(print_new_demod).
% 1.92/2.13     dependent: clear(print_back_demod).
% 1.92/2.13     dependent: clear(print_back_sub).
% 1.92/2.13     dependent: set(control_memory).
% 1.92/2.13     dependent: assign(max_mem, 12000).
% 1.92/2.13     dependent: assign(pick_given_ratio, 4).
% 1.92/2.13     dependent: assign(stats_level, 1).
% 1.92/2.13     dependent: assign(max_seconds, 10800).
% 1.92/2.13  clear(print_given).
% 1.92/2.13  
% 1.92/2.13  formula_list(usable).
% 1.92/2.13  all A (A=A).
% 1.92/2.13  -(all A B (topological_space(A)&top_str(A)&element(B,powerset(powerset(the_carrier(A))))-> (exists C (element(C,powerset(powerset(the_carrier(A))))& (all D (element(D,powerset(the_carrier(A)))-> (in(D,C)<->in(set_difference(cast_as_carrier_subset(A),D),B)))))))).
% 1.92/2.13  all A (v5_membered(A)->v4_membered(A)).
% 1.92/2.13  all A (v4_membered(A)->v3_membered(A)).
% 1.92/2.13  all A (v3_membered(A)->v2_membered(A)).
% 1.92/2.13  all A (v2_membered(A)->v1_membered(A)).
% 1.92/2.13  exists A (-empty(A)&v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.92/2.13  all A (v1_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)))).
% 1.92/2.13  all A (v2_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)))).
% 1.92/2.13  all A (v3_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_rat_1(B)))).
% 1.92/2.13  all A (v4_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 1.92/2.13  all A (v5_membered(A)-> (all B (element(B,A)->v1_xcmplx_0(B)&natural(B)&v1_xreal_0(B)&v1_int_1(B)&v1_rat_1(B)))).
% 1.92/2.13  all A (v1_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)))).
% 1.92/2.13  all A (v2_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)))).
% 1.92/2.13  all A (v3_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)))).
% 1.92/2.13  all A (v4_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)))).
% 1.92/2.13  all A (v5_membered(A)-> (all B (element(B,powerset(A))->v1_membered(B)&v2_membered(B)&v3_membered(B)&v4_membered(B)&v5_membered(B)))).
% 1.92/2.13  all A B (v1_membered(A)->v1_membered(set_difference(A,B))).
% 1.92/2.13  all A B (v2_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))).
% 1.92/2.13  all A B (v3_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))).
% 1.92/2.13  all A B (v4_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))&v4_membered(set_difference(A,B))).
% 1.92/2.13  all A B (v5_membered(A)->v1_membered(set_difference(A,B))&v2_membered(set_difference(A,B))&v3_membered(set_difference(A,B))&v4_membered(set_difference(A,B))&v5_membered(set_difference(A,B))).
% 1.92/2.13  $T.
% 1.92/2.13  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 1.92/2.13  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.92/2.13  all A exists B (element(B,powerset(A))&empty(B)).
% 1.92/2.13  all A (empty(A)->v1_membered(A)&v2_membered(A)&v3_membered(A)&v4_membered(A)&v5_membered(A)).
% 1.92/2.13  all A B (in(A,B)-> -in(B,A)).
% 1.92/2.13  $T.
% 1.92/2.13  all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 1.92/2.13  $T.
% 1.92/2.13  all A (top_str(A)->one_sorted_str(A)).
% 1.92/2.13  $T.
% 1.92/2.13  $T.
% 1.92/2.13  all A (topological_space(A)&top_str(A)->closed_subset(cast_as_carrier_subset(A),A)).
% 1.92/2.13  all A (-empty(powerset(A))).
% 1.92/2.13  all A B (topological_space(A)&top_str(A)&element(B,powerset(powerset(the_carrier(A))))-> (exists C all D (in(D,C)<->in(D,powerset(the_carrier(A)))&in(set_difference(cast_as_carrier_subset(A),D),B)))).
% 1.92/2.13  all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 1.92/2.13  $T.
% 1.92/2.13  all A exists B element(B,A).
% 1.92/2.13  empty(empty_set).
% 1.92/2.13  all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 1.92/2.13  exists A empty(A).
% 1.92/2.13  exists A (-empty(A)).
% 1.92/2.13  all A (empty(A)->A=empty_set).
% 1.92/2.13  all A B (-(in(A,B)&empty(B))).
% 1.92/2.13  all A B (-(empty(A)&A!=B&empty(B))).
% 1.92/2.13  end_of_list.
% 1.92/2.13  
% 1.92/2.13  -------> usable clausifies to:
% 1.92/2.13  
% 1.92/2.13  list(usable).
% 1.92/2.13  0 [] A=A.
% 1.92/2.13  0 [] topological_space($c2).
% 1.92/2.13  0 [] top_str($c2).
% 1.92/2.13  0 [] element($c1,powerset(powerset(the_carrier($c2)))).
% 1.92/2.13  0 [] -element(C,powerset(powerset(the_carrier($c2))))|element($f1(C),powerset(the_carrier($c2))).
% 1.92/2.13  0 [] -element(C,powerset(powerset(the_carrier($c2))))|in($f1(C),C)|in(set_difference(cast_as_carrier_subset($c2),$f1(C)),$c1).
% 1.92/2.13  0 [] -element(C,powerset(powerset(the_carrier($c2))))| -in($f1(C),C)| -in(set_difference(cast_as_carrier_subset($c2),$f1(C)),$c1).
% 1.92/2.13  0 [] -v5_membered(A)|v4_membered(A).
% 1.92/2.13  0 [] -v4_membered(A)|v3_membered(A).
% 1.92/2.13  0 [] -v3_membered(A)|v2_membered(A).
% 1.92/2.13  0 [] -v2_membered(A)|v1_membered(A).
% 1.92/2.13  0 [] -empty($c3).
% 1.92/2.13  0 [] v1_membered($c3).
% 1.92/2.13  0 [] v2_membered($c3).
% 1.92/2.13  0 [] v3_membered($c3).
% 1.92/2.13  0 [] v4_membered($c3).
% 1.92/2.13  0 [] v5_membered($c3).
% 1.92/2.13  0 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  0 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  0 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  0 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  0 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  0 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.92/2.13  0 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  0 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  0 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  0 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  0 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  0 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.92/2.13  0 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.92/2.13  0 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.92/2.13  0 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 1.92/2.13  0 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 1.92/2.13  0 [] $T.
% 1.92/2.13  0 [] -topological_space(A)| -top_str(A)|element($f2(A),powerset(the_carrier(A))).
% 1.92/2.13  0 [] -topological_space(A)| -top_str(A)|closed_subset($f2(A),A).
% 1.92/2.13  0 [] empty(A)|element($f3(A),powerset(A)).
% 1.92/2.13  0 [] empty(A)| -empty($f3(A)).
% 1.92/2.13  0 [] element($f4(A),powerset(A)).
% 1.92/2.13  0 [] empty($f4(A)).
% 1.92/2.13  0 [] -empty(A)|v1_membered(A).
% 1.92/2.13  0 [] -empty(A)|v2_membered(A).
% 1.92/2.13  0 [] -empty(A)|v3_membered(A).
% 1.92/2.13  0 [] -empty(A)|v4_membered(A).
% 1.92/2.13  0 [] -empty(A)|v5_membered(A).
% 1.92/2.13  0 [] -in(A,B)| -in(B,A).
% 1.92/2.13  0 [] $T.
% 1.92/2.13  0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 1.92/2.13  0 [] $T.
% 1.92/2.13  0 [] -top_str(A)|one_sorted_str(A).
% 1.92/2.13  0 [] $T.
% 1.92/2.13  0 [] $T.
% 1.92/2.13  0 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 1.92/2.13  0 [] -empty(powerset(A)).
% 1.92/2.13  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(D,$f5(A,B))|in(D,powerset(the_carrier(A))).
% 1.92/2.13  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(D,$f5(A,B))|in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.92/2.13  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(D,$f5(A,B))| -in(D,powerset(the_carrier(A)))| -in(set_difference(cast_as_carrier_subset(A),D),B).
% 1.92/2.13  0 [] empty(A)| -element(B,A)|in(B,A).
% 1.92/2.13  0 [] empty(A)|element(B,A)| -in(B,A).
% 1.92/2.13  0 [] -empty(A)| -element(B,A)|empty(B).
% 1.92/2.13  0 [] -empty(A)|element(B,A)| -empty(B).
% 1.92/2.13  0 [] $T.
% 1.92/2.13  0 [] element($f6(A),A).
% 1.92/2.13  0 [] empty(empty_set).
% 1.92/2.13  0 [] in($f7(A,B),A)|element(A,powerset(B)).
% 1.92/2.13  0 [] -in($f7(A,B),B)|element(A,powerset(B)).
% 1.92/2.13  0 [] empty($c4).
% 1.92/2.13  0 [] -empty($c5).
% 1.92/2.13  0 [] -empty(A)|A=empty_set.
% 1.92/2.13  0 [] -in(A,B)| -empty(B).
% 1.92/2.13  0 [] -empty(A)|A=B| -empty(B).
% 1.92/2.13  end_of_list.
% 1.92/2.13  
% 1.92/2.13  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.92/2.13  
% 1.92/2.13  This ia a non-Horn set with equality.  The strategy will be
% 1.92/2.13  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.92/2.13  deletion, with positive clauses in sos and nonpositive
% 1.92/2.13  clauses in usable.
% 1.92/2.13  
% 1.92/2.13     dependent: set(knuth_bendix).
% 1.92/2.13     dependent: set(anl_eq).
% 1.92/2.13     dependent: set(para_from).
% 1.92/2.13     dependent: set(para_into).
% 1.92/2.13     dependent: clear(para_from_right).
% 1.92/2.13     dependent: clear(para_into_right).
% 1.92/2.13     dependent: set(para_from_vars).
% 1.92/2.13     dependent: set(eq_units_both_ways).
% 1.92/2.13     dependent: set(dynamic_demod_all).
% 1.92/2.13     dependent: set(dynamic_demod).
% 1.92/2.13     dependent: set(order_eq).
% 1.92/2.13     dependent: set(back_demod).
% 1.92/2.13     dependent: set(lrpo).
% 1.92/2.13     dependent: set(hyper_res).
% 1.92/2.13     dependent: set(unit_deletion).
% 1.92/2.13     dependent: set(factor).
% 1.92/2.13  
% 1.92/2.13  ------------> process usable:
% 1.92/2.13  ** KEPT (pick-wt=12): 1 [] -element(A,powerset(powerset(the_carrier($c2))))|element($f1(A),powerset(the_carrier($c2))).
% 1.92/2.13  ** KEPT (pick-wt=17): 2 [] -element(A,powerset(powerset(the_carrier($c2))))|in($f1(A),A)|in(set_difference(cast_as_carrier_subset($c2),$f1(A)),$c1).
% 1.92/2.13  ** KEPT (pick-wt=17): 3 [] -element(A,powerset(powerset(the_carrier($c2))))| -in($f1(A),A)| -in(set_difference(cast_as_carrier_subset($c2),$f1(A)),$c1).
% 1.92/2.13  ** KEPT (pick-wt=4): 4 [] -v5_membered(A)|v4_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=4): 5 [] -v4_membered(A)|v3_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=4): 6 [] -v3_membered(A)|v2_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=4): 7 [] -v2_membered(A)|v1_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=2): 8 [] -empty($c3).
% 1.92/2.13  ** KEPT (pick-wt=7): 9 [] -v1_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 10 [] -v2_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 11 [] -v2_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 12 [] -v3_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 13 [] -v3_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 14 [] -v3_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 15 [] -v4_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 16 [] -v4_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 17 [] -v4_membered(A)| -element(B,A)|v1_int_1(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 18 [] -v4_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 19 [] -v5_membered(A)| -element(B,A)|v1_xcmplx_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 20 [] -v5_membered(A)| -element(B,A)|natural(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 21 [] -v5_membered(A)| -element(B,A)|v1_xreal_0(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 22 [] -v5_membered(A)| -element(B,A)|v1_int_1(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 23 [] -v5_membered(A)| -element(B,A)|v1_rat_1(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 24 [] -v1_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 25 [] -v2_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 26 [] -v2_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 27 [] -v3_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 28 [] -v3_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 29 [] -v3_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 30 [] -v4_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 31 [] -v4_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 32 [] -v4_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 33 [] -v4_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 34 [] -v5_membered(A)| -element(B,powerset(A))|v1_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 35 [] -v5_membered(A)| -element(B,powerset(A))|v2_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 36 [] -v5_membered(A)| -element(B,powerset(A))|v3_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 37 [] -v5_membered(A)| -element(B,powerset(A))|v4_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=8): 38 [] -v5_membered(A)| -element(B,powerset(A))|v5_membered(B).
% 1.92/2.13  ** KEPT (pick-wt=6): 39 [] -v1_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 40 [] -v2_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 41 [] -v2_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 42 [] -v3_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 43 [] -v3_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 44 [] -v3_membered(A)|v3_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 45 [] -v4_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 46 [] -v4_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 47 [] -v4_membered(A)|v3_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 48 [] -v4_membered(A)|v4_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 49 [] -v5_membered(A)|v1_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 50 [] -v5_membered(A)|v2_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 51 [] -v5_membered(A)|v3_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 52 [] -v5_membered(A)|v4_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=6): 53 [] -v5_membered(A)|v5_membered(set_difference(A,B)).
% 1.92/2.13  ** KEPT (pick-wt=10): 54 [] -topological_space(A)| -top_str(A)|element($f2(A),powerset(the_carrier(A))).
% 1.92/2.13  ** KEPT (pick-wt=8): 55 [] -topological_space(A)| -top_str(A)|closed_subset($f2(A),A).
% 1.92/2.13  ** KEPT (pick-wt=5): 56 [] empty(A)| -empty($f3(A)).
% 1.92/2.13  ** KEPT (pick-wt=4): 57 [] -empty(A)|v1_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=4): 58 [] -empty(A)|v2_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=4): 59 [] -empty(A)|v3_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=4): 60 [] -empty(A)|v4_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=4): 61 [] -empty(A)|v5_membered(A).
% 1.92/2.13  ** KEPT (pick-wt=6): 62 [] -in(A,B)| -in(B,A).
% 1.92/2.13  ** KEPT (pick-wt=8): 63 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 1.92/2.13  ** KEPT (pick-wt=4): 64 [] -top_str(A)|one_sorted_str(A).
% 1.92/2.13  ** KEPT (pick-wt=8): 65 [] -topological_space(A)| -top_str(A)|closed_subset(cast_as_carrier_subset(A),A).
% 1.92/2.13  ** KEPT (pick-wt=3): 66 [] -empty(powerset(A)).
% 1.92/2.13  ** KEPT (pick-wt=20): 67 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(C,$f5(A,B))|in(C,powerset(the_carrier(A))).
% 1.92/2.13  ** KEPT (pick-wt=21): 68 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))| -in(C,$f5(A,B))|in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.92/2.13  ** KEPT (pick-wt=26): 69 [] -topological_space(A)| -top_str(A)| -element(B,powerset(powerset(the_carrier(A))))|in(C,$f5(A,B))| -in(C,powerset(the_carrier(A)))| -in(set_difference(cast_as_carrier_subset(A),C),B).
% 1.92/2.13  ** KEPT (pick-wt=8): 70 [] empty(A)| -element(B,A)|in(B,A).
% 1.92/2.13  ** KEPT (pick-wt=8): 71 [] empty(A)|element(B,A)| -in(B,A).
% 1.92/2.13  ** KEPT (pick-wt=7): 72 [] -empty(A)| -element(B,A)|empty(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 73 [] -empty(A)|element(B,A)| -empty(B).
% 1.92/2.13  ** KEPT (pick-wt=9): 74 [] -in($f7(A,B),B)|element(A,powerset(B)).
% 1.92/2.13  ** KEPT (pick-wt=2): 75 [] -empty($c5).
% 1.92/2.13  ** KEPT (pick-wt=5): 76 [] -empty(A)|A=empty_set.
% 1.92/2.13  ** KEPT (pick-wt=5): 77 [] -in(A,B)| -empty(B).
% 1.92/2.13  ** KEPT (pick-wt=7): 78 [] -empty(A)|A=B| -empty(B).
% 1.92/2.13  
% 1.92/2.13  ------------> process sos:
% 1.92/2.13  ** KEPT (pick-wt=3): 82 [] A=A.
% 1.92/2.13  ** KEPT (pick-wt=2): 83 [] topological_space($c2).
% 1.92/2.13  ** KEPT (pick-wt=2): 84 [] top_str($c2).
% 1.92/2.13  ** KEPT (pick-wt=6): 85 [] element($c1,powerset(powerset(the_carrier($c2)))).
% 1.92/2.13  ** KEPT (pick-wt=2): 86 [] v1_membered($c3).
% 1.92/2.13  ** KEPT (pick-wt=2): 87 [] v2_membered($c3).
% 1.92/2.13  ** KEPT (pick-wt=2): 88 [] v3_membered($c3).
% 1.92/2.13  ** KEPT (pick-wt=2): 89 [] v4_membered($c3).
% 1.92/2.13  ** KEPT (pick-wt=2): 90 [] v5_membered($c3).
% 1.92/2.13  ** KEPT (pick-wt=7): 91 [] empty(A)|element($f3(A),powerset(A)).
% 1.92/2.13  ** KEPT (piAlarm clock 
% 299.84/300.01  Otter interrupted
% 299.84/300.01  PROOF NOT FOUND
%------------------------------------------------------------------------------