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Otter---3.3.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n015.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 13:15:40 EDT 2022

% Result   : Theorem 1.98s 2.18s
% Output   : Refutation 1.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   29 (  16 unt;   2 nHn;  28 RR)
%            Number of literals    :   50 (  14 equ;  20 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ top_str(A)
    | ~ element(B,powerset(the_carrier(A)))
    | interior(A,B) = subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))) ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(2,plain,
    ( ~ top_str(A)
    | ~ element(B,powerset(the_carrier(A)))
    | subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))) = interior(A,B) ),
    inference(flip,[status(thm),theory(equality)],[inference(copy,[status(thm)],[1])]),
    [iquote('copy,1,flip.3')] ).

cnf(4,axiom,
    ( ~ element(A,powerset(B))
    | element(subset_complement(B,A),powerset(B)) ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ topological_space(A)
    | ~ top_str(A)
    | ~ element(B,powerset(the_carrier(A)))
    | open_subset(interior(A,B),A) ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ element(A,powerset(B))
    | subset_complement(B,subset_complement(B,A)) = A ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( ~ top_str(A)
    | ~ element(B,powerset(the_carrier(A)))
    | ~ open_subset(B,A)
    | closed_subset(subset_complement(the_carrier(A),B),A) ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(23,axiom,
    ( ~ top_str(A)
    | ~ element(B,powerset(the_carrier(A)))
    | ~ closed_subset(B,A)
    | topstr_closure(A,B) = B ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(25,axiom,
    ( open_subset(dollar_c3,dollar_c5)
    | ~ open_subset(dollar_c4,dollar_c6) ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(26,axiom,
    ( interior(dollar_c5,dollar_c3) != dollar_c3
    | interior(dollar_c6,dollar_c4) = dollar_c4 ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(27,axiom,
    ( interior(dollar_c5,dollar_c3) != dollar_c3
    | ~ open_subset(dollar_c4,dollar_c6) ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(28,axiom,
    A = A,
    file('SEU324+1.p',unknown),
    [] ).

cnf(33,axiom,
    topological_space(dollar_c6),
    file('SEU324+1.p',unknown),
    [] ).

cnf(34,axiom,
    top_str(dollar_c6),
    file('SEU324+1.p',unknown),
    [] ).

cnf(35,axiom,
    top_str(dollar_c5),
    file('SEU324+1.p',unknown),
    [] ).

cnf(36,axiom,
    element(dollar_c4,powerset(the_carrier(dollar_c6))),
    file('SEU324+1.p',unknown),
    [] ).

cnf(37,axiom,
    element(dollar_c3,powerset(the_carrier(dollar_c5))),
    file('SEU324+1.p',unknown),
    [] ).

cnf(38,axiom,
    ( open_subset(dollar_c3,dollar_c5)
    | interior(dollar_c6,dollar_c4) = dollar_c4 ),
    file('SEU324+1.p',unknown),
    [] ).

cnf(71,plain,
    open_subset(interior(dollar_c6,dollar_c4),dollar_c6),
    inference(hyper,[status(thm)],[36,10,33,34]),
    [iquote('hyper,36,10,33,34')] ).

cnf(97,plain,
    subset_complement(the_carrier(dollar_c5),subset_complement(the_carrier(dollar_c5),dollar_c3)) = dollar_c3,
    inference(hyper,[status(thm)],[37,11]),
    [iquote('hyper,37,11')] ).

cnf(99,plain,
    element(subset_complement(the_carrier(dollar_c5),dollar_c3),powerset(the_carrier(dollar_c5))),
    inference(hyper,[status(thm)],[37,4]),
    [iquote('hyper,37,4')] ).

cnf(101,plain,
    subset_complement(the_carrier(dollar_c5),topstr_closure(dollar_c5,subset_complement(the_carrier(dollar_c5),dollar_c3))) = interior(dollar_c5,dollar_c3),
    inference(hyper,[status(thm)],[37,2,35]),
    [iquote('hyper,37,2,35')] ).

cnf(104,plain,
    ( open_subset(dollar_c4,dollar_c6)
    | open_subset(dollar_c3,dollar_c5) ),
    inference(unit_del,[status(thm)],[inference(para_from,[status(thm),theory(equality)],[38,10]),33,34,36]),
    [iquote('para_from,38.2.1,10.4.1,unit_del,33,34,36')] ).

cnf(105,plain,
    ( open_subset(dollar_c4,dollar_c6)
    | interior(dollar_c5,dollar_c3) != dollar_c3 ),
    inference(para_into,[status(thm),theory(equality)],[71,26]),
    [iquote('para_into,71.1.1,26.2.1')] ).

cnf(159,plain,
    open_subset(dollar_c3,dollar_c5),
    inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[104,25])]),
    [iquote('hyper,104,25,factor_simp')] ).

cnf(161,plain,
    closed_subset(subset_complement(the_carrier(dollar_c5),dollar_c3),dollar_c5),
    inference(hyper,[status(thm)],[159,19,35,37]),
    [iquote('hyper,159,19,35,37')] ).

cnf(402,plain,
    topstr_closure(dollar_c5,subset_complement(the_carrier(dollar_c5),dollar_c3)) = subset_complement(the_carrier(dollar_c5),dollar_c3),
    inference(hyper,[status(thm)],[99,23,35,161]),
    [iquote('hyper,99,23,35,161')] ).

cnf(408,plain,
    interior(dollar_c5,dollar_c3) = dollar_c3,
    inference(flip,[status(thm),theory(equality)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[101]),402,97])]),
    [iquote('back_demod,101,demod,402,97,flip.1')] ).

cnf(413,plain,
    open_subset(dollar_c4,dollar_c6),
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[105]),408]),28]),
    [iquote('back_demod,105,demod,408,unit_del,28')] ).

cnf(414,plain,
    $false,
    inference(unit_del,[status(thm)],[inference(demod,[status(thm),theory(equality)],[inference(back_demod,[status(thm)],[27]),408]),28,413]),
    [iquote('back_demod,27,demod,408,unit_del,28,413')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % Command  : otter-tptp-script %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Jul 27 07:49:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.98/2.17  ----- Otter 3.3f, August 2004 -----
% 1.98/2.17  The process was started by sandbox on n015.cluster.edu,
% 1.98/2.17  Wed Jul 27 07:49:27 2022
% 1.98/2.17  The command was "./otter".  The process ID is 23911.
% 1.98/2.17  
% 1.98/2.17  set(prolog_style_variables).
% 1.98/2.17  set(auto).
% 1.98/2.17     dependent: set(auto1).
% 1.98/2.17     dependent: set(process_input).
% 1.98/2.17     dependent: clear(print_kept).
% 1.98/2.17     dependent: clear(print_new_demod).
% 1.98/2.17     dependent: clear(print_back_demod).
% 1.98/2.17     dependent: clear(print_back_sub).
% 1.98/2.17     dependent: set(control_memory).
% 1.98/2.17     dependent: assign(max_mem, 12000).
% 1.98/2.17     dependent: assign(pick_given_ratio, 4).
% 1.98/2.17     dependent: assign(stats_level, 1).
% 1.98/2.17     dependent: assign(max_seconds, 10800).
% 1.98/2.17  clear(print_given).
% 1.98/2.17  
% 1.98/2.17  formula_list(usable).
% 1.98/2.17  all A (A=A).
% 1.98/2.17  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))->interior(A,B)=subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B)))))).
% 1.98/2.17  all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(interior(A,B),powerset(the_carrier(A)))).
% 1.98/2.17  $T.
% 1.98/2.17  all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 1.98/2.17  all A B (top_str(A)&element(B,powerset(the_carrier(A)))->element(topstr_closure(A,B),powerset(the_carrier(A)))).
% 1.98/2.17  all A (top_str(A)->one_sorted_str(A)).
% 1.98/2.17  $T.
% 1.98/2.17  $T.
% 1.98/2.17  $T.
% 1.98/2.17  exists A top_str(A).
% 1.98/2.17  exists A one_sorted_str(A).
% 1.98/2.17  all A exists B element(B,A).
% 1.98/2.17  all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->closed_subset(topstr_closure(A,B),A)).
% 1.98/2.17  all A B (topological_space(A)&top_str(A)&closed_subset(B,A)&element(B,powerset(the_carrier(A)))->open_subset(subset_complement(the_carrier(A),B),A)).
% 1.98/2.17  all A B (topological_space(A)&top_str(A)&open_subset(B,A)&element(B,powerset(the_carrier(A)))->closed_subset(subset_complement(the_carrier(A),B),A)).
% 1.98/2.17  all A B (topological_space(A)&top_str(A)&element(B,powerset(the_carrier(A)))->open_subset(interior(A,B),A)).
% 1.98/2.17  all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 1.98/2.17  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)))).
% 1.98/2.17  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&open_subset(B,A)&closed_subset(B,A)))).
% 1.98/2.17  all A (topological_space(A)&top_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&closed_subset(B,A)))).
% 1.98/2.17  all A B subset(A,A).
% 1.98/2.17  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (open_subset(B,A)<->closed_subset(subset_complement(the_carrier(A),B),A))))).
% 1.98/2.17  all A B (element(A,powerset(B))<->subset(A,B)).
% 1.98/2.17  all A (top_str(A)-> (all B (element(B,powerset(the_carrier(A)))-> (closed_subset(B,A)->topstr_closure(A,B)=B)& (topological_space(A)&topstr_closure(A,B)=B->closed_subset(B,A))))).
% 1.98/2.17  -(all A (topological_space(A)&top_str(A)-> (all B (top_str(B)-> (all C (element(C,powerset(the_carrier(A)))-> (all D (element(D,powerset(the_carrier(B)))-> (open_subset(D,B)->interior(B,D)=D)& (interior(A,C)=C->open_subset(C,A)))))))))).
% 1.98/2.17  end_of_list.
% 1.98/2.17  
% 1.98/2.17  -------> usable clausifies to:
% 1.98/2.17  
% 1.98/2.17  list(usable).
% 1.98/2.17  0 [] A=A.
% 1.98/2.17  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|interior(A,B)=subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B))).
% 1.98/2.17  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 1.98/2.17  0 [] $T.
% 1.98/2.17  0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 1.98/2.17  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 1.98/2.17  0 [] -top_str(A)|one_sorted_str(A).
% 1.98/2.17  0 [] $T.
% 1.98/2.17  0 [] $T.
% 1.98/2.17  0 [] $T.
% 1.98/2.17  0 [] top_str($c1).
% 1.98/2.17  0 [] one_sorted_str($c2).
% 1.98/2.17  0 [] element($f1(A),A).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)| -closed_subset(B,A)| -element(B,powerset(the_carrier(A)))|open_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)| -open_subset(B,A)| -element(B,powerset(the_carrier(A)))|closed_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 1.98/2.17  0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)|element($f2(A),powerset(the_carrier(A))).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)|open_subset($f2(A),A).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)|element($f3(A),powerset(the_carrier(A))).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)|open_subset($f3(A),A).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)|closed_subset($f3(A),A).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)|element($f4(A),powerset(the_carrier(A))).
% 1.98/2.17  0 [] -topological_space(A)| -top_str(A)|closed_subset($f4(A),A).
% 1.98/2.17  0 [] subset(A,A).
% 1.98/2.17  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)|closed_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.17  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(B,A)| -closed_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.17  0 [] -element(A,powerset(B))|subset(A,B).
% 1.98/2.17  0 [] element(A,powerset(B))| -subset(A,B).
% 1.98/2.17  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)|topstr_closure(A,B)=B.
% 1.98/2.17  0 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -topological_space(A)|topstr_closure(A,B)!=B|closed_subset(B,A).
% 1.98/2.17  0 [] topological_space($c6).
% 1.98/2.17  0 [] top_str($c6).
% 1.98/2.17  0 [] top_str($c5).
% 1.98/2.17  0 [] element($c4,powerset(the_carrier($c6))).
% 1.98/2.17  0 [] element($c3,powerset(the_carrier($c5))).
% 1.98/2.17  0 [] open_subset($c3,$c5)|interior($c6,$c4)=$c4.
% 1.98/2.17  0 [] open_subset($c3,$c5)| -open_subset($c4,$c6).
% 1.98/2.17  0 [] interior($c5,$c3)!=$c3|interior($c6,$c4)=$c4.
% 1.98/2.17  0 [] interior($c5,$c3)!=$c3| -open_subset($c4,$c6).
% 1.98/2.17  end_of_list.
% 1.98/2.17  
% 1.98/2.17  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=5.
% 1.98/2.17  
% 1.98/2.17  This ia a non-Horn set with equality.  The strategy will be
% 1.98/2.17  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.98/2.17  deletion, with positive clauses in sos and nonpositive
% 1.98/2.17  clauses in usable.
% 1.98/2.17  
% 1.98/2.17     dependent: set(knuth_bendix).
% 1.98/2.17     dependent: set(anl_eq).
% 1.98/2.17     dependent: set(para_from).
% 1.98/2.17     dependent: set(para_into).
% 1.98/2.17     dependent: clear(para_from_right).
% 1.98/2.17     dependent: clear(para_into_right).
% 1.98/2.17     dependent: set(para_from_vars).
% 1.98/2.17     dependent: set(eq_units_both_ways).
% 1.98/2.17     dependent: set(dynamic_demod_all).
% 1.98/2.17     dependent: set(dynamic_demod).
% 1.98/2.17     dependent: set(order_eq).
% 1.98/2.17     dependent: set(back_demod).
% 1.98/2.17     dependent: set(lrpo).
% 1.98/2.17     dependent: set(hyper_res).
% 1.98/2.17     dependent: set(unit_deletion).
% 1.98/2.17     dependent: set(factor).
% 1.98/2.17  
% 1.98/2.17  ------------> process usable:
% 1.98/2.17  ** KEPT (pick-wt=20): 2 [copy,1,flip.3] -top_str(A)| -element(B,powerset(the_carrier(A)))|subset_complement(the_carrier(A),topstr_closure(A,subset_complement(the_carrier(A),B)))=interior(A,B).
% 1.98/2.17  ** KEPT (pick-wt=14): 3 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(interior(A,B),powerset(the_carrier(A))).
% 1.98/2.17  ** KEPT (pick-wt=10): 4 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 1.98/2.17  ** KEPT (pick-wt=14): 5 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|element(topstr_closure(A,B),powerset(the_carrier(A))).
% 1.98/2.17  ** KEPT (pick-wt=4): 6 [] -top_str(A)|one_sorted_str(A).
% 1.98/2.17  ** KEPT (pick-wt=14): 7 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|closed_subset(topstr_closure(A,B),A).
% 1.98/2.17  ** KEPT (pick-wt=18): 8 [] -topological_space(A)| -top_str(A)| -closed_subset(B,A)| -element(B,powerset(the_carrier(A)))|open_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.17  ** KEPT (pick-wt=18): 9 [] -topological_space(A)| -top_str(A)| -open_subset(B,A)| -element(B,powerset(the_carrier(A)))|closed_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.17  ** KEPT (pick-wt=14): 10 [] -topological_space(A)| -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(interior(A,B),A).
% 1.98/2.17  ** KEPT (pick-wt=11): 11 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 1.98/2.17  ** KEPT (pick-wt=10): 12 [] -topological_space(A)| -top_str(A)|element($f2(A),powerset(the_carrier(A))).
% 1.98/2.17  ** KEPT (pick-wt=8): 13 [] -topological_space(A)| -top_str(A)|open_subset($f2(A),A).
% 1.98/2.17  ** KEPT (pick-wt=10): 14 [] -topological_space(A)| -top_str(A)|element($f3(A),powerset(the_carrier(A))).
% 1.98/2.17  ** KEPT (pick-wt=8): 15 [] -topological_space(A)| -top_str(A)|open_subset($f3(A),A).
% 1.98/2.17  ** KEPT (pick-wt=8): 16 [] -topological_space(A)| -top_str(A)|closed_subset($f3(A),A).
% 1.98/2.17  ** KEPT (pick-wt=10): 17 [] -topological_space(A)| -top_str(A)|element($f4(A),powerset(the_carrier(A))).
% 1.98/2.18  ** KEPT (pick-wt=8): 18 [] -topological_space(A)| -top_str(A)|closed_subset($f4(A),A).
% 1.98/2.18  ** KEPT (pick-wt=16): 19 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -open_subset(B,A)|closed_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.18  ** KEPT (pick-wt=16): 20 [] -top_str(A)| -element(B,powerset(the_carrier(A)))|open_subset(B,A)| -closed_subset(subset_complement(the_carrier(A),B),A).
% 1.98/2.18  ** KEPT (pick-wt=7): 21 [] -element(A,powerset(B))|subset(A,B).
% 1.98/2.18  ** KEPT (pick-wt=7): 22 [] element(A,powerset(B))| -subset(A,B).
% 1.98/2.18  ** KEPT (pick-wt=15): 23 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -closed_subset(B,A)|topstr_closure(A,B)=B.
% 1.98/2.18  ** KEPT (pick-wt=17): 24 [] -top_str(A)| -element(B,powerset(the_carrier(A)))| -topological_space(A)|topstr_closure(A,B)!=B|closed_subset(B,A).
% 1.98/2.18  ** KEPT (pick-wt=6): 25 [] open_subset($c3,$c5)| -open_subset($c4,$c6).
% 1.98/2.18  ** KEPT (pick-wt=10): 26 [] interior($c5,$c3)!=$c3|interior($c6,$c4)=$c4.
% 1.98/2.18  ** KEPT (pick-wt=8): 27 [] interior($c5,$c3)!=$c3| -open_subset($c4,$c6).
% 1.98/2.18  19 back subsumes 9.
% 1.98/2.18  
% 1.98/2.18  ------------> process sos:
% 1.98/2.18  ** KEPT (pick-wt=3): 28 [] A=A.
% 1.98/2.18  ** KEPT (pick-wt=2): 29 [] top_str($c1).
% 1.98/2.18  ** KEPT (pick-wt=2): 30 [] one_sorted_str($c2).
% 1.98/2.18  ** KEPT (pick-wt=4): 31 [] element($f1(A),A).
% 1.98/2.18  ** KEPT (pick-wt=3): 32 [] subset(A,A).
% 1.98/2.18  ** KEPT (pick-wt=2): 33 [] topological_space($c6).
% 1.98/2.18  ** KEPT (pick-wt=2): 34 [] top_str($c6).
% 1.98/2.18  ** KEPT (pick-wt=2): 35 [] top_str($c5).
% 1.98/2.18  ** KEPT (pick-wt=5): 36 [] element($c4,powerset(the_carrier($c6))).
% 1.98/2.18  ** KEPT (pick-wt=5): 37 [] element($c3,powerset(the_carrier($c5))).
% 1.98/2.18  ** KEPT (pick-wt=8): 38 [] open_subset($c3,$c5)|interior($c6,$c4)=$c4.
% 1.98/2.18    Following clause subsumed by 28 during input processing: 0 [copy,28,flip.1] A=A.
% 1.98/2.18  
% 1.98/2.18  ======= end of input processing =======
% 1.98/2.18  
% 1.98/2.18  =========== start of search ===========
% 1.98/2.18  
% 1.98/2.18  -------- PROOF -------- 
% 1.98/2.18  
% 1.98/2.18  -----> EMPTY CLAUSE at   0.01 sec ----> 414 [back_demod,27,demod,408,unit_del,28,413] $F.
% 1.98/2.18  
% 1.98/2.18  Length of proof is 12.  Level of proof is 6.
% 1.98/2.18  
% 1.98/2.18  ---------------- PROOF ----------------
% 1.98/2.18  % SZS status Theorem
% 1.98/2.18  % SZS output start Refutation
% See solution above
% 1.98/2.18  ------------ end of proof -------------
% 1.98/2.18  
% 1.98/2.18  
% 1.98/2.18  Search stopped by max_proofs option.
% 1.98/2.18  
% 1.98/2.18  
% 1.98/2.18  Search stopped by max_proofs option.
% 1.98/2.18  
% 1.98/2.18  ============ end of search ============
% 1.98/2.18  
% 1.98/2.18  -------------- statistics -------------
% 1.98/2.18  clauses given                 83
% 1.98/2.18  clauses generated            343
% 1.98/2.18  clauses kept                 323
% 1.98/2.18  clauses forward subsumed     120
% 1.98/2.18  clauses back subsumed          6
% 1.98/2.18  Kbytes malloced             3906
% 1.98/2.18  
% 1.98/2.18  ----------- times (seconds) -----------
% 1.98/2.18  user CPU time          0.01          (0 hr, 0 min, 0 sec)
% 1.98/2.18  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 1.98/2.18  wall-clock time        1             (0 hr, 0 min, 1 sec)
% 1.98/2.18  
% 1.98/2.18  That finishes the proof of the theorem.
% 1.98/2.18  
% 1.98/2.18  Process 23911 finished Wed Jul 27 07:49:28 2022
% 1.98/2.18  Otter interrupted
% 1.98/2.18  PROOF FOUND
%------------------------------------------------------------------------------