TSTP Solution File: SEU094+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 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 13:14:46 EDT 2022

% Result   : Unknown 5.30s 5.47s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n015.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 08:03:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.28/2.46  ----- Otter 3.3f, August 2004 -----
% 2.28/2.46  The process was started by sandbox on n015.cluster.edu,
% 2.28/2.46  Wed Jul 27 08:03:42 2022
% 2.28/2.46  The command was "./otter".  The process ID is 12679.
% 2.28/2.46  
% 2.28/2.46  set(prolog_style_variables).
% 2.28/2.46  set(auto).
% 2.28/2.46     dependent: set(auto1).
% 2.28/2.46     dependent: set(process_input).
% 2.28/2.46     dependent: clear(print_kept).
% 2.28/2.46     dependent: clear(print_new_demod).
% 2.28/2.46     dependent: clear(print_back_demod).
% 2.28/2.46     dependent: clear(print_back_sub).
% 2.28/2.46     dependent: set(control_memory).
% 2.28/2.46     dependent: assign(max_mem, 12000).
% 2.28/2.46     dependent: assign(pick_given_ratio, 4).
% 2.28/2.46     dependent: assign(stats_level, 1).
% 2.28/2.46     dependent: assign(max_seconds, 10800).
% 2.28/2.46  clear(print_given).
% 2.28/2.46  
% 2.28/2.46  formula_list(usable).
% 2.28/2.46  all A (A=A).
% 2.28/2.46  all A B (in(A,B)-> -in(B,A)).
% 2.28/2.46  all A (ordinal(A)-> (all B (element(B,A)->epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)))).
% 2.28/2.46  all A (empty(A)->finite(A)).
% 2.28/2.46  all A (empty(A)->function(A)).
% 2.28/2.46  all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 2.28/2.46  all A (empty(A)->relation(A)).
% 2.28/2.46  all A (empty(A)&ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.28/2.46  all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.28/2.46  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.28/2.46  all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 2.28/2.46  all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.28/2.46  all A (element(A,positive_rationals)-> (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A))).
% 2.28/2.46  all A exists B element(B,A).
% 2.28/2.46  empty(empty_set).
% 2.28/2.46  relation(empty_set).
% 2.28/2.46  relation_empty_yielding(empty_set).
% 2.28/2.46  all A (-empty(powerset(A))).
% 2.28/2.46  empty(empty_set).
% 2.28/2.46  relation(empty_set).
% 2.28/2.46  relation_empty_yielding(empty_set).
% 2.28/2.46  function(empty_set).
% 2.28/2.46  one_to_one(empty_set).
% 2.28/2.46  empty(empty_set).
% 2.28/2.46  epsilon_transitive(empty_set).
% 2.28/2.46  epsilon_connected(empty_set).
% 2.28/2.46  ordinal(empty_set).
% 2.28/2.46  all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 2.28/2.46  empty(empty_set).
% 2.28/2.46  relation(empty_set).
% 2.28/2.46  -empty(positive_rationals).
% 2.28/2.46  all A (finite(A)& (all B (in(B,A)->finite(B)))->finite(union(A))).
% 2.28/2.46  exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.28/2.46  exists A (-empty(A)&finite(A)).
% 2.28/2.46  exists A (relation(A)&function(A)&function_yielding(A)).
% 2.28/2.46  exists A (relation(A)&function(A)).
% 2.28/2.46  exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.28/2.46  exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&being_limit_ordinal(A)).
% 2.28/2.46  exists A (empty(A)&relation(A)).
% 2.28/2.46  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.28/2.46  exists A empty(A).
% 2.28/2.46  exists A (element(A,positive_rationals)& -empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.28/2.46  all A exists B (element(B,powerset(A))&empty(B)&relation(B)&function(B)&one_to_one(B)&epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)&natural(B)&finite(B)).
% 2.28/2.46  exists A (relation(A)&empty(A)&function(A)).
% 2.28/2.46  exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.28/2.46  exists A (relation(A)&function(A)&transfinite_se_quence(A)&ordinal_yielding(A)).
% 2.28/2.46  exists A (-empty(A)&relation(A)).
% 2.28/2.46  all A exists B (element(B,powerset(A))&empty(B)).
% 2.28/2.46  exists A (-empty(A)).
% 2.28/2.46  exists A (element(A,positive_rationals)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 2.28/2.46  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.28/2.46  exists A (relation(A)&function(A)&one_to_one(A)).
% 2.28/2.46  exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 2.28/2.46  exists A (relation(A)&relation_empty_yielding(A)).
% 2.28/2.46  exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 2.28/2.46  exists A (relation(A)&function(A)&transfinite_se_quence(A)).
% 2.28/2.46  exists A (relation(A)&relation_non_empty(A)&function(A)).
% 2.28/2.46  all A B subset(A,A).
% 2.28/2.46  all A subset(A,powerset(union(A))).
% 2.28/2.46  all A B (subset(A,B)&finite(B)->finite(A)).
% 2.28/2.46  all A B (in(A,B)->element(A,B)).
% 2.28/2.46  all A (finite(A)<->finite(powerset(A))).
% 2.28/2.46  -(all A (finite(A)& (all B (in(B,A)->finite(B)))<->finite(union(A)))).
% 2.28/2.46  all A B (element(A,B)->empty(B)|in(A,B)).
% 2.28/2.46  all A B (element(A,powerset(B))<->subset(A,B)).
% 2.28/2.46  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.28/2.46  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.28/2.46  all A (empty(A)->A=empty_set).
% 2.28/2.46  all A B (-(in(A,B)&empty(B))).
% 2.28/2.46  all A B (-(empty(A)&A!=B&empty(B))).
% 2.28/2.46  all A B (in(A,B)->subset(A,union(B))).
% 2.28/2.46  end_of_list.
% 2.28/2.46  
% 2.28/2.46  -------> usable clausifies to:
% 2.28/2.46  
% 2.28/2.46  list(usable).
% 2.28/2.46  0 [] A=A.
% 2.28/2.46  0 [] -in(A,B)| -in(B,A).
% 2.28/2.46  0 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 2.28/2.46  0 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 2.28/2.46  0 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 2.28/2.46  0 [] -empty(A)|finite(A).
% 2.28/2.46  0 [] -empty(A)|function(A).
% 2.28/2.46  0 [] -ordinal(A)|epsilon_transitive(A).
% 2.28/2.46  0 [] -ordinal(A)|epsilon_connected(A).
% 2.28/2.46  0 [] -empty(A)|relation(A).
% 2.28/2.46  0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 2.28/2.46  0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 2.28/2.46  0 [] -empty(A)| -ordinal(A)|natural(A).
% 2.28/2.46  0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.28/2.46  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.28/2.46  0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.28/2.46  0 [] -empty(A)|epsilon_transitive(A).
% 2.28/2.46  0 [] -empty(A)|epsilon_connected(A).
% 2.28/2.46  0 [] -empty(A)|ordinal(A).
% 2.28/2.46  0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_transitive(A).
% 2.28/2.46  0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_connected(A).
% 2.28/2.46  0 [] -element(A,positive_rationals)| -ordinal(A)|natural(A).
% 2.28/2.46  0 [] element($f1(A),A).
% 2.28/2.46  0 [] empty(empty_set).
% 2.28/2.46  0 [] relation(empty_set).
% 2.28/2.46  0 [] relation_empty_yielding(empty_set).
% 2.28/2.46  0 [] -empty(powerset(A)).
% 2.28/2.46  0 [] empty(empty_set).
% 2.28/2.46  0 [] relation(empty_set).
% 2.28/2.46  0 [] relation_empty_yielding(empty_set).
% 2.28/2.46  0 [] function(empty_set).
% 2.28/2.46  0 [] one_to_one(empty_set).
% 2.28/2.46  0 [] empty(empty_set).
% 2.28/2.46  0 [] epsilon_transitive(empty_set).
% 2.28/2.46  0 [] epsilon_connected(empty_set).
% 2.28/2.46  0 [] ordinal(empty_set).
% 2.28/2.46  0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 2.28/2.46  0 [] -ordinal(A)|epsilon_connected(union(A)).
% 2.28/2.46  0 [] -ordinal(A)|ordinal(union(A)).
% 2.28/2.46  0 [] empty(empty_set).
% 2.28/2.46  0 [] relation(empty_set).
% 2.28/2.46  0 [] -empty(positive_rationals).
% 2.28/2.46  0 [] -finite(A)|in($f2(A),A)|finite(union(A)).
% 2.28/2.46  0 [] -finite(A)| -finite($f2(A))|finite(union(A)).
% 2.28/2.46  0 [] -empty($c1).
% 2.28/2.46  0 [] epsilon_transitive($c1).
% 2.28/2.46  0 [] epsilon_connected($c1).
% 2.28/2.46  0 [] ordinal($c1).
% 2.28/2.46  0 [] natural($c1).
% 2.28/2.46  0 [] -empty($c2).
% 2.28/2.46  0 [] finite($c2).
% 2.28/2.46  0 [] relation($c3).
% 2.28/2.46  0 [] function($c3).
% 2.28/2.46  0 [] function_yielding($c3).
% 2.28/2.46  0 [] relation($c4).
% 2.28/2.46  0 [] function($c4).
% 2.28/2.46  0 [] epsilon_transitive($c5).
% 2.28/2.46  0 [] epsilon_connected($c5).
% 2.28/2.46  0 [] ordinal($c5).
% 2.28/2.46  0 [] epsilon_transitive($c6).
% 2.28/2.46  0 [] epsilon_connected($c6).
% 2.28/2.46  0 [] ordinal($c6).
% 2.28/2.46  0 [] being_limit_ordinal($c6).
% 2.28/2.46  0 [] empty($c7).
% 2.28/2.46  0 [] relation($c7).
% 2.28/2.46  0 [] empty(A)|element($f3(A),powerset(A)).
% 2.28/2.46  0 [] empty(A)| -empty($f3(A)).
% 2.28/2.46  0 [] empty($c8).
% 2.28/2.46  0 [] element($c9,positive_rationals).
% 2.28/2.46  0 [] -empty($c9).
% 2.28/2.46  0 [] epsilon_transitive($c9).
% 2.28/2.46  0 [] epsilon_connected($c9).
% 2.28/2.46  0 [] ordinal($c9).
% 2.28/2.46  0 [] element($f4(A),powerset(A)).
% 2.28/2.46  0 [] empty($f4(A)).
% 2.28/2.46  0 [] relation($f4(A)).
% 2.28/2.46  0 [] function($f4(A)).
% 2.28/2.46  0 [] one_to_one($f4(A)).
% 2.28/2.46  0 [] epsilon_transitive($f4(A)).
% 2.28/2.46  0 [] epsilon_connected($f4(A)).
% 2.28/2.46  0 [] ordinal($f4(A)).
% 2.28/2.46  0 [] natural($f4(A)).
% 2.28/2.46  0 [] finite($f4(A)).
% 2.28/2.46  0 [] relation($c10).
% 2.28/2.46  0 [] empty($c10).
% 2.28/2.46  0 [] function($c10).
% 2.28/2.46  0 [] relation($c11).
% 2.28/2.46  0 [] function($c11).
% 2.28/2.46  0 [] one_to_one($c11).
% 2.28/2.46  0 [] empty($c11).
% 2.28/2.46  0 [] epsilon_transitive($c11).
% 2.28/2.46  0 [] epsilon_connected($c11).
% 2.28/2.46  0 [] ordinal($c11).
% 2.28/2.46  0 [] relation($c12).
% 2.28/2.46  0 [] function($c12).
% 2.28/2.46  0 [] transfinite_se_quence($c12).
% 2.28/2.46  0 [] ordinal_yielding($c12).
% 2.28/2.46  0 [] -empty($c13).
% 2.28/2.46  0 [] relation($c13).
% 2.28/2.46  0 [] element($f5(A),powerset(A)).
% 2.28/2.46  0 [] empty($f5(A)).
% 2.28/2.46  0 [] -empty($c14).
% 2.28/2.46  0 [] element($c15,positive_rationals).
% 2.28/2.46  0 [] empty($c15).
% 2.28/2.46  0 [] epsilon_transitive($c15).
% 2.28/2.46  0 [] epsilon_connected($c15).
% 2.28/2.46  0 [] ordinal($c15).
% 2.28/2.46  0 [] natural($c15).
% 2.28/2.46  0 [] empty(A)|element($f6(A),powerset(A)).
% 2.28/2.46  0 [] empty(A)| -empty($f6(A)).
% 2.28/2.46  0 [] empty(A)|finite($f6(A)).
% 2.28/2.46  0 [] relation($c16).
% 2.28/2.46  0 [] function($c16).
% 2.28/2.46  0 [] one_to_one($c16).
% 2.28/2.46  0 [] -empty($c17).
% 2.28/2.46  0 [] epsilon_transitive($c17).
% 2.28/2.46  0 [] epsilon_connected($c17).
% 2.28/2.46  0 [] ordinal($c17).
% 2.28/2.46  0 [] relation($c18).
% 2.28/2.46  0 [] relation_empty_yielding($c18).
% 2.28/2.46  0 [] relation($c19).
% 2.28/2.46  0 [] relation_empty_yielding($c19).
% 2.28/2.46  0 [] function($c19).
% 2.28/2.46  0 [] relation($c20).
% 2.28/2.46  0 [] function($c20).
% 2.28/2.46  0 [] transfinite_se_quence($c20).
% 2.28/2.46  0 [] relation($c21).
% 2.28/2.46  0 [] relation_non_empty($c21).
% 2.28/2.46  0 [] function($c21).
% 2.28/2.46  0 [] subset(A,A).
% 2.28/2.46  0 [] subset(A,powerset(union(A))).
% 2.28/2.46  0 [] -subset(A,B)| -finite(B)|finite(A).
% 2.28/2.46  0 [] -in(A,B)|element(A,B).
% 2.28/2.46  0 [] -finite(A)|finite(powerset(A)).
% 2.28/2.46  0 [] finite(A)| -finite(powerset(A)).
% 2.28/2.46  0 [] finite($c23)|finite(union($c23)).
% 2.28/2.46  0 [] -in(B,$c23)|finite(B)|finite(union($c23)).
% 2.28/2.46  0 [] -finite($c23)|in($c22,$c23)| -finite(union($c23)).
% 2.28/2.46  0 [] -finite($c23)| -finite($c22)| -finite(union($c23)).
% 2.28/2.46  0 [] -element(A,B)|empty(B)|in(A,B).
% 2.28/2.46  0 [] -element(A,powerset(B))|subset(A,B).
% 2.28/2.46  0 [] element(A,powerset(B))| -subset(A,B).
% 2.28/2.46  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.28/2.46  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.28/2.46  0 [] -empty(A)|A=empty_set.
% 2.28/2.46  0 [] -in(A,B)| -empty(B).
% 2.28/2.46  0 [] -empty(A)|A=B| -empty(B).
% 2.28/2.46  0 [] -in(A,B)|subset(A,union(B)).
% 2.28/2.46  end_of_list.
% 2.28/2.46  
% 2.28/2.46  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=4.
% 2.28/2.46  
% 2.28/2.46  This ia a non-Horn set with equality.  The strategy will be
% 2.28/2.46  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.28/2.46  deletion, with positive clauses in sos and nonpositive
% 2.28/2.46  clauses in usable.
% 2.28/2.46  
% 2.28/2.46     dependent: set(knuth_bendix).
% 2.28/2.46     dependent: set(anl_eq).
% 2.28/2.46     dependent: set(para_from).
% 2.28/2.46     dependent: set(para_into).
% 2.28/2.46     dependent: clear(para_from_right).
% 2.28/2.46     dependent: clear(para_into_right).
% 2.28/2.46     dependent: set(para_from_vars).
% 2.28/2.46     dependent: set(eq_units_both_ways).
% 2.28/2.46     dependent: set(dynamic_demod_all).
% 2.28/2.46     dependent: set(dynamic_demod).
% 2.28/2.46     dependent: set(order_eq).
% 2.28/2.46     dependent: set(back_demod).
% 2.28/2.46     dependent: set(lrpo).
% 2.28/2.46     dependent: set(hyper_res).
% 2.28/2.46     dependent: set(unit_deletion).
% 2.28/2.46     dependent: set(factor).
% 2.28/2.46  
% 2.28/2.46  ------------> process usable:
% 2.28/2.46  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.28/2.46  ** KEPT (pick-wt=7): 2 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 2.28/2.46  ** KEPT (pick-wt=7): 3 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 2.28/2.46  ** KEPT (pick-wt=7): 4 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 2.28/2.46  ** KEPT (pick-wt=4): 5 [] -empty(A)|finite(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 6 [] -empty(A)|function(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 7 [] -ordinal(A)|epsilon_transitive(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 8 [] -ordinal(A)|epsilon_connected(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 9 [] -empty(A)|relation(A).
% 2.28/2.46    Following clause subsumed by 7 during input processing: 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 2.28/2.46    Following clause subsumed by 8 during input processing: 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 2.28/2.46  ** KEPT (pick-wt=6): 10 [] -empty(A)| -ordinal(A)|natural(A).
% 2.28/2.46  ** KEPT (pick-wt=8): 11 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.28/2.46  ** KEPT (pick-wt=8): 12 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.28/2.46  ** KEPT (pick-wt=6): 13 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 14 [] -empty(A)|epsilon_transitive(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 15 [] -empty(A)|epsilon_connected(A).
% 2.28/2.46  ** KEPT (pick-wt=4): 16 [] -empty(A)|ordinal(A).
% 2.28/2.46    Following clause subsumed by 7 during input processing: 0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_transitive(A).
% 2.28/2.46    Following clause subsumed by 8 during input processing: 0 [] -element(A,positive_rationals)| -ordinal(A)|epsilon_connected(A).
% 2.28/2.46  ** KEPT (pick-wt=7): 17 [] -element(A,positive_rationals)| -ordinal(A)|natural(A).
% 2.28/2.46  ** KEPT (pick-wt=3): 18 [] -empty(powerset(A)).
% 2.28/2.46  ** KEPT (pick-wt=5): 19 [] -ordinal(A)|epsilon_transitive(union(A)).
% 2.28/2.46  ** KEPT (pick-wt=5): 20 [] -ordinal(A)|epsilon_connected(union(A)).
% 2.28/2.46  ** KEPT (pick-wt=5): 21 [] -ordinal(A)|ordinal(union(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 22 [] -empty(positive_rationals).
% 2.28/2.46  ** KEPT (pick-wt=9): 23 [] -finite(A)|in($f2(A),A)|finite(union(A)).
% 2.28/2.46  ** KEPT (pick-wt=8): 24 [] -finite(A)| -finite($f2(A))|finite(union(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 25 [] -empty($c1).
% 2.28/2.46  ** KEPT (pick-wt=2): 26 [] -empty($c2).
% 2.28/2.46  ** KEPT (pick-wt=5): 27 [] empty(A)| -empty($f3(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 28 [] -empty($c9).
% 2.28/2.46  ** KEPT (pick-wt=2): 29 [] -empty($c13).
% 2.28/2.46  ** KEPT (pick-wt=2): 30 [] -empty($c14).
% 2.28/2.46  ** KEPT (pick-wt=5): 31 [] empty(A)| -empty($f6(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 32 [] -empty($c17).
% 2.28/2.46  ** KEPT (pick-wt=7): 33 [] -subset(A,B)| -finite(B)|finite(A).
% 2.28/2.46  ** KEPT (pick-wt=6): 34 [] -in(A,B)|element(A,B).
% 2.28/2.46  ** KEPT (pick-wt=5): 35 [] -finite(A)|finite(powerset(A)).
% 2.28/2.46  ** KEPT (pick-wt=5): 36 [] finite(A)| -finite(powerset(A)).
% 2.28/2.46  ** KEPT (pick-wt=8): 37 [] -in(A,$c23)|finite(A)|finite(union($c23)).
% 2.28/2.46  ** KEPT (pick-wt=8): 38 [] -finite($c23)|in($c22,$c23)| -finite(union($c23)).
% 2.28/2.46  ** KEPT (pick-wt=7): 39 [] -finite($c23)| -finite($c22)| -finite(union($c23)).
% 2.28/2.46  ** KEPT (pick-wt=8): 40 [] -element(A,B)|empty(B)|in(A,B).
% 2.28/2.46  ** KEPT (pick-wt=7): 41 [] -element(A,powerset(B))|subset(A,B).
% 2.28/2.46  ** KEPT (pick-wt=7): 42 [] element(A,powerset(B))| -subset(A,B).
% 2.28/2.46  ** KEPT (pick-wt=10): 43 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.28/2.46  ** KEPT (pick-wt=9): 44 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.28/2.46  ** KEPT (pick-wt=5): 45 [] -empty(A)|A=empty_set.
% 2.28/2.46  ** KEPT (pick-wt=5): 46 [] -in(A,B)| -empty(B).
% 2.28/2.46  ** KEPT (pick-wt=7): 47 [] -empty(A)|A=B| -empty(B).
% 2.28/2.46  ** KEPT (pick-wt=7): 48 [] -in(A,B)|subset(A,union(B)).
% 2.28/2.46  
% 2.28/2.46  ------------> process sos:
% 2.28/2.46  ** KEPT (pick-wt=3): 52 [] A=A.
% 2.28/2.46  ** KEPT (pick-wt=4): 53 [] element($f1(A),A).
% 2.28/2.46  ** KEPT (pick-wt=2): 54 [] empty(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 55 [] relation(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 56 [] relation_empty_yielding(empty_set).
% 2.28/2.46    Following clause subsumed by 54 during input processing: 0 [] empty(empty_set).
% 2.28/2.46    Following clause subsumed by 55 during input processing: 0 [] relation(empty_set).
% 2.28/2.46    Following clause subsumed by 56 during input processing: 0 [] relation_empty_yielding(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 57 [] function(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 58 [] one_to_one(empty_set).
% 2.28/2.46    Following clause subsumed by 54 during input processing: 0 [] empty(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 59 [] epsilon_transitive(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 60 [] epsilon_connected(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 61 [] ordinal(empty_set).
% 2.28/2.46    Following clause subsumed by 54 during input processing: 0 [] empty(empty_set).
% 2.28/2.46    Following clause subsumed by 55 during input processing: 0 [] relation(empty_set).
% 2.28/2.46  ** KEPT (pick-wt=2): 62 [] epsilon_transitive($c1).
% 2.28/2.46  ** KEPT (pick-wt=2): 63 [] epsilon_connected($c1).
% 2.28/2.46  ** KEPT (pick-wt=2): 64 [] ordinal($c1).
% 2.28/2.46  ** KEPT (pick-wt=2): 65 [] natural($c1).
% 2.28/2.46  ** KEPT (pick-wt=2): 66 [] finite($c2).
% 2.28/2.46  ** KEPT (pick-wt=2): 67 [] relation($c3).
% 2.28/2.46  ** KEPT (pick-wt=2): 68 [] function($c3).
% 2.28/2.46  ** KEPT (pick-wt=2): 69 [] function_yielding($c3).
% 2.28/2.46  ** KEPT (pick-wt=2): 70 [] relation($c4).
% 2.28/2.46  ** KEPT (pick-wt=2): 71 [] function($c4).
% 2.28/2.46  ** KEPT (pick-wt=2): 72 [] epsilon_transitive($c5).
% 2.28/2.46  ** KEPT (pick-wt=2): 73 [] epsilon_connected($c5).
% 2.28/2.46  ** KEPT (pick-wt=2): 74 [] ordinal($c5).
% 2.28/2.46  ** KEPT (pick-wt=2): 75 [] epsilon_transitive($c6).
% 2.28/2.46  ** KEPT (pick-wt=2): 76 [] epsilon_connected($c6).
% 2.28/2.46  ** KEPT (pick-wt=2): 77 [] ordinal($c6).
% 2.28/2.46  ** KEPT (pick-wt=2): 78 [] being_limit_ordinal($c6).
% 2.28/2.46  ** KEPT (pick-wt=2): 79 [] empty($c7).
% 2.28/2.46  ** KEPT (pick-wt=2): 80 [] relation($c7).
% 2.28/2.46  ** KEPT (pick-wt=7): 81 [] empty(A)|element($f3(A),powerset(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 82 [] empty($c8).
% 2.28/2.46  ** KEPT (pick-wt=3): 83 [] element($c9,positive_rationals).
% 2.28/2.46  ** KEPT (pick-wt=2): 84 [] epsilon_transitive($c9).
% 2.28/2.46  ** KEPT (pick-wt=2): 85 [] epsilon_connected($c9).
% 2.28/2.46  ** KEPT (pick-wt=2): 86 [] ordinal($c9).
% 2.28/2.46  ** KEPT (pick-wt=5): 87 [] element($f4(A),powerset(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 88 [] empty($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 89 [] relation($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 90 [] function($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 91 [] one_to_one($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 92 [] epsilon_transitive($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 93 [] epsilon_connected($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 94 [] ordinal($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 95 [] natural($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=3): 96 [] finite($f4(A)).
% 2.28/2.46  ** KEPT (pick-wt=2): 97 [] relation($c10).
% 2.28/2.46  ** KEPT (pick-wt=2): 98 [] empty($c10).
% 2.28/2.46  ** KEPT (pick-wt=2): 99 [] function($c10).
% 2.28/2.46  ** KEPT (pick-wt=2): 100 [] relation($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 101 [] function($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 102 [] one_to_one($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 103 [] empty($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 104 [] epsilon_transitive($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 105 [] epsilon_connected($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 106 [] ordinal($c11).
% 2.28/2.46  ** KEPT (pick-wt=2): 107 [] relation($c12).
% 2.28/2.46  ** KEPT (pick-wt=2): 108 [] function($c12).
% 2.28/2.46  ** KEPT (pick-wt=2): 109 [] transfinite_se_quence($c12).
% 2.28/2.46  ** KEPT (pick-wt=2): 110 [] ordinal_yielding($c12).
% 2.28/2.46  ** KEPT (pick-wt=2): 111 [] relation($c13).
% 5.30/5.47  ** KEPT (pick-wt=5): 112 [] element($f5(A),powerset(A)).
% 5.30/5.47  ** KEPT (pick-wt=3): 113 [] empty($f5(A)).
% 5.30/5.47  ** KEPT (pick-wt=3): 114 [] element($c15,positive_rationals).
% 5.30/5.47  ** KEPT (pick-wt=2): 115 [] empty($c15).
% 5.30/5.47  ** KEPT (pick-wt=2): 116 [] epsilon_transitive($c15).
% 5.30/5.47  ** KEPT (pick-wt=2): 117 [] epsilon_connected($c15).
% 5.30/5.47  ** KEPT (pick-wt=2): 118 [] ordinal($c15).
% 5.30/5.47  ** KEPT (pick-wt=2): 119 [] natural($c15).
% 5.30/5.47  ** KEPT (pick-wt=7): 120 [] empty(A)|element($f6(A),powerset(A)).
% 5.30/5.47  ** KEPT (pick-wt=5): 121 [] empty(A)|finite($f6(A)).
% 5.30/5.47  ** KEPT (pick-wt=2): 122 [] relation($c16).
% 5.30/5.47  ** KEPT (pick-wt=2): 123 [] function($c16).
% 5.30/5.47  ** KEPT (pick-wt=2): 124 [] one_to_one($c16).
% 5.30/5.47  ** KEPT (pick-wt=2): 125 [] epsilon_transitive($c17).
% 5.30/5.47  ** KEPT (pick-wt=2): 126 [] epsilon_connected($c17).
% 5.30/5.47  ** KEPT (pick-wt=2): 127 [] ordinal($c17).
% 5.30/5.47  ** KEPT (pick-wt=2): 128 [] relation($c18).
% 5.30/5.47  ** KEPT (pick-wt=2): 129 [] relation_empty_yielding($c18).
% 5.30/5.47  ** KEPT (pick-wt=2): 130 [] relation($c19).
% 5.30/5.47  ** KEPT (pick-wt=2): 131 [] relation_empty_yielding($c19).
% 5.30/5.47  ** KEPT (pick-wt=2): 132 [] function($c19).
% 5.30/5.47  ** KEPT (pick-wt=2): 133 [] relation($c20).
% 5.30/5.47  ** KEPT (pick-wt=2): 134 [] function($c20).
% 5.30/5.47  ** KEPT (pick-wt=2): 135 [] transfinite_se_quence($c20).
% 5.30/5.47  ** KEPT (pick-wt=2): 136 [] relation($c21).
% 5.30/5.47  ** KEPT (pick-wt=2): 137 [] relation_non_empty($c21).
% 5.30/5.47  ** KEPT (pick-wt=2): 138 [] function($c21).
% 5.30/5.47  ** KEPT (pick-wt=3): 139 [] subset(A,A).
% 5.30/5.47  ** KEPT (pick-wt=5): 140 [] subset(A,powerset(union(A))).
% 5.30/5.47  ** KEPT (pick-wt=5): 141 [] finite($c23)|finite(union($c23)).
% 5.30/5.47    Following clause subsumed by 52 during input processing: 0 [copy,52,flip.1] A=A.
% 5.30/5.47  52 back subsumes 51.
% 5.30/5.47  
% 5.30/5.47  ======= end of input processing =======
% 5.30/5.47  
% 5.30/5.47  =========== start of search ===========
% 5.30/5.47  
% 5.30/5.47  
% 5.30/5.47  Resetting weight limit to 5.
% 5.30/5.47  
% 5.30/5.47  
% 5.30/5.47  Resetting weight limit to 5.
% 5.30/5.47  
% 5.30/5.47  sos_size=877
% 5.30/5.47  
% 5.30/5.47  Search stopped because sos empty.
% 5.30/5.47  
% 5.30/5.47  
% 5.30/5.47  Search stopped because sos empty.
% 5.30/5.47  
% 5.30/5.47  ============ end of search ============
% 5.30/5.47  
% 5.30/5.47  -------------- statistics -------------
% 5.30/5.47  clauses given               1176
% 5.30/5.47  clauses generated         492382
% 5.30/5.47  clauses kept                1482
% 5.30/5.47  clauses forward subsumed    4195
% 5.30/5.47  clauses back subsumed        201
% 5.30/5.47  Kbytes malloced             6835
% 5.30/5.47  
% 5.30/5.47  ----------- times (seconds) -----------
% 5.30/5.47  user CPU time          3.01          (0 hr, 0 min, 3 sec)
% 5.30/5.47  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 5.30/5.47  wall-clock time        5             (0 hr, 0 min, 5 sec)
% 5.30/5.47  
% 5.30/5.47  Process 12679 finished Wed Jul 27 08:03:47 2022
% 5.30/5.47  Otter interrupted
% 5.30/5.47  PROOF NOT FOUND
%------------------------------------------------------------------------------