TSTP Solution File: NUM397+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : NUM397+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:08:14 EDT 2022

% Result   : Timeout 299.85s 300.04s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : NUM397+1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Jul 27 09:38:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 1.95/2.12  ----- Otter 3.3f, August 2004 -----
% 1.95/2.12  The process was started by sandbox on n024.cluster.edu,
% 1.95/2.12  Wed Jul 27 09:38:55 2022
% 1.95/2.12  The command was "./otter".  The process ID is 9610.
% 1.95/2.12  
% 1.95/2.12  set(prolog_style_variables).
% 1.95/2.12  set(auto).
% 1.95/2.12     dependent: set(auto1).
% 1.95/2.12     dependent: set(process_input).
% 1.95/2.12     dependent: clear(print_kept).
% 1.95/2.12     dependent: clear(print_new_demod).
% 1.95/2.12     dependent: clear(print_back_demod).
% 1.95/2.12     dependent: clear(print_back_sub).
% 1.95/2.12     dependent: set(control_memory).
% 1.95/2.12     dependent: assign(max_mem, 12000).
% 1.95/2.12     dependent: assign(pick_given_ratio, 4).
% 1.95/2.12     dependent: assign(stats_level, 1).
% 1.95/2.12     dependent: assign(max_seconds, 10800).
% 1.95/2.12  clear(print_given).
% 1.95/2.12  
% 1.95/2.12  formula_list(usable).
% 1.95/2.12  all A (A=A).
% 1.95/2.12  all A B (in(A,B)-> -in(B,A)).
% 1.95/2.12  all A (empty(A)->function(A)).
% 1.95/2.12  all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 1.95/2.12  all A (empty(A)->relation(A)).
% 1.95/2.12  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.95/2.12  all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 1.95/2.12  all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.95/2.12  all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,B)|ordinal_subset(B,A)).
% 1.95/2.12  all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 1.95/2.12  all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 1.95/2.12  all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 1.95/2.12  all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 1.95/2.12  all A exists B element(B,A).
% 1.95/2.12  empty(empty_set).
% 1.95/2.12  relation(empty_set).
% 1.95/2.12  relation_empty_yielding(empty_set).
% 1.95/2.12  empty(empty_set).
% 1.95/2.12  relation(empty_set).
% 1.95/2.12  relation_empty_yielding(empty_set).
% 1.95/2.12  function(empty_set).
% 1.95/2.12  one_to_one(empty_set).
% 1.95/2.12  empty(empty_set).
% 1.95/2.12  epsilon_transitive(empty_set).
% 1.95/2.12  epsilon_connected(empty_set).
% 1.95/2.12  ordinal(empty_set).
% 1.95/2.12  empty(empty_set).
% 1.95/2.12  relation(empty_set).
% 1.95/2.12  exists A (relation(A)&function(A)).
% 1.95/2.12  exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.95/2.12  exists A (empty(A)&relation(A)).
% 1.95/2.12  exists A empty(A).
% 1.95/2.12  exists A (relation(A)&empty(A)&function(A)).
% 1.95/2.12  exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 1.95/2.12  exists A (-empty(A)&relation(A)).
% 1.95/2.12  exists A (-empty(A)).
% 1.95/2.12  exists A (relation(A)&function(A)&one_to_one(A)).
% 1.95/2.12  exists A (relation(A)&relation_empty_yielding(A)).
% 1.95/2.12  exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 1.95/2.12  exists A (relation(A)&relation_non_empty(A)&function(A)).
% 1.95/2.12  all A B (ordinal(A)&ordinal(B)-> (ordinal_subset(A,B)<->subset(A,B))).
% 1.95/2.12  all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,A)).
% 1.95/2.12  all A B subset(A,A).
% 1.95/2.12  all A B (in(A,B)->element(A,B)).
% 1.95/2.12  all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 1.95/2.12  all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 1.95/2.12  all A B (element(A,B)->empty(B)|in(A,B)).
% 1.95/2.12  -(all A (ordinal(A)->ordinal(union(A)))).
% 1.95/2.12  all A B (element(A,powerset(B))<->subset(A,B)).
% 1.95/2.12  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.95/2.12  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.95/2.12  all A (empty(A)->A=empty_set).
% 1.95/2.12  all A B (-(in(A,B)&empty(B))).
% 1.95/2.12  all A B (-(empty(A)&A!=B&empty(B))).
% 1.95/2.12  all A B (in(A,B)->subset(A,union(B))).
% 1.95/2.12  end_of_list.
% 1.95/2.12  
% 1.95/2.12  -------> usable clausifies to:
% 1.95/2.12  
% 1.95/2.12  list(usable).
% 1.95/2.12  0 [] A=A.
% 1.95/2.12  0 [] -in(A,B)| -in(B,A).
% 1.95/2.12  0 [] -empty(A)|function(A).
% 1.95/2.12  0 [] -ordinal(A)|epsilon_transitive(A).
% 1.95/2.12  0 [] -ordinal(A)|epsilon_connected(A).
% 1.95/2.12  0 [] -empty(A)|relation(A).
% 1.95/2.12  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.95/2.12  0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.95/2.12  0 [] -empty(A)|epsilon_transitive(A).
% 1.95/2.12  0 [] -empty(A)|epsilon_connected(A).
% 1.95/2.12  0 [] -empty(A)|ordinal(A).
% 1.95/2.12  0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 1.95/2.12  0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 1.95/2.12  0 [] epsilon_transitive(A)|in($f1(A),A).
% 1.95/2.12  0 [] epsilon_transitive(A)| -subset($f1(A),A).
% 1.95/2.12  0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 1.95/2.12  0 [] epsilon_connected(A)|in($f3(A),A).
% 1.95/2.12  0 [] epsilon_connected(A)|in($f2(A),A).
% 1.95/2.12  0 [] epsilon_connected(A)| -in($f3(A),$f2(A)).
% 1.95/2.12  0 [] epsilon_connected(A)|$f3(A)!=$f2(A).
% 1.95/2.12  0 [] epsilon_connected(A)| -in($f2(A),$f3(A)).
% 1.95/2.12  0 [] -ordinal(A)|epsilon_transitive(A).
% 1.95/2.12  0 [] -ordinal(A)|epsilon_connected(A).
% 1.95/2.12  0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 1.95/2.12  0 [] B!=union(A)| -in(C,B)|in(C,$f4(A,B,C)).
% 1.95/2.12  0 [] B!=union(A)| -in(C,B)|in($f4(A,B,C),A).
% 1.95/2.12  0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 1.95/2.12  0 [] B=union(A)|in($f6(A,B),B)|in($f6(A,B),$f5(A,B)).
% 1.95/2.12  0 [] B=union(A)|in($f6(A,B),B)|in($f5(A,B),A).
% 1.95/2.12  0 [] B=union(A)| -in($f6(A,B),B)| -in($f6(A,B),X1)| -in(X1,A).
% 1.95/2.12  0 [] element($f7(A),A).
% 1.95/2.12  0 [] empty(empty_set).
% 1.95/2.12  0 [] relation(empty_set).
% 1.95/2.12  0 [] relation_empty_yielding(empty_set).
% 1.95/2.12  0 [] empty(empty_set).
% 1.95/2.12  0 [] relation(empty_set).
% 1.95/2.12  0 [] relation_empty_yielding(empty_set).
% 1.95/2.12  0 [] function(empty_set).
% 1.95/2.12  0 [] one_to_one(empty_set).
% 1.95/2.12  0 [] empty(empty_set).
% 1.95/2.12  0 [] epsilon_transitive(empty_set).
% 1.95/2.12  0 [] epsilon_connected(empty_set).
% 1.95/2.12  0 [] ordinal(empty_set).
% 1.95/2.12  0 [] empty(empty_set).
% 1.95/2.12  0 [] relation(empty_set).
% 1.95/2.12  0 [] relation($c1).
% 1.95/2.12  0 [] function($c1).
% 1.95/2.12  0 [] epsilon_transitive($c2).
% 1.95/2.12  0 [] epsilon_connected($c2).
% 1.95/2.12  0 [] ordinal($c2).
% 1.95/2.12  0 [] empty($c3).
% 1.95/2.12  0 [] relation($c3).
% 1.95/2.12  0 [] empty($c4).
% 1.95/2.12  0 [] relation($c5).
% 1.95/2.12  0 [] empty($c5).
% 1.95/2.12  0 [] function($c5).
% 1.95/2.12  0 [] relation($c6).
% 1.95/2.12  0 [] function($c6).
% 1.95/2.12  0 [] one_to_one($c6).
% 1.95/2.12  0 [] empty($c6).
% 1.95/2.12  0 [] epsilon_transitive($c6).
% 1.95/2.12  0 [] epsilon_connected($c6).
% 1.95/2.12  0 [] ordinal($c6).
% 1.95/2.12  0 [] -empty($c7).
% 1.95/2.12  0 [] relation($c7).
% 1.95/2.12  0 [] -empty($c8).
% 1.95/2.12  0 [] relation($c9).
% 1.95/2.12  0 [] function($c9).
% 1.95/2.12  0 [] one_to_one($c9).
% 1.95/2.12  0 [] relation($c10).
% 1.95/2.12  0 [] relation_empty_yielding($c10).
% 1.95/2.12  0 [] relation($c11).
% 1.95/2.12  0 [] relation_empty_yielding($c11).
% 1.95/2.12  0 [] function($c11).
% 1.95/2.12  0 [] relation($c12).
% 1.95/2.12  0 [] relation_non_empty($c12).
% 1.95/2.12  0 [] function($c12).
% 1.95/2.12  0 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 1.95/2.12  0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 1.95/2.12  0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,A).
% 1.95/2.12  0 [] subset(A,A).
% 1.95/2.12  0 [] -in(A,B)|element(A,B).
% 1.95/2.12  0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 1.95/2.12  0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 1.95/2.12  0 [] -element(A,B)|empty(B)|in(A,B).
% 1.95/2.12  0 [] ordinal($c13).
% 1.95/2.12  0 [] -ordinal(union($c13)).
% 1.95/2.12  0 [] -element(A,powerset(B))|subset(A,B).
% 1.95/2.12  0 [] element(A,powerset(B))| -subset(A,B).
% 1.95/2.12  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.95/2.12  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.95/2.12  0 [] -empty(A)|A=empty_set.
% 1.95/2.12  0 [] -in(A,B)| -empty(B).
% 1.95/2.12  0 [] -empty(A)|A=B| -empty(B).
% 1.95/2.12  0 [] -in(A,B)|subset(A,union(B)).
% 1.95/2.12  end_of_list.
% 1.95/2.12  
% 1.95/2.12  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=6.
% 1.95/2.12  
% 1.95/2.12  This ia a non-Horn set with equality.  The strategy will be
% 1.95/2.12  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.95/2.12  deletion, with positive clauses in sos and nonpositive
% 1.95/2.12  clauses in usable.
% 1.95/2.12  
% 1.95/2.12     dependent: set(knuth_bendix).
% 1.95/2.12     dependent: set(anl_eq).
% 1.95/2.12     dependent: set(para_from).
% 1.95/2.12     dependent: set(para_into).
% 1.95/2.12     dependent: clear(para_from_right).
% 1.95/2.12     dependent: clear(para_into_right).
% 1.95/2.12     dependent: set(para_from_vars).
% 1.95/2.12     dependent: set(eq_units_both_ways).
% 1.95/2.12     dependent: set(dynamic_demod_all).
% 1.95/2.12     dependent: set(dynamic_demod).
% 1.95/2.12     dependent: set(order_eq).
% 1.95/2.12     dependent: set(back_demod).
% 1.95/2.12     dependent: set(lrpo).
% 1.95/2.12     dependent: set(hyper_res).
% 1.95/2.12     dependent: set(unit_deletion).
% 1.95/2.12     dependent: set(factor).
% 1.95/2.12  
% 1.95/2.12  ------------> process usable:
% 1.95/2.12  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.95/2.12  ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.95/2.12  ** KEPT (pick-wt=4): 3 [] -ordinal(A)|epsilon_transitive(A).
% 1.95/2.12  ** KEPT (pick-wt=4): 4 [] -ordinal(A)|epsilon_connected(A).
% 1.95/2.12  ** KEPT (pick-wt=4): 5 [] -empty(A)|relation(A).
% 1.95/2.12  ** KEPT (pick-wt=8): 6 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.95/2.12  ** KEPT (pick-wt=6): 7 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 1.95/2.12  ** KEPT (pick-wt=4): 8 [] -empty(A)|epsilon_transitive(A).
% 1.95/2.12  ** KEPT (pick-wt=4): 9 [] -empty(A)|epsilon_connected(A).
% 1.95/2.12  ** KEPT (pick-wt=4): 10 [] -empty(A)|ordinal(A).
% 1.95/2.12  ** KEPT (pick-wt=10): 11 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 1.95/2.12  ** KEPT (pick-wt=8): 12 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 1.95/2.12  ** KEPT (pick-wt=6): 13 [] epsilon_transitive(A)| -subset($f1(A),A).
% 1.95/2.12  ** KEPT (pick-wt=17): 14 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 1.95/2.12  ** KEPT (pick-wt=7): 15 [] epsilon_connected(A)| -in($f3(A),$f2(A)).
% 1.95/2.12  ** KEPT (pick-wt=7): 16 [] epsilon_connected(A)|$f3(A)!=$f2(A).
% 1.95/2.12  ** KEPT (pick-wt=7): 17 [] epsilon_connected(A)| -in($f2(A),$f3(A)).
% 1.98/2.12    Following clause subsumed by 3 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 1.98/2.12    Following clause subsumed by 4 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 1.98/2.12    Following clause subsumed by 7 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 1.98/2.12  ** KEPT (pick-wt=13): 18 [] A!=union(B)| -in(C,A)|in(C,$f4(B,A,C)).
% 1.98/2.12  ** KEPT (pick-wt=13): 19 [] A!=union(B)| -in(C,A)|in($f4(B,A,C),B).
% 1.98/2.12  ** KEPT (pick-wt=13): 20 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 1.98/2.12  ** KEPT (pick-wt=17): 21 [] A=union(B)| -in($f6(B,A),A)| -in($f6(B,A),C)| -in(C,B).
% 1.98/2.12  ** KEPT (pick-wt=2): 22 [] -empty($c7).
% 1.98/2.12  ** KEPT (pick-wt=2): 23 [] -empty($c8).
% 1.98/2.12  ** KEPT (pick-wt=10): 24 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 1.98/2.12  ** KEPT (pick-wt=10): 25 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 1.98/2.12  ** KEPT (pick-wt=5): 27 [copy,26,factor_simp] -ordinal(A)|ordinal_subset(A,A).
% 1.98/2.12  ** KEPT (pick-wt=6): 28 [] -in(A,B)|element(A,B).
% 1.98/2.12  ** KEPT (pick-wt=7): 29 [] -ordinal(A)| -in(B,A)|ordinal(B).
% 1.98/2.12  ** KEPT (pick-wt=13): 30 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 1.98/2.12  ** KEPT (pick-wt=8): 31 [] -element(A,B)|empty(B)|in(A,B).
% 1.98/2.12  ** KEPT (pick-wt=3): 32 [] -ordinal(union($c13)).
% 1.98/2.12  ** KEPT (pick-wt=7): 33 [] -element(A,powerset(B))|subset(A,B).
% 1.98/2.12  ** KEPT (pick-wt=7): 34 [] element(A,powerset(B))| -subset(A,B).
% 1.98/2.12  ** KEPT (pick-wt=10): 35 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.98/2.12  ** KEPT (pick-wt=9): 36 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.98/2.12  ** KEPT (pick-wt=5): 37 [] -empty(A)|A=empty_set.
% 1.98/2.12  ** KEPT (pick-wt=5): 38 [] -in(A,B)| -empty(B).
% 1.98/2.12  ** KEPT (pick-wt=7): 39 [] -empty(A)|A=B| -empty(B).
% 1.98/2.12  ** KEPT (pick-wt=7): 40 [] -in(A,B)|subset(A,union(B)).
% 1.98/2.12  
% 1.98/2.12  ------------> process sos:
% 1.98/2.12  ** KEPT (pick-wt=3): 47 [] A=A.
% 1.98/2.12  ** KEPT (pick-wt=6): 48 [] epsilon_transitive(A)|in($f1(A),A).
% 1.98/2.12  ** KEPT (pick-wt=6): 49 [] epsilon_connected(A)|in($f3(A),A).
% 1.98/2.12  ** KEPT (pick-wt=6): 50 [] epsilon_connected(A)|in($f2(A),A).
% 1.98/2.12  ** KEPT (pick-wt=16): 51 [] A=union(B)|in($f6(B,A),A)|in($f6(B,A),$f5(B,A)).
% 1.98/2.12  ** KEPT (pick-wt=14): 52 [] A=union(B)|in($f6(B,A),A)|in($f5(B,A),B).
% 1.98/2.12  ** KEPT (pick-wt=4): 53 [] element($f7(A),A).
% 1.98/2.12  ** KEPT (pick-wt=2): 54 [] empty(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 55 [] relation(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 56 [] relation_empty_yielding(empty_set).
% 1.98/2.12    Following clause subsumed by 54 during input processing: 0 [] empty(empty_set).
% 1.98/2.12    Following clause subsumed by 55 during input processing: 0 [] relation(empty_set).
% 1.98/2.12    Following clause subsumed by 56 during input processing: 0 [] relation_empty_yielding(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 57 [] function(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 58 [] one_to_one(empty_set).
% 1.98/2.12    Following clause subsumed by 54 during input processing: 0 [] empty(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 59 [] epsilon_transitive(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 60 [] epsilon_connected(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 61 [] ordinal(empty_set).
% 1.98/2.12    Following clause subsumed by 54 during input processing: 0 [] empty(empty_set).
% 1.98/2.12    Following clause subsumed by 55 during input processing: 0 [] relation(empty_set).
% 1.98/2.12  ** KEPT (pick-wt=2): 62 [] relation($c1).
% 1.98/2.12  ** KEPT (pick-wt=2): 63 [] function($c1).
% 1.98/2.12  ** KEPT (pick-wt=2): 64 [] epsilon_transitive($c2).
% 1.98/2.12  ** KEPT (pick-wt=2): 65 [] epsilon_connected($c2).
% 1.98/2.12  ** KEPT (pick-wt=2): 66 [] ordinal($c2).
% 1.98/2.12  ** KEPT (pick-wt=2): 67 [] empty($c3).
% 1.98/2.12  ** KEPT (pick-wt=2): 68 [] relation($c3).
% 1.98/2.12  ** KEPT (pick-wt=2): 69 [] empty($c4).
% 1.98/2.12  ** KEPT (pick-wt=2): 70 [] relation($c5).
% 1.98/2.12  ** KEPT (pick-wt=2): 71 [] empty($c5).
% 1.98/2.12  ** KEPT (pick-wt=2): 72 [] function($c5).
% 1.98/2.12  ** KEPT (pick-wt=2): 73 [] relation($c6).
% 1.98/2.12  ** KEPT (pick-wt=2): 74 [] function($c6).
% 1.98/2.12  ** KEPT (pick-wt=2): 75 [] one_to_one($c6).
% 1.98/2.12  ** KEPT (pick-wt=2): 76 [] empty($c6).
% 1.98/2.12  ** KEPT (pick-wt=2): 77 [] epsilon_transitive($c6).
% 1.98/2.12  ** KEPT (pick-wt=2): 78 [] epsilon_connected($c6).
% 1.98/2.12  ** KEPT (pick-wt=2): 79 [] ordinal($c6).
% 1.98/2.12  ** KEPT (pick-wt=2): 80 [] relation($c7).
% 1.98/2.12  ** KEPT (pick-wt=2): 81 [] relation($c9).
% 1.98/2.12  ** KEPT (pick-wt=2): 82 [] function($c9).
% 1.98/2.12  ** KEPT (pick-wt=2): 83 [] one_to_one($c9).
% 1.98/2.12  ** KEPT (pick-wt=2): 84 Alarm clock 
% 299.85/300.04  Otter interrupted
% 299.85/300.04  PROOF NOT FOUND
%------------------------------------------------------------------------------