TSTP Solution File: SEU220+3 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n010.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 13:15:13 EDT 2022

% Result   : Unknown 59.71s 59.88s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU220+3 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n010.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 07:28:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.96/2.16  ----- Otter 3.3f, August 2004 -----
% 1.96/2.16  The process was started by sandbox on n010.cluster.edu,
% 1.96/2.16  Wed Jul 27 07:28:55 2022
% 1.96/2.16  The command was "./otter".  The process ID is 28109.
% 1.96/2.16  
% 1.96/2.16  set(prolog_style_variables).
% 1.96/2.16  set(auto).
% 1.96/2.16     dependent: set(auto1).
% 1.96/2.16     dependent: set(process_input).
% 1.96/2.16     dependent: clear(print_kept).
% 1.96/2.16     dependent: clear(print_new_demod).
% 1.96/2.16     dependent: clear(print_back_demod).
% 1.96/2.16     dependent: clear(print_back_sub).
% 1.96/2.16     dependent: set(control_memory).
% 1.96/2.16     dependent: assign(max_mem, 12000).
% 1.96/2.16     dependent: assign(pick_given_ratio, 4).
% 1.96/2.16     dependent: assign(stats_level, 1).
% 1.96/2.16     dependent: assign(max_seconds, 10800).
% 1.96/2.16  clear(print_given).
% 1.96/2.16  
% 1.96/2.16  formula_list(usable).
% 1.96/2.16  all A (A=A).
% 1.96/2.16  all A B (in(A,B)-> -in(B,A)).
% 1.96/2.16  all A (empty(A)->function(A)).
% 1.96/2.16  all A (empty(A)->relation(A)).
% 1.96/2.16  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.96/2.16  all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 1.96/2.16  all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 1.96/2.16  all A exists B element(B,A).
% 1.96/2.16  all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 1.96/2.16  empty(empty_set).
% 1.96/2.16  relation(empty_set).
% 1.96/2.16  relation_empty_yielding(empty_set).
% 1.96/2.16  all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 1.96/2.16  all A (-empty(powerset(A))).
% 1.96/2.16  empty(empty_set).
% 1.96/2.16  empty(empty_set).
% 1.96/2.16  relation(empty_set).
% 1.96/2.16  all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.96/2.16  all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 1.96/2.16  all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.96/2.16  all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 1.96/2.16  all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 1.96/2.16  exists A (relation(A)&function(A)).
% 1.96/2.16  exists A (empty(A)&relation(A)).
% 1.96/2.16  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.96/2.16  exists A empty(A).
% 1.96/2.16  exists A (relation(A)&empty(A)&function(A)).
% 1.96/2.16  exists A (-empty(A)&relation(A)).
% 1.96/2.16  all A exists B (element(B,powerset(A))&empty(B)).
% 1.96/2.16  exists A (-empty(A)).
% 1.96/2.16  exists A (relation(A)&function(A)&one_to_one(A)).
% 1.96/2.16  exists A (relation(A)&relation_empty_yielding(A)).
% 1.96/2.16  all A B subset(A,A).
% 1.96/2.16  all A B (in(A,B)->element(A,B)).
% 1.96/2.16  all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(B))->apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))).
% 1.96/2.16  all A B (element(A,B)->empty(B)|in(A,B)).
% 1.96/2.16  all A B (element(A,powerset(B))<->subset(A,B)).
% 1.96/2.16  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.96/2.16  all A (relation(A)&function(A)-> (one_to_one(A)-> (all B (relation(B)&function(B)-> (B=function_inverse(A)<->relation_dom(B)=relation_rng(A)& (all C D ((in(C,relation_rng(A))&D=apply(B,C)->in(D,relation_dom(A))&C=apply(A,D))& (in(D,relation_dom(A))&C=apply(A,D)->in(C,relation_rng(A))&D=apply(B,C))))))))).
% 1.96/2.16  all A (relation(A)&function(A)-> (one_to_one(A)->relation_rng(A)=relation_dom(function_inverse(A))&relation_dom(A)=relation_rng(function_inverse(A)))).
% 1.96/2.16  -(all A B (relation(B)&function(B)-> (one_to_one(B)&in(A,relation_rng(B))->A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A)))).
% 1.96/2.16  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.96/2.16  all A (empty(A)->A=empty_set).
% 1.96/2.16  all A B (-(in(A,B)&empty(B))).
% 1.96/2.16  all A B (-(empty(A)&A!=B&empty(B))).
% 1.96/2.16  end_of_list.
% 1.96/2.16  
% 1.96/2.16  -------> usable clausifies to:
% 1.96/2.16  
% 1.96/2.16  list(usable).
% 1.96/2.16  0 [] A=A.
% 1.96/2.16  0 [] -in(A,B)| -in(B,A).
% 1.96/2.16  0 [] -empty(A)|function(A).
% 1.96/2.16  0 [] -empty(A)|relation(A).
% 1.96/2.16  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.96/2.16  0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.96/2.16  0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.96/2.16  0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.96/2.16  0 [] element($f1(A),A).
% 1.96/2.16  0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.96/2.16  0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.96/2.16  0 [] empty(empty_set).
% 1.96/2.16  0 [] relation(empty_set).
% 1.96/2.16  0 [] relation_empty_yielding(empty_set).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.96/2.16  0 [] -empty(powerset(A)).
% 1.96/2.16  0 [] empty(empty_set).
% 1.96/2.16  0 [] empty(empty_set).
% 1.96/2.16  0 [] relation(empty_set).
% 1.96/2.16  0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.96/2.16  0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.96/2.16  0 [] -empty(A)|empty(relation_dom(A)).
% 1.96/2.16  0 [] -empty(A)|relation(relation_dom(A)).
% 1.96/2.16  0 [] -empty(A)|empty(relation_rng(A)).
% 1.96/2.16  0 [] -empty(A)|relation(relation_rng(A)).
% 1.96/2.16  0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.96/2.16  0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.96/2.16  0 [] relation($c1).
% 1.96/2.16  0 [] function($c1).
% 1.96/2.16  0 [] empty($c2).
% 1.96/2.16  0 [] relation($c2).
% 1.96/2.16  0 [] empty(A)|element($f2(A),powerset(A)).
% 1.96/2.16  0 [] empty(A)| -empty($f2(A)).
% 1.96/2.16  0 [] empty($c3).
% 1.96/2.16  0 [] relation($c4).
% 1.96/2.16  0 [] empty($c4).
% 1.96/2.16  0 [] function($c4).
% 1.96/2.16  0 [] -empty($c5).
% 1.96/2.16  0 [] relation($c5).
% 1.96/2.16  0 [] element($f3(A),powerset(A)).
% 1.96/2.16  0 [] empty($f3(A)).
% 1.96/2.16  0 [] -empty($c6).
% 1.96/2.16  0 [] relation($c7).
% 1.96/2.16  0 [] function($c7).
% 1.96/2.16  0 [] one_to_one($c7).
% 1.96/2.16  0 [] relation($c8).
% 1.96/2.16  0 [] relation_empty_yielding($c8).
% 1.96/2.16  0 [] subset(A,A).
% 1.96/2.16  0 [] -in(A,B)|element(A,B).
% 1.96/2.16  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)).
% 1.96/2.16  0 [] -element(A,B)|empty(B)|in(A,B).
% 1.96/2.16  0 [] -element(A,powerset(B))|subset(A,B).
% 1.96/2.16  0 [] element(A,powerset(B))| -subset(A,B).
% 1.96/2.16  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|in(C,relation_rng(A)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|D=apply(B,C).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f5(A,B),relation_rng(A))|in($f4(A,B),relation_dom(A)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f5(A,B),relation_rng(A))|$f5(A,B)=apply(A,$f4(A,B)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f4(A,B)=apply(B,$f5(A,B))|in($f4(A,B),relation_dom(A)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f4(A,B)=apply(B,$f5(A,B))|$f5(A,B)=apply(A,$f4(A,B)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f4(A,B),relation_dom(A))|$f5(A,B)!=apply(A,$f4(A,B))| -in($f5(A,B),relation_rng(A))|$f4(A,B)!=apply(B,$f5(A,B)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 1.96/2.16  0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 1.96/2.16  0 [] relation($c9).
% 1.96/2.16  0 [] function($c9).
% 1.96/2.16  0 [] one_to_one($c9).
% 1.96/2.16  0 [] in($c10,relation_rng($c9)).
% 1.96/2.16  0 [] $c10!=apply($c9,apply(function_inverse($c9),$c10))|$c10!=apply(relation_composition(function_inverse($c9),$c9),$c10).
% 1.96/2.16  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.96/2.16  0 [] -empty(A)|A=empty_set.
% 1.96/2.16  0 [] -in(A,B)| -empty(B).
% 1.96/2.16  0 [] -empty(A)|A=B| -empty(B).
% 1.96/2.16  end_of_list.
% 1.96/2.16  
% 1.96/2.16  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 1.96/2.16  
% 1.96/2.16  This ia a non-Horn set with equality.  The strategy will be
% 1.96/2.16  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.96/2.16  deletion, with positive clauses in sos and nonpositive
% 1.96/2.16  clauses in usable.
% 1.96/2.16  
% 1.96/2.16     dependent: set(knuth_bendix).
% 1.96/2.16     dependent: set(anl_eq).
% 1.96/2.16     dependent: set(para_from).
% 1.96/2.16     dependent: set(para_into).
% 1.96/2.16     dependent: clear(para_from_right).
% 1.96/2.16     dependent: clear(para_into_right).
% 1.96/2.16     dependent: set(para_from_vars).
% 1.96/2.16     dependent: set(eq_units_both_ways).
% 1.96/2.16     dependent: set(dynamic_demod_all).
% 1.96/2.16     dependent: set(dynamic_demod).
% 1.96/2.16     dependent: set(order_eq).
% 1.96/2.16     dependent: set(back_demod).
% 1.96/2.16     dependent: set(lrpo).
% 1.96/2.16     dependent: set(hyper_res).
% 1.96/2.16     dependent: set(unit_deletion).
% 1.96/2.16     dependent: set(factor).
% 1.96/2.16  
% 1.96/2.16  ------------> process usable:
% 1.96/2.16  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.96/2.16  ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.96/2.16  ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.96/2.16  ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.96/2.16  ** KEPT (pick-wt=7): 5 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 1.96/2.16  ** KEPT (pick-wt=7): 6 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 1.96/2.16  ** KEPT (pick-wt=8): 7 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.96/2.16  ** KEPT (pick-wt=8): 8 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 1.96/2.16  ** KEPT (pick-wt=8): 9 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 1.96/2.16    Following clause subsumed by 7 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 1.96/2.16  ** KEPT (pick-wt=12): 10 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 1.96/2.16  ** KEPT (pick-wt=3): 11 [] -empty(powerset(A)).
% 1.96/2.16  ** KEPT (pick-wt=7): 12 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.96/2.16  ** KEPT (pick-wt=7): 13 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 1.96/2.16  ** KEPT (pick-wt=5): 14 [] -empty(A)|empty(relation_dom(A)).
% 1.96/2.16  ** KEPT (pick-wt=5): 15 [] -empty(A)|relation(relation_dom(A)).
% 1.96/2.16  ** KEPT (pick-wt=5): 16 [] -empty(A)|empty(relation_rng(A)).
% 1.96/2.16  ** KEPT (pick-wt=5): 17 [] -empty(A)|relation(relation_rng(A)).
% 1.96/2.16  ** KEPT (pick-wt=8): 18 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 1.96/2.16  ** KEPT (pick-wt=8): 19 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 1.96/2.16  ** KEPT (pick-wt=5): 20 [] empty(A)| -empty($f2(A)).
% 1.96/2.16  ** KEPT (pick-wt=2): 21 [] -empty($c5).
% 1.96/2.16  ** KEPT (pick-wt=2): 22 [] -empty($c6).
% 1.96/2.16  ** KEPT (pick-wt=6): 23 [] -in(A,B)|element(A,B).
% 1.96/2.16  ** KEPT (pick-wt=23): 24 [] -relation(A)| -function(A)| -relation(B)| -function(B)| -in(C,relation_dom(A))|apply(relation_composition(A,B),C)=apply(B,apply(A,C)).
% 1.96/2.16  ** KEPT (pick-wt=8): 25 [] -element(A,B)|empty(B)|in(A,B).
% 1.96/2.16  ** KEPT (pick-wt=7): 26 [] -element(A,powerset(B))|subset(A,B).
% 1.96/2.16  ** KEPT (pick-wt=7): 27 [] element(A,powerset(B))| -subset(A,B).
% 1.96/2.16  ** KEPT (pick-wt=10): 28 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.96/2.16  ** KEPT (pick-wt=19): 29 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 1.96/2.16  ** KEPT (pick-wt=27): 30 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 1.96/2.16  ** KEPT (pick-wt=28): 31 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 1.96/2.17  ** KEPT (pick-wt=27): 32 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|in(D,relation_rng(A)).
% 1.96/2.17  ** KEPT (pick-wt=28): 33 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_dom(A))|D!=apply(A,C)|C=apply(B,D).
% 1.96/2.17  ** KEPT (pick-wt=31): 34 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f5(A,B),relation_rng(A))|in($f4(A,B),relation_dom(A)).
% 1.96/2.17  ** KEPT (pick-wt=34): 36 [copy,35,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f5(A,B),relation_rng(A))|apply(A,$f4(A,B))=$f5(A,B).
% 1.96/2.17  ** KEPT (pick-wt=34): 38 [copy,37,flip.8] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f5(A,B))=$f4(A,B)|in($f4(A,B),relation_dom(A)).
% 59.71/59.88  ** KEPT (pick-wt=37): 40 [copy,39,flip.8,flip.9] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|apply(B,$f5(A,B))=$f4(A,B)|apply(A,$f4(A,B))=$f5(A,B).
% 59.71/59.88  ** KEPT (pick-wt=49): 42 [copy,41,flip.9,flip.11] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f4(A,B),relation_dom(A))|apply(A,$f4(A,B))!=$f5(A,B)| -in($f5(A,B),relation_rng(A))|apply(B,$f5(A,B))!=$f4(A,B).
% 59.71/59.88  ** KEPT (pick-wt=12): 43 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 59.71/59.88  ** KEPT (pick-wt=12): 45 [copy,44,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(function_inverse(A))=relation_dom(A).
% 59.71/59.88  ** KEPT (pick-wt=16): 47 [copy,46,flip.1,flip.2] apply($c9,apply(function_inverse($c9),$c10))!=$c10|apply(relation_composition(function_inverse($c9),$c9),$c10)!=$c10.
% 59.71/59.88  ** KEPT (pick-wt=9): 48 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 59.71/59.88  ** KEPT (pick-wt=5): 49 [] -empty(A)|A=empty_set.
% 59.71/59.88  ** KEPT (pick-wt=5): 50 [] -in(A,B)| -empty(B).
% 59.71/59.88  ** KEPT (pick-wt=7): 51 [] -empty(A)|A=B| -empty(B).
% 59.71/59.88  
% 59.71/59.88  ------------> process sos:
% 59.71/59.88  ** KEPT (pick-wt=3): 67 [] A=A.
% 59.71/59.88  ** KEPT (pick-wt=4): 68 [] element($f1(A),A).
% 59.71/59.88  ** KEPT (pick-wt=2): 69 [] empty(empty_set).
% 59.71/59.88  ** KEPT (pick-wt=2): 70 [] relation(empty_set).
% 59.71/59.88  ** KEPT (pick-wt=2): 71 [] relation_empty_yielding(empty_set).
% 59.71/59.88    Following clause subsumed by 69 during input processing: 0 [] empty(empty_set).
% 59.71/59.88    Following clause subsumed by 69 during input processing: 0 [] empty(empty_set).
% 59.71/59.88    Following clause subsumed by 70 during input processing: 0 [] relation(empty_set).
% 59.71/59.88  ** KEPT (pick-wt=2): 72 [] relation($c1).
% 59.71/59.88  ** KEPT (pick-wt=2): 73 [] function($c1).
% 59.71/59.88  ** KEPT (pick-wt=2): 74 [] empty($c2).
% 59.71/59.88  ** KEPT (pick-wt=2): 75 [] relation($c2).
% 59.71/59.88  ** KEPT (pick-wt=7): 76 [] empty(A)|element($f2(A),powerset(A)).
% 59.71/59.88  ** KEPT (pick-wt=2): 77 [] empty($c3).
% 59.71/59.88  ** KEPT (pick-wt=2): 78 [] relation($c4).
% 59.71/59.88  ** KEPT (pick-wt=2): 79 [] empty($c4).
% 59.71/59.88  ** KEPT (pick-wt=2): 80 [] function($c4).
% 59.71/59.88  ** KEPT (pick-wt=2): 81 [] relation($c5).
% 59.71/59.88  ** KEPT (pick-wt=5): 82 [] element($f3(A),powerset(A)).
% 59.71/59.88  ** KEPT (pick-wt=3): 83 [] empty($f3(A)).
% 59.71/59.88  ** KEPT (pick-wt=2): 84 [] relation($c7).
% 59.71/59.88  ** KEPT (pick-wt=2): 85 [] function($c7).
% 59.71/59.88  ** KEPT (pick-wt=2): 86 [] one_to_one($c7).
% 59.71/59.88  ** KEPT (pick-wt=2): 87 [] relation($c8).
% 59.71/59.88  ** KEPT (pick-wt=2): 88 [] relation_empty_yielding($c8).
% 59.71/59.88  ** KEPT (pick-wt=3): 89 [] subset(A,A).
% 59.71/59.88  ** KEPT (pick-wt=2): 90 [] relation($c9).
% 59.71/59.88  ** KEPT (pick-wt=2): 91 [] function($c9).
% 59.71/59.88  ** KEPT (pick-wt=2): 92 [] one_to_one($c9).
% 59.71/59.88  ** KEPT (pick-wt=4): 93 [] in($c10,relation_rng($c9)).
% 59.71/59.88    Following clause subsumed by 67 during input processing: 0 [copy,67,flip.1] A=A.
% 59.71/59.88  67 back subsumes 66.
% 59.71/59.88  
% 59.71/59.88  ======= end of input processing =======
% 59.71/59.88  
% 59.71/59.88  =========== start of search ===========
% 59.71/59.88  
% 59.71/59.88  
% 59.71/59.88  Resetting weight limit to 4.
% 59.71/59.88  
% 59.71/59.88  
% 59.71/59.88  Resetting weight limit to 4.
% 59.71/59.88  
% 59.71/59.88  sos_size=839
% 59.71/59.88  
% 59.71/59.88  Search stopped because sos empty.
% 59.71/59.88  
% 59.71/59.88  
% 59.71/59.88  Search stopped because sos empty.
% 59.71/59.88  
% 59.71/59.88  ============ end of search ============
% 59.71/59.88  
% 59.71/59.88  -------------- statistics -------------
% 59.71/59.88  clauses given                858
% 59.71/59.88  clauses generated         461176
% 59.71/59.88  clauses kept                1149
% 59.71/59.88  clauses forward subsumed    1505
% 59.71/59.88  clauses back subsumed         14
% 59.71/59.88  Kbytes malloced             6835
% 59.71/59.88  
% 59.71/59.88  ----------- times (seconds) -----------
% 59.71/59.88  user CPU time         57.71          (0 hr, 0 min, 57 sec)
% 59.71/59.88  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 59.71/59.88  wall-clock time       59             (0 hr, 0 min, 59 sec)
% 59.71/59.88  
% 59.71/59.88  Process 28109 finished Wed Jul 27 07:29:54 2022
% 59.71/59.88  Otter interrupted
% 59.71/59.88  PROOF NOT FOUND
%------------------------------------------------------------------------------