TSTP Solution File: SEU069+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU069+1 : TPTP v8.1.0. Released v3.2.0.
% 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 13:14:44 EDT 2022

% Result   : Unknown 135.39s 135.56s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU069+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % 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 07:53:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.79/2.00  ----- Otter 3.3f, August 2004 -----
% 1.79/2.00  The process was started by sandbox on n018.cluster.edu,
% 1.79/2.00  Wed Jul 27 07:53:16 2022
% 1.79/2.00  The command was "./otter".  The process ID is 27997.
% 1.79/2.00  
% 1.79/2.00  set(prolog_style_variables).
% 1.79/2.00  set(auto).
% 1.79/2.00     dependent: set(auto1).
% 1.79/2.00     dependent: set(process_input).
% 1.79/2.00     dependent: clear(print_kept).
% 1.79/2.00     dependent: clear(print_new_demod).
% 1.79/2.00     dependent: clear(print_back_demod).
% 1.79/2.00     dependent: clear(print_back_sub).
% 1.79/2.00     dependent: set(control_memory).
% 1.79/2.00     dependent: assign(max_mem, 12000).
% 1.79/2.00     dependent: assign(pick_given_ratio, 4).
% 1.79/2.00     dependent: assign(stats_level, 1).
% 1.79/2.00     dependent: assign(max_seconds, 10800).
% 1.79/2.00  clear(print_given).
% 1.79/2.00  
% 1.79/2.00  formula_list(usable).
% 1.79/2.00  all A (A=A).
% 1.79/2.00  all A B (in(A,B)-> -in(B,A)).
% 1.79/2.00  all A (empty(A)->function(A)).
% 1.79/2.00  all A (empty(A)->relation(A)).
% 1.79/2.00  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 1.79/2.00  all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 1.79/2.00  all A B (A=B<->subset(A,B)&subset(B,A)).
% 1.79/2.00  all A (relation(A)&function(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(E,relation_dom(A))&in(E,B)&D=apply(A,E)))))))).
% 1.79/2.00  all A (relation(A)&function(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<->in(D,relation_dom(A))&in(apply(A,D),B)))))).
% 1.79/2.00  all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 1.79/2.00  all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 1.79/2.00  all A exists B element(B,A).
% 1.79/2.00  empty(empty_set).
% 1.79/2.00  relation(empty_set).
% 1.79/2.00  relation_empty_yielding(empty_set).
% 1.79/2.00  all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 1.79/2.00  all A (-empty(powerset(A))).
% 1.79/2.00  empty(empty_set).
% 1.79/2.00  empty(empty_set).
% 1.79/2.00  relation(empty_set).
% 1.79/2.00  all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 1.79/2.00  all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 1.79/2.00  all A B (set_intersection2(A,A)=A).
% 1.79/2.00  exists A (relation(A)&function(A)).
% 1.79/2.00  exists A (empty(A)&relation(A)).
% 1.79/2.00  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.79/2.00  exists A empty(A).
% 1.79/2.00  exists A (relation(A)&empty(A)&function(A)).
% 1.79/2.00  exists A (-empty(A)&relation(A)).
% 1.79/2.00  all A exists B (element(B,powerset(A))&empty(B)).
% 1.79/2.00  exists A (-empty(A)).
% 1.79/2.00  exists A (relation(A)&function(A)&one_to_one(A)).
% 1.79/2.00  exists A (relation(A)&relation_empty_yielding(A)).
% 1.79/2.00  all A B subset(A,A).
% 1.79/2.00  all A B C (relation(C)&function(C)->subset(relation_image(C,set_intersection2(A,relation_inverse_image(C,B))),set_intersection2(relation_image(C,A),B))).
% 1.79/2.00  -(all A B C (relation(C)&function(C)->relation_image(C,set_intersection2(A,relation_inverse_image(C,B)))=set_intersection2(relation_image(C,A),B))).
% 1.79/2.00  all A B (in(A,B)->element(A,B)).
% 1.79/2.00  all A (set_intersection2(A,empty_set)=empty_set).
% 1.79/2.00  all A B (element(A,B)->empty(B)|in(A,B)).
% 1.79/2.00  all A B (element(A,powerset(B))<->subset(A,B)).
% 1.79/2.00  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.79/2.00  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.79/2.00  all A (empty(A)->A=empty_set).
% 1.79/2.00  all A B (-(in(A,B)&empty(B))).
% 1.79/2.00  all A B (-(empty(A)&A!=B&empty(B))).
% 1.79/2.00  end_of_list.
% 1.79/2.00  
% 1.79/2.00  -------> usable clausifies to:
% 1.79/2.00  
% 1.79/2.00  list(usable).
% 1.79/2.00  0 [] A=A.
% 1.79/2.00  0 [] -in(A,B)| -in(B,A).
% 1.79/2.00  0 [] -empty(A)|function(A).
% 1.79/2.00  0 [] -empty(A)|relation(A).
% 1.79/2.00  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.79/2.00  0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.79/2.00  0 [] A!=B|subset(A,B).
% 1.79/2.00  0 [] A!=B|subset(B,A).
% 1.79/2.00  0 [] A=B| -subset(A,B)| -subset(B,A).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),relation_dom(A)).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),B).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f1(A,B,C,D)).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)|in(D,C)| -in(E,relation_dom(A))| -in(E,B)|D!=apply(A,E).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),relation_dom(A)).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),B).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|$f3(A,B,C)=apply(A,$f2(A,B,C)).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f3(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f3(A,B,C)!=apply(A,X1).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),relation_dom(A)).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f4(A,B,C),C)|in(apply(A,$f4(A,B,C)),B).
% 1.79/2.00  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f4(A,B,C),C)| -in($f4(A,B,C),relation_dom(A))| -in(apply(A,$f4(A,B,C)),B).
% 1.79/2.00  0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.79/2.00  0 [] subset(A,B)|in($f5(A,B),A).
% 1.79/2.00  0 [] subset(A,B)| -in($f5(A,B),B).
% 1.79/2.00  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 1.79/2.00  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 1.79/2.00  0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 1.79/2.00  0 [] C=set_intersection2(A,B)|in($f6(A,B,C),C)|in($f6(A,B,C),A).
% 1.79/2.00  0 [] C=set_intersection2(A,B)|in($f6(A,B,C),C)|in($f6(A,B,C),B).
% 1.79/2.00  0 [] C=set_intersection2(A,B)| -in($f6(A,B,C),C)| -in($f6(A,B,C),A)| -in($f6(A,B,C),B).
% 1.79/2.00  0 [] element($f7(A),A).
% 1.79/2.00  0 [] empty(empty_set).
% 1.79/2.00  0 [] relation(empty_set).
% 1.79/2.00  0 [] relation_empty_yielding(empty_set).
% 1.79/2.00  0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 1.79/2.00  0 [] -empty(powerset(A)).
% 1.79/2.00  0 [] empty(empty_set).
% 1.79/2.00  0 [] empty(empty_set).
% 1.79/2.00  0 [] relation(empty_set).
% 1.79/2.00  0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.79/2.00  0 [] -empty(A)|empty(relation_dom(A)).
% 1.79/2.00  0 [] -empty(A)|relation(relation_dom(A)).
% 1.79/2.00  0 [] set_intersection2(A,A)=A.
% 1.79/2.00  0 [] relation($c1).
% 1.79/2.00  0 [] function($c1).
% 1.79/2.00  0 [] empty($c2).
% 1.79/2.00  0 [] relation($c2).
% 1.79/2.00  0 [] empty(A)|element($f8(A),powerset(A)).
% 1.79/2.00  0 [] empty(A)| -empty($f8(A)).
% 1.79/2.00  0 [] empty($c3).
% 1.79/2.00  0 [] relation($c4).
% 1.79/2.00  0 [] empty($c4).
% 1.79/2.00  0 [] function($c4).
% 1.79/2.00  0 [] -empty($c5).
% 1.79/2.00  0 [] relation($c5).
% 1.79/2.00  0 [] element($f9(A),powerset(A)).
% 1.79/2.00  0 [] empty($f9(A)).
% 1.79/2.00  0 [] -empty($c6).
% 1.79/2.00  0 [] relation($c7).
% 1.79/2.00  0 [] function($c7).
% 1.79/2.00  0 [] one_to_one($c7).
% 1.79/2.00  0 [] relation($c8).
% 1.79/2.00  0 [] relation_empty_yielding($c8).
% 1.79/2.00  0 [] subset(A,A).
% 1.79/2.00  0 [] -relation(C)| -function(C)|subset(relation_image(C,set_intersection2(A,relation_inverse_image(C,B))),set_intersection2(relation_image(C,A),B)).
% 1.79/2.00  0 [] relation($c9).
% 1.79/2.00  0 [] function($c9).
% 1.79/2.00  0 [] relation_image($c9,set_intersection2($c11,relation_inverse_image($c9,$c10)))!=set_intersection2(relation_image($c9,$c11),$c10).
% 1.79/2.00  0 [] -in(A,B)|element(A,B).
% 1.79/2.00  0 [] set_intersection2(A,empty_set)=empty_set.
% 1.79/2.00  0 [] -element(A,B)|empty(B)|in(A,B).
% 1.79/2.00  0 [] -element(A,powerset(B))|subset(A,B).
% 1.79/2.00  0 [] element(A,powerset(B))| -subset(A,B).
% 1.79/2.00  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.79/2.00  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.79/2.00  0 [] -empty(A)|A=empty_set.
% 1.79/2.00  0 [] -in(A,B)| -empty(B).
% 1.79/2.00  0 [] -empty(A)|A=B| -empty(B).
% 1.79/2.00  end_of_list.
% 1.79/2.00  
% 1.79/2.00  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.79/2.00  
% 1.79/2.00  This ia a non-Horn set with equality.  The strategy will be
% 1.79/2.00  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.79/2.00  deletion, with positive clauses in sos and nonpositive
% 1.79/2.00  clauses in usable.
% 1.79/2.00  
% 1.79/2.00     dependent: set(knuth_bendix).
% 1.79/2.00     dependent: set(anl_eq).
% 1.79/2.00     dependent: set(para_from).
% 1.79/2.00     dependent: set(para_into).
% 1.79/2.00     dependent: clear(para_from_right).
% 1.79/2.00     dependent: clear(para_into_right).
% 1.79/2.00     dependent: set(para_from_vars).
% 1.79/2.00     dependent: set(eq_units_both_ways).
% 1.79/2.00     dependent: set(dynamic_demod_all).
% 1.79/2.00     dependent: set(dynamic_demod).
% 1.79/2.00     dependent: set(order_eq).
% 1.79/2.00     dependent: set(back_demod).
% 1.79/2.00     dependent: set(lrpo).
% 1.79/2.00     dependent: set(hyper_res).
% 1.79/2.00     dependent: set(unit_deletion).
% 1.79/2.00     dependent: set(factor).
% 1.79/2.00  
% 1.79/2.00  ------------> process usable:
% 1.79/2.00  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 1.79/2.00  ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 1.79/2.00  ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 1.79/2.00  ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 1.79/2.00  ** KEPT (pick-wt=6): 5 [] A!=B|subset(A,B).
% 1.79/2.00  ** KEPT (pick-wt=6): 6 [] A!=B|subset(B,A).
% 1.79/2.00  ** KEPT (pick-wt=9): 7 [] A=B| -subset(A,B)| -subset(B,A).
% 1.79/2.00  ** KEPT (pick-wt=20): 8 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),relation_dom(A)).
% 1.79/2.00  ** KEPT (pick-wt=19): 9 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),C).
% 1.79/2.00  ** KEPT (pick-wt=21): 11 [copy,10,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f1(A,C,B,D))=D.
% 1.79/2.00  ** KEPT (pick-wt=24): 12 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 1.79/2.00  ** KEPT (pick-wt=22): 13 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),relation_dom(A)).
% 1.79/2.00  ** KEPT (pick-wt=21): 14 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),C).
% 1.79/2.00  ** KEPT (pick-wt=26): 16 [copy,15,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|apply(A,$f2(A,C,B))=$f3(A,C,B).
% 1.79/2.00  ** KEPT (pick-wt=30): 17 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f3(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f3(A,C,B)!=apply(A,D).
% 1.79/2.00  ** KEPT (pick-wt=16): 18 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 1.79/2.00  ** KEPT (pick-wt=17): 19 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 1.79/2.00  ** KEPT (pick-wt=21): 20 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 1.79/2.00  ** KEPT (pick-wt=22): 21 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f4(A,C,B),B)|in($f4(A,C,B),relation_dom(A)).
% 1.79/2.00  ** KEPT (pick-wt=23): 22 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f4(A,C,B),B)|in(apply(A,$f4(A,C,B)),C).
% 1.79/2.00  ** KEPT (pick-wt=30): 23 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f4(A,C,B),B)| -in($f4(A,C,B),relation_dom(A))| -in(apply(A,$f4(A,C,B)),C).
% 1.79/2.00  ** KEPT (pick-wt=9): 24 [] -subset(A,B)| -in(C,A)|in(C,B).
% 1.79/2.00  ** KEPT (pick-wt=8): 25 [] subset(A,B)| -in($f5(A,B),B).
% 1.79/2.00  ** KEPT (pick-wt=11): 26 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 1.79/2.00  ** KEPT (pick-wt=11): 27 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 1.79/2.00  ** KEPT (pick-wt=14): 28 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 1.79/2.00  ** KEPT (pick-wt=23): 29 [] A=set_intersection2(B,C)| -in($f6(B,C,A),A)| -in($f6(B,C,A),B)| -in($f6(B,C,A),C).
% 1.79/2.00  ** KEPT (pick-wt=8): 30 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 1.79/2.00  ** KEPT (pick-wt=3): 31 [] -empty(powerset(A)).
% 1.79/2.00  ** KEPT (pick-wt=7): 32 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 1.79/2.00  ** KEPT (pick-wt=5): 33 [] -empty(A)|empty(relation_dom(A)).
% 1.79/2.00  ** KEPT (pick-wt=5): 34 [] -empty(A)|relation(relation_dom(A)).
% 1.79/2.00  ** KEPT (pick-wt=5): 35 [] empty(A)| -empty($f8(A)).
% 1.79/2.00  ** KEPT (pick-wt=2): 36 [] -empty($c5).
% 1.79/2.00  ** KEPT (pick-wt=2): 37 [] -empty($c6).
% 1.79/2.00  ** KEPT (pick-wt=17): 38 [] -relation(A)| -function(A)|subset(relation_image(A,set_intersection2(B,relation_inverse_image(A,C))),set_intersection2(relation_image(A,B),C)).
% 1.79/2.00  ** KEPT (pick-wt=13): 40 [copy,39,flip.1] set_intersection2(relation_image($c9,$c11),$c10)!=relation_image($c9,set_intersection2($c11,relation_inverse_image($c9,$c10))).
% 1.79/2.00  ** KEPT (pick-wt=6): 41 [] -in(A,B)|element(A,B).
% 1.79/2.00  ** KEPT (pick-wt=8): 42 [] -element(A,B)|empty(B)|in(A,B).
% 1.79/2.00  ** KEPT (pick-wt=7): 43 [] -element(A,powerset(B))|subset(A,B).
% 1.79/2.00  ** KEPT (pick-wt=7): 44 [] element(A,powerset(B))| -subset(A,B).
% 1.79/2.00  ** KEPT (pick-wt=10): 45 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.79/2.00  ** KEPT (pick-wt=9): 46 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.79/2.00  ** KEPT (pick-wt=5): 47 [] -empty(A)|A=empty_set.
% 1.79/2.00  ** KEPT (pick-wt=5): 48 [] -in(A,B)| -empty(B).
% 1.79/2.00  ** KEPT (pick-wt=7): 49 [] -empty(A)|A=B| -empty(B).
% 1.79/2.00  
% 1.79/2.00  ------------> process sos:
% 1.79/2.00  ** KEPT (pick-wt=3): 66 [] A=A.
% 1.79/2.00  ** KEPT (pick-wt=7): 67 [] set_intersection2(A,B)=set_intersection2(B,A).
% 1.79/2.00  ** KEPT (pick-wt=8): 68 [] subset(A,B)|in($f5(A,B),A).
% 1.79/2.00  ** KEPT (pick-wt=17): 69 [] A=set_intersection2(B,C)|in($f6(B,C,A),A)|in($f6(B,C,A),B).
% 1.79/2.00  ** KEPT (pick-wt=17): 70 [] A=set_intersection2(B,C)|in($f6(B,C,A),A)|in($f6(B,C,A),C).
% 1.79/2.00  ** KEPT (pick-wt=4): 71 [] element($f7(A),A).
% 1.79/2.00  ** KEPT (pick-wt=2): 72 [] empty(empty_set).
% 1.79/2.00  ** KEPT (pick-wt=2): 73 [] relation(empty_set).
% 1.79/2.00  ** KEPT (pick-wt=2): 74 [] relation_empty_yielding(empty_set).
% 1.79/2.00    Following clause subsumed by 72 during input processing: 0 [] empty(empty_set).
% 1.79/2.00    Following clause subsumed by 72 during input processing: 0 [] empty(empty_set).
% 135.31/135.56    Following clause subsumed by 73 during input processing: 0 [] relation(empty_set).
% 135.31/135.56  ** KEPT (pick-wt=5): 75 [] set_intersection2(A,A)=A.
% 135.31/135.56  ---> New Demodulator: 76 [new_demod,75] set_intersection2(A,A)=A.
% 135.31/135.56  ** KEPT (pick-wt=2): 77 [] relation($c1).
% 135.31/135.56  ** KEPT (pick-wt=2): 78 [] function($c1).
% 135.31/135.56  ** KEPT (pick-wt=2): 79 [] empty($c2).
% 135.31/135.56  ** KEPT (pick-wt=2): 80 [] relation($c2).
% 135.31/135.56  ** KEPT (pick-wt=7): 81 [] empty(A)|element($f8(A),powerset(A)).
% 135.31/135.56  ** KEPT (pick-wt=2): 82 [] empty($c3).
% 135.31/135.56  ** KEPT (pick-wt=2): 83 [] relation($c4).
% 135.31/135.56  ** KEPT (pick-wt=2): 84 [] empty($c4).
% 135.31/135.56  ** KEPT (pick-wt=2): 85 [] function($c4).
% 135.31/135.56  ** KEPT (pick-wt=2): 86 [] relation($c5).
% 135.31/135.56  ** KEPT (pick-wt=5): 87 [] element($f9(A),powerset(A)).
% 135.31/135.56  ** KEPT (pick-wt=3): 88 [] empty($f9(A)).
% 135.31/135.56  ** KEPT (pick-wt=2): 89 [] relation($c7).
% 135.31/135.56  ** KEPT (pick-wt=2): 90 [] function($c7).
% 135.31/135.56  ** KEPT (pick-wt=2): 91 [] one_to_one($c7).
% 135.31/135.56  ** KEPT (pick-wt=2): 92 [] relation($c8).
% 135.31/135.56  ** KEPT (pick-wt=2): 93 [] relation_empty_yielding($c8).
% 135.31/135.56  ** KEPT (pick-wt=3): 94 [] subset(A,A).
% 135.31/135.56  ** KEPT (pick-wt=2): 95 [] relation($c9).
% 135.31/135.56  ** KEPT (pick-wt=2): 96 [] function($c9).
% 135.31/135.56  ** KEPT (pick-wt=5): 97 [] set_intersection2(A,empty_set)=empty_set.
% 135.31/135.56  ---> New Demodulator: 98 [new_demod,97] set_intersection2(A,empty_set)=empty_set.
% 135.31/135.56    Following clause subsumed by 66 during input processing: 0 [copy,66,flip.1] A=A.
% 135.31/135.56  66 back subsumes 63.
% 135.31/135.56  66 back subsumes 51.
% 135.31/135.56    Following clause subsumed by 67 during input processing: 0 [copy,67,flip.1] set_intersection2(A,B)=set_intersection2(B,A).
% 135.31/135.56  >>>> Starting back demodulation with 76.
% 135.31/135.56      >> back demodulating 65 with 76.
% 135.31/135.56      >> back demodulating 62 with 76.
% 135.31/135.56      >> back demodulating 61 with 76.
% 135.31/135.56      >> back demodulating 58 with 76.
% 135.31/135.56  >>>> Starting back demodulation with 98.
% 135.31/135.56  
% 135.31/135.56  ======= end of input processing =======
% 135.31/135.56  
% 135.31/135.56  =========== start of search ===========
% 135.31/135.56  
% 135.31/135.56  
% 135.31/135.56  Resetting weight limit to 5.
% 135.31/135.56  
% 135.31/135.56  
% 135.31/135.56  Resetting weight limit to 5.
% 135.31/135.56  
% 135.31/135.56  sos_size=521
% 135.31/135.56  
% 135.31/135.56  
% 135.31/135.56  Resetting weight limit to 4.
% 135.31/135.56  
% 135.31/135.56  
% 135.31/135.56  Resetting weight limit to 4.
% 135.31/135.56  
% 135.31/135.56  sos_size=525
% 135.31/135.56  
% 135.31/135.56  Search stopped because sos empty.
% 135.31/135.56  
% 135.31/135.56  
% 135.31/135.56  Search stopped because sos empty.
% 135.31/135.56  
% 135.31/135.56  ============ end of search ============
% 135.31/135.56  
% 135.31/135.56  -------------- statistics -------------
% 135.31/135.56  clauses given                572
% 135.31/135.56  clauses generated        2519390
% 135.31/135.56  clauses kept                 710
% 135.31/135.56  clauses forward subsumed     884
% 135.31/135.56  clauses back subsumed          3
% 135.31/135.56  Kbytes malloced             7812
% 135.31/135.56  
% 135.31/135.56  ----------- times (seconds) -----------
% 135.31/135.56  user CPU time        133.55          (0 hr, 2 min, 13 sec)
% 135.31/135.56  system CPU time        0.01          (0 hr, 0 min, 0 sec)
% 135.31/135.56  wall-clock time      135             (0 hr, 2 min, 15 sec)
% 135.31/135.56  
% 135.31/135.56  Process 27997 finished Wed Jul 27 07:55:31 2022
% 135.31/135.56  Otter interrupted
% 135.31/135.56  PROOF NOT FOUND
%------------------------------------------------------------------------------