TSTP Solution File: SEU228+1 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU228+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n011.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 13:15:15 EDT 2022

% Result   : Unknown 189.52s 189.71s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU228+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n011.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 07:55:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 2.14/2.35  ----- Otter 3.3f, August 2004 -----
% 2.14/2.35  The process was started by sandbox2 on n011.cluster.edu,
% 2.14/2.35  Wed Jul 27 07:55:55 2022
% 2.14/2.35  The command was "./otter".  The process ID is 10482.
% 2.14/2.35  
% 2.14/2.35  set(prolog_style_variables).
% 2.14/2.35  set(auto).
% 2.14/2.35     dependent: set(auto1).
% 2.14/2.35     dependent: set(process_input).
% 2.14/2.35     dependent: clear(print_kept).
% 2.14/2.35     dependent: clear(print_new_demod).
% 2.14/2.35     dependent: clear(print_back_demod).
% 2.14/2.35     dependent: clear(print_back_sub).
% 2.14/2.35     dependent: set(control_memory).
% 2.14/2.35     dependent: assign(max_mem, 12000).
% 2.14/2.35     dependent: assign(pick_given_ratio, 4).
% 2.14/2.35     dependent: assign(stats_level, 1).
% 2.14/2.35     dependent: assign(max_seconds, 10800).
% 2.14/2.35  clear(print_given).
% 2.14/2.35  
% 2.14/2.35  formula_list(usable).
% 2.14/2.35  all A (A=A).
% 2.14/2.35  all A B (in(A,B)-> -in(B,A)).
% 2.14/2.35  all A (empty(A)->function(A)).
% 2.14/2.35  all A (empty(A)->relation(A)).
% 2.14/2.35  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.14/2.35  all A B (A=B<->subset(A,B)&subset(B,A)).
% 2.14/2.35  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)))))))).
% 2.14/2.35  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)))))).
% 2.14/2.35  all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 2.14/2.35  all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 2.14/2.35  $T.
% 2.14/2.35  $T.
% 2.14/2.35  $T.
% 2.14/2.35  $T.
% 2.14/2.35  $T.
% 2.14/2.35  $T.
% 2.14/2.35  $T.
% 2.14/2.35  $T.
% 2.14/2.35  all A exists B element(B,A).
% 2.14/2.35  empty(empty_set).
% 2.14/2.35  relation(empty_set).
% 2.14/2.35  relation_empty_yielding(empty_set).
% 2.14/2.35  all A (-empty(powerset(A))).
% 2.14/2.35  empty(empty_set).
% 2.14/2.35  empty(empty_set).
% 2.14/2.35  relation(empty_set).
% 2.14/2.35  all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 2.14/2.35  all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.14/2.35  all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 2.14/2.35  all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.14/2.35  exists A (relation(A)&function(A)).
% 2.14/2.35  exists A (empty(A)&relation(A)).
% 2.14/2.35  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.14/2.35  exists A empty(A).
% 2.14/2.35  exists A (relation(A)&empty(A)&function(A)).
% 2.14/2.35  exists A (-empty(A)&relation(A)).
% 2.14/2.35  all A exists B (element(B,powerset(A))&empty(B)).
% 2.14/2.35  exists A (-empty(A)).
% 2.14/2.35  exists A (relation(A)&function(A)&one_to_one(A)).
% 2.14/2.35  exists A (relation(A)&relation_empty_yielding(A)).
% 2.14/2.35  all A B subset(A,A).
% 2.14/2.35  all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 2.14/2.35  -(all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A))).
% 2.14/2.35  all A B (in(A,B)->element(A,B)).
% 2.14/2.35  all A B (element(A,B)->empty(B)|in(A,B)).
% 2.14/2.35  all A B (element(A,powerset(B))<->subset(A,B)).
% 2.14/2.35  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.14/2.35  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.14/2.35  all A (empty(A)->A=empty_set).
% 2.14/2.35  all A B (-(in(A,B)&empty(B))).
% 2.14/2.35  all A B (-(empty(A)&A!=B&empty(B))).
% 2.14/2.35  end_of_list.
% 2.14/2.35  
% 2.14/2.35  -------> usable clausifies to:
% 2.14/2.35  
% 2.14/2.35  list(usable).
% 2.14/2.35  0 [] A=A.
% 2.14/2.35  0 [] -in(A,B)| -in(B,A).
% 2.14/2.35  0 [] -empty(A)|function(A).
% 2.14/2.35  0 [] -empty(A)|relation(A).
% 2.14/2.35  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.14/2.35  0 [] A!=B|subset(A,B).
% 2.14/2.35  0 [] A!=B|subset(B,A).
% 2.14/2.35  0 [] A=B| -subset(A,B)| -subset(B,A).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),relation_dom(A)).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f1(A,B,C,D),B).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f1(A,B,C,D)).
% 2.14/2.35  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).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),relation_dom(A)).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|in($f2(A,B,C),B).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f3(A,B,C),C)|$f3(A,B,C)=apply(A,$f2(A,B,C)).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f3(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f3(A,B,C)!=apply(A,X1).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 2.14/2.35  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 2.14/2.36  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 2.14/2.36  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f4(A,B,C),C)|in($f4(A,B,C),relation_dom(A)).
% 2.14/2.36  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f4(A,B,C),C)|in(apply(A,$f4(A,B,C)),B).
% 2.14/2.36  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f4(A,B,C),C)| -in($f4(A,B,C),relation_dom(A))| -in(apply(A,$f4(A,B,C)),B).
% 2.14/2.36  0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.14/2.36  0 [] subset(A,B)|in($f5(A,B),A).
% 2.14/2.36  0 [] subset(A,B)| -in($f5(A,B),B).
% 2.14/2.36  0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f6(A,B,C),relation_dom(A)).
% 2.14/2.36  0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f6(A,B,C)).
% 2.14/2.36  0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.14/2.36  0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f8(A,B),B)|in($f7(A,B),relation_dom(A)).
% 2.14/2.36  0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f8(A,B),B)|$f8(A,B)=apply(A,$f7(A,B)).
% 2.14/2.36  0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f8(A,B),B)| -in(X2,relation_dom(A))|$f8(A,B)!=apply(A,X2).
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] $T.
% 2.14/2.36  0 [] element($f9(A),A).
% 2.14/2.36  0 [] empty(empty_set).
% 2.14/2.36  0 [] relation(empty_set).
% 2.14/2.36  0 [] relation_empty_yielding(empty_set).
% 2.14/2.36  0 [] -empty(powerset(A)).
% 2.14/2.36  0 [] empty(empty_set).
% 2.14/2.36  0 [] empty(empty_set).
% 2.14/2.36  0 [] relation(empty_set).
% 2.14/2.36  0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.14/2.36  0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.14/2.36  0 [] -empty(A)|empty(relation_dom(A)).
% 2.14/2.36  0 [] -empty(A)|relation(relation_dom(A)).
% 2.14/2.36  0 [] -empty(A)|empty(relation_rng(A)).
% 2.14/2.36  0 [] -empty(A)|relation(relation_rng(A)).
% 2.14/2.36  0 [] relation($c1).
% 2.14/2.36  0 [] function($c1).
% 2.14/2.36  0 [] empty($c2).
% 2.14/2.36  0 [] relation($c2).
% 2.14/2.36  0 [] empty(A)|element($f10(A),powerset(A)).
% 2.14/2.36  0 [] empty(A)| -empty($f10(A)).
% 2.14/2.36  0 [] empty($c3).
% 2.14/2.36  0 [] relation($c4).
% 2.14/2.36  0 [] empty($c4).
% 2.14/2.36  0 [] function($c4).
% 2.14/2.36  0 [] -empty($c5).
% 2.14/2.36  0 [] relation($c5).
% 2.14/2.36  0 [] element($f11(A),powerset(A)).
% 2.14/2.36  0 [] empty($f11(A)).
% 2.14/2.36  0 [] -empty($c6).
% 2.14/2.36  0 [] relation($c7).
% 2.14/2.36  0 [] function($c7).
% 2.14/2.36  0 [] one_to_one($c7).
% 2.14/2.36  0 [] relation($c8).
% 2.14/2.36  0 [] relation_empty_yielding($c8).
% 2.14/2.36  0 [] subset(A,A).
% 2.14/2.36  0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 2.14/2.36  0 [] relation($c9).
% 2.14/2.36  0 [] function($c9).
% 2.14/2.36  0 [] subset($c10,relation_rng($c9)).
% 2.14/2.36  0 [] relation_image($c9,relation_inverse_image($c9,$c10))!=$c10.
% 2.14/2.36  0 [] -in(A,B)|element(A,B).
% 2.14/2.36  0 [] -element(A,B)|empty(B)|in(A,B).
% 2.14/2.36  0 [] -element(A,powerset(B))|subset(A,B).
% 2.14/2.36  0 [] element(A,powerset(B))| -subset(A,B).
% 2.14/2.36  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.14/2.36  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.14/2.36  0 [] -empty(A)|A=empty_set.
% 2.14/2.36  0 [] -in(A,B)| -empty(B).
% 2.14/2.36  0 [] -empty(A)|A=B| -empty(B).
% 2.14/2.36  end_of_list.
% 2.14/2.36  
% 2.14/2.36  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.14/2.36  
% 2.14/2.36  This ia a non-Horn set with equality.  The strategy will be
% 2.14/2.36  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.14/2.36  deletion, with positive clauses in sos and nonpositive
% 2.14/2.36  clauses in usable.
% 2.14/2.36  
% 2.14/2.36     dependent: set(knuth_bendix).
% 2.14/2.36     dependent: set(anl_eq).
% 2.14/2.36     dependent: set(para_from).
% 2.14/2.36     dependent: set(para_into).
% 2.14/2.36     dependent: clear(para_from_right).
% 2.14/2.36     dependent: clear(para_into_right).
% 2.14/2.36     dependent: set(para_from_vars).
% 2.14/2.36     dependent: set(eq_units_both_ways).
% 2.14/2.36     dependent: set(dynamic_demod_all).
% 2.14/2.36     dependent: set(dynamic_demod).
% 2.14/2.36     dependent: set(order_eq).
% 2.14/2.36     dependent: set(back_demod).
% 2.14/2.36     dependent: set(lrpo).
% 2.14/2.36     dependent: set(hyper_res).
% 2.14/2.36     dependent: set(unit_deletion).
% 2.14/2.36     dependent: set(factor).
% 2.14/2.36  
% 2.14/2.36  ------------> process usable:
% 2.14/2.36  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 2.14/2.36  ** KEPT (pick-wt=4): 2 [] -empty(A)|function(A).
% 2.14/2.36  ** KEPT (pick-wt=4): 3 [] -empty(A)|relation(A).
% 2.14/2.36  ** KEPT (pick-wt=8): 4 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.14/2.36  ** KEPT (pick-wt=6): 5 [] A!=B|subset(A,B).
% 2.14/2.36  ** KEPT (pick-wt=6): 6 [] A!=B|subset(B,A).
% 2.14/2.36  ** KEPT (pick-wt=9): 7 [] A=B| -subset(A,B)| -subset(B,A).
% 2.14/2.36  ** KEPT (pick-wt=20): 8 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=19): 9 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f1(A,C,B,D),C).
% 2.14/2.36  ** KEPT (pick-wt=21): 11 [copy,10,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f1(A,C,B,D))=D.
% 2.14/2.36  ** KEPT (pick-wt=24): 12 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 2.14/2.36  ** KEPT (pick-wt=22): 13 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=21): 14 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|in($f2(A,C,B),C).
% 2.14/2.36  ** KEPT (pick-wt=26): 16 [copy,15,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f3(A,C,B),B)|apply(A,$f2(A,C,B))=$f3(A,C,B).
% 2.14/2.36  ** 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).
% 2.14/2.36  ** KEPT (pick-wt=16): 18 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=17): 19 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 2.14/2.36  ** 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).
% 2.14/2.36  ** 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)).
% 2.14/2.36  ** 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).
% 2.14/2.36  ** 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,$f4(A,C,B)),C).
% 2.14/2.36  ** KEPT (pick-wt=9): 24 [] -subset(A,B)| -in(C,A)|in(C,B).
% 2.14/2.36  ** KEPT (pick-wt=8): 25 [] subset(A,B)| -in($f5(A,B),B).
% 2.14/2.36  ** KEPT (pick-wt=18): 26 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f6(A,B,C),relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=19): 28 [copy,27,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f6(A,B,C))=C.
% 2.14/2.36  ** KEPT (pick-wt=20): 29 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 2.14/2.36  ** KEPT (pick-wt=19): 30 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f8(A,B),B)|in($f7(A,B),relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=22): 32 [copy,31,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f8(A,B),B)|apply(A,$f7(A,B))=$f8(A,B).
% 2.14/2.36  ** KEPT (pick-wt=24): 33 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f8(A,B),B)| -in(C,relation_dom(A))|$f8(A,B)!=apply(A,C).
% 2.14/2.36  ** KEPT (pick-wt=3): 34 [] -empty(powerset(A)).
% 2.14/2.36  ** KEPT (pick-wt=7): 35 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=7): 36 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.14/2.36  ** KEPT (pick-wt=5): 37 [] -empty(A)|empty(relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=5): 38 [] -empty(A)|relation(relation_dom(A)).
% 2.14/2.36  ** KEPT (pick-wt=5): 39 [] -empty(A)|empty(relation_rng(A)).
% 2.14/2.36  ** KEPT (pick-wt=5): 40 [] -empty(A)|relation(relation_rng(A)).
% 2.14/2.36  ** KEPT (pick-wt=5): 41 [] empty(A)| -empty($f10(A)).
% 2.14/2.36  ** KEPT (pick-wt=2): 42 [] -empty($c5).
% 2.14/2.36  ** KEPT (pick-wt=2): 43 [] -empty($c6).
% 2.14/2.36  ** KEPT (pick-wt=11): 44 [] -relation(A)| -function(A)|subset(relation_image(A,relation_inverse_image(A,B)),B).
% 2.14/2.36  ** KEPT (pick-wt=7): 45 [] relation_image($c9,relation_inverse_image($c9,$c10))!=$c10.
% 2.14/2.36  ** KEPT (pick-wt=6): 46 [] -in(A,B)|element(A,B).
% 2.14/2.36  ** KEPT (pick-wt=8): 47 [] -element(A,B)|empty(B)|in(A,B).
% 2.14/2.36  ** KEPT (pick-wt=7): 48 [] -element(A,powerset(B))|subset(A,B).
% 2.14/2.36  ** KEPT (pick-wt=7): 49 [] element(A,powerset(B))| -subset(A,B).
% 2.14/2.36  ** KEPT (pick-wt=10): 50 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.14/2.36  ** KEPT (pick-wt=9): 51 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.14/2.36  ** KEPT (pick-wt=5): 52 [] -empty(A)|A=empty_set.
% 2.14/2.36  ** KEPT (pick-wt=5): 53 [] -in(A,B)| -empty(B).
% 2.14/2.36  ** KEPT (pick-wt=7): 54 [] -empty(A)|A=B| -empty(B).
% 2.14/2.36  
% 2.14/2.36  ------------> process sos:
% 2.14/2.36  ** KEPT (pick-wt=3): 66 [] A=A.
% 2.14/2.36  ** KEPT (pick-wt=8): 67 [] subset(A,B)|in($f5(A,B),A).
% 2.14/2.36  ** KEPT (pick-wt=4): 68 [] element($f9(A),A).
% 2.14/2.36  ** KEPT (pick-wt=2): 69 [] empty(empty_set).
% 2.14/2.36  ** KEPT (pick-wt=2): 70 [] relation(empty_set).
% 189.52/189.71  ** KEPT (pick-wt=2): 71 [] relation_empty_yielding(empty_set).
% 189.52/189.71    Following clause subsumed by 69 during input processing: 0 [] empty(empty_set).
% 189.52/189.71    Following clause subsumed by 69 during input processing: 0 [] empty(empty_set).
% 189.52/189.71    Following clause subsumed by 70 during input processing: 0 [] relation(empty_set).
% 189.52/189.71  ** KEPT (pick-wt=2): 72 [] relation($c1).
% 189.52/189.71  ** KEPT (pick-wt=2): 73 [] function($c1).
% 189.52/189.71  ** KEPT (pick-wt=2): 74 [] empty($c2).
% 189.52/189.71  ** KEPT (pick-wt=2): 75 [] relation($c2).
% 189.52/189.71  ** KEPT (pick-wt=7): 76 [] empty(A)|element($f10(A),powerset(A)).
% 189.52/189.71  ** KEPT (pick-wt=2): 77 [] empty($c3).
% 189.52/189.71  ** KEPT (pick-wt=2): 78 [] relation($c4).
% 189.52/189.71  ** KEPT (pick-wt=2): 79 [] empty($c4).
% 189.52/189.71  ** KEPT (pick-wt=2): 80 [] function($c4).
% 189.52/189.71  ** KEPT (pick-wt=2): 81 [] relation($c5).
% 189.52/189.71  ** KEPT (pick-wt=5): 82 [] element($f11(A),powerset(A)).
% 189.52/189.71  ** KEPT (pick-wt=3): 83 [] empty($f11(A)).
% 189.52/189.71  ** KEPT (pick-wt=2): 84 [] relation($c7).
% 189.52/189.71  ** KEPT (pick-wt=2): 85 [] function($c7).
% 189.52/189.71  ** KEPT (pick-wt=2): 86 [] one_to_one($c7).
% 189.52/189.71  ** KEPT (pick-wt=2): 87 [] relation($c8).
% 189.52/189.71  ** KEPT (pick-wt=2): 88 [] relation_empty_yielding($c8).
% 189.52/189.71  ** KEPT (pick-wt=3): 89 [] subset(A,A).
% 189.52/189.71  ** KEPT (pick-wt=2): 90 [] relation($c9).
% 189.52/189.71  ** KEPT (pick-wt=2): 91 [] function($c9).
% 189.52/189.71  ** KEPT (pick-wt=4): 92 [] subset($c10,relation_rng($c9)).
% 189.52/189.71    Following clause subsumed by 66 during input processing: 0 [copy,66,flip.1] A=A.
% 189.52/189.71  66 back subsumes 64.
% 189.52/189.71  66 back subsumes 56.
% 189.52/189.71  
% 189.52/189.71  ======= end of input processing =======
% 189.52/189.71  
% 189.52/189.71  =========== start of search ===========
% 189.52/189.71  
% 189.52/189.71  
% 189.52/189.71  Resetting weight limit to 8.
% 189.52/189.71  
% 189.52/189.71  
% 189.52/189.71  Resetting weight limit to 8.
% 189.52/189.71  
% 189.52/189.71  sos_size=863
% 189.52/189.71  
% 189.52/189.71  
% 189.52/189.71  Resetting weight limit to 7.
% 189.52/189.71  
% 189.52/189.71  
% 189.52/189.71  Resetting weight limit to 7.
% 189.52/189.71  
% 189.52/189.71  sos_size=918
% 189.52/189.71  
% 189.52/189.71  Search stopped because sos empty.
% 189.52/189.71  
% 189.52/189.71  
% 189.52/189.71  Search stopped because sos empty.
% 189.52/189.71  
% 189.52/189.71  ============ end of search ============
% 189.52/189.71  
% 189.52/189.71  -------------- statistics -------------
% 189.52/189.71  clauses given               1210
% 189.52/189.71  clauses generated        1466976
% 189.52/189.71  clauses kept                1462
% 189.52/189.71  clauses forward subsumed    4943
% 189.52/189.71  clauses back subsumed         64
% 189.52/189.71  Kbytes malloced             9765
% 189.52/189.71  
% 189.52/189.71  ----------- times (seconds) -----------
% 189.52/189.71  user CPU time        187.34          (0 hr, 3 min, 7 sec)
% 189.52/189.71  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 189.52/189.71  wall-clock time      190             (0 hr, 3 min, 10 sec)
% 189.52/189.71  
% 189.52/189.71  Process 10482 finished Wed Jul 27 07:59:05 2022
% 189.52/189.71  Otter interrupted
% 189.52/189.71  PROOF NOT FOUND
%------------------------------------------------------------------------------