TSTP Solution File: SET671+3 by Otter---3.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n009.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 13:14:02 EDT 2022

% Result   : Timeout 299.88s 300.02s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET671+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : otter-tptp-script %s
% 0.13/0.33  % Computer : n009.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 10:26:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 1.90/2.07  ----- Otter 3.3f, August 2004 -----
% 1.90/2.07  The process was started by sandbox2 on n009.cluster.edu,
% 1.90/2.07  Wed Jul 27 10:26:06 2022
% 1.90/2.07  The command was "./otter".  The process ID is 14581.
% 1.90/2.07  
% 1.90/2.07  set(prolog_style_variables).
% 1.90/2.07  set(auto).
% 1.90/2.07     dependent: set(auto1).
% 1.90/2.07     dependent: set(process_input).
% 1.90/2.07     dependent: clear(print_kept).
% 1.90/2.07     dependent: clear(print_new_demod).
% 1.90/2.07     dependent: clear(print_back_demod).
% 1.90/2.07     dependent: clear(print_back_sub).
% 1.90/2.07     dependent: set(control_memory).
% 1.90/2.07     dependent: assign(max_mem, 12000).
% 1.90/2.07     dependent: assign(pick_given_ratio, 4).
% 1.90/2.07     dependent: assign(stats_level, 1).
% 1.90/2.07     dependent: assign(max_seconds, 10800).
% 1.90/2.07  clear(print_given).
% 1.90/2.07  
% 1.90/2.07  formula_list(usable).
% 1.90/2.07  all A (A=A).
% 1.90/2.07  all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,binary_relation_type)-> (B=C<-> (all D (ilf_type(D,set_type)-> (all E (ilf_type(E,set_type)-> (member(ordered_pair(D,E),B)<->member(ordered_pair(D,E),C)))))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,set_type)-> (all E (ilf_type(E,binary_relation_type)-> (member(ordered_pair(C,D),restrict(E,B))<->member(C,B)&member(ordered_pair(C,D),E))))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,set_type)-> (all E (ilf_type(E,set_type)-> (all F (ilf_type(F,relation_type(B,C))-> (member(ordered_pair(D,E),F)->member(D,B)&member(E,C))))))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,subset_type(cross_product(B,C)))->ilf_type(D,relation_type(B,C))))& (all E (ilf_type(E,relation_type(B,C))->ilf_type(E,subset_type(cross_product(B,C)))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (exists D ilf_type(D,relation_type(C,B)))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (subset(B,C)<-> (all D (ilf_type(D,set_type)-> (member(D,B)->member(D,C)))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(cross_product(B,C),set_type)))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(ordered_pair(B,C),set_type)))).
% 1.90/2.07  all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,set_type)->ilf_type(restrict(B,C),binary_relation_type)))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (ilf_type(B,binary_relation_type)<->relation_like(B)&ilf_type(B,set_type))).
% 1.90/2.07  exists B ilf_type(B,binary_relation_type).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (ilf_type(C,subset_type(B))<->ilf_type(C,member_type(power_set(B))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (exists C ilf_type(C,subset_type(B)))).
% 1.90/2.07  all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,binary_relation_type)-> (B=C->C=B)))).
% 1.90/2.07  all B (ilf_type(B,binary_relation_type)->B=B).
% 1.90/2.07  all B (ilf_type(B,set_type)->subset(B,B)).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (member(B,power_set(C))<-> (all D (ilf_type(D,set_type)-> (member(D,B)->member(D,C)))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> -empty(power_set(B))&ilf_type(power_set(B),set_type)).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (-empty(C)&ilf_type(C,set_type)-> (ilf_type(B,member_type(C))<->member(B,C))))).
% 1.90/2.07  all B (-empty(B)&ilf_type(B,set_type)-> (exists C ilf_type(C,member_type(B)))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (relation_like(B)<-> (all C (ilf_type(C,set_type)-> (member(C,B)-> (exists D (ilf_type(D,set_type)& (exists E (ilf_type(E,set_type)&C=ordered_pair(D,E)))))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,subset_type(cross_product(B,C)))->relation_like(D)))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (empty(B)<-> (all C (ilf_type(C,set_type)-> -member(C,B))))).
% 1.90/2.07  all B (empty(B)&ilf_type(B,set_type)->relation_like(B)).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))-> (all E (ilf_type(E,set_type)->restrict4(B,C,D,E)=restrict(D,E)))))))).
% 1.90/2.07  all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))-> (all E (ilf_type(E,set_type)->ilf_type(restrict4(B,C,D,E),relation_type(B,C))))))))).
% 1.90/2.07  all B ilf_type(B,set_type).
% 1.90/2.07  -(all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,set_type)-> (all E (ilf_type(E,relation_type(C,B))-> (subset(C,D)->restrict4(C,B,E,D)=E))))))))).
% 1.90/2.07  end_of_list.
% 1.90/2.07  
% 1.90/2.07  -------> usable clausifies to:
% 1.90/2.07  
% 1.90/2.07  list(usable).
% 1.90/2.07  0 [] A=A.
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B!=C| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -member(ordered_pair(D,E),B)|member(ordered_pair(D,E),C).
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B!=C| -ilf_type(D,set_type)| -ilf_type(E,set_type)|member(ordered_pair(D,E),B)| -member(ordered_pair(D,E),C).
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B=C|ilf_type($f2(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B=C|ilf_type($f1(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B=C|member(ordered_pair($f2(B,C),$f1(B,C)),B)|member(ordered_pair($f2(B,C),$f1(B,C)),C).
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B=C| -member(ordered_pair($f2(B,C),$f1(B,C)),B)| -member(ordered_pair($f2(B,C),$f1(B,C)),C).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,binary_relation_type)| -member(ordered_pair(C,D),restrict(E,B))|member(C,B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,binary_relation_type)| -member(ordered_pair(C,D),restrict(E,B))|member(ordered_pair(C,D),E).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,binary_relation_type)|member(ordered_pair(C,D),restrict(E,B))| -member(C,B)| -member(ordered_pair(C,D),E).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,relation_type(B,C))| -member(ordered_pair(D,E),F)|member(D,B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,relation_type(B,C))| -member(ordered_pair(D,E),F)|member(E,C).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|ilf_type(D,relation_type(B,C)).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(E,relation_type(B,C))|ilf_type(E,subset_type(cross_product(B,C))).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f3(B,C),relation_type(C,B)).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(B,C)| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|ilf_type($f4(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|member($f4(B,C),B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)| -member($f4(B,C),C).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(cross_product(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(ordered_pair(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)|ilf_type(restrict(B,C),binary_relation_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(B,binary_relation_type)|relation_like(B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|ilf_type(B,binary_relation_type)| -relation_like(B).
% 1.90/2.07  0 [] ilf_type($c1,binary_relation_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(C,subset_type(B))| -ilf_type(C,member_type(power_set(B))).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|ilf_type($f5(B),subset_type(B)).
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B!=C|C=B.
% 1.90/2.07  0 [] -ilf_type(B,binary_relation_type)|B=B.
% 1.90/2.07  0 [] -ilf_type(B,set_type)|subset(B,B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -member(B,power_set(C))| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|ilf_type($f6(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|member($f6(B,C),B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))| -member($f6(B,C),C).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -empty(power_set(B)).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|ilf_type(power_set(B),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)| -ilf_type(B,member_type(C))|member(B,C).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)|ilf_type(B,member_type(C))| -member(B,C).
% 1.90/2.07  0 [] empty(B)| -ilf_type(B,set_type)|ilf_type($f7(B),member_type(B)).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f9(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f8(B,C),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|C=ordered_pair($f9(B,C),$f8(B,C)).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|relation_like(B)|ilf_type($f10(B),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|relation_like(B)|member($f10(B),B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|relation_like(B)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|$f10(B)!=ordered_pair(D,E).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -empty(B)| -ilf_type(C,set_type)| -member(C,B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|empty(B)|ilf_type($f11(B),set_type).
% 1.90/2.07  0 [] -ilf_type(B,set_type)|empty(B)|member($f11(B),B).
% 1.90/2.07  0 [] -empty(B)| -ilf_type(B,set_type)|relation_like(B).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|restrict4(B,C,D,E)=restrict(D,E).
% 1.90/2.07  0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|ilf_type(restrict4(B,C,D,E),relation_type(B,C)).
% 1.90/2.07  0 [] ilf_type(B,set_type).
% 1.90/2.07  0 [] ilf_type($c5,set_type).
% 1.90/2.07  0 [] ilf_type($c4,set_type).
% 1.90/2.07  0 [] ilf_type($c3,set_type).
% 1.90/2.07  0 [] ilf_type($c2,relation_type($c4,$c5)).
% 1.90/2.07  0 [] subset($c4,$c3).
% 1.90/2.07  0 [] restrict4($c4,$c5,$c2,$c3)!=$c2.
% 1.90/2.07  end_of_list.
% 1.90/2.07  
% 1.90/2.07  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.90/2.07  
% 1.90/2.07  This ia a non-Horn set with equality.  The strategy will be
% 1.90/2.07  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.90/2.07  deletion, with positive clauses in sos and nonpositive
% 1.90/2.07  clauses in usable.
% 1.90/2.07  
% 1.90/2.07     dependent: set(knuth_bendix).
% 1.90/2.07     dependent: set(anl_eq).
% 1.90/2.07     dependent: set(para_from).
% 1.90/2.07     dependent: set(para_into).
% 1.90/2.07     dependent: clear(para_from_right).
% 1.90/2.07     dependent: clear(para_into_right).
% 1.90/2.07     dependent: set(para_from_vars).
% 1.90/2.07     dependent: set(eq_units_both_ways).
% 1.90/2.07     dependent: set(dynamic_demod_all).
% 1.90/2.07     dependent: set(dynamic_demod).
% 1.90/2.07     dependent: set(order_eq).
% 1.90/2.07     dependent: set(back_demod).
% 1.90/2.07     dependent: set(lrpo).
% 1.90/2.07     dependent: set(hyper_res).
% 1.90/2.07     dependent: set(unit_deletion).
% 1.90/2.07     dependent: set(factor).
% 1.90/2.07  
% 1.90/2.07  ------------> process usable:
% 1.90/2.07  ** KEPT (pick-wt=25): 1 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A!=B| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -member(ordered_pair(C,D),A)|member(ordered_pair(C,D),B).
% 1.90/2.07  ** KEPT (pick-wt=25): 2 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A!=B| -ilf_type(C,set_type)| -ilf_type(D,set_type)|member(ordered_pair(C,D),A)| -member(ordered_pair(C,D),B).
% 1.90/2.07  ** KEPT (pick-wt=14): 3 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A=B|ilf_type($f2(A,B),set_type).
% 1.90/2.07  ** KEPT (pick-wt=14): 4 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A=B|ilf_type($f1(A,B),set_type).
% 1.90/2.07  ** KEPT (pick-wt=27): 5 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A=B|member(ordered_pair($f2(A,B),$f1(A,B)),A)|member(ordered_pair($f2(A,B),$f1(A,B)),B).
% 1.90/2.07  ** KEPT (pick-wt=27): 6 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A=B| -member(ordered_pair($f2(A,B),$f1(A,B)),A)| -member(ordered_pair($f2(A,B),$f1(A,B)),B).
% 1.90/2.07  ** KEPT (pick-wt=22): 7 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),restrict(D,A))|member(B,A).
% 1.90/2.07  ** KEPT (pick-wt=24): 8 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),restrict(D,A))|member(ordered_pair(B,C),D).
% 1.90/2.07  ** KEPT (pick-wt=27): 9 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)|member(ordered_pair(B,C),restrict(D,A))| -member(B,A)| -member(ordered_pair(B,C),D).
% 1.94/2.10  ** KEPT (pick-wt=25): 10 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,relation_type(A,B))| -member(ordered_pair(C,D),E)|member(C,A).
% 1.94/2.10  ** KEPT (pick-wt=25): 11 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,relation_type(A,B))| -member(ordered_pair(C,D),E)|member(D,B).
% 1.94/2.10  ** KEPT (pick-wt=17): 12 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 1.94/2.10  ** KEPT (pick-wt=17): 13 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(C,subset_type(cross_product(A,B))).
% 1.94/2.10  ** KEPT (pick-wt=13): 14 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f3(A,B),relation_type(B,A)).
% 1.94/2.10  ** KEPT (pick-wt=18): 15 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.94/2.10  ** KEPT (pick-wt=14): 16 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|ilf_type($f4(A,B),set_type).
% 1.94/2.10  ** KEPT (pick-wt=14): 17 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|member($f4(A,B),A).
% 1.94/2.10  ** KEPT (pick-wt=14): 18 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)| -member($f4(A,B),B).
% 1.94/2.10  ** KEPT (pick-wt=11): 19 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(cross_product(A,B),set_type).
% 1.94/2.10  ** KEPT (pick-wt=11): 20 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(ordered_pair(A,B),set_type).
% 1.94/2.10  ** KEPT (pick-wt=11): 21 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)|ilf_type(restrict(A,B),binary_relation_type).
% 1.94/2.10  ** KEPT (pick-wt=8): 22 [] -ilf_type(A,set_type)| -ilf_type(A,binary_relation_type)|relation_like(A).
% 1.94/2.10  ** KEPT (pick-wt=8): 23 [] -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 1.94/2.10  ** KEPT (pick-wt=15): 24 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 1.94/2.10  ** KEPT (pick-wt=15): 25 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 1.94/2.10  ** KEPT (pick-wt=8): 26 [] -ilf_type(A,set_type)|ilf_type($f5(A),subset_type(A)).
% 1.94/2.10  ** KEPT (pick-wt=12): 27 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A!=B|B=A.
% 1.94/2.10  ** KEPT (pick-wt=6): 28 [] -ilf_type(A,binary_relation_type)|A=A.
% 1.94/2.10  ** KEPT (pick-wt=6): 29 [] -ilf_type(A,set_type)|subset(A,A).
% 1.94/2.10  ** KEPT (pick-wt=19): 30 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.94/2.10  ** KEPT (pick-wt=15): 31 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|ilf_type($f6(A,B),set_type).
% 1.94/2.10  ** KEPT (pick-wt=15): 32 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f6(A,B),A).
% 1.94/2.10  ** KEPT (pick-wt=15): 33 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f6(A,B),B).
% 1.94/2.10  ** KEPT (pick-wt=6): 34 [] -ilf_type(A,set_type)| -empty(power_set(A)).
% 1.94/2.10  ** KEPT (pick-wt=7): 35 [] -ilf_type(A,set_type)|ilf_type(power_set(A),set_type).
% 1.94/2.10  ** KEPT (pick-wt=15): 36 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 1.94/2.10  ** KEPT (pick-wt=15): 37 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 1.94/2.10  ** KEPT (pick-wt=10): 38 [] empty(A)| -ilf_type(A,set_type)|ilf_type($f7(A),member_type(A)).
% 1.94/2.10  ** KEPT (pick-wt=16): 39 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f9(A,B),set_type).
% 1.94/2.10  ** KEPT (pick-wt=16): 40 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f8(A,B),set_type).
% 1.94/2.10  ** KEPT (pick-wt=20): 42 [copy,41,flip.5] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ordered_pair($f9(A,B),$f8(A,B))=B.
% 1.94/2.10  ** KEPT (pick-wt=9): 43 [] -ilf_type(A,set_type)|relation_like(A)|ilf_type($f10(A),set_Alarm clock 
% 299.88/300.02  Otter interrupted
% 299.88/300.02  PROOF NOT FOUND
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