TSTP Solution File: SET650+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n023.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 13:13:59 EDT 2022
% Result : Unknown 2.73s 2.94s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET650+3 : TPTP v8.1.0. Released v2.2.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n023.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 11:15:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.99/2.20 ----- Otter 3.3f, August 2004 -----
% 1.99/2.20 The process was started by sandbox on n023.cluster.edu,
% 1.99/2.20 Wed Jul 27 11:15:18 2022
% 1.99/2.20 The command was "./otter". The process ID is 16543.
% 1.99/2.20
% 1.99/2.20 set(prolog_style_variables).
% 1.99/2.20 set(auto).
% 1.99/2.20 dependent: set(auto1).
% 1.99/2.20 dependent: set(process_input).
% 1.99/2.20 dependent: clear(print_kept).
% 1.99/2.20 dependent: clear(print_new_demod).
% 1.99/2.20 dependent: clear(print_back_demod).
% 1.99/2.20 dependent: clear(print_back_sub).
% 1.99/2.20 dependent: set(control_memory).
% 1.99/2.20 dependent: assign(max_mem, 12000).
% 1.99/2.20 dependent: assign(pick_given_ratio, 4).
% 1.99/2.20 dependent: assign(stats_level, 1).
% 1.99/2.20 dependent: assign(max_seconds, 10800).
% 1.99/2.20 clear(print_given).
% 1.99/2.20
% 1.99/2.20 formula_list(usable).
% 1.99/2.20 all A (A=A).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,binary_relation_type)-> (member(B,domain_of(C))<-> (exists D (ilf_type(D,set_type)&member(ordered_pair(B,D),C))))))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,binary_relation_type)-> (member(B,range_of(C))<-> (exists D (ilf_type(D,set_type)&member(ordered_pair(D,B),C))))))).
% 1.99/2.20 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))))))))))).
% 1.99/2.20 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,set_type)-> (member(C,domain_of(B))<-> (exists D (ilf_type(D,set_type)&member(ordered_pair(C,D),B))))))).
% 1.99/2.20 all B (ilf_type(B,binary_relation_type)->ilf_type(domain_of(B),set_type)).
% 1.99/2.20 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,set_type)-> (member(C,range_of(B))<-> (exists D (ilf_type(D,set_type)&member(ordered_pair(D,C),B))))))).
% 1.99/2.20 all B (ilf_type(B,binary_relation_type)->ilf_type(range_of(B),set_type)).
% 1.99/2.20 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)))))))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (exists D ilf_type(D,relation_type(C,B)))))).
% 1.99/2.20 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)))))))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(cross_product(B,C),set_type)))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(ordered_pair(B,C),set_type)))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (ilf_type(B,binary_relation_type)<->relation_like(B)&ilf_type(B,set_type))).
% 1.99/2.20 exists B ilf_type(B,binary_relation_type).
% 1.99/2.20 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))))))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (exists C ilf_type(C,subset_type(B)))).
% 1.99/2.20 all B (ilf_type(B,set_type)->subset(B,B)).
% 1.99/2.20 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)))))))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> -empty(power_set(B))&ilf_type(power_set(B),set_type)).
% 1.99/2.20 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))))).
% 1.99/2.20 all B (-empty(B)&ilf_type(B,set_type)-> (exists C ilf_type(C,member_type(B)))).
% 1.99/2.20 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)))))))))).
% 1.99/2.20 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)))))).
% 1.99/2.20 all B (ilf_type(B,set_type)-> (empty(B)<-> (all C (ilf_type(C,set_type)-> -member(C,B))))).
% 1.99/2.20 all B (empty(B)&ilf_type(B,set_type)->relation_like(B)).
% 1.99/2.20 all B ilf_type(B,set_type).
% 1.99/2.20 -(all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))->subset(domain_of(D),B)&subset(range_of(D),C))))))).
% 1.99/2.20 end_of_list.
% 1.99/2.20
% 1.99/2.20 -------> usable clausifies to:
% 1.99/2.20
% 1.99/2.20 list(usable).
% 1.99/2.20 0 [] A=A.
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,domain_of(C))|ilf_type($f1(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,domain_of(C))|member(ordered_pair(B,$f1(B,C)),C).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)|member(B,domain_of(C))| -ilf_type(D,set_type)| -member(ordered_pair(B,D),C).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,range_of(C))|ilf_type($f2(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(B,range_of(C))|member(ordered_pair($f2(B,C),B),C).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)|member(B,range_of(C))| -ilf_type(D,set_type)| -member(ordered_pair(D,B),C).
% 1.99/2.20 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).
% 1.99/2.20 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).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)| -member(C,domain_of(B))|ilf_type($f3(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)| -member(C,domain_of(B))|member(ordered_pair(C,$f3(B,C)),B).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)|member(C,domain_of(B))| -ilf_type(D,set_type)| -member(ordered_pair(C,D),B).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)|ilf_type(domain_of(B),set_type).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)| -member(C,range_of(B))|ilf_type($f4(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)| -member(C,range_of(B))|member(ordered_pair($f4(B,C),C),B).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)|member(C,range_of(B))| -ilf_type(D,set_type)| -member(ordered_pair(D,C),B).
% 1.99/2.20 0 [] -ilf_type(B,binary_relation_type)|ilf_type(range_of(B),set_type).
% 1.99/2.20 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)).
% 1.99/2.20 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))).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f5(B,C),relation_type(C,B)).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(B,C)| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|ilf_type($f6(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|member($f6(B,C),B).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)| -member($f6(B,C),C).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(cross_product(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(ordered_pair(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(B,binary_relation_type)|relation_like(B).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|ilf_type(B,binary_relation_type)| -relation_like(B).
% 1.99/2.20 0 [] ilf_type($c1,binary_relation_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(C,subset_type(B))| -ilf_type(C,member_type(power_set(B))).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|ilf_type($f7(B),subset_type(B)).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|subset(B,B).
% 1.99/2.20 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).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|ilf_type($f8(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|member($f8(B,C),B).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))| -member($f8(B,C),C).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -empty(power_set(B)).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|ilf_type(power_set(B),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)| -ilf_type(B,member_type(C))|member(B,C).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)|ilf_type(B,member_type(C))| -member(B,C).
% 1.99/2.20 0 [] empty(B)| -ilf_type(B,set_type)|ilf_type($f9(B),member_type(B)).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f11(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f10(B,C),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|C=ordered_pair($f11(B,C),$f10(B,C)).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|relation_like(B)|ilf_type($f12(B),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|relation_like(B)|member($f12(B),B).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|relation_like(B)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|$f12(B)!=ordered_pair(D,E).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D).
% 1.99/2.20 0 [] -ilf_type(B,set_type)| -empty(B)| -ilf_type(C,set_type)| -member(C,B).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|empty(B)|ilf_type($f13(B),set_type).
% 1.99/2.20 0 [] -ilf_type(B,set_type)|empty(B)|member($f13(B),B).
% 1.99/2.20 0 [] -empty(B)| -ilf_type(B,set_type)|relation_like(B).
% 1.99/2.20 0 [] ilf_type(B,set_type).
% 1.99/2.20 0 [] ilf_type($c4,set_type).
% 1.99/2.20 0 [] ilf_type($c3,set_type).
% 1.99/2.20 0 [] ilf_type($c2,relation_type($c4,$c3)).
% 1.99/2.20 0 [] -subset(domain_of($c2),$c4)| -subset(range_of($c2),$c3).
% 1.99/2.20 end_of_list.
% 1.99/2.20
% 1.99/2.20 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.99/2.20
% 1.99/2.20 This ia a non-Horn set with equality. The strategy will be
% 1.99/2.20 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.99/2.20 deletion, with positive clauses in sos and nonpositive
% 1.99/2.20 clauses in usable.
% 1.99/2.20
% 1.99/2.20 dependent: set(knuth_bendix).
% 1.99/2.20 dependent: set(anl_eq).
% 1.99/2.20 dependent: set(para_from).
% 1.99/2.20 dependent: set(para_into).
% 1.99/2.20 dependent: clear(para_from_right).
% 1.99/2.20 dependent: clear(para_into_right).
% 1.99/2.20 dependent: set(para_from_vars).
% 1.99/2.20 dependent: set(eq_units_both_ways).
% 1.99/2.20 dependent: set(dynamic_demod_all).
% 1.99/2.20 dependent: set(dynamic_demod).
% 1.99/2.20 dependent: set(order_eq).
% 1.99/2.20 dependent: set(back_demod).
% 1.99/2.20 dependent: set(lrpo).
% 1.99/2.20 dependent: set(hyper_res).
% 1.99/2.20 dependent: set(unit_deletion).
% 1.99/2.20 dependent: set(factor).
% 1.99/2.20
% 1.99/2.20 ------------> process usable:
% 1.99/2.20 ** KEPT (pick-wt=15): 1 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,domain_of(B))|ilf_type($f1(A,B),set_type).
% 1.99/2.20 ** KEPT (pick-wt=17): 2 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,domain_of(B))|member(ordered_pair(A,$f1(A,B)),B).
% 1.99/2.20 ** KEPT (pick-wt=18): 3 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)|member(A,domain_of(B))| -ilf_type(C,set_type)| -member(ordered_pair(A,C),B).
% 1.99/2.20 ** KEPT (pick-wt=15): 4 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,range_of(B))|ilf_type($f2(A,B),set_type).
% 1.99/2.20 ** KEPT (pick-wt=17): 5 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)| -member(A,range_of(B))|member(ordered_pair($f2(A,B),A),B).
% 1.99/2.20 ** KEPT (pick-wt=18): 6 [] -ilf_type(A,set_type)| -ilf_type(B,binary_relation_type)|member(A,range_of(B))| -ilf_type(C,set_type)| -member(ordered_pair(C,A),B).
% 1.99/2.20 ** KEPT (pick-wt=25): 7 [] -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).
% 1.99/2.20 ** KEPT (pick-wt=25): 8 [] -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).
% 1.99/2.20 ** KEPT (pick-wt=15): 9 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)| -member(B,domain_of(A))|ilf_type($f3(A,B),set_type).
% 1.99/2.20 ** KEPT (pick-wt=17): 10 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)| -member(B,domain_of(A))|member(ordered_pair(B,$f3(A,B)),A).
% 1.99/2.20 Following clause subsumed by 3 during input processing: 0 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)|member(B,domain_of(A))| -ilf_type(C,set_type)| -member(ordered_pair(B,C),A).
% 1.99/2.20 ** KEPT (pick-wt=7): 11 [] -ilf_type(A,binary_relation_type)|ilf_type(domain_of(A),set_type).
% 1.99/2.20 ** KEPT (pick-wt=15): 12 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)| -member(B,range_of(A))|ilf_type($f4(A,B),set_type).
% 1.99/2.20 ** KEPT (pick-wt=17): 13 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)| -member(B,range_of(A))|member(ordered_pair($f4(A,B),B),A).
% 2.04/2.22 Following clause subsumed by 6 during input processing: 0 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)|member(B,range_of(A))| -ilf_type(C,set_type)| -member(ordered_pair(C,B),A).
% 2.04/2.22 ** KEPT (pick-wt=7): 14 [] -ilf_type(A,binary_relation_type)|ilf_type(range_of(A),set_type).
% 2.04/2.22 ** KEPT (pick-wt=17): 15 [] -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)).
% 2.04/2.22 ** KEPT (pick-wt=17): 16 [] -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))).
% 2.04/2.22 ** KEPT (pick-wt=13): 17 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f5(A,B),relation_type(B,A)).
% 2.04/2.22 ** KEPT (pick-wt=18): 18 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.04/2.22 ** KEPT (pick-wt=14): 19 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|ilf_type($f6(A,B),set_type).
% 2.04/2.22 ** KEPT (pick-wt=14): 20 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|member($f6(A,B),A).
% 2.04/2.22 ** KEPT (pick-wt=14): 21 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)| -member($f6(A,B),B).
% 2.04/2.22 ** KEPT (pick-wt=11): 22 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(cross_product(A,B),set_type).
% 2.04/2.22 ** KEPT (pick-wt=11): 23 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(ordered_pair(A,B),set_type).
% 2.04/2.22 ** KEPT (pick-wt=8): 24 [] -ilf_type(A,set_type)| -ilf_type(A,binary_relation_type)|relation_like(A).
% 2.04/2.22 ** KEPT (pick-wt=8): 25 [] -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 2.04/2.22 ** KEPT (pick-wt=15): 26 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 2.04/2.22 ** KEPT (pick-wt=15): 27 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 2.04/2.22 ** KEPT (pick-wt=8): 28 [] -ilf_type(A,set_type)|ilf_type($f7(A),subset_type(A)).
% 2.04/2.22 ** KEPT (pick-wt=6): 29 [] -ilf_type(A,set_type)|subset(A,A).
% 2.04/2.22 ** KEPT (pick-wt=19): 30 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.04/2.22 ** KEPT (pick-wt=15): 31 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|ilf_type($f8(A,B),set_type).
% 2.04/2.22 ** KEPT (pick-wt=15): 32 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f8(A,B),A).
% 2.04/2.22 ** KEPT (pick-wt=15): 33 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f8(A,B),B).
% 2.04/2.22 ** KEPT (pick-wt=6): 34 [] -ilf_type(A,set_type)| -empty(power_set(A)).
% 2.04/2.22 ** KEPT (pick-wt=7): 35 [] -ilf_type(A,set_type)|ilf_type(power_set(A),set_type).
% 2.04/2.22 ** 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).
% 2.04/2.22 ** 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).
% 2.04/2.22 ** KEPT (pick-wt=10): 38 [] empty(A)| -ilf_type(A,set_type)|ilf_type($f9(A),member_type(A)).
% 2.04/2.22 ** KEPT (pick-wt=16): 39 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f11(A,B),set_type).
% 2.04/2.22 ** KEPT (pick-wt=16): 40 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f10(A,B),set_type).
% 2.04/2.22 ** KEPT (pick-wt=20): 42 [copy,41,flip.5] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ordered_pair($f11(A,B),$f10(A,B))=B.
% 2.04/2.22 ** KEPT (pick-wt=9): 43 [] -ilf_type(A,set_type)|relation_like(A)|ilf_type($f12(A),set_type).
% 2.04/2.22 ** KEPT (pick-wt=9): 44 [] -ilf_type(A,set_type)|relation_like(A)|member($f12(A),A).
% 2.04/2.22 ** KEPT (pick-wt=17): 45 [] -ilf_type(A,set_type)|relation_like(A)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|$f12(A)!=ordered_pair(B,C).
% 2.04/2.22 ** KEPT (pick-wt=14): 46 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|relation_like(C).
% 2.04/2.22 ** KEPT (pick-wt=11): 47 [] -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 2.04/2.22 ** KEPT (pick-wt=9): 48 [] -ilf_type(A,set_type)|empty(A)|ilf_type($f13(A),set_type).
% 2.04/2.22 ** KEPT (pick-wt=9): 49 [] -ilf_type(A,set_type)|empty(A)|member($f13(A),A).
% 2.73/2.94 ** KEPT (pick-wt=7): 50 [] -empty(A)| -ilf_type(A,set_type)|relation_like(A).
% 2.73/2.94 ** KEPT (pick-wt=8): 51 [] -subset(domain_of($c2),$c4)| -subset(range_of($c2),$c3).
% 2.73/2.94
% 2.73/2.94 ------------> process sos:
% 2.73/2.94 ** KEPT (pick-wt=3): 106 [] A=A.
% 2.73/2.94 ** KEPT (pick-wt=3): 107 [] ilf_type($c1,binary_relation_type).
% 2.73/2.94 ** KEPT (pick-wt=3): 108 [] ilf_type(A,set_type).
% 2.73/2.94 Following clause subsumed by 108 during input processing: 0 [] ilf_type($c4,set_type).
% 2.73/2.94 Following clause subsumed by 108 during input processing: 0 [] ilf_type($c3,set_type).
% 2.73/2.94 ** KEPT (pick-wt=5): 109 [] ilf_type($c2,relation_type($c4,$c3)).
% 2.73/2.94 Following clause subsumed by 106 during input processing: 0 [copy,106,flip.1] A=A.
% 2.73/2.94 108 back subsumes 84.
% 2.73/2.94 108 back subsumes 83.
% 2.73/2.94 108 back subsumes 78.
% 2.73/2.94 108 back subsumes 72.
% 2.73/2.94 108 back subsumes 71.
% 2.73/2.94 108 back subsumes 48.
% 2.73/2.94 108 back subsumes 43.
% 2.73/2.94 108 back subsumes 40.
% 2.73/2.94 108 back subsumes 39.
% 2.73/2.94 108 back subsumes 35.
% 2.73/2.94 108 back subsumes 31.
% 2.73/2.94 108 back subsumes 23.
% 2.73/2.94 108 back subsumes 22.
% 2.73/2.94 108 back subsumes 19.
% 2.73/2.94 108 back subsumes 14.
% 2.73/2.94 108 back subsumes 12.
% 2.73/2.94 108 back subsumes 11.
% 2.73/2.94 108 back subsumes 9.
% 2.73/2.94 108 back subsumes 4.
% 2.73/2.94 108 back subsumes 1.
% 2.73/2.94
% 2.73/2.94 ======= end of input processing =======
% 2.73/2.94
% 2.73/2.94 =========== start of search ===========
% 2.73/2.94
% 2.73/2.94
% 2.73/2.94 Resetting weight limit to 10.
% 2.73/2.94
% 2.73/2.94
% 2.73/2.94 Resetting weight limit to 10.
% 2.73/2.94
% 2.73/2.94 sos_size=179
% 2.73/2.94
% 2.73/2.94 Search stopped because sos empty.
% 2.73/2.94
% 2.73/2.94
% 2.73/2.94 Search stopped because sos empty.
% 2.73/2.94
% 2.73/2.94 ============ end of search ============
% 2.73/2.94
% 2.73/2.94 -------------- statistics -------------
% 2.73/2.94 clauses given 327
% 2.73/2.94 clauses generated 90083
% 2.73/2.94 clauses kept 495
% 2.73/2.94 clauses forward subsumed 714
% 2.73/2.94 clauses back subsumed 115
% 2.73/2.94 Kbytes malloced 8789
% 2.73/2.94
% 2.73/2.94 ----------- times (seconds) -----------
% 2.73/2.94 user CPU time 0.74 (0 hr, 0 min, 0 sec)
% 2.73/2.94 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.73/2.94 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.73/2.94
% 2.73/2.94 Process 16543 finished Wed Jul 27 11:15:20 2022
% 2.73/2.94 Otter interrupted
% 2.73/2.94 PROOF NOT FOUND
%------------------------------------------------------------------------------