TSTP Solution File: SET657+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET657+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n014.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 13:14:00 EDT 2022
% Result : Timeout 299.91s 300.08s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET657+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jul 27 10:38:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.74/1.94 ----- Otter 3.3f, August 2004 -----
% 1.74/1.94 The process was started by sandbox2 on n014.cluster.edu,
% 1.74/1.94 Wed Jul 27 10:38:39 2022
% 1.74/1.94 The command was "./otter". The process ID is 31614.
% 1.74/1.94
% 1.74/1.94 set(prolog_style_variables).
% 1.74/1.94 set(auto).
% 1.74/1.94 dependent: set(auto1).
% 1.74/1.94 dependent: set(process_input).
% 1.74/1.94 dependent: clear(print_kept).
% 1.74/1.94 dependent: clear(print_new_demod).
% 1.74/1.94 dependent: clear(print_back_demod).
% 1.74/1.94 dependent: clear(print_back_sub).
% 1.74/1.94 dependent: set(control_memory).
% 1.74/1.94 dependent: assign(max_mem, 12000).
% 1.74/1.94 dependent: assign(pick_given_ratio, 4).
% 1.74/1.94 dependent: assign(stats_level, 1).
% 1.74/1.94 dependent: assign(max_seconds, 10800).
% 1.74/1.94 clear(print_given).
% 1.74/1.94
% 1.74/1.94 formula_list(usable).
% 1.74/1.94 all A (A=A).
% 1.74/1.94 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)-> (subset(B,C)&subset(D,E)->subset(union(B,D),union(C,E)))))))))).
% 1.74/1.94 all B (ilf_type(B,binary_relation_type)->field_of(B)=union(domain_of(B),range_of(B))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,set_type)-> (member(D,union(B,C))<->member(D,B)|member(D,C))))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(union(B,C),set_type)))).
% 1.74/1.94 all B (ilf_type(B,binary_relation_type)->field_of(B)=union(domain_of(B),range_of(B))).
% 1.74/1.94 all B (ilf_type(B,binary_relation_type)->ilf_type(field_of(B),set_type)).
% 1.74/1.94 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)))))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (exists D ilf_type(D,relation_type(C,B)))))).
% 1.74/1.94 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)))))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->union(B,C)=union(C,B)))).
% 1.74/1.94 all B (ilf_type(B,binary_relation_type)->ilf_type(domain_of(B),set_type)).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(cross_product(B,C),set_type)))).
% 1.74/1.94 all B (ilf_type(B,binary_relation_type)->ilf_type(range_of(B),set_type)).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (ilf_type(B,binary_relation_type)<->relation_like(B)&ilf_type(B,set_type))).
% 1.74/1.94 exists B ilf_type(B,binary_relation_type).
% 1.74/1.94 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))))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (exists C ilf_type(C,subset_type(B)))).
% 1.74/1.94 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,binary_relation_type)-> (B=C->C=B)))).
% 1.74/1.94 all B (ilf_type(B,binary_relation_type)->B=B).
% 1.74/1.94 all B (ilf_type(B,set_type)->subset(B,B)).
% 1.74/1.94 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)))))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> -empty(power_set(B))&ilf_type(power_set(B),set_type)).
% 1.74/1.94 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))))).
% 1.74/1.94 all B (-empty(B)&ilf_type(B,set_type)-> (exists C ilf_type(C,member_type(B)))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (B=C<-> (all D (ilf_type(D,set_type)-> (member(D,B)<->member(D,C)))))))).
% 1.74/1.94 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)))))))))).
% 1.74/1.94 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)))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(ordered_pair(B,C),set_type)))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (empty(B)<-> (all C (ilf_type(C,set_type)-> -member(C,B))))).
% 1.74/1.94 all B (empty(B)&ilf_type(B,set_type)->relation_like(B)).
% 1.74/1.94 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,relation_type(B,C))->union4(B,C,D,E)=union(D,E)))))))).
% 1.74/1.94 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,relation_type(B,C))->ilf_type(union4(B,C,D,E),relation_type(B,C))))))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))->domain(B,C,D)=domain_of(D)))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))->ilf_type(domain(B,C,D),subset_type(B))))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))->range(B,C,D)=range_of(D)))))).
% 1.74/1.94 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))->ilf_type(range(B,C,D),subset_type(C))))))).
% 1.74/1.94 all B ilf_type(B,set_type).
% 1.74/1.94 -(all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))->subset(field_of(D),union(B,C)))))))).
% 1.74/1.94 end_of_list.
% 1.74/1.94
% 1.74/1.94 -------> usable clausifies to:
% 1.74/1.94
% 1.74/1.94 list(usable).
% 1.74/1.94 0 [] A=A.
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -subset(B,C)| -subset(D,E)|subset(union(B,D),union(C,E)).
% 1.74/1.94 0 [] -ilf_type(B,binary_relation_type)|field_of(B)=union(domain_of(B),range_of(B)).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -member(D,union(B,C))|member(D,B)|member(D,C).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|member(D,union(B,C))| -member(D,B).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|member(D,union(B,C))| -member(D,C).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(union(B,C),set_type).
% 1.74/1.94 0 [] -ilf_type(B,binary_relation_type)|field_of(B)=union(domain_of(B),range_of(B)).
% 1.74/1.94 0 [] -ilf_type(B,binary_relation_type)|ilf_type(field_of(B),set_type).
% 1.74/1.94 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)).
% 1.74/1.94 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))).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f1(B,C),relation_type(C,B)).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(B,C)| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|ilf_type($f2(B,C),set_type).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|member($f2(B,C),B).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)| -member($f2(B,C),C).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|union(B,C)=union(C,B).
% 1.74/1.94 0 [] -ilf_type(B,binary_relation_type)|ilf_type(domain_of(B),set_type).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(cross_product(B,C),set_type).
% 1.74/1.94 0 [] -ilf_type(B,binary_relation_type)|ilf_type(range_of(B),set_type).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(B,binary_relation_type)|relation_like(B).
% 1.74/1.94 0 [] -ilf_type(B,set_type)|ilf_type(B,binary_relation_type)| -relation_like(B).
% 1.74/1.94 0 [] ilf_type($c1,binary_relation_type).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(C,subset_type(B))| -ilf_type(C,member_type(power_set(B))).
% 1.74/1.94 0 [] -ilf_type(B,set_type)|ilf_type($f3(B),subset_type(B)).
% 1.74/1.94 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B!=C|C=B.
% 1.74/1.94 0 [] -ilf_type(B,binary_relation_type)|B=B.
% 1.74/1.94 0 [] -ilf_type(B,set_type)|subset(B,B).
% 1.74/1.94 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).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|ilf_type($f4(B,C),set_type).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|member($f4(B,C),B).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))| -member($f4(B,C),C).
% 1.74/1.94 0 [] -ilf_type(B,set_type)| -empty(power_set(B)).
% 1.74/1.94 0 [] -ilf_type(B,set_type)|ilf_type(power_set(B),set_type).
% 1.74/1.94 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)| -ilf_type(B,member_type(C))|member(B,C).
% 1.74/1.94 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)|ilf_type(B,member_type(C))| -member(B,C).
% 1.74/1.95 0 [] empty(B)| -ilf_type(B,set_type)|ilf_type($f5(B),member_type(B)).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)|member(D,B)| -member(D,C).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|ilf_type($f6(B,C),set_type).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|member($f6(B,C),B)|member($f6(B,C),C).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C| -member($f6(B,C),B)| -member($f6(B,C),C).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f8(B,C),set_type).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f7(B,C),set_type).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|C=ordered_pair($f8(B,C),$f7(B,C)).
% 1.74/1.95 0 [] -ilf_type(B,set_type)|relation_like(B)|ilf_type($f9(B),set_type).
% 1.74/1.95 0 [] -ilf_type(B,set_type)|relation_like(B)|member($f9(B),B).
% 1.74/1.95 0 [] -ilf_type(B,set_type)|relation_like(B)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|$f9(B)!=ordered_pair(D,E).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(ordered_pair(B,C),set_type).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -empty(B)| -ilf_type(C,set_type)| -member(C,B).
% 1.74/1.95 0 [] -ilf_type(B,set_type)|empty(B)|ilf_type($f10(B),set_type).
% 1.74/1.95 0 [] -ilf_type(B,set_type)|empty(B)|member($f10(B),B).
% 1.74/1.95 0 [] -empty(B)| -ilf_type(B,set_type)|relation_like(B).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,relation_type(B,C))|union4(B,C,D,E)=union(D,E).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,relation_type(B,C))|ilf_type(union4(B,C,D,E),relation_type(B,C)).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|domain(B,C,D)=domain_of(D).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|ilf_type(domain(B,C,D),subset_type(B)).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|range(B,C,D)=range_of(D).
% 1.74/1.95 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|ilf_type(range(B,C,D),subset_type(C)).
% 1.74/1.95 0 [] ilf_type(B,set_type).
% 1.74/1.95 0 [] ilf_type($c4,set_type).
% 1.74/1.95 0 [] ilf_type($c3,set_type).
% 1.74/1.95 0 [] ilf_type($c2,relation_type($c4,$c3)).
% 1.74/1.95 0 [] -subset(field_of($c2),union($c4,$c3)).
% 1.74/1.95 end_of_list.
% 1.74/1.95
% 1.74/1.95 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.74/1.95
% 1.74/1.95 This ia a non-Horn set with equality. The strategy will be
% 1.74/1.95 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.74/1.95 deletion, with positive clauses in sos and nonpositive
% 1.74/1.95 clauses in usable.
% 1.74/1.95
% 1.74/1.95 dependent: set(knuth_bendix).
% 1.74/1.95 dependent: set(anl_eq).
% 1.74/1.95 dependent: set(para_from).
% 1.74/1.95 dependent: set(para_into).
% 1.74/1.95 dependent: clear(para_from_right).
% 1.74/1.95 dependent: clear(para_into_right).
% 1.74/1.95 dependent: set(para_from_vars).
% 1.74/1.95 dependent: set(eq_units_both_ways).
% 1.74/1.95 dependent: set(dynamic_demod_all).
% 1.74/1.95 dependent: set(dynamic_demod).
% 1.74/1.95 dependent: set(order_eq).
% 1.74/1.95 dependent: set(back_demod).
% 1.74/1.95 dependent: set(lrpo).
% 1.74/1.95 dependent: set(hyper_res).
% 1.74/1.95 dependent: set(unit_deletion).
% 1.74/1.95 dependent: set(factor).
% 1.74/1.95
% 1.74/1.95 ------------> process usable:
% 1.74/1.95 ** KEPT (pick-wt=25): 1 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -subset(A,B)| -subset(C,D)|subset(union(A,C),union(B,D)).
% 1.74/1.95 ** KEPT (pick-wt=11): 3 [copy,2,flip.2] -ilf_type(A,binary_relation_type)|union(domain_of(A),range_of(A))=field_of(A).
% 1.74/1.95 ** KEPT (pick-wt=20): 4 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -member(C,union(A,B))|member(C,A)|member(C,B).
% 1.74/1.95 ** KEPT (pick-wt=17): 5 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(C,union(A,B))| -member(C,A).
% 1.74/1.95 ** KEPT (pick-wt=17): 6 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(C,union(A,B))| -member(C,B).
% 1.74/1.95 ** KEPT (pick-wt=11): 7 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(union(A,B),set_type).
% 1.74/1.95 Following clause subsumed by 3 during input processing: 0 [flip.2] -ilf_type(A,binary_relation_type)|union(domain_of(A),range_of(A))=field_of(A).
% 1.74/1.95 ** KEPT (pick-wt=7): 8 [] -ilf_type(A,binary_relation_type)|ilf_type(field_of(A),set_type).
% 1.74/1.95 ** KEPT (pick-wt=17): 9 [] -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)).
% 1.74/1.95 ** KEPT (pick-wt=17): 10 [] -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))).
% 1.74/1.95 ** KEPT (pick-wt=13): 11 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f1(A,B),relation_type(B,A)).
% 1.74/1.95 ** KEPT (pick-wt=18): 12 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.74/1.95 ** KEPT (pick-wt=14): 13 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|ilf_type($f2(A,B),set_type).
% 1.74/1.95 ** KEPT (pick-wt=14): 14 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|member($f2(A,B),A).
% 1.74/1.95 ** KEPT (pick-wt=14): 15 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)| -member($f2(A,B),B).
% 1.74/1.95 ** KEPT (pick-wt=13): 16 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|union(A,B)=union(B,A).
% 1.74/1.95 ** KEPT (pick-wt=7): 17 [] -ilf_type(A,binary_relation_type)|ilf_type(domain_of(A),set_type).
% 1.74/1.95 ** KEPT (pick-wt=11): 18 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(cross_product(A,B),set_type).
% 1.74/1.95 ** KEPT (pick-wt=7): 19 [] -ilf_type(A,binary_relation_type)|ilf_type(range_of(A),set_type).
% 1.74/1.95 ** KEPT (pick-wt=8): 20 [] -ilf_type(A,set_type)| -ilf_type(A,binary_relation_type)|relation_like(A).
% 1.74/1.95 ** KEPT (pick-wt=8): 21 [] -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 1.74/1.95 ** KEPT (pick-wt=15): 22 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 1.74/1.95 ** KEPT (pick-wt=15): 23 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 1.74/1.95 ** KEPT (pick-wt=8): 24 [] -ilf_type(A,set_type)|ilf_type($f3(A),subset_type(A)).
% 1.74/1.95 ** KEPT (pick-wt=12): 25 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A!=B|B=A.
% 1.74/1.95 ** KEPT (pick-wt=6): 26 [] -ilf_type(A,binary_relation_type)|A=A.
% 1.74/1.95 ** KEPT (pick-wt=6): 27 [] -ilf_type(A,set_type)|subset(A,A).
% 1.74/1.95 ** KEPT (pick-wt=19): 28 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.74/1.95 ** KEPT (pick-wt=15): 29 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|ilf_type($f4(A,B),set_type).
% 1.74/1.95 ** KEPT (pick-wt=15): 30 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f4(A,B),A).
% 1.74/1.95 ** KEPT (pick-wt=15): 31 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f4(A,B),B).
% 1.74/1.95 ** KEPT (pick-wt=6): 32 [] -ilf_type(A,set_type)| -empty(power_set(A)).
% 1.74/1.95 ** KEPT (pick-wt=7): 33 [] -ilf_type(A,set_type)|ilf_type(power_set(A),set_type).
% 1.74/1.95 ** KEPT (pick-wt=15): 34 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 1.74/1.95 ** KEPT (pick-wt=15): 35 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 1.74/1.95 ** KEPT (pick-wt=10): 36 [] empty(A)| -ilf_type(A,set_type)|ilf_type($f5(A),member_type(A)).
% 1.74/1.95 ** KEPT (pick-wt=18): 37 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.74/1.95 ** KEPT (pick-wt=18): 38 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)|member(C,A)| -member(C,B).
% 1.74/1.95 ** KEPT (pick-wt=14): 39 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|ilf_type($f6(A,B),set_type).
% 1.74/1.95 ** KEPT (pick-wt=19): 40 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|member($f6(A,B),A)|member($f6(A,B),B).
% 1.74/1.95 ** KEPT (pick-wt=19): 41 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B| -member($f6(A,B),A)| -member($f6(A,B),B).
% 1.74/1.95 ** KEPT (pick-wt=16): 42 [] -ilf_type(A,set_typeAlarm clock
% 299.91/300.08 Otter interrupted
% 299.91/300.08 PROOF NOT FOUND
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