TSTP Solution File: SET660+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET660+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.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 : Unknown 20.67s 20.86s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET660+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n029.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 10:44:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.08 ----- Otter 3.3f, August 2004 -----
% 1.86/2.08 The process was started by sandbox on n029.cluster.edu,
% 1.86/2.08 Wed Jul 27 10:44:29 2022
% 1.86/2.08 The command was "./otter". The process ID is 15743.
% 1.86/2.08
% 1.86/2.08 set(prolog_style_variables).
% 1.86/2.08 set(auto).
% 1.86/2.08 dependent: set(auto1).
% 1.86/2.08 dependent: set(process_input).
% 1.86/2.08 dependent: clear(print_kept).
% 1.86/2.08 dependent: clear(print_new_demod).
% 1.86/2.08 dependent: clear(print_back_demod).
% 1.86/2.08 dependent: clear(print_back_sub).
% 1.86/2.08 dependent: set(control_memory).
% 1.86/2.08 dependent: assign(max_mem, 12000).
% 1.86/2.08 dependent: assign(pick_given_ratio, 4).
% 1.86/2.08 dependent: assign(stats_level, 1).
% 1.86/2.08 dependent: assign(max_seconds, 10800).
% 1.86/2.08 clear(print_given).
% 1.86/2.08
% 1.86/2.08 formula_list(usable).
% 1.86/2.08 all A (A=A).
% 1.86/2.08 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))))))).
% 1.86/2.08 all B (ilf_type(B,binary_relation_type)->ilf_type(range_of(B),set_type)).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,binary_relation_type)-> (member(ordered_pair(B,C),D)->member(B,domain_of(D))&member(C,range_of(D)))))))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> ((all D (ilf_type(D,set_type)-> (member(D,B)<->member(D,C))))->B=C)))).
% 1.86/2.08 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,set_type)-> (F=ordered_pair(D,E)<->F=unordered_pair(unordered_pair(D,E),singleton(D)))))))))))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(ordered_pair(B,C),set_type)))).
% 1.86/2.08 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)))))))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (exists D ilf_type(D,relation_type(C,B)))))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (B=C<->subset(B,C)&subset(C,B))))).
% 1.86/2.08 all B (ilf_type(B,binary_relation_type)->ilf_type(domain_of(B),set_type)).
% 1.86/2.08 all B (ilf_type(B,set_type)->ilf_type(singleton(B),set_type)).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(cross_product(B,C),set_type)))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(unordered_pair(B,C),set_type)))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->unordered_pair(B,C)=unordered_pair(C,B)))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (ilf_type(B,binary_relation_type)<->relation_like(B)&ilf_type(B,set_type))).
% 1.86/2.08 exists B ilf_type(B,binary_relation_type).
% 1.86/2.08 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))))))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (exists C ilf_type(C,subset_type(B)))).
% 1.86/2.08 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)))))))).
% 1.86/2.08 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)))))))).
% 1.86/2.08 all B (ilf_type(B,set_type)->subset(B,B)).
% 1.86/2.08 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)))))))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> -empty(power_set(B))&ilf_type(power_set(B),set_type)).
% 1.86/2.08 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))))).
% 1.86/2.08 all B (-empty(B)&ilf_type(B,set_type)-> (exists C ilf_type(C,member_type(B)))).
% 1.86/2.08 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)))))))))).
% 1.86/2.08 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)))))).
% 1.86/2.08 all B (ilf_type(B,set_type)-> (empty(B)<-> (all C (ilf_type(C,set_type)-> -member(C,B))))).
% 1.86/2.08 all B (empty(B)&ilf_type(B,set_type)->relation_like(B)).
% 1.86/2.08 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)))))).
% 1.86/2.08 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))))))).
% 1.86/2.08 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)))))).
% 1.86/2.08 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))))))).
% 1.86/2.08 all B ilf_type(B,set_type).
% 1.86/2.08 -(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)-> (member(E,C)-> (exists F (ilf_type(F,set_type)&member(ordered_pair(F,E),D))))))<->range(B,C,D)=C))))))).
% 1.86/2.08 end_of_list.
% 1.86/2.08
% 1.86/2.08 -------> usable clausifies to:
% 1.86/2.08
% 1.86/2.08 list(usable).
% 1.86/2.08 0 [] A=A.
% 1.86/2.08 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)| -member(C,range_of(B))|ilf_type($f1(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)| -member(C,range_of(B))|member(ordered_pair($f1(B,C),C),B).
% 1.86/2.08 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).
% 1.86/2.08 0 [] -ilf_type(B,binary_relation_type)|ilf_type(range_of(B),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),D)|member(B,domain_of(D)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),D)|member(C,range_of(D)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f2(B,C),set_type)|B=C.
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member($f2(B,C),B)|member($f2(B,C),C)|B=C.
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -member($f2(B,C),B)| -member($f2(B,C),C)|B=C.
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,set_type)|F!=ordered_pair(D,E)|F=unordered_pair(unordered_pair(D,E),singleton(D)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,set_type)|F=ordered_pair(D,E)|F!=unordered_pair(unordered_pair(D,E),singleton(D)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(ordered_pair(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|ilf_type(D,relation_type(B,C)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(E,relation_type(B,C))|ilf_type(E,subset_type(cross_product(B,C))).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f3(B,C),relation_type(C,B)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C|subset(B,C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C|subset(C,B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C| -subset(B,C)| -subset(C,B).
% 1.86/2.08 0 [] -ilf_type(B,binary_relation_type)|ilf_type(domain_of(B),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|ilf_type(singleton(B),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(cross_product(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(unordered_pair(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|unordered_pair(B,C)=unordered_pair(C,B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(B,binary_relation_type)|relation_like(B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|ilf_type(B,binary_relation_type)| -relation_like(B).
% 1.86/2.08 0 [] ilf_type($c1,binary_relation_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(C,subset_type(B))|ilf_type(C,member_type(power_set(B))).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(C,subset_type(B))| -ilf_type(C,member_type(power_set(B))).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|ilf_type($f4(B),subset_type(B)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)|member(D,B)| -member(D,C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|ilf_type($f5(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|member($f5(B,C),B)|member($f5(B,C),C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C| -member($f5(B,C),B)| -member($f5(B,C),C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(B,C)| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|ilf_type($f6(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|member($f6(B,C),B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)| -member($f6(B,C),C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|subset(B,B).
% 1.86/2.08 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).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|ilf_type($f7(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|member($f7(B,C),B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))| -member($f7(B,C),C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -empty(power_set(B)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|ilf_type(power_set(B),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)| -ilf_type(B,member_type(C))|member(B,C).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)|ilf_type(B,member_type(C))| -member(B,C).
% 1.86/2.08 0 [] empty(B)| -ilf_type(B,set_type)|ilf_type($f8(B),member_type(B)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f10(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f9(B,C),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|C=ordered_pair($f10(B,C),$f9(B,C)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|relation_like(B)|ilf_type($f11(B),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|relation_like(B)|member($f11(B),B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|relation_like(B)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|$f11(B)!=ordered_pair(D,E).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -empty(B)| -ilf_type(C,set_type)| -member(C,B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|empty(B)|ilf_type($f12(B),set_type).
% 1.86/2.08 0 [] -ilf_type(B,set_type)|empty(B)|member($f12(B),B).
% 1.86/2.08 0 [] -empty(B)| -ilf_type(B,set_type)|relation_like(B).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|domain(B,C,D)=domain_of(D).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|ilf_type(domain(B,C,D),subset_type(B)).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|range(B,C,D)=range_of(D).
% 1.86/2.08 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))|ilf_type(range(B,C,D),subset_type(C)).
% 1.86/2.08 0 [] ilf_type(B,set_type).
% 1.86/2.08 0 [] ilf_type($c5,set_type).
% 1.86/2.08 0 [] ilf_type($c4,set_type).
% 1.86/2.08 0 [] ilf_type($c3,relation_type($c5,$c4)).
% 1.86/2.08 0 [] -ilf_type(E,set_type)| -member(E,$c4)|ilf_type($f13(E),set_type)|range($c5,$c4,$c3)=$c4.
% 1.86/2.08 0 [] -ilf_type(E,set_type)| -member(E,$c4)|member(ordered_pair($f13(E),E),$c3)|range($c5,$c4,$c3)=$c4.
% 1.86/2.08 0 [] ilf_type($c2,set_type)|range($c5,$c4,$c3)!=$c4.
% 1.86/2.08 0 [] member($c2,$c4)|range($c5,$c4,$c3)!=$c4.
% 1.86/2.08 0 [] -ilf_type(F,set_type)| -member(ordered_pair(F,$c2),$c3)|range($c5,$c4,$c3)!=$c4.
% 1.86/2.08 end_of_list.
% 1.86/2.08
% 1.86/2.08 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.86/2.08
% 1.86/2.08 This ia a non-Horn set with equality. The strategy will be
% 1.86/2.08 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.86/2.08 deletion, with positive clauses in sos and nonpositive
% 1.86/2.08 clauses in usable.
% 1.86/2.08
% 1.86/2.08 dependent: set(knuth_bendix).
% 1.86/2.08 dependent: set(anl_eq).
% 1.86/2.08 dependent: set(para_from).
% 1.86/2.08 dependent: set(para_into).
% 1.86/2.08 dependent: clear(para_from_right).
% 1.86/2.08 dependent: clear(para_into_right).
% 1.86/2.08 dependent: set(para_from_vars).
% 1.86/2.08 dependent: set(eq_units_both_ways).
% 1.86/2.08 dependent: set(dynamic_demod_all).
% 1.86/2.08 dependent: set(dynamic_demod).
% 1.86/2.08 dependent: set(order_eq).
% 1.86/2.08 dependent: set(back_demod).
% 1.86/2.08 dependent: set(lrpo).
% 1.86/2.08 dependent: set(hyper_res).
% 1.86/2.08 dependent: set(unit_deletion).
% 1.86/2.08 dependent: set(factor).
% 1.86/2.08
% 1.86/2.08 ------------> process usable:
% 1.86/2.09 ** KEPT (pick-wt=15): 1 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)| -member(B,range_of(A))|ilf_type($f1(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=17): 2 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)| -member(B,range_of(A))|member(ordered_pair($f1(A,B),B),A).
% 1.86/2.09 ** KEPT (pick-wt=18): 3 [] -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).
% 1.86/2.09 ** KEPT (pick-wt=7): 4 [] -ilf_type(A,binary_relation_type)|ilf_type(range_of(A),set_type).
% 1.86/2.09 ** KEPT (pick-wt=18): 5 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(ordered_pair(A,B),C)|member(A,domain_of(C)).
% 1.86/2.09 Following clause subsumed by 3 during input processing: 0 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,binary_relation_type)| -member(ordered_pair(A,B),C)|member(B,range_of(C)).
% 1.86/2.09 ** KEPT (pick-wt=14): 6 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f2(A,B),set_type)|A=B.
% 1.86/2.09 ** KEPT (pick-wt=19): 7 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member($f2(A,B),A)|member($f2(A,B),B)|A=B.
% 1.86/2.09 ** KEPT (pick-wt=19): 8 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member($f2(A,B),A)| -member($f2(A,B),B)|A=B.
% 1.86/2.09 ** KEPT (pick-wt=22): 10 [copy,9,factor_simp,factor_simp] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|C!=ordered_pair(A,B)|C=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.86/2.09 ** KEPT (pick-wt=22): 12 [copy,11,factor_simp,factor_simp] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|C=ordered_pair(A,B)|C!=unordered_pair(unordered_pair(A,B),singleton(A)).
% 1.86/2.09 ** KEPT (pick-wt=11): 13 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(ordered_pair(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=17): 14 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|ilf_type(C,relation_type(A,B)).
% 1.86/2.09 ** KEPT (pick-wt=17): 15 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(C,subset_type(cross_product(A,B))).
% 1.86/2.09 ** KEPT (pick-wt=13): 16 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f3(A,B),relation_type(B,A)).
% 1.86/2.09 ** KEPT (pick-wt=12): 17 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B|subset(A,B).
% 1.86/2.09 ** KEPT (pick-wt=12): 18 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B|subset(B,A).
% 1.86/2.09 ** KEPT (pick-wt=15): 19 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B| -subset(A,B)| -subset(B,A).
% 1.86/2.09 ** KEPT (pick-wt=7): 20 [] -ilf_type(A,binary_relation_type)|ilf_type(domain_of(A),set_type).
% 1.86/2.09 ** KEPT (pick-wt=7): 21 [] -ilf_type(A,set_type)|ilf_type(singleton(A),set_type).
% 1.86/2.09 ** KEPT (pick-wt=11): 22 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(cross_product(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=11): 23 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(unordered_pair(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=13): 24 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|unordered_pair(A,B)=unordered_pair(B,A).
% 1.86/2.09 ** KEPT (pick-wt=8): 25 [] -ilf_type(A,set_type)| -ilf_type(A,binary_relation_type)|relation_like(A).
% 1.86/2.09 ** KEPT (pick-wt=8): 26 [] -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 1.86/2.09 ** 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))).
% 1.86/2.09 ** KEPT (pick-wt=15): 28 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 1.86/2.09 ** KEPT (pick-wt=8): 29 [] -ilf_type(A,set_type)|ilf_type($f4(A),subset_type(A)).
% 1.86/2.09 ** KEPT (pick-wt=18): 30 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.86/2.09 ** KEPT (pick-wt=18): 31 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)|member(C,A)| -member(C,B).
% 1.86/2.09 ** KEPT (pick-wt=14): 32 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|ilf_type($f5(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=19): 33 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|member($f5(A,B),A)|member($f5(A,B),B).
% 1.86/2.09 ** KEPT (pick-wt=19): 34 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B| -member($f5(A,B),A)| -member($f5(A,B),B).
% 1.86/2.09 ** KEPT (pick-wt=18): 35 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.86/2.09 ** KEPT (pick-wt=14): 36 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|ilf_type($f6(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=14): 37 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|member($f6(A,B),A).
% 1.86/2.09 ** KEPT (pick-wt=14): 38 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)| -member($f6(A,B),B).
% 1.86/2.09 ** KEPT (pick-wt=6): 39 [] -ilf_type(A,set_type)|subset(A,A).
% 1.86/2.09 ** KEPT (pick-wt=19): 40 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.86/2.09 ** KEPT (pick-wt=15): 41 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|ilf_type($f7(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=15): 42 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f7(A,B),A).
% 1.86/2.09 ** KEPT (pick-wt=15): 43 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f7(A,B),B).
% 1.86/2.09 ** KEPT (pick-wt=6): 44 [] -ilf_type(A,set_type)| -empty(power_set(A)).
% 1.86/2.09 ** KEPT (pick-wt=7): 45 [] -ilf_type(A,set_type)|ilf_type(power_set(A),set_type).
% 1.86/2.09 ** KEPT (pick-wt=15): 46 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 1.86/2.09 ** KEPT (pick-wt=15): 47 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 1.86/2.09 ** KEPT (pick-wt=10): 48 [] empty(A)| -ilf_type(A,set_type)|ilf_type($f8(A),member_type(A)).
% 1.86/2.09 ** KEPT (pick-wt=16): 49 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f10(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=16): 50 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f9(A,B),set_type).
% 1.86/2.09 ** KEPT (pick-wt=20): 52 [copy,51,flip.5] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ordered_pair($f10(A,B),$f9(A,B))=B.
% 1.86/2.09 ** KEPT (pick-wt=9): 53 [] -ilf_type(A,set_type)|relation_like(A)|ilf_type($f11(A),set_type).
% 1.86/2.09 ** KEPT (pick-wt=9): 54 [] -ilf_type(A,set_type)|relation_like(A)|member($f11(A),A).
% 1.86/2.09 ** KEPT (pick-wt=17): 55 [] -ilf_type(A,set_type)|relation_like(A)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|$f11(A)!=ordered_pair(B,C).
% 1.86/2.09 ** KEPT (pick-wt=14): 56 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|relation_like(C).
% 1.86/2.09 ** KEPT (pick-wt=11): 57 [] -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 1.86/2.09 ** KEPT (pick-wt=9): 58 [] -ilf_type(A,set_type)|empty(A)|ilf_type($f12(A),set_type).
% 1.86/2.09 ** KEPT (pick-wt=9): 59 [] -ilf_type(A,set_type)|empty(A)|member($f12(A),A).
% 1.86/2.09 ** KEPT (pick-wt=7): 60 [] -empty(A)| -ilf_type(A,set_type)|relation_like(A).
% 1.86/2.09 ** KEPT (pick-wt=18): 61 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|domain(A,B,C)=domain_of(C).
% 1.86/2.09 ** KEPT (pick-wt=18): 62 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(domain(A,B,C),subset_type(A)).
% 1.86/2.09 ** KEPT (pick-wt=18): 63 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|range(A,B,C)=range_of(C).
% 1.86/2.09 ** KEPT (pick-wt=18): 64 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))|ilf_type(range(A,B,C),subset_type(B)).
% 1.86/2.09 ** KEPT (pick-wt=16): 65 [] -ilf_type(A,set_type)| -member(A,$c4)|ilf_type($f13(A),set_type)|range($c5,$c4,$c3)=$c4.
% 1.86/2.09 ** KEPT (pick-wt=18): 66 [] -ilf_type(A,set_type)| -member(A,$c4)|member(ordered_pair($f13(A),A),$c3)|range($c5,$c4,$c3)=$c4.
% 1.86/2.09 ** KEPT (pick-wt=9): 67 [] ilf_type($c2,set_type)|range($c5,$c4,$c3)!=$c4.
% 1.86/2.09 ** KEPT (pick-wt=9): 68 [] member($c2,$c4)|range($c5,$c4,$c3)!=$c4.
% 1.86/2.09 ** KEPT (pick-wt=14): 69 [] -ilf_type(A,set_type)| -member(ordered_pair(A,$c2),$c3)|range($c5,$c4,$c3)!=$c4.
% 1.86/2.09
% 1.86/2.09 ------------> process sos:
% 1.86/2.09 ** KEPT (pick-wt=3): 123 [] A=A.
% 1.86/2.09 ** KEPT (pick-wt=3): 124 [] ilf_type($c1,binary_relation_type).
% 1.86/2.09 ** KEPT (pick-wt=3): 125 [] ilf_type(A,set_type).
% 1.86/2.09 Following clause subsumed by 125 during input processing: 0 [] ilf_type($c5,set_type).
% 20.67/20.86 Following clause subsumed by 125 during input processing: 0 [] ilf_type($c4,set_type).
% 20.67/20.86 ** KEPT (pick-wt=5): 126 [] ilf_type($c3,relation_type($c5,$c4)).
% 20.67/20.86 Following clause subsumed by 123 during input processing: 0 [copy,123,flip.1] A=A.
% 20.67/20.86 123 back subsumes 97.
% 20.67/20.86 123 back subsumes 96.
% 20.67/20.86 123 back subsumes 95.
% 20.67/20.86 123 back subsumes 88.
% 20.67/20.86 123 back subsumes 85.
% 20.67/20.86 123 back subsumes 74.
% 20.67/20.86 123 back subsumes 73.
% 20.67/20.86 123 back subsumes 72.
% 20.67/20.86 125 back subsumes 109.
% 20.67/20.86 125 back subsumes 108.
% 20.67/20.86 125 back subsumes 103.
% 20.67/20.86 125 back subsumes 87.
% 20.67/20.86 125 back subsumes 86.
% 20.67/20.86 125 back subsumes 81.
% 20.67/20.86 125 back subsumes 67.
% 20.67/20.86 125 back subsumes 65.
% 20.67/20.86 125 back subsumes 58.
% 20.67/20.86 125 back subsumes 53.
% 20.67/20.86 125 back subsumes 50.
% 20.67/20.86 125 back subsumes 49.
% 20.67/20.86 125 back subsumes 45.
% 20.67/20.86 125 back subsumes 41.
% 20.67/20.86 125 back subsumes 36.
% 20.67/20.86 125 back subsumes 32.
% 20.67/20.86 125 back subsumes 23.
% 20.67/20.86 125 back subsumes 22.
% 20.67/20.86 125 back subsumes 21.
% 20.67/20.86 125 back subsumes 20.
% 20.67/20.86 125 back subsumes 13.
% 20.67/20.86 125 back subsumes 6.
% 20.67/20.86 125 back subsumes 4.
% 20.67/20.86 125 back subsumes 1.
% 20.67/20.86
% 20.67/20.86 ======= end of input processing =======
% 20.67/20.86
% 20.67/20.86 =========== start of search ===========
% 20.67/20.86
% 20.67/20.86
% 20.67/20.86 Resetting weight limit to 10.
% 20.67/20.86
% 20.67/20.86
% 20.67/20.86 Resetting weight limit to 10.
% 20.67/20.86
% 20.67/20.86 sos_size=403
% 20.67/20.86
% 20.67/20.86 Search stopped because sos empty.
% 20.67/20.86
% 20.67/20.86
% 20.67/20.86 Search stopped because sos empty.
% 20.67/20.86
% 20.67/20.86 ============ end of search ============
% 20.67/20.86
% 20.67/20.86 -------------- statistics -------------
% 20.67/20.86 clauses given 535
% 20.67/20.86 clauses generated 860839
% 20.67/20.86 clauses kept 723
% 20.67/20.86 clauses forward subsumed 1617
% 20.67/20.86 clauses back subsumed 124
% 20.67/20.86 Kbytes malloced 6835
% 20.67/20.86
% 20.67/20.86 ----------- times (seconds) -----------
% 20.67/20.86 user CPU time 18.78 (0 hr, 0 min, 18 sec)
% 20.67/20.86 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 20.67/20.86 wall-clock time 21 (0 hr, 0 min, 21 sec)
% 20.67/20.86
% 20.67/20.86 Process 15743 finished Wed Jul 27 10:44:50 2022
% 20.67/20.86 Otter interrupted
% 20.67/20.86 PROOF NOT FOUND
%------------------------------------------------------------------------------