TSTP Solution File: SET646+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:13:58 EDT 2022
% Result : Unknown 6.29s 6.46s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET646+3 : TPTP v8.1.0. Released v2.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n020.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 10:50:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.14/2.29 ----- Otter 3.3f, August 2004 -----
% 2.14/2.29 The process was started by sandbox2 on n020.cluster.edu,
% 2.14/2.29 Wed Jul 27 10:50:23 2022
% 2.14/2.29 The command was "./otter". The process ID is 28642.
% 2.14/2.29
% 2.14/2.29 set(prolog_style_variables).
% 2.14/2.29 set(auto).
% 2.14/2.29 dependent: set(auto1).
% 2.14/2.29 dependent: set(process_input).
% 2.14/2.29 dependent: clear(print_kept).
% 2.14/2.29 dependent: clear(print_new_demod).
% 2.14/2.29 dependent: clear(print_back_demod).
% 2.14/2.29 dependent: clear(print_back_sub).
% 2.14/2.29 dependent: set(control_memory).
% 2.14/2.29 dependent: assign(max_mem, 12000).
% 2.14/2.29 dependent: assign(pick_given_ratio, 4).
% 2.14/2.29 dependent: assign(stats_level, 1).
% 2.14/2.29 dependent: assign(max_seconds, 10800).
% 2.14/2.29 clear(print_given).
% 2.14/2.29
% 2.14/2.29 formula_list(usable).
% 2.14/2.29 all A (A=A).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (subset(singleton(B),C)<->member(B,C))))).
% 2.14/2.29 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)-> (member(ordered_pair(B,C),cross_product(D,E))<->member(B,D)&member(C,E))))))))).
% 2.14/2.29 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)))))))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (exists D ilf_type(D,relation_type(C,B)))))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,set_type)-> (D=singleton(C)<-> (all E (ilf_type(E,set_type)-> (member(E,D)<->E=C))))))))).
% 2.14/2.29 all B (ilf_type(B,set_type)->ilf_type(singleton(B),set_type)).
% 2.14/2.29 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)))))))))))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(ordered_pair(B,C),set_type)))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(cross_product(B,C),set_type)))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(unordered_pair(B,C),set_type)))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->unordered_pair(B,C)=unordered_pair(C,B)))).
% 2.14/2.29 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))))))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (exists C ilf_type(C,subset_type(B)))).
% 2.14/2.29 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)))))))).
% 2.14/2.29 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)))))))).
% 2.14/2.29 all B (ilf_type(B,set_type)->subset(B,B)).
% 2.14/2.29 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)))))))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> -empty(power_set(B))&ilf_type(power_set(B),set_type)).
% 2.14/2.29 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))))).
% 2.14/2.29 all B (-empty(B)&ilf_type(B,set_type)-> (exists C ilf_type(C,member_type(B)))).
% 2.14/2.29 all B (ilf_type(B,set_type)-> (empty(B)<-> (all C (ilf_type(C,set_type)-> -member(C,B))))).
% 2.14/2.29 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)))))))))).
% 2.14/2.29 all B (empty(B)&ilf_type(B,set_type)->relation_like(B)).
% 2.14/2.29 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)))))).
% 2.14/2.29 all B ilf_type(B,set_type).
% 2.14/2.29 -(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)-> (member(D,B)&member(E,C)->ilf_type(singleton(ordered_pair(D,E)),relation_type(B,C))))))))))).
% 2.14/2.29 end_of_list.
% 2.14/2.29
% 2.14/2.29 -------> usable clausifies to:
% 2.14/2.29
% 2.14/2.29 list(usable).
% 2.14/2.29 0 [] A=A.
% 2.14/2.29 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -subset(singleton(B),C)|member(B,C).
% 2.14/2.29 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(singleton(B),C)| -member(B,C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -member(ordered_pair(B,C),cross_product(D,E))|member(B,D).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -member(ordered_pair(B,C),cross_product(D,E))|member(C,E).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|member(ordered_pair(B,C),cross_product(D,E))| -member(B,D)| -member(C,E).
% 2.14/2.30 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)).
% 2.14/2.30 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))).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f1(B,C),relation_type(C,B)).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|D!=singleton(C)| -ilf_type(E,set_type)| -member(E,D)|E=C.
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|D!=singleton(C)| -ilf_type(E,set_type)|member(E,D)|E!=C.
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|D=singleton(C)|ilf_type($f2(B,C,D),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|D=singleton(C)|member($f2(B,C,D),D)|$f2(B,C,D)=C.
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|D=singleton(C)| -member($f2(B,C,D),D)|$f2(B,C,D)!=C.
% 2.14/2.30 0 [] -ilf_type(B,set_type)|ilf_type(singleton(B),set_type).
% 2.14/2.30 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)).
% 2.14/2.30 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)).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(ordered_pair(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(cross_product(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(unordered_pair(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|unordered_pair(B,C)=unordered_pair(C,B).
% 2.14/2.30 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))).
% 2.14/2.30 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))).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|ilf_type($f3(B),subset_type(B)).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B!=C| -ilf_type(D,set_type)|member(D,B)| -member(D,C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|ilf_type($f4(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C|member($f4(B,C),B)|member($f4(B,C),C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|B=C| -member($f4(B,C),B)| -member($f4(B,C),C).
% 2.14/2.30 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).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|ilf_type($f5(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)|member($f5(B,C),B).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|subset(B,C)| -member($f5(B,C),C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|subset(B,B).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -member(B,power_set(C))| -ilf_type(D,set_type)| -member(D,B)|member(D,C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|ilf_type($f6(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|member($f6(B,C),B).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))| -member($f6(B,C),C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -empty(power_set(B)).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|ilf_type(power_set(B),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)| -ilf_type(B,member_type(C))|member(B,C).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)|ilf_type(B,member_type(C))| -member(B,C).
% 2.14/2.30 0 [] empty(B)| -ilf_type(B,set_type)|ilf_type($f7(B),member_type(B)).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -empty(B)| -ilf_type(C,set_type)| -member(C,B).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|empty(B)|ilf_type($f8(B),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|empty(B)|member($f8(B),B).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f10(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f9(B,C),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|C=ordered_pair($f10(B,C),$f9(B,C)).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|relation_like(B)|ilf_type($f11(B),set_type).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|relation_like(B)|member($f11(B),B).
% 2.14/2.30 0 [] -ilf_type(B,set_type)|relation_like(B)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|$f11(B)!=ordered_pair(D,E).
% 2.14/2.30 0 [] -empty(B)| -ilf_type(B,set_type)|relation_like(B).
% 2.14/2.30 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D).
% 2.14/2.30 0 [] ilf_type(B,set_type).
% 2.14/2.30 0 [] ilf_type($c4,set_type).
% 2.14/2.30 0 [] ilf_type($c3,set_type).
% 2.14/2.30 0 [] ilf_type($c2,set_type).
% 2.14/2.30 0 [] ilf_type($c1,set_type).
% 2.14/2.30 0 [] member($c2,$c4).
% 2.14/2.30 0 [] member($c1,$c3).
% 2.14/2.30 0 [] -ilf_type(singleton(ordered_pair($c2,$c1)),relation_type($c4,$c3)).
% 2.14/2.30 end_of_list.
% 2.14/2.30
% 2.14/2.30 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 2.14/2.30
% 2.14/2.30 This ia a non-Horn set with equality. The strategy will be
% 2.14/2.30 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.14/2.30 deletion, with positive clauses in sos and nonpositive
% 2.14/2.30 clauses in usable.
% 2.14/2.30
% 2.14/2.30 dependent: set(knuth_bendix).
% 2.14/2.30 dependent: set(anl_eq).
% 2.14/2.30 dependent: set(para_from).
% 2.14/2.30 dependent: set(para_into).
% 2.14/2.30 dependent: clear(para_from_right).
% 2.14/2.30 dependent: clear(para_into_right).
% 2.14/2.30 dependent: set(para_from_vars).
% 2.14/2.30 dependent: set(eq_units_both_ways).
% 2.14/2.30 dependent: set(dynamic_demod_all).
% 2.14/2.30 dependent: set(dynamic_demod).
% 2.14/2.30 dependent: set(order_eq).
% 2.14/2.30 dependent: set(back_demod).
% 2.14/2.30 dependent: set(lrpo).
% 2.14/2.30 dependent: set(hyper_res).
% 2.14/2.30 dependent: set(unit_deletion).
% 2.14/2.30 dependent: set(factor).
% 2.14/2.30
% 2.14/2.30 ------------> process usable:
% 2.14/2.30 ** KEPT (pick-wt=13): 1 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(singleton(A),B)|member(A,B).
% 2.14/2.30 ** KEPT (pick-wt=13): 2 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(singleton(A),B)| -member(A,B).
% 2.14/2.30 ** KEPT (pick-wt=22): 3 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -member(ordered_pair(A,B),cross_product(C,D))|member(A,C).
% 2.14/2.30 ** KEPT (pick-wt=22): 4 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -member(ordered_pair(A,B),cross_product(C,D))|member(B,D).
% 2.14/2.30 ** KEPT (pick-wt=25): 5 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)|member(ordered_pair(A,B),cross_product(C,D))| -member(A,C)| -member(B,D).
% 2.14/2.30 ** KEPT (pick-wt=17): 6 [] -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)).
% 2.14/2.30 ** KEPT (pick-wt=17): 7 [] -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))).
% 2.14/2.30 ** KEPT (pick-wt=13): 8 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f1(A,B),relation_type(B,A)).
% 2.14/2.30 ** KEPT (pick-wt=19): 10 [copy,9,factor_simp] -ilf_type(A,set_type)| -ilf_type(B,set_type)|B!=singleton(A)| -ilf_type(C,set_type)| -member(C,B)|C=A.
% 2.14/2.30 ** KEPT (pick-wt=19): 12 [copy,11,factor_simp] -ilf_type(A,set_type)| -ilf_type(B,set_type)|B!=singleton(A)| -ilf_type(C,set_type)|member(C,B)|C!=A.
% 2.14/2.30 ** KEPT (pick-wt=19): 13 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|C=singleton(B)|ilf_type($f2(A,B,C),set_type).
% 2.14/2.30 ** KEPT (pick-wt=25): 14 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|C=singleton(B)|member($f2(A,B,C),C)|$f2(A,B,C)=B.
% 2.14/2.30 ** KEPT (pick-wt=25): 15 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|C=singleton(B)| -member($f2(A,B,C),C)|$f2(A,B,C)!=B.
% 2.14/2.34 ** KEPT (pick-wt=7): 16 [] -ilf_type(A,set_type)|ilf_type(singleton(A),set_type).
% 2.14/2.34 ** KEPT (pick-wt=22): 18 [copy,17,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)).
% 2.14/2.34 ** KEPT (pick-wt=22): 20 [copy,19,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)).
% 2.14/2.34 ** KEPT (pick-wt=11): 21 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(ordered_pair(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=11): 22 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(cross_product(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=11): 23 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(unordered_pair(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=13): 24 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|unordered_pair(A,B)=unordered_pair(B,A).
% 2.14/2.34 ** 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))).
% 2.14/2.34 ** 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))).
% 2.14/2.34 ** KEPT (pick-wt=8): 27 [] -ilf_type(A,set_type)|ilf_type($f3(A),subset_type(A)).
% 2.14/2.34 ** KEPT (pick-wt=18): 28 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.14/2.34 ** KEPT (pick-wt=18): 29 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A!=B| -ilf_type(C,set_type)|member(C,A)| -member(C,B).
% 2.14/2.34 ** KEPT (pick-wt=14): 30 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|ilf_type($f4(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=19): 31 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B|member($f4(A,B),A)|member($f4(A,B),B).
% 2.14/2.34 ** KEPT (pick-wt=19): 32 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|A=B| -member($f4(A,B),A)| -member($f4(A,B),B).
% 2.14/2.34 ** KEPT (pick-wt=18): 33 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -subset(A,B)| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.14/2.34 ** KEPT (pick-wt=14): 34 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|ilf_type($f5(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=14): 35 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)|member($f5(A,B),A).
% 2.14/2.34 ** KEPT (pick-wt=14): 36 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|subset(A,B)| -member($f5(A,B),B).
% 2.14/2.34 ** KEPT (pick-wt=6): 37 [] -ilf_type(A,set_type)|subset(A,A).
% 2.14/2.34 ** KEPT (pick-wt=19): 38 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 2.14/2.34 ** KEPT (pick-wt=15): 39 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|ilf_type($f6(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=15): 40 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f6(A,B),A).
% 2.14/2.34 ** KEPT (pick-wt=15): 41 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f6(A,B),B).
% 2.14/2.34 ** KEPT (pick-wt=6): 42 [] -ilf_type(A,set_type)| -empty(power_set(A)).
% 2.14/2.34 ** KEPT (pick-wt=7): 43 [] -ilf_type(A,set_type)|ilf_type(power_set(A),set_type).
% 2.14/2.34 ** KEPT (pick-wt=15): 44 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 2.14/2.34 ** KEPT (pick-wt=15): 45 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)|ilf_type(A,member_type(B))| -member(A,B).
% 2.14/2.34 ** KEPT (pick-wt=10): 46 [] empty(A)| -ilf_type(A,set_type)|ilf_type($f7(A),member_type(A)).
% 2.14/2.34 ** KEPT (pick-wt=11): 47 [] -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 2.14/2.34 ** KEPT (pick-wt=9): 48 [] -ilf_type(A,set_type)|empty(A)|ilf_type($f8(A),set_type).
% 2.14/2.34 ** KEPT (pick-wt=9): 49 [] -ilf_type(A,set_type)|empty(A)|member($f8(A),A).
% 2.14/2.34 ** KEPT (pick-wt=16): 50 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f10(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=16): 51 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f9(A,B),set_type).
% 2.14/2.34 ** KEPT (pick-wt=20): 53 [copy,52,flip.5] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ordered_pair($f10(A,B),$f9(A,B))=B.
% 6.29/6.46 ** KEPT (pick-wt=9): 54 [] -ilf_type(A,set_type)|relation_like(A)|ilf_type($f11(A),set_type).
% 6.29/6.46 ** KEPT (pick-wt=9): 55 [] -ilf_type(A,set_type)|relation_like(A)|member($f11(A),A).
% 6.29/6.46 ** KEPT (pick-wt=17): 56 [] -ilf_type(A,set_type)|relation_like(A)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|$f11(A)!=ordered_pair(B,C).
% 6.29/6.46 ** KEPT (pick-wt=7): 57 [] -empty(A)| -ilf_type(A,set_type)|relation_like(A).
% 6.29/6.46 ** KEPT (pick-wt=14): 58 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|relation_like(C).
% 6.29/6.46 ** KEPT (pick-wt=8): 59 [] -ilf_type(singleton(ordered_pair($c2,$c1)),relation_type($c4,$c3)).
% 6.29/6.46
% 6.29/6.46 ------------> process sos:
% 6.29/6.46 ** KEPT (pick-wt=3): 166 [] A=A.
% 6.29/6.46 ** KEPT (pick-wt=3): 167 [] ilf_type(A,set_type).
% 6.29/6.46 Following clause subsumed by 167 during input processing: 0 [] ilf_type($c4,set_type).
% 6.29/6.46 Following clause subsumed by 167 during input processing: 0 [] ilf_type($c3,set_type).
% 6.29/6.46 Following clause subsumed by 167 during input processing: 0 [] ilf_type($c2,set_type).
% 6.29/6.46 Following clause subsumed by 167 during input processing: 0 [] ilf_type($c1,set_type).
% 6.29/6.46 ** KEPT (pick-wt=3): 168 [] member($c2,$c4).
% 6.29/6.46 ** KEPT (pick-wt=3): 169 [] member($c1,$c3).
% 6.29/6.46 Following clause subsumed by 166 during input processing: 0 [copy,166,flip.1] A=A.
% 6.29/6.46 166 back subsumes 156.
% 6.29/6.46 166 back subsumes 117.
% 6.29/6.46 166 back subsumes 116.
% 6.29/6.46 166 back subsumes 115.
% 6.29/6.46 166 back subsumes 108.
% 6.29/6.46 166 back subsumes 85.
% 6.29/6.46 167 back subsumes 159.
% 6.29/6.46 167 back subsumes 130.
% 6.29/6.46 167 back subsumes 129.
% 6.29/6.46 167 back subsumes 123.
% 6.29/6.46 167 back subsumes 107.
% 6.29/6.46 167 back subsumes 106.
% 6.29/6.46 167 back subsumes 105.
% 6.29/6.46 167 back subsumes 92.
% 6.29/6.46 167 back subsumes 91.
% 6.29/6.46 167 back subsumes 90.
% 6.29/6.46 167 back subsumes 54.
% 6.29/6.46 167 back subsumes 51.
% 6.29/6.46 167 back subsumes 50.
% 6.29/6.46 167 back subsumes 48.
% 6.29/6.46 167 back subsumes 43.
% 6.29/6.46 167 back subsumes 39.
% 6.29/6.46 167 back subsumes 34.
% 6.29/6.46 167 back subsumes 30.
% 6.29/6.46 167 back subsumes 23.
% 6.29/6.46 167 back subsumes 22.
% 6.29/6.46 167 back subsumes 21.
% 6.29/6.46 167 back subsumes 16.
% 6.29/6.46 167 back subsumes 13.
% 6.29/6.46
% 6.29/6.46 ======= end of input processing =======
% 6.29/6.46
% 6.29/6.46 =========== start of search ===========
% 6.29/6.46
% 6.29/6.46
% 6.29/6.46 Resetting weight limit to 8.
% 6.29/6.46
% 6.29/6.46
% 6.29/6.46 Resetting weight limit to 8.
% 6.29/6.46
% 6.29/6.46 sos_size=407
% 6.29/6.46
% 6.29/6.46 Search stopped because sos empty.
% 6.29/6.46
% 6.29/6.46
% 6.29/6.46 Search stopped because sos empty.
% 6.29/6.46
% 6.29/6.46 ============ end of search ============
% 6.29/6.46
% 6.29/6.46 -------------- statistics -------------
% 6.29/6.46 clauses given 495
% 6.29/6.46 clauses generated 315129
% 6.29/6.46 clauses kept 1026
% 6.29/6.46 clauses forward subsumed 1283
% 6.29/6.46 clauses back subsumed 419
% 6.29/6.46 Kbytes malloced 6835
% 6.29/6.46
% 6.29/6.46 ----------- times (seconds) -----------
% 6.29/6.46 user CPU time 4.17 (0 hr, 0 min, 4 sec)
% 6.29/6.46 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 6.29/6.46 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 6.29/6.46
% 6.29/6.46 Process 28642 finished Wed Jul 27 10:50:29 2022
% 6.29/6.46 Otter interrupted
% 6.29/6.46 PROOF NOT FOUND
%------------------------------------------------------------------------------