TSTP Solution File: SET670+3 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SET670+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:14:02 EDT 2022
% Result : Unknown 5.52s 5.70s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET670+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n008.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 10:39:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.86/2.06 ----- Otter 3.3f, August 2004 -----
% 1.86/2.06 The process was started by sandbox2 on n008.cluster.edu,
% 1.86/2.06 Wed Jul 27 10:39:53 2022
% 1.86/2.06 The command was "./otter". The process ID is 16881.
% 1.86/2.06
% 1.86/2.06 set(prolog_style_variables).
% 1.86/2.06 set(auto).
% 1.86/2.06 dependent: set(auto1).
% 1.86/2.06 dependent: set(process_input).
% 1.86/2.06 dependent: clear(print_kept).
% 1.86/2.06 dependent: clear(print_new_demod).
% 1.86/2.06 dependent: clear(print_back_demod).
% 1.86/2.06 dependent: clear(print_back_sub).
% 1.86/2.06 dependent: set(control_memory).
% 1.86/2.06 dependent: assign(max_mem, 12000).
% 1.86/2.06 dependent: assign(pick_given_ratio, 4).
% 1.86/2.06 dependent: assign(stats_level, 1).
% 1.86/2.06 dependent: assign(max_seconds, 10800).
% 1.86/2.06 clear(print_given).
% 1.86/2.06
% 1.86/2.06 formula_list(usable).
% 1.86/2.06 all A (A=A).
% 1.86/2.06 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,binary_relation_type)-> (subset(B,C)<-> (all D (ilf_type(D,set_type)-> (all E (ilf_type(E,set_type)-> (member(ordered_pair(D,E),B)->member(ordered_pair(D,E),C)))))))))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->relation_like(cross_product(B,C))))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,set_type)-> (all E (ilf_type(E,binary_relation_type)-> (member(ordered_pair(C,D),restrict(E,B))<->member(C,B)&member(ordered_pair(C,D),E))))))))).
% 1.86/2.06 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))))))))).
% 1.86/2.06 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)))))))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (exists D ilf_type(D,relation_type(C,B)))))).
% 1.86/2.06 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))))))))))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(cross_product(B,C),set_type)))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)->ilf_type(ordered_pair(B,C),set_type)))).
% 1.86/2.06 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,set_type)->ilf_type(restrict(B,C),binary_relation_type)))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (ilf_type(B,binary_relation_type)<->relation_like(B)&ilf_type(B,set_type))).
% 1.86/2.06 exists B ilf_type(B,binary_relation_type).
% 1.86/2.06 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))))))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (exists C ilf_type(C,subset_type(B)))).
% 1.86/2.06 all B (ilf_type(B,binary_relation_type)-> (all C (ilf_type(C,binary_relation_type)-> (B=C->C=B)))).
% 1.86/2.06 all B (ilf_type(B,binary_relation_type)->B=B).
% 1.86/2.06 all B (ilf_type(B,binary_relation_type)->subset(B,B)).
% 1.86/2.06 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)))))))))).
% 1.86/2.06 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)))))).
% 1.86/2.06 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)))))))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> -empty(power_set(B))&ilf_type(power_set(B),set_type)).
% 1.86/2.06 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))))).
% 1.86/2.06 all B (-empty(B)&ilf_type(B,set_type)-> (exists C ilf_type(C,member_type(B)))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (empty(B)<-> (all C (ilf_type(C,set_type)-> -member(C,B))))).
% 1.86/2.06 all B (empty(B)&ilf_type(B,set_type)->relation_like(B)).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))-> (all E (ilf_type(E,set_type)->restrict4(B,C,D,E)=restrict(D,E)))))))).
% 1.86/2.06 all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,relation_type(B,C))-> (all E (ilf_type(E,set_type)->ilf_type(restrict4(B,C,D,E),relation_type(B,C))))))))).
% 1.86/2.06 all B ilf_type(B,set_type).
% 1.86/2.06 -(all B (ilf_type(B,set_type)-> (all C (ilf_type(C,set_type)-> (all D (ilf_type(D,set_type)-> (all E (ilf_type(E,relation_type(B,D))->ilf_type(restrict4(B,D,E,C),relation_type(C,D)))))))))).
% 1.86/2.06 end_of_list.
% 1.86/2.06
% 1.86/2.06 -------> usable clausifies to:
% 1.86/2.06
% 1.86/2.06 list(usable).
% 1.86/2.06 0 [] A=A.
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)| -subset(B,C)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -member(ordered_pair(D,E),B)|member(ordered_pair(D,E),C).
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|subset(B,C)|ilf_type($f2(B,C),set_type).
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|subset(B,C)|ilf_type($f1(B,C),set_type).
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|subset(B,C)|member(ordered_pair($f2(B,C),$f1(B,C)),B).
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|subset(B,C)| -member(ordered_pair($f2(B,C),$f1(B,C)),C).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|relation_like(cross_product(B,C)).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,binary_relation_type)| -member(ordered_pair(C,D),restrict(E,B))|member(C,B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,binary_relation_type)| -member(ordered_pair(C,D),restrict(E,B))|member(ordered_pair(C,D),E).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,binary_relation_type)|member(ordered_pair(C,D),restrict(E,B))| -member(C,B)| -member(ordered_pair(C,D),E).
% 1.86/2.06 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).
% 1.86/2.06 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).
% 1.86/2.06 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).
% 1.86/2.06 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)).
% 1.86/2.06 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))).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type($f3(B,C),relation_type(C,B)).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,relation_type(B,C))| -member(ordered_pair(D,E),F)|member(D,B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,set_type)| -ilf_type(F,relation_type(B,C))| -member(ordered_pair(D,E),F)|member(E,C).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(cross_product(B,C),set_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|ilf_type(ordered_pair(B,C),set_type).
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,set_type)|ilf_type(restrict(B,C),binary_relation_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(B,binary_relation_type)|relation_like(B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|ilf_type(B,binary_relation_type)| -relation_like(B).
% 1.86/2.06 0 [] ilf_type($c1,binary_relation_type).
% 1.86/2.06 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))).
% 1.86/2.06 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))).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|ilf_type($f4(B),subset_type(B)).
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)| -ilf_type(C,binary_relation_type)|B!=C|C=B.
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)|B=B.
% 1.86/2.06 0 [] -ilf_type(B,binary_relation_type)|subset(B,B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f6(B,C),set_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|ilf_type($f5(B,C),set_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -relation_like(B)| -ilf_type(C,set_type)| -member(C,B)|C=ordered_pair($f6(B,C),$f5(B,C)).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|relation_like(B)|ilf_type($f7(B),set_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|relation_like(B)|member($f7(B),B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|relation_like(B)| -ilf_type(D,set_type)| -ilf_type(E,set_type)|$f7(B)!=ordered_pair(D,E).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,subset_type(cross_product(B,C)))|relation_like(D).
% 1.86/2.06 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).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|ilf_type($f8(B,C),set_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))|member($f8(B,C),B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)|member(B,power_set(C))| -member($f8(B,C),C).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -empty(power_set(B)).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|ilf_type(power_set(B),set_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)| -ilf_type(B,member_type(C))|member(B,C).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|empty(C)| -ilf_type(C,set_type)|ilf_type(B,member_type(C))| -member(B,C).
% 1.86/2.06 0 [] empty(B)| -ilf_type(B,set_type)|ilf_type($f9(B),member_type(B)).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -empty(B)| -ilf_type(C,set_type)| -member(C,B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|empty(B)|ilf_type($f10(B),set_type).
% 1.86/2.06 0 [] -ilf_type(B,set_type)|empty(B)|member($f10(B),B).
% 1.86/2.06 0 [] -empty(B)| -ilf_type(B,set_type)|relation_like(B).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|restrict4(B,C,D,E)=restrict(D,E).
% 1.86/2.06 0 [] -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,relation_type(B,C))| -ilf_type(E,set_type)|ilf_type(restrict4(B,C,D,E),relation_type(B,C)).
% 1.86/2.06 0 [] ilf_type(B,set_type).
% 1.86/2.06 0 [] ilf_type($c5,set_type).
% 1.86/2.06 0 [] ilf_type($c4,set_type).
% 1.86/2.06 0 [] ilf_type($c3,set_type).
% 1.86/2.06 0 [] ilf_type($c2,relation_type($c5,$c3)).
% 1.86/2.06 0 [] -ilf_type(restrict4($c5,$c3,$c2,$c4),relation_type($c4,$c3)).
% 1.86/2.06 end_of_list.
% 1.86/2.06
% 1.86/2.06 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=7.
% 1.86/2.06
% 1.86/2.06 This ia a non-Horn set with equality. The strategy will be
% 1.86/2.06 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.86/2.06 deletion, with positive clauses in sos and nonpositive
% 1.86/2.06 clauses in usable.
% 1.86/2.06
% 1.86/2.06 dependent: set(knuth_bendix).
% 1.86/2.06 dependent: set(anl_eq).
% 1.86/2.06 dependent: set(para_from).
% 1.86/2.06 dependent: set(para_into).
% 1.86/2.06 dependent: clear(para_from_right).
% 1.86/2.06 dependent: clear(para_into_right).
% 1.86/2.06 dependent: set(para_from_vars).
% 1.86/2.06 dependent: set(eq_units_both_ways).
% 1.86/2.06 dependent: set(dynamic_demod_all).
% 1.86/2.06 dependent: set(dynamic_demod).
% 1.86/2.06 dependent: set(order_eq).
% 1.86/2.06 dependent: set(back_demod).
% 1.86/2.06 dependent: set(lrpo).
% 1.86/2.06 dependent: set(hyper_res).
% 1.86/2.06 dependent: set(unit_deletion).
% 1.86/2.06 dependent: set(factor).
% 1.86/2.06
% 1.86/2.06 ------------> process usable:
% 1.86/2.06 ** KEPT (pick-wt=25): 1 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)| -subset(A,B)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -member(ordered_pair(C,D),A)|member(ordered_pair(C,D),B).
% 1.86/2.06 ** KEPT (pick-wt=14): 2 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|subset(A,B)|ilf_type($f2(A,B),set_type).
% 1.86/2.06 ** KEPT (pick-wt=14): 3 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|subset(A,B)|ilf_type($f1(A,B),set_type).
% 1.86/2.06 ** KEPT (pick-wt=18): 4 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|subset(A,B)|member(ordered_pair($f2(A,B),$f1(A,B)),A).
% 1.86/2.06 ** KEPT (pick-wt=18): 5 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|subset(A,B)| -member(ordered_pair($f2(A,B),$f1(A,B)),B).
% 1.86/2.06 ** KEPT (pick-wt=10): 6 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|relation_like(cross_product(A,B)).
% 1.86/2.06 ** KEPT (pick-wt=22): 7 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),restrict(D,A))|member(B,A).
% 1.86/2.06 ** KEPT (pick-wt=24): 8 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)| -member(ordered_pair(B,C),restrict(D,A))|member(ordered_pair(B,C),D).
% 1.86/2.06 ** KEPT (pick-wt=27): 9 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,binary_relation_type)|member(ordered_pair(B,C),restrict(D,A))| -member(B,A)| -member(ordered_pair(B,C),D).
% 1.91/2.12 ** KEPT (pick-wt=22): 10 [] -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).
% 1.91/2.12 ** KEPT (pick-wt=22): 11 [] -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).
% 1.91/2.12 ** KEPT (pick-wt=25): 12 [] -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).
% 1.91/2.12 ** KEPT (pick-wt=17): 13 [] -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)).
% 1.91/2.12 ** KEPT (pick-wt=17): 14 [] -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))).
% 1.91/2.12 ** KEPT (pick-wt=13): 15 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type($f3(A,B),relation_type(B,A)).
% 1.91/2.12 ** KEPT (pick-wt=25): 16 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,relation_type(A,B))| -member(ordered_pair(C,D),E)|member(C,A).
% 1.91/2.12 ** KEPT (pick-wt=25): 17 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,set_type)| -ilf_type(D,set_type)| -ilf_type(E,relation_type(A,B))| -member(ordered_pair(C,D),E)|member(D,B).
% 1.91/2.12 ** KEPT (pick-wt=11): 18 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(cross_product(A,B),set_type).
% 1.91/2.12 ** KEPT (pick-wt=11): 19 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(ordered_pair(A,B),set_type).
% 1.91/2.12 ** KEPT (pick-wt=11): 20 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,set_type)|ilf_type(restrict(A,B),binary_relation_type).
% 1.91/2.12 ** KEPT (pick-wt=8): 21 [] -ilf_type(A,set_type)| -ilf_type(A,binary_relation_type)|relation_like(A).
% 1.91/2.12 ** KEPT (pick-wt=8): 22 [] -ilf_type(A,set_type)|ilf_type(A,binary_relation_type)| -relation_like(A).
% 1.91/2.12 ** KEPT (pick-wt=15): 23 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(B,subset_type(A))|ilf_type(B,member_type(power_set(A))).
% 1.91/2.12 ** KEPT (pick-wt=15): 24 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|ilf_type(B,subset_type(A))| -ilf_type(B,member_type(power_set(A))).
% 1.91/2.12 ** KEPT (pick-wt=8): 25 [] -ilf_type(A,set_type)|ilf_type($f4(A),subset_type(A)).
% 1.91/2.12 ** KEPT (pick-wt=12): 26 [] -ilf_type(A,binary_relation_type)| -ilf_type(B,binary_relation_type)|A!=B|B=A.
% 1.91/2.12 ** KEPT (pick-wt=6): 27 [] -ilf_type(A,binary_relation_type)|A=A.
% 1.91/2.12 ** KEPT (pick-wt=6): 28 [] -ilf_type(A,binary_relation_type)|subset(A,A).
% 1.91/2.12 ** KEPT (pick-wt=16): 29 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f6(A,B),set_type).
% 1.91/2.12 ** KEPT (pick-wt=16): 30 [] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ilf_type($f5(A,B),set_type).
% 1.91/2.12 ** KEPT (pick-wt=20): 32 [copy,31,flip.5] -ilf_type(A,set_type)| -relation_like(A)| -ilf_type(B,set_type)| -member(B,A)|ordered_pair($f6(A,B),$f5(A,B))=B.
% 1.91/2.12 ** KEPT (pick-wt=9): 33 [] -ilf_type(A,set_type)|relation_like(A)|ilf_type($f7(A),set_type).
% 1.91/2.12 ** KEPT (pick-wt=9): 34 [] -ilf_type(A,set_type)|relation_like(A)|member($f7(A),A).
% 1.91/2.12 ** KEPT (pick-wt=17): 35 [] -ilf_type(A,set_type)|relation_like(A)| -ilf_type(B,set_type)| -ilf_type(C,set_type)|$f7(A)!=ordered_pair(B,C).
% 1.91/2.12 ** KEPT (pick-wt=14): 36 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,subset_type(cross_product(A,B)))|relation_like(C).
% 1.91/2.12 ** KEPT (pick-wt=19): 37 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -member(A,power_set(B))| -ilf_type(C,set_type)| -member(C,A)|member(C,B).
% 1.91/2.12 ** KEPT (pick-wt=15): 38 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|ilf_type($f8(A,B),set_type).
% 1.91/2.12 ** KEPT (pick-wt=15): 39 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))|member($f8(A,B),A).
% 1.91/2.12 ** KEPT (pick-wt=15): 40 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)|member(A,power_set(B))| -member($f8(A,B),B).
% 5.52/5.70 ** KEPT (pick-wt=6): 41 [] -ilf_type(A,set_type)| -empty(power_set(A)).
% 5.52/5.70 ** KEPT (pick-wt=7): 42 [] -ilf_type(A,set_type)|ilf_type(power_set(A),set_type).
% 5.52/5.70 ** KEPT (pick-wt=15): 43 [] -ilf_type(A,set_type)|empty(B)| -ilf_type(B,set_type)| -ilf_type(A,member_type(B))|member(A,B).
% 5.52/5.70 ** 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).
% 5.52/5.70 ** KEPT (pick-wt=10): 45 [] empty(A)| -ilf_type(A,set_type)|ilf_type($f9(A),member_type(A)).
% 5.52/5.70 ** KEPT (pick-wt=11): 46 [] -ilf_type(A,set_type)| -empty(A)| -ilf_type(B,set_type)| -member(B,A).
% 5.52/5.70 ** KEPT (pick-wt=9): 47 [] -ilf_type(A,set_type)|empty(A)|ilf_type($f10(A),set_type).
% 5.52/5.70 ** KEPT (pick-wt=9): 48 [] -ilf_type(A,set_type)|empty(A)|member($f10(A),A).
% 5.52/5.70 ** KEPT (pick-wt=7): 49 [] -empty(A)| -ilf_type(A,set_type)|relation_like(A).
% 5.52/5.70 ** KEPT (pick-wt=23): 50 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))| -ilf_type(D,set_type)|restrict4(A,B,C,D)=restrict(C,D).
% 5.52/5.70 ** KEPT (pick-wt=23): 51 [] -ilf_type(A,set_type)| -ilf_type(B,set_type)| -ilf_type(C,relation_type(A,B))| -ilf_type(D,set_type)|ilf_type(restrict4(A,B,C,D),relation_type(A,B)).
% 5.52/5.70 ** KEPT (pick-wt=9): 52 [] -ilf_type(restrict4($c5,$c3,$c2,$c4),relation_type($c4,$c3)).
% 5.52/5.70
% 5.52/5.70 ------------> process sos:
% 5.52/5.70 ** KEPT (pick-wt=3): 165 [] A=A.
% 5.52/5.70 ** KEPT (pick-wt=3): 166 [] ilf_type($c1,binary_relation_type).
% 5.52/5.70 ** KEPT (pick-wt=3): 167 [] ilf_type(A,set_type).
% 5.52/5.70 Following clause subsumed by 167 during input processing: 0 [] ilf_type($c5,set_type).
% 5.52/5.70 Following clause subsumed by 167 during input processing: 0 [] ilf_type($c4,set_type).
% 5.52/5.70 Following clause subsumed by 167 during input processing: 0 [] ilf_type($c3,set_type).
% 5.52/5.70 ** KEPT (pick-wt=5): 168 [] ilf_type($c2,relation_type($c5,$c3)).
% 5.52/5.70 Following clause subsumed by 165 during input processing: 0 [copy,165,flip.1] A=A.
% 5.52/5.70 165 back subsumes 27.
% 5.52/5.70 167 back subsumes 112.
% 5.52/5.70 167 back subsumes 103.
% 5.52/5.70 167 back subsumes 102.
% 5.52/5.70 167 back subsumes 99.
% 5.52/5.70 167 back subsumes 98.
% 5.52/5.70 167 back subsumes 47.
% 5.52/5.70 167 back subsumes 42.
% 5.52/5.70 167 back subsumes 38.
% 5.52/5.70 167 back subsumes 33.
% 5.52/5.70 167 back subsumes 30.
% 5.52/5.70 167 back subsumes 29.
% 5.52/5.70 167 back subsumes 19.
% 5.52/5.70 167 back subsumes 18.
% 5.52/5.70 167 back subsumes 3.
% 5.52/5.70 167 back subsumes 2.
% 5.52/5.70
% 5.52/5.70 ======= end of input processing =======
% 5.52/5.70
% 5.52/5.70 =========== start of search ===========
% 5.52/5.70
% 5.52/5.70
% 5.52/5.70 Resetting weight limit to 9.
% 5.52/5.70
% 5.52/5.70
% 5.52/5.70 Resetting weight limit to 9.
% 5.52/5.70
% 5.52/5.70 sos_size=275
% 5.52/5.70
% 5.52/5.70 Search stopped because sos empty.
% 5.52/5.70
% 5.52/5.70
% 5.52/5.70 Search stopped because sos empty.
% 5.52/5.70
% 5.52/5.70 ============ end of search ============
% 5.52/5.70
% 5.52/5.70 -------------- statistics -------------
% 5.52/5.70 clauses given 364
% 5.52/5.70 clauses generated 202525
% 5.52/5.70 clauses kept 697
% 5.52/5.70 clauses forward subsumed 1044
% 5.52/5.70 clauses back subsumed 201
% 5.52/5.70 Kbytes malloced 6835
% 5.52/5.70
% 5.52/5.70 ----------- times (seconds) -----------
% 5.52/5.70 user CPU time 3.64 (0 hr, 0 min, 3 sec)
% 5.52/5.70 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 5.52/5.70 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 5.52/5.70
% 5.52/5.70 Process 16881 finished Wed Jul 27 10:39:59 2022
% 5.52/5.70 Otter interrupted
% 5.52/5.70 PROOF NOT FOUND
%------------------------------------------------------------------------------