TSTP Solution File: SEU391+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU391+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.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 13:16:02 EDT 2022
% Result : Unknown 2.86s 2.99s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU391+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:57:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.54/2.75 ----- Otter 3.3f, August 2004 -----
% 2.54/2.75 The process was started by sandbox2 on n018.cluster.edu,
% 2.54/2.75 Wed Jul 27 07:57:31 2022
% 2.54/2.75 The command was "./otter". The process ID is 30368.
% 2.54/2.75
% 2.54/2.75 set(prolog_style_variables).
% 2.54/2.75 set(auto).
% 2.54/2.75 dependent: set(auto1).
% 2.54/2.75 dependent: set(process_input).
% 2.54/2.75 dependent: clear(print_kept).
% 2.54/2.75 dependent: clear(print_new_demod).
% 2.54/2.75 dependent: clear(print_back_demod).
% 2.54/2.75 dependent: clear(print_back_sub).
% 2.54/2.75 dependent: set(control_memory).
% 2.54/2.75 dependent: assign(max_mem, 12000).
% 2.54/2.75 dependent: assign(pick_given_ratio, 4).
% 2.54/2.75 dependent: assign(stats_level, 1).
% 2.54/2.75 dependent: assign(max_seconds, 10800).
% 2.54/2.75 clear(print_given).
% 2.54/2.75
% 2.54/2.75 formula_list(usable).
% 2.54/2.75 all A (A=A).
% 2.54/2.75 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 2.54/2.75 all A B (in(A,B)-> -in(B,A)).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&up_complete_relstr(A)&join_complete_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&join_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&lower_bounded_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&lower_bounded_relstr(A)&up_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&join_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&with_infima_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&upper_bounded_relstr(A)&join_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&upper_bounded_relstr(A))).
% 2.54/2.75 all A (empty(A)->finite(A)).
% 2.54/2.75 all A (rel_str(A)-> (with_suprema_relstr(A)-> -empty_carrier(A))).
% 2.54/2.75 all A (empty(A)->relation(A)).
% 2.54/2.75 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 2.54/2.75 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.54/2.75 all A (rel_str(A)-> (with_infima_relstr(A)-> -empty_carrier(A))).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&trivial_carrier(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&bounded_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (bounded_relstr(A)->lower_bounded_relstr(A)&upper_bounded_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&trivial_carrier(A)-> -empty_carrier(A)&reflexive_relstr(A)&connected_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (lower_bounded_relstr(A)&upper_bounded_relstr(A)->bounded_relstr(A))).
% 2.54/2.75 all A (rel_str(A)-> (reflexive_relstr(A)&with_suprema_relstr(A)&up_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&with_suprema_relstr(A)&upper_bounded_relstr(A))).
% 2.54/2.75 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)->filter_of_net_str(A,B)=a_2_1_yellow19(A,B)))).
% 2.54/2.75 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 2.54/2.75 $T.
% 2.54/2.75 $T.
% 2.54/2.75 all A (one_sorted_str(A)->element(cast_as_carrier_subset(A),powerset(the_carrier(A)))).
% 2.54/2.75 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)->element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A)))))).
% 2.54/2.75 $T.
% 2.54/2.75 all A (strict_rel_str(boole_POSet(A))&rel_str(boole_POSet(A))).
% 2.54/2.75 all A (rel_str(A)->one_sorted_str(A)).
% 2.54/2.75 $T.
% 2.54/2.75 all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 2.54/2.75 $T.
% 2.54/2.75 $T.
% 2.54/2.75 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.54/2.75 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.54/2.75 $T.
% 2.54/2.75 exists A rel_str(A).
% 2.54/2.75 exists A one_sorted_str(A).
% 2.54/2.75 all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 2.54/2.75 all A B exists C relation_of2(C,A,B).
% 2.54/2.75 all A exists B element(B,A).
% 2.54/2.75 all A B exists C relation_of2_as_subset(C,A,B).
% 2.54/2.75 empty(empty_set).
% 2.54/2.75 relation(empty_set).
% 2.54/2.75 relation_empty_yielding(empty_set).
% 2.54/2.75 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 2.54/2.75 all A (-empty_carrier(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&lower_relstr_subset(cast_as_carrier_subset(A),A)&upper_relstr_subset(cast_as_carrier_subset(A),A)).
% 2.54/2.75 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.54/2.75 all A (-empty(powerset(A))).
% 2.54/2.75 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&up_complete_relstr(boole_POSet(A))&join_complete_relstr(boole_POSet(A))& -v1_yellow_3(boole_POSet(A))&distributive_relstr(boole_POSet(A))&heyting_relstr(boole_POSet(A))&complemented_relstr(boole_POSet(A))&boolean_relstr(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 2.54/2.75 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(cast_as_carrier_subset(A))).
% 2.54/2.75 all A (with_suprema_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)).
% 2.54/2.75 all A (-empty(A)-> -empty_carrier(boole_POSet(A))& -trivial_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&up_complete_relstr(boole_POSet(A))&join_complete_relstr(boole_POSet(A))& -v1_yellow_3(boole_POSet(A))&distributive_relstr(boole_POSet(A))&heyting_relstr(boole_POSet(A))&complemented_relstr(boole_POSet(A))&boolean_relstr(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 2.54/2.75 all A (-empty_carrier(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))).
% 2.54/2.75 all A (-empty_carrier(A)&upper_bounded_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&directed_subset(cast_as_carrier_subset(A),A)).
% 2.54/2.75 empty(empty_set).
% 2.54/2.75 relation(empty_set).
% 2.54/2.75 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.54/2.75 all A (with_infima_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)).
% 2.54/2.75 all A (-empty_carrier(A)&lower_bounded_relstr(A)&rel_str(A)-> -empty(cast_as_carrier_subset(A))&filtered_subset(cast_as_carrier_subset(A),A)).
% 2.54/2.75 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))).
% 2.54/2.75 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 2.54/2.75 all A (-empty_carrier(boole_POSet(A))&strict_rel_str(boole_POSet(A))&reflexive_relstr(boole_POSet(A))&transitive_relstr(boole_POSet(A))&antisymmetric_relstr(boole_POSet(A))&lower_bounded_relstr(boole_POSet(A))&upper_bounded_relstr(boole_POSet(A))&bounded_relstr(boole_POSet(A))&directed_relstr(boole_POSet(A))&up_complete_relstr(boole_POSet(A))&join_complete_relstr(boole_POSet(A))& -v1_yellow_3(boole_POSet(A))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_relstr(boole_POSet(A))).
% 2.54/2.75 all A B C (-empty_carrier(B)&one_sorted_str(B)& -empty_carrier(C)&net_str(C,B)-> (in(A,a_2_1_yellow19(B,C))<-> (exists D (element(D,powerset(the_carrier(B)))&A=D&is_eventually_in(B,C,D))))).
% 2.54/2.75 all A B (relation_of2(B,A,A)-> (all C D (rel_str_of(A,B)=rel_str_of(C,D)->A=C&B=D))).
% 2.54/2.75 all A (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&filtered_subset(B,A)&upper_relstr_subset(B,A)))).
% 2.54/2.75 all A (reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&directed_subset(B,A)&filtered_subset(B,A)&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&connected_relstr(A)).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)&up_complete_relstr(A)&join_complete_relstr(A)).
% 2.54/2.75 exists A (-empty(A)&finite(A)).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A)).
% 2.54/2.75 exists A (empty(A)&relation(A)).
% 2.54/2.75 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.54/2.75 all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&directed_subset(B,A)&filtered_subset(B,A)))).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)& -trivial_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)& -v1_yellow_3(A)&distributive_relstr(A)&heyting_relstr(A)&complemented_relstr(A)&boolean_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&trivial_carrier(A)).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)).
% 2.54/2.75 exists A (-empty(A)&relation(A)).
% 2.54/2.75 all A exists B (element(B,powerset(A))&empty(B)).
% 2.54/2.75 all A (-empty_carrier(A)&reflexive_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&finite(B)&directed_subset(B,A)&filtered_subset(B,A)))).
% 2.54/2.75 all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)).
% 2.54/2.75 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.54/2.75 exists A (relation(A)&relation_empty_yielding(A)).
% 2.54/2.75 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.54/2.75 all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 2.54/2.75 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.54/2.75 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&transitive_relstr(A)&directed_relstr(A)).
% 2.54/2.75 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.54/2.75 all A (rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 2.54/2.75 all A (-empty_carrier(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&lower_relstr_subset(B,A)&upper_relstr_subset(B,A)))).
% 2.54/2.75 all A (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&directed_subset(B,A)&lower_relstr_subset(B,A)))).
% 2.54/2.75 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.54/2.75 all A B subset(A,A).
% 2.54/2.75 -(all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (in(C,filter_of_net_str(A,B))<->is_eventually_in(A,B,C)&element(C,powerset(the_carrier(A))))))))).
% 2.54/2.75 all A B (in(A,B)->element(A,B)).
% 2.54/2.75 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.54/2.75 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 2.54/2.75 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.54/2.75 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.54/2.75 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.54/2.75 all A (empty(A)->A=empty_set).
% 2.54/2.75 all A B (-(in(A,B)&empty(B))).
% 2.54/2.75 all A B (-(empty(A)&A!=B&empty(B))).
% 2.54/2.75 end_of_list.
% 2.54/2.75
% 2.54/2.75 -------> usable clausifies to:
% 2.54/2.75
% 2.54/2.75 list(usable).
% 2.54/2.75 0 [] A=A.
% 2.54/2.75 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 2.54/2.75 0 [] -in(A,B)| -in(B,A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|with_infima_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|complete_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|bounded_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 2.54/2.75 0 [] -empty(A)|finite(A).
% 2.54/2.75 0 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.54/2.75 0 [] -empty(A)|relation(A).
% 2.54/2.75 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.54/2.75 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.54/2.75 0 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.54/2.75 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 2.54/2.75 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.54/2.75 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|filter_of_net_str(A,B)=a_2_1_yellow19(A,B).
% 2.54/2.75 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.54/2.75 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 2.54/2.75 0 [] $T.
% 2.54/2.75 0 [] $T.
% 2.54/2.75 0 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 2.54/2.75 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 2.54/2.75 0 [] $T.
% 2.54/2.75 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.75 0 [] rel_str(boole_POSet(A)).
% 2.54/2.75 0 [] -rel_str(A)|one_sorted_str(A).
% 2.54/2.75 0 [] $T.
% 2.54/2.75 0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.54/2.75 0 [] $T.
% 2.54/2.75 0 [] $T.
% 2.54/2.75 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.54/2.75 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.54/2.75 0 [] $T.
% 2.54/2.75 0 [] rel_str($c1).
% 2.54/2.75 0 [] one_sorted_str($c2).
% 2.54/2.75 0 [] -one_sorted_str(A)|net_str($f1(A),A).
% 2.54/2.75 0 [] relation_of2($f2(A,B),A,B).
% 2.54/2.75 0 [] element($f3(A),A).
% 2.54/2.75 0 [] relation_of2_as_subset($f4(A,B),A,B).
% 2.54/2.75 0 [] empty(empty_set).
% 2.54/2.75 0 [] relation(empty_set).
% 2.54/2.75 0 [] relation_empty_yielding(empty_set).
% 2.54/2.75 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.54/2.75 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.75 0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 2.54/2.75 0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 2.54/2.75 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.54/2.75 0 [] -empty(powerset(A)).
% 2.54/2.75 0 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.75 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.75 0 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] up_complete_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] join_complete_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] -v1_yellow_3(boole_POSet(A)).
% 2.54/2.75 0 [] distributive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] heyting_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] complemented_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] boolean_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] with_infima_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] complete_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.75 0 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.75 0 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 2.54/2.75 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.75 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.75 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 2.54/2.75 0 [] empty(empty_set).
% 2.54/2.75 0 [] relation(empty_set).
% 2.54/2.75 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.54/2.75 0 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.75 0 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 2.54/2.75 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.75 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 2.54/2.75 0 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.75 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.75 0 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.75 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.75 0 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] with_infima_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] complete_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.75 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.75 0 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] bounded_relstr(boole_POSet(A)).
% 2.54/2.75 0 [] directed_relstr(boole_POSet(A)).
% 2.54/2.76 0 [] up_complete_relstr(boole_POSet(A)).
% 2.54/2.76 0 [] join_complete_relstr(boole_POSet(A)).
% 2.54/2.76 0 [] -v1_yellow_3(boole_POSet(A)).
% 2.54/2.76 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.54/2.76 0 [] with_infima_relstr(boole_POSet(A)).
% 2.54/2.76 0 [] complete_relstr(boole_POSet(A)).
% 2.54/2.76 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -in(A,a_2_1_yellow19(B,C))|element($f5(A,B,C),powerset(the_carrier(B))).
% 2.54/2.76 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -in(A,a_2_1_yellow19(B,C))|A=$f5(A,B,C).
% 2.54/2.76 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)| -in(A,a_2_1_yellow19(B,C))|is_eventually_in(B,C,$f5(A,B,C)).
% 2.54/2.76 0 [] empty_carrier(B)| -one_sorted_str(B)|empty_carrier(C)| -net_str(C,B)|in(A,a_2_1_yellow19(B,C))| -element(D,powerset(the_carrier(B)))|A!=D| -is_eventually_in(B,C,D).
% 2.54/2.76 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 2.54/2.76 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f6(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f6(A)).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f6(A),A).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f6(A),A).
% 2.54/2.76 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f7(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f7(A)).
% 2.54/2.76 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f7(A),A).
% 2.54/2.76 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f7(A),A).
% 2.54/2.76 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f7(A),A).
% 2.54/2.76 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f7(A),A).
% 2.54/2.76 0 [] rel_str($c3).
% 2.54/2.76 0 [] -empty_carrier($c3).
% 2.54/2.76 0 [] reflexive_relstr($c3).
% 2.54/2.76 0 [] transitive_relstr($c3).
% 2.54/2.76 0 [] antisymmetric_relstr($c3).
% 2.54/2.76 0 [] connected_relstr($c3).
% 2.54/2.76 0 [] rel_str($c4).
% 2.54/2.76 0 [] -empty_carrier($c4).
% 2.54/2.76 0 [] strict_rel_str($c4).
% 2.54/2.76 0 [] reflexive_relstr($c4).
% 2.54/2.76 0 [] transitive_relstr($c4).
% 2.54/2.76 0 [] antisymmetric_relstr($c4).
% 2.54/2.76 0 [] with_suprema_relstr($c4).
% 2.54/2.76 0 [] with_infima_relstr($c4).
% 2.54/2.76 0 [] complete_relstr($c4).
% 2.54/2.76 0 [] lower_bounded_relstr($c4).
% 2.54/2.76 0 [] upper_bounded_relstr($c4).
% 2.54/2.76 0 [] bounded_relstr($c4).
% 2.54/2.76 0 [] up_complete_relstr($c4).
% 2.54/2.76 0 [] join_complete_relstr($c4).
% 2.54/2.76 0 [] -empty($c5).
% 2.54/2.76 0 [] finite($c5).
% 2.54/2.76 0 [] rel_str($c6).
% 2.54/2.76 0 [] -empty_carrier($c6).
% 2.54/2.76 0 [] strict_rel_str($c6).
% 2.54/2.76 0 [] reflexive_relstr($c6).
% 2.54/2.76 0 [] transitive_relstr($c6).
% 2.54/2.76 0 [] antisymmetric_relstr($c6).
% 2.54/2.76 0 [] complete_relstr($c6).
% 2.54/2.76 0 [] empty($c7).
% 2.54/2.76 0 [] relation($c7).
% 2.54/2.76 0 [] empty(A)|element($f8(A),powerset(A)).
% 2.54/2.76 0 [] empty(A)| -empty($f8(A)).
% 2.54/2.76 0 [] -rel_str(A)|element($f9(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] -rel_str(A)|directed_subset($f9(A),A).
% 2.54/2.76 0 [] -rel_str(A)|filtered_subset($f9(A),A).
% 2.54/2.76 0 [] rel_str($c8).
% 2.54/2.76 0 [] -empty_carrier($c8).
% 2.54/2.76 0 [] -trivial_carrier($c8).
% 2.54/2.76 0 [] strict_rel_str($c8).
% 2.54/2.76 0 [] reflexive_relstr($c8).
% 2.54/2.76 0 [] transitive_relstr($c8).
% 2.54/2.76 0 [] antisymmetric_relstr($c8).
% 2.54/2.76 0 [] lower_bounded_relstr($c8).
% 2.54/2.76 0 [] upper_bounded_relstr($c8).
% 2.54/2.76 0 [] bounded_relstr($c8).
% 2.54/2.76 0 [] -v1_yellow_3($c8).
% 2.54/2.76 0 [] distributive_relstr($c8).
% 2.54/2.76 0 [] heyting_relstr($c8).
% 2.54/2.76 0 [] complemented_relstr($c8).
% 2.54/2.76 0 [] boolean_relstr($c8).
% 2.54/2.76 0 [] with_suprema_relstr($c8).
% 2.54/2.76 0 [] with_infima_relstr($c8).
% 2.54/2.76 0 [] rel_str($c9).
% 2.54/2.76 0 [] -empty_carrier($c9).
% 2.54/2.76 0 [] strict_rel_str($c9).
% 2.54/2.76 0 [] reflexive_relstr($c9).
% 2.54/2.76 0 [] transitive_relstr($c9).
% 2.54/2.76 0 [] antisymmetric_relstr($c9).
% 2.54/2.76 0 [] with_suprema_relstr($c9).
% 2.54/2.76 0 [] with_infima_relstr($c9).
% 2.54/2.76 0 [] complete_relstr($c9).
% 2.54/2.76 0 [] trivial_carrier($c9).
% 2.54/2.76 0 [] rel_str($c10).
% 2.54/2.76 0 [] -empty_carrier($c10).
% 2.54/2.76 0 [] strict_rel_str($c10).
% 2.54/2.76 0 [] reflexive_relstr($c10).
% 2.54/2.76 0 [] transitive_relstr($c10).
% 2.54/2.76 0 [] antisymmetric_relstr($c10).
% 2.54/2.76 0 [] with_suprema_relstr($c10).
% 2.54/2.76 0 [] with_infima_relstr($c10).
% 2.54/2.76 0 [] complete_relstr($c10).
% 2.54/2.76 0 [] -empty($c11).
% 2.54/2.76 0 [] relation($c11).
% 2.54/2.76 0 [] element($f10(A),powerset(A)).
% 2.54/2.76 0 [] empty($f10(A)).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f11(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f11(A)).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f11(A)).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f11(A),A).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f11(A),A).
% 2.54/2.76 0 [] element($f12(A),powerset(powerset(A))).
% 2.54/2.76 0 [] -empty($f12(A)).
% 2.54/2.76 0 [] finite($f12(A)).
% 2.54/2.76 0 [] rel_str($c12).
% 2.54/2.76 0 [] -empty_carrier($c12).
% 2.54/2.76 0 [] reflexive_relstr($c12).
% 2.54/2.76 0 [] transitive_relstr($c12).
% 2.54/2.76 0 [] antisymmetric_relstr($c12).
% 2.54/2.76 0 [] with_suprema_relstr($c12).
% 2.54/2.76 0 [] with_infima_relstr($c12).
% 2.54/2.76 0 [] complete_relstr($c12).
% 2.54/2.76 0 [] lower_bounded_relstr($c12).
% 2.54/2.76 0 [] upper_bounded_relstr($c12).
% 2.54/2.76 0 [] bounded_relstr($c12).
% 2.54/2.76 0 [] empty(A)|element($f13(A),powerset(A)).
% 2.54/2.76 0 [] empty(A)| -empty($f13(A)).
% 2.54/2.76 0 [] empty(A)|finite($f13(A)).
% 2.54/2.76 0 [] relation($c13).
% 2.54/2.76 0 [] relation_empty_yielding($c13).
% 2.54/2.76 0 [] one_sorted_str($c14).
% 2.54/2.76 0 [] -empty_carrier($c14).
% 2.54/2.76 0 [] -one_sorted_str(A)|element($f14(A),powerset(powerset(the_carrier(A)))).
% 2.54/2.76 0 [] -one_sorted_str(A)| -empty($f14(A)).
% 2.54/2.76 0 [] -one_sorted_str(A)|finite($f14(A)).
% 2.54/2.76 0 [] empty(A)|element($f15(A),powerset(A)).
% 2.54/2.76 0 [] empty(A)| -empty($f15(A)).
% 2.54/2.76 0 [] empty(A)|finite($f15(A)).
% 2.54/2.76 0 [] rel_str($c15).
% 2.54/2.76 0 [] -empty_carrier($c15).
% 2.54/2.76 0 [] strict_rel_str($c15).
% 2.54/2.76 0 [] transitive_relstr($c15).
% 2.54/2.76 0 [] directed_relstr($c15).
% 2.54/2.76 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f16(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f16(A)).
% 2.54/2.76 0 [] -rel_str(A)|element($f17(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] -rel_str(A)|lower_relstr_subset($f17(A),A).
% 2.54/2.76 0 [] -rel_str(A)|upper_relstr_subset($f17(A),A).
% 2.54/2.76 0 [] empty_carrier(A)| -rel_str(A)|element($f18(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] empty_carrier(A)| -rel_str(A)| -empty($f18(A)).
% 2.54/2.76 0 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f18(A),A).
% 2.54/2.76 0 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f18(A),A).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f19(A),powerset(the_carrier(A))).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f19(A)).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f19(A),A).
% 2.54/2.76 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f19(A),A).
% 2.54/2.76 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.54/2.76 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.54/2.76 0 [] subset(A,A).
% 2.54/2.76 0 [] -empty_carrier($c18).
% 2.54/2.76 0 [] one_sorted_str($c18).
% 2.54/2.76 0 [] -empty_carrier($c17).
% 2.54/2.76 0 [] net_str($c17,$c18).
% 2.54/2.76 0 [] in($c16,filter_of_net_str($c18,$c17))|is_eventually_in($c18,$c17,$c16).
% 2.54/2.76 0 [] in($c16,filter_of_net_str($c18,$c17))|element($c16,powerset(the_carrier($c18))).
% 2.54/2.76 0 [] -in($c16,filter_of_net_str($c18,$c17))| -is_eventually_in($c18,$c17,$c16)| -element($c16,powerset(the_carrier($c18))).
% 2.54/2.76 0 [] -in(A,B)|element(A,B).
% 2.54/2.76 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.54/2.76 0 [] in($f20(A,B),A)|in($f20(A,B),B)|A=B.
% 2.54/2.76 0 [] -in($f20(A,B),A)| -in($f20(A,B),B)|A=B.
% 2.54/2.76 0 [] -element(A,powerset(B))|subset(A,B).
% 2.54/2.76 0 [] element(A,powerset(B))| -subset(A,B).
% 2.54/2.76 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.54/2.76 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.54/2.76 0 [] -empty(A)|A=empty_set.
% 2.54/2.76 0 [] -in(A,B)| -empty(B).
% 2.54/2.76 0 [] -empty(A)|A=B| -empty(B).
% 2.54/2.76 end_of_list.
% 2.54/2.76
% 2.54/2.76 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.54/2.76
% 2.54/2.76 This ia a non-Horn set with equality. The strategy will be
% 2.54/2.76 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.54/2.76 deletion, with positive clauses in sos and nonpositive
% 2.54/2.76 clauses in usable.
% 2.54/2.76
% 2.54/2.76 dependent: set(knuth_bendix).
% 2.54/2.76 dependent: set(anl_eq).
% 2.54/2.76 dependent: set(para_from).
% 2.54/2.76 dependent: set(para_into).
% 2.54/2.76 dependent: clear(para_from_right).
% 2.54/2.76 dependent: clear(para_into_right).
% 2.54/2.76 dependent: set(para_from_vars).
% 2.54/2.76 dependent: set(eq_units_both_ways).
% 2.54/2.76 dependent: set(dynamic_demod_all).
% 2.54/2.76 dependent: set(dynamic_demod).
% 2.54/2.76 dependent: set(order_eq).
% 2.54/2.76 dependent: set(back_demod).
% 2.54/2.76 dependent: set(lrpo).
% 2.54/2.76 dependent: set(hyper_res).
% 2.54/2.76 dependent: set(unit_deletion).
% 2.54/2.76 dependent: set(factor).
% 2.54/2.76
% 2.54/2.76 ------------> process usable:
% 2.54/2.76 ** KEPT (pick-wt=11): 2 [copy,1,flip.3] -rel_str(A)| -strict_rel_str(A)|rel_str_of(the_carrier(A),the_InternalRel(A))=A.
% 2.54/2.76 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.54/2.76 ** KEPT (pick-wt=10): 4 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=10): 5 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=10): 6 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=18): 7 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|with_infima_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=18): 8 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|complete_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=18): 9 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=18): 10 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -lower_bounded_relstr(A)| -up_complete_relstr(A)|bounded_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=12): 11 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=14): 12 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=4): 13 [] -empty(A)|finite(A).
% 2.54/2.76 ** KEPT (pick-wt=6): 14 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.54/2.76 ** KEPT (pick-wt=4): 15 [] -empty(A)|relation(A).
% 2.54/2.76 ** KEPT (pick-wt=8): 16 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.54/2.76 ** KEPT (pick-wt=8): 17 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=8): 18 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=8): 19 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.54/2.76 ** KEPT (pick-wt=6): 20 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.54/2.76 ** KEPT (pick-wt=10): 21 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=10): 22 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=10): 23 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=8): 24 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=6): 25 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=6): 26 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=10): 27 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=8): 28 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.54/2.76 Following clause subsumed by 14 during input processing: 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 2.54/2.76 ** KEPT (pick-wt=10): 29 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.54/2.76 ** KEPT (pick-wt=16): 30 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|filter_of_net_str(A,B)=a_2_1_yellow19(A,B).
% 2.54/2.76 ** KEPT (pick-wt=8): 31 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 32 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 33 [] -one_sorted_str(A)|element(cast_as_carrier_subset(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=18): 34 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|element(filter_of_net_str(A,B),powerset(the_carrier(boole_POSet(cast_as_carrier_subset(A))))).
% 2.54/2.76 ** KEPT (pick-wt=4): 35 [] -rel_str(A)|one_sorted_str(A).
% 2.54/2.76 ** KEPT (pick-wt=7): 36 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.54/2.76 ** KEPT (pick-wt=10): 37 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.54/2.76 ** KEPT (pick-wt=9): 38 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.54/2.76 ** KEPT (pick-wt=6): 39 [] -one_sorted_str(A)|net_str($f1(A),A).
% 2.54/2.76 ** KEPT (pick-wt=8): 40 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.54/2.76 ** KEPT (pick-wt=7): 41 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 42 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset(cast_as_carrier_subset(A),A).
% 2.54/2.76 ** KEPT (pick-wt=8): 43 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset(cast_as_carrier_subset(A),A).
% 2.54/2.76 ** KEPT (pick-wt=7): 44 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 45 [] -empty(powerset(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 46 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 47 [] -v1_yellow_3(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=7): 48 [] empty_carrier(A)| -one_sorted_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.76 ** KEPT (pick-wt=7): 49 [] -with_suprema_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 50 [] -with_suprema_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 2.54/2.76 Following clause subsumed by 46 during input processing: 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=5): 51 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 47 during input processing: 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 41 during input processing: 0 [] empty_carrier(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.76 Following clause subsumed by 41 during input processing: 0 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.76 ** KEPT (pick-wt=10): 52 [] empty_carrier(A)| -upper_bounded_relstr(A)| -rel_str(A)|directed_subset(cast_as_carrier_subset(A),A).
% 2.54/2.76 ** KEPT (pick-wt=8): 53 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.54/2.76 ** KEPT (pick-wt=7): 54 [] -with_infima_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 55 [] -with_infima_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 2.54/2.76 Following clause subsumed by 41 during input processing: 0 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)| -empty(cast_as_carrier_subset(A)).
% 2.54/2.76 ** KEPT (pick-wt=10): 56 [] empty_carrier(A)| -lower_bounded_relstr(A)| -rel_str(A)|filtered_subset(cast_as_carrier_subset(A),A).
% 2.54/2.76 Following clause subsumed by 46 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 46 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 46 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 47 during input processing: 0 [] -v1_yellow_3(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=22): 57 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -in(C,a_2_1_yellow19(A,B))|element($f5(C,A,B),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=20): 59 [copy,58,flip.6] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -in(C,a_2_1_yellow19(A,B))|$f5(C,A,B)=C.
% 2.54/2.76 ** KEPT (pick-wt=21): 60 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -in(C,a_2_1_yellow19(A,B))|is_eventually_in(A,B,$f5(C,A,B)).
% 2.54/2.76 ** KEPT (pick-wt=26): 61 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|in(C,a_2_1_yellow19(A,B))| -element(D,powerset(the_carrier(A)))|C!=D| -is_eventually_in(A,B,D).
% 2.54/2.76 ** KEPT (pick-wt=14): 62 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 2.54/2.76 ** KEPT (pick-wt=14): 63 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 2.54/2.76 ** KEPT (pick-wt=14): 64 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f6(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=11): 65 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f6(A)).
% 2.54/2.76 ** KEPT (pick-wt=12): 66 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f6(A),A).
% 2.54/2.76 ** KEPT (pick-wt=12): 67 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f6(A),A).
% 2.54/2.76 ** KEPT (pick-wt=18): 68 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|element($f7(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=15): 69 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)| -empty($f7(A)).
% 2.54/2.76 ** KEPT (pick-wt=16): 70 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|directed_subset($f7(A),A).
% 2.54/2.76 ** KEPT (pick-wt=16): 71 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|filtered_subset($f7(A),A).
% 2.54/2.76 ** KEPT (pick-wt=16): 72 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|lower_relstr_subset($f7(A),A).
% 2.54/2.76 ** KEPT (pick-wt=16): 73 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -rel_str(A)|upper_relstr_subset($f7(A),A).
% 2.54/2.76 ** KEPT (pick-wt=2): 74 [] -empty_carrier($c3).
% 2.54/2.76 ** KEPT (pick-wt=2): 75 [] -empty_carrier($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 76 [] -empty($c5).
% 2.54/2.76 ** KEPT (pick-wt=2): 77 [] -empty_carrier($c6).
% 2.54/2.76 ** KEPT (pick-wt=5): 78 [] empty(A)| -empty($f8(A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 79 [] -rel_str(A)|element($f9(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=6): 80 [] -rel_str(A)|directed_subset($f9(A),A).
% 2.54/2.76 ** KEPT (pick-wt=6): 81 [] -rel_str(A)|filtered_subset($f9(A),A).
% 2.54/2.76 ** KEPT (pick-wt=2): 82 [] -empty_carrier($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 83 [] -trivial_carrier($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 84 [] -v1_yellow_3($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 85 [] -empty_carrier($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 86 [] -empty_carrier($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 87 [] -empty($c11).
% 2.54/2.76 ** KEPT (pick-wt=12): 88 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|element($f11(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=9): 89 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -empty($f11(A)).
% 2.54/2.76 ** KEPT (pick-wt=9): 90 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|finite($f11(A)).
% 2.54/2.76 ** KEPT (pick-wt=10): 91 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|directed_subset($f11(A),A).
% 2.54/2.76 ** KEPT (pick-wt=10): 92 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)|filtered_subset($f11(A),A).
% 2.54/2.76 ** KEPT (pick-wt=3): 93 [] -empty($f12(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 94 [] -empty_carrier($c12).
% 2.54/2.76 ** KEPT (pick-wt=5): 95 [] empty(A)| -empty($f13(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 96 [] -empty_carrier($c14).
% 2.54/2.76 ** KEPT (pick-wt=9): 97 [] -one_sorted_str(A)|element($f14(A),powerset(powerset(the_carrier(A)))).
% 2.54/2.76 ** KEPT (pick-wt=5): 98 [] -one_sorted_str(A)| -empty($f14(A)).
% 2.54/2.76 ** KEPT (pick-wt=5): 99 [] -one_sorted_str(A)|finite($f14(A)).
% 2.54/2.76 ** KEPT (pick-wt=5): 100 [] empty(A)| -empty($f15(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 101 [] -empty_carrier($c15).
% 2.54/2.76 ** KEPT (pick-wt=10): 102 [] empty_carrier(A)| -one_sorted_str(A)|element($f16(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=7): 103 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f16(A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 104 [] -rel_str(A)|element($f17(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=6): 105 [] -rel_str(A)|lower_relstr_subset($f17(A),A).
% 2.54/2.76 ** KEPT (pick-wt=6): 106 [] -rel_str(A)|upper_relstr_subset($f17(A),A).
% 2.54/2.76 ** KEPT (pick-wt=10): 107 [] empty_carrier(A)| -rel_str(A)|element($f18(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=7): 108 [] empty_carrier(A)| -rel_str(A)| -empty($f18(A)).
% 2.54/2.76 ** KEPT (pick-wt=8): 109 [] empty_carrier(A)| -rel_str(A)|lower_relstr_subset($f18(A),A).
% 2.54/2.76 ** KEPT (pick-wt=8): 110 [] empty_carrier(A)| -rel_str(A)|upper_relstr_subset($f18(A),A).
% 2.54/2.76 ** KEPT (pick-wt=14): 111 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f19(A),powerset(the_carrier(A))).
% 2.54/2.76 ** KEPT (pick-wt=11): 112 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f19(A)).
% 2.54/2.76 ** KEPT (pick-wt=12): 113 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|directed_subset($f19(A),A).
% 2.54/2.76 ** KEPT (pick-wt=12): 114 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|lower_relstr_subset($f19(A),A).
% 2.54/2.76 ** KEPT (pick-wt=8): 115 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.54/2.76 ** KEPT (pick-wt=8): 116 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.54/2.76 ** KEPT (pick-wt=2): 117 [] -empty_carrier($c18).
% 2.54/2.76 ** KEPT (pick-wt=2): 118 [] -empty_carrier($c17).
% 2.54/2.76 ** KEPT (pick-wt=14): 119 [] -in($c16,filter_of_net_str($c18,$c17))| -is_eventually_in($c18,$c17,$c16)| -element($c16,powerset(the_carrier($c18))).
% 2.54/2.76 ** KEPT (pick-wt=6): 120 [] -in(A,B)|element(A,B).
% 2.54/2.76 ** KEPT (pick-wt=8): 121 [] -element(A,B)|empty(B)|in(A,B).
% 2.54/2.76 ** KEPT (pick-wt=13): 122 [] -in($f20(A,B),A)| -in($f20(A,B),B)|A=B.
% 2.54/2.76 ** KEPT (pick-wt=7): 123 [] -element(A,powerset(B))|subset(A,B).
% 2.54/2.76 ** KEPT (pick-wt=7): 124 [] element(A,powerset(B))| -subset(A,B).
% 2.54/2.76 ** KEPT (pick-wt=10): 125 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.54/2.76 ** KEPT (pick-wt=9): 126 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.54/2.76 ** KEPT (pick-wt=5): 127 [] -empty(A)|A=empty_set.
% 2.54/2.76 ** KEPT (pick-wt=5): 128 [] -in(A,B)| -empty(B).
% 2.54/2.76 ** KEPT (pick-wt=7): 129 [] -empty(A)|A=B| -empty(B).
% 2.54/2.76 29 back subsumes 9.
% 2.54/2.76
% 2.54/2.76 ------------> process sos:
% 2.54/2.76 ** KEPT (pick-wt=3): 141 [] A=A.
% 2.54/2.76 ** KEPT (pick-wt=3): 142 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 143 [] rel_str(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 144 [] rel_str($c1).
% 2.54/2.76 ** KEPT (pick-wt=2): 145 [] one_sorted_str($c2).
% 2.54/2.76 ** KEPT (pick-wt=6): 146 [] relation_of2($f2(A,B),A,B).
% 2.54/2.76 ** KEPT (pick-wt=4): 147 [] element($f3(A),A).
% 2.54/2.76 ** KEPT (pick-wt=6): 148 [] relation_of2_as_subset($f4(A,B),A,B).
% 2.54/2.76 ** KEPT (pick-wt=2): 149 [] empty(empty_set).
% 2.54/2.76 ** KEPT (pick-wt=2): 150 [] relation(empty_set).
% 2.54/2.76 ** KEPT (pick-wt=2): 151 [] relation_empty_yielding(empty_set).
% 2.54/2.76 Following clause subsumed by 142 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 152 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 153 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 154 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 155 [] lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 156 [] upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 157 [] bounded_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 158 [] up_complete_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 159 [] join_complete_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 160 [] distributive_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 161 [] heyting_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 162 [] complemented_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 163 [] boolean_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 164 [] with_suprema_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 165 [] with_infima_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 166 [] complete_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 142 during input processing: 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 152 during input processing: 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 153 during input processing: 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 154 during input processing: 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 155 during input processing: 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 156 during input processing: 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 157 during input processing: 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 158 during input processing: 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 159 during input processing: 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 160 during input processing: 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 161 during input processing: 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 162 during input processing: 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 163 during input processing: 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 164 during input processing: 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 165 during input processing: 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 166 during input processing: 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 149 during input processing: 0 [] empty(empty_set).
% 2.54/2.76 Following clause subsumed by 150 during input processing: 0 [] relation(empty_set).
% 2.54/2.76 Following clause subsumed by 142 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 152 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 153 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 154 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 142 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 152 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 153 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 154 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 155 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 156 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 157 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 164 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 165 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 166 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 142 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 152 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 153 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 154 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 155 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 156 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 157 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 167 [] directed_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 158 during input processing: 0 [] up_complete_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 159 during input processing: 0 [] join_complete_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 164 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 165 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 2.54/2.76 Following clause subsumed by 166 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 168 [] rel_str($c3).
% 2.54/2.76 ** KEPT (pick-wt=2): 169 [] reflexive_relstr($c3).
% 2.54/2.76 ** KEPT (pick-wt=2): 170 [] transitive_relstr($c3).
% 2.54/2.76 ** KEPT (pick-wt=2): 171 [] antisymmetric_relstr($c3).
% 2.54/2.76 ** KEPT (pick-wt=2): 172 [] connected_relstr($c3).
% 2.54/2.76 ** KEPT (pick-wt=2): 173 [] rel_str($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 174 [] strict_rel_str($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 175 [] reflexive_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 176 [] transitive_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 177 [] antisymmetric_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 178 [] with_suprema_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 179 [] with_infima_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 180 [] complete_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 181 [] lower_bounded_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 182 [] upper_bounded_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 183 [] bounded_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 184 [] up_complete_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 185 [] join_complete_relstr($c4).
% 2.54/2.76 ** KEPT (pick-wt=2): 186 [] finite($c5).
% 2.54/2.76 ** KEPT (pick-wt=2): 187 [] rel_str($c6).
% 2.54/2.76 ** KEPT (pick-wt=2): 188 [] strict_rel_str($c6).
% 2.54/2.76 ** KEPT (pick-wt=2): 189 [] reflexive_relstr($c6).
% 2.54/2.76 ** KEPT (pick-wt=2): 190 [] transitive_relstr($c6).
% 2.54/2.76 ** KEPT (pick-wt=2): 191 [] antisymmetric_relstr($c6).
% 2.54/2.76 ** KEPT (pick-wt=2): 192 [] complete_relstr($c6).
% 2.54/2.76 ** KEPT (pick-wt=2): 193 [] empty($c7).
% 2.54/2.76 ** KEPT (pick-wt=2): 194 [] relation($c7).
% 2.54/2.76 ** KEPT (pick-wt=7): 195 [] empty(A)|element($f8(A),powerset(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 196 [] rel_str($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 197 [] strict_rel_str($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 198 [] reflexive_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 199 [] transitive_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 200 [] antisymmetric_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 201 [] lower_bounded_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 202 [] upper_bounded_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 203 [] bounded_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 204 [] distributive_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 205 [] heyting_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 206 [] complemented_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 207 [] boolean_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 208 [] with_suprema_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 209 [] with_infima_relstr($c8).
% 2.54/2.76 ** KEPT (pick-wt=2): 210 [] rel_str($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 211 [] strict_rel_str($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 212 [] reflexive_relstr($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 213 [] transitive_relstr($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 214 [] antisymmetric_relstr($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 215 [] with_suprema_relstr($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 216 [] with_infima_relstr($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 217 [] complete_relstr($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 218 [] trivial_carrier($c9).
% 2.54/2.76 ** KEPT (pick-wt=2): 219 [] rel_str($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 220 [] strict_rel_str($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 221 [] reflexive_relstr($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 222 [] transitive_relstr($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 223 [] antisymmetric_relstr($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 224 [] with_suprema_relstr($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 225 [] with_infima_relstr($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 226 [] complete_relstr($c10).
% 2.54/2.76 ** KEPT (pick-wt=2): 227 [] relation($c11).
% 2.54/2.76 ** KEPT (pick-wt=5): 228 [] element($f10(A),powerset(A)).
% 2.54/2.76 ** KEPT (pick-wt=3): 229 [] empty($f10(A)).
% 2.54/2.76 ** KEPT (pick-wt=6): 230 [] element($f12(A),powerset(powerset(A))).
% 2.54/2.76 ** KEPT (pick-wt=3): 231 [] finite($f12(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 232 [] rel_str($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 233 [] reflexive_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 234 [] transitive_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 235 [] antisymmetric_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 236 [] with_suprema_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 237 [] with_infima_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 238 [] complete_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 239 [] lower_bounded_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 240 [] upper_bounded_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=2): 241 [] bounded_relstr($c12).
% 2.54/2.76 ** KEPT (pick-wt=7): 242 [] empty(A)|element($f13(A),powerset(A)).
% 2.54/2.76 ** KEPT (pick-wt=5): 243 [] empty(A)|finite($f13(A)).
% 2.54/2.76 ** KEPT (pick-wt=2): 244 [] relation($c13).
% 2.82/2.99 ** KEPT (pick-wt=2): 245 [] relation_empty_yielding($c13).
% 2.82/2.99 ** KEPT (pick-wt=2): 246 [] one_sorted_str($c14).
% 2.82/2.99 ** KEPT (pick-wt=7): 247 [] empty(A)|element($f15(A),powerset(A)).
% 2.82/2.99 ** KEPT (pick-wt=5): 248 [] empty(A)|finite($f15(A)).
% 2.82/2.99 ** KEPT (pick-wt=2): 249 [] rel_str($c15).
% 2.82/2.99 ** KEPT (pick-wt=2): 250 [] strict_rel_str($c15).
% 2.82/2.99 ** KEPT (pick-wt=2): 251 [] transitive_relstr($c15).
% 2.82/2.99 ** KEPT (pick-wt=2): 252 [] directed_relstr($c15).
% 2.82/2.99 ** KEPT (pick-wt=3): 253 [] subset(A,A).
% 2.82/2.99 ** KEPT (pick-wt=2): 254 [] one_sorted_str($c18).
% 2.82/2.99 ** KEPT (pick-wt=3): 255 [] net_str($c17,$c18).
% 2.82/2.99 ** KEPT (pick-wt=9): 256 [] in($c16,filter_of_net_str($c18,$c17))|is_eventually_in($c18,$c17,$c16).
% 2.82/2.99 ** KEPT (pick-wt=10): 257 [] in($c16,filter_of_net_str($c18,$c17))|element($c16,powerset(the_carrier($c18))).
% 2.82/2.99 ** KEPT (pick-wt=13): 258 [] in($f20(A,B),A)|in($f20(A,B),B)|A=B.
% 2.82/2.99 Following clause subsumed by 141 during input processing: 0 [copy,141,flip.1] A=A.
% 2.82/2.99 141 back subsumes 140.
% 2.82/2.99 141 back subsumes 139.
% 2.82/2.99
% 2.82/2.99 ======= end of input processing =======
% 2.82/2.99
% 2.82/2.99 =========== start of search ===========
% 2.82/2.99
% 2.82/2.99
% 2.82/2.99 Resetting weight limit to 3.
% 2.82/2.99
% 2.82/2.99
% 2.82/2.99 Resetting weight limit to 3.
% 2.82/2.99
% 2.82/2.99 sos_size=743
% 2.82/2.99
% 2.82/2.99 Search stopped because sos empty.
% 2.82/2.99
% 2.82/2.99
% 2.82/2.99 Search stopped because sos empty.
% 2.82/2.99
% 2.82/2.99 ============ end of search ============
% 2.82/2.99
% 2.82/2.99 -------------- statistics -------------
% 2.82/2.99 clauses given 874
% 2.82/2.99 clauses generated 22093
% 2.82/2.99 clauses kept 1057
% 2.82/2.99 clauses forward subsumed 606
% 2.82/2.99 clauses back subsumed 5
% 2.82/2.99 Kbytes malloced 5859
% 2.82/2.99
% 2.82/2.99 ----------- times (seconds) -----------
% 2.82/2.99 user CPU time 0.24 (0 hr, 0 min, 0 sec)
% 2.82/2.99 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.82/2.99 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 2.82/2.99
% 2.82/2.99 Process 30368 finished Wed Jul 27 07:57:34 2022
% 2.82/2.99 Otter interrupted
% 2.82/2.99 PROOF NOT FOUND
%------------------------------------------------------------------------------