TSTP Solution File: SEU387+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.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 13:16:01 EDT 2022
% Result : Unknown 3.10s 3.28s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.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 07:05:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.43/2.63 ----- Otter 3.3f, August 2004 -----
% 2.43/2.63 The process was started by sandbox on n017.cluster.edu,
% 2.43/2.63 Wed Jul 27 07:05:18 2022
% 2.43/2.63 The command was "./otter". The process ID is 17042.
% 2.43/2.63
% 2.43/2.63 set(prolog_style_variables).
% 2.43/2.63 set(auto).
% 2.43/2.63 dependent: set(auto1).
% 2.43/2.63 dependent: set(process_input).
% 2.43/2.63 dependent: clear(print_kept).
% 2.43/2.63 dependent: clear(print_new_demod).
% 2.43/2.63 dependent: clear(print_back_demod).
% 2.43/2.63 dependent: clear(print_back_sub).
% 2.43/2.63 dependent: set(control_memory).
% 2.43/2.63 dependent: assign(max_mem, 12000).
% 2.43/2.63 dependent: assign(pick_given_ratio, 4).
% 2.43/2.63 dependent: assign(stats_level, 1).
% 2.43/2.63 dependent: assign(max_seconds, 10800).
% 2.43/2.63 clear(print_given).
% 2.43/2.63
% 2.43/2.63 formula_list(usable).
% 2.43/2.63 all A (A=A).
% 2.43/2.63 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 2.43/2.63 all A B (in(A,B)-> -in(B,A)).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 all A (empty(A)->finite(A)).
% 2.43/2.63 all A (rel_str(A)-> (with_suprema_relstr(A)-> -empty_carrier(A))).
% 2.43/2.63 all A (empty(A)->relation(A)).
% 2.43/2.63 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.43/2.63 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 2.43/2.63 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.43/2.63 all A (rel_str(A)-> (with_infima_relstr(A)-> -empty_carrier(A))).
% 2.43/2.63 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))).
% 2.43/2.63 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&bounded_relstr(A))).
% 2.43/2.63 all A (rel_str(A)-> (bounded_relstr(A)->lower_bounded_relstr(A)&upper_bounded_relstr(A))).
% 2.43/2.63 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&trivial_carrier(A)-> -empty_carrier(A)&reflexive_relstr(A)&connected_relstr(A))).
% 2.43/2.63 all A (rel_str(A)-> (lower_bounded_relstr(A)&upper_bounded_relstr(A)->bounded_relstr(A))).
% 2.43/2.63 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))).
% 2.43/2.63 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 2.43/2.63 $T.
% 2.43/2.63 $T.
% 2.43/2.63 $T.
% 2.43/2.63 all A (rel_str(A)->element(bottom_of_relstr(A),the_carrier(A))).
% 2.43/2.63 all A (strict_rel_str(boole_POSet(A))&rel_str(boole_POSet(A))).
% 2.43/2.63 all A (rel_str(A)->one_sorted_str(A)).
% 2.43/2.63 $T.
% 2.43/2.63 $T.
% 2.43/2.63 $T.
% 2.43/2.63 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.43/2.63 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.43/2.63 $T.
% 2.43/2.63 exists A rel_str(A).
% 2.43/2.63 exists A one_sorted_str(A).
% 2.43/2.63 all A B exists C relation_of2(C,A,B).
% 2.43/2.63 all A exists B element(B,A).
% 2.43/2.63 all A B exists C relation_of2_as_subset(C,A,B).
% 2.43/2.63 empty(empty_set).
% 2.43/2.63 relation(empty_set).
% 2.43/2.63 relation_empty_yielding(empty_set).
% 2.43/2.63 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 2.43/2.63 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.43/2.63 all A (-empty(powerset(A))).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 empty(empty_set).
% 2.43/2.63 relation(empty_set).
% 2.43/2.63 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 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))).
% 2.43/2.63 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)))).
% 2.43/2.63 exists A (rel_str(A)& -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&connected_relstr(A)).
% 2.43/2.63 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)).
% 2.43/2.63 exists A (-empty(A)&finite(A)).
% 2.43/2.63 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A)).
% 2.43/2.63 exists A (empty(A)&relation(A)).
% 2.43/2.63 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.43/2.63 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)).
% 2.43/2.63 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)).
% 2.43/2.63 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)).
% 2.43/2.63 exists A (-empty(A)&relation(A)).
% 2.43/2.63 all A exists B (element(B,powerset(A))&empty(B)).
% 2.43/2.63 all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 2.43/2.63 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)).
% 2.43/2.63 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.43/2.63 exists A (relation(A)&relation_empty_yielding(A)).
% 2.43/2.63 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.43/2.63 all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 2.43/2.63 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.43/2.63 all A (-empty_carrier(A)& -trivial_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&upper_bounded_relstr(A)&rel_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)&proper_element(B,powerset(the_carrier(A)))&filtered_subset(B,A)&upper_relstr_subset(B,A)))).
% 2.43/2.63 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&transitive_relstr(A)&directed_relstr(A)).
% 2.43/2.63 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.43/2.63 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.43/2.63 all A B subset(A,A).
% 2.43/2.63 all A (bottom_of_relstr(boole_POSet(A))=empty_set).
% 2.43/2.63 all A B (in(A,B)->element(A,B)).
% 2.43/2.63 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.43/2.63 -(all A (-empty(A)-> (all B (-empty(B)&filtered_subset(B,boole_POSet(A))&upper_relstr_subset(B,boole_POSet(A))&proper_element(B,powerset(the_carrier(boole_POSet(A))))&element(B,powerset(the_carrier(boole_POSet(A))))-> (all C (-(in(C,B)&empty(C)))))))).
% 2.43/2.63 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.43/2.63 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.43/2.63 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.43/2.63 all A (empty(A)->A=empty_set).
% 2.43/2.63 all A B (-(in(A,B)&empty(B))).
% 2.43/2.63 all A B (-(empty(A)&A!=B&empty(B))).
% 2.43/2.63 all A (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&lower_bounded_relstr(A)&rel_str(A)-> (all B (-empty(B)&filtered_subset(B,A)&upper_relstr_subset(B,A)&element(B,powerset(the_carrier(A)))-> (proper_element(B,powerset(the_carrier(A)))<-> -in(bottom_of_relstr(A),B))))).
% 2.43/2.63 end_of_list.
% 2.43/2.63
% 2.43/2.63 -------> usable clausifies to:
% 2.43/2.63
% 2.43/2.63 list(usable).
% 2.43/2.63 0 [] A=A.
% 2.43/2.63 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 2.43/2.63 0 [] -in(A,B)| -in(B,A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.43/2.63 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).
% 2.43/2.63 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).
% 2.43/2.63 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).
% 2.43/2.63 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).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 2.43/2.63 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).
% 2.43/2.63 0 [] -empty(A)|finite(A).
% 2.43/2.63 0 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.43/2.63 0 [] -empty(A)|relation(A).
% 2.43/2.63 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.43/2.63 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.43/2.63 0 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.43/2.63 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 2.43/2.63 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.43/2.63 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.43/2.63 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 2.43/2.63 0 [] $T.
% 2.43/2.63 0 [] $T.
% 2.43/2.63 0 [] $T.
% 2.43/2.63 0 [] -rel_str(A)|element(bottom_of_relstr(A),the_carrier(A)).
% 2.43/2.63 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.63 0 [] rel_str(boole_POSet(A)).
% 2.43/2.63 0 [] -rel_str(A)|one_sorted_str(A).
% 2.43/2.63 0 [] $T.
% 2.43/2.63 0 [] $T.
% 2.43/2.63 0 [] $T.
% 2.43/2.63 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.43/2.63 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.43/2.63 0 [] $T.
% 2.43/2.63 0 [] rel_str($c1).
% 2.43/2.63 0 [] one_sorted_str($c2).
% 2.43/2.63 0 [] relation_of2($f1(A,B),A,B).
% 2.43/2.63 0 [] element($f2(A),A).
% 2.43/2.63 0 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.43/2.63 0 [] empty(empty_set).
% 2.43/2.63 0 [] relation(empty_set).
% 2.43/2.63 0 [] relation_empty_yielding(empty_set).
% 2.43/2.63 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.43/2.63 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.43/2.63 0 [] -empty(powerset(A)).
% 2.43/2.63 0 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.63 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.63 0 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] up_complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] join_complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] -v1_yellow_3(boole_POSet(A)).
% 2.43/2.63 0 [] distributive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] heyting_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] complemented_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] boolean_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] with_infima_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] empty(empty_set).
% 2.43/2.63 0 [] relation(empty_set).
% 2.43/2.63 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.43/2.63 0 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.63 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.63 0 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.63 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.63 0 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] with_infima_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.63 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.63 0 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] bounded_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] directed_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] up_complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] join_complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] -v1_yellow_3(boole_POSet(A)).
% 2.43/2.63 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] with_infima_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] complete_relstr(boole_POSet(A)).
% 2.43/2.63 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 2.43/2.63 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 2.43/2.63 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f4(A),powerset(the_carrier(A))).
% 2.43/2.63 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f4(A)).
% 2.43/2.63 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f4(A),A).
% 2.43/2.63 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f4(A),A).
% 2.43/2.63 0 [] rel_str($c3).
% 2.43/2.63 0 [] -empty_carrier($c3).
% 2.43/2.63 0 [] reflexive_relstr($c3).
% 2.43/2.63 0 [] transitive_relstr($c3).
% 2.43/2.63 0 [] antisymmetric_relstr($c3).
% 2.43/2.63 0 [] connected_relstr($c3).
% 2.43/2.63 0 [] rel_str($c4).
% 2.43/2.63 0 [] -empty_carrier($c4).
% 2.43/2.63 0 [] strict_rel_str($c4).
% 2.43/2.63 0 [] reflexive_relstr($c4).
% 2.43/2.63 0 [] transitive_relstr($c4).
% 2.43/2.63 0 [] antisymmetric_relstr($c4).
% 2.43/2.63 0 [] with_suprema_relstr($c4).
% 2.43/2.63 0 [] with_infima_relstr($c4).
% 2.43/2.63 0 [] complete_relstr($c4).
% 2.43/2.63 0 [] lower_bounded_relstr($c4).
% 2.43/2.63 0 [] upper_bounded_relstr($c4).
% 2.43/2.63 0 [] bounded_relstr($c4).
% 2.43/2.63 0 [] up_complete_relstr($c4).
% 2.43/2.63 0 [] join_complete_relstr($c4).
% 2.43/2.63 0 [] -empty($c5).
% 2.43/2.63 0 [] finite($c5).
% 2.43/2.63 0 [] rel_str($c6).
% 2.43/2.63 0 [] -empty_carrier($c6).
% 2.43/2.63 0 [] strict_rel_str($c6).
% 2.43/2.63 0 [] reflexive_relstr($c6).
% 2.43/2.63 0 [] transitive_relstr($c6).
% 2.43/2.63 0 [] antisymmetric_relstr($c6).
% 2.43/2.63 0 [] complete_relstr($c6).
% 2.43/2.63 0 [] empty($c7).
% 2.43/2.63 0 [] relation($c7).
% 2.43/2.63 0 [] empty(A)|element($f5(A),powerset(A)).
% 2.43/2.63 0 [] empty(A)| -empty($f5(A)).
% 2.43/2.63 0 [] rel_str($c8).
% 2.43/2.63 0 [] -empty_carrier($c8).
% 2.43/2.63 0 [] -trivial_carrier($c8).
% 2.43/2.63 0 [] strict_rel_str($c8).
% 2.43/2.63 0 [] reflexive_relstr($c8).
% 2.43/2.63 0 [] transitive_relstr($c8).
% 2.43/2.63 0 [] antisymmetric_relstr($c8).
% 2.43/2.63 0 [] lower_bounded_relstr($c8).
% 2.43/2.63 0 [] upper_bounded_relstr($c8).
% 2.43/2.63 0 [] bounded_relstr($c8).
% 2.43/2.63 0 [] -v1_yellow_3($c8).
% 2.43/2.63 0 [] distributive_relstr($c8).
% 2.43/2.63 0 [] heyting_relstr($c8).
% 2.43/2.63 0 [] complemented_relstr($c8).
% 2.43/2.63 0 [] boolean_relstr($c8).
% 2.43/2.63 0 [] with_suprema_relstr($c8).
% 2.43/2.63 0 [] with_infima_relstr($c8).
% 2.43/2.63 0 [] rel_str($c9).
% 2.43/2.63 0 [] -empty_carrier($c9).
% 2.43/2.63 0 [] strict_rel_str($c9).
% 2.43/2.63 0 [] reflexive_relstr($c9).
% 2.43/2.63 0 [] transitive_relstr($c9).
% 2.43/2.63 0 [] antisymmetric_relstr($c9).
% 2.43/2.63 0 [] with_suprema_relstr($c9).
% 2.43/2.63 0 [] with_infima_relstr($c9).
% 2.43/2.63 0 [] complete_relstr($c9).
% 2.43/2.63 0 [] trivial_carrier($c9).
% 2.43/2.63 0 [] rel_str($c10).
% 2.43/2.63 0 [] -empty_carrier($c10).
% 2.43/2.63 0 [] strict_rel_str($c10).
% 2.43/2.63 0 [] reflexive_relstr($c10).
% 2.43/2.63 0 [] transitive_relstr($c10).
% 2.43/2.63 0 [] antisymmetric_relstr($c10).
% 2.43/2.63 0 [] with_suprema_relstr($c10).
% 2.43/2.63 0 [] with_infima_relstr($c10).
% 2.43/2.63 0 [] complete_relstr($c10).
% 2.43/2.63 0 [] -empty($c11).
% 2.43/2.63 0 [] relation($c11).
% 2.43/2.63 0 [] element($f6(A),powerset(A)).
% 2.43/2.63 0 [] empty($f6(A)).
% 2.43/2.63 0 [] element($f7(A),powerset(powerset(A))).
% 2.43/2.63 0 [] -empty($f7(A)).
% 2.43/2.63 0 [] finite($f7(A)).
% 2.43/2.63 0 [] rel_str($c12).
% 2.43/2.63 0 [] -empty_carrier($c12).
% 2.43/2.63 0 [] reflexive_relstr($c12).
% 2.43/2.63 0 [] transitive_relstr($c12).
% 2.43/2.63 0 [] antisymmetric_relstr($c12).
% 2.43/2.63 0 [] with_suprema_relstr($c12).
% 2.43/2.63 0 [] with_infima_relstr($c12).
% 2.43/2.63 0 [] complete_relstr($c12).
% 2.43/2.63 0 [] lower_bounded_relstr($c12).
% 2.43/2.63 0 [] upper_bounded_relstr($c12).
% 2.43/2.63 0 [] bounded_relstr($c12).
% 2.43/2.63 0 [] empty(A)|element($f8(A),powerset(A)).
% 2.43/2.63 0 [] empty(A)| -empty($f8(A)).
% 2.43/2.63 0 [] empty(A)|finite($f8(A)).
% 2.43/2.63 0 [] relation($c13).
% 2.43/2.63 0 [] relation_empty_yielding($c13).
% 2.43/2.63 0 [] one_sorted_str($c14).
% 2.43/2.63 0 [] -empty_carrier($c14).
% 2.43/2.63 0 [] -one_sorted_str(A)|element($f9(A),powerset(powerset(the_carrier(A)))).
% 2.43/2.63 0 [] -one_sorted_str(A)| -empty($f9(A)).
% 2.43/2.63 0 [] -one_sorted_str(A)|finite($f9(A)).
% 2.43/2.63 0 [] empty(A)|element($f10(A),powerset(A)).
% 2.43/2.63 0 [] empty(A)| -empty($f10(A)).
% 2.43/2.63 0 [] empty(A)|finite($f10(A)).
% 2.43/2.63 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f11(A),powerset(the_carrier(A))).
% 2.43/2.63 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f11(A)).
% 2.43/2.63 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f11(A),powerset(the_carrier(A))).
% 2.43/2.63 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|filtered_subset($f11(A),A).
% 2.43/2.63 0 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|upper_relstr_subset($f11(A),A).
% 2.43/2.63 0 [] rel_str($c15).
% 2.43/2.63 0 [] -empty_carrier($c15).
% 2.43/2.63 0 [] strict_rel_str($c15).
% 2.43/2.63 0 [] transitive_relstr($c15).
% 2.43/2.63 0 [] directed_relstr($c15).
% 2.43/2.63 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f12(A),powerset(the_carrier(A))).
% 2.43/2.63 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f12(A)).
% 2.43/2.63 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.43/2.63 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.43/2.63 0 [] subset(A,A).
% 2.43/2.63 0 [] bottom_of_relstr(boole_POSet(A))=empty_set.
% 2.43/2.63 0 [] -in(A,B)|element(A,B).
% 2.43/2.63 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.43/2.63 0 [] -empty($c18).
% 2.43/2.63 0 [] -empty($c17).
% 2.43/2.63 0 [] filtered_subset($c17,boole_POSet($c18)).
% 2.43/2.63 0 [] upper_relstr_subset($c17,boole_POSet($c18)).
% 2.43/2.63 0 [] proper_element($c17,powerset(the_carrier(boole_POSet($c18)))).
% 2.43/2.63 0 [] element($c17,powerset(the_carrier(boole_POSet($c18)))).
% 2.43/2.63 0 [] in($c16,$c17).
% 2.43/2.63 0 [] empty($c16).
% 2.43/2.63 0 [] -element(A,powerset(B))|subset(A,B).
% 2.43/2.63 0 [] element(A,powerset(B))| -subset(A,B).
% 2.43/2.63 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.43/2.63 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.43/2.63 0 [] -empty(A)|A=empty_set.
% 2.43/2.63 0 [] -in(A,B)| -empty(B).
% 2.43/2.63 0 [] -empty(A)|A=B| -empty(B).
% 2.43/2.63 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -lower_bounded_relstr(A)| -rel_str(A)|empty(B)| -filtered_subset(B,A)| -upper_relstr_subset(B,A)| -element(B,powerset(the_carrier(A)))| -proper_element(B,powerset(the_carrier(A)))| -in(bottom_of_relstr(A),B).
% 2.43/2.63 0 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -lower_bounded_relstr(A)| -rel_str(A)|empty(B)| -filtered_subset(B,A)| -upper_relstr_subset(B,A)| -element(B,powerset(the_carrier(A)))|proper_element(B,powerset(the_carrier(A)))|in(bottom_of_relstr(A),B).
% 2.43/2.63 end_of_list.
% 2.43/2.63
% 2.43/2.63 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 2.43/2.63
% 2.43/2.63 This ia a non-Horn set with equality. The strategy will be
% 2.43/2.63 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.43/2.63 deletion, with positive clauses in sos and nonpositive
% 2.43/2.63 clauses in usable.
% 2.43/2.63
% 2.43/2.63 dependent: set(knuth_bendix).
% 2.43/2.63 dependent: set(anl_eq).
% 2.43/2.63 dependent: set(para_from).
% 2.43/2.63 dependent: set(para_into).
% 2.43/2.63 dependent: clear(para_from_right).
% 2.43/2.63 dependent: clear(para_into_right).
% 2.43/2.63 dependent: set(para_from_vars).
% 2.43/2.63 dependent: set(eq_units_both_ways).
% 2.43/2.63 dependent: set(dynamic_demod_all).
% 2.43/2.63 dependent: set(dynamic_demod).
% 2.43/2.63 dependent: set(order_eq).
% 2.43/2.63 dependent: set(back_demod).
% 2.43/2.63 dependent: set(lrpo).
% 2.43/2.63 dependent: set(hyper_res).
% 2.43/2.63 dependent: set(unit_deletion).
% 2.43/2.63 dependent: set(factor).
% 2.43/2.63
% 2.43/2.63 ------------> process usable:
% 2.43/2.63 ** 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.
% 2.43/2.63 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.43/2.63 ** KEPT (pick-wt=10): 4 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 2.43/2.63 ** KEPT (pick-wt=10): 5 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=10): 6 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.43/2.64 ** 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).
% 2.43/2.64 ** 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).
% 2.43/2.64 ** 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).
% 2.43/2.64 ** 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).
% 2.43/2.64 ** 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).
% 2.43/2.64 ** 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).
% 2.43/2.64 ** KEPT (pick-wt=4): 13 [] -empty(A)|finite(A).
% 2.43/2.64 ** KEPT (pick-wt=6): 14 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.43/2.64 ** KEPT (pick-wt=4): 15 [] -empty(A)|relation(A).
% 2.43/2.64 ** KEPT (pick-wt=8): 16 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.43/2.64 ** KEPT (pick-wt=8): 17 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=8): 18 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=8): 19 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.43/2.64 ** KEPT (pick-wt=6): 20 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.43/2.64 ** KEPT (pick-wt=10): 21 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=10): 22 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=10): 23 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=8): 24 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=6): 25 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=6): 26 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=10): 27 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|connected_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=8): 28 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.43/2.64 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).
% 2.43/2.64 ** KEPT (pick-wt=10): 29 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.43/2.64 ** KEPT (pick-wt=8): 30 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 2.43/2.64 ** KEPT (pick-wt=8): 31 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 2.43/2.64 ** KEPT (pick-wt=7): 32 [] -rel_str(A)|element(bottom_of_relstr(A),the_carrier(A)).
% 2.43/2.64 ** KEPT (pick-wt=4): 33 [] -rel_str(A)|one_sorted_str(A).
% 2.43/2.64 ** KEPT (pick-wt=10): 34 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.43/2.64 ** KEPT (pick-wt=9): 35 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.43/2.64 ** KEPT (pick-wt=8): 36 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.43/2.64 ** KEPT (pick-wt=7): 37 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 38 [] -empty(powerset(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 39 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 40 [] -v1_yellow_3(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 39 during input processing: 0 [] empty(A)| -empty_carrier(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=5): 41 [] empty(A)| -trivial_carrier(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 40 during input processing: 0 [] empty(A)| -v1_yellow_3(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=8): 42 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.43/2.64 Following clause subsumed by 39 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 39 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 39 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 40 during input processing: 0 [] -v1_yellow_3(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=14): 43 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 2.43/2.64 ** KEPT (pick-wt=14): 44 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 2.43/2.64 ** KEPT (pick-wt=14): 45 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|element($f4(A),powerset(the_carrier(A))).
% 2.43/2.64 ** KEPT (pick-wt=11): 46 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)| -empty($f4(A)).
% 2.43/2.64 ** KEPT (pick-wt=12): 47 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|filtered_subset($f4(A),A).
% 2.43/2.64 ** KEPT (pick-wt=12): 48 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -rel_str(A)|upper_relstr_subset($f4(A),A).
% 2.43/2.64 ** KEPT (pick-wt=2): 49 [] -empty_carrier($c3).
% 2.43/2.64 ** KEPT (pick-wt=2): 50 [] -empty_carrier($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 51 [] -empty($c5).
% 2.43/2.64 ** KEPT (pick-wt=2): 52 [] -empty_carrier($c6).
% 2.43/2.64 ** KEPT (pick-wt=5): 53 [] empty(A)| -empty($f5(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 54 [] -empty_carrier($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 55 [] -trivial_carrier($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 56 [] -v1_yellow_3($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 57 [] -empty_carrier($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 58 [] -empty_carrier($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 59 [] -empty($c11).
% 2.43/2.64 ** KEPT (pick-wt=3): 60 [] -empty($f7(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 61 [] -empty_carrier($c12).
% 2.43/2.64 ** KEPT (pick-wt=5): 62 [] empty(A)| -empty($f8(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 63 [] -empty_carrier($c14).
% 2.43/2.64 ** KEPT (pick-wt=9): 64 [] -one_sorted_str(A)|element($f9(A),powerset(powerset(the_carrier(A)))).
% 2.43/2.64 ** KEPT (pick-wt=5): 65 [] -one_sorted_str(A)| -empty($f9(A)).
% 2.43/2.64 ** KEPT (pick-wt=5): 66 [] -one_sorted_str(A)|finite($f9(A)).
% 2.43/2.64 ** KEPT (pick-wt=5): 67 [] empty(A)| -empty($f10(A)).
% 2.43/2.64 ** KEPT (pick-wt=20): 68 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|element($f11(A),powerset(the_carrier(A))).
% 2.43/2.64 ** KEPT (pick-wt=17): 69 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)| -empty($f11(A)).
% 2.43/2.64 ** KEPT (pick-wt=20): 70 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|proper_element($f11(A),powerset(the_carrier(A))).
% 2.43/2.64 ** KEPT (pick-wt=18): 71 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|filtered_subset($f11(A),A).
% 2.43/2.64 ** KEPT (pick-wt=18): 72 [] empty_carrier(A)|trivial_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -rel_str(A)|upper_relstr_subset($f11(A),A).
% 2.43/2.64 ** KEPT (pick-wt=2): 73 [] -empty_carrier($c15).
% 2.43/2.64 ** KEPT (pick-wt=10): 74 [] empty_carrier(A)| -one_sorted_str(A)|element($f12(A),powerset(the_carrier(A))).
% 2.43/2.64 ** KEPT (pick-wt=7): 75 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f12(A)).
% 2.43/2.64 ** KEPT (pick-wt=8): 76 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.43/2.64 ** KEPT (pick-wt=8): 77 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.43/2.64 ** KEPT (pick-wt=6): 78 [] -in(A,B)|element(A,B).
% 2.43/2.64 ** KEPT (pick-wt=8): 79 [] -element(A,B)|empty(B)|in(A,B).
% 2.43/2.64 ** KEPT (pick-wt=2): 80 [] -empty($c18).
% 2.43/2.64 ** KEPT (pick-wt=2): 81 [] -empty($c17).
% 2.43/2.64 ** KEPT (pick-wt=7): 82 [] -element(A,powerset(B))|subset(A,B).
% 2.43/2.64 ** KEPT (pick-wt=7): 83 [] element(A,powerset(B))| -subset(A,B).
% 2.43/2.64 ** KEPT (pick-wt=10): 84 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.43/2.64 ** KEPT (pick-wt=9): 85 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.43/2.64 ** KEPT (pick-wt=5): 86 [] -empty(A)|A=empty_set.
% 2.43/2.64 ** KEPT (pick-wt=5): 87 [] -in(A,B)| -empty(B).
% 2.43/2.64 ** KEPT (pick-wt=7): 88 [] -empty(A)|A=B| -empty(B).
% 2.43/2.64 ** KEPT (pick-wt=34): 89 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -lower_bounded_relstr(A)| -rel_str(A)|empty(B)| -filtered_subset(B,A)| -upper_relstr_subset(B,A)| -element(B,powerset(the_carrier(A)))| -proper_element(B,powerset(the_carrier(A)))| -in(bottom_of_relstr(A),B).
% 2.43/2.64 ** KEPT (pick-wt=34): 90 [] empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -lower_bounded_relstr(A)| -rel_str(A)|empty(B)| -filtered_subset(B,A)| -upper_relstr_subset(B,A)| -element(B,powerset(the_carrier(A)))|proper_element(B,powerset(the_carrier(A)))|in(bottom_of_relstr(A),B).
% 2.43/2.64 29 back subsumes 9.
% 2.43/2.64
% 2.43/2.64 ------------> process sos:
% 2.43/2.64 ** KEPT (pick-wt=3): 95 [] A=A.
% 2.43/2.64 ** KEPT (pick-wt=3): 96 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 97 [] rel_str(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 98 [] rel_str($c1).
% 2.43/2.64 ** KEPT (pick-wt=2): 99 [] one_sorted_str($c2).
% 2.43/2.64 ** KEPT (pick-wt=6): 100 [] relation_of2($f1(A,B),A,B).
% 2.43/2.64 ** KEPT (pick-wt=4): 101 [] element($f2(A),A).
% 2.43/2.64 ** KEPT (pick-wt=6): 102 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.43/2.64 ** KEPT (pick-wt=2): 103 [] empty(empty_set).
% 2.43/2.64 ** KEPT (pick-wt=2): 104 [] relation(empty_set).
% 2.43/2.64 ** KEPT (pick-wt=2): 105 [] relation_empty_yielding(empty_set).
% 2.43/2.64 Following clause subsumed by 96 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 106 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 107 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 108 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 109 [] lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 110 [] upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 111 [] bounded_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 112 [] up_complete_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 113 [] join_complete_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 114 [] distributive_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 115 [] heyting_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 116 [] complemented_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 117 [] boolean_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 118 [] with_suprema_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 119 [] with_infima_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 120 [] complete_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 96 during input processing: 0 [] empty(A)|strict_rel_str(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 106 during input processing: 0 [] empty(A)|reflexive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 107 during input processing: 0 [] empty(A)|transitive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 108 during input processing: 0 [] empty(A)|antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 109 during input processing: 0 [] empty(A)|lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 110 during input processing: 0 [] empty(A)|upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 111 during input processing: 0 [] empty(A)|bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 112 during input processing: 0 [] empty(A)|up_complete_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 113 during input processing: 0 [] empty(A)|join_complete_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 114 during input processing: 0 [] empty(A)|distributive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 115 during input processing: 0 [] empty(A)|heyting_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 116 during input processing: 0 [] empty(A)|complemented_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 117 during input processing: 0 [] empty(A)|boolean_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 118 during input processing: 0 [] empty(A)|with_suprema_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 119 during input processing: 0 [] empty(A)|with_infima_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 120 during input processing: 0 [] empty(A)|complete_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 103 during input processing: 0 [] empty(empty_set).
% 2.43/2.64 Following clause subsumed by 104 during input processing: 0 [] relation(empty_set).
% 2.43/2.64 Following clause subsumed by 96 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 106 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 107 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 108 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 96 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 106 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 107 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 108 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 109 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 110 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 111 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 118 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 119 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 120 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 96 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 106 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 107 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 108 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 109 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 110 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 111 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 121 [] directed_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 112 during input processing: 0 [] up_complete_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 113 during input processing: 0 [] join_complete_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 118 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 119 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 2.43/2.64 Following clause subsumed by 120 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 122 [] rel_str($c3).
% 2.43/2.64 ** KEPT (pick-wt=2): 123 [] reflexive_relstr($c3).
% 2.43/2.64 ** KEPT (pick-wt=2): 124 [] transitive_relstr($c3).
% 2.43/2.64 ** KEPT (pick-wt=2): 125 [] antisymmetric_relstr($c3).
% 2.43/2.64 ** KEPT (pick-wt=2): 126 [] connected_relstr($c3).
% 2.43/2.64 ** KEPT (pick-wt=2): 127 [] rel_str($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 128 [] strict_rel_str($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 129 [] reflexive_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 130 [] transitive_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 131 [] antisymmetric_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 132 [] with_suprema_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 133 [] with_infima_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 134 [] complete_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 135 [] lower_bounded_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 136 [] upper_bounded_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 137 [] bounded_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 138 [] up_complete_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 139 [] join_complete_relstr($c4).
% 2.43/2.64 ** KEPT (pick-wt=2): 140 [] finite($c5).
% 2.43/2.64 ** KEPT (pick-wt=2): 141 [] rel_str($c6).
% 2.43/2.64 ** KEPT (pick-wt=2): 142 [] strict_rel_str($c6).
% 2.43/2.64 ** KEPT (pick-wt=2): 143 [] reflexive_relstr($c6).
% 2.43/2.64 ** KEPT (pick-wt=2): 144 [] transitive_relstr($c6).
% 2.43/2.64 ** KEPT (pick-wt=2): 145 [] antisymmetric_relstr($c6).
% 2.43/2.64 ** KEPT (pick-wt=2): 146 [] complete_relstr($c6).
% 2.43/2.64 ** KEPT (pick-wt=2): 147 [] empty($c7).
% 2.43/2.64 ** KEPT (pick-wt=2): 148 [] relation($c7).
% 2.43/2.64 ** KEPT (pick-wt=7): 149 [] empty(A)|element($f5(A),powerset(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 150 [] rel_str($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 151 [] strict_rel_str($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 152 [] reflexive_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 153 [] transitive_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 154 [] antisymmetric_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 155 [] lower_bounded_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 156 [] upper_bounded_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 157 [] bounded_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 158 [] distributive_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 159 [] heyting_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 160 [] complemented_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 161 [] boolean_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 162 [] with_suprema_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 163 [] with_infima_relstr($c8).
% 2.43/2.64 ** KEPT (pick-wt=2): 164 [] rel_str($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 165 [] strict_rel_str($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 166 [] reflexive_relstr($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 167 [] transitive_relstr($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 168 [] antisymmetric_relstr($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 169 [] with_suprema_relstr($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 170 [] with_infima_relstr($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 171 [] complete_relstr($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 172 [] trivial_carrier($c9).
% 2.43/2.64 ** KEPT (pick-wt=2): 173 [] rel_str($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 174 [] strict_rel_str($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 175 [] reflexive_relstr($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 176 [] transitive_relstr($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 177 [] antisymmetric_relstr($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 178 [] with_suprema_relstr($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 179 [] with_infima_relstr($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 180 [] complete_relstr($c10).
% 2.43/2.64 ** KEPT (pick-wt=2): 181 [] relation($c11).
% 2.43/2.64 ** KEPT (pick-wt=5): 182 [] element($f6(A),powerset(A)).
% 2.43/2.64 ** KEPT (pick-wt=3): 183 [] empty($f6(A)).
% 2.43/2.64 ** KEPT (pick-wt=6): 184 [] element($f7(A),powerset(powerset(A))).
% 2.43/2.64 ** KEPT (pick-wt=3): 185 [] finite($f7(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 186 [] rel_str($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 187 [] reflexive_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 188 [] transitive_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 189 [] antisymmetric_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 190 [] with_suprema_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 191 [] with_infima_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 192 [] complete_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 193 [] lower_bounded_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 194 [] upper_bounded_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=2): 195 [] bounded_relstr($c12).
% 2.43/2.64 ** KEPT (pick-wt=7): 196 [] empty(A)|element($f8(A),powerset(A)).
% 2.43/2.64 ** KEPT (pick-wt=5): 197 [] empty(A)|finite($f8(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 198 [] relation($c13).
% 2.43/2.64 ** KEPT (pick-wt=2): 199 [] relation_empty_yielding($c13).
% 2.43/2.64 ** KEPT (pick-wt=2): 200 [] one_sorted_str($c14).
% 2.43/2.64 ** KEPT (pick-wt=7): 201 [] empty(A)|element($f10(A),powerset(A)).
% 2.43/2.64 ** KEPT (pick-wt=5): 202 [] empty(A)|finite($f10(A)).
% 2.43/2.64 ** KEPT (pick-wt=2): 203 [] rel_str($c15).
% 2.43/2.64 ** KEPT (pick-wt=2): 204 [] strict_rel_str($c15).
% 2.43/2.64 ** KEPT (pick-wt=2): 205 [] transitive_relstr($c15).
% 2.43/2.64 ** KEPT (pick-wt=2): 206 [] directed_relstr($c15).
% 2.43/2.64 ** KEPT (pick-wt=3): 207 [] subset(A,A).
% 2.43/2.64 ** KEPT (pick-wt=5): 208 [] bottom_of_relstr(boole_POSet(A))=empty_set.
% 2.43/2.64 ---> New Demodulator: 209 [new_demod,208] bottom_of_relstr(boole_POSet(A))=empty_set.
% 2.43/2.64 ** KEPT (pick-wt=4): 210 [] filtered_subset($c17,boole_POSet($c18)).
% 2.43/2.64 ** KEPT (pick-wt=4): 211 [] upper_relstr_subset($c17,boole_POSet($c18)).
% 2.43/2.64 ** KEPT (pick-wt=6): 212 [] proper_element($c17,powerset(the_carrier(boole_POSet($c18)))).
% 2.43/2.64 ** KEPT (pick-wt=6): 213 [] element($c17,powerset(the_carrier(boole_POSet($c18)))).
% 2.43/2.64 ** KEPT (pick-wt=3): 214 [] in($c16,$c17).
% 2.43/2.64 ** KEPT (pick-wt=2): 215 [] empty($c16).
% 2.43/2.64 Following clause subsumed by 95 during input processing: 0 [copy,95,flip.1] A=A.
% 3.10/3.27 95 back subsumes 94.
% 3.10/3.27 >>>> Starting back demodulation with 209.
% 3.10/3.27
% 3.10/3.27 ======= end of input processing =======
% 3.10/3.27
% 3.10/3.27 =========== start of search ===========
% 3.10/3.27
% 3.10/3.27
% 3.10/3.27 Resetting weight limit to 4.
% 3.10/3.27
% 3.10/3.27
% 3.10/3.27 Resetting weight limit to 4.
% 3.10/3.27
% 3.10/3.27 sos_size=712
% 3.10/3.27
% 3.10/3.27 Search stopped because sos empty.
% 3.10/3.27
% 3.10/3.27
% 3.10/3.27 Search stopped because sos empty.
% 3.10/3.27
% 3.10/3.27 ============ end of search ============
% 3.10/3.27
% 3.10/3.27 -------------- statistics -------------
% 3.10/3.27 clauses given 988
% 3.10/3.27 clauses generated 75522
% 3.10/3.27 clauses kept 1177
% 3.10/3.27 clauses forward subsumed 1170
% 3.10/3.27 clauses back subsumed 3
% 3.10/3.27 Kbytes malloced 6835
% 3.10/3.27
% 3.10/3.27 ----------- times (seconds) -----------
% 3.10/3.27 user CPU time 0.64 (0 hr, 0 min, 0 sec)
% 3.10/3.27 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 3.10/3.27 wall-clock time 3 (0 hr, 0 min, 3 sec)
% 3.10/3.27
% 3.10/3.27 Process 17042 finished Wed Jul 27 07:05:21 2022
% 3.10/3.27 Otter interrupted
% 3.10/3.27 PROOF NOT FOUND
%------------------------------------------------------------------------------