TSTP Solution File: SEU382+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:59 EDT 2022
% Result : Unknown 6.93s 7.10s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU382+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n029.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 07:40:59 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.24/2.38 ----- Otter 3.3f, August 2004 -----
% 2.24/2.38 The process was started by sandbox on n029.cluster.edu,
% 2.24/2.38 Wed Jul 27 07:40:59 2022
% 2.24/2.38 The command was "./otter". The process ID is 18737.
% 2.24/2.38
% 2.24/2.38 set(prolog_style_variables).
% 2.24/2.38 set(auto).
% 2.24/2.38 dependent: set(auto1).
% 2.24/2.38 dependent: set(process_input).
% 2.24/2.38 dependent: clear(print_kept).
% 2.24/2.38 dependent: clear(print_new_demod).
% 2.24/2.38 dependent: clear(print_back_demod).
% 2.24/2.38 dependent: clear(print_back_sub).
% 2.24/2.38 dependent: set(control_memory).
% 2.24/2.38 dependent: assign(max_mem, 12000).
% 2.24/2.38 dependent: assign(pick_given_ratio, 4).
% 2.24/2.38 dependent: assign(stats_level, 1).
% 2.24/2.38 dependent: assign(max_seconds, 10800).
% 2.24/2.38 clear(print_given).
% 2.24/2.38
% 2.24/2.38 formula_list(usable).
% 2.24/2.38 all A (A=A).
% 2.24/2.38 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 2.24/2.38 all A B (in(A,B)-> -in(B,A)).
% 2.24/2.38 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))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&boolean_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&upper_bounded_relstr(A)&distributive_relstr(A)&heyting_relstr(A))).
% 2.24/2.38 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))).
% 2.24/2.38 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))).
% 2.24/2.38 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))).
% 2.24/2.38 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))).
% 2.24/2.38 all A (empty(A)->finite(A)).
% 2.24/2.38 all A (rel_str(A)-> (with_suprema_relstr(A)-> -empty_carrier(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&upper_bounded_relstr(A)&up_complete_relstr(A)&join_complete_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)&up_complete_relstr(A)&join_complete_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&complete_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (empty_carrier(A)->v1_yellow_3(A))).
% 2.24/2.38 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.24/2.38 all A (rel_str(A)-> (with_infima_relstr(A)-> -empty_carrier(A))).
% 2.24/2.38 all A (rel_str(A)-> (-v1_yellow_3(A)-> -empty_carrier(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&bounded_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)-> -empty_carrier(A)& -v1_yellow_3(A))).
% 2.24/2.38 all A (rel_str(A)-> (bounded_relstr(A)->lower_bounded_relstr(A)&upper_bounded_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&heyting_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (lower_bounded_relstr(A)&upper_bounded_relstr(A)->bounded_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&heyting_relstr(A)-> -empty_carrier(A)&distributive_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&heyting_relstr(A)-> -empty_carrier(A)&upper_bounded_relstr(A))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&boolean_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)&distributive_relstr(A)&complemented_relstr(A))).
% 2.24/2.38 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))).
% 2.24/2.38 all A (rel_str(A)-> (-empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&bounded_relstr(A)&distributive_relstr(A)&complemented_relstr(A)-> -empty_carrier(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&with_suprema_relstr(A)&with_infima_relstr(A)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)&distributive_relstr(A)&complemented_relstr(A)&boolean_relstr(A))).
% 2.24/2.38 all A (incl_POSet(A)=rel_str_of(A,inclusion_order(A))).
% 2.24/2.38 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 2.24/2.38 all A relation(inclusion_relation(A)).
% 2.24/2.38 $T.
% 2.24/2.38 all A (reflexive(inclusion_order(A))&antisymmetric(inclusion_order(A))&transitive(inclusion_order(A))&v1_partfun1(inclusion_order(A),A,A)&relation_of2_as_subset(inclusion_order(A),A,A)).
% 2.24/2.38 $T.
% 2.24/2.38 all A (strict_rel_str(incl_POSet(A))&rel_str(incl_POSet(A))).
% 2.24/2.38 $T.
% 2.24/2.38 all A (strict_rel_str(boole_POSet(A))&rel_str(boole_POSet(A))).
% 2.24/2.38 all A (rel_str(A)->one_sorted_str(A)).
% 2.24/2.38 $T.
% 2.24/2.38 $T.
% 2.24/2.38 $T.
% 2.24/2.38 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.24/2.38 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.24/2.38 $T.
% 2.24/2.38 exists A rel_str(A).
% 2.24/2.38 exists A one_sorted_str(A).
% 2.24/2.38 all A B exists C relation_of2(C,A,B).
% 2.24/2.38 all A exists B element(B,A).
% 2.24/2.38 all A B exists C relation_of2_as_subset(C,A,B).
% 2.24/2.38 all A (-v1_yellow_3(A)&rel_str(A)-> -empty(the_InternalRel(A))&relation(the_InternalRel(A))).
% 2.24/2.38 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 2.24/2.38 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.24/2.38 all A (-empty(powerset(A))).
% 2.24/2.38 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))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_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))&distributive_relstr(boole_POSet(A))).
% 2.24/2.38 empty(empty_set).
% 2.24/2.38 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.24/2.38 all A (strict_rel_str(incl_POSet(A))&reflexive_relstr(incl_POSet(A))&transitive_relstr(incl_POSet(A))&antisymmetric_relstr(incl_POSet(A))).
% 2.24/2.38 all A (-empty(A)-> -empty_carrier(incl_POSet(A))&strict_rel_str(incl_POSet(A))&reflexive_relstr(incl_POSet(A))&transitive_relstr(incl_POSet(A))&antisymmetric_relstr(incl_POSet(A))).
% 2.24/2.38 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))).
% 2.24/2.38 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))).
% 2.24/2.38 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))&with_suprema_relstr(boole_POSet(A))&with_infima_relstr(boole_POSet(A))&complete_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))&distributive_relstr(boole_POSet(A))&complemented_relstr(boole_POSet(A))).
% 2.24/2.38 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))).
% 2.24/2.38 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)).
% 2.24/2.38 exists A (-empty(A)&finite(A)).
% 2.24/2.38 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A)).
% 2.24/2.38 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.24/2.38 exists A empty(A).
% 2.24/2.38 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)& -v1_yellow_3(A)).
% 2.24/2.38 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)).
% 2.24/2.38 all A exists B (element(B,powerset(A))&empty(B)).
% 2.24/2.38 exists A (-empty(A)).
% 2.24/2.38 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)).
% 2.24/2.38 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.24/2.38 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.24/2.38 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.24/2.38 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)&lower_bounded_relstr(A)&upper_bounded_relstr(A)&bounded_relstr(A)&distributive_relstr(A)&heyting_relstr(A)&complemented_relstr(A)&boolean_relstr(A)).
% 2.24/2.38 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.24/2.38 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)&upper_bounded_relstr(A)&distributive_relstr(A)&heyting_relstr(A)).
% 2.24/2.38 all A (inclusion_order(A)=inclusion_relation(A)).
% 2.24/2.38 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.24/2.38 all A B subset(A,A).
% 2.24/2.38 all A B (in(A,B)->element(A,B)).
% 2.24/2.38 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.24/2.38 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.24/2.38 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.24/2.38 -(all A (the_carrier(boole_POSet(A))=powerset(A))).
% 2.24/2.38 all A (boole_POSet(A)=incl_POSet(powerset(A))).
% 2.24/2.38 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.24/2.38 all A (empty(A)->A=empty_set).
% 2.24/2.38 all A B (-(in(A,B)&empty(B))).
% 2.24/2.38 all A B (-(empty(A)&A!=B&empty(B))).
% 2.24/2.38 end_of_list.
% 2.24/2.38
% 2.24/2.38 -------> usable clausifies to:
% 2.24/2.38
% 2.24/2.38 list(usable).
% 2.24/2.38 0 [] A=A.
% 2.24/2.38 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 2.24/2.38 0 [] -in(A,B)| -in(B,A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|reflexive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|transitive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|antisymmetric_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|distributive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|heyting_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.38 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).
% 2.24/2.38 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).
% 2.24/2.38 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).
% 2.24/2.38 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).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 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).
% 2.24/2.38 0 [] -empty(A)|finite(A).
% 2.24/2.38 0 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|complete_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)| -empty_carrier(A)|v1_yellow_3(A).
% 2.24/2.38 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.24/2.38 0 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.24/2.38 0 [] -rel_str(A)|v1_yellow_3(A)| -empty_carrier(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -v1_yellow_3(A).
% 2.24/2.38 0 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|reflexive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|transitive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|antisymmetric_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|distributive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|reflexive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|transitive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|antisymmetric_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|distributive_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|complemented_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 2.24/2.38 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -bounded_relstr(A)| -distributive_relstr(A)| -complemented_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -bounded_relstr(A)| -distributive_relstr(A)| -complemented_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.38 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -bounded_relstr(A)| -distributive_relstr(A)| -complemented_relstr(A)|boolean_relstr(A).
% 2.24/2.38 0 [] incl_POSet(A)=rel_str_of(A,inclusion_order(A)).
% 2.24/2.38 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.24/2.38 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 2.24/2.38 0 [] relation(inclusion_relation(A)).
% 2.24/2.38 0 [] $T.
% 2.24/2.38 0 [] reflexive(inclusion_order(A)).
% 2.24/2.38 0 [] antisymmetric(inclusion_order(A)).
% 2.24/2.38 0 [] transitive(inclusion_order(A)).
% 2.24/2.38 0 [] v1_partfun1(inclusion_order(A),A,A).
% 2.24/2.38 0 [] relation_of2_as_subset(inclusion_order(A),A,A).
% 2.24/2.38 0 [] $T.
% 2.24/2.38 0 [] strict_rel_str(incl_POSet(A)).
% 2.24/2.38 0 [] rel_str(incl_POSet(A)).
% 2.24/2.38 0 [] $T.
% 2.24/2.38 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.38 0 [] rel_str(boole_POSet(A)).
% 2.24/2.38 0 [] -rel_str(A)|one_sorted_str(A).
% 2.24/2.38 0 [] $T.
% 2.24/2.38 0 [] $T.
% 2.24/2.38 0 [] $T.
% 2.24/2.38 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.24/2.38 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.24/2.38 0 [] $T.
% 2.24/2.38 0 [] rel_str($c1).
% 2.24/2.38 0 [] one_sorted_str($c2).
% 2.24/2.38 0 [] relation_of2($f1(A,B),A,B).
% 2.24/2.38 0 [] element($f2(A),A).
% 2.24/2.38 0 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.24/2.38 0 [] v1_yellow_3(A)| -rel_str(A)| -empty(the_InternalRel(A)).
% 2.24/2.38 0 [] v1_yellow_3(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.24/2.38 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.24/2.38 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.24/2.38 0 [] -empty(powerset(A)).
% 2.24/2.38 0 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.38 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.38 0 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] with_infima_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] complete_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] up_complete_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] join_complete_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] distributive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] empty(empty_set).
% 2.24/2.38 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.24/2.38 0 [] strict_rel_str(incl_POSet(A)).
% 2.24/2.38 0 [] reflexive_relstr(incl_POSet(A)).
% 2.24/2.38 0 [] transitive_relstr(incl_POSet(A)).
% 2.24/2.38 0 [] antisymmetric_relstr(incl_POSet(A)).
% 2.24/2.38 0 [] empty(A)| -empty_carrier(incl_POSet(A)).
% 2.24/2.38 0 [] empty(A)|strict_rel_str(incl_POSet(A)).
% 2.24/2.38 0 [] empty(A)|reflexive_relstr(incl_POSet(A)).
% 2.24/2.38 0 [] empty(A)|transitive_relstr(incl_POSet(A)).
% 2.24/2.38 0 [] empty(A)|antisymmetric_relstr(incl_POSet(A)).
% 2.24/2.38 0 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.38 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.38 0 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.38 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.38 0 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] with_infima_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] complete_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.38 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.38 0 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] with_infima_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] complete_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] bounded_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] up_complete_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] join_complete_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] distributive_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] complemented_relstr(boole_POSet(A)).
% 2.24/2.38 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 2.24/2.38 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 2.24/2.38 0 [] rel_str($c3).
% 2.24/2.38 0 [] -empty_carrier($c3).
% 2.24/2.38 0 [] strict_rel_str($c3).
% 2.24/2.38 0 [] reflexive_relstr($c3).
% 2.24/2.38 0 [] transitive_relstr($c3).
% 2.24/2.38 0 [] antisymmetric_relstr($c3).
% 2.24/2.38 0 [] with_suprema_relstr($c3).
% 2.24/2.38 0 [] with_infima_relstr($c3).
% 2.24/2.38 0 [] complete_relstr($c3).
% 2.24/2.38 0 [] lower_bounded_relstr($c3).
% 2.24/2.38 0 [] upper_bounded_relstr($c3).
% 2.24/2.38 0 [] bounded_relstr($c3).
% 2.24/2.38 0 [] up_complete_relstr($c3).
% 2.24/2.38 0 [] join_complete_relstr($c3).
% 2.24/2.38 0 [] -empty($c4).
% 2.24/2.38 0 [] finite($c4).
% 2.24/2.38 0 [] rel_str($c5).
% 2.24/2.38 0 [] -empty_carrier($c5).
% 2.24/2.38 0 [] strict_rel_str($c5).
% 2.24/2.38 0 [] reflexive_relstr($c5).
% 2.24/2.38 0 [] transitive_relstr($c5).
% 2.24/2.38 0 [] antisymmetric_relstr($c5).
% 2.24/2.38 0 [] complete_relstr($c5).
% 2.24/2.38 0 [] empty(A)|element($f4(A),powerset(A)).
% 2.24/2.38 0 [] empty(A)| -empty($f4(A)).
% 2.24/2.38 0 [] empty($c6).
% 2.24/2.38 0 [] rel_str($c7).
% 2.24/2.38 0 [] -empty_carrier($c7).
% 2.24/2.38 0 [] strict_rel_str($c7).
% 2.24/2.38 0 [] reflexive_relstr($c7).
% 2.24/2.38 0 [] transitive_relstr($c7).
% 2.24/2.38 0 [] antisymmetric_relstr($c7).
% 2.24/2.38 0 [] -v1_yellow_3($c7).
% 2.24/2.38 0 [] rel_str($c8).
% 2.24/2.38 0 [] -empty_carrier($c8).
% 2.24/2.38 0 [] strict_rel_str($c8).
% 2.24/2.38 0 [] reflexive_relstr($c8).
% 2.24/2.38 0 [] transitive_relstr($c8).
% 2.24/2.38 0 [] antisymmetric_relstr($c8).
% 2.24/2.38 0 [] with_suprema_relstr($c8).
% 2.24/2.38 0 [] with_infima_relstr($c8).
% 2.24/2.38 0 [] complete_relstr($c8).
% 2.24/2.38 0 [] element($f5(A),powerset(A)).
% 2.24/2.38 0 [] empty($f5(A)).
% 2.24/2.38 0 [] -empty($c9).
% 2.24/2.38 0 [] rel_str($c10).
% 2.24/2.38 0 [] -empty_carrier($c10).
% 2.24/2.38 0 [] reflexive_relstr($c10).
% 2.24/2.38 0 [] transitive_relstr($c10).
% 2.24/2.38 0 [] antisymmetric_relstr($c10).
% 2.24/2.38 0 [] with_suprema_relstr($c10).
% 2.24/2.38 0 [] with_infima_relstr($c10).
% 2.24/2.38 0 [] complete_relstr($c10).
% 2.24/2.38 0 [] lower_bounded_relstr($c10).
% 2.24/2.38 0 [] upper_bounded_relstr($c10).
% 2.24/2.38 0 [] bounded_relstr($c10).
% 2.24/2.38 0 [] empty(A)|element($f6(A),powerset(A)).
% 2.24/2.38 0 [] empty(A)| -empty($f6(A)).
% 2.24/2.38 0 [] empty(A)|finite($f6(A)).
% 2.24/2.38 0 [] one_sorted_str($c11).
% 2.24/2.38 0 [] -empty_carrier($c11).
% 2.24/2.38 0 [] empty(A)|element($f7(A),powerset(A)).
% 2.24/2.38 0 [] empty(A)| -empty($f7(A)).
% 2.24/2.38 0 [] empty(A)|finite($f7(A)).
% 2.24/2.38 0 [] rel_str($c12).
% 2.24/2.38 0 [] -empty_carrier($c12).
% 2.24/2.38 0 [] strict_rel_str($c12).
% 2.24/2.38 0 [] reflexive_relstr($c12).
% 2.24/2.38 0 [] transitive_relstr($c12).
% 2.24/2.38 0 [] antisymmetric_relstr($c12).
% 2.24/2.38 0 [] with_suprema_relstr($c12).
% 2.24/2.38 0 [] with_infima_relstr($c12).
% 2.24/2.38 0 [] lower_bounded_relstr($c12).
% 2.24/2.38 0 [] upper_bounded_relstr($c12).
% 2.24/2.38 0 [] bounded_relstr($c12).
% 2.24/2.38 0 [] distributive_relstr($c12).
% 2.24/2.38 0 [] heyting_relstr($c12).
% 2.24/2.38 0 [] complemented_relstr($c12).
% 2.24/2.38 0 [] boolean_relstr($c12).
% 2.24/2.38 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f8(A),powerset(the_carrier(A))).
% 2.24/2.38 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f8(A)).
% 2.24/2.38 0 [] rel_str($c13).
% 2.24/2.38 0 [] -empty_carrier($c13).
% 2.24/2.38 0 [] strict_rel_str($c13).
% 2.24/2.38 0 [] reflexive_relstr($c13).
% 2.24/2.38 0 [] transitive_relstr($c13).
% 2.24/2.38 0 [] antisymmetric_relstr($c13).
% 2.24/2.38 0 [] with_suprema_relstr($c13).
% 2.24/2.38 0 [] with_infima_relstr($c13).
% 2.24/2.38 0 [] upper_bounded_relstr($c13).
% 2.24/2.38 0 [] distributive_relstr($c13).
% 2.24/2.38 0 [] heyting_relstr($c13).
% 2.24/2.38 0 [] inclusion_order(A)=inclusion_relation(A).
% 2.24/2.38 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.24/2.38 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.24/2.38 0 [] subset(A,A).
% 2.24/2.38 0 [] -in(A,B)|element(A,B).
% 2.24/2.38 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.24/2.38 0 [] -element(A,powerset(B))|subset(A,B).
% 2.24/2.38 0 [] element(A,powerset(B))| -subset(A,B).
% 2.24/2.38 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.24/2.38 0 [] the_carrier(boole_POSet($c14))!=powerset($c14).
% 2.24/2.38 0 [] boole_POSet(A)=incl_POSet(powerset(A)).
% 2.24/2.38 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.24/2.38 0 [] -empty(A)|A=empty_set.
% 2.24/2.38 0 [] -in(A,B)| -empty(B).
% 2.24/2.38 0 [] -empty(A)|A=B| -empty(B).
% 2.24/2.38 end_of_list.
% 2.24/2.38
% 2.24/2.38 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=11.
% 2.24/2.38
% 2.24/2.38 This ia a non-Horn set with equality. The strategy will be
% 2.24/2.38 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.24/2.38 deletion, with positive clauses in sos and nonpositive
% 2.24/2.38 clauses in usable.
% 2.24/2.38
% 2.24/2.38 dependent: set(knuth_bendix).
% 2.24/2.38 dependent: set(anl_eq).
% 2.24/2.38 dependent: set(para_from).
% 2.24/2.38 dependent: set(para_into).
% 2.24/2.38 dependent: clear(para_from_right).
% 2.24/2.38 dependent: clear(para_into_right).
% 2.24/2.38 dependent: set(para_from_vars).
% 2.24/2.38 dependent: set(eq_units_both_ways).
% 2.24/2.38 dependent: set(dynamic_demod_all).
% 2.24/2.38 dependent: set(dynamic_demod).
% 2.24/2.38 dependent: set(order_eq).
% 2.24/2.38 dependent: set(back_demod).
% 2.24/2.38 dependent: set(lrpo).
% 2.24/2.38 dependent: set(hyper_res).
% 2.24/2.38 dependent: set(unit_deletion).
% 2.24/2.38 dependent: set(factor).
% 2.24/2.38
% 2.24/2.38 ------------> process usable:
% 2.24/2.38 ** 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.
% 2.24/2.38 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.24/2.38 ** KEPT (pick-wt=10): 4 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|up_complete_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=10): 5 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -complete_relstr(A)|join_complete_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 6 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|reflexive_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 7 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|transitive_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 8 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|antisymmetric_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 9 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 10 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 11 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 12 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|distributive_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 13 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|heyting_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=10): 14 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=18): 15 [] -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).
% 2.24/2.38 ** KEPT (pick-wt=18): 16 [] -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).
% 2.24/2.38 ** KEPT (pick-wt=18): 17 [] -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).
% 2.24/2.38 ** KEPT (pick-wt=18): 18 [] -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).
% 2.24/2.38 ** KEPT (pick-wt=12): 19 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=14): 20 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=4): 21 [] -empty(A)|finite(A).
% 2.24/2.38 ** KEPT (pick-wt=6): 22 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 23 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=8): 24 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.24/2.38 Following clause subsumed by 14 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.38 ** KEPT (pick-wt=18): 25 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|bounded_relstr(A).
% 2.24/2.38 Following clause subsumed by 20 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|with_suprema_relstr(A).
% 2.24/2.38 Following clause subsumed by 19 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|with_infima_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=18): 26 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -upper_bounded_relstr(A)| -up_complete_relstr(A)| -join_complete_relstr(A)|complete_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=6): 27 [] -rel_str(A)| -empty_carrier(A)|v1_yellow_3(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 28 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.24/2.39 ** KEPT (pick-wt=6): 29 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.24/2.39 Following clause subsumed by 27 during input processing: 0 [] -rel_str(A)|v1_yellow_3(A)| -empty_carrier(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 30 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 31 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -v1_yellow_3(A).
% 2.24/2.39 ** KEPT (pick-wt=6): 32 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=6): 33 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 34 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|reflexive_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 35 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|transitive_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 36 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|antisymmetric_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 37 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|with_suprema_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 38 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|with_infima_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 39 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 40 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|distributive_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 41 [] -rel_str(A)|empty_carrier(A)| -heyting_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.39 Following clause subsumed by 6 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|reflexive_relstr(A).
% 2.24/2.39 Following clause subsumed by 7 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|transitive_relstr(A).
% 2.24/2.39 Following clause subsumed by 8 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|antisymmetric_relstr(A).
% 2.24/2.39 Following clause subsumed by 9 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_suprema_relstr(A).
% 2.24/2.39 Following clause subsumed by 10 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|with_infima_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 42 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.39 Following clause subsumed by 11 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 43 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|bounded_relstr(A).
% 2.24/2.39 Following clause subsumed by 12 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|distributive_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 44 [] -rel_str(A)|empty_carrier(A)| -boolean_relstr(A)|complemented_relstr(A).
% 2.24/2.39 Following clause subsumed by 22 during input processing: 0 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)| -empty_carrier(A).
% 2.24/2.39 ** KEPT (pick-wt=10): 45 [] -rel_str(A)| -reflexive_relstr(A)| -with_suprema_relstr(A)| -up_complete_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.39 Following clause subsumed by 32 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -bounded_relstr(A)| -distributive_relstr(A)| -complemented_relstr(A)|lower_bounded_relstr(A).
% 2.24/2.39 Following clause subsumed by 33 during input processing: 0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -bounded_relstr(A)| -distributive_relstr(A)| -complemented_relstr(A)|upper_bounded_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=22): 46 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -with_suprema_relstr(A)| -with_infima_relstr(A)| -bounded_relstr(A)| -distributive_relstr(A)| -complemented_relstr(A)|boolean_relstr(A).
% 2.24/2.39 ** KEPT (pick-wt=8): 47 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 2.24/2.39 ** KEPT (pick-wt=8): 48 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 2.24/2.39 ** KEPT (pick-wt=4): 49 [] -rel_str(A)|one_sorted_str(A).
% 2.24/2.39 ** KEPT (pick-wt=10): 50 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.24/2.39 ** KEPT (pick-wt=9): 51 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.24/2.39 ** KEPT (pick-wt=7): 52 [] v1_yellow_3(A)| -rel_str(A)| -empty(the_InternalRel(A)).
% 2.24/2.39 ** KEPT (pick-wt=7): 53 [] v1_yellow_3(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.24/2.39 ** KEPT (pick-wt=8): 54 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.24/2.39 ** KEPT (pick-wt=7): 55 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 56 [] -empty(powerset(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 57 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=8): 58 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.24/2.39 ** KEPT (pick-wt=5): 59 [] empty(A)| -empty_carrier(incl_POSet(A)).
% 2.24/2.39 Following clause subsumed by 57 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 57 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 57 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=14): 60 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 2.24/2.39 ** KEPT (pick-wt=14): 61 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 2.24/2.39 ** KEPT (pick-wt=2): 62 [] -empty_carrier($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 63 [] -empty($c4).
% 2.24/2.39 ** KEPT (pick-wt=2): 64 [] -empty_carrier($c5).
% 2.24/2.39 ** KEPT (pick-wt=5): 65 [] empty(A)| -empty($f4(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 66 [] -empty_carrier($c7).
% 2.24/2.39 ** KEPT (pick-wt=2): 67 [] -v1_yellow_3($c7).
% 2.24/2.39 ** KEPT (pick-wt=2): 68 [] -empty_carrier($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 69 [] -empty($c9).
% 2.24/2.39 ** KEPT (pick-wt=2): 70 [] -empty_carrier($c10).
% 2.24/2.39 ** KEPT (pick-wt=5): 71 [] empty(A)| -empty($f6(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 72 [] -empty_carrier($c11).
% 2.24/2.39 ** KEPT (pick-wt=5): 73 [] empty(A)| -empty($f7(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 74 [] -empty_carrier($c12).
% 2.24/2.39 ** KEPT (pick-wt=10): 75 [] empty_carrier(A)| -one_sorted_str(A)|element($f8(A),powerset(the_carrier(A))).
% 2.24/2.39 ** KEPT (pick-wt=7): 76 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f8(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 77 [] -empty_carrier($c13).
% 2.24/2.39 ** KEPT (pick-wt=8): 78 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.24/2.39 ** KEPT (pick-wt=8): 79 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.24/2.39 ** KEPT (pick-wt=6): 80 [] -in(A,B)|element(A,B).
% 2.24/2.39 ** KEPT (pick-wt=8): 81 [] -element(A,B)|empty(B)|in(A,B).
% 2.24/2.39 ** KEPT (pick-wt=7): 82 [] -element(A,powerset(B))|subset(A,B).
% 2.24/2.39 ** KEPT (pick-wt=7): 83 [] element(A,powerset(B))| -subset(A,B).
% 2.24/2.39 ** KEPT (pick-wt=10): 84 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.24/2.39 ** KEPT (pick-wt=6): 85 [] the_carrier(boole_POSet($c14))!=powerset($c14).
% 2.24/2.39 ** KEPT (pick-wt=9): 86 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.24/2.39 ** KEPT (pick-wt=5): 87 [] -empty(A)|A=empty_set.
% 2.24/2.39 ** KEPT (pick-wt=5): 88 [] -in(A,B)| -empty(B).
% 2.24/2.39 ** KEPT (pick-wt=7): 89 [] -empty(A)|A=B| -empty(B).
% 2.24/2.39 45 back subsumes 17.
% 2.24/2.39
% 2.24/2.39 ------------> process sos:
% 2.24/2.39 ** KEPT (pick-wt=3): 94 [] A=A.
% 2.24/2.39 ** KEPT (pick-wt=7): 96 [copy,95,flip.1] rel_str_of(A,inclusion_order(A))=incl_POSet(A).
% 2.24/2.39 ---> New Demodulator: 97 [new_demod,96] rel_str_of(A,inclusion_order(A))=incl_POSet(A).
% 2.24/2.39 ** KEPT (pick-wt=3): 98 [] relation(inclusion_relation(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 99 [] reflexive(inclusion_order(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 100 [] antisymmetric(inclusion_order(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 101 [] transitive(inclusion_order(A)).
% 2.24/2.39 ** KEPT (pick-wt=5): 102 [] v1_partfun1(inclusion_order(A),A,A).
% 2.24/2.39 ** KEPT (pick-wt=5): 103 [] relation_of2_as_subset(inclusion_order(A),A,A).
% 2.24/2.39 ** KEPT (pick-wt=3): 104 [] strict_rel_str(incl_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 105 [] rel_str(incl_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 106 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 107 [] rel_str(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 108 [] rel_str($c1).
% 2.24/2.39 ** KEPT (pick-wt=2): 109 [] one_sorted_str($c2).
% 2.24/2.39 ** KEPT (pick-wt=6): 110 [] relation_of2($f1(A,B),A,B).
% 2.24/2.39 ** KEPT (pick-wt=4): 111 [] element($f2(A),A).
% 2.24/2.39 ** KEPT (pick-wt=6): 112 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.24/2.39 Following clause subsumed by 106 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 113 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 114 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 115 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 116 [] with_suprema_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 117 [] with_infima_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 118 [] complete_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 119 [] lower_bounded_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 120 [] upper_bounded_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 121 [] bounded_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 122 [] up_complete_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 123 [] join_complete_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 124 [] distributive_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 125 [] empty(empty_set).
% 2.24/2.39 Following clause subsumed by 104 during input processing: 0 [] strict_rel_str(incl_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 126 [] reflexive_relstr(incl_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 127 [] transitive_relstr(incl_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 128 [] antisymmetric_relstr(incl_POSet(A)).
% 2.24/2.39 Following clause subsumed by 104 during input processing: 0 [] empty(A)|strict_rel_str(incl_POSet(A)).
% 2.24/2.39 Following clause subsumed by 126 during input processing: 0 [] empty(A)|reflexive_relstr(incl_POSet(A)).
% 2.24/2.39 Following clause subsumed by 127 during input processing: 0 [] empty(A)|transitive_relstr(incl_POSet(A)).
% 2.24/2.39 Following clause subsumed by 128 during input processing: 0 [] empty(A)|antisymmetric_relstr(incl_POSet(A)).
% 2.24/2.39 Following clause subsumed by 106 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 113 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 114 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 115 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 106 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 113 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 114 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 115 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 119 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 120 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 121 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 116 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 117 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 118 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 106 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 113 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 114 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 115 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 116 during input processing: 0 [] with_suprema_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 117 during input processing: 0 [] with_infima_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 118 during input processing: 0 [] complete_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 119 during input processing: 0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 120 during input processing: 0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 121 during input processing: 0 [] bounded_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 122 during input processing: 0 [] up_complete_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 123 during input processing: 0 [] join_complete_relstr(boole_POSet(A)).
% 2.24/2.39 Following clause subsumed by 124 during input processing: 0 [] distributive_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 129 [] complemented_relstr(boole_POSet(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 130 [] rel_str($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 131 [] strict_rel_str($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 132 [] reflexive_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 133 [] transitive_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 134 [] antisymmetric_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 135 [] with_suprema_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 136 [] with_infima_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 137 [] complete_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 138 [] lower_bounded_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 139 [] upper_bounded_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 140 [] bounded_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 141 [] up_complete_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 142 [] join_complete_relstr($c3).
% 2.24/2.39 ** KEPT (pick-wt=2): 143 [] finite($c4).
% 2.24/2.39 ** KEPT (pick-wt=2): 144 [] rel_str($c5).
% 2.24/2.39 ** KEPT (pick-wt=2): 145 [] strict_rel_str($c5).
% 2.24/2.39 ** KEPT (pick-wt=2): 146 [] reflexive_relstr($c5).
% 2.24/2.39 ** KEPT (pick-wt=2): 147 [] transitive_relstr($c5).
% 2.24/2.39 ** KEPT (pick-wt=2): 148 [] antisymmetric_relstr($c5).
% 2.24/2.39 ** KEPT (pick-wt=2): 149 [] complete_relstr($c5).
% 2.24/2.39 ** KEPT (pick-wt=7): 150 [] empty(A)|element($f4(A),powerset(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 151 [] empty($c6).
% 2.24/2.39 ** KEPT (pick-wt=2): 152 [] rel_str($c7).
% 2.24/2.39 ** KEPT (pick-wt=2): 153 [] strict_rel_str($c7).
% 2.24/2.39 ** KEPT (pick-wt=2): 154 [] reflexive_relstr($c7).
% 2.24/2.39 ** KEPT (pick-wt=2): 155 [] transitive_relstr($c7).
% 2.24/2.39 ** KEPT (pick-wt=2): 156 [] antisymmetric_relstr($c7).
% 2.24/2.39 ** KEPT (pick-wt=2): 157 [] rel_str($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 158 [] strict_rel_str($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 159 [] reflexive_relstr($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 160 [] transitive_relstr($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 161 [] antisymmetric_relstr($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 162 [] with_suprema_relstr($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 163 [] with_infima_relstr($c8).
% 2.24/2.39 ** KEPT (pick-wt=2): 164 [] complete_relstr($c8).
% 2.24/2.39 ** KEPT (pick-wt=5): 165 [] element($f5(A),powerset(A)).
% 2.24/2.39 ** KEPT (pick-wt=3): 166 [] empty($f5(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 167 [] rel_str($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 168 [] reflexive_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 169 [] transitive_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 170 [] antisymmetric_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 171 [] with_suprema_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 172 [] with_infima_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 173 [] complete_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 174 [] lower_bounded_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 175 [] upper_bounded_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=2): 176 [] bounded_relstr($c10).
% 2.24/2.39 ** KEPT (pick-wt=7): 177 [] empty(A)|element($f6(A),powerset(A)).
% 2.24/2.39 ** KEPT (pick-wt=5): 178 [] empty(A)|finite($f6(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 179 [] one_sorted_str($c11).
% 2.24/2.39 ** KEPT (pick-wt=7): 180 [] empty(A)|element($f7(A),powerset(A)).
% 2.24/2.39 ** KEPT (pick-wt=5): 181 [] empty(A)|finite($f7(A)).
% 2.24/2.39 ** KEPT (pick-wt=2): 182 [] rel_str($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 183 [] strict_rel_str($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 184 [] reflexive_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 185 [] transitive_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 186 [] antisymmetric_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 187 [] with_suprema_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 188 [] with_infima_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 189 [] lower_bounded_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 190 [] upper_bounded_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 191 [] bounded_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 192 [] distributive_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 193 [] heyting_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 194 [] complemented_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 195 [] boolean_relstr($c12).
% 2.24/2.39 ** KEPT (pick-wt=2): 196 [] rel_str($c13).
% 2.24/2.39 ** KEPT (pick-wt=2): 197 [] strict_rel_str($c13).
% 2.24/2.39 ** KEPT (pick-wt=2): 198 [] reflexive_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=2): 199 [] transitive_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=2): 200 [] antisymmetric_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=2): 201 [] with_suprema_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=2): 202 [] with_infima_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=2): 203 [] upper_bounded_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=2): 204 [] distributive_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=2): 205 [] heyting_relstr($c13).
% 6.93/7.10 ** KEPT (pick-wt=5): 207 [copy,206,flip.1] inclusion_relation(A)=inclusion_order(A).
% 6.93/7.10 ---> New Demodulator: 208 [new_demod,207] inclusion_relation(A)=inclusion_order(A).
% 6.93/7.10 ** KEPT (pick-wt=3): 209 [] subset(A,A).
% 6.93/7.10 ** KEPT (pick-wt=6): 211 [copy,210,flip.1] incl_POSet(powerset(A))=boole_POSet(A).
% 6.93/7.10 ---> New Demodulator: 212 [new_demod,211] incl_POSet(powerset(A))=boole_POSet(A).
% 6.93/7.10 Following clause subsumed by 94 during input processing: 0 [copy,94,flip.1] A=A.
% 6.93/7.10 94 back subsumes 93.
% 6.93/7.10 >>>> Starting back demodulation with 97.
% 6.93/7.10 >>>> Starting back demodulation with 208.
% 6.93/7.10 >> back demodulating 98 with 208.
% 6.93/7.10 >>>> Starting back demodulation with 212.
% 6.93/7.10
% 6.93/7.10 ======= end of input processing =======
% 6.93/7.10
% 6.93/7.10 =========== start of search ===========
% 6.93/7.10
% 6.93/7.10
% 6.93/7.10 Resetting weight limit to 6.
% 6.93/7.10
% 6.93/7.10
% 6.93/7.10 Resetting weight limit to 6.
% 6.93/7.10
% 6.93/7.10 sos_size=826
% 6.93/7.10
% 6.93/7.10
% 6.93/7.10 Resetting weight limit to 4.
% 6.93/7.10
% 6.93/7.10
% 6.93/7.10 Resetting weight limit to 4.
% 6.93/7.10
% 6.93/7.10 sos_size=932
% 6.93/7.10
% 6.93/7.10 Search stopped because sos empty.
% 6.93/7.10
% 6.93/7.10
% 6.93/7.10 Search stopped because sos empty.
% 6.93/7.10
% 6.93/7.10 ============ end of search ============
% 6.93/7.10
% 6.93/7.10 -------------- statistics -------------
% 6.93/7.10 clauses given 1160
% 6.93/7.10 clauses generated 464453
% 6.93/7.10 clauses kept 1284
% 6.93/7.10 clauses forward subsumed 1347
% 6.93/7.10 clauses back subsumed 9
% 6.93/7.10 Kbytes malloced 6835
% 6.93/7.10
% 6.93/7.10 ----------- times (seconds) -----------
% 6.93/7.10 user CPU time 4.73 (0 hr, 0 min, 4 sec)
% 6.93/7.10 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 6.93/7.10 wall-clock time 7 (0 hr, 0 min, 7 sec)
% 6.93/7.10
% 6.93/7.10 Process 18737 finished Wed Jul 27 07:41:06 2022
% 6.93/7.10 Otter interrupted
% 6.93/7.10 PROOF NOT FOUND
%------------------------------------------------------------------------------