%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU369+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n010.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 13:15:54 EDT 2022

% Result   : Unknown 5.90s 6.06s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SEU369+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12  % Command  : otter-tptp-script %s
% 0.12/0.33  % Computer : n010.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 07:41:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 2.44/2.61  ----- Otter 3.3f, August 2004 -----
% 2.44/2.61  The process was started by sandbox on n010.cluster.edu,
% 2.44/2.61  Wed Jul 27 07:41:55 2022
% 2.44/2.61  The command was "./otter".  The process ID is 19833.
% 2.44/2.61  
% 2.44/2.61  set(prolog_style_variables).
% 2.44/2.61  set(auto).
% 2.44/2.61     dependent: set(auto1).
% 2.44/2.61     dependent: set(process_input).
% 2.44/2.61     dependent: clear(print_kept).
% 2.44/2.61     dependent: clear(print_new_demod).
% 2.44/2.61     dependent: clear(print_back_demod).
% 2.44/2.61     dependent: clear(print_back_sub).
% 2.44/2.61     dependent: set(control_memory).
% 2.44/2.61     dependent: assign(max_mem, 12000).
% 2.44/2.61     dependent: assign(pick_given_ratio, 4).
% 2.44/2.61     dependent: assign(stats_level, 1).
% 2.44/2.61     dependent: assign(max_seconds, 10800).
% 2.44/2.61  clear(print_given).
% 2.44/2.61  
% 2.44/2.61  formula_list(usable).
% 2.44/2.61  all A (A=A).
% 2.44/2.61  all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 2.44/2.61  all A (latt_str(A)-> (strict_latt_str(A)->A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)))).
% 2.44/2.61  all A B (in(A,B)-> -in(B,A)).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&lattice(A)&complete_latt_str(A)-> -empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)&lattice(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A)&bounded_lattstr(A))).
% 2.44/2.61  all A (rel_str(A)-> (with_suprema_relstr(A)-> -empty_carrier(A))).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&lattice(A)-> -empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A))).
% 2.44/2.61  all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.44/2.61  all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&with_suprema_relstr(A)&with_infima_relstr(A))).
% 2.44/2.61  all A (rel_str(A)-> (with_infima_relstr(A)-> -empty_carrier(A))).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)-> -empty_carrier(A)&lattice(A))).
% 2.44/2.61  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))).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A)-> -empty_carrier(A)&bounded_lattstr(A))).
% 2.44/2.61  all A (rel_str(A)-> (-empty_carrier(A)&complete_relstr(A)-> -empty_carrier(A)&bounded_relstr(A))).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&bounded_lattstr(A)-> -empty_carrier(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A))).
% 2.44/2.61  all A (rel_str(A)-> (bounded_relstr(A)->lower_bounded_relstr(A)&upper_bounded_relstr(A))).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&boolean_lattstr(A)-> -empty_carrier(A)&distributive_lattstr(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A)&bounded_lattstr(A)&complemented_lattstr(A))).
% 2.44/2.61  all A (rel_str(A)-> (lower_bounded_relstr(A)&upper_bounded_relstr(A)->bounded_relstr(A))).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&distributive_lattstr(A)&bounded_lattstr(A)&complemented_lattstr(A)-> -empty_carrier(A)&boolean_lattstr(A))).
% 2.44/2.61  all A (latt_str(A)-> (-empty_carrier(A)&lattice(A)&distributive_lattstr(A)-> -empty_carrier(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)&lattice(A)&modular_lattstr(A))).
% 2.44/2.61  all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)->poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A))).
% 2.44/2.61  all A (boole_POSet(A)=poset_of_lattice(boole_lattice(A))).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)-> (all B (element(B,the_carrier(A))->cast_to_el_of_LattPOSet(A,B)=B))).
% 2.44/2.61  all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.44/2.61  all A (rel_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))-> (related(A,B,C)<->in(ordered_pair(B,C),the_InternalRel(A)))))))).
% 2.44/2.61  all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 2.44/2.61  all A B C (function(B)&quasi_total(B,cartesian_product2(A,A),A)&relation_of2(B,cartesian_product2(A,A),A)&function(C)&quasi_total(C,cartesian_product2(A,A),A)&relation_of2(C,cartesian_product2(A,A),A)->strict_latt_str(latt_str_of(A,B,C))&latt_str(latt_str_of(A,B,C))).
% 2.44/2.61  all A (strict_latt_str(boole_lattice(A))&latt_str(boole_lattice(A))).
% 2.44/2.61  $T.
% 2.44/2.61  $T.
% 2.44/2.61  $T.
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)->reflexive(k2_lattice3(A))&antisymmetric(k2_lattice3(A))&transitive(k2_lattice3(A))&v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A))&relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A))).
% 2.44/2.61  $T.
% 2.44/2.61  $T.
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)->strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A))&transitive_relstr(poset_of_lattice(A))&antisymmetric_relstr(poset_of_lattice(A))&rel_str(poset_of_lattice(A))).
% 2.44/2.61  all A (strict_rel_str(boole_POSet(A))&rel_str(boole_POSet(A))).
% 2.44/2.61  all A B (-empty_carrier(A)&lattice(A)&latt_str(A)&element(B,the_carrier(A))->element(cast_to_el_of_LattPOSet(A,B),the_carrier(poset_of_lattice(A)))).
% 2.44/2.61  $T.
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)->relation(relation_of_lattice(A))).
% 2.44/2.61  all A (meet_semilatt_str(A)->one_sorted_str(A)).
% 2.44/2.61  all A (rel_str(A)->one_sorted_str(A)).
% 2.44/2.61  $T.
% 2.44/2.61  all A (join_semilatt_str(A)->one_sorted_str(A)).
% 2.44/2.61  all A (latt_str(A)->meet_semilatt_str(A)&join_semilatt_str(A)).
% 2.44/2.61  $T.
% 2.44/2.61  $T.
% 2.44/2.61  all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.44/2.61  all A (meet_semilatt_str(A)->function(the_L_meet(A))&quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.44/2.61  all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.44/2.61  $T.
% 2.44/2.61  all A (join_semilatt_str(A)->function(the_L_join(A))&quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.44/2.61  exists A meet_semilatt_str(A).
% 2.44/2.61  exists A rel_str(A).
% 2.44/2.61  exists A one_sorted_str(A).
% 2.44/2.61  exists A join_semilatt_str(A).
% 2.44/2.61  exists A latt_str(A).
% 2.44/2.61  all A B exists C relation_of2(C,A,B).
% 2.44/2.61  all A exists B element(B,A).
% 2.44/2.61  all A B exists C relation_of2_as_subset(C,A,B).
% 2.44/2.61  all A (-empty_carrier(boole_lattice(A))&strict_latt_str(boole_lattice(A))&join_commutative(boole_lattice(A))&join_associative(boole_lattice(A))&meet_commutative(boole_lattice(A))&meet_associative(boole_lattice(A))&meet_absorbing(boole_lattice(A))&join_absorbing(boole_lattice(A))&lattice(boole_lattice(A))&distributive_lattstr(boole_lattice(A))&modular_lattstr(boole_lattice(A))&lower_bounded_semilattstr(boole_lattice(A))&upper_bounded_semilattstr(boole_lattice(A))&bounded_lattstr(boole_lattice(A))&complemented_lattstr(boole_lattice(A))&boolean_lattstr(boole_lattice(A))&complete_latt_str(boole_lattice(A))).
% 2.44/2.61  all A (-empty_carrier(boole_lattice(A))&strict_latt_str(boole_lattice(A))).
% 2.44/2.61  all A B (-empty(A)&relation_of2(B,A,A)-> -empty_carrier(rel_str_of(A,B))&strict_rel_str(rel_str_of(A,B))).
% 2.44/2.61  all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.44/2.61  all A (-empty(powerset(A))).
% 2.44/2.61  empty(empty_set).
% 2.44/2.61  all A B (relation_of2(B,singleton(A),singleton(A))-> -empty_carrier(rel_str_of(singleton(A),B))&strict_rel_str(rel_str_of(singleton(A),B))&trivial_carrier(rel_str_of(singleton(A),B))).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)-> -empty_carrier(poset_of_lattice(A))&strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A))&transitive_relstr(poset_of_lattice(A))&antisymmetric_relstr(poset_of_lattice(A))&with_suprema_relstr(poset_of_lattice(A))&with_infima_relstr(poset_of_lattice(A))).
% 2.44/2.61  all A (-empty_carrier(boole_lattice(A))&strict_latt_str(boole_lattice(A))&join_commutative(boole_lattice(A))&join_associative(boole_lattice(A))&meet_commutative(boole_lattice(A))&meet_associative(boole_lattice(A))&meet_absorbing(boole_lattice(A))&join_absorbing(boole_lattice(A))&lattice(boole_lattice(A))).
% 2.44/2.61  all A (reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&rel_str(A)->relation(the_InternalRel(A))&reflexive(the_InternalRel(A))&antisymmetric(the_InternalRel(A))&transitive(the_InternalRel(A))&v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.44/2.61  all A (-empty(singleton(A))).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&upper_bounded_semilattstr(A)&latt_str(A)-> -empty_carrier(poset_of_lattice(A))&strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A))&transitive_relstr(poset_of_lattice(A))&antisymmetric_relstr(poset_of_lattice(A))&upper_bounded_relstr(poset_of_lattice(A))&with_suprema_relstr(poset_of_lattice(A))&with_infima_relstr(poset_of_lattice(A))).
% 2.44/2.61  all A (-empty_carrier(boole_lattice(A))&strict_latt_str(boole_lattice(A))&join_commutative(boole_lattice(A))&join_associative(boole_lattice(A))&meet_commutative(boole_lattice(A))&meet_associative(boole_lattice(A))&meet_absorbing(boole_lattice(A))&join_absorbing(boole_lattice(A))&lattice(boole_lattice(A))&distributive_lattstr(boole_lattice(A))&modular_lattstr(boole_lattice(A))&lower_bounded_semilattstr(boole_lattice(A))&upper_bounded_semilattstr(boole_lattice(A))&bounded_lattstr(boole_lattice(A))&complemented_lattstr(boole_lattice(A))&boolean_lattstr(boole_lattice(A))).
% 2.44/2.61  all A B C (-empty(A)&function(B)&quasi_total(B,cartesian_product2(A,A),A)&relation_of2(B,cartesian_product2(A,A),A)&function(C)&quasi_total(C,cartesian_product2(A,A),A)&relation_of2(C,cartesian_product2(A,A),A)-> -empty_carrier(latt_str_of(A,B,C))&strict_latt_str(latt_str_of(A,B,C))).
% 2.44/2.61  all A B (reflexive(B)&antisymmetric(B)&transitive(B)&v1_partfun1(B,A,A)&relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&reflexive_relstr(rel_str_of(A,B))&transitive_relstr(rel_str_of(A,B))&antisymmetric_relstr(rel_str_of(A,B))).
% 2.44/2.61  all A B (-empty(unordered_pair(A,B))).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&lower_bounded_semilattstr(A)&latt_str(A)-> -empty_carrier(poset_of_lattice(A))&strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A))&transitive_relstr(poset_of_lattice(A))&antisymmetric_relstr(poset_of_lattice(A))&lower_bounded_relstr(poset_of_lattice(A))&with_suprema_relstr(poset_of_lattice(A))&with_infima_relstr(poset_of_lattice(A))).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)-> -empty_carrier(poset_of_lattice(A))&strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A))&transitive_relstr(poset_of_lattice(A))&antisymmetric_relstr(poset_of_lattice(A))).
% 2.44/2.61  all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> -empty_carrier(poset_of_lattice(A))&strict_rel_str(poset_of_lattice(A))&reflexive_relstr(poset_of_lattice(A))&transitive_relstr(poset_of_lattice(A))&antisymmetric_relstr(poset_of_lattice(A))&lower_bounded_relstr(poset_of_lattice(A))&upper_bounded_relstr(poset_of_lattice(A))&bounded_relstr(poset_of_lattice(A))&with_suprema_relstr(poset_of_lattice(A))&with_infima_relstr(poset_of_lattice(A))&complete_relstr(poset_of_lattice(A))).
% 2.44/2.61  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))).
% 2.44/2.61  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))).
% 2.44/2.61  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))).
% 2.44/2.61  all A B C (function(B)&quasi_total(B,cartesian_product2(A,A),A)&relation_of2(B,cartesian_product2(A,A),A)&function(C)&quasi_total(C,cartesian_product2(A,A),A)&relation_of2(C,cartesian_product2(A,A),A)-> (all D E F (latt_str_of(A,B,C)=latt_str_of(D,E,F)->A=D&B=E&C=F))).
% 2.44/2.61  exists A (latt_str(A)& -empty_carrier(A)&strict_latt_str(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)&lattice(A)&distributive_lattstr(A)&modular_lattstr(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A)).
% 2.44/2.61  exists A (latt_str(A)& -empty_carrier(A)&strict_latt_str(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)&lattice(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A)&bounded_lattstr(A)).
% 2.44/2.61  exists A (latt_str(A)& -empty_carrier(A)&strict_latt_str(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)&lattice(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A)&bounded_lattstr(A)&complemented_lattstr(A)).
% 2.44/2.61  exists A (latt_str(A)& -empty_carrier(A)&strict_latt_str(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)&lattice(A)&distributive_lattstr(A)&lower_bounded_semilattstr(A)&upper_bounded_semilattstr(A)&bounded_lattstr(A)&complemented_lattstr(A)&boolean_lattstr(A)).
% 2.44/2.61  exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)&complete_relstr(A)).
% 2.44/2.61  exists A (rel_str(A)&strict_rel_str(A)).
% 2.44/2.61  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.44/2.61  exists A empty(A).
% 2.44/2.61  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)).
% 2.44/2.61  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)).
% 2.44/2.61  exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)).
% 2.44/2.61  all A B exists C (relation_of2(C,A,B)&relation(C)&function(C)).
% 2.44/2.61  all A exists B (element(B,powerset(A))&empty(B)).
% 2.44/2.61  exists A (-empty(A)).
% 2.44/2.61  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)).
% 2.44/2.61  exists A (latt_str(A)&strict_latt_str(A)).
% 2.44/2.61  exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.44/2.61  all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.44/2.61  exists A (latt_str(A)& -empty_carrier(A)&strict_latt_str(A)).
% 2.44/2.61  exists A (latt_str(A)& -empty_carrier(A)&strict_latt_str(A)&join_commutative(A)&join_associative(A)&meet_commutative(A)&meet_associative(A)&meet_absorbing(A)&join_absorbing(A)&lattice(A)).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)->k2_lattice3(A)=relation_of_lattice(A)).
% 2.44/2.61  all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.44/2.61  all A B C (-empty_carrier(A)&meet_commutative(A)&meet_absorbing(A)&join_absorbing(A)&latt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))-> (below_refl(A,B,C)<->below(A,B,C))).
% 2.44/2.61  all A B C (-empty_carrier(A)&reflexive_relstr(A)&rel_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))-> (related_reflexive(A,B,C)<->related(A,B,C))).
% 2.44/2.61  all A B subset(A,A).
% 2.44/2.61  all A B C (-empty_carrier(A)&meet_commutative(A)&meet_absorbing(A)&join_absorbing(A)&latt_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->below_refl(A,B,B)).
% 2.44/2.61  all A B C (-empty_carrier(A)&reflexive_relstr(A)&rel_str(A)&element(B,the_carrier(A))&element(C,the_carrier(A))->related_reflexive(A,B,B)).
% 2.44/2.61  all A B (in(A,B)->element(A,B)).
% 2.44/2.61  all A B (element(B,the_carrier(boole_lattice(A)))-> (all C (element(C,the_carrier(boole_lattice(A)))-> (below(boole_lattice(A),B,C)<->subset(B,C))))).
% 2.44/2.61  all A B (element(A,B)->empty(B)|in(A,B)).
% 2.44/2.61  -(all A B (element(B,the_carrier(boole_POSet(A)))-> (all C (element(C,the_carrier(boole_POSet(A)))-> (related_reflexive(boole_POSet(A),B,C)<->subset(B,C)))))).
% 2.44/2.61  all A B (element(A,powerset(B))<->subset(A,B)).
% 2.44/2.61  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.44/2.61  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.44/2.61  all A (empty(A)->A=empty_set).
% 2.44/2.61  all A B (-(in(A,B)&empty(B))).
% 2.44/2.61  all A (-empty_carrier(A)&lattice(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))-> (below_refl(A,B,C)<->related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)))))))).
% 2.44/2.61  all A B (-(empty(A)&A!=B&empty(B))).
% 2.44/2.61  end_of_list.
% 2.44/2.61  
% 2.44/2.61  -------> usable clausifies to:
% 2.44/2.61  
% 2.44/2.61  list(usable).
% 2.44/2.61  0 [] A=A.
% 2.44/2.61  0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 2.44/2.61  0 [] -latt_str(A)| -strict_latt_str(A)|A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)).
% 2.44/2.61  0 [] -in(A,B)| -in(B,A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|join_commutative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|join_associative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|meet_commutative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|meet_associative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|meet_absorbing(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|join_absorbing(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|lower_bounded_semilattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|upper_bounded_semilattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|bounded_lattstr(A).
% 2.44/2.61  0 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.44/2.61  0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.44/2.61  0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.44/2.61  0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.44/2.61  0 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -join_commutative(A)| -join_associative(A)| -meet_commutative(A)| -meet_associative(A)| -meet_absorbing(A)| -join_absorbing(A)|lattice(A).
% 2.44/2.61  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 2.44/2.61  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 2.44/2.61  0 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lower_bounded_semilattstr(A)| -upper_bounded_semilattstr(A)|bounded_lattstr(A).
% 2.44/2.61  0 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -bounded_lattstr(A)|lower_bounded_semilattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -bounded_lattstr(A)|upper_bounded_semilattstr(A).
% 2.44/2.61  0 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.44/2.61  0 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|distributive_lattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|lower_bounded_semilattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|upper_bounded_semilattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|bounded_lattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|complemented_lattstr(A).
% 2.44/2.61  0 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -distributive_lattstr(A)| -bounded_lattstr(A)| -complemented_lattstr(A)|boolean_lattstr(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|join_commutative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|join_associative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|meet_commutative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|meet_associative(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|meet_absorbing(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|join_absorbing(A).
% 2.44/2.61  0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|modular_lattstr(A).
% 2.44/2.61  0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)).
% 2.44/2.61  0 [] boole_POSet(A)=poset_of_lattice(boole_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 2.44/2.61  0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.44/2.61  0 [] -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -related(A,B,C)|in(ordered_pair(B,C),the_InternalRel(A)).
% 2.44/2.61  0 [] -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related(A,B,C)| -in(ordered_pair(B,C),the_InternalRel(A)).
% 2.44/2.61  0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.44/2.61  0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 2.44/2.61  0 [] -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)|strict_latt_str(latt_str_of(A,B,C)).
% 2.44/2.61  0 [] -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)|latt_str(latt_str_of(A,B,C)).
% 2.44/2.61  0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.61  0 [] latt_str(boole_lattice(A)).
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 2.44/2.61  0 [] strict_rel_str(boole_POSet(A)).
% 2.44/2.61  0 [] rel_str(boole_POSet(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|element(cast_to_el_of_LattPOSet(A,B),the_carrier(poset_of_lattice(A))).
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 2.44/2.61  0 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.44/2.61  0 [] -rel_str(A)|one_sorted_str(A).
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.44/2.61  0 [] -latt_str(A)|meet_semilatt_str(A).
% 2.44/2.61  0 [] -latt_str(A)|join_semilatt_str(A).
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.44/2.61  0 [] -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.44/2.61  0 [] -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.61  0 [] -meet_semilatt_str(A)|relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.61  0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.44/2.61  0 [] $T.
% 2.44/2.61  0 [] -join_semilatt_str(A)|function(the_L_join(A)).
% 2.44/2.61  0 [] -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.61  0 [] -join_semilatt_str(A)|relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.61  0 [] meet_semilatt_str($c1).
% 2.44/2.61  0 [] rel_str($c2).
% 2.44/2.61  0 [] one_sorted_str($c3).
% 2.44/2.61  0 [] join_semilatt_str($c4).
% 2.44/2.61  0 [] latt_str($c5).
% 2.44/2.61  0 [] relation_of2($f1(A,B),A,B).
% 2.44/2.61  0 [] element($f2(A),A).
% 2.44/2.61  0 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.44/2.61  0 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.61  0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.61  0 [] join_commutative(boole_lattice(A)).
% 2.44/2.61  0 [] join_associative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_commutative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_associative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_absorbing(boole_lattice(A)).
% 2.44/2.61  0 [] join_absorbing(boole_lattice(A)).
% 2.44/2.61  0 [] lattice(boole_lattice(A)).
% 2.44/2.61  0 [] distributive_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] modular_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] lower_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.61  0 [] upper_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.61  0 [] bounded_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] complemented_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] boolean_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] complete_latt_str(boole_lattice(A)).
% 2.44/2.61  0 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.61  0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.61  0 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 2.44/2.61  0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.44/2.61  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.44/2.61  0 [] -empty(powerset(A)).
% 2.44/2.61  0 [] empty(empty_set).
% 2.44/2.61  0 [] -relation_of2(B,singleton(A),singleton(A))| -empty_carrier(rel_str_of(singleton(A),B)).
% 2.44/2.61  0 [] -relation_of2(B,singleton(A),singleton(A))|strict_rel_str(rel_str_of(singleton(A),B)).
% 2.44/2.61  0 [] -relation_of2(B,singleton(A),singleton(A))|trivial_carrier(rel_str_of(singleton(A),B)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.61  0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.61  0 [] join_commutative(boole_lattice(A)).
% 2.44/2.61  0 [] join_associative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_commutative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_associative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_absorbing(boole_lattice(A)).
% 2.44/2.61  0 [] join_absorbing(boole_lattice(A)).
% 2.44/2.61  0 [] lattice(boole_lattice(A)).
% 2.44/2.61  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.44/2.61  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 2.44/2.61  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 2.44/2.61  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 2.44/2.61  0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.44/2.61  0 [] -empty(singleton(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|upper_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.61  0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.61  0 [] join_commutative(boole_lattice(A)).
% 2.44/2.61  0 [] join_associative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_commutative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_associative(boole_lattice(A)).
% 2.44/2.61  0 [] meet_absorbing(boole_lattice(A)).
% 2.44/2.61  0 [] join_absorbing(boole_lattice(A)).
% 2.44/2.61  0 [] lattice(boole_lattice(A)).
% 2.44/2.61  0 [] distributive_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] modular_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] lower_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.61  0 [] upper_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.61  0 [] bounded_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] complemented_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] boolean_lattstr(boole_lattice(A)).
% 2.44/2.61  0 [] empty(A)| -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)| -empty_carrier(latt_str_of(A,B,C)).
% 2.44/2.61  0 [] empty(A)| -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)|strict_latt_str(latt_str_of(A,B,C)).
% 2.44/2.61  0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.44/2.61  0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|reflexive_relstr(rel_str_of(A,B)).
% 2.44/2.61  0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|transitive_relstr(rel_str_of(A,B)).
% 2.44/2.61  0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|antisymmetric_relstr(rel_str_of(A,B)).
% 2.44/2.61  0 [] -empty(unordered_pair(A,B)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|lower_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|lower_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|upper_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|bounded_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|complete_relstr(poset_of_lattice(A)).
% 2.44/2.61  0 [] -empty_carrier(boole_POSet(A)).
% 2.44/2.61  0 [] strict_rel_str(boole_POSet(A)).
% 2.44/2.61  0 [] reflexive_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] transitive_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] -empty_carrier(boole_POSet(A)).
% 2.44/2.61  0 [] strict_rel_str(boole_POSet(A)).
% 2.44/2.61  0 [] reflexive_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] transitive_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] lower_bounded_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] upper_bounded_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] bounded_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] with_suprema_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] with_infima_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] complete_relstr(boole_POSet(A)).
% 2.44/2.61  0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 2.44/2.61  0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 2.44/2.61  0 [] -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)|latt_str_of(A,B,C)!=latt_str_of(D,E,F)|A=D.
% 2.44/2.61  0 [] -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)|latt_str_of(A,B,C)!=latt_str_of(D,E,F)|B=E.
% 2.44/2.61  0 [] -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)|latt_str_of(A,B,C)!=latt_str_of(D,E,F)|C=F.
% 2.44/2.61  0 [] latt_str($c6).
% 2.44/2.61  0 [] -empty_carrier($c6).
% 2.44/2.61  0 [] strict_latt_str($c6).
% 2.44/2.61  0 [] join_commutative($c6).
% 2.44/2.61  0 [] join_associative($c6).
% 2.44/2.61  0 [] meet_commutative($c6).
% 2.44/2.61  0 [] meet_associative($c6).
% 2.44/2.61  0 [] meet_absorbing($c6).
% 2.44/2.61  0 [] join_absorbing($c6).
% 2.44/2.61  0 [] lattice($c6).
% 2.44/2.61  0 [] distributive_lattstr($c6).
% 2.44/2.61  0 [] modular_lattstr($c6).
% 2.44/2.61  0 [] lower_bounded_semilattstr($c6).
% 2.44/2.61  0 [] upper_bounded_semilattstr($c6).
% 2.44/2.61  0 [] latt_str($c7).
% 2.44/2.61  0 [] -empty_carrier($c7).
% 2.44/2.61  0 [] strict_latt_str($c7).
% 2.44/2.61  0 [] join_commutative($c7).
% 2.44/2.61  0 [] join_associative($c7).
% 2.44/2.61  0 [] meet_commutative($c7).
% 2.44/2.61  0 [] meet_associative($c7).
% 2.44/2.61  0 [] meet_absorbing($c7).
% 2.44/2.61  0 [] join_absorbing($c7).
% 2.44/2.61  0 [] lattice($c7).
% 2.44/2.61  0 [] lower_bounded_semilattstr($c7).
% 2.44/2.61  0 [] upper_bounded_semilattstr($c7).
% 2.44/2.61  0 [] bounded_lattstr($c7).
% 2.44/2.61  0 [] latt_str($c8).
% 2.44/2.61  0 [] -empty_carrier($c8).
% 2.44/2.61  0 [] strict_latt_str($c8).
% 2.44/2.61  0 [] join_commutative($c8).
% 2.44/2.61  0 [] join_associative($c8).
% 2.44/2.61  0 [] meet_commutative($c8).
% 2.44/2.61  0 [] meet_associative($c8).
% 2.44/2.61  0 [] meet_absorbing($c8).
% 2.44/2.61  0 [] join_absorbing($c8).
% 2.44/2.61  0 [] lattice($c8).
% 2.44/2.61  0 [] lower_bounded_semilattstr($c8).
% 2.44/2.61  0 [] upper_bounded_semilattstr($c8).
% 2.44/2.61  0 [] bounded_lattstr($c8).
% 2.44/2.61  0 [] complemented_lattstr($c8).
% 2.44/2.61  0 [] latt_str($c9).
% 2.44/2.61  0 [] -empty_carrier($c9).
% 2.44/2.61  0 [] strict_latt_str($c9).
% 2.44/2.61  0 [] join_commutative($c9).
% 2.44/2.61  0 [] join_associative($c9).
% 2.44/2.61  0 [] meet_commutative($c9).
% 2.44/2.61  0 [] meet_associative($c9).
% 2.44/2.61  0 [] meet_absorbing($c9).
% 2.44/2.61  0 [] join_absorbing($c9).
% 2.44/2.61  0 [] lattice($c9).
% 2.44/2.61  0 [] distributive_lattstr($c9).
% 2.44/2.61  0 [] lower_bounded_semilattstr($c9).
% 2.44/2.61  0 [] upper_bounded_semilattstr($c9).
% 2.44/2.61  0 [] bounded_lattstr($c9).
% 2.44/2.61  0 [] complemented_lattstr($c9).
% 2.44/2.61  0 [] boolean_lattstr($c9).
% 2.44/2.61  0 [] rel_str($c10).
% 2.44/2.61  0 [] -empty_carrier($c10).
% 2.44/2.61  0 [] strict_rel_str($c10).
% 2.44/2.61  0 [] reflexive_relstr($c10).
% 2.44/2.61  0 [] transitive_relstr($c10).
% 2.44/2.61  0 [] antisymmetric_relstr($c10).
% 2.44/2.61  0 [] complete_relstr($c10).
% 2.44/2.61  0 [] rel_str($c11).
% 2.44/2.61  0 [] strict_rel_str($c11).
% 2.44/2.61  0 [] empty(A)|element($f4(A),powerset(A)).
% 2.44/2.61  0 [] empty(A)| -empty($f4(A)).
% 2.44/2.61  0 [] empty($c12).
% 2.44/2.61  0 [] rel_str($c13).
% 2.44/2.61  0 [] -empty_carrier($c13).
% 2.44/2.61  0 [] strict_rel_str($c13).
% 2.44/2.61  0 [] reflexive_relstr($c13).
% 2.44/2.61  0 [] transitive_relstr($c13).
% 2.44/2.61  0 [] antisymmetric_relstr($c13).
% 2.44/2.61  0 [] with_suprema_relstr($c13).
% 2.44/2.61  0 [] with_infima_relstr($c13).
% 2.44/2.61  0 [] complete_relstr($c13).
% 2.44/2.61  0 [] trivial_carrier($c13).
% 2.44/2.61  0 [] rel_str($c14).
% 2.44/2.61  0 [] -empty_carrier($c14).
% 2.44/2.61  0 [] strict_rel_str($c14).
% 2.44/2.61  0 [] reflexive_relstr($c14).
% 2.44/2.61  0 [] transitive_relstr($c14).
% 2.44/2.61  0 [] antisymmetric_relstr($c14).
% 2.44/2.61  0 [] with_suprema_relstr($c14).
% 2.44/2.61  0 [] with_infima_relstr($c14).
% 2.44/2.61  0 [] complete_relstr($c14).
% 2.44/2.61  0 [] rel_str($c15).
% 2.44/2.61  0 [] -empty_carrier($c15).
% 2.44/2.61  0 [] strict_rel_str($c15).
% 2.44/2.61  0 [] reflexive_relstr($c15).
% 2.44/2.61  0 [] transitive_relstr($c15).
% 2.44/2.61  0 [] antisymmetric_relstr($c15).
% 2.44/2.61  0 [] relation_of2($f5(A,B),A,B).
% 2.44/2.62  0 [] relation($f5(A,B)).
% 2.44/2.62  0 [] function($f5(A,B)).
% 2.44/2.62  0 [] element($f6(A),powerset(A)).
% 2.44/2.62  0 [] empty($f6(A)).
% 2.44/2.62  0 [] -empty($c16).
% 2.44/2.62  0 [] rel_str($c17).
% 2.44/2.62  0 [] -empty_carrier($c17).
% 2.44/2.62  0 [] reflexive_relstr($c17).
% 2.44/2.62  0 [] transitive_relstr($c17).
% 2.44/2.62  0 [] antisymmetric_relstr($c17).
% 2.44/2.62  0 [] with_suprema_relstr($c17).
% 2.44/2.62  0 [] with_infima_relstr($c17).
% 2.44/2.62  0 [] complete_relstr($c17).
% 2.44/2.62  0 [] lower_bounded_relstr($c17).
% 2.44/2.62  0 [] upper_bounded_relstr($c17).
% 2.44/2.62  0 [] bounded_relstr($c17).
% 2.44/2.62  0 [] latt_str($c18).
% 2.44/2.62  0 [] strict_latt_str($c18).
% 2.44/2.62  0 [] one_sorted_str($c19).
% 2.44/2.62  0 [] -empty_carrier($c19).
% 2.44/2.62  0 [] empty_carrier(A)| -one_sorted_str(A)|element($f7(A),powerset(the_carrier(A))).
% 2.44/2.62  0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f7(A)).
% 2.44/2.62  0 [] latt_str($c20).
% 2.44/2.62  0 [] -empty_carrier($c20).
% 2.44/2.62  0 [] strict_latt_str($c20).
% 2.44/2.62  0 [] latt_str($c21).
% 2.44/2.62  0 [] -empty_carrier($c21).
% 2.44/2.62  0 [] strict_latt_str($c21).
% 2.44/2.62  0 [] join_commutative($c21).
% 2.44/2.62  0 [] join_associative($c21).
% 2.44/2.62  0 [] meet_commutative($c21).
% 2.44/2.62  0 [] meet_associative($c21).
% 2.44/2.62  0 [] meet_absorbing($c21).
% 2.44/2.62  0 [] join_absorbing($c21).
% 2.44/2.62  0 [] lattice($c21).
% 2.44/2.62  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|k2_lattice3(A)=relation_of_lattice(A).
% 2.44/2.62  0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.44/2.62  0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.44/2.62  0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 2.44/2.62  0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 2.44/2.62  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -related_reflexive(A,B,C)|related(A,B,C).
% 2.44/2.62  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related_reflexive(A,B,C)| -related(A,B,C).
% 2.44/2.62  0 [] subset(A,A).
% 2.44/2.62  0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,B).
% 2.44/2.62  0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related_reflexive(A,B,B).
% 2.44/2.62  0 [] -in(A,B)|element(A,B).
% 2.44/2.62  0 [] -element(B,the_carrier(boole_lattice(A)))| -element(C,the_carrier(boole_lattice(A)))| -below(boole_lattice(A),B,C)|subset(B,C).
% 2.44/2.62  0 [] -element(B,the_carrier(boole_lattice(A)))| -element(C,the_carrier(boole_lattice(A)))|below(boole_lattice(A),B,C)| -subset(B,C).
% 2.44/2.62  0 [] -element(A,B)|empty(B)|in(A,B).
% 2.44/2.62  0 [] element($c23,the_carrier(boole_POSet($c24))).
% 2.44/2.62  0 [] element($c22,the_carrier(boole_POSet($c24))).
% 2.44/2.62  0 [] related_reflexive(boole_POSet($c24),$c23,$c22)|subset($c23,$c22).
% 2.44/2.62  0 [] -related_reflexive(boole_POSet($c24),$c23,$c22)| -subset($c23,$c22).
% 2.44/2.62  0 [] -element(A,powerset(B))|subset(A,B).
% 2.44/2.62  0 [] element(A,powerset(B))| -subset(A,B).
% 2.44/2.62  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.44/2.62  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.44/2.62  0 [] -empty(A)|A=empty_set.
% 2.44/2.62  0 [] -in(A,B)| -empty(B).
% 2.44/2.62  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.44/2.62  0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.44/2.62  0 [] -empty(A)|A=B| -empty(B).
% 2.44/2.62  end_of_list.
% 2.44/2.62  
% 2.44/2.62  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.44/2.62  
% 2.44/2.62  This ia a non-Horn set with equality.  The strategy will be
% 2.44/2.62  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.44/2.62  deletion, with positive clauses in sos and nonpositive
% 2.44/2.62  clauses in usable.
% 2.44/2.62  
% 2.44/2.62     dependent: set(knuth_bendix).
% 2.44/2.62     dependent: set(anl_eq).
% 2.44/2.62     dependent: set(para_from).
% 2.44/2.62     dependent: set(para_into).
% 2.44/2.62     dependent: clear(para_from_right).
% 2.44/2.62     dependent: clear(para_into_right).
% 2.44/2.62     dependent: set(para_from_vars).
% 2.44/2.62     dependent: set(eq_units_both_ways).
% 2.44/2.62     dependent: set(dynamic_demod_all).
% 2.44/2.62     dependent: set(dynamic_demod).
% 2.44/2.62     dependent: set(order_eq).
% 2.44/2.62     dependent: set(back_demod).
% 2.44/2.62     dependent: set(lrpo).
% 2.44/2.62     dependent: set(hyper_res).
% 2.44/2.62     dependent: set(unit_deletion).
% 2.44/2.62     dependent: set(factor).
% 2.44/2.62  
% 2.44/2.62  ------------> process usable:
% 2.44/2.62  ** 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.
% 2.44/2.62  ** KEPT (pick-wt=13): 4 [copy,3,flip.3] -latt_str(A)| -strict_latt_str(A)|latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A))=A.
% 2.44/2.62  ** KEPT (pick-wt=6): 5 [] -in(A,B)| -in(B,A).
% 2.44/2.62  ** KEPT (pick-wt=10): 6 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|join_commutative(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 7 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|join_associative(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 8 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|meet_commutative(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 9 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|meet_associative(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 10 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|meet_absorbing(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 11 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|join_absorbing(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 12 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|lower_bounded_semilattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 13 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|upper_bounded_semilattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 14 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -complete_latt_str(A)|bounded_lattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=6): 15 [] -rel_str(A)| -with_suprema_relstr(A)| -empty_carrier(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 16 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 17 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 18 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 19 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 20 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 21 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 22 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 23 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_suprema_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 24 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|with_infima_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=6): 25 [] -rel_str(A)| -with_infima_relstr(A)| -empty_carrier(A).
% 2.44/2.62  ** KEPT (pick-wt=18): 26 [] -latt_str(A)|empty_carrier(A)| -join_commutative(A)| -join_associative(A)| -meet_commutative(A)| -meet_associative(A)| -meet_absorbing(A)| -join_absorbing(A)|lattice(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 27 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|transitive_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 28 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|antisymmetric_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 29 [] -rel_str(A)|empty_carrier(A)| -reflexive_relstr(A)| -trivial_carrier(A)|complete_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 30 [] -latt_str(A)|empty_carrier(A)| -lower_bounded_semilattstr(A)| -upper_bounded_semilattstr(A)|bounded_lattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 31 [] -rel_str(A)|empty_carrier(A)| -complete_relstr(A)|bounded_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 32 [] -latt_str(A)|empty_carrier(A)| -bounded_lattstr(A)|lower_bounded_semilattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 33 [] -latt_str(A)|empty_carrier(A)| -bounded_lattstr(A)|upper_bounded_semilattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=6): 34 [] -rel_str(A)| -bounded_relstr(A)|lower_bounded_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=6): 35 [] -rel_str(A)| -bounded_relstr(A)|upper_bounded_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 36 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|distributive_lattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 37 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|lower_bounded_semilattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 38 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|upper_bounded_semilattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 39 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|bounded_lattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 40 [] -latt_str(A)|empty_carrier(A)| -boolean_lattstr(A)|complemented_lattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 41 [] -rel_str(A)| -lower_bounded_relstr(A)| -upper_bounded_relstr(A)|bounded_relstr(A).
% 2.44/2.62  ** KEPT (pick-wt=12): 42 [] -latt_str(A)|empty_carrier(A)| -distributive_lattstr(A)| -bounded_lattstr(A)| -complemented_lattstr(A)|boolean_lattstr(A).
% 2.44/2.62    Following clause subsumed by 16 during input processing: 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|join_commutative(A).
% 2.44/2.62    Following clause subsumed by 17 during input processing: 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|join_associative(A).
% 2.44/2.62    Following clause subsumed by 18 during input processing: 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|meet_commutative(A).
% 2.44/2.62    Following clause subsumed by 19 during input processing: 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|meet_associative(A).
% 2.44/2.62    Following clause subsumed by 20 during input processing: 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|meet_absorbing(A).
% 2.44/2.62    Following clause subsumed by 21 during input processing: 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|join_absorbing(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 43 [] -latt_str(A)|empty_carrier(A)| -lattice(A)| -distributive_lattstr(A)|modular_lattstr(A).
% 2.44/2.62  ** KEPT (pick-wt=14): 45 [copy,44,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str_of(the_carrier(A),k2_lattice3(A))=poset_of_lattice(A).
% 2.44/2.62  ** KEPT (pick-wt=15): 46 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 2.44/2.62  ** KEPT (pick-wt=20): 47 [] -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -related(A,B,C)|in(ordered_pair(B,C),the_InternalRel(A)).
% 2.44/2.62  ** KEPT (pick-wt=20): 48 [] -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related(A,B,C)| -in(ordered_pair(B,C),the_InternalRel(A)).
% 2.44/2.62  ** KEPT (pick-wt=8): 49 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 2.44/2.62  ** KEPT (pick-wt=8): 50 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 2.44/2.62  ** KEPT (pick-wt=33): 51 [] -function(A)| -quasi_total(A,cartesian_product2(B,B),B)| -relation_of2(A,cartesian_product2(B,B),B)| -function(C)| -quasi_total(C,cartesian_product2(B,B),B)| -relation_of2(C,cartesian_product2(B,B),B)|strict_latt_str(latt_str_of(B,A,C)).
% 2.44/2.62  ** KEPT (pick-wt=33): 52 [] -function(A)| -quasi_total(A,cartesian_product2(B,B),B)| -relation_of2(A,cartesian_product2(B,B),B)| -function(C)| -quasi_total(C,cartesian_product2(B,B),B)| -relation_of2(C,cartesian_product2(B,B),B)|latt_str(latt_str_of(B,A,C)).
% 2.44/2.62  ** KEPT (pick-wt=9): 53 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 54 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 55 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 2.44/2.62  ** KEPT (pick-wt=13): 56 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=13): 57 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 58 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 59 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 60 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 61 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 62 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=17): 63 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|element(cast_to_el_of_LattPOSet(A,B),the_carrier(poset_of_lattice(A))).
% 2.44/2.62  ** KEPT (pick-wt=9): 64 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=4): 65 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.44/2.62  ** KEPT (pick-wt=4): 66 [] -rel_str(A)|one_sorted_str(A).
% 2.44/2.62  ** KEPT (pick-wt=4): 67 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.44/2.62  ** KEPT (pick-wt=4): 68 [] -latt_str(A)|meet_semilatt_str(A).
% 2.44/2.62  ** KEPT (pick-wt=4): 69 [] -latt_str(A)|join_semilatt_str(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 70 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.44/2.62  ** KEPT (pick-wt=5): 71 [] -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.44/2.62  ** KEPT (pick-wt=12): 72 [] -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=12): 73 [] -meet_semilatt_str(A)|relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 74 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=5): 75 [] -join_semilatt_str(A)|function(the_L_join(A)).
% 2.44/2.62  ** KEPT (pick-wt=12): 76 [] -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=12): 77 [] -join_semilatt_str(A)|relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=3): 78 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.62    Following clause subsumed by 78 during input processing: 0 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=10): 79 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 2.44/2.62    Following clause subsumed by 49 during input processing: 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.44/2.62  ** KEPT (pick-wt=7): 80 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=3): 81 [] -empty(powerset(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 82 [] -relation_of2(A,singleton(B),singleton(B))| -empty_carrier(rel_str_of(singleton(B),A)).
% 2.44/2.62    Following clause subsumed by 49 during input processing: 0 [] -relation_of2(A,singleton(B),singleton(B))|strict_rel_str(rel_str_of(singleton(B),A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 83 [] -relation_of2(A,singleton(B),singleton(B))|trivial_carrier(rel_str_of(singleton(B),A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 84 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 58 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 59 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 60 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 61 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 85 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=9): 86 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 78 during input processing: 0 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 87 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 88 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 89 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 90 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 2.44/2.62  ** KEPT (pick-wt=15): 91 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.44/2.62  ** KEPT (pick-wt=3): 92 [] -empty(singleton(A)).
% 2.44/2.62    Following clause subsumed by 84 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 58 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 59 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 60 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 61 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 93 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|upper_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 85 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 86 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -upper_bounded_semilattstr(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 78 during input processing: 0 [] -empty_carrier(boole_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=35): 94 [] empty(A)| -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)| -empty_carrier(latt_str_of(A,B,C)).
% 2.44/2.62    Following clause subsumed by 51 during input processing: 0 [] empty(A)| -function(B)| -quasi_total(B,cartesian_product2(A,A),A)| -relation_of2(B,cartesian_product2(A,A),A)| -function(C)| -quasi_total(C,cartesian_product2(A,A),A)| -relation_of2(C,cartesian_product2(A,A),A)|strict_latt_str(latt_str_of(A,B,C)).
% 2.44/2.62    Following clause subsumed by 49 during input processing: 0 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 2.44/2.62  ** KEPT (pick-wt=18): 95 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|reflexive_relstr(rel_str_of(B,A)).
% 2.44/2.62  ** KEPT (pick-wt=18): 96 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|transitive_relstr(rel_str_of(B,A)).
% 2.44/2.62  ** KEPT (pick-wt=18): 97 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|antisymmetric_relstr(rel_str_of(B,A)).
% 2.44/2.62  ** KEPT (pick-wt=4): 98 [] -empty(unordered_pair(A,B)).
% 2.44/2.62    Following clause subsumed by 84 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 58 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 59 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 60 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 61 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 99 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|lower_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 85 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 86 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -lower_bounded_semilattstr(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 84 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 58 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 59 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 60 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 61 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=8): 100 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.44/2.62    Following clause subsumed by 84 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 58 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 59 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 60 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 61 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 101 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|lower_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 102 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|upper_bounded_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 103 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|bounded_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 85 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|with_suprema_relstr(poset_of_lattice(A)).
% 2.44/2.62    Following clause subsumed by 86 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|with_infima_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=11): 104 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)|complete_relstr(poset_of_lattice(A)).
% 2.44/2.62  ** KEPT (pick-wt=3): 105 [] -empty_carrier(boole_POSet(A)).
% 2.44/2.62    Following clause subsumed by 105 during input processing: 0 [] -empty_carrier(boole_POSet(A)).
% 2.44/2.62  ** KEPT (pick-wt=14): 106 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 2.44/2.62  ** KEPT (pick-wt=14): 107 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 2.44/2.62  ** KEPT (pick-wt=40): 108 [] -function(A)| -quasi_total(A,cartesian_product2(B,B),B)| -relation_of2(A,cartesian_product2(B,B),B)| -function(C)| -quasi_total(C,cartesian_product2(B,B),B)| -relation_of2(C,cartesian_product2(B,B),B)|latt_str_of(B,A,C)!=latt_str_of(D,E,F)|B=D.
% 2.44/2.62  ** KEPT (pick-wt=40): 109 [] -function(A)| -quasi_total(A,cartesian_product2(B,B),B)| -relation_of2(A,cartesian_product2(B,B),B)| -function(C)| -quasi_total(C,cartesian_product2(B,B),B)| -relation_of2(C,cartesian_product2(B,B),B)|latt_str_of(B,A,C)!=latt_str_of(D,E,F)|A=E.
% 2.44/2.62  ** KEPT (pick-wt=40): 110 [] -function(A)| -quasi_total(A,cartesian_product2(B,B),B)| -relation_of2(A,cartesian_product2(B,B),B)| -function(C)| -quasi_total(C,cartesian_product2(B,B),B)| -relation_of2(C,cartesian_product2(B,B),B)|latt_str_of(B,A,C)!=latt_str_of(D,E,F)|C=F.
% 2.44/2.62  ** KEPT (pick-wt=2): 111 [] -empty_carrier($c6).
% 2.44/2.62  ** KEPT (pick-wt=2): 112 [] -empty_carrier($c7).
% 2.44/2.62  ** KEPT (pick-wt=2): 113 [] -empty_carrier($c8).
% 2.44/2.62  ** KEPT (pick-wt=2): 114 [] -empty_carrier($c9).
% 2.44/2.62  ** KEPT (pick-wt=2): 115 [] -empty_carrier($c10).
% 2.44/2.62  ** KEPT (pick-wt=5): 116 [] empty(A)| -empty($f4(A)).
% 2.44/2.62  ** KEPT (pick-wt=2): 117 [] -empty_carrier($c13).
% 2.44/2.62  ** KEPT (pick-wt=2): 118 [] -empty_carrier($c14).
% 2.44/2.62  ** KEPT (pick-wt=2): 119 [] -empty_carrier($c15).
% 2.44/2.62  ** KEPT (pick-wt=2): 120 [] -empty($c16).
% 2.44/2.62  ** KEPT (pick-wt=2): 121 [] -empty_carrier($c17).
% 2.44/2.62  ** KEPT (pick-wt=2): 122 [] -empty_carrier($c19).
% 2.44/2.62  ** KEPT (pick-wt=10): 123 [] empty_carrier(A)| -one_sorted_str(A)|element($f7(A),powerset(the_carrier(A))).
% 2.44/2.62  ** KEPT (pick-wt=7): 124 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f7(A)).
% 2.44/2.62  ** KEPT (pick-wt=2): 125 [] -empty_carrier($c20).
% 2.44/2.62  ** KEPT (pick-wt=2): 126 [] -empty_carrier($c21).
% 2.44/2.62  ** KEPT (pick-wt=11): 128 [copy,127,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of_lattice(A)=k2_lattice3(A).
% 2.44/2.62  ** KEPT (pick-wt=8): 129 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.44/2.62  ** KEPT (pick-wt=8): 130 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.44/2.62  ** KEPT (pick-wt=26): 131 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 2.44/2.62  ** KEPT (pick-wt=26): 132 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 2.44/2.62  ** KEPT (pick-wt=22): 133 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -related_reflexive(A,B,C)|related(A,B,C).
% 2.44/2.62  ** KEPT (pick-wt=22): 134 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related_reflexive(A,B,C)| -related(A,B,C).
% 2.44/2.62  ** KEPT (pick-wt=18): 136 [copy,135,factor_simp] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))|below_refl(A,B,B).
% 2.44/2.62  ** KEPT (pick-wt=14): 138 [copy,137,factor_simp] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))|related_reflexive(A,B,B).
% 2.44/2.62  ** KEPT (pick-wt=6): 139 [] -in(A,B)|element(A,B).
% 2.44/2.62  ** KEPT (pick-wt=18): 140 [] -element(A,the_carrier(boole_lattice(B)))| -element(C,the_carrier(boole_lattice(B)))| -below(boole_lattice(B),A,C)|subset(A,C).
% 2.44/2.62  ** KEPT (pick-wt=18): 141 [] -element(A,the_carrier(boole_lattice(B)))| -element(C,the_carrier(boole_lattice(B)))|below(boole_lattice(B),A,C)| -subset(A,C).
% 2.44/2.62  ** KEPT (pick-wt=8): 142 [] -element(A,B)|empty(B)|in(A,B).
% 2.44/2.62  ** KEPT (pick-wt=8): 143 [] -related_reflexive(boole_POSet($c24),$c23,$c22)| -subset($c23,$c22).
% 2.44/2.62  ** KEPT (pick-wt=7): 144 [] -element(A,powerset(B))|subset(A,B).
% 2.44/2.62  ** KEPT (pick-wt=7): 145 [] element(A,powerset(B))| -subset(A,B).
% 2.44/2.62  ** KEPT (pick-wt=10): 146 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.44/2.62  ** KEPT (pick-wt=9): 147 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.44/2.62  ** KEPT (pick-wt=5): 148 [] -empty(A)|A=empty_set.
% 2.44/2.62  ** KEPT (pick-wt=5): 149 [] -in(A,B)| -empty(B).
% 2.44/2.62  ** KEPT (pick-wt=27): 150 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.44/2.62  ** KEPT (pick-wt=27): 151 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.44/2.62  ** KEPT (pick-wt=7): 152 [] -empty(A)|A=B| -empty(B).
% 2.44/2.62  16 back subsumes 6.
% 2.44/2.62  17 back subsumes 7.
% 2.44/2.62  18 back subsumes 8.
% 2.44/2.62  19 back subsumes 9.
% 2.44/2.62  20 back subsumes 10.
% 2.44/2.62  21 back subsumes 11.
% 2.44/2.62  
% 2.44/2.62  ------------> process sos:
% 2.44/2.62  ** KEPT (pick-wt=3): 170 [] A=A.
% 2.44/2.62  ** KEPT (pick-wt=7): 171 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.44/2.62  ** KEPT (pick-wt=6): 173 [copy,172,flip.1] poset_of_lattice(boole_lattice(A))=boole_POSet(A).
% 2.44/2.62  ---> New Demodulator: 174 [new_demod,173] poset_of_lattice(boole_lattice(A))=boole_POSet(A).
% 2.44/2.62  ** KEPT (pick-wt=10): 176 [copy,175,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.44/2.62  ---> New Demodulator: 177 [new_demod,176] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.44/2.63  ** KEPT (pick-wt=3): 178 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 179 [] latt_str(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 180 [] strict_rel_str(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 181 [] rel_str(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=2): 182 [] meet_semilatt_str($c1).
% 2.44/2.63  ** KEPT (pick-wt=2): 183 [] rel_str($c2).
% 2.44/2.63  ** KEPT (pick-wt=2): 184 [] one_sorted_str($c3).
% 2.44/2.63  ** KEPT (pick-wt=2): 185 [] join_semilatt_str($c4).
% 2.44/2.63  ** KEPT (pick-wt=2): 186 [] latt_str($c5).
% 2.44/2.63  ** KEPT (pick-wt=6): 187 [] relation_of2($f1(A,B),A,B).
% 2.44/2.63  ** KEPT (pick-wt=4): 188 [] element($f2(A),A).
% 2.44/2.63  ** KEPT (pick-wt=6): 189 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.44/2.63    Following clause subsumed by 178 during input processing: 0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 190 [] join_commutative(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 191 [] join_associative(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 192 [] meet_commutative(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 193 [] meet_associative(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 194 [] meet_absorbing(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 195 [] join_absorbing(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 196 [] lattice(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 197 [] distributive_lattstr(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 198 [] modular_lattstr(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 199 [] lower_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 200 [] upper_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 201 [] bounded_lattstr(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 202 [] complemented_lattstr(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 203 [] boolean_lattstr(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 204 [] complete_latt_str(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 178 during input processing: 0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.63  ** KEPT (pick-wt=2): 205 [] empty(empty_set).
% 2.44/2.63    Following clause subsumed by 178 during input processing: 0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 190 during input processing: 0 [] join_commutative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 191 during input processing: 0 [] join_associative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 192 during input processing: 0 [] meet_commutative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 193 during input processing: 0 [] meet_associative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 194 during input processing: 0 [] meet_absorbing(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 195 during input processing: 0 [] join_absorbing(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 196 during input processing: 0 [] lattice(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 178 during input processing: 0 [] strict_latt_str(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 190 during input processing: 0 [] join_commutative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 191 during input processing: 0 [] join_associative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 192 during input processing: 0 [] meet_commutative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 193 during input processing: 0 [] meet_associative(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 194 during input processing: 0 [] meet_absorbing(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 195 during input processing: 0 [] join_absorbing(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 196 during input processing: 0 [] lattice(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 197 during input processing: 0 [] distributive_lattstr(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 198 during input processing: 0 [] modular_lattstr(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 199 during input processing: 0 [] lower_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 200 during input processing: 0 [] upper_bounded_semilattstr(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 201 during input processing: 0 [] bounded_lattstr(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 202 during input processing: 0 [] complemented_lattstr(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 203 during input processing: 0 [] boolean_lattstr(boole_lattice(A)).
% 2.44/2.63    Following clause subsumed by 180 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 206 [] reflexive_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 207 [] transitive_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 208 [] antisymmetric_relstr(boole_POSet(A)).
% 2.44/2.63    Following clause subsumed by 180 during input processing: 0 [] strict_rel_str(boole_POSet(A)).
% 2.44/2.63    Following clause subsumed by 206 during input processing: 0 [] reflexive_relstr(boole_POSet(A)).
% 2.44/2.63    Following clause subsumed by 207 during input processing: 0 [] transitive_relstr(boole_POSet(A)).
% 2.44/2.63    Following clause subsumed by 208 during input processing: 0 [] antisymmetric_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 209 [] lower_bounded_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 210 [] upper_bounded_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 211 [] bounded_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 212 [] with_suprema_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 213 [] with_infima_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=3): 214 [] complete_relstr(boole_POSet(A)).
% 2.44/2.63  ** KEPT (pick-wt=2): 215 [] latt_str($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 216 [] strict_latt_str($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 217 [] join_commutative($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 218 [] join_associative($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 219 [] meet_commutative($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 220 [] meet_associative($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 221 [] meet_absorbing($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 222 [] join_absorbing($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 223 [] lattice($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 224 [] distributive_lattstr($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 225 [] modular_lattstr($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 226 [] lower_bounded_semilattstr($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 227 [] upper_bounded_semilattstr($c6).
% 2.44/2.63  ** KEPT (pick-wt=2): 228 [] latt_str($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 229 [] strict_latt_str($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 230 [] join_commutative($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 231 [] join_associative($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 232 [] meet_commutative($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 233 [] meet_associative($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 234 [] meet_absorbing($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 235 [] join_absorbing($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 236 [] lattice($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 237 [] lower_bounded_semilattstr($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 238 [] upper_bounded_semilattstr($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 239 [] bounded_lattstr($c7).
% 2.44/2.63  ** KEPT (pick-wt=2): 240 [] latt_str($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 241 [] strict_latt_str($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 242 [] join_commutative($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 243 [] join_associative($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 244 [] meet_commutative($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 245 [] meet_associative($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 246 [] meet_absorbing($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 247 [] join_absorbing($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 248 [] lattice($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 249 [] lower_bounded_semilattstr($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 250 [] upper_bounded_semilattstr($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 251 [] bounded_lattstr($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 252 [] complemented_lattstr($c8).
% 2.44/2.63  ** KEPT (pick-wt=2): 253 [] latt_str($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 254 [] strict_latt_str($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 255 [] join_commutative($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 256 [] join_associative($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 257 [] meet_commutative($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 258 [] meet_associative($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 259 [] meet_absorbing($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 260 [] join_absorbing($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 261 [] lattice($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 262 [] distributive_lattstr($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 263 [] lower_bounded_semilattstr($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 264 [] upper_bounded_semilattstr($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 265 [] bounded_lattstr($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 266 [] complemented_lattstr($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 267 [] boolean_lattstr($c9).
% 2.44/2.63  ** KEPT (pick-wt=2): 268 [] rel_str($c10).
% 2.44/2.63  ** KEPT (pick-wt=2): 269 [] strict_rel_str($c10).
% 2.44/2.63  ** KEPT (pick-wt=2): 270 [] reflexive_relstr($c10).
% 2.44/2.63  ** KEPT (pick-wt=2): 271 [] transitive_relstr($c10).
% 2.44/2.63  ** KEPT (pick-wt=2): 272 [] antisymmetric_relstr($c10).
% 5.90/6.06  ** KEPT (pick-wt=2): 273 [] complete_relstr($c10).
% 5.90/6.06  ** KEPT (pick-wt=2): 274 [] rel_str($c11).
% 5.90/6.06  ** KEPT (pick-wt=2): 275 [] strict_rel_str($c11).
% 5.90/6.06  ** KEPT (pick-wt=7): 276 [] empty(A)|element($f4(A),powerset(A)).
% 5.90/6.06  ** KEPT (pick-wt=2): 277 [] empty($c12).
% 5.90/6.06  ** KEPT (pick-wt=2): 278 [] rel_str($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 279 [] strict_rel_str($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 280 [] reflexive_relstr($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 281 [] transitive_relstr($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 282 [] antisymmetric_relstr($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 283 [] with_suprema_relstr($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 284 [] with_infima_relstr($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 285 [] complete_relstr($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 286 [] trivial_carrier($c13).
% 5.90/6.06  ** KEPT (pick-wt=2): 287 [] rel_str($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 288 [] strict_rel_str($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 289 [] reflexive_relstr($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 290 [] transitive_relstr($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 291 [] antisymmetric_relstr($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 292 [] with_suprema_relstr($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 293 [] with_infima_relstr($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 294 [] complete_relstr($c14).
% 5.90/6.06  ** KEPT (pick-wt=2): 295 [] rel_str($c15).
% 5.90/6.06  ** KEPT (pick-wt=2): 296 [] strict_rel_str($c15).
% 5.90/6.06  ** KEPT (pick-wt=2): 297 [] reflexive_relstr($c15).
% 5.90/6.06  ** KEPT (pick-wt=2): 298 [] transitive_relstr($c15).
% 5.90/6.06  ** KEPT (pick-wt=2): 299 [] antisymmetric_relstr($c15).
% 5.90/6.06  ** KEPT (pick-wt=6): 300 [] relation_of2($f5(A,B),A,B).
% 5.90/6.06  ** KEPT (pick-wt=4): 301 [] relation($f5(A,B)).
% 5.90/6.06  ** KEPT (pick-wt=4): 302 [] function($f5(A,B)).
% 5.90/6.06  ** KEPT (pick-wt=5): 303 [] element($f6(A),powerset(A)).
% 5.90/6.06  ** KEPT (pick-wt=3): 304 [] empty($f6(A)).
% 5.90/6.06  ** KEPT (pick-wt=2): 305 [] rel_str($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 306 [] reflexive_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 307 [] transitive_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 308 [] antisymmetric_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 309 [] with_suprema_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 310 [] with_infima_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 311 [] complete_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 312 [] lower_bounded_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 313 [] upper_bounded_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 314 [] bounded_relstr($c17).
% 5.90/6.06  ** KEPT (pick-wt=2): 315 [] latt_str($c18).
% 5.90/6.06  ** KEPT (pick-wt=2): 316 [] strict_latt_str($c18).
% 5.90/6.06  ** KEPT (pick-wt=2): 317 [] one_sorted_str($c19).
% 5.90/6.06  ** KEPT (pick-wt=2): 318 [] latt_str($c20).
% 5.90/6.06  ** KEPT (pick-wt=2): 319 [] strict_latt_str($c20).
% 5.90/6.06  ** KEPT (pick-wt=2): 320 [] latt_str($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 321 [] strict_latt_str($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 322 [] join_commutative($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 323 [] join_associative($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 324 [] meet_commutative($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 325 [] meet_associative($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 326 [] meet_absorbing($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 327 [] join_absorbing($c21).
% 5.90/6.06  ** KEPT (pick-wt=2): 328 [] lattice($c21).
% 5.90/6.06  ** KEPT (pick-wt=3): 329 [] subset(A,A).
% 5.90/6.06  ** KEPT (pick-wt=5): 330 [] element($c23,the_carrier(boole_POSet($c24))).
% 5.90/6.06  ** KEPT (pick-wt=5): 331 [] element($c22,the_carrier(boole_POSet($c24))).
% 5.90/6.06  ** KEPT (pick-wt=8): 332 [] related_reflexive(boole_POSet($c24),$c23,$c22)|subset($c23,$c22).
% 5.90/6.06    Following clause subsumed by 170 during input processing: 0 [copy,170,flip.1] A=A.
% 5.90/6.06  170 back subsumes 169.
% 5.90/6.06    Following clause subsumed by 171 during input processing: 0 [copy,171,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 5.90/6.06  >>>> Starting back demodulation with 174.
% 5.90/6.06  >>>> Starting back demodulation with 177.
% 5.90/6.06  329 back subsumes 165.
% 5.90/6.06  
% 5.90/6.06  ======= end of input processing =======
% 5.90/6.06  
% 5.90/6.06  =========== start of search ===========
% 5.90/6.06  
% 5.90/6.06  
% 5.90/6.06  Resetting weight limit to 2.
% 5.90/6.06  
% 5.90/6.06  
% 5.90/6.06  Resetting weight limit to 2.
% 5.90/6.06  
% 5.90/6.06  sos_size=448
% 5.90/6.06  
% 5.90/6.06  Search stopped because sos empty.
% 5.90/6.06  
% 5.90/6.06  
% 5.90/6.06  Search stopped because sos empty.
% 5.90/6.06  
% 5.90/6.06  ============ end of search ============
% 5.90/6.06  
% 5.90/6.06  -------------- statistics -------------
% 5.90/6.06  clauses given                511
% 5.90/6.06  clauses generated          92280
% 5.90/6.06  clauses kept                 674
% 5.90/6.06  clauses forward subsumed     522
% 5.90/6.06  clauses back subsumed          8
% 5.90/6.06  Kbytes malloced             5859
% 5.90/6.06  
% 5.90/6.06  ----------- times (seconds) -----------
% 5.90/6.06  user CPU time          3.46          (0 hr, 0 min, 3 sec)
% 5.90/6.06  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 5.90/6.06  wall-clock time        5             (0 hr, 0 min, 5 sec)
% 5.90/6.06  
% 5.90/6.06  Process 19833 finished Wed Jul 27 07:42:00 2022
% 5.90/6.06  Otter interrupted
% 5.90/6.06  PROOF NOT FOUND
%------------------------------------------------------------------------------