TSTP Solution File: SEU346+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU346+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:47 EDT 2022
% Result : Unknown 4.84s 5.01s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU346+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.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 07:51:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.20/2.39 ----- Otter 3.3f, August 2004 -----
% 2.20/2.39 The process was started by sandbox2 on n018.cluster.edu,
% 2.20/2.39 Wed Jul 27 07:51:46 2022
% 2.20/2.39 The command was "./otter". The process ID is 24411.
% 2.20/2.39
% 2.20/2.39 set(prolog_style_variables).
% 2.20/2.39 set(auto).
% 2.20/2.39 dependent: set(auto1).
% 2.20/2.39 dependent: set(process_input).
% 2.20/2.39 dependent: clear(print_kept).
% 2.20/2.39 dependent: clear(print_new_demod).
% 2.20/2.39 dependent: clear(print_back_demod).
% 2.20/2.39 dependent: clear(print_back_sub).
% 2.20/2.39 dependent: set(control_memory).
% 2.20/2.39 dependent: assign(max_mem, 12000).
% 2.20/2.39 dependent: assign(pick_given_ratio, 4).
% 2.20/2.39 dependent: assign(stats_level, 1).
% 2.20/2.39 dependent: assign(max_seconds, 10800).
% 2.20/2.39 clear(print_given).
% 2.20/2.39
% 2.20/2.39 formula_list(usable).
% 2.20/2.39 all A (A=A).
% 2.20/2.39 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 2.20/2.39 all A (latt_str(A)-> (strict_latt_str(A)->A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)))).
% 2.20/2.39 all A B (in(A,B)-> -in(B,A)).
% 2.20/2.39 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))).
% 2.20/2.39 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.20/2.39 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))).
% 2.20/2.39 all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 2.20/2.39 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A))).
% 2.20/2.39 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))).
% 2.20/2.39 all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 2.20/2.39 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)))))))).
% 2.20/2.39 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 2.20/2.39 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))).
% 2.20/2.39 all A B C D (-empty_carrier(A)&lattice(A)&latt_str(A)& -empty_carrier(B)&lattice(B)&latt_str(B)&element(C,the_carrier(A))&element(D,the_carrier(B))->element(k10_filter_1(A,B,C,D),the_carrier(k8_filter_1(A,B)))).
% 2.20/2.39 all A B C D (-empty(A)& -empty(B)&element(C,A)&element(D,B)->element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B))).
% 2.20/2.39 $T.
% 2.20/2.39 $T.
% 2.20/2.39 $T.
% 2.20/2.39 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))).
% 2.20/2.39 $T.
% 2.20/2.39 $T.
% 2.20/2.39 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))).
% 2.20/2.39 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)))).
% 2.20/2.39 $T.
% 2.20/2.39 all A B (-empty_carrier(A)&latt_str(A)& -empty_carrier(B)&latt_str(B)->strict_latt_str(k8_filter_1(A,B))&latt_str(k8_filter_1(A,B))).
% 2.20/2.39 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->relation(relation_of_lattice(A))).
% 2.20/2.39 all A (meet_semilatt_str(A)->one_sorted_str(A)).
% 2.20/2.39 all A (rel_str(A)->one_sorted_str(A)).
% 2.20/2.39 $T.
% 2.20/2.39 all A (join_semilatt_str(A)->one_sorted_str(A)).
% 2.20/2.39 all A (latt_str(A)->meet_semilatt_str(A)&join_semilatt_str(A)).
% 2.20/2.39 $T.
% 2.20/2.39 $T.
% 2.20/2.39 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.20/2.39 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))).
% 2.20/2.39 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.20/2.39 $T.
% 2.20/2.39 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))).
% 2.20/2.39 exists A meet_semilatt_str(A).
% 2.20/2.39 exists A rel_str(A).
% 2.20/2.39 exists A one_sorted_str(A).
% 2.20/2.39 exists A join_semilatt_str(A).
% 2.20/2.39 exists A latt_str(A).
% 2.20/2.39 all A B exists C relation_of2(C,A,B).
% 2.20/2.39 all A exists B element(B,A).
% 2.20/2.39 all A B exists C relation_of2_as_subset(C,A,B).
% 2.20/2.39 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))).
% 2.20/2.39 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.20/2.39 all A (-empty(powerset(A))).
% 2.20/2.39 empty(empty_set).
% 2.20/2.39 all A (-empty_carrier(A)&join_commutative(A)&join_semilatt_str(A)->relation(the_L_join(A))&function(the_L_join(A))&quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&v1_binop_1(the_L_join(A),the_carrier(A))&v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.20/2.39 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))).
% 2.20/2.39 all A (-empty(singleton(A))).
% 2.20/2.39 all A (-empty_carrier(A)&join_associative(A)&join_semilatt_str(A)->relation(the_L_join(A))&function(the_L_join(A))&quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&v2_binop_1(the_L_join(A),the_carrier(A))&v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.20/2.39 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))).
% 2.20/2.39 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))).
% 2.20/2.39 all A B (-empty(unordered_pair(A,B))).
% 2.20/2.39 all A (-empty_carrier(A)&meet_commutative(A)&meet_semilatt_str(A)->relation(the_L_meet(A))&function(the_L_meet(A))&quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&v1_binop_1(the_L_meet(A),the_carrier(A))&v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.20/2.39 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))).
% 2.20/2.39 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.20/2.39 all A (-empty_carrier(A)&meet_associative(A)&meet_semilatt_str(A)->relation(the_L_meet(A))&function(the_L_meet(A))&quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))&v2_binop_1(the_L_meet(A),the_carrier(A))&v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A))).
% 2.20/2.39 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))).
% 2.20/2.39 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))).
% 2.20/2.39 exists A (rel_str(A)&strict_rel_str(A)).
% 2.20/2.39 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.20/2.39 exists A empty(A).
% 2.20/2.39 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)).
% 2.20/2.39 all A exists B (element(B,powerset(A))&empty(B)).
% 2.20/2.39 exists A (-empty(A)).
% 2.20/2.39 exists A (latt_str(A)&strict_latt_str(A)).
% 2.20/2.39 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.20/2.39 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.20/2.39 exists A (latt_str(A)& -empty_carrier(A)&strict_latt_str(A)).
% 2.20/2.39 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)).
% 2.20/2.39 all A B C D (-empty_carrier(A)&lattice(A)&latt_str(A)& -empty_carrier(B)&lattice(B)&latt_str(B)&element(C,the_carrier(A))&element(D,the_carrier(B))->k10_filter_1(A,B,C,D)=ordered_pair(C,D)).
% 2.20/2.39 all A B C D (-empty(A)& -empty(B)&element(C,A)&element(D,B)->ordered_pair_as_product_element(A,B,C,D)=ordered_pair(C,D)).
% 2.20/2.39 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->k2_lattice3(A)=relation_of_lattice(A)).
% 2.20/2.39 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.20/2.39 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))).
% 2.20/2.39 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))).
% 2.20/2.39 all A B subset(A,A).
% 2.20/2.39 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)).
% 2.20/2.39 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)).
% 2.20/2.39 all A B (in(A,B)->element(A,B)).
% 2.20/2.39 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.20/2.39 all A (-empty_carrier(A)&lattice(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))-> (in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))<->below_refl(A,B,C))))))).
% 2.20/2.39 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.20/2.39 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.20/2.39 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.20/2.39 all A (empty(A)->A=empty_set).
% 2.20/2.39 all A B (-(in(A,B)&empty(B))).
% 2.20/2.39 -(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))))))))).
% 2.20/2.39 all A B (-(empty(A)&A!=B&empty(B))).
% 2.20/2.39 end_of_list.
% 2.20/2.39
% 2.20/2.39 -------> usable clausifies to:
% 2.20/2.39
% 2.20/2.39 list(usable).
% 2.20/2.39 0 [] A=A.
% 2.20/2.39 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 2.20/2.39 0 [] -latt_str(A)| -strict_latt_str(A)|A=latt_str_of(the_carrier(A),the_L_join(A),the_L_meet(A)).
% 2.20/2.39 0 [] -in(A,B)| -in(B,A).
% 2.20/2.39 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.20/2.39 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.20/2.39 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.20/2.39 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.20/2.39 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.20/2.39 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.20/2.39 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.20/2.39 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).
% 2.20/2.39 0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 2.20/2.39 0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 2.20/2.39 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)).
% 2.20/2.39 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)).
% 2.20/2.39 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.20/2.39 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 2.20/2.39 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)).
% 2.20/2.39 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)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(A))| -element(D,the_carrier(B))|element(k10_filter_1(A,B,C,D),the_carrier(k8_filter_1(A,B))).
% 2.20/2.39 0 [] empty(A)|empty(B)| -element(C,A)| -element(D,B)|element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B)).
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 2.20/2.39 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))).
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] empty_carrier(A)| -latt_str(A)|empty_carrier(B)| -latt_str(B)|strict_latt_str(k8_filter_1(A,B)).
% 2.20/2.39 0 [] empty_carrier(A)| -latt_str(A)|empty_carrier(B)| -latt_str(B)|latt_str(k8_filter_1(A,B)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 2.20/2.39 0 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.20/2.39 0 [] -rel_str(A)|one_sorted_str(A).
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.20/2.39 0 [] -latt_str(A)|meet_semilatt_str(A).
% 2.20/2.39 0 [] -latt_str(A)|join_semilatt_str(A).
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.20/2.39 0 [] -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.20/2.39 0 [] -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] -meet_semilatt_str(A)|relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.20/2.39 0 [] $T.
% 2.20/2.39 0 [] -join_semilatt_str(A)|function(the_L_join(A)).
% 2.20/2.39 0 [] -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] -join_semilatt_str(A)|relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] meet_semilatt_str($c1).
% 2.20/2.39 0 [] rel_str($c2).
% 2.20/2.39 0 [] one_sorted_str($c3).
% 2.20/2.39 0 [] join_semilatt_str($c4).
% 2.20/2.39 0 [] latt_str($c5).
% 2.20/2.39 0 [] relation_of2($f1(A,B),A,B).
% 2.20/2.39 0 [] element($f2(A),A).
% 2.20/2.39 0 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.20/2.39 0 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 2.20/2.39 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.20/2.39 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.20/2.39 0 [] -empty(powerset(A)).
% 2.20/2.39 0 [] empty(empty_set).
% 2.20/2.39 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|relation(the_L_join(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|function(the_L_join(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|v1_binop_1(the_L_join(A),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.20/2.39 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 2.20/2.39 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 2.20/2.39 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 2.20/2.39 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.20/2.39 0 [] -empty(singleton(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|relation(the_L_join(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|function(the_L_join(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|v2_binop_1(the_L_join(A),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 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)).
% 2.20/2.39 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)).
% 2.20/2.39 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)).
% 2.20/2.39 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|reflexive_relstr(rel_str_of(A,B)).
% 2.20/2.39 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|transitive_relstr(rel_str_of(A,B)).
% 2.20/2.39 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|antisymmetric_relstr(rel_str_of(A,B)).
% 2.20/2.39 0 [] -empty(unordered_pair(A,B)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_binop_1(the_L_meet(A),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.20/2.39 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v2_binop_1(the_L_meet(A),the_carrier(A)).
% 2.20/2.39 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.39 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 2.20/2.39 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 2.20/2.39 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.
% 2.20/2.39 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.
% 2.20/2.39 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.
% 2.20/2.39 0 [] rel_str($c6).
% 2.20/2.39 0 [] strict_rel_str($c6).
% 2.20/2.39 0 [] empty(A)|element($f4(A),powerset(A)).
% 2.20/2.39 0 [] empty(A)| -empty($f4(A)).
% 2.20/2.39 0 [] empty($c7).
% 2.20/2.39 0 [] rel_str($c8).
% 2.20/2.39 0 [] -empty_carrier($c8).
% 2.20/2.39 0 [] strict_rel_str($c8).
% 2.20/2.39 0 [] reflexive_relstr($c8).
% 2.20/2.39 0 [] transitive_relstr($c8).
% 2.20/2.39 0 [] antisymmetric_relstr($c8).
% 2.20/2.39 0 [] element($f5(A),powerset(A)).
% 2.20/2.39 0 [] empty($f5(A)).
% 2.20/2.39 0 [] -empty($c9).
% 2.20/2.39 0 [] latt_str($c10).
% 2.20/2.39 0 [] strict_latt_str($c10).
% 2.20/2.39 0 [] one_sorted_str($c11).
% 2.20/2.39 0 [] -empty_carrier($c11).
% 2.20/2.39 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f6(A),powerset(the_carrier(A))).
% 2.20/2.39 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f6(A)).
% 2.20/2.39 0 [] latt_str($c12).
% 2.20/2.39 0 [] -empty_carrier($c12).
% 2.20/2.39 0 [] strict_latt_str($c12).
% 2.20/2.39 0 [] latt_str($c13).
% 2.20/2.39 0 [] -empty_carrier($c13).
% 2.20/2.39 0 [] strict_latt_str($c13).
% 2.20/2.39 0 [] join_commutative($c13).
% 2.20/2.39 0 [] join_associative($c13).
% 2.20/2.39 0 [] meet_commutative($c13).
% 2.20/2.39 0 [] meet_associative($c13).
% 2.20/2.39 0 [] meet_absorbing($c13).
% 2.20/2.39 0 [] join_absorbing($c13).
% 2.20/2.39 0 [] lattice($c13).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(A))| -element(D,the_carrier(B))|k10_filter_1(A,B,C,D)=ordered_pair(C,D).
% 2.20/2.39 0 [] empty(A)|empty(B)| -element(C,A)| -element(D,B)|ordered_pair_as_product_element(A,B,C,D)=ordered_pair(C,D).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|k2_lattice3(A)=relation_of_lattice(A).
% 2.20/2.39 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.20/2.39 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.20/2.39 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).
% 2.20/2.39 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).
% 2.20/2.39 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).
% 2.20/2.39 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).
% 2.20/2.39 0 [] subset(A,A).
% 2.20/2.39 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).
% 2.20/2.39 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).
% 2.20/2.39 0 [] -in(A,B)|element(A,B).
% 2.20/2.39 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))|below_refl(A,B,C).
% 2.20/2.39 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))| -below_refl(A,B,C).
% 2.20/2.39 0 [] -element(A,powerset(B))|subset(A,B).
% 2.20/2.39 0 [] element(A,powerset(B))| -subset(A,B).
% 2.20/2.39 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.20/2.39 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.20/2.39 0 [] -empty(A)|A=empty_set.
% 2.20/2.40 0 [] -in(A,B)| -empty(B).
% 2.20/2.40 0 [] -empty_carrier($c16).
% 2.20/2.40 0 [] lattice($c16).
% 2.20/2.40 0 [] latt_str($c16).
% 2.20/2.40 0 [] element($c15,the_carrier($c16)).
% 2.20/2.40 0 [] element($c14,the_carrier($c16)).
% 2.20/2.40 0 [] below_refl($c16,$c15,$c14)|related_reflexive(poset_of_lattice($c16),cast_to_el_of_LattPOSet($c16,$c15),cast_to_el_of_LattPOSet($c16,$c14)).
% 2.20/2.40 0 [] -below_refl($c16,$c15,$c14)| -related_reflexive(poset_of_lattice($c16),cast_to_el_of_LattPOSet($c16,$c15),cast_to_el_of_LattPOSet($c16,$c14)).
% 2.20/2.40 0 [] -empty(A)|A=B| -empty(B).
% 2.20/2.40 end_of_list.
% 2.20/2.40
% 2.20/2.40 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.20/2.40
% 2.20/2.40 This ia a non-Horn set with equality. The strategy will be
% 2.20/2.40 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.20/2.40 deletion, with positive clauses in sos and nonpositive
% 2.20/2.40 clauses in usable.
% 2.20/2.40
% 2.20/2.40 dependent: set(knuth_bendix).
% 2.20/2.40 dependent: set(anl_eq).
% 2.20/2.40 dependent: set(para_from).
% 2.20/2.40 dependent: set(para_into).
% 2.20/2.40 dependent: clear(para_from_right).
% 2.20/2.40 dependent: clear(para_into_right).
% 2.20/2.40 dependent: set(para_from_vars).
% 2.20/2.40 dependent: set(eq_units_both_ways).
% 2.20/2.40 dependent: set(dynamic_demod_all).
% 2.20/2.40 dependent: set(dynamic_demod).
% 2.20/2.40 dependent: set(order_eq).
% 2.20/2.40 dependent: set(back_demod).
% 2.20/2.40 dependent: set(lrpo).
% 2.20/2.40 dependent: set(hyper_res).
% 2.20/2.40 dependent: set(unit_deletion).
% 2.20/2.40 dependent: set(factor).
% 2.20/2.40
% 2.20/2.40 ------------> process usable:
% 2.20/2.40 ** 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.
% 2.20/2.40 ** 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.
% 2.20/2.40 ** KEPT (pick-wt=6): 5 [] -in(A,B)| -in(B,A).
% 2.20/2.40 ** KEPT (pick-wt=8): 6 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.20/2.40 ** KEPT (pick-wt=8): 7 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.20/2.40 ** KEPT (pick-wt=8): 8 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.20/2.40 ** KEPT (pick-wt=8): 9 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.20/2.40 ** KEPT (pick-wt=8): 10 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.20/2.40 ** KEPT (pick-wt=8): 11 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.20/2.40 ** KEPT (pick-wt=8): 12 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.20/2.40 ** KEPT (pick-wt=18): 13 [] -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).
% 2.20/2.40 ** KEPT (pick-wt=14): 15 [copy,14,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str_of(the_carrier(A),k2_lattice3(A))=poset_of_lattice(A).
% 2.20/2.40 ** KEPT (pick-wt=15): 16 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 2.20/2.40 ** KEPT (pick-wt=20): 17 [] -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)).
% 2.20/2.40 ** KEPT (pick-wt=20): 18 [] -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)).
% 2.20/2.40 ** KEPT (pick-wt=8): 19 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 2.20/2.40 ** KEPT (pick-wt=8): 20 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 2.20/2.40 ** KEPT (pick-wt=33): 21 [] -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)).
% 2.20/2.40 ** KEPT (pick-wt=33): 22 [] -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)).
% 2.20/2.40 ** KEPT (pick-wt=30): 23 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(A))| -element(D,the_carrier(B))|element(k10_filter_1(A,B,C,D),the_carrier(k8_filter_1(A,B))).
% 2.20/2.40 ** KEPT (pick-wt=19): 24 [] empty(A)|empty(B)| -element(C,A)| -element(D,B)|element(ordered_pair_as_product_element(A,B,C,D),cartesian_product2(A,B)).
% 2.20/2.40 ** KEPT (pick-wt=9): 25 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 26 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 27 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 2.20/2.40 ** KEPT (pick-wt=13): 28 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=13): 29 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 30 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 31 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 32 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 33 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 34 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 2.20/2.40 ** KEPT (pick-wt=17): 35 [] 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))).
% 2.20/2.40 ** KEPT (pick-wt=12): 36 [] empty_carrier(A)| -latt_str(A)|empty_carrier(B)| -latt_str(B)|strict_latt_str(k8_filter_1(A,B)).
% 2.20/2.40 ** KEPT (pick-wt=12): 37 [] empty_carrier(A)| -latt_str(A)|empty_carrier(B)| -latt_str(B)|latt_str(k8_filter_1(A,B)).
% 2.20/2.40 ** KEPT (pick-wt=9): 38 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 2.20/2.40 ** KEPT (pick-wt=4): 39 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.20/2.40 ** KEPT (pick-wt=4): 40 [] -rel_str(A)|one_sorted_str(A).
% 2.20/2.40 ** KEPT (pick-wt=4): 41 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.20/2.40 ** KEPT (pick-wt=4): 42 [] -latt_str(A)|meet_semilatt_str(A).
% 2.20/2.40 ** KEPT (pick-wt=4): 43 [] -latt_str(A)|join_semilatt_str(A).
% 2.20/2.40 ** KEPT (pick-wt=10): 44 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.20/2.40 ** KEPT (pick-wt=5): 45 [] -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.20/2.40 ** KEPT (pick-wt=12): 46 [] -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=12): 47 [] -meet_semilatt_str(A)|relation_of2_as_subset(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 48 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=5): 49 [] -join_semilatt_str(A)|function(the_L_join(A)).
% 2.20/2.40 ** KEPT (pick-wt=12): 50 [] -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=12): 51 [] -join_semilatt_str(A)|relation_of2_as_subset(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=10): 52 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 2.20/2.40 Following clause subsumed by 19 during input processing: 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.20/2.40 ** KEPT (pick-wt=7): 53 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=3): 54 [] -empty(powerset(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 55 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|relation(the_L_join(A)).
% 2.20/2.40 Following clause subsumed by 49 during input processing: 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|function(the_L_join(A)).
% 2.20/2.40 Following clause subsumed by 50 during input processing: 0 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=11): 56 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|v1_binop_1(the_L_join(A),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=16): 57 [] empty_carrier(A)| -join_commutative(A)| -join_semilatt_str(A)|v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=11): 58 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.20/2.40 ** KEPT (pick-wt=11): 59 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 2.20/2.40 ** KEPT (pick-wt=11): 60 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 2.20/2.40 ** KEPT (pick-wt=11): 61 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 2.20/2.40 ** KEPT (pick-wt=15): 62 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.20/2.40 ** KEPT (pick-wt=3): 63 [] -empty(singleton(A)).
% 2.20/2.40 ** KEPT (pick-wt=9): 64 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|relation(the_L_join(A)).
% 2.20/2.40 Following clause subsumed by 49 during input processing: 0 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|function(the_L_join(A)).
% 2.26/2.40 Following clause subsumed by 50 during input processing: 0 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|quasi_total(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=11): 65 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|v2_binop_1(the_L_join(A),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=16): 66 [] empty_carrier(A)| -join_associative(A)| -join_semilatt_str(A)|v1_partfun1(the_L_join(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=35): 67 [] 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)).
% 2.26/2.40 Following clause subsumed by 21 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)).
% 2.26/2.40 Following clause subsumed by 19 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)).
% 2.26/2.40 ** KEPT (pick-wt=18): 68 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|reflexive_relstr(rel_str_of(B,A)).
% 2.26/2.40 ** KEPT (pick-wt=18): 69 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|transitive_relstr(rel_str_of(B,A)).
% 2.26/2.40 ** KEPT (pick-wt=18): 70 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|antisymmetric_relstr(rel_str_of(B,A)).
% 2.26/2.40 ** KEPT (pick-wt=4): 71 [] -empty(unordered_pair(A,B)).
% 2.26/2.40 ** KEPT (pick-wt=9): 72 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.26/2.40 Following clause subsumed by 45 during input processing: 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.26/2.40 Following clause subsumed by 46 during input processing: 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=11): 73 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_binop_1(the_L_meet(A),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=16): 74 [] empty_carrier(A)| -meet_commutative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=9): 75 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.26/2.40 Following clause subsumed by 30 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.26/2.40 Following clause subsumed by 31 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.26/2.40 Following clause subsumed by 32 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.26/2.40 Following clause subsumed by 33 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.26/2.40 ** KEPT (pick-wt=8): 76 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.26/2.40 ** KEPT (pick-wt=9): 77 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|relation(the_L_meet(A)).
% 2.26/2.40 Following clause subsumed by 45 during input processing: 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|function(the_L_meet(A)).
% 2.26/2.40 Following clause subsumed by 46 during input processing: 0 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|quasi_total(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=11): 78 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v2_binop_1(the_L_meet(A),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=16): 79 [] empty_carrier(A)| -meet_associative(A)| -meet_semilatt_str(A)|v1_partfun1(the_L_meet(A),cartesian_product2(the_carrier(A),the_carrier(A)),the_carrier(A)).
% 2.26/2.40 ** KEPT (pick-wt=14): 80 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 2.26/2.40 ** KEPT (pick-wt=14): 81 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 2.26/2.40 ** KEPT (pick-wt=40): 82 [] -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.
% 2.26/2.40 ** KEPT (pick-wt=40): 83 [] -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.
% 2.26/2.40 ** KEPT (pick-wt=40): 84 [] -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.
% 2.26/2.40 ** KEPT (pick-wt=5): 85 [] empty(A)| -empty($f4(A)).
% 2.26/2.40 ** KEPT (pick-wt=2): 86 [] -empty_carrier($c8).
% 2.26/2.40 ** KEPT (pick-wt=2): 87 [] -empty($c9).
% 2.26/2.40 ** KEPT (pick-wt=2): 88 [] -empty_carrier($c11).
% 2.26/2.40 ** KEPT (pick-wt=10): 89 [] empty_carrier(A)| -one_sorted_str(A)|element($f6(A),powerset(the_carrier(A))).
% 2.26/2.40 ** KEPT (pick-wt=7): 90 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f6(A)).
% 2.26/2.40 ** KEPT (pick-wt=2): 91 [] -empty_carrier($c12).
% 2.26/2.40 ** KEPT (pick-wt=2): 92 [] -empty_carrier($c13).
% 2.26/2.40 ** KEPT (pick-wt=29): 93 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(A))| -element(D,the_carrier(B))|k10_filter_1(A,B,C,D)=ordered_pair(C,D).
% 2.26/2.40 ** KEPT (pick-wt=19): 94 [] empty(A)|empty(B)| -element(C,A)| -element(D,B)|ordered_pair_as_product_element(A,B,C,D)=ordered_pair(C,D).
% 2.26/2.40 ** KEPT (pick-wt=11): 96 [copy,95,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of_lattice(A)=k2_lattice3(A).
% 2.26/2.40 ** KEPT (pick-wt=8): 97 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=8): 98 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=26): 99 [] 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).
% 2.26/2.40 ** KEPT (pick-wt=26): 100 [] 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).
% 2.26/2.40 ** KEPT (pick-wt=22): 101 [] 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).
% 2.26/2.40 ** KEPT (pick-wt=22): 102 [] 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).
% 2.26/2.40 ** KEPT (pick-wt=18): 104 [copy,103,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).
% 2.26/2.40 ** KEPT (pick-wt=14): 106 [copy,105,factor_simp] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))|related_reflexive(A,B,B).
% 2.26/2.40 ** KEPT (pick-wt=6): 107 [] -in(A,B)|element(A,B).
% 2.26/2.40 ** KEPT (pick-wt=8): 108 [] -element(A,B)|empty(B)|in(A,B).
% 2.26/2.40 ** KEPT (pick-wt=28): 109 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))|below_refl(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=28): 110 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|in(ordered_pair_as_product_element(the_carrier(A),the_carrier(A),B,C),relation_of_lattice(A))| -below_refl(A,B,C).
% 2.26/2.40 ** KEPT (pick-wt=7): 111 [] -element(A,powerset(B))|subset(A,B).
% 2.26/2.40 ** KEPT (pick-wt=7): 112 [] element(A,powerset(B))| -subset(A,B).
% 2.26/2.40 ** KEPT (pick-wt=10): 113 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.26/2.40 ** KEPT (pick-wt=9): 114 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.26/2.40 ** KEPT (pick-wt=5): 115 [] -empty(A)|A=empty_set.
% 2.26/2.40 ** KEPT (pick-wt=5): 116 [] -in(A,B)| -empty(B).
% 2.26/2.40 ** KEPT (pick-wt=2): 117 [] -empty_carrier($c16).
% 2.26/2.40 ** KEPT (pick-wt=13): 118 [] -below_refl($c16,$c15,$c14)| -related_reflexive(poset_of_lattice($c16),cast_to_el_of_LattPOSet($c16,$c15),cast_to_el_of_LattPOSet($c16,$c14)).
% 2.26/2.40 ** KEPT (pick-wt=7): 119 [] -empty(A)|A=B| -empty(B).
% 2.26/2.40
% 2.26/2.40 ------------> process sos:
% 2.26/2.40 ** KEPT (pick-wt=3): 145 [] A=A.
% 2.26/2.40 ** KEPT (pick-wt=7): 146 [] unordered_pair(A,B)=unordered_pair(B,A).
% 2.26/2.40 ** KEPT (pick-wt=10): 148 [copy,147,flip.1] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.26/2.40 ---> New Demodulator: 149 [new_demod,148] unordered_pair(unordered_pair(A,B),singleton(A))=ordered_pair(A,B).
% 2.26/2.40 ** KEPT (pick-wt=2): 150 [] meet_semilatt_str($c1).
% 2.26/2.40 ** KEPT (pick-wt=2): 151 [] rel_str($c2).
% 2.26/2.40 ** KEPT (pick-wt=2): 152 [] one_sorted_str($c3).
% 2.26/2.40 ** KEPT (pick-wt=2): 153 [] join_semilatt_str($c4).
% 2.26/2.40 ** KEPT (pick-wt=2): 154 [] latt_str($c5).
% 2.26/2.40 ** KEPT (pick-wt=6): 155 [] relation_of2($f1(A,B),A,B).
% 2.26/2.40 ** KEPT (pick-wt=4): 156 [] element($f2(A),A).
% 2.26/2.40 ** KEPT (pick-wt=6): 157 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.26/2.40 ** KEPT (pick-wt=2): 158 [] empty(empty_set).
% 2.26/2.40 ** KEPT (pick-wt=2): 159 [] rel_str($c6).
% 2.26/2.40 ** KEPT (pick-wt=2): 160 [] strict_rel_str($c6).
% 2.26/2.40 ** KEPT (pick-wt=7): 161 [] empty(A)|element($f4(A),powerset(A)).
% 2.26/2.40 ** KEPT (pick-wt=2): 162 [] empty($c7).
% 2.26/2.40 ** KEPT (pick-wt=2): 163 [] rel_str($c8).
% 2.26/2.40 ** KEPT (pick-wt=2): 164 [] strict_rel_str($c8).
% 2.26/2.40 ** KEPT (pick-wt=2): 165 [] reflexive_relstr($c8).
% 2.26/2.40 ** KEPT (pick-wt=2): 166 [] transitive_relstr($c8).
% 2.26/2.40 ** KEPT (pick-wt=2): 167 [] antisymmetric_relstr($c8).
% 2.26/2.40 ** KEPT (pick-wt=5): 168 [] element($f5(A),powerset(A)).
% 2.26/2.40 ** KEPT (pick-wt=3): 169 [] empty($f5(A)).
% 2.26/2.40 ** KEPT (pick-wt=2): 170 [] latt_str($c10).
% 2.26/2.40 ** KEPT (pick-wt=2): 171 [] strict_latt_str($c10).
% 2.26/2.40 ** KEPT (pick-wt=2): 172 [] one_sorted_str($c11).
% 2.26/2.40 ** KEPT (pick-wt=2): 173 [] latt_str($c12).
% 2.26/2.40 ** KEPT (pick-wt=2): 174 [] strict_latt_str($c12).
% 2.26/2.40 ** KEPT (pick-wt=2): 175 [] latt_str($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 176 [] strict_latt_str($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 177 [] join_commutative($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 178 [] join_associative($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 179 [] meet_commutative($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 180 [] meet_associative($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 181 [] meet_absorbing($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 182 [] join_absorbing($c13).
% 2.26/2.40 ** KEPT (pick-wt=2): 183 [] lattice($c13).
% 2.26/2.40 ** KEPT (pick-wt=3): 184 [] subset(A,A).
% 2.26/2.40 ** KEPT (pick-wt=2): 185 [] lattice($c16).
% 2.26/2.40 ** KEPT (pick-wt=2): 186 [] latt_str($c16).
% 2.26/2.40 ** KEPT (pick-wt=4): 187 [] element($c15,the_carrier($c16)).
% 2.26/2.40 ** KEPT (pick-wt=4): 188 [] element($c14,the_carrier($c16)).
% 2.26/2.40 ** KEPT (pick-wt=13): 189 [] below_refl($c16,$c15,$c14)|related_reflexive(poset_of_lattice($c16),cast_to_el_of_LattPOSet($c16,$c15),cast_to_el_of_LattPOSet($c16,$c14)).
% 2.26/2.40 Following clause subsumed by 145 during input processing: 0 [copy,145,flip.1] A=A.
% 2.26/2.40 145 back subsumes 144.
% 4.84/5.01 Following clause subsumed by 146 during input processing: 0 [copy,146,flip.1] unordered_pair(A,B)=unordered_pair(B,A).
% 4.84/5.01 >>>> Starting back demodulation with 149.
% 4.84/5.01
% 4.84/5.01 ======= end of input processing =======
% 4.84/5.01
% 4.84/5.01 =========== start of search ===========
% 4.84/5.01
% 4.84/5.01
% 4.84/5.01 Resetting weight limit to 2.
% 4.84/5.01
% 4.84/5.01
% 4.84/5.01 Resetting weight limit to 2.
% 4.84/5.01
% 4.84/5.01 sos_size=336
% 4.84/5.01
% 4.84/5.01 Search stopped because sos empty.
% 4.84/5.01
% 4.84/5.01
% 4.84/5.01 Search stopped because sos empty.
% 4.84/5.01
% 4.84/5.01 ============ end of search ============
% 4.84/5.01
% 4.84/5.01 -------------- statistics -------------
% 4.84/5.01 clauses given 376
% 4.84/5.01 clauses generated 69463
% 4.84/5.01 clauses kept 529
% 4.84/5.01 clauses forward subsumed 417
% 4.84/5.01 clauses back subsumed 1
% 4.84/5.01 Kbytes malloced 5859
% 4.84/5.01
% 4.84/5.01 ----------- times (seconds) -----------
% 4.84/5.01 user CPU time 2.62 (0 hr, 0 min, 2 sec)
% 4.84/5.01 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 4.84/5.01 wall-clock time 5 (0 hr, 0 min, 5 sec)
% 4.84/5.01
% 4.84/5.01 Process 24411 finished Wed Jul 27 07:51:51 2022
% 4.84/5.01 Otter interrupted
% 4.84/5.01 PROOF NOT FOUND
%------------------------------------------------------------------------------