TSTP Solution File: SEU358+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU358+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:15:51 EDT 2022
% Result : Unknown 2.58s 2.78s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU358+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 06:59:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.97/2.20 ----- Otter 3.3f, August 2004 -----
% 1.97/2.20 The process was started by sandbox2 on n017.cluster.edu,
% 1.97/2.20 Wed Jul 27 06:59:03 2022
% 1.97/2.20 The command was "./otter". The process ID is 26568.
% 1.97/2.20
% 1.97/2.20 set(prolog_style_variables).
% 1.97/2.20 set(auto).
% 1.97/2.20 dependent: set(auto1).
% 1.97/2.20 dependent: set(process_input).
% 1.97/2.20 dependent: clear(print_kept).
% 1.97/2.20 dependent: clear(print_new_demod).
% 1.97/2.20 dependent: clear(print_back_demod).
% 1.97/2.20 dependent: clear(print_back_sub).
% 1.97/2.20 dependent: set(control_memory).
% 1.97/2.20 dependent: assign(max_mem, 12000).
% 1.97/2.20 dependent: assign(pick_given_ratio, 4).
% 1.97/2.20 dependent: assign(stats_level, 1).
% 1.97/2.20 dependent: assign(max_seconds, 10800).
% 1.97/2.20 clear(print_given).
% 1.97/2.20
% 1.97/2.20 formula_list(usable).
% 1.97/2.20 all A (A=A).
% 1.97/2.20 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))).
% 1.97/2.20 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 1.97/2.20 all A B (in(A,B)-> -in(B,A)).
% 1.97/2.20 all A (empty(A)->finite(A)).
% 1.97/2.20 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 1.97/2.20 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 1.97/2.20 all A (rel_str(A)-> (all B C (element(C,the_carrier(A))-> (ex_inf_of_relstr_set(A,B)-> (C=meet_on_relstr(A,B)<->relstr_element_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (relstr_element_smaller(A,B,D)->related(A,D,C))))))))).
% 1.97/2.20 all A (-empty_carrier(A)&latt_str(A)-> (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> (all B C (element(C,the_carrier(A))-> (C=join_of_latt_set(A,B)<->latt_element_smaller(A,C,B)& (all D (element(D,the_carrier(A))-> (latt_element_smaller(A,D,B)->below(A,C,D))))))))).
% 1.97/2.20 all A (-empty_carrier(A)&latt_str(A)-> (all B (meet_of_latt_set(A,B)=join_of_latt_set(A,a_2_2_lattice3(A,B))))).
% 1.97/2.20 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A))).
% 1.97/2.20 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))).
% 1.97/2.20 all A (-empty_carrier(A)&lattice(A)&latt_str(A)-> (all B (element(B,the_carrier(poset_of_lattice(A)))->cast_to_el_of_lattice(A,B)=B))).
% 1.97/2.20 all A (rel_str(A)-> (all B C (element(C,the_carrier(A))-> (ex_sup_of_relstr_set(A,B)-> (C=join_on_relstr(A,B)<->relstr_set_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (relstr_set_smaller(A,B,D)->related(A,C,D))))))))).
% 1.97/2.20 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 1.97/2.20 all A B (-empty_carrier(A)&latt_str(A)->element(join_of_latt_set(A,B),the_carrier(A))).
% 1.97/2.20 all A B (-empty_carrier(A)&latt_str(A)->element(meet_of_latt_set(A,B),the_carrier(A))).
% 1.97/2.20 $T.
% 1.97/2.20 all A B (rel_str(A)->element(join_on_relstr(A,B),the_carrier(A))).
% 1.97/2.20 $T.
% 1.97/2.20 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))).
% 1.97/2.20 all A B (rel_str(A)->element(meet_on_relstr(A,B),the_carrier(A))).
% 1.97/2.20 $T.
% 1.97/2.20 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))).
% 1.97/2.20 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)))).
% 1.97/2.20 all A B (-empty_carrier(A)&lattice(A)&latt_str(A)&element(B,the_carrier(poset_of_lattice(A)))->element(cast_to_el_of_lattice(A,B),the_carrier(A))).
% 1.97/2.20 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->relation(relation_of_lattice(A))).
% 1.97/2.20 all A (meet_semilatt_str(A)->one_sorted_str(A)).
% 1.97/2.20 all A (rel_str(A)->one_sorted_str(A)).
% 1.97/2.20 $T.
% 1.97/2.20 all A (join_semilatt_str(A)->one_sorted_str(A)).
% 1.97/2.20 all A (latt_str(A)->meet_semilatt_str(A)&join_semilatt_str(A)).
% 1.97/2.20 $T.
% 1.97/2.20 $T.
% 1.97/2.20 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 1.97/2.20 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 1.97/2.20 $T.
% 1.97/2.20 exists A meet_semilatt_str(A).
% 1.97/2.20 exists A rel_str(A).
% 1.97/2.20 exists A one_sorted_str(A).
% 1.97/2.20 exists A join_semilatt_str(A).
% 1.97/2.20 exists A latt_str(A).
% 1.97/2.20 all A B exists C relation_of2(C,A,B).
% 1.97/2.20 all A exists B element(B,A).
% 1.97/2.20 all A B exists C relation_of2_as_subset(C,A,B).
% 1.97/2.20 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 1.97/2.20 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))).
% 1.97/2.20 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 1.97/2.20 empty(empty_set).
% 1.97/2.20 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))).
% 1.97/2.20 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))).
% 1.97/2.20 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))).
% 1.97/2.20 all A B C (-empty_carrier(B)&latt_str(B)-> (in(A,a_2_2_lattice3(B,C))<-> (exists D (element(D,the_carrier(B))&A=D&latt_set_smaller(B,D,C))))).
% 1.97/2.20 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))).
% 1.97/2.20 exists A (-empty(A)&finite(A)).
% 1.97/2.20 exists A (rel_str(A)&strict_rel_str(A)).
% 1.97/2.20 exists A empty(A).
% 1.97/2.20 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)).
% 1.97/2.20 exists A (-empty(A)).
% 1.97/2.20 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 1.97/2.20 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 1.97/2.20 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 1.97/2.20 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 1.97/2.20 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->k2_lattice3(A)=relation_of_lattice(A)).
% 1.97/2.20 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 1.97/2.20 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))).
% 1.97/2.20 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))).
% 1.97/2.20 all A B subset(A,A).
% 1.97/2.20 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)).
% 1.97/2.20 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)).
% 1.97/2.20 all A (antisymmetric_relstr(A)&rel_str(A)-> (all B (ex_sup_of_relstr_set(A,B)<-> (exists C (element(C,the_carrier(A))&relstr_set_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (relstr_set_smaller(A,B,D)->related(A,C,D))))))))).
% 1.97/2.20 all A (antisymmetric_relstr(A)&rel_str(A)-> (all B (ex_inf_of_relstr_set(A,B)<-> (exists C (element(C,the_carrier(A))&relstr_element_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (relstr_element_smaller(A,B,D)->related(A,D,C))))))))).
% 1.97/2.20 all A B (in(A,B)->element(A,B)).
% 1.97/2.20 all A B (-empty_carrier(B)&lattice(B)&latt_str(B)-> (all C (element(C,the_carrier(B))-> (latt_set_smaller(B,C,A)<->relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))))).
% 1.97/2.20 all A B (-empty_carrier(B)&lattice(B)&latt_str(B)-> (all C (element(C,the_carrier(poset_of_lattice(B)))-> (relstr_element_smaller(poset_of_lattice(B),A,C)<->latt_set_smaller(B,cast_to_el_of_lattice(B,C),A))))).
% 1.97/2.20 -(all A (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> (all B (join_of_latt_set(A,B)=join_on_relstr(poset_of_lattice(A),B)&meet_of_latt_set(A,B)=meet_on_relstr(poset_of_lattice(A),B))))).
% 1.97/2.20 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.97/2.20 all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 1.97/2.20 all A B (-empty_carrier(B)&lattice(B)&latt_str(B)-> (all C (element(C,the_carrier(B))-> (latt_element_smaller(B,C,A)<->relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)))))).
% 1.97/2.20 all A B (-empty_carrier(B)&lattice(B)&latt_str(B)-> (all C (element(C,the_carrier(poset_of_lattice(B)))-> (relstr_set_smaller(poset_of_lattice(B),A,C)<->latt_element_smaller(B,cast_to_el_of_lattice(B,C),A))))).
% 1.97/2.20 all A (-empty_carrier(A)&lattice(A)&complete_latt_str(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (B=meet_of_latt_set(A,C)<->latt_set_smaller(A,B,C)& (all D (element(D,the_carrier(A))-> (latt_set_smaller(A,D,C)->below_refl(A,D,B))))))))).
% 1.97/2.20 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.97/2.20 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.97/2.20 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.97/2.20 all A (empty(A)->A=empty_set).
% 1.97/2.20 all A B (-(in(A,B)&empty(B))).
% 1.97/2.20 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)))))))).
% 1.97/2.20 all A B (-(empty(A)&A!=B&empty(B))).
% 1.97/2.20 end_of_list.
% 1.97/2.20
% 1.97/2.20 -------> usable clausifies to:
% 1.97/2.20
% 1.97/2.20 list(usable).
% 1.97/2.20 0 [] A=A.
% 1.97/2.20 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 1.97/2.20 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 1.97/2.20 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 1.97/2.20 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 1.97/2.20 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 1.97/2.20 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 1.97/2.20 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 1.97/2.20 0 [] -in(A,B)| -in(B,A).
% 1.97/2.20 0 [] -empty(A)|finite(A).
% 1.97/2.20 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 1.97/2.20 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_inf_of_relstr_set(A,B)|C!=meet_on_relstr(A,B)|relstr_element_smaller(A,B,C).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_inf_of_relstr_set(A,B)|C!=meet_on_relstr(A,B)| -element(D,the_carrier(A))| -relstr_element_smaller(A,B,D)|related(A,D,C).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_inf_of_relstr_set(A,B)|C=meet_on_relstr(A,B)| -relstr_element_smaller(A,B,C)|element($f1(A,B,C),the_carrier(A)).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_inf_of_relstr_set(A,B)|C=meet_on_relstr(A,B)| -relstr_element_smaller(A,B,C)|relstr_element_smaller(A,B,$f1(A,B,C)).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_inf_of_relstr_set(A,B)|C=meet_on_relstr(A,B)| -relstr_element_smaller(A,B,C)| -related(A,$f1(A,B,C),C).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C!=join_of_latt_set(A,B)|latt_element_smaller(A,C,B).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C!=join_of_latt_set(A,B)| -element(D,the_carrier(A))| -latt_element_smaller(A,D,B)|below(A,C,D).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)|element($f2(A,B,C),the_carrier(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)|latt_element_smaller(A,$f2(A,B,C),B).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(C,the_carrier(A))|C=join_of_latt_set(A,B)| -latt_element_smaller(A,C,B)| -below(A,C,$f2(A,B,C)).
% 1.97/2.20 0 [] empty_carrier(A)| -latt_str(A)|meet_of_latt_set(A,B)=join_of_latt_set(A,a_2_2_lattice3(A,B)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B.
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_sup_of_relstr_set(A,B)|C!=join_on_relstr(A,B)|relstr_set_smaller(A,B,C).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_sup_of_relstr_set(A,B)|C!=join_on_relstr(A,B)| -element(D,the_carrier(A))| -relstr_set_smaller(A,B,D)|related(A,C,D).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_sup_of_relstr_set(A,B)|C=join_on_relstr(A,B)| -relstr_set_smaller(A,B,C)|element($f3(A,B,C),the_carrier(A)).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_sup_of_relstr_set(A,B)|C=join_on_relstr(A,B)| -relstr_set_smaller(A,B,C)|relstr_set_smaller(A,B,$f3(A,B,C)).
% 1.97/2.20 0 [] -rel_str(A)| -element(C,the_carrier(A))| -ex_sup_of_relstr_set(A,B)|C=join_on_relstr(A,B)| -relstr_set_smaller(A,B,C)| -related(A,C,$f3(A,B,C)).
% 1.97/2.20 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 1.97/2.20 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 1.97/2.20 0 [] empty_carrier(A)| -latt_str(A)|element(join_of_latt_set(A,B),the_carrier(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -latt_str(A)|element(meet_of_latt_set(A,B),the_carrier(A)).
% 1.97/2.20 0 [] $T.
% 1.97/2.20 0 [] -rel_str(A)|element(join_on_relstr(A,B),the_carrier(A)).
% 1.97/2.20 0 [] $T.
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.97/2.20 0 [] -rel_str(A)|element(meet_on_relstr(A,B),the_carrier(A)).
% 1.97/2.20 0 [] $T.
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 1.97/2.20 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))).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|element(cast_to_el_of_lattice(A,B),the_carrier(A)).
% 1.97/2.20 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 1.97/2.20 0 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 1.97/2.20 0 [] -rel_str(A)|one_sorted_str(A).
% 1.97/2.20 0 [] $T.
% 1.97/2.20 0 [] -join_semilatt_str(A)|one_sorted_str(A).
% 1.97/2.20 0 [] -latt_str(A)|meet_semilatt_str(A).
% 1.97/2.20 0 [] -latt_str(A)|join_semilatt_str(A).
% 1.97/2.20 0 [] $T.
% 1.97/2.20 0 [] $T.
% 1.97/2.20 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 1.97/2.20 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.97/2.20 0 [] $T.
% 1.97/2.20 0 [] meet_semilatt_str($c1).
% 1.97/2.20 0 [] rel_str($c2).
% 1.97/2.20 0 [] one_sorted_str($c3).
% 1.97/2.20 0 [] join_semilatt_str($c4).
% 1.97/2.20 0 [] latt_str($c5).
% 1.97/2.20 0 [] relation_of2($f4(A,B),A,B).
% 1.97/2.20 0 [] element($f5(A),A).
% 1.97/2.20 0 [] relation_of2_as_subset($f6(A,B),A,B).
% 1.97/2.20 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 1.97/2.20 0 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 1.97/2.21 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 1.97/2.21 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.97/2.21 0 [] empty(empty_set).
% 1.97/2.21 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 1.97/2.21 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 1.97/2.21 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 1.97/2.21 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 1.97/2.21 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.97/2.21 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)).
% 1.97/2.21 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|reflexive_relstr(rel_str_of(A,B)).
% 1.97/2.21 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|transitive_relstr(rel_str_of(A,B)).
% 1.97/2.21 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|antisymmetric_relstr(rel_str_of(A,B)).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.97/2.21 0 [] empty_carrier(B)| -latt_str(B)| -in(A,a_2_2_lattice3(B,C))|element($f7(A,B,C),the_carrier(B)).
% 1.97/2.21 0 [] empty_carrier(B)| -latt_str(B)| -in(A,a_2_2_lattice3(B,C))|A=$f7(A,B,C).
% 1.97/2.21 0 [] empty_carrier(B)| -latt_str(B)| -in(A,a_2_2_lattice3(B,C))|latt_set_smaller(B,$f7(A,B,C),C).
% 1.97/2.21 0 [] empty_carrier(B)| -latt_str(B)|in(A,a_2_2_lattice3(B,C))| -element(D,the_carrier(B))|A!=D| -latt_set_smaller(B,D,C).
% 1.97/2.21 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 1.97/2.21 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 1.97/2.21 0 [] -empty($c6).
% 1.97/2.21 0 [] finite($c6).
% 1.97/2.21 0 [] rel_str($c7).
% 1.97/2.21 0 [] strict_rel_str($c7).
% 1.97/2.21 0 [] empty($c8).
% 1.97/2.21 0 [] rel_str($c9).
% 1.97/2.21 0 [] -empty_carrier($c9).
% 1.97/2.21 0 [] strict_rel_str($c9).
% 1.97/2.21 0 [] reflexive_relstr($c9).
% 1.97/2.21 0 [] transitive_relstr($c9).
% 1.97/2.21 0 [] antisymmetric_relstr($c9).
% 1.97/2.21 0 [] -empty($c10).
% 1.97/2.21 0 [] empty(A)|element($f8(A),powerset(A)).
% 1.97/2.21 0 [] empty(A)| -empty($f8(A)).
% 1.97/2.21 0 [] empty(A)|finite($f8(A)).
% 1.97/2.21 0 [] one_sorted_str($c11).
% 1.97/2.21 0 [] -empty_carrier($c11).
% 1.97/2.21 0 [] empty(A)|element($f9(A),powerset(A)).
% 1.97/2.21 0 [] empty(A)| -empty($f9(A)).
% 1.97/2.21 0 [] empty(A)|finite($f9(A)).
% 1.97/2.21 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f10(A),powerset(the_carrier(A))).
% 1.97/2.21 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f10(A)).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|k2_lattice3(A)=relation_of_lattice(A).
% 1.97/2.21 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 1.97/2.21 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 1.97/2.21 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).
% 1.97/2.21 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).
% 1.97/2.21 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).
% 1.97/2.21 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).
% 1.97/2.21 0 [] subset(A,A).
% 1.97/2.21 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).
% 1.97/2.21 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).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|element($f11(A,B),the_carrier(A)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|relstr_set_smaller(A,B,$f11(A,B)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)| -element(D,the_carrier(A))| -relstr_set_smaller(A,B,D)|related(A,$f11(A,B),D).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|element($f12(A,B,C),the_carrier(A)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|relstr_set_smaller(A,B,$f12(A,B,C)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)| -related(A,C,$f12(A,B,C)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|element($f13(A,B),the_carrier(A)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|relstr_element_smaller(A,B,$f13(A,B)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)| -element(D,the_carrier(A))| -relstr_element_smaller(A,B,D)|related(A,D,$f13(A,B)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|element($f14(A,B,C),the_carrier(A)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|relstr_element_smaller(A,B,$f14(A,B,C)).
% 1.97/2.21 0 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)| -related(A,$f14(A,B,C),C).
% 1.97/2.21 0 [] -in(A,B)|element(A,B).
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(B))| -latt_set_smaller(B,C,A)|relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)).
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(B))|latt_set_smaller(B,C,A)| -relstr_element_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)).
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(poset_of_lattice(B)))| -relstr_element_smaller(poset_of_lattice(B),A,C)|latt_set_smaller(B,cast_to_el_of_lattice(B,C),A).
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(poset_of_lattice(B)))|relstr_element_smaller(poset_of_lattice(B),A,C)| -latt_set_smaller(B,cast_to_el_of_lattice(B,C),A).
% 1.97/2.21 0 [] -empty_carrier($c13).
% 1.97/2.21 0 [] lattice($c13).
% 1.97/2.21 0 [] complete_latt_str($c13).
% 1.97/2.21 0 [] latt_str($c13).
% 1.97/2.21 0 [] join_of_latt_set($c13,$c12)!=join_on_relstr(poset_of_lattice($c13),$c12)|meet_of_latt_set($c13,$c12)!=meet_on_relstr(poset_of_lattice($c13),$c12).
% 1.97/2.21 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.97/2.21 0 [] in($f15(A,B),A)|in($f15(A,B),B)|A=B.
% 1.97/2.21 0 [] -in($f15(A,B),A)| -in($f15(A,B),B)|A=B.
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(B))| -latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)).
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(B))|latt_element_smaller(B,C,A)| -relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)).
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(poset_of_lattice(B)))| -relstr_set_smaller(poset_of_lattice(B),A,C)|latt_element_smaller(B,cast_to_el_of_lattice(B,C),A).
% 1.97/2.21 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(poset_of_lattice(B)))|relstr_set_smaller(poset_of_lattice(B),A,C)| -latt_element_smaller(B,cast_to_el_of_lattice(B,C),A).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=meet_of_latt_set(A,C)|latt_set_smaller(A,B,C).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=meet_of_latt_set(A,C)| -element(D,the_carrier(A))| -latt_set_smaller(A,D,C)|below_refl(A,D,B).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=meet_of_latt_set(A,C)| -latt_set_smaller(A,B,C)|element($f16(A,B,C),the_carrier(A)).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=meet_of_latt_set(A,C)| -latt_set_smaller(A,B,C)|latt_set_smaller(A,$f16(A,B,C),C).
% 1.97/2.21 0 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=meet_of_latt_set(A,C)| -latt_set_smaller(A,B,C)| -below_refl(A,$f16(A,B,C),B).
% 1.97/2.21 0 [] -element(A,powerset(B))|subset(A,B).
% 1.97/2.21 0 [] element(A,powerset(B))| -subset(A,B).
% 1.97/2.21 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.97/2.21 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.97/2.21 0 [] -empty(A)|A=empty_set.
% 1.97/2.21 0 [] -in(A,B)| -empty(B).
% 1.97/2.21 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)).
% 1.97/2.21 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)).
% 1.97/2.21 0 [] -empty(A)|A=B| -empty(B).
% 1.97/2.21 end_of_list.
% 1.97/2.21
% 1.97/2.21 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 1.97/2.21
% 1.97/2.21 This ia a non-Horn set with equality. The strategy will be
% 1.97/2.21 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.97/2.21 deletion, with positive clauses in sos and nonpositive
% 1.97/2.21 clauses in usable.
% 1.97/2.21
% 1.97/2.21 dependent: set(knuth_bendix).
% 1.97/2.21 dependent: set(anl_eq).
% 1.97/2.21 dependent: set(para_from).
% 1.97/2.21 dependent: set(para_into).
% 1.97/2.21 dependent: clear(para_from_right).
% 1.97/2.21 dependent: clear(para_into_right).
% 1.97/2.21 dependent: set(para_from_vars).
% 1.97/2.21 dependent: set(eq_units_both_ways).
% 1.97/2.21 dependent: set(dynamic_demod_all).
% 1.97/2.21 dependent: set(dynamic_demod).
% 1.97/2.21 dependent: set(order_eq).
% 1.97/2.21 dependent: set(back_demod).
% 1.97/2.21 dependent: set(lrpo).
% 1.97/2.21 dependent: set(hyper_res).
% 1.97/2.21 dependent: set(unit_deletion).
% 1.97/2.21 dependent: set(factor).
% 1.97/2.21
% 1.97/2.21 ------------> process usable:
% 1.97/2.21 ** KEPT (pick-wt=8): 1 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 2 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 3 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 4 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 5 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 6 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 1.97/2.21 ** KEPT (pick-wt=11): 8 [copy,7,flip.3] -rel_str(A)| -strict_rel_str(A)|rel_str_of(the_carrier(A),the_InternalRel(A))=A.
% 1.97/2.21 ** KEPT (pick-wt=6): 9 [] -in(A,B)| -in(B,A).
% 1.97/2.21 ** KEPT (pick-wt=4): 10 [] -empty(A)|finite(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 11 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 12 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 1.97/2.21 ** KEPT (pick-wt=18): 13 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_inf_of_relstr_set(A,C)|B!=meet_on_relstr(A,C)|relstr_element_smaller(A,C,B).
% 1.97/2.21 ** KEPT (pick-wt=26): 14 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_inf_of_relstr_set(A,C)|B!=meet_on_relstr(A,C)| -element(D,the_carrier(A))| -relstr_element_smaller(A,C,D)|related(A,D,B).
% 1.97/2.21 ** KEPT (pick-wt=25): 15 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_inf_of_relstr_set(A,C)|B=meet_on_relstr(A,C)| -relstr_element_smaller(A,C,B)|element($f1(A,C,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=25): 16 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_inf_of_relstr_set(A,C)|B=meet_on_relstr(A,C)| -relstr_element_smaller(A,C,B)|relstr_element_smaller(A,C,$f1(A,C,B)).
% 1.97/2.21 ** KEPT (pick-wt=25): 17 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_inf_of_relstr_set(A,C)|B=meet_on_relstr(A,C)| -relstr_element_smaller(A,C,B)| -related(A,$f1(A,C,B),B).
% 1.97/2.21 ** KEPT (pick-wt=21): 18 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=join_of_latt_set(A,C)|latt_element_smaller(A,B,C).
% 1.97/2.21 ** KEPT (pick-wt=29): 19 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=join_of_latt_set(A,C)| -element(D,the_carrier(A))| -latt_element_smaller(A,D,C)|below(A,B,D).
% 1.97/2.21 ** KEPT (pick-wt=28): 20 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)|element($f2(A,C,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=28): 21 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)|latt_element_smaller(A,$f2(A,C,B),C).
% 1.97/2.21 ** KEPT (pick-wt=28): 22 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=join_of_latt_set(A,C)| -latt_element_smaller(A,B,C)| -below(A,B,$f2(A,C,B)).
% 1.97/2.21 ** KEPT (pick-wt=13): 23 [] empty_carrier(A)| -latt_str(A)|meet_of_latt_set(A,B)=join_of_latt_set(A,a_2_2_lattice3(A,B)).
% 1.97/2.21 ** KEPT (pick-wt=14): 25 [copy,24,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str_of(the_carrier(A),k2_lattice3(A))=poset_of_lattice(A).
% 1.97/2.21 ** KEPT (pick-wt=15): 26 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 1.97/2.21 ** KEPT (pick-wt=16): 27 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B.
% 1.97/2.21 ** KEPT (pick-wt=18): 28 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_sup_of_relstr_set(A,C)|B!=join_on_relstr(A,C)|relstr_set_smaller(A,C,B).
% 1.97/2.21 ** KEPT (pick-wt=26): 29 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_sup_of_relstr_set(A,C)|B!=join_on_relstr(A,C)| -element(D,the_carrier(A))| -relstr_set_smaller(A,C,D)|related(A,B,D).
% 1.97/2.21 ** KEPT (pick-wt=25): 30 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_sup_of_relstr_set(A,C)|B=join_on_relstr(A,C)| -relstr_set_smaller(A,C,B)|element($f3(A,C,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=25): 31 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_sup_of_relstr_set(A,C)|B=join_on_relstr(A,C)| -relstr_set_smaller(A,C,B)|relstr_set_smaller(A,C,$f3(A,C,B)).
% 1.97/2.21 ** KEPT (pick-wt=25): 32 [] -rel_str(A)| -element(B,the_carrier(A))| -ex_sup_of_relstr_set(A,C)|B=join_on_relstr(A,C)| -relstr_set_smaller(A,C,B)| -related(A,B,$f3(A,C,B)).
% 1.97/2.21 ** KEPT (pick-wt=8): 33 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 1.97/2.21 ** KEPT (pick-wt=8): 34 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 1.97/2.21 ** KEPT (pick-wt=10): 35 [] empty_carrier(A)| -latt_str(A)|element(join_of_latt_set(A,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=10): 36 [] empty_carrier(A)| -latt_str(A)|element(meet_of_latt_set(A,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=8): 37 [] -rel_str(A)|element(join_on_relstr(A,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 38 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 39 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 40 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 1.97/2.21 ** KEPT (pick-wt=13): 41 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=13): 42 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=8): 43 [] -rel_str(A)|element(meet_on_relstr(A,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 44 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 45 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 46 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 47 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 48 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 1.97/2.21 ** KEPT (pick-wt=17): 49 [] 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))).
% 1.97/2.21 ** KEPT (pick-wt=17): 50 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|element(cast_to_el_of_lattice(A,B),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 51 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 1.97/2.21 ** KEPT (pick-wt=4): 52 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 1.97/2.21 ** KEPT (pick-wt=4): 53 [] -rel_str(A)|one_sorted_str(A).
% 1.97/2.21 ** KEPT (pick-wt=4): 54 [] -join_semilatt_str(A)|one_sorted_str(A).
% 1.97/2.21 ** KEPT (pick-wt=4): 55 [] -latt_str(A)|meet_semilatt_str(A).
% 1.97/2.21 ** KEPT (pick-wt=4): 56 [] -latt_str(A)|join_semilatt_str(A).
% 1.97/2.21 ** KEPT (pick-wt=10): 57 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 1.97/2.21 ** KEPT (pick-wt=9): 58 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=8): 59 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 1.97/2.21 ** KEPT (pick-wt=10): 60 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 1.97/2.21 Following clause subsumed by 33 during input processing: 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 1.97/2.21 ** KEPT (pick-wt=7): 61 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=11): 62 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 1.97/2.21 ** KEPT (pick-wt=11): 63 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 1.97/2.21 ** KEPT (pick-wt=11): 64 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 1.97/2.21 ** KEPT (pick-wt=11): 65 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 1.97/2.21 ** KEPT (pick-wt=15): 66 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.97/2.21 Following clause subsumed by 33 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)).
% 1.97/2.21 ** KEPT (pick-wt=18): 67 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|reflexive_relstr(rel_str_of(B,A)).
% 1.97/2.21 ** KEPT (pick-wt=18): 68 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|transitive_relstr(rel_str_of(B,A)).
% 1.97/2.21 ** KEPT (pick-wt=18): 69 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|antisymmetric_relstr(rel_str_of(B,A)).
% 1.97/2.21 ** KEPT (pick-wt=9): 70 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 1.97/2.21 Following clause subsumed by 44 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.97/2.21 Following clause subsumed by 45 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.97/2.21 Following clause subsumed by 46 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.97/2.21 Following clause subsumed by 47 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.97/2.21 ** KEPT (pick-wt=16): 71 [] empty_carrier(A)| -latt_str(A)| -in(B,a_2_2_lattice3(A,C))|element($f7(B,A,C),the_carrier(A)).
% 1.97/2.21 ** KEPT (pick-wt=15): 73 [copy,72,flip.4] empty_carrier(A)| -latt_str(A)| -in(B,a_2_2_lattice3(A,C))|$f7(B,A,C)=B.
% 1.97/2.21 ** KEPT (pick-wt=16): 74 [] empty_carrier(A)| -latt_str(A)| -in(B,a_2_2_lattice3(A,C))|latt_set_smaller(A,$f7(B,A,C),C).
% 1.97/2.21 ** KEPT (pick-wt=20): 75 [] empty_carrier(A)| -latt_str(A)|in(B,a_2_2_lattice3(A,C))| -element(D,the_carrier(A))|B!=D| -latt_set_smaller(A,D,C).
% 1.97/2.21 ** KEPT (pick-wt=14): 76 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 1.97/2.21 ** KEPT (pick-wt=14): 77 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 1.97/2.21 ** KEPT (pick-wt=2): 78 [] -empty($c6).
% 1.97/2.21 ** KEPT (pick-wt=2): 79 [] -empty_carrier($c9).
% 1.97/2.21 ** KEPT (pick-wt=2): 80 [] -empty($c10).
% 1.97/2.21 ** KEPT (pick-wt=5): 81 [] empty(A)| -empty($f8(A)).
% 1.97/2.21 ** KEPT (pick-wt=2): 82 [] -empty_carrier($c11).
% 1.97/2.21 ** KEPT (pick-wt=5): 83 [] empty(A)| -empty($f9(A)).
% 1.97/2.21 ** KEPT (pick-wt=10): 84 [] empty_carrier(A)| -one_sorted_str(A)|element($f10(A),powerset(the_carrier(A))).
% 1.97/2.21 ** KEPT (pick-wt=7): 85 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f10(A)).
% 1.97/2.21 ** KEPT (pick-wt=11): 87 [copy,86,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of_lattice(A)=k2_lattice3(A).
% 1.97/2.21 ** KEPT (pick-wt=8): 88 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 1.97/2.21 ** KEPT (pick-wt=8): 89 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 1.97/2.21 ** KEPT (pick-wt=26): 90 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 1.97/2.21 ** KEPT (pick-wt=26): 91 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 1.97/2.22 ** KEPT (pick-wt=22): 92 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -related_reflexive(A,B,C)|related(A,B,C).
% 1.97/2.22 ** KEPT (pick-wt=22): 93 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related_reflexive(A,B,C)| -related(A,B,C).
% 1.97/2.22 ** KEPT (pick-wt=18): 95 [copy,94,factor_simp] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))|below_refl(A,B,B).
% 1.97/2.22 ** KEPT (pick-wt=14): 97 [copy,96,factor_simp] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))|related_reflexive(A,B,B).
% 1.97/2.22 ** KEPT (pick-wt=13): 98 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|element($f11(A,B),the_carrier(A)).
% 1.97/2.22 ** KEPT (pick-wt=13): 99 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)|relstr_set_smaller(A,B,$f11(A,B)).
% 1.97/2.22 ** KEPT (pick-wt=21): 100 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|related(A,$f11(A,B),C).
% 1.97/2.22 ** KEPT (pick-wt=22): 101 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|element($f12(A,B,C),the_carrier(A)).
% 1.97/2.22 ** KEPT (pick-wt=22): 102 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)|relstr_set_smaller(A,B,$f12(A,B,C)).
% 1.97/2.22 ** KEPT (pick-wt=22): 103 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_sup_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)| -related(A,C,$f12(A,B,C)).
% 1.97/2.22 ** KEPT (pick-wt=13): 104 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|element($f13(A,B),the_carrier(A)).
% 1.97/2.22 ** KEPT (pick-wt=13): 105 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)|relstr_element_smaller(A,B,$f13(A,B)).
% 1.97/2.22 ** KEPT (pick-wt=21): 106 [] -antisymmetric_relstr(A)| -rel_str(A)| -ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|related(A,C,$f13(A,B)).
% 1.97/2.22 ** KEPT (pick-wt=22): 107 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|element($f14(A,B,C),the_carrier(A)).
% 1.97/2.22 ** KEPT (pick-wt=22): 108 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)|relstr_element_smaller(A,B,$f14(A,B,C)).
% 1.97/2.22 ** KEPT (pick-wt=22): 109 [] -antisymmetric_relstr(A)| -rel_str(A)|ex_inf_of_relstr_set(A,B)| -element(C,the_carrier(A))| -relstr_element_smaller(A,B,C)| -related(A,$f14(A,B,C),C).
% 1.97/2.22 ** KEPT (pick-wt=6): 110 [] -in(A,B)|element(A,B).
% 1.97/2.22 ** KEPT (pick-wt=21): 111 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_set_smaller(A,B,C)|relstr_element_smaller(poset_of_lattice(A),C,cast_to_el_of_LattPOSet(A,B)).
% 1.97/2.22 ** KEPT (pick-wt=21): 112 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_set_smaller(A,B,C)| -relstr_element_smaller(poset_of_lattice(A),C,cast_to_el_of_LattPOSet(A,B)).
% 1.97/2.22 ** KEPT (pick-wt=22): 113 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))| -relstr_element_smaller(poset_of_lattice(A),C,B)|latt_set_smaller(A,cast_to_el_of_lattice(A,B),C).
% 1.97/2.22 ** KEPT (pick-wt=22): 114 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|relstr_element_smaller(poset_of_lattice(A),C,B)| -latt_set_smaller(A,cast_to_el_of_lattice(A,B),C).
% 1.97/2.22 ** KEPT (pick-wt=2): 115 [] -empty_carrier($c13).
% 1.97/2.22 ** KEPT (pick-wt=16): 117 [copy,116,flip.1,flip.2] join_on_relstr(poset_of_lattice($c13),$c12)!=join_of_latt_set($c13,$c12)|meet_on_relstr(poset_of_lattice($c13),$c12)!=meet_of_latt_set($c13,$c12).
% 1.97/2.22 ** KEPT (pick-wt=8): 118 [] -element(A,B)|empty(B)|in(A,B).
% 1.97/2.22 ** KEPT (pick-wt=13): 119 [] -in($f15(A,B),A)| -in($f15(A,B),B)|A=B.
% 1.97/2.22 ** KEPT (pick-wt=21): 120 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_element_smaller(A,B,C)|relstr_set_smaller(poset_of_lattice(A),C,cast_to_el_of_LattPOSet(A,B)).
% 1.97/2.22 ** KEPT (pick-wt=21): 121 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)| -relstr_set_smaller(poset_of_lattice(A),C,cast_to_el_of_LattPOSet(A,B)).
% 1.97/2.22 ** KEPT (pick-wt=22): 122 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))| -relstr_set_smaller(poset_of_lattice(A),C,B)|latt_element_smaller(A,cast_to_el_of_lattice(A,B),C).
% 1.97/2.22 ** KEPT (pick-wt=22): 123 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|relstr_set_smaller(poset_of_lattice(A),C,B)| -latt_element_smaller(A,cast_to_el_of_lattice(A,B),C).
% 1.97/2.22 ** KEPT (pick-wt=21): 124 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=meet_of_latt_set(A,C)|latt_set_smaller(A,B,C).
% 1.97/2.22 ** KEPT (pick-wt=29): 125 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B!=meet_of_latt_set(A,C)| -element(D,the_carrier(A))| -latt_set_smaller(A,D,C)|below_refl(A,D,B).
% 1.97/2.22 ** KEPT (pick-wt=28): 126 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=meet_of_latt_set(A,C)| -latt_set_smaller(A,B,C)|element($f16(A,B,C),the_carrier(A)).
% 1.97/2.22 ** KEPT (pick-wt=28): 127 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=meet_of_latt_set(A,C)| -latt_set_smaller(A,B,C)|latt_set_smaller(A,$f16(A,B,C),C).
% 1.97/2.22 ** KEPT (pick-wt=28): 128 [] empty_carrier(A)| -lattice(A)| -complete_latt_str(A)| -latt_str(A)| -element(B,the_carrier(A))|B=meet_of_latt_set(A,C)| -latt_set_smaller(A,B,C)| -below_refl(A,$f16(A,B,C),B).
% 1.97/2.22 ** KEPT (pick-wt=7): 129 [] -element(A,powerset(B))|subset(A,B).
% 1.97/2.22 ** KEPT (pick-wt=7): 130 [] element(A,powerset(B))| -subset(A,B).
% 1.97/2.22 ** KEPT (pick-wt=10): 131 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.97/2.22 ** KEPT (pick-wt=9): 132 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.97/2.22 ** KEPT (pick-wt=5): 133 [] -empty(A)|A=empty_set.
% 1.97/2.22 ** KEPT (pick-wt=5): 134 [] -in(A,B)| -empty(B).
% 1.97/2.22 ** KEPT (pick-wt=27): 135 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 1.97/2.22 ** KEPT (pick-wt=27): 136 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 1.97/2.22 ** KEPT (pick-wt=7): 137 [] -empty(A)|A=B| -empty(B).
% 1.97/2.22
% 1.97/2.22 ------------> process sos:
% 1.97/2.22 ** KEPT (pick-wt=3): 150 [] A=A.
% 1.97/2.22 ** KEPT (pick-wt=2): 151 [] meet_semilatt_str($c1).
% 1.97/2.22 ** KEPT (pick-wt=2): 152 [] rel_str($c2).
% 1.97/2.22 ** KEPT (pick-wt=2): 153 [] one_sorted_str($c3).
% 1.97/2.22 ** KEPT (pick-wt=2): 154 [] join_semilatt_str($c4).
% 1.97/2.22 ** KEPT (pick-wt=2): 155 [] latt_str($c5).
% 1.97/2.22 ** KEPT (pick-wt=6): 156 [] relation_of2($f4(A,B),A,B).
% 1.97/2.22 ** KEPT (pick-wt=4): 157 [] element($f5(A),A).
% 1.97/2.22 ** KEPT (pick-wt=6): 158 [] relation_of2_as_subset($f6(A,B),A,B).
% 1.97/2.22 ** KEPT (pick-wt=2): 159 [] empty(empty_set).
% 1.97/2.22 ** KEPT (pick-wt=2): 160 [] finite($c6).
% 1.97/2.22 ** KEPT (pick-wt=2): 161 [] rel_str($c7).
% 1.97/2.22 ** KEPT (pick-wt=2): 162 [] strict_rel_str($c7).
% 1.97/2.22 ** KEPT (pick-wt=2): 163 [] empty($c8).
% 1.97/2.22 ** KEPT (pick-wt=2): 164 [] rel_str($c9).
% 1.97/2.22 ** KEPT (pick-wt=2): 165 [] strict_rel_str($c9).
% 1.97/2.22 ** KEPT (pick-wt=2): 166 [] reflexive_relstr($c9).
% 1.97/2.22 ** KEPT (pick-wt=2): 167 [] transitive_relstr($c9).
% 1.97/2.22 ** KEPT (pick-wt=2): 168 [] antisymmetric_relstr($c9).
% 1.97/2.22 ** KEPT (pick-wt=7): 169 [] empty(A)|element($f8(A),powerset(A)).
% 1.97/2.22 ** KEPT (pick-wt=5): 170 [] empty(A)|finite($f8(A)).
% 1.97/2.22 ** KEPT (pick-wt=2): 171 [] one_sorted_str($c11).
% 1.97/2.22 ** KEPT (pick-wt=7): 172 [] empty(A)|element($f9(A),powerset(A)).
% 1.97/2.22 ** KEPT (pick-wt=5): 173 [] empty(A)|finite($f9(A)).
% 1.97/2.22 ** KEPT (pick-wt=3): 174 [] subset(A,A).
% 1.97/2.22 ** KEPT (pick-wt=2): 175 [] lattice($c13).
% 1.97/2.22 ** KEPT (pick-wt=2): 176 [] complete_latt_str($c13).
% 1.97/2.22 ** KEPT (pick-wt=2): 177 [] latt_str($c13).
% 2.58/2.78 ** KEPT (pick-wt=13): 178 [] in($f15(A,B),A)|in($f15(A,B),B)|A=B.
% 2.58/2.78 Following clause subsumed by 150 during input processing: 0 [copy,150,flip.1] A=A.
% 2.58/2.78 150 back subsumes 149.
% 2.58/2.78 150 back subsumes 145.
% 2.58/2.78
% 2.58/2.78 ======= end of input processing =======
% 2.58/2.78
% 2.58/2.78 =========== start of search ===========
% 2.58/2.78
% 2.58/2.78
% 2.58/2.78 Resetting weight limit to 3.
% 2.58/2.78
% 2.58/2.78
% 2.58/2.78 Resetting weight limit to 3.
% 2.58/2.78
% 2.58/2.78 sos_size=276
% 2.58/2.78
% 2.58/2.78 Search stopped because sos empty.
% 2.58/2.78
% 2.58/2.78
% 2.58/2.78 Search stopped because sos empty.
% 2.58/2.78
% 2.58/2.78 ============ end of search ============
% 2.58/2.78
% 2.58/2.78 -------------- statistics -------------
% 2.58/2.78 clauses given 318
% 2.58/2.78 clauses generated 28018
% 2.58/2.78 clauses kept 484
% 2.58/2.78 clauses forward subsumed 98
% 2.58/2.78 clauses back subsumed 2
% 2.58/2.78 Kbytes malloced 5859
% 2.58/2.78
% 2.58/2.78 ----------- times (seconds) -----------
% 2.58/2.78 user CPU time 0.57 (0 hr, 0 min, 0 sec)
% 2.58/2.78 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.58/2.78 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.58/2.78
% 2.58/2.78 Process 26568 finished Wed Jul 27 06:59:05 2022
% 2.58/2.78 Otter interrupted
% 2.58/2.78 PROOF NOT FOUND
%------------------------------------------------------------------------------