TSTP Solution File: SEU349+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n021.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 2.59s 2.81s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU349+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : otter-tptp-script %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jul 27 07:56:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.06/2.27 ----- Otter 3.3f, August 2004 -----
% 2.06/2.27 The process was started by sandbox on n021.cluster.edu,
% 2.06/2.27 Wed Jul 27 07:56:08 2022
% 2.06/2.27 The command was "./otter". The process ID is 28121.
% 2.06/2.27
% 2.06/2.27 set(prolog_style_variables).
% 2.06/2.27 set(auto).
% 2.06/2.27 dependent: set(auto1).
% 2.06/2.27 dependent: set(process_input).
% 2.06/2.27 dependent: clear(print_kept).
% 2.06/2.27 dependent: clear(print_new_demod).
% 2.06/2.27 dependent: clear(print_back_demod).
% 2.06/2.27 dependent: clear(print_back_sub).
% 2.06/2.27 dependent: set(control_memory).
% 2.06/2.27 dependent: assign(max_mem, 12000).
% 2.06/2.27 dependent: assign(pick_given_ratio, 4).
% 2.06/2.27 dependent: assign(stats_level, 1).
% 2.06/2.27 dependent: assign(max_seconds, 10800).
% 2.06/2.27 clear(print_given).
% 2.06/2.27
% 2.06/2.27 formula_list(usable).
% 2.06/2.27 all A (A=A).
% 2.06/2.27 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 2.06/2.27 all A B (in(A,B)-> -in(B,A)).
% 2.06/2.27 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))).
% 2.06/2.27 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.06/2.27 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))).
% 2.06/2.27 all A (-empty_carrier(A)&latt_str(A)-> (all B (element(B,the_carrier(A))-> (all C (latt_element_smaller(A,B,C)<-> (all D (element(D,the_carrier(A))-> (in(D,C)->below(A,D,B))))))))).
% 2.06/2.27 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A))).
% 2.06/2.27 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))).
% 2.06/2.27 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))).
% 2.06/2.27 all A (rel_str(A)-> (all B C (element(C,the_carrier(A))-> (relstr_set_smaller(A,B,C)<-> (all D (element(D,the_carrier(A))-> (in(D,B)->related(A,D,C)))))))).
% 2.06/2.27 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 2.06/2.27 $T.
% 2.06/2.27 $T.
% 2.06/2.27 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))).
% 2.06/2.27 $T.
% 2.06/2.27 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))).
% 2.06/2.27 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)))).
% 2.06/2.27 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))).
% 2.06/2.27 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->relation(relation_of_lattice(A))).
% 2.06/2.27 all A (meet_semilatt_str(A)->one_sorted_str(A)).
% 2.06/2.27 all A (rel_str(A)->one_sorted_str(A)).
% 2.06/2.27 $T.
% 2.06/2.27 all A (join_semilatt_str(A)->one_sorted_str(A)).
% 2.06/2.27 all A (latt_str(A)->meet_semilatt_str(A)&join_semilatt_str(A)).
% 2.06/2.27 $T.
% 2.06/2.27 $T.
% 2.06/2.27 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.06/2.27 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.06/2.27 $T.
% 2.06/2.27 exists A meet_semilatt_str(A).
% 2.06/2.27 exists A rel_str(A).
% 2.06/2.27 exists A one_sorted_str(A).
% 2.06/2.27 exists A join_semilatt_str(A).
% 2.06/2.27 exists A latt_str(A).
% 2.06/2.27 all A B exists C relation_of2(C,A,B).
% 2.06/2.27 all A exists B element(B,A).
% 2.06/2.27 all A B exists C relation_of2_as_subset(C,A,B).
% 2.06/2.27 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))).
% 2.06/2.27 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.06/2.27 all A (-empty(powerset(A))).
% 2.06/2.27 empty(empty_set).
% 2.06/2.27 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))).
% 2.06/2.27 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))).
% 2.06/2.27 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))).
% 2.06/2.27 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.06/2.27 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))).
% 2.06/2.27 exists A (rel_str(A)&strict_rel_str(A)).
% 2.06/2.27 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.06/2.27 exists A empty(A).
% 2.06/2.27 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)).
% 2.06/2.27 all A exists B (element(B,powerset(A))&empty(B)).
% 2.06/2.27 exists A (-empty(A)).
% 2.06/2.27 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.06/2.27 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.06/2.27 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->k2_lattice3(A)=relation_of_lattice(A)).
% 2.06/2.27 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.06/2.27 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))).
% 2.06/2.27 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))).
% 2.06/2.27 all A B subset(A,A).
% 2.06/2.27 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)).
% 2.06/2.27 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)).
% 2.06/2.27 all A B (in(A,B)->element(A,B)).
% 2.06/2.27 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.06/2.27 -(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))))))).
% 2.06/2.27 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.06/2.27 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.06/2.27 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.06/2.27 all A (empty(A)->A=empty_set).
% 2.06/2.27 all A B (-(in(A,B)&empty(B))).
% 2.06/2.27 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)))))))).
% 2.06/2.27 all A B (-(empty(A)&A!=B&empty(B))).
% 2.06/2.27 end_of_list.
% 2.06/2.27
% 2.06/2.27 -------> usable clausifies to:
% 2.06/2.27
% 2.06/2.27 list(usable).
% 2.06/2.27 0 [] A=A.
% 2.06/2.27 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 2.06/2.27 0 [] -in(A,B)| -in(B,A).
% 2.06/2.27 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.06/2.27 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.06/2.27 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.06/2.27 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.06/2.27 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.06/2.27 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.06/2.27 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.06/2.27 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).
% 2.06/2.27 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_element_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,D,B).
% 2.06/2.27 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|element($f1(A,B,C),the_carrier(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|in($f1(A,B,C),C).
% 2.06/2.27 0 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)| -below(A,$f1(A,B,C),B).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 2.06/2.27 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.
% 2.06/2.27 0 [] -rel_str(A)| -element(C,the_carrier(A))| -relstr_set_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,B)|related(A,D,C).
% 2.06/2.27 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_set_smaller(A,B,C)|element($f2(A,B,C),the_carrier(A)).
% 2.06/2.27 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_set_smaller(A,B,C)|in($f2(A,B,C),B).
% 2.06/2.27 0 [] -rel_str(A)| -element(C,the_carrier(A))|relstr_set_smaller(A,B,C)| -related(A,$f2(A,B,C),C).
% 2.06/2.27 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.06/2.27 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 2.06/2.27 0 [] $T.
% 2.06/2.27 0 [] $T.
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 0 [] $T.
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 2.06/2.27 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))).
% 2.06/2.27 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)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 2.06/2.27 0 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.06/2.27 0 [] -rel_str(A)|one_sorted_str(A).
% 2.06/2.27 0 [] $T.
% 2.06/2.27 0 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.06/2.27 0 [] -latt_str(A)|meet_semilatt_str(A).
% 2.06/2.27 0 [] -latt_str(A)|join_semilatt_str(A).
% 2.06/2.27 0 [] $T.
% 2.06/2.27 0 [] $T.
% 2.06/2.27 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.06/2.27 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 0 [] $T.
% 2.06/2.27 0 [] meet_semilatt_str($c1).
% 2.06/2.27 0 [] rel_str($c2).
% 2.06/2.27 0 [] one_sorted_str($c3).
% 2.06/2.27 0 [] join_semilatt_str($c4).
% 2.06/2.27 0 [] latt_str($c5).
% 2.06/2.27 0 [] relation_of2($f3(A,B),A,B).
% 2.06/2.27 0 [] element($f4(A),A).
% 2.06/2.27 0 [] relation_of2_as_subset($f5(A,B),A,B).
% 2.06/2.27 0 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 2.06/2.27 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.06/2.27 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.06/2.27 0 [] -empty(powerset(A)).
% 2.06/2.27 0 [] empty(empty_set).
% 2.06/2.27 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.06/2.27 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 2.06/2.27 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 2.06/2.27 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 2.06/2.27 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 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)).
% 2.06/2.27 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|reflexive_relstr(rel_str_of(A,B)).
% 2.06/2.27 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|transitive_relstr(rel_str_of(A,B)).
% 2.06/2.27 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|antisymmetric_relstr(rel_str_of(A,B)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.06/2.27 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.06/2.27 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 2.06/2.27 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 2.06/2.27 0 [] rel_str($c6).
% 2.06/2.27 0 [] strict_rel_str($c6).
% 2.06/2.27 0 [] empty(A)|element($f6(A),powerset(A)).
% 2.06/2.27 0 [] empty(A)| -empty($f6(A)).
% 2.06/2.27 0 [] empty($c7).
% 2.06/2.27 0 [] rel_str($c8).
% 2.06/2.27 0 [] -empty_carrier($c8).
% 2.06/2.27 0 [] strict_rel_str($c8).
% 2.06/2.27 0 [] reflexive_relstr($c8).
% 2.06/2.27 0 [] transitive_relstr($c8).
% 2.06/2.27 0 [] antisymmetric_relstr($c8).
% 2.06/2.27 0 [] element($f7(A),powerset(A)).
% 2.06/2.27 0 [] empty($f7(A)).
% 2.06/2.27 0 [] -empty($c9).
% 2.06/2.27 0 [] one_sorted_str($c10).
% 2.06/2.27 0 [] -empty_carrier($c10).
% 2.06/2.27 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f8(A),powerset(the_carrier(A))).
% 2.06/2.27 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f8(A)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|k2_lattice3(A)=relation_of_lattice(A).
% 2.06/2.27 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.06/2.27 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.06/2.27 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|below(A,B,C).
% 2.06/2.27 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -below(A,B,C).
% 2.06/2.27 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -related_reflexive(A,B,C)|related(A,B,C).
% 2.06/2.27 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related_reflexive(A,B,C)| -related(A,B,C).
% 2.06/2.27 0 [] subset(A,A).
% 2.06/2.27 0 [] empty_carrier(A)| -meet_commutative(A)| -meet_absorbing(A)| -join_absorbing(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,B).
% 2.06/2.27 0 [] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|related_reflexive(A,B,B).
% 2.06/2.27 0 [] -in(A,B)|element(A,B).
% 2.06/2.27 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.06/2.27 0 [] -empty_carrier($c12).
% 2.06/2.27 0 [] lattice($c12).
% 2.06/2.27 0 [] latt_str($c12).
% 2.06/2.27 0 [] element($c11,the_carrier($c12)).
% 2.06/2.27 0 [] latt_element_smaller($c12,$c11,$c13)|relstr_set_smaller(poset_of_lattice($c12),$c13,cast_to_el_of_LattPOSet($c12,$c11)).
% 2.06/2.27 0 [] -latt_element_smaller($c12,$c11,$c13)| -relstr_set_smaller(poset_of_lattice($c12),$c13,cast_to_el_of_LattPOSet($c12,$c11)).
% 2.06/2.27 0 [] -element(A,powerset(B))|subset(A,B).
% 2.06/2.27 0 [] element(A,powerset(B))| -subset(A,B).
% 2.06/2.27 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.06/2.27 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.06/2.27 0 [] -empty(A)|A=empty_set.
% 2.06/2.27 0 [] -in(A,B)| -empty(B).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.06/2.27 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.06/2.27 0 [] -empty(A)|A=B| -empty(B).
% 2.06/2.27 end_of_list.
% 2.06/2.27
% 2.06/2.27 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 2.06/2.27
% 2.06/2.27 This ia a non-Horn set with equality. The strategy will be
% 2.06/2.27 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.06/2.27 deletion, with positive clauses in sos and nonpositive
% 2.06/2.27 clauses in usable.
% 2.06/2.27
% 2.06/2.27 dependent: set(knuth_bendix).
% 2.06/2.27 dependent: set(anl_eq).
% 2.06/2.27 dependent: set(para_from).
% 2.06/2.27 dependent: set(para_into).
% 2.06/2.27 dependent: clear(para_from_right).
% 2.06/2.27 dependent: clear(para_into_right).
% 2.06/2.27 dependent: set(para_from_vars).
% 2.06/2.27 dependent: set(eq_units_both_ways).
% 2.06/2.27 dependent: set(dynamic_demod_all).
% 2.06/2.27 dependent: set(dynamic_demod).
% 2.06/2.27 dependent: set(order_eq).
% 2.06/2.27 dependent: set(back_demod).
% 2.06/2.27 dependent: set(lrpo).
% 2.06/2.27 dependent: set(hyper_res).
% 2.06/2.27 dependent: set(unit_deletion).
% 2.06/2.27 dependent: set(factor).
% 2.06/2.27
% 2.06/2.27 ------------> process usable:
% 2.06/2.27 ** 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.
% 2.06/2.27 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.06/2.27 ** KEPT (pick-wt=8): 4 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 2.06/2.27 ** KEPT (pick-wt=8): 5 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 2.06/2.27 ** KEPT (pick-wt=8): 6 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 2.06/2.27 ** KEPT (pick-wt=8): 7 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 2.06/2.27 ** KEPT (pick-wt=8): 8 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 2.06/2.27 ** KEPT (pick-wt=8): 9 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 2.06/2.27 ** KEPT (pick-wt=8): 10 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.06/2.27 ** KEPT (pick-wt=18): 11 [] -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).
% 2.06/2.27 ** KEPT (pick-wt=23): 12 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))| -latt_element_smaller(A,B,C)| -element(D,the_carrier(A))| -in(D,C)|below(A,D,B).
% 2.06/2.27 ** KEPT (pick-wt=19): 13 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|element($f1(A,B,C),the_carrier(A)).
% 2.06/2.27 ** KEPT (pick-wt=18): 14 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)|in($f1(A,B,C),C).
% 2.06/2.27 ** KEPT (pick-wt=19): 15 [] empty_carrier(A)| -latt_str(A)| -element(B,the_carrier(A))|latt_element_smaller(A,B,C)| -below(A,$f1(A,B,C),B).
% 2.06/2.27 ** KEPT (pick-wt=14): 17 [copy,16,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str_of(the_carrier(A),k2_lattice3(A))=poset_of_lattice(A).
% 2.06/2.27 ** KEPT (pick-wt=15): 18 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 2.06/2.27 ** KEPT (pick-wt=16): 19 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B.
% 2.06/2.27 ** KEPT (pick-wt=21): 20 [] -rel_str(A)| -element(B,the_carrier(A))| -relstr_set_smaller(A,C,B)| -element(D,the_carrier(A))| -in(D,C)|related(A,D,B).
% 2.06/2.27 ** KEPT (pick-wt=17): 21 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,C,B)|element($f2(A,C,B),the_carrier(A)).
% 2.06/2.27 ** KEPT (pick-wt=16): 22 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,C,B)|in($f2(A,C,B),C).
% 2.06/2.27 ** KEPT (pick-wt=17): 23 [] -rel_str(A)| -element(B,the_carrier(A))|relstr_set_smaller(A,C,B)| -related(A,$f2(A,C,B),B).
% 2.06/2.27 ** KEPT (pick-wt=8): 24 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 2.06/2.27 ** KEPT (pick-wt=8): 25 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 26 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 27 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 28 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 2.06/2.27 ** KEPT (pick-wt=13): 29 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 ** KEPT (pick-wt=13): 30 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 31 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 32 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 33 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 34 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 35 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 2.06/2.27 ** KEPT (pick-wt=17): 36 [] 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))).
% 2.06/2.27 ** KEPT (pick-wt=17): 37 [] 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)).
% 2.06/2.27 ** KEPT (pick-wt=9): 38 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 2.06/2.27 ** KEPT (pick-wt=4): 39 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 2.06/2.27 ** KEPT (pick-wt=4): 40 [] -rel_str(A)|one_sorted_str(A).
% 2.06/2.27 ** KEPT (pick-wt=4): 41 [] -join_semilatt_str(A)|one_sorted_str(A).
% 2.06/2.27 ** KEPT (pick-wt=4): 42 [] -latt_str(A)|meet_semilatt_str(A).
% 2.06/2.27 ** KEPT (pick-wt=4): 43 [] -latt_str(A)|join_semilatt_str(A).
% 2.06/2.27 ** KEPT (pick-wt=10): 44 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.06/2.27 ** KEPT (pick-wt=9): 45 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 ** KEPT (pick-wt=10): 46 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 2.06/2.27 Following clause subsumed by 24 during input processing: 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 2.06/2.27 ** KEPT (pick-wt=7): 47 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.06/2.27 ** KEPT (pick-wt=3): 48 [] -empty(powerset(A)).
% 2.06/2.27 ** KEPT (pick-wt=11): 49 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.06/2.27 ** KEPT (pick-wt=11): 50 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 2.06/2.27 ** KEPT (pick-wt=11): 51 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 2.06/2.27 ** KEPT (pick-wt=11): 52 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 2.06/2.27 ** KEPT (pick-wt=15): 53 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.06/2.27 Following clause subsumed by 24 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)).
% 2.06/2.27 ** KEPT (pick-wt=18): 54 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|reflexive_relstr(rel_str_of(B,A)).
% 2.06/2.27 ** KEPT (pick-wt=18): 55 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|transitive_relstr(rel_str_of(B,A)).
% 2.06/2.27 ** KEPT (pick-wt=18): 56 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|antisymmetric_relstr(rel_str_of(B,A)).
% 2.06/2.27 ** KEPT (pick-wt=9): 57 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 2.06/2.27 Following clause subsumed by 31 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 2.06/2.27 Following clause subsumed by 32 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 2.06/2.27 Following clause subsumed by 33 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 2.06/2.27 Following clause subsumed by 34 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 2.06/2.27 ** KEPT (pick-wt=8): 58 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.06/2.27 ** KEPT (pick-wt=14): 59 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 2.06/2.27 ** KEPT (pick-wt=14): 60 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 2.06/2.27 ** KEPT (pick-wt=5): 61 [] empty(A)| -empty($f6(A)).
% 2.06/2.27 ** KEPT (pick-wt=2): 62 [] -empty_carrier($c8).
% 2.06/2.27 ** KEPT (pick-wt=2): 63 [] -empty($c9).
% 2.06/2.27 ** KEPT (pick-wt=2): 64 [] -empty_carrier($c10).
% 2.06/2.27 ** KEPT (pick-wt=10): 65 [] empty_carrier(A)| -one_sorted_str(A)|element($f8(A),powerset(the_carrier(A))).
% 2.06/2.27 ** KEPT (pick-wt=7): 66 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f8(A)).
% 2.06/2.27 ** KEPT (pick-wt=11): 68 [copy,67,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of_lattice(A)=k2_lattice3(A).
% 2.06/2.27 ** KEPT (pick-wt=8): 69 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.06/2.27 ** KEPT (pick-wt=8): 70 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.06/2.27 ** KEPT (pick-wt=26): 71 [] 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).
% 2.06/2.27 ** KEPT (pick-wt=26): 72 [] 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).
% 2.06/2.27 ** KEPT (pick-wt=22): 73 [] 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).
% 2.06/2.27 ** KEPT (pick-wt=22): 74 [] 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).
% 2.06/2.27 ** KEPT (pick-wt=18): 76 [copy,75,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).
% 2.06/2.27 ** KEPT (pick-wt=14): 78 [copy,77,factor_simp] empty_carrier(A)| -reflexive_relstr(A)| -rel_str(A)| -element(B,the_carrier(A))|related_reflexive(A,B,B).
% 2.06/2.27 ** KEPT (pick-wt=6): 79 [] -in(A,B)|element(A,B).
% 2.06/2.27 ** KEPT (pick-wt=8): 80 [] -element(A,B)|empty(B)|in(A,B).
% 2.06/2.27 ** KEPT (pick-wt=2): 81 [] -empty_carrier($c12).
% 2.06/2.27 ** KEPT (pick-wt=11): 82 [] -latt_element_smaller($c12,$c11,$c13)| -relstr_set_smaller(poset_of_lattice($c12),$c13,cast_to_el_of_LattPOSet($c12,$c11)).
% 2.06/2.27 ** KEPT (pick-wt=7): 83 [] -element(A,powerset(B))|subset(A,B).
% 2.06/2.27 ** KEPT (pick-wt=7): 84 [] element(A,powerset(B))| -subset(A,B).
% 2.06/2.27 ** KEPT (pick-wt=10): 85 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.06/2.27 ** KEPT (pick-wt=9): 86 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.06/2.27 ** KEPT (pick-wt=5): 87 [] -empty(A)|A=empty_set.
% 2.06/2.27 ** KEPT (pick-wt=5): 88 [] -in(A,B)| -empty(B).
% 2.06/2.27 ** KEPT (pick-wt=27): 89 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -below_refl(A,B,C)|related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.06/2.27 ** KEPT (pick-wt=27): 90 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))|below_refl(A,B,C)| -related_reflexive(poset_of_lattice(A),cast_to_el_of_LattPOSet(A,B),cast_to_el_of_LattPOSet(A,C)).
% 2.06/2.27 ** KEPT (pick-wt=7): 91 [] -empty(A)|A=B| -empty(B).
% 2.06/2.27
% 2.06/2.27 ------------> process sos:
% 2.06/2.27 ** KEPT (pick-wt=3): 101 [] A=A.
% 2.06/2.27 ** KEPT (pick-wt=2): 102 [] meet_semilatt_str($c1).
% 2.06/2.27 ** KEPT (pick-wt=2): 103 [] rel_str($c2).
% 2.06/2.27 ** KEPT (pick-wt=2): 104 [] one_sorted_str($c3).
% 2.06/2.27 ** KEPT (pick-wt=2): 105 [] join_semilatt_str($c4).
% 2.06/2.27 ** KEPT (pick-wt=2): 106 [] latt_str($c5).
% 2.06/2.27 ** KEPT (pick-wt=6): 107 [] relation_of2($f3(A,B),A,B).
% 2.06/2.27 ** KEPT (pick-wt=4): 108 [] element($f4(A),A).
% 2.06/2.27 ** KEPT (pick-wt=6): 109 [] relation_of2_as_subset($f5(A,B),A,B).
% 2.06/2.27 ** KEPT (pick-wt=2): 110 [] empty(empty_set).
% 2.06/2.27 ** KEPT (pick-wt=2): 111 [] rel_str($c6).
% 2.06/2.27 ** KEPT (pick-wt=2): 112 [] strict_rel_str($c6).
% 2.06/2.27 ** KEPT (pick-wt=7): 113 [] empty(A)|element($f6(A),powerset(A)).
% 2.06/2.27 ** KEPT (pick-wt=2): 114 [] empty($c7).
% 2.06/2.27 ** KEPT (pick-wt=2): 115 [] rel_str($c8).
% 2.06/2.27 ** KEPT (pick-wt=2): 116 [] strict_rel_str($c8).
% 2.06/2.27 ** KEPT (pick-wt=2): 117 [] reflexive_relstr($c8).
% 2.06/2.27 ** KEPT (pick-wt=2): 118 [] transitive_relstr($c8).
% 2.06/2.27 ** KEPT (pick-wt=2): 119 [] antisymmetric_relstr($c8).
% 2.06/2.27 ** KEPT (pick-wt=5): 120 [] element($f7(A),powerset(A)).
% 2.06/2.27 ** KEPT (pick-wt=3): 121 [] empty($f7(A)).
% 2.06/2.27 ** KEPT (pick-wt=2): 122 [] one_sorted_str($c10).
% 2.06/2.27 ** KEPT (pick-wt=3): 123 [] subset(A,A).
% 2.06/2.27 ** KEPT (pick-wt=2): 124 [] lattice($c12).
% 2.06/2.27 ** KEPT (pick-wt=2): 125 [] latt_str($c12).
% 2.06/2.27 ** KEPT (pick-wt=4): 126 [] element($c11,the_carrier($c12)).
% 2.06/2.27 ** KEPT (pick-wt=11): 127 [] latt_element_smaller($c12,$c11,$c13)|relstr_set_smaller(poset_of_lattice($c12),$c13,cast_to_el_of_LattPOSet($c12,$c11)).
% 2.59/2.81 Following clause subsumed by 101 during input processing: 0 [copy,101,flip.1] A=A.
% 2.59/2.81 101 back subsumes 100.
% 2.59/2.81
% 2.59/2.81 ======= end of input processing =======
% 2.59/2.81
% 2.59/2.81 =========== start of search ===========
% 2.59/2.81
% 2.59/2.81
% 2.59/2.81 Resetting weight limit to 5.
% 2.59/2.81
% 2.59/2.81
% 2.59/2.81 Resetting weight limit to 5.
% 2.59/2.81
% 2.59/2.81 sos_size=700
% 2.59/2.81
% 2.59/2.81 Search stopped because sos empty.
% 2.59/2.81
% 2.59/2.81
% 2.59/2.81 Search stopped because sos empty.
% 2.59/2.81
% 2.59/2.81 ============ end of search ============
% 2.59/2.81
% 2.59/2.81 -------------- statistics -------------
% 2.59/2.81 clauses given 804
% 2.59/2.81 clauses generated 47512
% 2.59/2.81 clauses kept 920
% 2.59/2.81 clauses forward subsumed 805
% 2.59/2.81 clauses back subsumed 2
% 2.59/2.81 Kbytes malloced 5859
% 2.59/2.81
% 2.59/2.81 ----------- times (seconds) -----------
% 2.59/2.81 user CPU time 0.55 (0 hr, 0 min, 0 sec)
% 2.59/2.81 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.59/2.81 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.59/2.81
% 2.59/2.81 Process 28121 finished Wed Jul 27 07:56:10 2022
% 2.59/2.81 Otter interrupted
% 2.59/2.81 PROOF NOT FOUND
%------------------------------------------------------------------------------