TSTP Solution File: SEU350+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n024.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 13:15:48 EDT 2022
% Result : Unknown 2.61s 2.76s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU350+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : otter-tptp-script %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Jul 27 07:45:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.84/2.02 ----- Otter 3.3f, August 2004 -----
% 1.84/2.02 The process was started by sandbox2 on n024.cluster.edu,
% 1.84/2.02 Wed Jul 27 07:45:40 2022
% 1.84/2.02 The command was "./otter". The process ID is 25568.
% 1.84/2.02
% 1.84/2.02 set(prolog_style_variables).
% 1.84/2.02 set(auto).
% 1.84/2.02 dependent: set(auto1).
% 1.84/2.02 dependent: set(process_input).
% 1.84/2.02 dependent: clear(print_kept).
% 1.84/2.02 dependent: clear(print_new_demod).
% 1.84/2.02 dependent: clear(print_back_demod).
% 1.84/2.02 dependent: clear(print_back_sub).
% 1.84/2.02 dependent: set(control_memory).
% 1.84/2.02 dependent: assign(max_mem, 12000).
% 1.84/2.02 dependent: assign(pick_given_ratio, 4).
% 1.84/2.02 dependent: assign(stats_level, 1).
% 1.84/2.02 dependent: assign(max_seconds, 10800).
% 1.84/2.02 clear(print_given).
% 1.84/2.02
% 1.84/2.02 formula_list(usable).
% 1.84/2.02 all A (A=A).
% 1.84/2.02 all A (rel_str(A)-> (strict_rel_str(A)->A=rel_str_of(the_carrier(A),the_InternalRel(A)))).
% 1.84/2.02 all A B (in(A,B)-> -in(B,A)).
% 1.84/2.02 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))).
% 1.84/2.02 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 1.84/2.02 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))).
% 1.84/2.02 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A))).
% 1.84/2.02 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))).
% 1.84/2.02 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))).
% 1.84/2.02 all A B (relation_of2(B,A,A)->strict_rel_str(rel_str_of(A,B))&rel_str(rel_str_of(A,B))).
% 1.84/2.02 $T.
% 1.84/2.02 $T.
% 1.84/2.02 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))).
% 1.84/2.02 $T.
% 1.84/2.02 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))).
% 1.84/2.02 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)))).
% 1.84/2.02 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))).
% 1.84/2.02 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->relation(relation_of_lattice(A))).
% 1.84/2.02 all A (meet_semilatt_str(A)->one_sorted_str(A)).
% 1.84/2.02 all A (rel_str(A)->one_sorted_str(A)).
% 1.84/2.02 $T.
% 1.84/2.02 all A (join_semilatt_str(A)->one_sorted_str(A)).
% 1.84/2.02 all A (latt_str(A)->meet_semilatt_str(A)&join_semilatt_str(A)).
% 1.84/2.02 $T.
% 1.84/2.02 $T.
% 1.84/2.02 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 1.84/2.02 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 1.84/2.02 $T.
% 1.84/2.02 exists A meet_semilatt_str(A).
% 1.84/2.02 exists A rel_str(A).
% 1.84/2.02 exists A one_sorted_str(A).
% 1.84/2.02 exists A join_semilatt_str(A).
% 1.84/2.02 exists A latt_str(A).
% 1.84/2.02 all A B exists C relation_of2(C,A,B).
% 1.84/2.02 all A exists B element(B,A).
% 1.84/2.02 all A B exists C relation_of2_as_subset(C,A,B).
% 1.84/2.02 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))).
% 1.84/2.02 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 1.84/2.02 all A (-empty(powerset(A))).
% 1.84/2.02 empty(empty_set).
% 1.84/2.02 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))).
% 1.84/2.02 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))).
% 1.84/2.02 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))).
% 1.84/2.02 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 1.84/2.02 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))).
% 1.84/2.02 exists A (rel_str(A)&strict_rel_str(A)).
% 1.84/2.02 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 1.84/2.02 exists A empty(A).
% 1.84/2.02 exists A (rel_str(A)& -empty_carrier(A)&strict_rel_str(A)&reflexive_relstr(A)&transitive_relstr(A)&antisymmetric_relstr(A)).
% 1.84/2.02 all A exists B (element(B,powerset(A))&empty(B)).
% 1.84/2.02 exists A (-empty(A)).
% 1.84/2.02 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 1.84/2.02 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 1.84/2.02 all A (-empty_carrier(A)&lattice(A)&latt_str(A)->k2_lattice3(A)=relation_of_lattice(A)).
% 1.84/2.02 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 1.84/2.02 all A B subset(A,A).
% 1.84/2.02 all A B (in(A,B)->element(A,B)).
% 1.84/2.02 all A B (element(A,B)->empty(B)|in(A,B)).
% 1.84/2.02 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)))))).
% 1.84/2.02 -(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)))))).
% 1.84/2.02 all A B (element(A,powerset(B))<->subset(A,B)).
% 1.84/2.02 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 1.84/2.02 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 1.84/2.02 all A (empty(A)->A=empty_set).
% 1.84/2.02 all A B (-(in(A,B)&empty(B))).
% 1.84/2.02 all A B (-(empty(A)&A!=B&empty(B))).
% 1.84/2.02 end_of_list.
% 1.84/2.02
% 1.84/2.02 -------> usable clausifies to:
% 1.84/2.02
% 1.84/2.02 list(usable).
% 1.84/2.02 0 [] A=A.
% 1.84/2.02 0 [] -rel_str(A)| -strict_rel_str(A)|A=rel_str_of(the_carrier(A),the_InternalRel(A)).
% 1.84/2.02 0 [] -in(A,B)| -in(B,A).
% 1.84/2.02 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 1.84/2.02 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 1.84/2.02 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 1.84/2.02 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 1.84/2.02 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 1.84/2.02 0 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 1.84/2.02 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 1.84/2.02 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).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|poset_of_lattice(A)=rel_str_of(the_carrier(A),k2_lattice3(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 1.84/2.02 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.
% 1.84/2.02 0 [] -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 1.84/2.02 0 [] -relation_of2(B,A,A)|rel_str(rel_str_of(A,B)).
% 1.84/2.02 0 [] $T.
% 1.84/2.02 0 [] $T.
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.84/2.02 0 [] $T.
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 1.84/2.02 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))).
% 1.84/2.02 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)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 1.84/2.02 0 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 1.84/2.02 0 [] -rel_str(A)|one_sorted_str(A).
% 1.84/2.02 0 [] $T.
% 1.84/2.02 0 [] -join_semilatt_str(A)|one_sorted_str(A).
% 1.84/2.02 0 [] -latt_str(A)|meet_semilatt_str(A).
% 1.84/2.02 0 [] -latt_str(A)|join_semilatt_str(A).
% 1.84/2.02 0 [] $T.
% 1.84/2.02 0 [] $T.
% 1.84/2.02 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 1.84/2.02 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.84/2.02 0 [] $T.
% 1.84/2.02 0 [] meet_semilatt_str($c1).
% 1.84/2.02 0 [] rel_str($c2).
% 1.84/2.02 0 [] one_sorted_str($c3).
% 1.84/2.02 0 [] join_semilatt_str($c4).
% 1.84/2.02 0 [] latt_str($c5).
% 1.84/2.02 0 [] relation_of2($f1(A,B),A,B).
% 1.84/2.02 0 [] element($f2(A),A).
% 1.84/2.02 0 [] relation_of2_as_subset($f3(A,B),A,B).
% 1.84/2.02 0 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 1.84/2.02 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 1.84/2.02 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.84/2.02 0 [] -empty(powerset(A)).
% 1.84/2.02 0 [] empty(empty_set).
% 1.84/2.02 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 1.84/2.02 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 1.84/2.02 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 1.84/2.02 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 1.84/2.02 0 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.84/2.02 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)).
% 1.84/2.02 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|reflexive_relstr(rel_str_of(A,B)).
% 1.84/2.02 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|transitive_relstr(rel_str_of(A,B)).
% 1.84/2.02 0 [] -reflexive(B)| -antisymmetric(B)| -transitive(B)| -v1_partfun1(B,A,A)| -relation_of2(B,A,A)|antisymmetric_relstr(rel_str_of(A,B)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.84/2.02 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 1.84/2.02 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|A=C.
% 1.84/2.02 0 [] -relation_of2(B,A,A)|rel_str_of(A,B)!=rel_str_of(C,D)|B=D.
% 1.84/2.02 0 [] rel_str($c6).
% 1.84/2.02 0 [] strict_rel_str($c6).
% 1.84/2.02 0 [] empty(A)|element($f4(A),powerset(A)).
% 1.84/2.02 0 [] empty(A)| -empty($f4(A)).
% 1.84/2.02 0 [] empty($c7).
% 1.84/2.02 0 [] rel_str($c8).
% 1.84/2.02 0 [] -empty_carrier($c8).
% 1.84/2.02 0 [] strict_rel_str($c8).
% 1.84/2.02 0 [] reflexive_relstr($c8).
% 1.84/2.02 0 [] transitive_relstr($c8).
% 1.84/2.02 0 [] antisymmetric_relstr($c8).
% 1.84/2.02 0 [] element($f5(A),powerset(A)).
% 1.84/2.02 0 [] empty($f5(A)).
% 1.84/2.02 0 [] -empty($c9).
% 1.84/2.02 0 [] one_sorted_str($c10).
% 1.84/2.02 0 [] -empty_carrier($c10).
% 1.84/2.02 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f6(A),powerset(the_carrier(A))).
% 1.84/2.02 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f6(A)).
% 1.84/2.02 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|k2_lattice3(A)=relation_of_lattice(A).
% 1.84/2.02 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 1.84/2.02 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 1.84/2.02 0 [] subset(A,A).
% 1.84/2.02 0 [] -in(A,B)|element(A,B).
% 1.84/2.02 0 [] -element(A,B)|empty(B)|in(A,B).
% 1.84/2.02 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(B))| -latt_element_smaller(B,C,A)|relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)).
% 1.84/2.02 0 [] empty_carrier(B)| -lattice(B)| -latt_str(B)| -element(C,the_carrier(B))|latt_element_smaller(B,C,A)| -relstr_set_smaller(poset_of_lattice(B),A,cast_to_el_of_LattPOSet(B,C)).
% 1.84/2.02 0 [] -empty_carrier($c12).
% 1.84/2.02 0 [] lattice($c12).
% 1.84/2.02 0 [] latt_str($c12).
% 1.84/2.02 0 [] element($c11,the_carrier(poset_of_lattice($c12))).
% 1.84/2.02 0 [] relstr_set_smaller(poset_of_lattice($c12),$c13,$c11)|latt_element_smaller($c12,cast_to_el_of_lattice($c12,$c11),$c13).
% 1.84/2.02 0 [] -relstr_set_smaller(poset_of_lattice($c12),$c13,$c11)| -latt_element_smaller($c12,cast_to_el_of_lattice($c12,$c11),$c13).
% 1.84/2.02 0 [] -element(A,powerset(B))|subset(A,B).
% 1.84/2.02 0 [] element(A,powerset(B))| -subset(A,B).
% 1.84/2.02 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 1.84/2.02 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 1.84/2.02 0 [] -empty(A)|A=empty_set.
% 1.84/2.02 0 [] -in(A,B)| -empty(B).
% 1.84/2.02 0 [] -empty(A)|A=B| -empty(B).
% 1.84/2.02 end_of_list.
% 1.84/2.02
% 1.84/2.02 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=9.
% 1.84/2.02
% 1.84/2.02 This ia a non-Horn set with equality. The strategy will be
% 1.84/2.02 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 1.84/2.02 deletion, with positive clauses in sos and nonpositive
% 1.84/2.02 clauses in usable.
% 1.84/2.02
% 1.84/2.02 dependent: set(knuth_bendix).
% 1.84/2.02 dependent: set(anl_eq).
% 1.84/2.02 dependent: set(para_from).
% 1.84/2.02 dependent: set(para_into).
% 1.84/2.02 dependent: clear(para_from_right).
% 1.84/2.02 dependent: clear(para_into_right).
% 1.84/2.02 dependent: set(para_from_vars).
% 1.84/2.02 dependent: set(eq_units_both_ways).
% 1.84/2.02 dependent: set(dynamic_demod_all).
% 1.84/2.02 dependent: set(dynamic_demod).
% 1.84/2.02 dependent: set(order_eq).
% 1.84/2.02 dependent: set(back_demod).
% 1.84/2.02 dependent: set(lrpo).
% 1.84/2.02 dependent: set(hyper_res).
% 1.84/2.02 dependent: set(unit_deletion).
% 1.84/2.02 dependent: set(factor).
% 1.84/2.02
% 1.84/2.02 ------------> process usable:
% 1.84/2.02 ** 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.
% 1.84/2.02 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 1.84/2.02 ** KEPT (pick-wt=8): 4 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_commutative(A).
% 1.84/2.02 ** KEPT (pick-wt=8): 5 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_associative(A).
% 1.84/2.02 ** KEPT (pick-wt=8): 6 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_commutative(A).
% 1.84/2.02 ** KEPT (pick-wt=8): 7 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_associative(A).
% 1.84/2.02 ** KEPT (pick-wt=8): 8 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|meet_absorbing(A).
% 1.84/2.02 ** KEPT (pick-wt=8): 9 [] -latt_str(A)|empty_carrier(A)| -lattice(A)|join_absorbing(A).
% 1.84/2.02 ** KEPT (pick-wt=8): 10 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 1.84/2.02 ** 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).
% 1.84/2.02 ** KEPT (pick-wt=14): 13 [copy,12,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str_of(the_carrier(A),k2_lattice3(A))=poset_of_lattice(A).
% 1.84/2.02 ** KEPT (pick-wt=15): 14 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(A))|cast_to_el_of_LattPOSet(A,B)=B.
% 1.84/2.02 ** KEPT (pick-wt=16): 15 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -element(B,the_carrier(poset_of_lattice(A)))|cast_to_el_of_lattice(A,B)=B.
% 1.84/2.02 ** KEPT (pick-wt=8): 16 [] -relation_of2(A,B,B)|strict_rel_str(rel_str_of(B,A)).
% 1.84/2.02 ** KEPT (pick-wt=8): 17 [] -relation_of2(A,B,B)|rel_str(rel_str_of(B,A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 18 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive(k2_lattice3(A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 19 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric(k2_lattice3(A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 20 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive(k2_lattice3(A)).
% 1.84/2.02 ** KEPT (pick-wt=13): 21 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|v1_partfun1(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.84/2.02 ** KEPT (pick-wt=13): 22 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of2_as_subset(k2_lattice3(A),the_carrier(A),the_carrier(A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 23 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 24 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 25 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 26 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.84/2.02 ** KEPT (pick-wt=9): 27 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|rel_str(poset_of_lattice(A)).
% 1.84/2.03 ** KEPT (pick-wt=17): 28 [] 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))).
% 1.84/2.03 ** KEPT (pick-wt=17): 29 [] 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)).
% 1.84/2.03 ** KEPT (pick-wt=9): 30 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation(relation_of_lattice(A)).
% 1.84/2.03 ** KEPT (pick-wt=4): 31 [] -meet_semilatt_str(A)|one_sorted_str(A).
% 1.84/2.03 ** KEPT (pick-wt=4): 32 [] -rel_str(A)|one_sorted_str(A).
% 1.84/2.03 ** KEPT (pick-wt=4): 33 [] -join_semilatt_str(A)|one_sorted_str(A).
% 1.84/2.03 ** KEPT (pick-wt=4): 34 [] -latt_str(A)|meet_semilatt_str(A).
% 1.84/2.03 ** KEPT (pick-wt=4): 35 [] -latt_str(A)|join_semilatt_str(A).
% 1.84/2.03 ** KEPT (pick-wt=10): 36 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 1.84/2.03 ** KEPT (pick-wt=9): 37 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.84/2.03 ** KEPT (pick-wt=10): 38 [] empty(A)| -relation_of2(B,A,A)| -empty_carrier(rel_str_of(A,B)).
% 1.84/2.03 Following clause subsumed by 16 during input processing: 0 [] empty(A)| -relation_of2(B,A,A)|strict_rel_str(rel_str_of(A,B)).
% 1.84/2.03 ** KEPT (pick-wt=7): 39 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 1.84/2.03 ** KEPT (pick-wt=3): 40 [] -empty(powerset(A)).
% 1.84/2.03 ** KEPT (pick-wt=11): 41 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 1.84/2.03 ** KEPT (pick-wt=11): 42 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|reflexive(the_InternalRel(A)).
% 1.84/2.03 ** KEPT (pick-wt=11): 43 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|antisymmetric(the_InternalRel(A)).
% 1.84/2.03 ** KEPT (pick-wt=11): 44 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|transitive(the_InternalRel(A)).
% 1.84/2.03 ** KEPT (pick-wt=15): 45 [] -reflexive_relstr(A)| -transitive_relstr(A)| -antisymmetric_relstr(A)| -rel_str(A)|v1_partfun1(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 1.84/2.03 Following clause subsumed by 16 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)).
% 1.84/2.03 ** KEPT (pick-wt=18): 46 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|reflexive_relstr(rel_str_of(B,A)).
% 1.84/2.03 ** KEPT (pick-wt=18): 47 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|transitive_relstr(rel_str_of(B,A)).
% 1.84/2.03 ** KEPT (pick-wt=18): 48 [] -reflexive(A)| -antisymmetric(A)| -transitive(A)| -v1_partfun1(A,B,B)| -relation_of2(A,B,B)|antisymmetric_relstr(rel_str_of(B,A)).
% 1.84/2.03 ** KEPT (pick-wt=9): 49 [] empty_carrier(A)| -lattice(A)| -latt_str(A)| -empty_carrier(poset_of_lattice(A)).
% 1.84/2.03 Following clause subsumed by 23 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|strict_rel_str(poset_of_lattice(A)).
% 1.84/2.03 Following clause subsumed by 24 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|reflexive_relstr(poset_of_lattice(A)).
% 1.84/2.03 Following clause subsumed by 25 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|transitive_relstr(poset_of_lattice(A)).
% 1.84/2.03 Following clause subsumed by 26 during input processing: 0 [] empty_carrier(A)| -lattice(A)| -latt_str(A)|antisymmetric_relstr(poset_of_lattice(A)).
% 1.84/2.03 ** KEPT (pick-wt=8): 50 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 1.84/2.03 ** KEPT (pick-wt=14): 51 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|B=C.
% 1.84/2.03 ** KEPT (pick-wt=14): 52 [] -relation_of2(A,B,B)|rel_str_of(B,A)!=rel_str_of(C,D)|A=D.
% 1.84/2.03 ** KEPT (pick-wt=5): 53 [] empty(A)| -empty($f4(A)).
% 1.84/2.03 ** KEPT (pick-wt=2): 54 [] -empty_carrier($c8).
% 1.84/2.03 ** KEPT (pick-wt=2): 55 [] -empty($c9).
% 1.84/2.03 ** KEPT (pick-wt=2): 56 [] -empty_carrier($c10).
% 1.84/2.03 ** KEPT (pick-wt=10): 57 [] empty_carrier(A)| -one_sorted_str(A)|element($f6(A),powerset(the_carrier(A))).
% 1.84/2.03 ** KEPT (pick-wt=7): 58 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f6(A)).
% 1.84/2.03 ** KEPT (pick-wt=11): 60 [copy,59,flip.4] empty_carrier(A)| -lattice(A)| -latt_str(A)|relation_of_lattice(A)=k2_lattice3(A).
% 2.61/2.76 ** KEPT (pick-wt=8): 61 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.61/2.76 ** KEPT (pick-wt=8): 62 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.61/2.76 ** KEPT (pick-wt=6): 63 [] -in(A,B)|element(A,B).
% 2.61/2.76 ** KEPT (pick-wt=8): 64 [] -element(A,B)|empty(B)|in(A,B).
% 2.61/2.76 ** KEPT (pick-wt=21): 65 [] 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)).
% 2.61/2.76 ** KEPT (pick-wt=21): 66 [] 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)).
% 2.61/2.76 ** KEPT (pick-wt=2): 67 [] -empty_carrier($c12).
% 2.61/2.76 ** KEPT (pick-wt=11): 68 [] -relstr_set_smaller(poset_of_lattice($c12),$c13,$c11)| -latt_element_smaller($c12,cast_to_el_of_lattice($c12,$c11),$c13).
% 2.61/2.76 ** KEPT (pick-wt=7): 69 [] -element(A,powerset(B))|subset(A,B).
% 2.61/2.76 ** KEPT (pick-wt=7): 70 [] element(A,powerset(B))| -subset(A,B).
% 2.61/2.76 ** KEPT (pick-wt=10): 71 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.61/2.76 ** KEPT (pick-wt=9): 72 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.61/2.76 ** KEPT (pick-wt=5): 73 [] -empty(A)|A=empty_set.
% 2.61/2.76 ** KEPT (pick-wt=5): 74 [] -in(A,B)| -empty(B).
% 2.61/2.76 ** KEPT (pick-wt=7): 75 [] -empty(A)|A=B| -empty(B).
% 2.61/2.76
% 2.61/2.76 ------------> process sos:
% 2.61/2.76 ** KEPT (pick-wt=3): 79 [] A=A.
% 2.61/2.76 ** KEPT (pick-wt=2): 80 [] meet_semilatt_str($c1).
% 2.61/2.76 ** KEPT (pick-wt=2): 81 [] rel_str($c2).
% 2.61/2.76 ** KEPT (pick-wt=2): 82 [] one_sorted_str($c3).
% 2.61/2.76 ** KEPT (pick-wt=2): 83 [] join_semilatt_str($c4).
% 2.61/2.76 ** KEPT (pick-wt=2): 84 [] latt_str($c5).
% 2.61/2.76 ** KEPT (pick-wt=6): 85 [] relation_of2($f1(A,B),A,B).
% 2.61/2.76 ** KEPT (pick-wt=4): 86 [] element($f2(A),A).
% 2.61/2.76 ** KEPT (pick-wt=6): 87 [] relation_of2_as_subset($f3(A,B),A,B).
% 2.61/2.76 ** KEPT (pick-wt=2): 88 [] empty(empty_set).
% 2.61/2.76 ** KEPT (pick-wt=2): 89 [] rel_str($c6).
% 2.61/2.76 ** KEPT (pick-wt=2): 90 [] strict_rel_str($c6).
% 2.61/2.76 ** KEPT (pick-wt=7): 91 [] empty(A)|element($f4(A),powerset(A)).
% 2.61/2.76 ** KEPT (pick-wt=2): 92 [] empty($c7).
% 2.61/2.76 ** KEPT (pick-wt=2): 93 [] rel_str($c8).
% 2.61/2.76 ** KEPT (pick-wt=2): 94 [] strict_rel_str($c8).
% 2.61/2.76 ** KEPT (pick-wt=2): 95 [] reflexive_relstr($c8).
% 2.61/2.76 ** KEPT (pick-wt=2): 96 [] transitive_relstr($c8).
% 2.61/2.76 ** KEPT (pick-wt=2): 97 [] antisymmetric_relstr($c8).
% 2.61/2.76 ** KEPT (pick-wt=5): 98 [] element($f5(A),powerset(A)).
% 2.61/2.76 ** KEPT (pick-wt=3): 99 [] empty($f5(A)).
% 2.61/2.76 ** KEPT (pick-wt=2): 100 [] one_sorted_str($c10).
% 2.61/2.76 ** KEPT (pick-wt=3): 101 [] subset(A,A).
% 2.61/2.76 ** KEPT (pick-wt=2): 102 [] lattice($c12).
% 2.61/2.76 ** KEPT (pick-wt=2): 103 [] latt_str($c12).
% 2.61/2.76 ** KEPT (pick-wt=5): 104 [] element($c11,the_carrier(poset_of_lattice($c12))).
% 2.61/2.76 ** KEPT (pick-wt=11): 105 [] relstr_set_smaller(poset_of_lattice($c12),$c13,$c11)|latt_element_smaller($c12,cast_to_el_of_lattice($c12,$c11),$c13).
% 2.61/2.76 Following clause subsumed by 79 during input processing: 0 [copy,79,flip.1] A=A.
% 2.61/2.76 79 back subsumes 78.
% 2.61/2.76
% 2.61/2.76 ======= end of input processing =======
% 2.61/2.76
% 2.61/2.76 =========== start of search ===========
% 2.61/2.76
% 2.61/2.76
% 2.61/2.76 Resetting weight limit to 6.
% 2.61/2.76
% 2.61/2.76
% 2.61/2.76 Resetting weight limit to 6.
% 2.61/2.76
% 2.61/2.76 sos_size=872
% 2.61/2.76
% 2.61/2.76 Search stopped because sos empty.
% 2.61/2.76
% 2.61/2.76
% 2.61/2.76 Search stopped because sos empty.
% 2.61/2.76
% 2.61/2.76 ============ end of search ============
% 2.61/2.76
% 2.61/2.76 -------------- statistics -------------
% 2.61/2.76 clauses given 1077
% 2.61/2.76 clauses generated 91056
% 2.61/2.76 clauses kept 1175
% 2.61/2.76 clauses forward subsumed 1548
% 2.61/2.76 clauses back subsumed 3
% 2.61/2.76 Kbytes malloced 6835
% 2.61/2.76
% 2.61/2.76 ----------- times (seconds) -----------
% 2.61/2.76 user CPU time 0.74 (0 hr, 0 min, 0 sec)
% 2.61/2.76 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 2.61/2.76 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.61/2.76
% 2.61/2.76 Process 25568 finished Wed Jul 27 07:45:42 2022
% 2.61/2.76 Otter interrupted
% 2.61/2.76 PROOF NOT FOUND
%------------------------------------------------------------------------------