TSTP Solution File: SEU390+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU390+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n020.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 13:16:02 EDT 2022
% Result : Unknown 5.61s 5.74s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU390+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jul 27 07:56:08 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.82/2.97 ----- Otter 3.3f, August 2004 -----
% 2.82/2.97 The process was started by sandbox2 on n020.cluster.edu,
% 2.82/2.97 Wed Jul 27 07:56:08 2022
% 2.82/2.97 The command was "./otter". The process ID is 16897.
% 2.82/2.97
% 2.82/2.97 set(prolog_style_variables).
% 2.82/2.97 set(auto).
% 2.82/2.97 dependent: set(auto1).
% 2.82/2.97 dependent: set(process_input).
% 2.82/2.97 dependent: clear(print_kept).
% 2.82/2.97 dependent: clear(print_new_demod).
% 2.82/2.97 dependent: clear(print_back_demod).
% 2.82/2.97 dependent: clear(print_back_sub).
% 2.82/2.97 dependent: set(control_memory).
% 2.82/2.97 dependent: assign(max_mem, 12000).
% 2.82/2.97 dependent: assign(pick_given_ratio, 4).
% 2.82/2.97 dependent: assign(stats_level, 1).
% 2.82/2.97 dependent: assign(max_seconds, 10800).
% 2.82/2.97 clear(print_given).
% 2.82/2.97
% 2.82/2.97 formula_list(usable).
% 2.82/2.97 all A (A=A).
% 2.82/2.97 all A B (one_sorted_str(A)&net_str(B,A)-> (strict_net_str(B,A)->B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)))).
% 2.82/2.97 all A B (in(A,B)-> -in(B,A)).
% 2.82/2.97 all A (empty(A)->finite(A)).
% 2.82/2.97 all A (empty(A)->relation(A)).
% 2.82/2.97 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.82/2.97 all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 2.82/2.97 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (is_eventually_in(A,B,C)<-> (exists D (element(D,the_carrier(B))& (all E (element(E,the_carrier(B))-> (related(B,D,E)->in(apply_netmap(A,B,E),C))))))))))).
% 2.82/2.97 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,powerset(the_carrier(A)))-> (netstr_induced_subset(C,A,B)<-> (exists D (element(D,the_carrier(B))&C=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,D)),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,D))))))))))).
% 2.82/2.97 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))-> (all D (strict_net_str(D,A)&net_str(D,A)-> (D=netstr_restr_to_element(A,B,C)<-> (all E (in(E,the_carrier(D))<-> (exists F (element(F,the_carrier(B))&F=E&related(B,C,F)))))&the_InternalRel(D)=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))&the_mapping(A,D)=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)))))))))).
% 2.82/2.97 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))->apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C)))))).
% 2.82/2.97 all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))->strict_net_str(net_str_of(A,B,C,D),A)&net_str(net_str_of(A,B,C,D),A)).
% 2.82/2.97 $T.
% 2.82/2.97 all A B (relation(A)->relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B)).
% 2.82/2.97 all A B C D (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,the_carrier(A),the_carrier(B))&relation_of2(C,the_carrier(A),the_carrier(B))&element(D,the_carrier(A))->element(apply_on_structs(A,B,C,D),the_carrier(B))).
% 2.82/2.97 $T.
% 2.82/2.97 $T.
% 2.82/2.97 all A B C D (function(C)&relation_of2(C,A,B)->function(partfun_dom_restriction(A,B,C,D))&relation_of2_as_subset(partfun_dom_restriction(A,B,C,D),A,B)).
% 2.82/2.97 $T.
% 2.82/2.97 all A B (relation(A)->relation(relation_restriction(A,B))).
% 2.82/2.97 $T.
% 2.82/2.97 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)&element(C,the_carrier(B))->element(apply_netmap(A,B,C),the_carrier(A))).
% 2.82/2.97 all A B C (relation_of2(C,A,B)->element(relation_rng_as_subset(A,B,C),powerset(B))).
% 2.82/2.97 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)&element(C,the_carrier(B))->strict_net_str(netstr_restr_to_element(A,B,C),A)&net_str(netstr_restr_to_element(A,B,C),A)).
% 2.82/2.97 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))->strict_net_str(subnetstr_of_element(A,B,C),A)&subnet(subnetstr_of_element(A,B,C),A,B)).
% 2.82/2.97 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 2.82/2.97 all A (rel_str(A)->one_sorted_str(A)).
% 2.82/2.97 $T.
% 2.82/2.97 all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 2.82/2.97 $T.
% 2.82/2.97 $T.
% 2.82/2.97 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> (all C (netstr_induced_subset(C,A,B)->element(C,powerset(the_carrier(A)))))).
% 2.82/2.97 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.82/2.97 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C (subnet(C,A,B)-> -empty_carrier(C)&transitive_relstr(C)&directed_relstr(C)&net_str(C,A)))).
% 2.82/2.97 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.82/2.97 $T.
% 2.82/2.97 all A B (one_sorted_str(A)&net_str(B,A)->function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))&relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 2.82/2.97 exists A rel_str(A).
% 2.82/2.97 exists A one_sorted_str(A).
% 2.82/2.97 all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 2.82/2.97 all A B exists C relation_of2(C,A,B).
% 2.82/2.97 all A exists B element(B,A).
% 2.82/2.97 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> (exists C netstr_induced_subset(C,A,B))).
% 2.82/2.97 all A B exists C relation_of2_as_subset(C,A,B).
% 2.82/2.97 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (exists C subnet(C,A,B))).
% 2.82/2.97 empty(empty_set).
% 2.82/2.97 relation(empty_set).
% 2.82/2.97 relation_empty_yielding(empty_set).
% 2.82/2.97 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 2.82/2.97 all A B (finite(A)&finite(B)->finite(cartesian_product2(A,B))).
% 2.82/2.97 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> -empty(the_mapping(A,B))&relation(the_mapping(A,B))&function(the_mapping(A,B))&quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A))).
% 2.82/2.97 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.82/2.97 all A (-empty(powerset(A))).
% 2.82/2.97 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))-> -empty_carrier(netstr_restr_to_element(A,B,C))&strict_net_str(netstr_restr_to_element(A,B,C),A)).
% 2.82/2.97 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))-> -empty_carrier(netstr_restr_to_element(A,B,C))&transitive_relstr(netstr_restr_to_element(A,B,C))&strict_net_str(netstr_restr_to_element(A,B,C),A)&directed_relstr(netstr_restr_to_element(A,B,C))).
% 2.82/2.97 empty(empty_set).
% 2.82/2.97 relation(empty_set).
% 2.82/2.97 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.82/2.97 all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 2.82/2.97 all A B C D (one_sorted_str(A)& -empty(B)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> -empty_carrier(net_str_of(A,B,C,D))&strict_net_str(net_str_of(A,B,C,D),A)).
% 2.82/2.97 all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 2.82/2.97 all A B C D (one_sorted_str(A)&relation_of2(C,B,B)&function(D)&quasi_total(D,B,the_carrier(A))&relation_of2(D,B,the_carrier(A))-> (all E F G H (net_str_of(A,B,C,D)=net_str_of(E,F,G,H)->A=E&B=F&C=G&D=H))).
% 2.82/2.97 exists A (-empty(A)&finite(A)).
% 2.82/2.97 exists A (empty(A)&relation(A)).
% 2.82/2.97 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.82/2.97 all A B (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (exists C (subnet(C,A,B)& -empty_carrier(C)&transitive_relstr(C)&strict_net_str(C,A)&directed_relstr(C)))).
% 2.82/2.97 exists A (-empty(A)&relation(A)).
% 2.82/2.97 all A exists B (element(B,powerset(A))&empty(B)).
% 2.82/2.97 all A exists B (element(B,powerset(powerset(A)))& -empty(B)&finite(B)).
% 2.82/2.97 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.82/2.97 exists A (relation(A)&relation_empty_yielding(A)).
% 2.82/2.97 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.82/2.97 all A (one_sorted_str(A)-> (exists B (element(B,powerset(powerset(the_carrier(A))))& -empty(B)&finite(B)))).
% 2.82/2.97 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 2.82/2.97 all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 2.82/2.97 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.82/2.97 all A B (relation(A)->relation_restriction_as_relation_of(A,B)=relation_restriction(A,B)).
% 2.82/2.97 all A B C D (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&one_sorted_str(B)&function(C)&quasi_total(C,the_carrier(A),the_carrier(B))&relation_of2(C,the_carrier(A),the_carrier(B))&element(D,the_carrier(A))->apply_on_structs(A,B,C,D)=apply(C,D)).
% 2.82/2.97 all A B C D (function(C)&relation_of2(C,A,B)->partfun_dom_restriction(A,B,C,D)=relation_dom_restriction(C,D)).
% 2.82/2.97 all A B C (relation_of2(C,A,B)->relation_rng_as_subset(A,B,C)=relation_rng(C)).
% 2.82/2.97 all A B C (-empty_carrier(A)&one_sorted_str(A)& -empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)&element(C,the_carrier(B))->subnetstr_of_element(A,B,C)=netstr_restr_to_element(A,B,C)).
% 2.82/2.97 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.82/2.97 all A B subset(A,A).
% 2.82/2.97 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&directed_relstr(B)&net_str(B,A)-> (all C (element(C,the_carrier(B))-> (all D (element(D,the_carrier(B))-> (all E (element(E,the_carrier(netstr_restr_to_element(A,B,C)))-> (D=E->apply_netmap(A,B,D)=apply_netmap(A,netstr_restr_to_element(A,B,C),E))))))))))).
% 2.82/2.97 all A B (in(A,B)->element(A,B)).
% 2.82/2.97 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.82/2.97 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.82/2.97 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.82/2.97 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.82/2.97 all A (empty(A)->A=empty_set).
% 2.82/2.97 all A B C D (function(D)&quasi_total(D,A,B)&relation_of2_as_subset(D,A,B)-> (in(C,A)->B=empty_set|in(apply(D,C),relation_rng(D)))).
% 2.82/2.97 all A B (-(in(A,B)&empty(B))).
% 2.82/2.97 all A B (-(empty(A)&A!=B&empty(B))).
% 2.82/2.97 -(all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&transitive_relstr(B)&directed_relstr(B)&net_str(B,A)-> (all C (netstr_induced_subset(C,A,B)->is_eventually_in(A,B,C))))))).
% 2.82/2.97 end_of_list.
% 2.82/2.97
% 2.82/2.97 -------> usable clausifies to:
% 2.82/2.97
% 2.82/2.97 list(usable).
% 2.82/2.97 0 [] A=A.
% 2.82/2.97 0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|B=net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B)).
% 2.82/2.97 0 [] -in(A,B)| -in(B,A).
% 2.82/2.97 0 [] -empty(A)|finite(A).
% 2.82/2.97 0 [] -empty(A)|relation(A).
% 2.82/2.97 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.82/2.97 0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)|element($f1(A,B,C),the_carrier(B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)| -element(E,the_carrier(B))| -related(B,$f1(A,B,C),E)|in(apply_netmap(A,B,E),C).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|element($f2(A,B,C,D),the_carrier(B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f2(A,B,C,D)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))| -in(apply_netmap(A,B,$f2(A,B,C,D)),C).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|element($f3(A,B,C),the_carrier(B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|C=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,$f3(A,B,C))),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,$f3(A,B,C)))).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))|netstr_induced_subset(C,A,B)| -element(D,the_carrier(B))|C!=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,D)),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,D))).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|element($f4(A,B,C,D,E),the_carrier(B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|$f4(A,B,C,D,E)=E.
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|related(B,C,$f4(A,B,C,D,E)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|in(E,the_carrier(D))| -element(F,the_carrier(B))|F!=E| -related(B,C,F).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|the_InternalRel(D)=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|the_mapping(A,D)=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f6(A,B,C,D),the_carrier(D))|element($f5(A,B,C,D),the_carrier(B))|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f6(A,B,C,D),the_carrier(D))|$f5(A,B,C,D)=$f6(A,B,C,D)|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f6(A,B,C,D),the_carrier(D))|related(B,C,$f5(A,B,C,D))|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)| -in($f6(A,B,C,D),the_carrier(D))| -element(X1,the_carrier(B))|X1!=$f6(A,B,C,D)| -related(B,C,X1)|the_InternalRel(D)!=relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 2.82/2.97 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 2.82/2.97 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str(net_str_of(A,B,C,D),A).
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] -relation(A)|relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|element(apply_on_structs(A,B,C,D),the_carrier(B)).
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] -function(C)| -relation_of2(C,A,B)|function(partfun_dom_restriction(A,B,C,D)).
% 2.82/2.97 0 [] -function(C)| -relation_of2(C,A,B)|relation_of2_as_subset(partfun_dom_restriction(A,B,C,D),A,B).
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] -relation(A)|relation(relation_restriction(A,B)).
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|element(apply_netmap(A,B,C),the_carrier(A)).
% 2.82/2.97 0 [] -relation_of2(C,A,B)|element(relation_rng_as_subset(A,B,C),powerset(B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|net_str(netstr_restr_to_element(A,B,C),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(subnetstr_of_element(A,B,C),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnet(subnetstr_of_element(A,B,C),A,B).
% 2.82/2.97 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.82/2.97 0 [] -rel_str(A)|one_sorted_str(A).
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -netstr_induced_subset(C,A,B)|element(C,powerset(the_carrier(A))).
% 2.82/2.97 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)| -empty_carrier(C).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|transitive_relstr(C).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|directed_relstr(C).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|net_str(C,A).
% 2.82/2.97 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.82/2.97 0 [] $T.
% 2.82/2.97 0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.82/2.97 0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.82/2.97 0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.82/2.97 0 [] rel_str($c1).
% 2.82/2.97 0 [] one_sorted_str($c2).
% 2.82/2.97 0 [] -one_sorted_str(A)|net_str($f7(A),A).
% 2.82/2.97 0 [] relation_of2($f8(A,B),A,B).
% 2.82/2.97 0 [] element($f9(A),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|netstr_induced_subset($f10(A,B),A,B).
% 2.82/2.97 0 [] relation_of2_as_subset($f11(A,B),A,B).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f12(A,B),A,B).
% 2.82/2.97 0 [] empty(empty_set).
% 2.82/2.97 0 [] relation(empty_set).
% 2.82/2.97 0 [] relation_empty_yielding(empty_set).
% 2.82/2.97 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 2.82/2.97 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 2.82/2.97 0 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.82/2.97 0 [] -empty(powerset(A)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|transitive_relstr(netstr_restr_to_element(A,B,C)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|directed_relstr(netstr_restr_to_element(A,B,C)).
% 2.82/2.97 0 [] empty(empty_set).
% 2.82/2.97 0 [] relation(empty_set).
% 2.82/2.97 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.82/2.97 0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.82/2.97 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 2.82/2.97 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 2.82/2.97 0 [] -empty(A)|empty(relation_rng(A)).
% 2.82/2.97 0 [] -empty(A)|relation(relation_rng(A)).
% 2.82/2.97 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|A=E.
% 2.82/2.97 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|B=F.
% 2.82/2.97 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|C=G.
% 2.82/2.97 0 [] -one_sorted_str(A)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|net_str_of(A,B,C,D)!=net_str_of(E,F,G,H)|D=H.
% 2.82/2.97 0 [] -empty($c3).
% 2.82/2.97 0 [] finite($c3).
% 2.82/2.97 0 [] empty($c4).
% 2.82/2.97 0 [] relation($c4).
% 2.82/2.97 0 [] empty(A)|element($f13(A),powerset(A)).
% 2.82/2.97 0 [] empty(A)| -empty($f13(A)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f14(A,B),A,B).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f14(A,B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f14(A,B)).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f14(A,B),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f14(A,B)).
% 2.82/2.97 0 [] -empty($c5).
% 2.82/2.97 0 [] relation($c5).
% 2.82/2.97 0 [] element($f15(A),powerset(A)).
% 2.82/2.97 0 [] empty($f15(A)).
% 2.82/2.97 0 [] element($f16(A),powerset(powerset(A))).
% 2.82/2.97 0 [] -empty($f16(A)).
% 2.82/2.97 0 [] finite($f16(A)).
% 2.82/2.97 0 [] empty(A)|element($f17(A),powerset(A)).
% 2.82/2.97 0 [] empty(A)| -empty($f17(A)).
% 2.82/2.97 0 [] empty(A)|finite($f17(A)).
% 2.82/2.97 0 [] relation($c6).
% 2.82/2.97 0 [] relation_empty_yielding($c6).
% 2.82/2.97 0 [] one_sorted_str($c7).
% 2.82/2.97 0 [] -empty_carrier($c7).
% 2.82/2.97 0 [] -one_sorted_str(A)|element($f18(A),powerset(powerset(the_carrier(A)))).
% 2.82/2.97 0 [] -one_sorted_str(A)| -empty($f18(A)).
% 2.82/2.97 0 [] -one_sorted_str(A)|finite($f18(A)).
% 2.82/2.97 0 [] empty(A)|element($f19(A),powerset(A)).
% 2.82/2.97 0 [] empty(A)| -empty($f19(A)).
% 2.82/2.97 0 [] empty(A)|finite($f19(A)).
% 2.82/2.97 0 [] -one_sorted_str(A)|net_str($f20(A),A).
% 2.82/2.97 0 [] -one_sorted_str(A)|strict_net_str($f20(A),A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f21(A),powerset(the_carrier(A))).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f21(A)).
% 2.82/2.97 0 [] -relation(A)|relation_restriction_as_relation_of(A,B)=relation_restriction(A,B).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|apply_on_structs(A,B,C,D)=apply(C,D).
% 2.82/2.97 0 [] -function(C)| -relation_of2(C,A,B)|partfun_dom_restriction(A,B,C,D)=relation_dom_restriction(C,D).
% 2.82/2.97 0 [] -relation_of2(C,A,B)|relation_rng_as_subset(A,B,C)=relation_rng(C).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnetstr_of_element(A,B,C)=netstr_restr_to_element(A,B,C).
% 2.82/2.97 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.82/2.97 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.82/2.97 0 [] subset(A,A).
% 2.82/2.97 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -element(D,the_carrier(B))| -element(E,the_carrier(netstr_restr_to_element(A,B,C)))|D!=E|apply_netmap(A,B,D)=apply_netmap(A,netstr_restr_to_element(A,B,C),E).
% 2.82/2.97 0 [] -in(A,B)|element(A,B).
% 2.82/2.97 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.82/2.97 0 [] -element(A,powerset(B))|subset(A,B).
% 2.82/2.97 0 [] element(A,powerset(B))| -subset(A,B).
% 2.82/2.97 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.82/2.97 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.82/2.97 0 [] -empty(A)|A=empty_set.
% 2.82/2.97 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)| -in(C,A)|B=empty_set|in(apply(D,C),relation_rng(D)).
% 2.82/2.97 0 [] -in(A,B)| -empty(B).
% 2.82/2.97 0 [] -empty(A)|A=B| -empty(B).
% 2.82/2.97 0 [] -empty_carrier($c10).
% 2.82/2.97 0 [] one_sorted_str($c10).
% 2.82/2.97 0 [] -empty_carrier($c9).
% 2.82/2.97 0 [] transitive_relstr($c9).
% 2.82/2.97 0 [] directed_relstr($c9).
% 2.82/2.97 0 [] net_str($c9,$c10).
% 2.82/2.97 0 [] netstr_induced_subset($c8,$c10,$c9).
% 2.82/2.97 0 [] -is_eventually_in($c10,$c9,$c8).
% 2.82/2.97 end_of_list.
% 2.82/2.97
% 2.82/2.97 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=14.
% 2.82/2.97
% 2.82/2.97 This ia a non-Horn set with equality. The strategy will be
% 2.82/2.97 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.82/2.97 deletion, with positive clauses in sos and nonpositive
% 2.82/2.97 clauses in usable.
% 2.82/2.97
% 2.82/2.97 dependent: set(knuth_bendix).
% 2.82/2.97 dependent: set(anl_eq).
% 2.82/2.97 dependent: set(para_from).
% 2.82/2.97 dependent: set(para_into).
% 2.82/2.97 dependent: clear(para_from_right).
% 2.82/2.97 dependent: clear(para_into_right).
% 2.82/2.97 dependent: set(para_from_vars).
% 2.82/2.97 dependent: set(eq_units_both_ways).
% 2.82/2.97 dependent: set(dynamic_demod_all).
% 2.82/2.97 dependent: set(dynamic_demod).
% 2.82/2.97 dependent: set(order_eq).
% 2.82/2.97 dependent: set(back_demod).
% 2.82/2.97 dependent: set(lrpo).
% 2.82/2.97 dependent: set(hyper_res).
% 2.82/2.97 dependent: set(unit_deletion).
% 2.82/2.97 dependent: set(factor).
% 2.82/2.97
% 2.82/2.97 ------------> process usable:
% 2.82/2.97 ** KEPT (pick-wt=19): 2 [copy,1,flip.4] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(B,A)|net_str_of(A,the_carrier(B),the_InternalRel(B),the_mapping(A,B))=B.
% 2.82/2.97 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.82/2.97 ** KEPT (pick-wt=4): 4 [] -empty(A)|finite(A).
% 2.82/2.97 ** KEPT (pick-wt=4): 5 [] -empty(A)|relation(A).
% 2.82/2.97 ** KEPT (pick-wt=8): 6 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.82/2.97 ** KEPT (pick-wt=8): 7 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 2.82/2.97 ** KEPT (pick-wt=20): 8 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)|element($f1(A,B,C),the_carrier(B)).
% 2.82/2.97 ** KEPT (pick-wt=30): 9 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_eventually_in(A,B,C)| -element(D,the_carrier(B))| -related(B,$f1(A,B,C),D)|in(apply_netmap(A,B,D),C).
% 2.82/2.97 ** KEPT (pick-wt=25): 10 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|element($f2(A,B,C,D),the_carrier(B)).
% 2.82/2.97 ** KEPT (pick-wt=25): 11 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f2(A,B,C,D)).
% 2.82/2.97 ** KEPT (pick-wt=27): 12 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_eventually_in(A,B,C)| -element(D,the_carrier(B))| -in(apply_netmap(A,B,$f2(A,B,C,D)),C).
% 2.82/2.97 ** KEPT (pick-wt=25): 13 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|element($f3(A,B,C),the_carrier(B)).
% 2.82/2.97 ** KEPT (pick-wt=40): 15 [copy,14,flip.7] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))| -netstr_induced_subset(C,A,B)|relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,$f3(A,B,C))),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,$f3(A,B,C))))=C.
% 2.82/2.97 ** KEPT (pick-wt=38): 16 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,powerset(the_carrier(A)))|netstr_induced_subset(C,A,B)| -element(D,the_carrier(B))|C!=relation_rng_as_subset(the_carrier(netstr_restr_to_element(A,B,D)),the_carrier(A),the_mapping(A,netstr_restr_to_element(A,B,D))).
% 2.82/2.98 ** KEPT (pick-wt=38): 17 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|element($f4(A,B,C,D,E),the_carrier(B)).
% 2.82/2.98 ** KEPT (pick-wt=37): 18 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|$f4(A,B,C,D,E)=E.
% 2.82/2.98 ** KEPT (pick-wt=38): 19 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)| -in(E,the_carrier(D))|related(B,C,$f4(A,B,C,D,E)).
% 2.82/2.98 ** KEPT (pick-wt=40): 20 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|in(E,the_carrier(D))| -element(F,the_carrier(B))|F!=E| -related(B,C,F).
% 2.82/2.98 ** KEPT (pick-wt=33): 22 [copy,21,flip.9] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))=the_InternalRel(D).
% 2.82/2.98 ** KEPT (pick-wt=39): 23 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D!=netstr_restr_to_element(A,B,C)|the_mapping(A,D)=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.98 ** KEPT (pick-wt=63): 25 [copy,24,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f6(A,B,C,D),the_carrier(D))|element($f5(A,B,C,D),the_carrier(B))|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.98 ** KEPT (pick-wt=66): 27 [copy,26,flip.10,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f6(A,B,C,D),the_carrier(D))|$f6(A,B,C,D)=$f5(A,B,C,D)|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.98 ** KEPT (pick-wt=63): 29 [copy,28,flip.11] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)|in($f6(A,B,C,D),the_carrier(D))|related(B,C,$f5(A,B,C,D))|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.98 ** KEPT (pick-wt=70): 31 [copy,30,flip.13] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))| -strict_net_str(D,A)| -net_str(D,A)|D=netstr_restr_to_element(A,B,C)| -in($f6(A,B,C,D),the_carrier(D))| -element(E,the_carrier(B))|E!=$f6(A,B,C,D)| -related(B,C,E)|relation_restriction_as_relation_of(the_InternalRel(B),the_carrier(D))!=the_InternalRel(D)|the_mapping(A,D)!=partfun_dom_restriction(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(D)).
% 2.82/2.98 ** KEPT (pick-wt=25): 32 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|apply_netmap(A,B,C)=apply_on_structs(B,A,the_mapping(A,B),C).
% 2.82/2.98 ** KEPT (pick-wt=25): 33 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|strict_net_str(net_str_of(A,C,B,D),A).
% 2.82/2.98 ** KEPT (pick-wt=25): 34 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str(net_str_of(A,C,B,D),A).
% 2.82/2.98 ** KEPT (pick-wt=8): 35 [] -relation(A)|relation_of2_as_subset(relation_restriction_as_relation_of(A,B),B,B).
% 2.82/2.98 ** KEPT (pick-wt=34): 36 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|element(apply_on_structs(A,B,C,D),the_carrier(B)).
% 2.82/2.98 ** KEPT (pick-wt=12): 37 [] -function(A)| -relation_of2(A,B,C)|function(partfun_dom_restriction(B,C,A,D)).
% 2.82/2.98 ** KEPT (pick-wt=14): 38 [] -function(A)| -relation_of2(A,B,C)|relation_of2_as_subset(partfun_dom_restriction(B,C,A,D),B,C).
% 2.82/2.98 ** KEPT (pick-wt=6): 39 [] -relation(A)|relation(relation_restriction(A,B)).
% 2.82/2.98 ** KEPT (pick-wt=20): 40 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|element(apply_netmap(A,B,C),the_carrier(A)).
% 2.82/2.98 ** KEPT (pick-wt=11): 41 [] -relation_of2(A,B,C)|element(relation_rng_as_subset(B,C,A),powerset(C)).
% 2.82/2.98 ** KEPT (pick-wt=19): 42 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.82/2.98 ** KEPT (pick-wt=19): 43 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -element(C,the_carrier(B))|net_str(netstr_restr_to_element(A,B,C),A).
% 2.82/2.98 ** KEPT (pick-wt=23): 44 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(subnetstr_of_element(A,B,C),A).
% 2.82/2.98 ** KEPT (pick-wt=24): 45 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnet(subnetstr_of_element(A,B,C),A,B).
% 2.82/2.98 ** KEPT (pick-wt=6): 46 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.82/2.98 ** KEPT (pick-wt=4): 47 [] -rel_str(A)|one_sorted_str(A).
% 2.82/2.98 ** KEPT (pick-wt=7): 48 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.82/2.98 ** KEPT (pick-wt=18): 49 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -netstr_induced_subset(C,A,B)|element(C,powerset(the_carrier(A))).
% 2.82/2.98 ** KEPT (pick-wt=10): 50 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.82/2.98 ** KEPT (pick-wt=19): 51 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)| -empty_carrier(C).
% 2.82/2.98 ** KEPT (pick-wt=19): 52 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|transitive_relstr(C).
% 2.82/2.98 ** KEPT (pick-wt=19): 53 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|directed_relstr(C).
% 2.82/2.98 ** KEPT (pick-wt=20): 54 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -subnet(C,A,B)|net_str(C,A).
% 2.82/2.98 ** KEPT (pick-wt=9): 55 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.82/2.98 ** KEPT (pick-wt=9): 56 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.82/2.98 ** KEPT (pick-wt=13): 57 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.82/2.98 ** KEPT (pick-wt=13): 58 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.82/2.98 ** KEPT (pick-wt=6): 59 [] -one_sorted_str(A)|net_str($f7(A),A).
% 2.82/2.98 ** KEPT (pick-wt=15): 60 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|netstr_induced_subset($f10(A,B),A,B).
% 2.82/2.98 ** KEPT (pick-wt=19): 61 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f12(A,B),A,B).
% 2.82/2.98 Following clause subsumed by 46 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=8): 62 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=8): 63 [] -finite(A)| -finite(B)|finite(cartesian_product2(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=13): 64 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=13): 65 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.91/3.01 Following clause subsumed by 56 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.91/3.01 Following clause subsumed by 57 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.91/3.01 ** KEPT (pick-wt=7): 66 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.91/3.01 ** KEPT (pick-wt=3): 67 [] -empty(powerset(A)).
% 2.91/3.01 ** KEPT (pick-wt=20): 68 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.91/3.01 Following clause subsumed by 42 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.91/3.01 Following clause subsumed by 68 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -empty_carrier(netstr_restr_to_element(A,B,C)).
% 2.91/3.01 ** KEPT (pick-wt=22): 69 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|transitive_relstr(netstr_restr_to_element(A,B,C)).
% 2.91/3.01 Following clause subsumed by 42 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|strict_net_str(netstr_restr_to_element(A,B,C),A).
% 2.91/3.01 ** KEPT (pick-wt=22): 70 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|directed_relstr(netstr_restr_to_element(A,B,C)).
% 2.91/3.01 ** KEPT (pick-wt=8): 71 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=7): 72 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 2.91/3.01 ** KEPT (pick-wt=26): 73 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))| -empty_carrier(net_str_of(A,B,C,D)).
% 2.91/3.01 Following clause subsumed by 33 during input processing: 0 [] -one_sorted_str(A)|empty(B)| -relation_of2(C,B,B)| -function(D)| -quasi_total(D,B,the_carrier(A))| -relation_of2(D,B,the_carrier(A))|strict_net_str(net_str_of(A,B,C,D),A).
% 2.91/3.01 ** KEPT (pick-wt=5): 74 [] -empty(A)|empty(relation_rng(A)).
% 2.91/3.01 ** KEPT (pick-wt=5): 75 [] -empty(A)|relation(relation_rng(A)).
% 2.91/3.01 ** KEPT (pick-wt=32): 76 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|A=E.
% 2.91/3.01 ** KEPT (pick-wt=32): 77 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|C=F.
% 2.91/3.01 ** KEPT (pick-wt=32): 78 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|B=G.
% 2.91/3.01 ** KEPT (pick-wt=32): 79 [] -one_sorted_str(A)| -relation_of2(B,C,C)| -function(D)| -quasi_total(D,C,the_carrier(A))| -relation_of2(D,C,the_carrier(A))|net_str_of(A,C,B,D)!=net_str_of(E,F,G,H)|D=H.
% 2.91/3.01 ** KEPT (pick-wt=2): 80 [] -empty($c3).
% 2.91/3.01 ** KEPT (pick-wt=5): 81 [] empty(A)| -empty($f13(A)).
% 2.91/3.01 ** KEPT (pick-wt=19): 82 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f14(A,B),A,B).
% 2.91/3.01 ** KEPT (pick-wt=17): 83 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -empty_carrier($f14(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=17): 84 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|transitive_relstr($f14(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=18): 85 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|strict_net_str($f14(A,B),A).
% 2.91/3.01 ** KEPT (pick-wt=17): 86 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|directed_relstr($f14(A,B)).
% 2.91/3.01 ** KEPT (pick-wt=2): 87 [] -empty($c5).
% 2.91/3.01 ** KEPT (pick-wt=3): 88 [] -empty($f16(A)).
% 2.91/3.01 ** KEPT (pick-wt=5): 89 [] empty(A)| -empty($f17(A)).
% 2.91/3.01 ** KEPT (pick-wt=2): 90 [] -empty_carrier($c7).
% 2.91/3.01 ** KEPT (pick-wt=9): 91 [] -one_sorted_str(A)|element($f18(A),powerset(powerset(the_carrier(A)))).
% 2.91/3.01 ** KEPT (pick-wt=5): 92 [] -one_sorted_str(A)| -empty($f18(A)).
% 2.91/3.01 ** KEPT (pick-wt=5): 93 [] -one_sorted_str(A)|finite($f18(A)).
% 2.91/3.01 ** KEPT (pick-wt=5): 94 [] empty(A)| -empty($f19(A)).
% 2.91/3.01 ** KEPT (pick-wt=6): 95 [] -one_sorted_str(A)|net_str($f20(A),A).
% 2.91/3.01 ** KEPT (pick-wt=6): 96 [] -one_sorted_str(A)|strict_net_str($f20(A),A).
% 2.91/3.01 ** KEPT (pick-wt=10): 97 [] empty_carrier(A)| -one_sorted_str(A)|element($f21(A),powerset(the_carrier(A))).
% 2.91/3.01 ** KEPT (pick-wt=7): 98 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f21(A)).
% 2.91/3.01 ** KEPT (pick-wt=9): 99 [] -relation(A)|relation_restriction_as_relation_of(A,B)=relation_restriction(A,B).
% 2.91/3.01 ** KEPT (pick-wt=35): 100 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))| -element(D,the_carrier(A))|apply_on_structs(A,B,C,D)=apply(C,D).
% 2.91/3.01 ** KEPT (pick-wt=15): 101 [] -function(A)| -relation_of2(A,B,C)|partfun_dom_restriction(B,C,A,D)=relation_dom_restriction(A,D).
% 2.91/3.01 ** KEPT (pick-wt=11): 102 [] -relation_of2(A,B,C)|relation_rng_as_subset(B,C,A)=relation_rng(A).
% 2.91/3.01 ** KEPT (pick-wt=26): 103 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))|subnetstr_of_element(A,B,C)=netstr_restr_to_element(A,B,C).
% 2.91/3.01 ** KEPT (pick-wt=8): 104 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.91/3.01 ** KEPT (pick-wt=8): 105 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.91/3.01 ** KEPT (pick-wt=41): 106 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -directed_relstr(B)| -net_str(B,A)| -element(C,the_carrier(B))| -element(D,the_carrier(B))| -element(E,the_carrier(netstr_restr_to_element(A,B,C)))|D!=E|apply_netmap(A,B,D)=apply_netmap(A,netstr_restr_to_element(A,B,C),E).
% 2.91/3.01 ** KEPT (pick-wt=6): 107 [] -in(A,B)|element(A,B).
% 2.91/3.01 ** KEPT (pick-wt=8): 108 [] -element(A,B)|empty(B)|in(A,B).
% 2.91/3.01 ** KEPT (pick-wt=7): 109 [] -element(A,powerset(B))|subset(A,B).
% 2.91/3.01 ** KEPT (pick-wt=7): 110 [] element(A,powerset(B))| -subset(A,B).
% 2.91/3.01 ** KEPT (pick-wt=10): 111 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.91/3.01 ** KEPT (pick-wt=9): 112 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.91/3.01 ** KEPT (pick-wt=5): 113 [] -empty(A)|A=empty_set.
% 2.91/3.01 ** KEPT (pick-wt=22): 114 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)| -in(D,B)|C=empty_set|in(apply(A,D),relation_rng(A)).
% 2.91/3.01 ** KEPT (pick-wt=5): 115 [] -in(A,B)| -empty(B).
% 2.91/3.01 ** KEPT (pick-wt=7): 116 [] -empty(A)|A=B| -empty(B).
% 2.91/3.01 ** KEPT (pick-wt=2): 117 [] -empty_carrier($c10).
% 2.91/3.01 ** KEPT (pick-wt=2): 118 [] -empty_carrier($c9).
% 2.91/3.01 ** KEPT (pick-wt=4): 119 [] -is_eventually_in($c10,$c9,$c8).
% 2.91/3.01
% 2.91/3.01 ------------> process sos:
% 2.91/3.01 ** KEPT (pick-wt=3): 216 [] A=A.
% 2.91/3.01 ** KEPT (pick-wt=2): 217 [] rel_str($c1).
% 2.91/3.01 ** KEPT (pick-wt=2): 218 [] one_sorted_str($c2).
% 2.91/3.01 ** KEPT (pick-wt=6): 219 [] relation_of2($f8(A,B),A,B).
% 2.91/3.01 ** KEPT (pick-wt=4): 220 [] element($f9(A),A).
% 2.91/3.01 ** KEPT (pick-wt=6): 221 [] relation_of2_as_subset($f11(A,B),A,B).
% 2.91/3.01 ** KEPT (pick-wt=2): 222 [] empty(empty_set).
% 2.91/3.01 ** KEPT (pick-wt=2): 223 [] relation(empty_set).
% 5.61/5.74 ** KEPT (pick-wt=2): 224 [] relation_empty_yielding(empty_set).
% 5.61/5.74 Following clause subsumed by 222 during input processing: 0 [] empty(empty_set).
% 5.61/5.74 Following clause subsumed by 223 during input processing: 0 [] relation(empty_set).
% 5.61/5.74 ** KEPT (pick-wt=2): 225 [] finite($c3).
% 5.61/5.74 ** KEPT (pick-wt=2): 226 [] empty($c4).
% 5.61/5.74 ** KEPT (pick-wt=2): 227 [] relation($c4).
% 5.61/5.74 ** KEPT (pick-wt=7): 228 [] empty(A)|element($f13(A),powerset(A)).
% 5.61/5.74 ** KEPT (pick-wt=2): 229 [] relation($c5).
% 5.61/5.74 ** KEPT (pick-wt=5): 230 [] element($f15(A),powerset(A)).
% 5.61/5.74 ** KEPT (pick-wt=3): 231 [] empty($f15(A)).
% 5.61/5.74 ** KEPT (pick-wt=6): 232 [] element($f16(A),powerset(powerset(A))).
% 5.61/5.74 ** KEPT (pick-wt=3): 233 [] finite($f16(A)).
% 5.61/5.74 ** KEPT (pick-wt=7): 234 [] empty(A)|element($f17(A),powerset(A)).
% 5.61/5.74 ** KEPT (pick-wt=5): 235 [] empty(A)|finite($f17(A)).
% 5.61/5.74 ** KEPT (pick-wt=2): 236 [] relation($c6).
% 5.61/5.74 ** KEPT (pick-wt=2): 237 [] relation_empty_yielding($c6).
% 5.61/5.74 ** KEPT (pick-wt=2): 238 [] one_sorted_str($c7).
% 5.61/5.74 ** KEPT (pick-wt=7): 239 [] empty(A)|element($f19(A),powerset(A)).
% 5.61/5.74 ** KEPT (pick-wt=5): 240 [] empty(A)|finite($f19(A)).
% 5.61/5.74 ** KEPT (pick-wt=3): 241 [] subset(A,A).
% 5.61/5.74 ** KEPT (pick-wt=2): 242 [] one_sorted_str($c10).
% 5.61/5.74 ** KEPT (pick-wt=2): 243 [] transitive_relstr($c9).
% 5.61/5.74 ** KEPT (pick-wt=2): 244 [] directed_relstr($c9).
% 5.61/5.74 ** KEPT (pick-wt=3): 245 [] net_str($c9,$c10).
% 5.61/5.74 ** KEPT (pick-wt=4): 246 [] netstr_induced_subset($c8,$c10,$c9).
% 5.61/5.74 Following clause subsumed by 216 during input processing: 0 [copy,216,flip.1] A=A.
% 5.61/5.74 216 back subsumes 189.
% 5.61/5.74
% 5.61/5.74 ======= end of input processing =======
% 5.61/5.74
% 5.61/5.74 =========== start of search ===========
% 5.61/5.74
% 5.61/5.74
% 5.61/5.74 Resetting weight limit to 2.
% 5.61/5.74
% 5.61/5.74
% 5.61/5.74 Resetting weight limit to 2.
% 5.61/5.74
% 5.61/5.74 sos_size=124
% 5.61/5.74
% 5.61/5.74 Search stopped because sos empty.
% 5.61/5.74
% 5.61/5.74
% 5.61/5.74 Search stopped because sos empty.
% 5.61/5.74
% 5.61/5.74 ============ end of search ============
% 5.61/5.74
% 5.61/5.74 -------------- statistics -------------
% 5.61/5.74 clauses given 132
% 5.61/5.74 clauses generated 40238
% 5.61/5.74 clauses kept 340
% 5.61/5.74 clauses forward subsumed 110
% 5.61/5.74 clauses back subsumed 1
% 5.61/5.74 Kbytes malloced 4882
% 5.61/5.74
% 5.61/5.74 ----------- times (seconds) -----------
% 5.61/5.74 user CPU time 2.78 (0 hr, 0 min, 2 sec)
% 5.61/5.74 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 5.61/5.74 wall-clock time 6 (0 hr, 0 min, 6 sec)
% 5.61/5.74
% 5.61/5.74 Process 16897 finished Wed Jul 27 07:56:14 2022
% 5.61/5.74 Otter interrupted
% 5.61/5.74 PROOF NOT FOUND
%------------------------------------------------------------------------------