TSTP Solution File: SEU378+1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SEU378+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n028.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 13:15:58 EDT 2022
% Result : Unknown 2.78s 2.96s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU378+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : otter-tptp-script %s
% 0.13/0.33 % Computer : n028.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 08:00:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 2.54/2.73 ----- Otter 3.3f, August 2004 -----
% 2.54/2.73 The process was started by sandbox on n028.cluster.edu,
% 2.54/2.73 Wed Jul 27 08:00:04 2022
% 2.54/2.73 The command was "./otter". The process ID is 24791.
% 2.54/2.73
% 2.54/2.73 set(prolog_style_variables).
% 2.54/2.73 set(auto).
% 2.54/2.73 dependent: set(auto1).
% 2.54/2.73 dependent: set(process_input).
% 2.54/2.73 dependent: clear(print_kept).
% 2.54/2.73 dependent: clear(print_new_demod).
% 2.54/2.73 dependent: clear(print_back_demod).
% 2.54/2.73 dependent: clear(print_back_sub).
% 2.54/2.73 dependent: set(control_memory).
% 2.54/2.73 dependent: assign(max_mem, 12000).
% 2.54/2.73 dependent: assign(pick_given_ratio, 4).
% 2.54/2.73 dependent: assign(stats_level, 1).
% 2.54/2.73 dependent: assign(max_seconds, 10800).
% 2.54/2.73 clear(print_given).
% 2.54/2.73
% 2.54/2.73 formula_list(usable).
% 2.54/2.73 all A (A=A).
% 2.54/2.73 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)))).
% 2.54/2.73 all A B (in(A,B)-> -in(B,A)).
% 2.54/2.73 all A (empty(A)->function(A)).
% 2.54/2.73 all A (empty(A)->relation(A)).
% 2.54/2.73 all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 2.54/2.73 all A (rel_str(A)-> (empty_carrier(A)->v1_yellow_3(A))).
% 2.54/2.73 all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 2.54/2.73 all A (rel_str(A)-> (-v1_yellow_3(A)-> -empty_carrier(A))).
% 2.54/2.73 all A (transitive_relstr(A)&rel_str(A)-> (all B (subrelstr(B,A)-> (full_subrelstr(B,A)->transitive_relstr(B)&full_subrelstr(B,A))))).
% 2.54/2.73 all A (one_sorted_str(A)->identity_on_carrier(A)=identity_as_relation_of(the_carrier(A))).
% 2.54/2.73 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (-empty_carrier(B)&net_str(B,A)-> (all C (is_often_in(A,B,C)<-> (all D (element(D,the_carrier(B))-> (exists E (element(E,the_carrier(B))&related(B,D,E)&in(apply_netmap(A,B,E),C)))))))))).
% 2.54/2.73 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 (-empty_carrier(C)&transitive_relstr(C)&directed_relstr(C)&net_str(C,A)-> (subnet(C,A,B)<-> (exists D (function(D)&quasi_total(D,the_carrier(C),the_carrier(B))&relation_of2_as_subset(D,the_carrier(C),the_carrier(B))&the_mapping(A,C)=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))& (all E (element(E,the_carrier(B))-> (exists F (element(F,the_carrier(C))& (all G (element(G,the_carrier(C))-> (related(C,F,G)->related(B,E,apply_on_set_and_struct(the_carrier(C),B,D,G))))))))))))))))).
% 2.54/2.73 all A (one_sorted_str(A)-> (all B (net_str(B,A)-> (all C D (strict_net_str(D,A)&subnetstr(D,A,B)-> (D=preimage_subnetstr(A,B,C)<->full_subrelstr(D,B)&subrelstr(D,B)&the_carrier(D)=function_invverse_img_as_carrier_subset(B,A,the_mapping(A,B),C))))))).
% 2.54/2.73 all A (rel_str(A)-> (transitive_relstr(A)<-> (all B (element(B,the_carrier(A))-> (all C (element(C,the_carrier(A))-> (all D (element(D,the_carrier(A))-> (related(A,B,C)&related(A,C,D)->related(A,B,D)))))))))).
% 2.54/2.73 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)))))).
% 2.54/2.73 all A (one_sorted_str(A)-> (all B (net_str(B,A)-> (all C (net_str(C,A)-> (subnetstr(C,A,B)<->subrelstr(C,B)&the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)))))))).
% 2.54/2.73 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)).
% 2.54/2.73 $T.
% 2.54/2.73 $T.
% 2.54/2.73 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))).
% 2.54/2.73 $T.
% 2.54/2.73 $T.
% 2.54/2.73 $T.
% 2.54/2.73 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))).
% 2.54/2.73 all A B C D (-empty(A)& -empty_carrier(B)&rel_str(B)&function(C)&quasi_total(C,A,the_carrier(B))&relation_of2(C,A,the_carrier(B))&element(D,A)->element(apply_on_set_and_struct(A,B,C,D),the_carrier(B))).
% 2.54/2.73 all A B C D (one_sorted_str(A)&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(function_invverse_img_as_carrier_subset(A,B,C,D),powerset(the_carrier(A)))).
% 2.54/2.73 all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 2.54/2.73 all A (v1_partfun1(identity_as_relation_of(A),A,A)&relation_of2_as_subset(identity_as_relation_of(A),A,A)).
% 2.54/2.73 all A relation(identity_relation(A)).
% 2.54/2.73 all A B C (one_sorted_str(A)&net_str(B,A)->strict_net_str(preimage_subnetstr(A,B,C),A)&subnetstr(preimage_subnetstr(A,B,C),A,B)).
% 2.54/2.73 all A B C D E (-empty(B)&function(D)&quasi_total(D,A,B)&relation_of2(D,A,B)&function(E)&quasi_total(E,B,C)&relation_of2(E,B,C)->function(function_of_composition(A,B,C,D,E))&quasi_total(function_of_composition(A,B,C,D,E),A,C)&relation_of2_as_subset(function_of_composition(A,B,C,D,E),A,C)).
% 2.54/2.73 all A (one_sorted_str(A)->function(identity_on_carrier(A))&quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A))&relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A))).
% 2.54/2.73 all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 2.54/2.73 all A B C D (-empty(A)&function(C)&quasi_total(C,A,B)&relation_of2(C,A,B)&element(D,A)->element(apply_as_element(A,B,C,D),B)).
% 2.54/2.73 all A B C D (relation_of2(C,A,B)->relation_of2_as_subset(relation_dom_restr_as_relation_of(A,B,C,D),A,B)).
% 2.54/2.73 all A (rel_str(A)->one_sorted_str(A)).
% 2.54/2.73 $T.
% 2.54/2.73 all A (one_sorted_str(A)-> (all B (net_str(B,A)->rel_str(B)))).
% 2.54/2.73 $T.
% 2.54/2.73 $T.
% 2.54/2.73 all A (rel_str(A)-> (all B (subrelstr(B,A)->rel_str(B)))).
% 2.54/2.73 all A B (one_sorted_str(A)&net_str(B,A)-> (all C (subnetstr(C,A,B)->net_str(C,A)))).
% 2.54/2.73 all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 2.54/2.73 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)))).
% 2.54/2.73 all A (rel_str(A)->relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A))).
% 2.54/2.73 $T.
% 2.54/2.73 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))).
% 2.54/2.73 exists A rel_str(A).
% 2.54/2.73 exists A one_sorted_str(A).
% 2.54/2.73 all A (one_sorted_str(A)-> (exists B net_str(B,A))).
% 2.54/2.73 all A B exists C relation_of2(C,A,B).
% 2.54/2.73 all A exists B element(B,A).
% 2.54/2.73 all A (rel_str(A)-> (exists B subrelstr(B,A))).
% 2.54/2.73 all A B (one_sorted_str(A)&net_str(B,A)-> (exists C subnetstr(C,A,B))).
% 2.54/2.73 all A B exists C relation_of2_as_subset(C,A,B).
% 2.54/2.73 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))).
% 2.54/2.73 all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 2.54/2.73 empty(empty_set).
% 2.54/2.73 relation(empty_set).
% 2.54/2.73 relation_empty_yielding(empty_set).
% 2.54/2.73 all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 2.54/2.73 all A (-v1_yellow_3(A)&rel_str(A)-> -empty(the_InternalRel(A))&relation(the_InternalRel(A))).
% 2.54/2.73 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))).
% 2.54/2.73 all A B C (one_sorted_str(A)&transitive_relstr(B)&net_str(B,A)->transitive_relstr(preimage_subnetstr(A,B,C))&strict_net_str(preimage_subnetstr(A,B,C),A)&full_subnetstr(preimage_subnetstr(A,B,C),A,B)).
% 2.54/2.73 all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 2.54/2.73 all A (-empty_carrier(A)&one_sorted_str(A)-> -empty(the_carrier(A))).
% 2.54/2.73 all A (-empty(powerset(A))).
% 2.54/2.73 all A (relation(identity_relation(A))&function(identity_relation(A))).
% 2.54/2.73 all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 2.54/2.73 empty(empty_set).
% 2.54/2.73 relation(empty_set).
% 2.54/2.73 all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 2.54/2.73 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)).
% 2.54/2.74 all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 2.54/2.74 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))).
% 2.54/2.74 exists A (relation(A)&function(A)).
% 2.54/2.74 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 2.54/2.74 exists A (empty(A)&relation(A)).
% 2.54/2.74 all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 2.54/2.74 exists A (relation(A)&empty(A)&function(A)).
% 2.54/2.74 exists A (-empty(A)&relation(A)).
% 2.54/2.74 all A exists B (element(B,powerset(A))&empty(B)).
% 2.54/2.74 exists A (relation(A)&function(A)&one_to_one(A)).
% 2.54/2.74 exists A (relation(A)&relation_empty_yielding(A)).
% 2.54/2.74 exists A (one_sorted_str(A)& -empty_carrier(A)).
% 2.54/2.74 exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 2.54/2.74 all A (one_sorted_str(A)-> (exists B (net_str(B,A)&strict_net_str(B,A)))).
% 2.54/2.74 all A (-empty_carrier(A)&one_sorted_str(A)-> (exists B (element(B,powerset(the_carrier(A)))& -empty(B)))).
% 2.54/2.74 all A B (one_sorted_str(A)&net_str(B,A)-> (exists C (subnetstr(C,A,B)&strict_net_str(C,A)&full_subnetstr(C,A,B)))).
% 2.54/2.74 all A B (one_sorted_str(A)& -empty_carrier(B)&net_str(B,A)-> (exists C (subnetstr(C,A,B)& -empty_carrier(C)&strict_net_str(C,A)&full_subnetstr(C,A,B)))).
% 2.54/2.74 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)).
% 2.54/2.74 all A B C D (-empty(A)& -empty_carrier(B)&rel_str(B)&function(C)&quasi_total(C,A,the_carrier(B))&relation_of2(C,A,the_carrier(B))&element(D,A)->apply_on_set_and_struct(A,B,C,D)=apply(C,D)).
% 2.54/2.74 all A B C D (one_sorted_str(A)&one_sorted_str(B)&function(C)&quasi_total(C,the_carrier(A),the_carrier(B))&relation_of2(C,the_carrier(A),the_carrier(B))->function_invverse_img_as_carrier_subset(A,B,C,D)=relation_inverse_image(C,D)).
% 2.54/2.74 all A (identity_as_relation_of(A)=identity_relation(A)).
% 2.54/2.74 all A B C D E (-empty(B)&function(D)&quasi_total(D,A,B)&relation_of2(D,A,B)&function(E)&quasi_total(E,B,C)&relation_of2(E,B,C)->function_of_composition(A,B,C,D,E)=relation_composition(D,E)).
% 2.54/2.74 all A B C D (-empty(A)&function(C)&quasi_total(C,A,B)&relation_of2(C,A,B)&element(D,A)->apply_as_element(A,B,C,D)=apply(C,D)).
% 2.54/2.74 all A B C D (relation_of2(C,A,B)->relation_dom_restr_as_relation_of(A,B,C,D)=relation_dom_restriction(C,D)).
% 2.54/2.74 all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 2.54/2.74 all A B subset(A,A).
% 2.54/2.74 all A (one_sorted_str(A)-> (all B (net_str(B,A)-> (all C (subnetstr(C,A,B)->subset(the_carrier(C),the_carrier(B))))))).
% 2.54/2.74 all A B (in(A,B)->element(A,B)).
% 2.54/2.74 all A (one_sorted_str(A)-> (all B (net_str(B,A)-> (all C (subnetstr(C,A,B)-> (all D (element(D,the_carrier(B))-> (all E (element(E,the_carrier(B))-> (all F (element(F,the_carrier(C))-> (all G (element(G,the_carrier(C))-> (D=F&E=G&related(C,F,G)->related(B,D,E))))))))))))))).
% 2.54/2.74 all A B (element(A,B)->empty(B)|in(A,B)).
% 2.54/2.74 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 (is_often_in(A,B,C)-> -empty_carrier(preimage_subnetstr(A,B,C))&directed_relstr(preimage_subnetstr(A,B,C))))))).
% 2.54/2.74 -(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 (is_often_in(A,B,C)->subnet(preimage_subnetstr(A,B,C),A,B))))))).
% 2.54/2.74 all A B (element(A,powerset(B))<->subset(A,B)).
% 2.54/2.74 all A B C D (function(D)&quasi_total(D,A,B)&relation_of2_as_subset(D,A,B)-> (B!=empty_set-> (all E (in(E,relation_inverse_image(D,C))<->in(E,A)&in(apply(D,E),C))))).
% 2.54/2.74 all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 2.54/2.74 all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 2.54/2.74 all A (empty(A)->A=empty_set).
% 2.54/2.74 all A B (-(in(A,B)&empty(B))).
% 2.54/2.74 all A B (-(empty(A)&A!=B&empty(B))).
% 2.54/2.74 all A (-empty_carrier(A)&one_sorted_str(A)-> (all B (element(B,the_carrier(A))->apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B)=B))).
% 2.54/2.74 all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 2.54/2.74 all A B C D (function(D)&quasi_total(D,A,B)&relation_of2_as_subset(D,A,B)-> (subset(B,C)->B=empty_set&A!=empty_set|function(D)&quasi_total(D,A,C)&relation_of2_as_subset(D,A,C))).
% 2.54/2.74 end_of_list.
% 2.54/2.74
% 2.54/2.74 -------> usable clausifies to:
% 2.54/2.74
% 2.54/2.74 list(usable).
% 2.54/2.74 0 [] A=A.
% 2.54/2.74 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)).
% 2.54/2.74 0 [] -in(A,B)| -in(B,A).
% 2.54/2.74 0 [] -empty(A)|function(A).
% 2.54/2.74 0 [] -empty(A)|relation(A).
% 2.54/2.74 0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 2.54/2.74 0 [] -rel_str(A)| -empty_carrier(A)|v1_yellow_3(A).
% 2.54/2.74 0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.54/2.74 0 [] -rel_str(A)|v1_yellow_3(A)| -empty_carrier(A).
% 2.54/2.74 0 [] -transitive_relstr(A)| -rel_str(A)| -subrelstr(B,A)| -full_subrelstr(B,A)|transitive_relstr(B).
% 2.54/2.74 0 [] -one_sorted_str(A)|identity_on_carrier(A)=identity_as_relation_of(the_carrier(A)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|element($f1(A,B,C,D),the_carrier(B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f1(A,B,C,D)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|in(apply_netmap(A,B,$f1(A,B,C,D)),C).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)|element($f2(A,B,C),the_carrier(B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)| -element(E,the_carrier(B))| -related(B,$f2(A,B,C),E)| -in(apply_netmap(A,B,E),C).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|function($f4(A,B,C)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|quasi_total($f4(A,B,C),the_carrier(C),the_carrier(B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|relation_of2_as_subset($f4(A,B,C),the_carrier(C),the_carrier(B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|the_mapping(A,C)=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),$f4(A,B,C),the_mapping(A,B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)| -element(E,the_carrier(B))|element($f3(A,B,C,E),the_carrier(C)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)| -element(E,the_carrier(B))| -element(G,the_carrier(C))| -related(C,$f3(A,B,C,E),G)|related(B,E,apply_on_set_and_struct(the_carrier(C),B,$f4(A,B,C),G)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))|element($f6(A,B,C,D),the_carrier(B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))| -element(F,the_carrier(C))|element($f5(A,B,C,D,F),the_carrier(C)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))| -element(F,the_carrier(C))|related(C,F,$f5(A,B,C,D,F)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))| -element(F,the_carrier(C))| -related(B,$f6(A,B,C,D),apply_on_set_and_struct(the_carrier(C),B,D,$f5(A,B,C,D,F))).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(D,A)| -subnetstr(D,A,B)|D!=preimage_subnetstr(A,B,C)|full_subrelstr(D,B).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(D,A)| -subnetstr(D,A,B)|D!=preimage_subnetstr(A,B,C)|subrelstr(D,B).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(D,A)| -subnetstr(D,A,B)|D!=preimage_subnetstr(A,B,C)|the_carrier(D)=function_invverse_img_as_carrier_subset(B,A,the_mapping(A,B),C).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(D,A)| -subnetstr(D,A,B)|D=preimage_subnetstr(A,B,C)| -full_subrelstr(D,B)| -subrelstr(D,B)|the_carrier(D)!=function_invverse_img_as_carrier_subset(B,A,the_mapping(A,B),C).
% 2.54/2.74 0 [] -rel_str(A)| -transitive_relstr(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -related(A,B,C)| -related(A,C,D)|related(A,B,D).
% 2.54/2.74 0 [] -rel_str(A)|transitive_relstr(A)|element($f9(A),the_carrier(A)).
% 2.54/2.74 0 [] -rel_str(A)|transitive_relstr(A)|element($f8(A),the_carrier(A)).
% 2.54/2.74 0 [] -rel_str(A)|transitive_relstr(A)|element($f7(A),the_carrier(A)).
% 2.54/2.74 0 [] -rel_str(A)|transitive_relstr(A)|related(A,$f9(A),$f8(A)).
% 2.54/2.74 0 [] -rel_str(A)|transitive_relstr(A)|related(A,$f8(A),$f7(A)).
% 2.54/2.74 0 [] -rel_str(A)|transitive_relstr(A)| -related(A,$f9(A),$f7(A)).
% 2.54/2.74 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).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -net_str(C,A)| -subnetstr(C,A,B)|subrelstr(C,B).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -net_str(C,A)| -subnetstr(C,A,B)|the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -net_str(C,A)|subnetstr(C,A,B)| -subrelstr(C,B)|the_mapping(A,C)!=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)).
% 2.54/2.74 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).
% 2.54/2.74 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).
% 2.54/2.74 0 [] $T.
% 2.54/2.74 0 [] $T.
% 2.54/2.74 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)).
% 2.54/2.74 0 [] $T.
% 2.54/2.74 0 [] $T.
% 2.54/2.74 0 [] $T.
% 2.54/2.74 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)).
% 2.54/2.74 0 [] empty(A)|empty_carrier(B)| -rel_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|element(apply_on_set_and_struct(A,B,C,D),the_carrier(B)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -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(function_invverse_img_as_carrier_subset(A,B,C,D),powerset(the_carrier(A))).
% 2.54/2.74 0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.54/2.74 0 [] v1_partfun1(identity_as_relation_of(A),A,A).
% 2.54/2.74 0 [] relation_of2_as_subset(identity_as_relation_of(A),A,A).
% 2.54/2.74 0 [] relation(identity_relation(A)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr(preimage_subnetstr(A,B,C),A,B).
% 2.54/2.74 0 [] empty(B)| -function(D)| -quasi_total(D,A,B)| -relation_of2(D,A,B)| -function(E)| -quasi_total(E,B,C)| -relation_of2(E,B,C)|function(function_of_composition(A,B,C,D,E)).
% 2.54/2.74 0 [] empty(B)| -function(D)| -quasi_total(D,A,B)| -relation_of2(D,A,B)| -function(E)| -quasi_total(E,B,C)| -relation_of2(E,B,C)|quasi_total(function_of_composition(A,B,C,D,E),A,C).
% 2.54/2.74 0 [] empty(B)| -function(D)| -quasi_total(D,A,B)| -relation_of2(D,A,B)| -function(E)| -quasi_total(E,B,C)| -relation_of2(E,B,C)|relation_of2_as_subset(function_of_composition(A,B,C,D,E),A,C).
% 2.54/2.74 0 [] -one_sorted_str(A)|function(identity_on_carrier(A)).
% 2.54/2.74 0 [] -one_sorted_str(A)|quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)).
% 2.54/2.74 0 [] -one_sorted_str(A)|relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)).
% 2.54/2.74 0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.54/2.74 0 [] empty(A)| -function(C)| -quasi_total(C,A,B)| -relation_of2(C,A,B)| -element(D,A)|element(apply_as_element(A,B,C,D),B).
% 2.54/2.74 0 [] -relation_of2(C,A,B)|relation_of2_as_subset(relation_dom_restr_as_relation_of(A,B,C,D),A,B).
% 2.54/2.74 0 [] -rel_str(A)|one_sorted_str(A).
% 2.54/2.74 0 [] $T.
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.54/2.74 0 [] $T.
% 2.54/2.74 0 [] $T.
% 2.54/2.74 0 [] -rel_str(A)| -subrelstr(B,A)|rel_str(B).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)|net_str(C,A).
% 2.54/2.74 0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 2.54/2.74 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).
% 2.54/2.74 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).
% 2.54/2.74 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).
% 2.54/2.74 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).
% 2.54/2.74 0 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.54/2.74 0 [] $T.
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.54/2.74 0 [] rel_str($c1).
% 2.54/2.74 0 [] one_sorted_str($c2).
% 2.54/2.74 0 [] -one_sorted_str(A)|net_str($f10(A),A).
% 2.54/2.74 0 [] relation_of2($f11(A,B),A,B).
% 2.54/2.74 0 [] element($f12(A),A).
% 2.54/2.74 0 [] -rel_str(A)|subrelstr($f13(A),A).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f14(A,B),A,B).
% 2.54/2.74 0 [] relation_of2_as_subset($f15(A,B),A,B).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f16(A,B),A,B).
% 2.54/2.74 0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 2.54/2.74 0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 2.54/2.74 0 [] empty(empty_set).
% 2.54/2.74 0 [] relation(empty_set).
% 2.54/2.74 0 [] relation_empty_yielding(empty_set).
% 2.54/2.74 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 2.54/2.74 0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 2.54/2.74 0 [] v1_yellow_3(A)| -rel_str(A)| -empty(the_InternalRel(A)).
% 2.54/2.74 0 [] v1_yellow_3(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.54/2.74 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)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|transitive_relstr(preimage_subnetstr(A,B,C)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 2.54/2.74 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|full_subnetstr(preimage_subnetstr(A,B,C),A,B).
% 2.54/2.74 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 2.54/2.74 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.54/2.74 0 [] -empty(powerset(A)).
% 2.54/2.74 0 [] relation(identity_relation(A)).
% 2.54/2.74 0 [] function(identity_relation(A)).
% 2.54/2.74 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 2.54/2.74 0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 2.54/2.74 0 [] empty(empty_set).
% 2.54/2.74 0 [] relation(empty_set).
% 2.54/2.74 0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.54/2.74 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)).
% 2.54/2.74 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).
% 2.54/2.74 0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 2.54/2.74 0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.54/2.74 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.
% 2.54/2.74 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.
% 2.54/2.74 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.
% 2.54/2.74 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.
% 2.54/2.74 0 [] relation($c3).
% 2.54/2.74 0 [] function($c3).
% 2.54/2.74 0 [] relation($c4).
% 2.54/2.74 0 [] relation_empty_yielding($c4).
% 2.54/2.74 0 [] function($c4).
% 2.54/2.74 0 [] empty($c5).
% 2.54/2.74 0 [] relation($c5).
% 2.54/2.74 0 [] empty(A)|element($f17(A),powerset(A)).
% 2.54/2.74 0 [] empty(A)| -empty($f17(A)).
% 2.54/2.74 0 [] relation($c6).
% 2.54/2.74 0 [] empty($c6).
% 2.54/2.74 0 [] function($c6).
% 2.54/2.74 0 [] -empty($c7).
% 2.54/2.74 0 [] relation($c7).
% 2.54/2.74 0 [] element($f18(A),powerset(A)).
% 2.54/2.74 0 [] empty($f18(A)).
% 2.54/2.74 0 [] relation($c8).
% 2.54/2.74 0 [] function($c8).
% 2.54/2.74 0 [] one_to_one($c8).
% 2.54/2.74 0 [] relation($c9).
% 2.54/2.74 0 [] relation_empty_yielding($c9).
% 2.54/2.74 0 [] one_sorted_str($c10).
% 2.54/2.74 0 [] -empty_carrier($c10).
% 2.54/2.74 0 [] relation($c11).
% 2.54/2.74 0 [] relation_empty_yielding($c11).
% 2.54/2.74 0 [] function($c11).
% 2.54/2.74 0 [] -one_sorted_str(A)|net_str($f19(A),A).
% 2.54/2.74 0 [] -one_sorted_str(A)|strict_net_str($f19(A),A).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|element($f20(A),powerset(the_carrier(A))).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f20(A)).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f21(A,B),A,B).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str($f21(A,B),A).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)|full_subnetstr($f21(A,B),A,B).
% 2.54/2.74 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|subnetstr($f22(A,B),A,B).
% 2.54/2.74 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty_carrier($f22(A,B)).
% 2.54/2.74 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|strict_net_str($f22(A,B),A).
% 2.54/2.74 0 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|full_subnetstr($f22(A,B),A,B).
% 2.54/2.74 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).
% 2.54/2.74 0 [] empty(A)|empty_carrier(B)| -rel_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|apply_on_set_and_struct(A,B,C,D)=apply(C,D).
% 2.54/2.74 0 [] -one_sorted_str(A)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))|function_invverse_img_as_carrier_subset(A,B,C,D)=relation_inverse_image(C,D).
% 2.54/2.74 0 [] identity_as_relation_of(A)=identity_relation(A).
% 2.54/2.74 0 [] empty(B)| -function(D)| -quasi_total(D,A,B)| -relation_of2(D,A,B)| -function(E)| -quasi_total(E,B,C)| -relation_of2(E,B,C)|function_of_composition(A,B,C,D,E)=relation_composition(D,E).
% 2.54/2.74 0 [] empty(A)| -function(C)| -quasi_total(C,A,B)| -relation_of2(C,A,B)| -element(D,A)|apply_as_element(A,B,C,D)=apply(C,D).
% 2.54/2.74 0 [] -relation_of2(C,A,B)|relation_dom_restr_as_relation_of(A,B,C,D)=relation_dom_restriction(C,D).
% 2.54/2.74 0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 2.54/2.74 0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 2.54/2.74 0 [] subset(A,A).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)|subset(the_carrier(C),the_carrier(B)).
% 2.54/2.74 0 [] -in(A,B)|element(A,B).
% 2.54/2.74 0 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)| -element(D,the_carrier(B))| -element(E,the_carrier(B))| -element(F,the_carrier(C))| -element(G,the_carrier(C))|D!=F|E!=G| -related(C,F,G)|related(B,D,E).
% 2.54/2.74 0 [] -element(A,B)|empty(B)|in(A,B).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -is_often_in(A,B,C)| -empty_carrier(preimage_subnetstr(A,B,C)).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -is_often_in(A,B,C)|directed_relstr(preimage_subnetstr(A,B,C)).
% 2.54/2.74 0 [] -empty_carrier($c14).
% 2.54/2.74 0 [] one_sorted_str($c14).
% 2.54/2.74 0 [] -empty_carrier($c13).
% 2.54/2.74 0 [] transitive_relstr($c13).
% 2.54/2.74 0 [] directed_relstr($c13).
% 2.54/2.74 0 [] net_str($c13,$c14).
% 2.54/2.74 0 [] is_often_in($c14,$c13,$c12).
% 2.54/2.74 0 [] -subnet(preimage_subnetstr($c14,$c13,$c12),$c14,$c13).
% 2.54/2.74 0 [] -element(A,powerset(B))|subset(A,B).
% 2.54/2.74 0 [] element(A,powerset(B))| -subset(A,B).
% 2.54/2.74 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)|B=empty_set| -in(E,relation_inverse_image(D,C))|in(E,A).
% 2.54/2.74 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)|B=empty_set| -in(E,relation_inverse_image(D,C))|in(apply(D,E),C).
% 2.54/2.74 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)|B=empty_set|in(E,relation_inverse_image(D,C))| -in(E,A)| -in(apply(D,E),C).
% 2.54/2.74 0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.54/2.74 0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.54/2.74 0 [] -empty(A)|A=empty_set.
% 2.54/2.74 0 [] -in(A,B)| -empty(B).
% 2.54/2.74 0 [] -empty(A)|A=B| -empty(B).
% 2.54/2.74 0 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))|apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B)=B.
% 2.54/2.74 0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 2.54/2.74 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)| -subset(B,C)|B=empty_set|quasi_total(D,A,C).
% 2.54/2.74 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)| -subset(B,C)|B=empty_set|relation_of2_as_subset(D,A,C).
% 2.54/2.74 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)| -subset(B,C)|A!=empty_set|quasi_total(D,A,C).
% 2.54/2.74 0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)| -subset(B,C)|A!=empty_set|relation_of2_as_subset(D,A,C).
% 2.54/2.74 end_of_list.
% 2.54/2.74
% 2.54/2.74 SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=17.
% 2.54/2.74
% 2.54/2.74 This ia a non-Horn set with equality. The strategy will be
% 2.54/2.74 Knuth-Bendix, ordered hyper_res, factoring, and unit
% 2.54/2.74 deletion, with positive clauses in sos and nonpositive
% 2.54/2.74 clauses in usable.
% 2.54/2.74
% 2.54/2.74 dependent: set(knuth_bendix).
% 2.54/2.74 dependent: set(anl_eq).
% 2.54/2.74 dependent: set(para_from).
% 2.54/2.74 dependent: set(para_into).
% 2.54/2.74 dependent: clear(para_from_right).
% 2.54/2.74 dependent: clear(para_into_right).
% 2.54/2.74 dependent: set(para_from_vars).
% 2.54/2.74 dependent: set(eq_units_both_ways).
% 2.54/2.74 dependent: set(dynamic_demod_all).
% 2.54/2.74 dependent: set(dynamic_demod).
% 2.54/2.74 dependent: set(order_eq).
% 2.54/2.74 dependent: set(back_demod).
% 2.54/2.74 dependent: set(lrpo).
% 2.54/2.74 dependent: set(hyper_res).
% 2.54/2.74 dependent: set(unit_deletion).
% 2.54/2.74 dependent: set(factor).
% 2.54/2.74
% 2.54/2.74 ------------> process usable:
% 2.54/2.74 ** 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.
% 2.54/2.74 ** KEPT (pick-wt=6): 3 [] -in(A,B)| -in(B,A).
% 2.54/2.74 ** KEPT (pick-wt=4): 4 [] -empty(A)|function(A).
% 2.54/2.74 ** KEPT (pick-wt=4): 5 [] -empty(A)|relation(A).
% 2.54/2.74 ** KEPT (pick-wt=8): 6 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 2.54/2.74 ** KEPT (pick-wt=6): 7 [] -rel_str(A)| -empty_carrier(A)|v1_yellow_3(A).
% 2.54/2.74 ** KEPT (pick-wt=8): 8 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 2.54/2.74 Following clause subsumed by 7 during input processing: 0 [] -rel_str(A)|v1_yellow_3(A)| -empty_carrier(A).
% 2.54/2.74 ** KEPT (pick-wt=12): 9 [] -transitive_relstr(A)| -rel_str(A)| -subrelstr(B,A)| -full_subrelstr(B,A)|transitive_relstr(B).
% 2.54/2.74 ** KEPT (pick-wt=8): 11 [copy,10,flip.2] -one_sorted_str(A)|identity_as_relation_of(the_carrier(A))=identity_on_carrier(A).
% 2.54/2.74 ** KEPT (pick-wt=25): 12 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|element($f1(A,B,C,D),the_carrier(B)).
% 2.54/2.74 ** KEPT (pick-wt=25): 13 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|related(B,D,$f1(A,B,C,D)).
% 2.54/2.74 ** KEPT (pick-wt=27): 14 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -is_often_in(A,B,C)| -element(D,the_carrier(B))|in(apply_netmap(A,B,$f1(A,B,C,D)),C).
% 2.54/2.74 ** KEPT (pick-wt=20): 15 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)|element($f2(A,B,C),the_carrier(B)).
% 2.54/2.74 ** KEPT (pick-wt=30): 16 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|is_often_in(A,B,C)| -element(D,the_carrier(B))| -related(B,$f2(A,B,C),D)| -in(apply_netmap(A,B,D),C).
% 2.54/2.74 ** KEPT (pick-wt=31): 17 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|function($f4(A,B,C)).
% 2.54/2.74 ** KEPT (pick-wt=35): 18 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|quasi_total($f4(A,B,C),the_carrier(C),the_carrier(B)).
% 2.54/2.74 ** KEPT (pick-wt=35): 19 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|relation_of2_as_subset($f4(A,B,C),the_carrier(C),the_carrier(B)).
% 2.54/2.74 ** KEPT (pick-wt=44): 20 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)|the_mapping(A,C)=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),$f4(A,B,C),the_mapping(A,B)).
% 2.54/2.74 ** KEPT (pick-wt=38): 21 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)| -element(D,the_carrier(B))|element($f3(A,B,C,D),the_carrier(C)).
% 2.54/2.74 ** KEPT (pick-wt=54): 22 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)| -subnet(C,A,B)| -element(D,the_carrier(B))| -element(E,the_carrier(C))| -related(C,$f3(A,B,C,D),E)|related(B,D,apply_on_set_and_struct(the_carrier(C),B,$f4(A,B,C),E)).
% 2.54/2.75 ** KEPT (pick-wt=63): 23 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))|element($f6(A,B,C,D),the_carrier(B)).
% 2.54/2.75 ** KEPT (pick-wt=68): 24 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))| -element(E,the_carrier(C))|element($f5(A,B,C,D,E),the_carrier(C)).
% 2.54/2.75 ** KEPT (pick-wt=68): 25 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))| -element(E,the_carrier(C))|related(C,E,$f5(A,B,C,D,E)).
% 2.54/2.75 ** KEPT (pick-wt=77): 26 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|empty_carrier(C)| -transitive_relstr(C)| -directed_relstr(C)| -net_str(C,A)|subnet(C,A,B)| -function(D)| -quasi_total(D,the_carrier(C),the_carrier(B))| -relation_of2_as_subset(D,the_carrier(C),the_carrier(B))|the_mapping(A,C)!=function_of_composition(the_carrier(C),the_carrier(B),the_carrier(A),D,the_mapping(A,B))| -element(E,the_carrier(C))| -related(B,$f6(A,B,C,D),apply_on_set_and_struct(the_carrier(C),B,D,$f5(A,B,C,D,E))).
% 2.54/2.75 ** KEPT (pick-wt=21): 27 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(C,A)| -subnetstr(C,A,B)|C!=preimage_subnetstr(A,B,D)|full_subrelstr(C,B).
% 2.54/2.75 ** KEPT (pick-wt=21): 28 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(C,A)| -subnetstr(C,A,B)|C!=preimage_subnetstr(A,B,D)|subrelstr(C,B).
% 2.54/2.75 ** KEPT (pick-wt=28): 29 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(C,A)| -subnetstr(C,A,B)|C!=preimage_subnetstr(A,B,D)|the_carrier(C)=function_invverse_img_as_carrier_subset(B,A,the_mapping(A,B),D).
% 2.54/2.75 ** KEPT (pick-wt=34): 30 [] -one_sorted_str(A)| -net_str(B,A)| -strict_net_str(C,A)| -subnetstr(C,A,B)|C=preimage_subnetstr(A,B,D)| -full_subrelstr(C,B)| -subrelstr(C,B)|the_carrier(C)!=function_invverse_img_as_carrier_subset(B,A,the_mapping(A,B),D).
% 2.54/2.75 ** KEPT (pick-wt=28): 31 [] -rel_str(A)| -transitive_relstr(A)| -element(B,the_carrier(A))| -element(C,the_carrier(A))| -element(D,the_carrier(A))| -related(A,B,C)| -related(A,C,D)|related(A,B,D).
% 2.54/2.75 ** KEPT (pick-wt=9): 32 [] -rel_str(A)|transitive_relstr(A)|element($f9(A),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=9): 33 [] -rel_str(A)|transitive_relstr(A)|element($f8(A),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=9): 34 [] -rel_str(A)|transitive_relstr(A)|element($f7(A),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=10): 35 [] -rel_str(A)|transitive_relstr(A)|related(A,$f9(A),$f8(A)).
% 2.54/2.75 ** KEPT (pick-wt=10): 36 [] -rel_str(A)|transitive_relstr(A)|related(A,$f8(A),$f7(A)).
% 2.54/2.75 ** KEPT (pick-wt=10): 37 [] -rel_str(A)|transitive_relstr(A)| -related(A,$f9(A),$f7(A)).
% 2.54/2.75 ** KEPT (pick-wt=25): 38 [] 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).
% 2.54/2.75 ** KEPT (pick-wt=15): 39 [] -one_sorted_str(A)| -net_str(B,A)| -net_str(C,A)| -subnetstr(C,A,B)|subrelstr(C,B).
% 2.54/2.75 ** KEPT (pick-wt=26): 40 [] -one_sorted_str(A)| -net_str(B,A)| -net_str(C,A)| -subnetstr(C,A,B)|the_mapping(A,C)=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)).
% 2.54/2.75 ** KEPT (pick-wt=29): 41 [] -one_sorted_str(A)| -net_str(B,A)| -net_str(C,A)|subnetstr(C,A,B)| -subrelstr(C,B)|the_mapping(A,C)!=relation_dom_restr_as_relation_of(the_carrier(B),the_carrier(A),the_mapping(A,B),the_carrier(C)).
% 2.54/2.75 ** KEPT (pick-wt=25): 42 [] -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).
% 2.54/2.75 ** KEPT (pick-wt=25): 43 [] -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).
% 2.54/2.75 ** KEPT (pick-wt=34): 44 [] 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)).
% 2.54/2.75 ** KEPT (pick-wt=20): 45 [] 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)).
% 2.54/2.75 ** KEPT (pick-wt=29): 46 [] empty(A)|empty_carrier(B)| -rel_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|element(apply_on_set_and_struct(A,B,C,D),the_carrier(B)).
% 2.54/2.75 ** KEPT (pick-wt=27): 47 [] -one_sorted_str(A)| -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(function_invverse_img_as_carrier_subset(A,B,C,D),powerset(the_carrier(A))).
% 2.54/2.75 ** KEPT (pick-wt=8): 48 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=11): 49 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 2.54/2.75 ** KEPT (pick-wt=12): 50 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr(preimage_subnetstr(A,B,C),A,B).
% 2.54/2.75 ** KEPT (pick-wt=29): 51 [] empty(A)| -function(B)| -quasi_total(B,C,A)| -relation_of2(B,C,A)| -function(D)| -quasi_total(D,A,E)| -relation_of2(D,A,E)|function(function_of_composition(C,A,E,B,D)).
% 2.54/2.75 ** KEPT (pick-wt=31): 52 [] empty(A)| -function(B)| -quasi_total(B,C,A)| -relation_of2(B,C,A)| -function(D)| -quasi_total(D,A,E)| -relation_of2(D,A,E)|quasi_total(function_of_composition(C,A,E,B,D),C,E).
% 2.54/2.75 ** KEPT (pick-wt=31): 53 [] empty(A)| -function(B)| -quasi_total(B,C,A)| -relation_of2(B,C,A)| -function(D)| -quasi_total(D,A,E)| -relation_of2(D,A,E)|relation_of2_as_subset(function_of_composition(C,A,E,B,D),C,E).
% 2.54/2.75 ** KEPT (pick-wt=5): 54 [] -one_sorted_str(A)|function(identity_on_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=9): 55 [] -one_sorted_str(A)|quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=9): 56 [] -one_sorted_str(A)|relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=6): 57 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=22): 58 [] empty(A)| -function(B)| -quasi_total(B,A,C)| -relation_of2(B,A,C)| -element(D,A)|element(apply_as_element(A,C,B,D),C).
% 2.54/2.75 ** KEPT (pick-wt=12): 59 [] -relation_of2(A,B,C)|relation_of2_as_subset(relation_dom_restr_as_relation_of(B,C,A,D),B,C).
% 2.54/2.75 ** KEPT (pick-wt=4): 60 [] -rel_str(A)|one_sorted_str(A).
% 2.54/2.75 ** KEPT (pick-wt=7): 61 [] -one_sorted_str(A)| -net_str(B,A)|rel_str(B).
% 2.54/2.75 ** KEPT (pick-wt=7): 62 [] -rel_str(A)| -subrelstr(B,A)|rel_str(B).
% 2.54/2.75 ** KEPT (pick-wt=12): 63 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)|net_str(C,A).
% 2.54/2.75 ** KEPT (pick-wt=10): 64 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 2.54/2.75 ** KEPT (pick-wt=19): 65 [] 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).
% 2.54/2.75 ** KEPT (pick-wt=19): 66 [] 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).
% 2.54/2.75 ** KEPT (pick-wt=19): 67 [] 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).
% 2.54/2.75 ** KEPT (pick-wt=20): 68 [] 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).
% 2.54/2.75 ** KEPT (pick-wt=9): 69 [] -rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=9): 70 [] -one_sorted_str(A)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=13): 71 [] -one_sorted_str(A)| -net_str(B,A)|quasi_total(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=13): 72 [] -one_sorted_str(A)| -net_str(B,A)|relation_of2_as_subset(the_mapping(A,B),the_carrier(B),the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=6): 73 [] -one_sorted_str(A)|net_str($f10(A),A).
% 2.54/2.75 ** KEPT (pick-wt=6): 74 [] -rel_str(A)|subrelstr($f13(A),A).
% 2.54/2.75 ** KEPT (pick-wt=11): 75 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f14(A,B),A,B).
% 2.54/2.75 ** KEPT (pick-wt=19): 76 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)|subnet($f16(A,B),A,B).
% 2.54/2.75 ** KEPT (pick-wt=8): 77 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 2.54/2.75 ** KEPT (pick-wt=8): 78 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 2.54/2.75 Following clause subsumed by 57 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=8): 79 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=7): 80 [] v1_yellow_3(A)| -rel_str(A)| -empty(the_InternalRel(A)).
% 2.54/2.75 ** KEPT (pick-wt=7): 81 [] v1_yellow_3(A)| -rel_str(A)|relation(the_InternalRel(A)).
% 2.54/2.75 ** KEPT (pick-wt=13): 82 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty(the_mapping(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=13): 83 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|relation(the_mapping(A,B)).
% 2.54/2.75 Following clause subsumed by 70 during input processing: 0 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|function(the_mapping(A,B)).
% 2.54/2.75 Following clause subsumed by 71 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)).
% 2.54/2.75 ** KEPT (pick-wt=12): 84 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|transitive_relstr(preimage_subnetstr(A,B,C)).
% 2.54/2.75 Following clause subsumed by 49 during input processing: 0 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|strict_net_str(preimage_subnetstr(A,B,C),A).
% 2.54/2.75 ** KEPT (pick-wt=14): 85 [] -one_sorted_str(A)| -transitive_relstr(B)| -net_str(B,A)|full_subnetstr(preimage_subnetstr(A,B,C),A,B).
% 2.54/2.75 Following clause subsumed by 48 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=12): 86 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=7): 87 [] empty_carrier(A)| -one_sorted_str(A)| -empty(the_carrier(A)).
% 2.54/2.75 ** KEPT (pick-wt=3): 88 [] -empty(powerset(A)).
% 2.54/2.75 Following clause subsumed by 57 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=8): 89 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=8): 90 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=26): 91 [] -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)).
% 2.54/2.75 Following clause subsumed by 42 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).
% 2.54/2.75 ** KEPT (pick-wt=8): 92 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=8): 93 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 2.54/2.75 ** KEPT (pick-wt=32): 94 [] -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.
% 2.65/2.80 ** KEPT (pick-wt=32): 95 [] -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.
% 2.65/2.80 ** KEPT (pick-wt=32): 96 [] -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.
% 2.65/2.80 ** KEPT (pick-wt=32): 97 [] -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.
% 2.65/2.80 ** KEPT (pick-wt=5): 98 [] empty(A)| -empty($f17(A)).
% 2.65/2.80 ** KEPT (pick-wt=2): 99 [] -empty($c7).
% 2.65/2.80 ** KEPT (pick-wt=2): 100 [] -empty_carrier($c10).
% 2.65/2.80 ** KEPT (pick-wt=6): 101 [] -one_sorted_str(A)|net_str($f19(A),A).
% 2.65/2.80 ** KEPT (pick-wt=6): 102 [] -one_sorted_str(A)|strict_net_str($f19(A),A).
% 2.65/2.80 ** KEPT (pick-wt=10): 103 [] empty_carrier(A)| -one_sorted_str(A)|element($f20(A),powerset(the_carrier(A))).
% 2.65/2.80 ** KEPT (pick-wt=7): 104 [] empty_carrier(A)| -one_sorted_str(A)| -empty($f20(A)).
% 2.65/2.80 ** KEPT (pick-wt=11): 105 [] -one_sorted_str(A)| -net_str(B,A)|subnetstr($f21(A,B),A,B).
% 2.65/2.80 ** KEPT (pick-wt=10): 106 [] -one_sorted_str(A)| -net_str(B,A)|strict_net_str($f21(A,B),A).
% 2.65/2.80 ** KEPT (pick-wt=11): 107 [] -one_sorted_str(A)| -net_str(B,A)|full_subnetstr($f21(A,B),A,B).
% 2.65/2.80 ** KEPT (pick-wt=13): 108 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|subnetstr($f22(A,B),A,B).
% 2.65/2.80 ** KEPT (pick-wt=11): 109 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)| -empty_carrier($f22(A,B)).
% 2.65/2.80 ** KEPT (pick-wt=12): 110 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|strict_net_str($f22(A,B),A).
% 2.65/2.80 ** KEPT (pick-wt=13): 111 [] -one_sorted_str(A)|empty_carrier(B)| -net_str(B,A)|full_subnetstr($f22(A,B),A,B).
% 2.65/2.80 ** KEPT (pick-wt=35): 112 [] 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).
% 2.65/2.80 ** KEPT (pick-wt=30): 113 [] empty(A)|empty_carrier(B)| -rel_str(B)| -function(C)| -quasi_total(C,A,the_carrier(B))| -relation_of2(C,A,the_carrier(B))| -element(D,A)|apply_on_set_and_struct(A,B,C,D)=apply(C,D).
% 2.65/2.80 ** KEPT (pick-wt=27): 114 [] -one_sorted_str(A)| -one_sorted_str(B)| -function(C)| -quasi_total(C,the_carrier(A),the_carrier(B))| -relation_of2(C,the_carrier(A),the_carrier(B))|function_invverse_img_as_carrier_subset(A,B,C,D)=relation_inverse_image(C,D).
% 2.65/2.80 ** KEPT (pick-wt=32): 115 [] empty(A)| -function(B)| -quasi_total(B,C,A)| -relation_of2(B,C,A)| -function(D)| -quasi_total(D,A,E)| -relation_of2(D,A,E)|function_of_composition(C,A,E,B,D)=relation_composition(B,D).
% 2.65/2.80 ** KEPT (pick-wt=24): 116 [] empty(A)| -function(B)| -quasi_total(B,A,C)| -relation_of2(B,A,C)| -element(D,A)|apply_as_element(A,C,B,D)=apply(B,D).
% 2.65/2.80 ** KEPT (pick-wt=13): 117 [] -relation_of2(A,B,C)|relation_dom_restr_as_relation_of(B,C,A,D)=relation_dom_restriction(A,D).
% 2.65/2.80 ** KEPT (pick-wt=8): 118 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 2.65/2.80 ** KEPT (pick-wt=8): 119 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 2.65/2.80 ** KEPT (pick-wt=14): 120 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)|subset(the_carrier(C),the_carrier(B)).
% 2.65/2.80 ** KEPT (pick-wt=6): 121 [] -in(A,B)|element(A,B).
% 2.65/2.80 ** KEPT (pick-wt=39): 122 [] -one_sorted_str(A)| -net_str(B,A)| -subnetstr(C,A,B)| -element(D,the_carrier(B))| -element(E,the_carrier(B))| -element(F,the_carrier(C))| -element(G,the_carrier(C))|D!=F|E!=G| -related(C,F,G)|related(B,D,E).
% 2.65/2.80 ** KEPT (pick-wt=8): 123 [] -element(A,B)|empty(B)|in(A,B).
% 2.65/2.80 ** KEPT (pick-wt=22): 124 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -is_often_in(A,B,C)| -empty_carrier(preimage_subnetstr(A,B,C)).
% 2.65/2.80 ** KEPT (pick-wt=22): 125 [] empty_carrier(A)| -one_sorted_str(A)|empty_carrier(B)| -transitive_relstr(B)| -directed_relstr(B)| -net_str(B,A)| -is_often_in(A,B,C)|directed_relstr(preimage_subnetstr(A,B,C)).
% 2.65/2.80 ** KEPT (pick-wt=2): 126 [] -empty_carrier($c14).
% 2.65/2.80 ** KEPT (pick-wt=2): 127 [] -empty_carrier($c13).
% 2.65/2.80 ** KEPT (pick-wt=7): 128 [] -subnet(preimage_subnetstr($c14,$c13,$c12),$c14,$c13).
% 2.65/2.80 ** KEPT (pick-wt=7): 129 [] -element(A,powerset(B))|subset(A,B).
% 2.65/2.80 ** KEPT (pick-wt=7): 130 [] element(A,powerset(B))| -subset(A,B).
% 2.65/2.80 ** KEPT (pick-wt=21): 131 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)|C=empty_set| -in(D,relation_inverse_image(A,E))|in(D,B).
% 2.65/2.80 ** KEPT (pick-wt=23): 132 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)|C=empty_set| -in(D,relation_inverse_image(A,E))|in(apply(A,D),E).
% 2.65/2.80 ** KEPT (pick-wt=26): 133 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)|C=empty_set|in(D,relation_inverse_image(A,E))| -in(D,B)| -in(apply(A,D),E).
% 2.65/2.80 ** KEPT (pick-wt=10): 134 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 2.65/2.80 ** KEPT (pick-wt=9): 135 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 2.65/2.80 ** KEPT (pick-wt=5): 136 [] -empty(A)|A=empty_set.
% 2.65/2.80 ** KEPT (pick-wt=5): 137 [] -in(A,B)| -empty(B).
% 2.65/2.80 ** KEPT (pick-wt=7): 138 [] -empty(A)|A=B| -empty(B).
% 2.65/2.80 ** KEPT (pick-wt=18): 139 [] empty_carrier(A)| -one_sorted_str(A)| -element(B,the_carrier(A))|apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B)=B.
% 2.65/2.80 ** KEPT (pick-wt=10): 140 [] -relation(A)|relation_dom_restriction(A,B)=relation_composition(identity_relation(B),A).
% 2.65/2.80 ** KEPT (pick-wt=20): 141 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)| -subset(C,D)|C=empty_set|quasi_total(A,B,D).
% 2.65/2.80 ** KEPT (pick-wt=20): 142 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)| -subset(C,D)|C=empty_set|relation_of2_as_subset(A,B,D).
% 2.65/2.80 ** KEPT (pick-wt=20): 143 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)| -subset(C,D)|B!=empty_set|quasi_total(A,B,D).
% 2.65/2.80 ** KEPT (pick-wt=20): 144 [] -function(A)| -quasi_total(A,B,C)| -relation_of2_as_subset(A,B,C)| -subset(C,D)|B!=empty_set|relation_of2_as_subset(A,B,D).
% 2.65/2.80
% 2.65/2.80 ------------> process sos:
% 2.65/2.80 ** KEPT (pick-wt=3): 243 [] A=A.
% 2.65/2.80 ** KEPT (pick-wt=5): 244 [] v1_partfun1(identity_as_relation_of(A),A,A).
% 2.65/2.80 ** KEPT (pick-wt=5): 245 [] relation_of2_as_subset(identity_as_relation_of(A),A,A).
% 2.65/2.80 ** KEPT (pick-wt=3): 246 [] relation(identity_relation(A)).
% 2.65/2.80 ** KEPT (pick-wt=2): 247 [] rel_str($c1).
% 2.65/2.80 ** KEPT (pick-wt=2): 248 [] one_sorted_str($c2).
% 2.65/2.80 ** KEPT (pick-wt=6): 249 [] relation_of2($f11(A,B),A,B).
% 2.65/2.80 ** KEPT (pick-wt=4): 250 [] element($f12(A),A).
% 2.65/2.80 ** KEPT (pick-wt=6): 251 [] relation_of2_as_subset($f15(A,B),A,B).
% 2.65/2.80 ** KEPT (pick-wt=2): 252 [] empty(empty_set).
% 2.65/2.80 ** KEPT (pick-wt=2): 253 [] relation(empty_set).
% 2.65/2.80 ** KEPT (pick-wt=2): 254 [] relation_empty_yielding(empty_set).
% 2.65/2.80 Following clause subsumed by 246 during input processing: 0 [] relation(identity_relation(A)).
% 2.65/2.80 ** KEPT (pick-wt=3): 255 [] function(identity_relation(A)).
% 2.65/2.80 Following clause subsumed by 252 during input processing: 0 [] empty(empty_set).
% 2.65/2.80 Following clause subsumed by 253 during input processing: 0 [] relation(empty_set).
% 2.65/2.80 ** KEPT (pick-wt=2): 256 [] relation($c3).
% 2.65/2.80 ** KEPT (pick-wt=2): 257 [] function($c3).
% 2.65/2.80 ** KEPT (pick-wt=2): 258 [] relation($c4).
% 2.65/2.80 ** KEPT (pick-wt=2): 259 [] relation_empty_yielding($c4).
% 2.65/2.80 ** KEPT (pick-wt=2): 260 [] function($c4).
% 2.65/2.80 ** KEPT (pick-wt=2): 261 [] empty($c5).
% 2.65/2.80 ** KEPT (pick-wt=2): 262 [] relation($c5).
% 2.65/2.80 ** KEPT (pick-wt=7): 263 [] empty(A)|element($f17(A),powerset(A)).
% 2.65/2.80 ** KEPT (pick-wt=2): 264 [] relation($c6).
% 2.65/2.80 ** KEPT (pick-wt=2): 265 [] empty($c6).
% 2.65/2.80 ** KEPT (pick-wt=2): 266 [] function($c6).
% 2.65/2.80 ** KEPT (pick-wt=2): 267 [] relation($c7).
% 2.65/2.80 ** KEPT (pick-wt=5): 268 [] element($f18(A),powerset(A)).
% 2.65/2.80 ** KEPT (pick-wt=3): 269 [] empty($f18(A)).
% 2.65/2.80 ** KEPT (pick-wt=2): 270 [] relation($c8).
% 2.65/2.80 ** KEPT (pick-wt=2): 271 [] function($c8).
% 2.65/2.80 ** KEPT (pick-wt=2): 272 [] one_to_one($c8).
% 2.65/2.80 ** KEPT (pick-wt=2): 273 [] relation($c9).
% 2.65/2.80 ** KEPT (pick-wt=2): 274 [] relation_empty_yielding($c9).
% 2.65/2.80 ** KEPT (pick-wt=2): 275 [] one_sorted_str($c10).
% 2.65/2.80 ** KEPT (pick-wt=2): 276 [] relation($c11).
% 2.65/2.80 ** KEPT (pick-wt=2): 277 [] relation_empty_yielding($c11).
% 2.65/2.80 ** KEPT (pick-wt=2): 278 [] function($c11).
% 2.78/2.96 ** KEPT (pick-wt=5): 280 [copy,279,flip.1] identity_relation(A)=identity_as_relation_of(A).
% 2.78/2.96 ---> New Demodulator: 281 [new_demod,280] identity_relation(A)=identity_as_relation_of(A).
% 2.78/2.96 ** KEPT (pick-wt=3): 282 [] subset(A,A).
% 2.78/2.96 ** KEPT (pick-wt=2): 283 [] one_sorted_str($c14).
% 2.78/2.96 ** KEPT (pick-wt=2): 284 [] transitive_relstr($c13).
% 2.78/2.96 ** KEPT (pick-wt=2): 285 [] directed_relstr($c13).
% 2.78/2.96 ** KEPT (pick-wt=3): 286 [] net_str($c13,$c14).
% 2.78/2.96 ** KEPT (pick-wt=4): 287 [] is_often_in($c14,$c13,$c12).
% 2.78/2.96 Following clause subsumed by 243 during input processing: 0 [copy,243,flip.1] A=A.
% 2.78/2.96 243 back subsumes 226.
% 2.78/2.96 >>>> Starting back demodulation with 281.
% 2.78/2.96 >> back demodulating 255 with 281.
% 2.78/2.96 >> back demodulating 246 with 281.
% 2.78/2.96 >> back demodulating 140 with 281.
% 2.78/2.96
% 2.78/2.96 ======= end of input processing =======
% 2.78/2.96
% 2.78/2.96 =========== start of search ===========
% 2.78/2.96
% 2.78/2.96
% 2.78/2.96 Resetting weight limit to 2.
% 2.78/2.96
% 2.78/2.96
% 2.78/2.96 Resetting weight limit to 2.
% 2.78/2.96
% 2.78/2.96 sos_size=87
% 2.78/2.96
% 2.78/2.96 Search stopped because sos empty.
% 2.78/2.96
% 2.78/2.96
% 2.78/2.96 Search stopped because sos empty.
% 2.78/2.96
% 2.78/2.96 ============ end of search ============
% 2.78/2.96
% 2.78/2.96 -------------- statistics -------------
% 2.78/2.96 clauses given 98
% 2.78/2.96 clauses generated 5722
% 2.78/2.96 clauses kept 340
% 2.78/2.96 clauses forward subsumed 180
% 2.78/2.96 clauses back subsumed 1
% 2.78/2.96 Kbytes malloced 4882
% 2.78/2.96
% 2.78/2.96 ----------- times (seconds) -----------
% 2.78/2.96 user CPU time 0.23 (0 hr, 0 min, 0 sec)
% 2.78/2.96 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 2.78/2.96 wall-clock time 2 (0 hr, 0 min, 2 sec)
% 2.78/2.96
% 2.78/2.96 Process 24791 finished Wed Jul 27 08:00:06 2022
% 2.78/2.96 Otter interrupted
% 2.78/2.96 PROOF NOT FOUND
%------------------------------------------------------------------------------