%------------------------------------------------------------------------------
% File     : Otter---3.3
% Problem  : SEU296+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : otter-tptp-script %s

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jul 27 13:15:31 EDT 2022

% Result   : Unknown 6.12s 6.19s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU296+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : otter-tptp-script %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Jul 27 07:36:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 5.86/6.00  ----- Otter 3.3f, August 2004 -----
% 5.86/6.00  The process was started by sandbox2 on n024.cluster.edu,
% 5.86/6.00  Wed Jul 27 07:36:40 2022
% 5.86/6.00  The command was "./otter".  The process ID is 3075.
% 5.86/6.00  
% 5.86/6.00  set(prolog_style_variables).
% 5.86/6.00  set(auto).
% 5.86/6.00     dependent: set(auto1).
% 5.86/6.00     dependent: set(process_input).
% 5.86/6.00     dependent: clear(print_kept).
% 5.86/6.00     dependent: clear(print_new_demod).
% 5.86/6.00     dependent: clear(print_back_demod).
% 5.86/6.00     dependent: clear(print_back_sub).
% 5.86/6.00     dependent: set(control_memory).
% 5.86/6.00     dependent: assign(max_mem, 12000).
% 5.86/6.00     dependent: assign(pick_given_ratio, 4).
% 5.86/6.00     dependent: assign(stats_level, 1).
% 5.86/6.00     dependent: assign(max_seconds, 10800).
% 5.86/6.00  clear(print_given).
% 5.86/6.00  
% 5.86/6.00  formula_list(usable).
% 5.86/6.00  all A (A=A).
% 5.86/6.00  all A B (in(A,B)-> -in(B,A)).
% 5.86/6.00  all A B (proper_subset(A,B)-> -proper_subset(B,A)).
% 5.86/6.00  all A (ordinal(A)-> (all B (element(B,A)->epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)))).
% 5.86/6.00  all A (empty(A)->finite(A)).
% 5.86/6.00  all A (empty(A)->function(A)).
% 5.86/6.00  all A (ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)).
% 5.86/6.00  all A (empty(A)->relation(A)).
% 5.86/6.00  all A B C (element(C,powerset(cartesian_product2(A,B)))->relation(C)).
% 5.86/6.00  all A (empty(A)&ordinal(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 5.86/6.00  all A (finite(A)-> (all B (element(B,powerset(A))->finite(B)))).
% 5.86/6.00  all A (relation(A)&empty(A)&function(A)->relation(A)&function(A)&one_to_one(A)).
% 5.86/6.00  all A (epsilon_transitive(A)&epsilon_connected(A)->ordinal(A)).
% 5.86/6.00  all A (element(A,omega)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 5.86/6.00  all A (empty(A)->epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 5.86/6.00  all A B (unordered_pair(A,B)=unordered_pair(B,A)).
% 5.86/6.00  all A B (set_union2(A,B)=set_union2(B,A)).
% 5.86/6.00  all A B (set_intersection2(A,B)=set_intersection2(B,A)).
% 5.86/6.00  all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,B)|ordinal_subset(B,A)).
% 5.86/6.00  all A B (relation(B)-> (B=identity_relation(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(C,A)&C=D)))).
% 5.86/6.00  all A B (A=B<->subset(A,B)&subset(B,A)).
% 5.86/6.00  all A (relation(A)-> (all B C (relation(C)-> (C=relation_dom_restriction(A,B)<-> (all D E (in(ordered_pair(D,E),C)<->in(D,B)&in(ordered_pair(D,E),A))))))).
% 5.86/6.00  all A (relation(A)&function(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(E,relation_dom(A))&in(E,B)&D=apply(A,E)))))))).
% 5.86/6.00  all A B (relation(B)-> (all C (relation(C)-> (C=relation_rng_restriction(A,B)<-> (all D E (in(ordered_pair(D,E),C)<->in(E,A)&in(ordered_pair(D,E),B))))))).
% 5.86/6.00  all A (relation(A)-> (antisymmetric(A)<->is_antisymmetric_in(A,relation_field(A)))).
% 5.86/6.00  all A (relation(A)&function(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<->in(D,relation_dom(A))&in(apply(A,D),B)))))).
% 5.86/6.00  all A (relation(A)-> (all B C (C=relation_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(ordered_pair(E,D),A)&in(E,B)))))))).
% 5.86/6.00  all A (relation(A)-> (all B C (C=relation_inverse_image(A,B)<-> (all D (in(D,C)<-> (exists E (in(ordered_pair(D,E),A)&in(E,B)))))))).
% 5.86/6.00  all A (relation(A)-> (connected(A)<->is_connected_in(A,relation_field(A)))).
% 5.86/6.00  all A (relation(A)-> (transitive(A)<->is_transitive_in(A,relation_field(A)))).
% 5.86/6.00  all A B C D (D=unordered_triple(A,B,C)<-> (all E (in(E,D)<-> -(E!=A&E!=B&E!=C)))).
% 5.86/6.00  all A (finite(A)<-> (exists B (relation(B)&function(B)&relation_rng(B)=A&in(relation_dom(B),omega)))).
% 5.86/6.00  all A (function(A)<-> (all B C D (in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A)->C=D))).
% 5.86/6.00  all A B C (relation_of2_as_subset(C,A,B)-> ((B=empty_set->A=empty_set)-> (quasi_total(C,A,B)<->A=relation_dom_as_subset(A,B,C)))& (B=empty_set->A=empty_set| (quasi_total(C,A,B)<->C=empty_set))).
% 5.86/6.00  all A ((exists B C (A=ordered_pair(B,C)))-> (all B (B=pair_first(A)<-> (all C D (A=ordered_pair(C,D)->B=C))))).
% 5.86/6.00  all A (succ(A)=set_union2(A,singleton(A))).
% 5.86/6.00  all A (relation(A)<-> (all B (-(in(B,A)& (all C D (B!=ordered_pair(C,D))))))).
% 5.86/6.00  all A (relation(A)-> (all B (is_reflexive_in(A,B)<-> (all C (in(C,B)->in(ordered_pair(C,C),A)))))).
% 5.86/6.00  all A B C (relation_of2(C,A,B)<->subset(C,cartesian_product2(A,B))).
% 5.86/6.00  all A B ((A!=empty_set-> (B=set_meet(A)<-> (all C (in(C,B)<-> (all D (in(D,A)->in(C,D)))))))& (A=empty_set-> (B=set_meet(A)<->B=empty_set))).
% 5.86/6.00  all A B (B=singleton(A)<-> (all C (in(C,B)<->C=A))).
% 5.86/6.00  all A (relation(A)-> (all B C (C=fiber(A,B)<-> (all D (in(D,C)<->D!=B&in(ordered_pair(D,B),A)))))).
% 5.86/6.00  all A B (relation(B)-> (B=inclusion_relation(A)<->relation_field(B)=A& (all C D (in(C,A)&in(D,A)-> (in(ordered_pair(C,D),B)<->subset(C,D)))))).
% 5.86/6.00  all A (A=empty_set<-> (all B (-in(B,A)))).
% 5.86/6.00  all A B (B=powerset(A)<-> (all C (in(C,B)<->subset(C,A)))).
% 5.86/6.00  all A ((exists B C (A=ordered_pair(B,C)))-> (all B (B=pair_second(A)<-> (all C D (A=ordered_pair(C,D)->B=D))))).
% 5.86/6.00  all A (epsilon_transitive(A)<-> (all B (in(B,A)->subset(B,A)))).
% 5.86/6.00  all A (relation(A)-> (all B (relation(B)-> (A=B<-> (all C D (in(ordered_pair(C,D),A)<->in(ordered_pair(C,D),B))))))).
% 5.86/6.00  all A B ((-empty(A)-> (element(B,A)<->in(B,A)))& (empty(A)-> (element(B,A)<->empty(B)))).
% 5.86/6.00  all A B C (C=unordered_pair(A,B)<-> (all D (in(D,C)<->D=A|D=B))).
% 5.86/6.00  all A (relation(A)-> (well_founded_relation(A)<-> (all B (-(subset(B,relation_field(A))&B!=empty_set& (all C (-(in(C,B)&disjoint(fiber(A,C),B))))))))).
% 5.86/6.00  all A B C (C=set_union2(A,B)<-> (all D (in(D,C)<->in(D,A)|in(D,B)))).
% 5.86/6.00  all A B C (C=cartesian_product2(A,B)<-> (all D (in(D,C)<-> (exists E F (in(E,A)&in(F,B)&D=ordered_pair(E,F)))))).
% 5.86/6.00  all A (epsilon_connected(A)<-> (all B C (-(in(B,A)&in(C,A)& -in(B,C)&B!=C& -in(C,B))))).
% 5.86/6.00  all A (relation(A)-> (all B (relation(B)-> (subset(A,B)<-> (all C D (in(ordered_pair(C,D),A)->in(ordered_pair(C,D),B))))))).
% 5.86/6.00  all A B (subset(A,B)<-> (all C (in(C,A)->in(C,B)))).
% 5.86/6.00  all A (relation(A)-> (all B (is_well_founded_in(A,B)<-> (all C (-(subset(C,B)&C!=empty_set& (all D (-(in(D,C)&disjoint(fiber(A,D),C)))))))))).
% 5.86/6.00  all A B C (C=set_intersection2(A,B)<-> (all D (in(D,C)<->in(D,A)&in(D,B)))).
% 5.86/6.00  all A (relation(A)&function(A)-> (all B C ((in(B,relation_dom(A))-> (C=apply(A,B)<->in(ordered_pair(B,C),A)))& (-in(B,relation_dom(A))-> (C=apply(A,B)<->C=empty_set))))).
% 5.86/6.00  all A (ordinal(A)<->epsilon_transitive(A)&epsilon_connected(A)).
% 5.86/6.00  all A (relation(A)-> (all B (B=relation_dom(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(C,D),A))))))).
% 5.86/6.00  all A (relation(A)-> (all B (is_antisymmetric_in(A,B)<-> (all C D (in(C,B)&in(D,B)&in(ordered_pair(C,D),A)&in(ordered_pair(D,C),A)->C=D))))).
% 5.86/6.00  all A (cast_to_subset(A)=A).
% 5.86/6.00  all A B (B=union(A)<-> (all C (in(C,B)<-> (exists D (in(C,D)&in(D,A)))))).
% 5.86/6.00  all A (relation(A)-> (well_ordering(A)<->reflexive(A)&transitive(A)&antisymmetric(A)&connected(A)&well_founded_relation(A))).
% 5.86/6.00  all A B (e_quipotent(A,B)<-> (exists C (relation(C)&function(C)&one_to_one(C)&relation_dom(C)=A&relation_rng(C)=B))).
% 5.86/6.00  all A B C (C=set_difference(A,B)<-> (all D (in(D,C)<->in(D,A)& -in(D,B)))).
% 5.86/6.00  all A (relation(A)&function(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D (in(D,relation_dom(A))&C=apply(A,D)))))))).
% 5.86/6.00  all A (relation(A)-> (all B (B=relation_rng(A)<-> (all C (in(C,B)<-> (exists D in(ordered_pair(D,C),A))))))).
% 5.86/6.00  all A B (element(B,powerset(A))->subset_complement(A,B)=set_difference(A,B)).
% 5.86/6.00  all A B (ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A))).
% 5.86/6.00  all A (relation(A)-> (all B (well_orders(A,B)<->is_reflexive_in(A,B)&is_transitive_in(A,B)&is_antisymmetric_in(A,B)&is_connected_in(A,B)&is_well_founded_in(A,B)))).
% 5.86/6.00  all A (being_limit_ordinal(A)<->A=union(A)).
% 5.86/6.00  all A (relation(A)->relation_field(A)=set_union2(relation_dom(A),relation_rng(A))).
% 5.86/6.00  all A (relation(A)-> (all B (is_connected_in(A,B)<-> (all C D (-(in(C,B)&in(D,B)&C!=D& -in(ordered_pair(C,D),A)& -in(ordered_pair(D,C),A))))))).
% 5.86/6.00  all A (relation(A)-> (all B (relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B))))).
% 5.86/6.00  all A (relation(A)-> (all B (relation(B)-> (B=relation_inverse(A)<-> (all C D (in(ordered_pair(C,D),B)<->in(ordered_pair(D,C),A))))))).
% 5.86/6.00  all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)<->relation_dom(C)=relation_field(A)&relation_rng(C)=relation_field(B)&one_to_one(C)& (all D E (in(ordered_pair(D,E),A)<->in(D,relation_field(A))&in(E,relation_field(A))&in(ordered_pair(apply(C,D),apply(C,E)),B))))))))).
% 5.86/6.00  all A B (disjoint(A,B)<->set_intersection2(A,B)=empty_set).
% 5.86/6.00  all A (relation(A)&function(A)-> (one_to_one(A)<-> (all B C (in(B,relation_dom(A))&in(C,relation_dom(A))&apply(A,B)=apply(A,C)->B=C)))).
% 5.86/6.00  all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)-> (C=relation_composition(A,B)<-> (all D E (in(ordered_pair(D,E),C)<-> (exists F (in(ordered_pair(D,F),A)&in(ordered_pair(F,E),B))))))))))).
% 5.86/6.00  all A (relation(A)-> (all B (is_transitive_in(A,B)<-> (all C D E (in(C,B)&in(D,B)&in(E,B)&in(ordered_pair(C,D),A)&in(ordered_pair(D,E),A)->in(ordered_pair(C,E),A)))))).
% 5.86/6.00  all A B (element(B,powerset(powerset(A)))-> (all C (element(C,powerset(powerset(A)))-> (C=complements_of_subsets(A,B)<-> (all D (element(D,powerset(A))-> (in(D,C)<->in(subset_complement(A,D),B)))))))).
% 5.86/6.00  all A B (proper_subset(A,B)<->subset(A,B)&A!=B).
% 5.86/6.00  all A (relation(A)&function(A)-> (one_to_one(A)->function_inverse(A)=relation_inverse(A))).
% 5.86/6.00  all A (relation(A)-> (reflexive(A)<->is_reflexive_in(A,relation_field(A)))).
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  all A relation(inclusion_relation(A)).
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  all A (relation(A)&function(A)->relation(function_inverse(A))&function(function_inverse(A))).
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  all A element(cast_to_subset(A),powerset(A)).
% 5.86/6.00  $T.
% 5.86/6.00  all A B (relation(A)->relation(relation_restriction(A,B))).
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  all A B (element(B,powerset(A))->element(subset_complement(A,B),powerset(A))).
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  all A (relation(A)->relation(relation_inverse(A))).
% 5.86/6.00  all A B C (relation_of2(C,A,B)->element(relation_dom_as_subset(A,B,C),powerset(A))).
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  all A B (relation(A)&relation(B)->relation(relation_composition(A,B))).
% 5.86/6.00  all A B C (relation_of2(C,A,B)->element(relation_rng_as_subset(A,B,C),powerset(B))).
% 5.86/6.00  all A B (element(B,powerset(powerset(A)))->element(union_of_subsets(A,B),powerset(A))).
% 5.86/6.00  all A relation(identity_relation(A)).
% 5.86/6.00  all A B (element(B,powerset(powerset(A)))->element(meet_of_subsets(A,B),powerset(A))).
% 5.86/6.00  all A B C (element(B,powerset(A))&element(C,powerset(A))->element(subset_difference(A,B,C),powerset(A))).
% 5.86/6.00  all A B (relation(A)->relation(relation_dom_restriction(A,B))).
% 5.86/6.00  all A B (element(B,powerset(powerset(A)))->element(complements_of_subsets(A,B),powerset(powerset(A)))).
% 5.86/6.00  all A B (relation(B)->relation(relation_rng_restriction(A,B))).
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  $T.
% 5.86/6.00  all A B C (relation_of2_as_subset(C,A,B)->element(C,powerset(cartesian_product2(A,B)))).
% 5.86/6.00  all A B exists C relation_of2(C,A,B).
% 5.86/6.00  all A exists B element(B,A).
% 5.86/6.00  all A B exists C relation_of2_as_subset(C,A,B).
% 5.86/6.00  all A B (finite(B)->finite(set_intersection2(A,B))).
% 5.86/6.00  all A B (empty(A)&relation(B)->empty(relation_composition(B,A))&relation(relation_composition(B,A))).
% 5.86/6.00  all A B (finite(A)->finite(set_intersection2(A,B))).
% 5.86/6.00  all A (empty(A)->empty(relation_inverse(A))&relation(relation_inverse(A))).
% 5.86/6.00  empty(empty_set).
% 5.86/6.00  relation(empty_set).
% 5.86/6.00  relation_empty_yielding(empty_set).
% 5.86/6.00  all A B (relation(A)&relation_empty_yielding(A)->relation(relation_dom_restriction(A,B))&relation_empty_yielding(relation_dom_restriction(A,B))).
% 5.86/6.00  all A B (relation(A)&function(A)&relation(B)&function(B)->relation(relation_composition(A,B))&function(relation_composition(A,B))).
% 5.86/6.00  all A (-empty(succ(A))).
% 5.86/6.00  epsilon_transitive(omega).
% 5.86/6.00  epsilon_connected(omega).
% 5.86/6.00  ordinal(omega).
% 5.86/6.00  -empty(omega).
% 5.86/6.00  all A B (relation(A)&relation(B)->relation(set_intersection2(A,B))).
% 5.86/6.00  all A (-empty(powerset(A))).
% 5.86/6.00  empty(empty_set).
% 5.86/6.00  all A B (-empty(ordered_pair(A,B))).
% 5.86/6.00  all A (relation(identity_relation(A))&function(identity_relation(A))).
% 5.86/6.00  relation(empty_set).
% 5.86/6.00  relation_empty_yielding(empty_set).
% 5.86/6.00  function(empty_set).
% 5.86/6.00  one_to_one(empty_set).
% 5.86/6.00  empty(empty_set).
% 5.86/6.00  epsilon_transitive(empty_set).
% 5.86/6.00  epsilon_connected(empty_set).
% 5.86/6.00  ordinal(empty_set).
% 5.86/6.00  all A B (relation(A)&relation(B)->relation(set_union2(A,B))).
% 5.86/6.00  all A (-empty(singleton(A))).
% 5.86/6.00  all A B (-empty(A)-> -empty(set_union2(A,B))).
% 5.86/6.00  all A (relation(A)&function(A)&one_to_one(A)->relation(relation_inverse(A))&function(relation_inverse(A))).
% 5.86/6.00  all A (ordinal(A)-> -empty(succ(A))&epsilon_transitive(succ(A))&epsilon_connected(succ(A))&ordinal(succ(A))).
% 5.86/6.00  all A B (relation(A)&relation(B)->relation(set_difference(A,B))).
% 5.86/6.00  all A B (-empty(unordered_pair(A,B))).
% 5.86/6.00  all A B (-empty(A)-> -empty(set_union2(B,A))).
% 5.86/6.00  all A B (relation(A)&function(A)->relation(relation_dom_restriction(A,B))&function(relation_dom_restriction(A,B))).
% 5.86/6.00  all A (ordinal(A)->epsilon_transitive(union(A))&epsilon_connected(union(A))&ordinal(union(A))).
% 5.86/6.00  empty(empty_set).
% 5.86/6.00  relation(empty_set).
% 5.86/6.00  all A B (-empty(A)& -empty(B)-> -empty(cartesian_product2(A,B))).
% 5.86/6.00  all A B (relation(B)&function(B)->relation(relation_rng_restriction(A,B))&function(relation_rng_restriction(A,B))).
% 5.86/6.00  all A (-empty(A)&relation(A)-> -empty(relation_dom(A))).
% 5.86/6.00  all A (-empty(A)&relation(A)-> -empty(relation_rng(A))).
% 5.86/6.00  all A (empty(A)->empty(relation_dom(A))&relation(relation_dom(A))).
% 5.86/6.00  all A (empty(A)->empty(relation_rng(A))&relation(relation_rng(A))).
% 5.86/6.00  all A B (empty(A)&relation(B)->empty(relation_composition(A,B))&relation(relation_composition(A,B))).
% 5.86/6.00  all A B (set_union2(A,A)=A).
% 5.86/6.00  all A B (set_intersection2(A,A)=A).
% 5.86/6.00  all A B (element(B,powerset(A))->subset_complement(A,subset_complement(A,B))=B).
% 5.86/6.00  all A (relation(A)->relation_inverse(relation_inverse(A))=A).
% 5.86/6.00  all A B (element(B,powerset(powerset(A)))->complements_of_subsets(A,complements_of_subsets(A,B))=B).
% 5.86/6.00  all A B (-proper_subset(A,A)).
% 5.86/6.00  all A (relation(A)-> (reflexive(A)<-> (all B (in(B,relation_field(A))->in(ordered_pair(B,B),A))))).
% 5.86/6.00  all A (singleton(A)!=empty_set).
% 5.86/6.00  all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 5.86/6.00  all A B (-(disjoint(singleton(A),B)&in(A,B))).
% 5.86/6.00  all A B (-in(A,B)->disjoint(singleton(A),B)).
% 5.86/6.00  all A B (relation(B)->subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B))).
% 5.86/6.00  all A (relation(A)-> (transitive(A)<-> (all B C D (in(ordered_pair(B,C),A)&in(ordered_pair(C,D),A)->in(ordered_pair(B,D),A))))).
% 5.86/6.00  all A B (subset(singleton(A),B)<->in(A,B)).
% 5.86/6.00  all A B (relation(B)-> -(well_ordering(B)&e_quipotent(A,relation_field(B))& (all C (relation(C)-> -well_orders(C,A))))).
% 5.86/6.00  all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 5.86/6.00  all A B (element(B,powerset(A))-> (all C (in(C,B)->in(C,A)))).
% 5.86/6.00  all A (relation(A)-> (antisymmetric(A)<-> (all B C (in(ordered_pair(B,C),A)&in(ordered_pair(C,B),A)->B=C)))).
% 5.86/6.00  all A B C (subset(A,B)->in(C,A)|subset(A,set_difference(B,singleton(C)))).
% 5.86/6.00  all A (relation(A)-> (connected(A)<-> (all B C (-(in(B,relation_field(A))&in(C,relation_field(A))&B!=C& -in(ordered_pair(B,C),A)& -in(ordered_pair(C,B),A)))))).
% 5.86/6.00  all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 5.86/6.00  all A B (in(A,B)->subset(A,union(B))).
% 5.86/6.00  all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 5.86/6.00  all A B ((all C (in(C,A)->in(C,B)))->element(A,powerset(B))).
% 5.86/6.00  all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))<->in(B,relation_dom(C))&in(B,A))).
% 5.86/6.00  exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)&natural(A)).
% 5.86/6.00  exists A (-empty(A)&finite(A)).
% 5.86/6.00  exists A (relation(A)&function(A)).
% 5.86/6.00  all A B exists C (relation_of2(C,A,B)&relation(C)&function(C)&quasi_total(C,A,B)).
% 5.86/6.00  exists A (epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 5.86/6.00  exists A (relation(A)&function(A)&one_to_one(A)&empty(A)).
% 5.86/6.00  exists A (empty(A)&relation(A)).
% 5.86/6.00  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)))).
% 5.86/6.00  exists A empty(A).
% 5.86/6.00  all A exists B (element(B,powerset(A))&empty(B)&relation(B)&function(B)&one_to_one(B)&epsilon_transitive(B)&epsilon_connected(B)&ordinal(B)&natural(B)&finite(B)).
% 5.86/6.00  exists A (relation(A)&empty(A)&function(A)).
% 5.86/6.00  exists A (relation(A)&function(A)&one_to_one(A)&empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 5.86/6.00  all A B exists C (relation_of2(C,A,B)&relation(C)&function(C)).
% 5.86/6.00  exists A (-empty(A)&relation(A)).
% 5.86/6.00  all A exists B (element(B,powerset(A))&empty(B)).
% 5.86/6.00  exists A (-empty(A)).
% 5.86/6.00  all A (-empty(A)-> (exists B (element(B,powerset(A))& -empty(B)&finite(B)))).
% 5.86/6.00  exists A (relation(A)&function(A)&one_to_one(A)).
% 5.86/6.00  exists A (-empty(A)&epsilon_transitive(A)&epsilon_connected(A)&ordinal(A)).
% 5.86/6.00  exists A (relation(A)&relation_empty_yielding(A)).
% 5.86/6.00  exists A (relation(A)&relation_empty_yielding(A)&function(A)).
% 5.86/6.00  all A B C (relation_of2(C,A,B)->relation_dom_as_subset(A,B,C)=relation_dom(C)).
% 5.86/6.00  all A B C (relation_of2(C,A,B)->relation_rng_as_subset(A,B,C)=relation_rng(C)).
% 5.86/6.00  all A B (element(B,powerset(powerset(A)))->union_of_subsets(A,B)=union(B)).
% 5.86/6.00  all A B (element(B,powerset(powerset(A)))->meet_of_subsets(A,B)=set_meet(B)).
% 5.86/6.00  all A B C (element(B,powerset(A))&element(C,powerset(A))->subset_difference(A,B,C)=set_difference(B,C)).
% 5.86/6.00  all A B C (relation_of2_as_subset(C,A,B)<->relation_of2(C,A,B)).
% 5.86/6.00  all A B (ordinal(A)&ordinal(B)-> (ordinal_subset(A,B)<->subset(A,B))).
% 5.86/6.00  all A B (e_quipotent(A,B)<->are_e_quipotent(A,B)).
% 5.86/6.00  all A B (ordinal(A)&ordinal(B)->ordinal_subset(A,A)).
% 5.86/6.00  all A B subset(A,A).
% 5.86/6.00  all A B e_quipotent(A,A).
% 5.86/6.00  all A B (-empty(A)&relation(B)-> ((all C D E (in(C,A)& (exists F (C=F&in(D,F)& (all G (in(G,F)->in(ordered_pair(D,G),B)))))&in(C,A)& (exists H (C=H&in(E,H)& (all I (in(I,H)->in(ordered_pair(E,I),B)))))->D=E))-> (exists C (relation(C)&function(C)& (all D E (in(ordered_pair(D,E),C)<->in(D,A)&in(D,A)& (exists J (D=J&in(E,J)& (all K (in(K,J)->in(ordered_pair(E,K),B))))))))))).
% 5.86/6.00  all A ((all B C D (in(B,A)&C=singleton(B)&in(B,A)&D=singleton(B)->C=D))-> (exists B (relation(B)&function(B)& (all C D (in(ordered_pair(C,D),B)<->in(C,A)&in(C,A)&D=singleton(C)))))).
% 5.86/6.00  all A ((exists B (ordinal(B)&in(B,A)))-> (exists B (ordinal(B)&in(B,A)& (all C (ordinal(C)-> (in(C,A)->ordinal_subset(B,C))))))).
% 5.86/6.00  all A B C (relation(B)&relation(C)&function(C)-> (exists D (relation(D)& (all E F (in(ordered_pair(E,F),D)<->in(E,A)&in(F,A)&in(ordered_pair(apply(C,E),apply(C,F)),B)))))).
% 5.86/6.00  all A B (-empty(A)&relation(B)-> ((all C D E (in(C,A)& (exists F (C=F&in(D,F)& (all G (in(G,F)->in(ordered_pair(D,G),B)))))&in(C,A)& (exists H (C=H&in(E,H)& (all I (in(I,H)->in(ordered_pair(E,I),B)))))->D=E))-> (exists C all D (in(D,C)<-> (exists E (in(E,A)&in(E,A)& (exists J (E=J&in(D,J)& (all K (in(K,J)->in(ordered_pair(D,K),B))))))))))).
% 5.86/6.00  all A B (-empty(A)&relation(B)-> (all C ((all D E F (D=E& (exists G H (ordered_pair(G,H)=E&in(G,A)& (exists I (G=I&in(H,I)& (all J (in(J,I)->in(ordered_pair(H,J),B)))))))&D=F& (exists K L (ordered_pair(K,L)=F&in(K,A)& (exists M (K=M&in(L,M)& (all N (in(N,M)->in(ordered_pair(L,N),B)))))))->E=F))-> (exists D all E (in(E,D)<-> (exists F (in(F,cartesian_product2(A,C))&F=E& (exists O P (ordered_pair(O,P)=E&in(O,A)& (exists Q (O=Q&in(P,Q)& (all R (in(R,Q)->in(ordered_pair(P,R),B)))))))))))))).
% 5.86/6.00  all A ((all B C D (in(B,A)&C=singleton(B)&in(B,A)&D=singleton(B)->C=D))-> (exists B all C (in(C,B)<-> (exists D (in(D,A)&in(D,A)&C=singleton(D)))))).
% 5.86/6.00  all A B ((all C D E (C=D& (exists F G (ordered_pair(F,G)=D&in(F,A)&G=singleton(F)))&C=E& (exists H I (ordered_pair(H,I)=E&in(H,A)&I=singleton(H)))->D=E))-> (exists C all D (in(D,C)<-> (exists E (in(E,cartesian_product2(A,B))&E=D& (exists J K (ordered_pair(J,K)=D&in(J,A)&K=singleton(J)))))))).
% 5.86/6.00  all A B C (relation(B)&relation(C)&function(C)-> ((all D E F (D=E& (exists G H (E=ordered_pair(G,H)&in(ordered_pair(apply(C,G),apply(C,H)),B)))&D=F& (exists I J (F=ordered_pair(I,J)&in(ordered_pair(apply(C,I),apply(C,J)),B)))->E=F))-> (exists D all E (in(E,D)<-> (exists F (in(F,cartesian_product2(A,A))&F=E& (exists K L (E=ordered_pair(K,L)&in(ordered_pair(apply(C,K),apply(C,L)),B))))))))).
% 5.86/6.00  all A ((all B C D (B=C&ordinal(C)&B=D&ordinal(D)->C=D))-> (exists B all C (in(C,B)<-> (exists D (in(D,A)&D=C&ordinal(C)))))).
% 5.86/6.00  all A B (ordinal(B)-> ((all C D E (C=D& (exists F (ordinal(F)&D=F&in(F,A)))&C=E& (exists G (ordinal(G)&E=G&in(G,A)))->D=E))-> (exists C all D (in(D,C)<-> (exists E (in(E,succ(B))&E=D& (exists H (ordinal(H)&D=H&in(H,A))))))))).
% 5.86/6.00  all A B (-empty(A)&relation(B)-> (all C exists D all E (in(E,D)<->in(E,cartesian_product2(A,C))& (exists F G (ordered_pair(F,G)=E&in(F,A)& (exists H (F=H&in(G,H)& (all I (in(I,H)->in(ordered_pair(G,I),B)))))))))).
% 5.86/6.00  all A B exists C all D (in(D,C)<->in(D,cartesian_product2(A,B))& (exists E F (ordered_pair(E,F)=D&in(E,A)&F=singleton(E)))).
% 5.86/6.00  all A B C (relation(B)&relation(C)&function(C)-> (exists D all E (in(E,D)<->in(E,cartesian_product2(A,A))& (exists F G (E=ordered_pair(F,G)&in(ordered_pair(apply(C,F),apply(C,G)),B)))))).
% 5.86/6.00  all A exists B all C (in(C,B)<->in(C,A)&ordinal(C)).
% 5.86/6.00  all A B (ordinal(B)-> (exists C all D (in(D,C)<->in(D,succ(B))& (exists E (ordinal(E)&D=E&in(E,A)))))).
% 5.86/6.00  all A B (-empty(A)&relation(B)-> ((all C D E (in(C,A)& (exists F (C=F&in(D,F)& (all G (in(G,F)->in(ordered_pair(D,G),B)))))& (exists H (C=H&in(E,H)& (all I (in(I,H)->in(ordered_pair(E,I),B)))))->D=E))& (all C (-(in(C,A)& (all D (-(exists J (C=J&in(D,J)& (all K (in(K,J)->in(ordered_pair(D,K),B))))))))))-> (exists C (relation(C)&function(C)&relation_dom(C)=A& (all D (in(D,A)-> (exists L (D=L&in(apply(C,D),L)& (all M (in(M,L)->in(ordered_pair(apply(C,D),M),B))))))))))).
% 5.86/6.00  all A ((all B C D (in(B,A)&C=singleton(B)&D=singleton(B)->C=D))& (all B (-(in(B,A)& (all C (C!=singleton(B))))))-> (exists B (relation(B)&function(B)&relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=singleton(C)))))).
% 5.86/6.00  all A exists B (relation(B)&function(B)&relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=singleton(C)))).
% 5.86/6.00  all A B (disjoint(A,B)->disjoint(B,A)).
% 5.86/6.00  all A B (e_quipotent(A,B)->e_quipotent(B,A)).
% 5.86/6.00  all A B C D (in(ordered_pair(A,B),cartesian_product2(C,D))<->in(A,C)&in(B,D)).
% 5.86/6.00  all A in(A,succ(A)).
% 5.86/6.00  all A B C D (-(unordered_pair(A,B)=unordered_pair(C,D)&A!=C&A!=D)).
% 5.86/6.00  all A B C (relation(C)-> (in(A,relation_rng(relation_rng_restriction(B,C)))<->in(A,B)&in(A,relation_rng(C)))).
% 5.86/6.00  all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),A)).
% 5.86/6.00  all A B (relation(B)->subset(relation_rng_restriction(A,B),B)).
% 5.86/6.00  all A B (relation(B)->subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B))).
% 5.86/6.00  all A B C (subset(A,B)->subset(cartesian_product2(A,C),cartesian_product2(B,C))&subset(cartesian_product2(C,A),cartesian_product2(C,B))).
% 5.86/6.00  all A B (relation(B)->relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A)).
% 5.86/6.00  all A B C D (subset(A,B)&subset(C,D)->subset(cartesian_product2(A,C),cartesian_product2(B,D))).
% 5.86/6.00  all A B C (relation_of2_as_subset(C,A,B)->subset(relation_dom(C),A)&subset(relation_rng(C),B)).
% 5.86/6.00  all A B (subset(A,B)->set_union2(A,B)=B).
% 5.86/6.00  all A exists B (in(A,B)& (all C D (in(C,B)&subset(D,C)->in(D,B)))& (all C (in(C,B)->in(powerset(C),B)))& (all C (-(subset(C,B)& -are_e_quipotent(C,B)& -in(C,B))))).
% 5.86/6.00  all A B (subset(A,B)&finite(B)->finite(A)).
% 5.86/6.00  all A B C (relation(C)->relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B))).
% 5.86/6.00  all A B C (relation(C)-> (in(A,relation_image(C,B))<-> (exists D (in(D,relation_dom(C))&in(ordered_pair(D,A),C)&in(D,B))))).
% 5.86/6.00  all A B (relation(B)->subset(relation_image(B,A),relation_rng(B))).
% 5.86/6.00  all A B (relation(B)&function(B)->subset(relation_image(B,relation_inverse_image(B,A)),A)).
% 5.86/6.00  all A B (relation(B)->relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A))).
% 5.86/6.00  all A B (relation(B)-> (subset(A,relation_dom(B))->subset(A,relation_inverse_image(B,relation_image(B,A))))).
% 5.86/6.00  all A (relation(A)->relation_image(A,relation_dom(A))=relation_rng(A)).
% 5.86/6.00  all A B (relation(B)&function(B)-> (subset(A,relation_rng(B))->relation_image(B,relation_inverse_image(B,A))=A)).
% 5.86/6.00  all A B C D (relation_of2_as_subset(D,C,A)-> (subset(relation_rng(D),B)->relation_of2_as_subset(D,C,B))).
% 5.86/6.00  all A B (finite(A)->finite(set_intersection2(A,B))).
% 5.86/6.00  all A (relation(A)-> (all B (relation(B)->relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A))))).
% 5.86/6.00  all A B C (relation(C)-> (in(A,relation_inverse_image(C,B))<-> (exists D (in(D,relation_rng(C))&in(ordered_pair(A,D),C)&in(D,B))))).
% 5.86/6.00  all A B (relation(B)->subset(relation_inverse_image(B,A),relation_dom(B))).
% 5.86/6.00  all A B C D (relation_of2_as_subset(D,C,A)-> (subset(A,B)->relation_of2_as_subset(D,C,B))).
% 5.86/6.00  all A B C (relation(C)-> (in(A,relation_restriction(C,B))<->in(A,C)&in(A,cartesian_product2(B,B)))).
% 5.86/6.00  all A B (relation(B)-> -(A!=empty_set&subset(A,relation_rng(B))&relation_inverse_image(B,A)=empty_set)).
% 5.86/6.00  all A B C (relation(C)-> (subset(A,B)->subset(relation_inverse_image(C,A),relation_inverse_image(C,B)))).
% 5.86/6.00  -(all A B (relation(B)&function(B)-> (finite(A)->finite(relation_image(B,A))))).
% 5.86/6.00  all A B (relation(B)->relation_restriction(B,A)=relation_dom_restriction(relation_rng_restriction(A,B),A)).
% 5.86/6.00  all A B subset(set_intersection2(A,B),A).
% 5.86/6.00  all A B (relation(B)->relation_restriction(B,A)=relation_rng_restriction(A,relation_dom_restriction(B,A))).
% 5.86/6.00  all A B C (relation(C)-> (in(A,relation_field(relation_restriction(C,B)))->in(A,relation_field(C))&in(A,B))).
% 5.86/6.00  all A B C (subset(A,B)&subset(A,C)->subset(A,set_intersection2(B,C))).
% 5.86/6.00  all A (set_union2(A,empty_set)=A).
% 5.86/6.00  all A B (in(A,B)->element(A,B)).
% 5.86/6.00  all A B C (subset(A,B)&subset(B,C)->subset(A,C)).
% 5.86/6.00  powerset(empty_set)=singleton(empty_set).
% 5.86/6.00  all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_dom(C))&in(B,relation_rng(C)))).
% 5.86/6.00  all A B (relation(B)->subset(relation_field(relation_restriction(B,A)),relation_field(B))&subset(relation_field(relation_restriction(B,A)),A)).
% 5.86/6.00  all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))<->in(A,relation_dom(C))&in(apply(C,A),relation_dom(B)))))).
% 5.86/6.00  all A B C D (function(D)&quasi_total(D,A,B)&relation_of2_as_subset(D,A,B)-> (all E (relation(E)&function(E)-> (in(C,A)->B=empty_set|apply(relation_composition(D,E),C)=apply(E,apply(D,C)))))).
% 5.86/6.00  all A (epsilon_transitive(A)-> (all B (ordinal(B)-> (proper_subset(A,B)->in(A,B))))).
% 5.86/6.00  all A (relation(A)->subset(A,cartesian_product2(relation_dom(A),relation_rng(A)))).
% 5.86/6.00  all A B C (relation(C)->subset(fiber(relation_restriction(C,A),B),fiber(C,B))).
% 5.86/6.00  all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(relation_composition(C,B)))->apply(relation_composition(C,B),A)=apply(B,apply(C,A)))))).
% 5.86/6.00  all A B C (relation_of2_as_subset(C,B,A)-> ((all D (-(in(D,B)& (all E (-in(ordered_pair(D,E),C))))))<->relation_dom_as_subset(B,A,C)=B)).
% 5.86/6.00  all A B (relation(B)-> (reflexive(B)->reflexive(relation_restriction(B,A)))).
% 5.86/6.00  all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (in(A,relation_dom(B))->apply(relation_composition(B,C),A)=apply(C,apply(B,A)))))).
% 5.86/6.00  all A B (ordinal(B)-> (in(A,B)->ordinal(A))).
% 5.86/6.00  all A B C (relation_of2_as_subset(C,A,B)-> ((all D (-(in(D,B)& (all E (-in(ordered_pair(E,D),C))))))<->relation_rng_as_subset(A,B,C)=B)).
% 5.86/6.00  all A B (relation(B)-> (connected(B)->connected(relation_restriction(B,A)))).
% 5.86/6.00  all A (ordinal(A)-> (all B (ordinal(B)-> -(-in(A,B)&A!=B& -in(B,A))))).
% 5.86/6.00  all A B (relation(B)-> (transitive(B)->transitive(relation_restriction(B,A)))).
% 5.86/6.00  all A (relation(A)-> (all B (relation(B)-> (subset(A,B)->subset(relation_dom(A),relation_dom(B))&subset(relation_rng(A),relation_rng(B)))))).
% 5.86/6.00  all A B (relation(B)-> (antisymmetric(B)->antisymmetric(relation_restriction(B,A)))).
% 5.86/6.00  all A B (relation(B)-> (well_orders(B,A)->relation_field(relation_restriction(B,A))=A&well_ordering(relation_restriction(B,A)))).
% 5.86/6.00  all A exists B (relation(B)&well_orders(B,A)).
% 5.86/6.00  all A B C (subset(A,B)->subset(set_intersection2(A,C),set_intersection2(B,C))).
% 5.86/6.00  all A (-empty(A)-> -((all B (-(in(B,A)&B=empty_set)))& (all B (relation(B)&function(B)-> -(relation_dom(B)=A& (all C (in(C,A)->in(apply(B,C),C)))))))).
% 5.86/6.00  all A B (subset(A,B)->set_intersection2(A,B)=A).
% 5.86/6.00  all A (set_intersection2(A,empty_set)=empty_set).
% 5.86/6.00  all A B (element(A,B)->empty(B)|in(A,B)).
% 5.86/6.00  all A B ((all C (in(C,A)<->in(C,B)))->A=B).
% 5.86/6.00  all A reflexive(inclusion_relation(A)).
% 5.86/6.00  all A subset(empty_set,A).
% 5.86/6.00  all A B C (relation(C)-> (in(ordered_pair(A,B),C)->in(A,relation_field(C))&in(B,relation_field(C)))).
% 5.86/6.00  all A ((all B (in(B,A)->ordinal(B)&subset(B,A)))->ordinal(A)).
% 5.86/6.00  all A B (relation(B)-> (well_founded_relation(B)->well_founded_relation(relation_restriction(B,A)))).
% 5.86/6.00  all A B (ordinal(B)-> -(subset(A,B)&A!=empty_set& (all C (ordinal(C)-> -(in(C,A)& (all D (ordinal(D)-> (in(D,A)->ordinal_subset(C,D))))))))).
% 5.86/6.00  all A B (relation(B)-> (well_ordering(B)->well_ordering(relation_restriction(B,A)))).
% 5.86/6.00  all A (ordinal(A)-> (all B (ordinal(B)-> (in(A,B)<->ordinal_subset(succ(A),B))))).
% 5.86/6.00  all A B C (subset(A,B)->subset(set_difference(A,C),set_difference(B,C))).
% 5.86/6.00  all A B C D (ordered_pair(A,B)=ordered_pair(C,D)->A=C&B=D).
% 5.86/6.00  all A B (relation(B)&function(B)-> (B=identity_relation(A)<->relation_dom(B)=A& (all C (in(C,A)->apply(B,C)=C)))).
% 5.86/6.00  all A B (in(B,A)->apply(identity_relation(A),B)=B).
% 5.86/6.00  all A B subset(set_difference(A,B),A).
% 5.86/6.00  all A (relation(A)->relation_rng(A)=relation_dom(relation_inverse(A))&relation_dom(A)=relation_rng(relation_inverse(A))).
% 5.86/6.00  all A B (set_difference(A,B)=empty_set<->subset(A,B)).
% 5.86/6.00  all A B (subset(singleton(A),B)<->in(A,B)).
% 5.86/6.00  all A B C (subset(unordered_pair(A,B),C)<->in(A,C)&in(B,C)).
% 5.97/6.05  all A B (relation(B)-> (well_ordering(B)&subset(A,relation_field(B))->relation_field(relation_restriction(B,A))=A)).
% 5.97/6.05  all A B (set_union2(A,set_difference(B,A))=set_union2(A,B)).
% 5.97/6.05  all A B (subset(A,singleton(B))<->A=empty_set|A=singleton(B)).
% 5.97/6.05  all A (set_difference(A,empty_set)=A).
% 5.97/6.05  all A B C (-(in(A,B)&in(B,C)&in(C,A))).
% 5.97/6.05  all A B (element(A,powerset(B))<->subset(A,B)).
% 5.97/6.05  all A transitive(inclusion_relation(A)).
% 5.97/6.05  all A B (-(-disjoint(A,B)& (all C (-(in(C,A)&in(C,B)))))& -((exists C (in(C,A)&in(C,B)))&disjoint(A,B))).
% 5.97/6.05  all A (subset(A,empty_set)->A=empty_set).
% 5.97/6.05  all A B (set_difference(set_union2(A,B),B)=set_difference(A,B)).
% 5.97/6.05  all A (ordinal(A)-> (being_limit_ordinal(A)<-> (all B (ordinal(B)-> (in(B,A)->in(succ(B),A)))))).
% 5.97/6.05  all A (ordinal(A)-> -(-being_limit_ordinal(A)& (all B (ordinal(B)->A!=succ(B))))& -((exists B (ordinal(B)&A=succ(B)))&being_limit_ordinal(A))).
% 5.97/6.05  all A B (element(B,powerset(A))-> (all C (element(C,powerset(A))-> (disjoint(B,C)<->subset(B,subset_complement(A,C)))))).
% 5.97/6.05  all A (relation(A)-> (all B (relation(B)->subset(relation_dom(relation_composition(A,B)),relation_dom(A))))).
% 5.97/6.05  all A (relation(A)-> (all B (relation(B)->subset(relation_rng(relation_composition(A,B)),relation_rng(B))))).
% 5.97/6.05  all A B (subset(A,B)->B=set_union2(A,set_difference(B,A))).
% 5.97/6.05  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))))).
% 5.97/6.05  all A (relation(A)-> (all B (relation(B)-> (subset(relation_rng(A),relation_dom(B))->relation_dom(relation_composition(A,B))=relation_dom(A))))).
% 5.97/6.05  all A B (element(B,powerset(powerset(A)))-> -(B!=empty_set&complements_of_subsets(A,B)=empty_set)).
% 5.97/6.05  all A B (in(A,B)->set_union2(singleton(A),B)=B).
% 5.97/6.05  all A (relation(A)-> (all B (relation(B)-> (subset(relation_dom(A),relation_rng(B))->relation_rng(relation_composition(B,A))=relation_rng(A))))).
% 5.97/6.05  all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)))).
% 5.97/6.05  all A B (element(B,powerset(powerset(A)))-> (B!=empty_set->union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)))).
% 5.97/6.05  all A B (set_difference(A,set_difference(A,B))=set_intersection2(A,B)).
% 5.97/6.05  all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)->relation_isomorphism(B,A,function_inverse(C)))))))).
% 5.97/6.05  all A (set_difference(empty_set,A)=empty_set).
% 5.97/6.05  all A B C (in(A,B)&element(B,powerset(C))->element(A,C)).
% 5.97/6.05  all A (ordinal(A)->connected(inclusion_relation(A))).
% 5.97/6.05  all A B (-(-disjoint(A,B)& (all C (-in(C,set_intersection2(A,B)))))& -((exists C in(C,set_intersection2(A,B)))&disjoint(A,B))).
% 5.97/6.05  all A (A!=empty_set-> (all B (element(B,powerset(A))-> (all C (element(C,A)-> (-in(C,B)->in(C,subset_complement(A,B)))))))).
% 5.97/6.05  all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (relation_isomorphism(A,B,C)-> (reflexive(A)->reflexive(B))& (transitive(A)->transitive(B))& (connected(A)->connected(B))& (antisymmetric(A)->antisymmetric(B))& (well_founded_relation(A)->well_founded_relation(B)))))))).
% 5.97/6.05  all A (relation(A)&function(A)-> (one_to_one(A)-> (all B (relation(B)&function(B)-> (B=function_inverse(A)<->relation_dom(B)=relation_rng(A)& (all C D ((in(C,relation_rng(A))&D=apply(B,C)->in(D,relation_dom(A))&C=apply(A,D))& (in(D,relation_dom(A))&C=apply(A,D)->in(C,relation_rng(A))&D=apply(B,C))))))))).
% 5.97/6.05  all A B C (element(C,powerset(A))-> -(in(B,subset_complement(A,C))&in(B,C))).
% 5.97/6.05  all A (relation(A)-> (all B (relation(B)-> (all C (relation(C)&function(C)-> (well_ordering(A)&relation_isomorphism(A,B,C)->well_ordering(B))))))).
% 5.97/6.05  all A (relation(A)&function(A)-> (one_to_one(A)->relation_rng(A)=relation_dom(function_inverse(A))&relation_dom(A)=relation_rng(function_inverse(A)))).
% 5.97/6.05  all A (relation(A)-> ((all B C (-in(ordered_pair(B,C),A)))->A=empty_set)).
% 5.97/6.05  all A B (relation(B)&function(B)-> (one_to_one(B)&in(A,relation_rng(B))->A=apply(B,apply(function_inverse(B),A))&A=apply(relation_composition(function_inverse(B),B),A))).
% 5.97/6.05  all A B C (-(in(A,B)&element(B,powerset(C))&empty(C))).
% 5.97/6.05  all A (relation(A)-> (well_founded_relation(A)<->is_well_founded_in(A,relation_field(A)))).
% 5.97/6.05  all A antisymmetric(inclusion_relation(A)).
% 5.97/6.05  relation_dom(empty_set)=empty_set.
% 5.97/6.05  relation_rng(empty_set)=empty_set.
% 5.97/6.05  all A B (-(subset(A,B)&proper_subset(B,A))).
% 5.97/6.05  all A (relation(A)&function(A)-> (one_to_one(A)->one_to_one(function_inverse(A)))).
% 5.97/6.05  all A B C (subset(A,B)&disjoint(B,C)->disjoint(A,C)).
% 5.97/6.05  all A (relation(A)-> (relation_dom(A)=empty_set|relation_rng(A)=empty_set->A=empty_set)).
% 5.97/6.05  all A (relation(A)-> (relation_dom(A)=empty_set<->relation_rng(A)=empty_set)).
% 5.97/6.05  all A B (set_difference(A,singleton(B))=A<-> -in(B,A)).
% 5.97/6.05  all A B (relation(B)&function(B)-> (all C (relation(C)&function(C)-> (B=relation_dom_restriction(C,A)<->relation_dom(B)=set_intersection2(relation_dom(C),A)& (all D (in(D,relation_dom(B))->apply(B,D)=apply(C,D))))))).
% 5.97/6.05  all A (unordered_pair(A,A)=singleton(A)).
% 5.97/6.05  all A (empty(A)->A=empty_set).
% 5.97/6.05  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)))).
% 5.97/6.05  all A (ordinal(A)->well_founded_relation(inclusion_relation(A))).
% 5.97/6.05  all A B (subset(singleton(A),singleton(B))->A=B).
% 5.97/6.05  all A B C (relation(C)&function(C)-> (in(B,relation_dom(relation_dom_restriction(C,A)))->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 5.97/6.05  all A (relation_dom(identity_relation(A))=A&relation_rng(identity_relation(A))=A).
% 5.97/6.05  all A B C (relation(C)&function(C)-> (in(B,A)->apply(relation_dom_restriction(C,A),B)=apply(C,B))).
% 5.97/6.05  all A B C D (relation(D)-> (in(ordered_pair(A,B),relation_composition(identity_relation(C),D))<->in(A,C)&in(ordered_pair(A,B),D))).
% 5.97/6.05  all A B (-(in(A,B)&empty(B))).
% 5.97/6.05  all A B (pair_first(ordered_pair(A,B))=A&pair_second(ordered_pair(A,B))=B).
% 5.97/6.05  all A B (-(in(A,B)& (all C (-(in(C,B)& (all D (-(in(D,B)&in(D,C))))))))).
% 5.97/6.05  all A (ordinal(A)->well_ordering(inclusion_relation(A))).
% 5.97/6.05  all A B subset(A,set_union2(A,B)).
% 5.97/6.05  all A B (disjoint(A,B)<->set_difference(A,B)=A).
% 5.97/6.05  all A B C (relation(C)-> (in(A,relation_dom(relation_dom_restriction(C,B)))<->in(A,B)&in(A,relation_dom(C)))).
% 5.97/6.05  all A B (relation(B)->subset(relation_dom_restriction(B,A),B)).
% 5.97/6.05  all A B (-(empty(A)&A!=B&empty(B))).
% 5.97/6.05  all A B C (relation(C)&function(C)-> (in(ordered_pair(A,B),C)<->in(A,relation_dom(C))&B=apply(C,A))).
% 5.97/6.05  all A (relation(A)-> (well_orders(A,relation_field(A))<->well_ordering(A))).
% 5.97/6.05  all A B C (subset(A,B)&subset(C,B)->subset(set_union2(A,C),B)).
% 5.97/6.05  all A B C (singleton(A)=unordered_pair(B,C)->A=B).
% 5.97/6.05  all A B (relation(B)->relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A)).
% 5.97/6.05  all A B (in(A,B)->subset(A,union(B))).
% 5.97/6.05  all A B (relation(B)->relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B)).
% 5.97/6.05  all A B (relation(B)->subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B))).
% 5.97/6.05  all A (union(powerset(A))=A).
% 5.97/6.05  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))).
% 5.97/6.05  all A exists B (in(A,B)& (all C D (in(C,B)&subset(D,C)->in(D,B)))& (all C (-(in(C,B)& (all D (-(in(D,B)& (all E (subset(E,C)->in(E,D)))))))))& (all C (-(subset(C,B)& -are_e_quipotent(C,B)& -in(C,B))))).
% 5.97/6.05  all A B C (singleton(A)=unordered_pair(B,C)->B=C).
% 5.97/6.05  end_of_list.
% 5.97/6.05  
% 5.97/6.05  -------> usable clausifies to:
% 5.97/6.05  
% 5.97/6.05  list(usable).
% 5.97/6.05  0 [] A=A.
% 5.97/6.05  0 [] -in(A,B)| -in(B,A).
% 5.97/6.05  0 [] -proper_subset(A,B)| -proper_subset(B,A).
% 5.97/6.05  0 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 5.97/6.05  0 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 5.97/6.05  0 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 5.97/6.05  0 [] -empty(A)|finite(A).
% 5.97/6.05  0 [] -empty(A)|function(A).
% 5.97/6.05  0 [] -ordinal(A)|epsilon_transitive(A).
% 5.97/6.05  0 [] -ordinal(A)|epsilon_connected(A).
% 5.97/6.05  0 [] -empty(A)|relation(A).
% 5.97/6.05  0 [] -element(C,powerset(cartesian_product2(A,B)))|relation(C).
% 5.97/6.05  0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 5.97/6.05  0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 5.97/6.05  0 [] -empty(A)| -ordinal(A)|natural(A).
% 5.97/6.05  0 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 5.97/6.05  0 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 5.97/6.06  0 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 5.97/6.06  0 [] -element(A,omega)|epsilon_transitive(A).
% 5.97/6.06  0 [] -element(A,omega)|epsilon_connected(A).
% 5.97/6.06  0 [] -element(A,omega)|ordinal(A).
% 5.97/6.06  0 [] -element(A,omega)|natural(A).
% 5.97/6.06  0 [] -empty(A)|epsilon_transitive(A).
% 5.97/6.06  0 [] -empty(A)|epsilon_connected(A).
% 5.97/6.06  0 [] -empty(A)|ordinal(A).
% 5.97/6.06  0 [] unordered_pair(A,B)=unordered_pair(B,A).
% 5.97/6.06  0 [] set_union2(A,B)=set_union2(B,A).
% 5.97/6.06  0 [] set_intersection2(A,B)=set_intersection2(B,A).
% 5.97/6.06  0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 5.97/6.06  0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|in(C,A).
% 5.97/6.06  0 [] -relation(B)|B!=identity_relation(A)| -in(ordered_pair(C,D),B)|C=D.
% 5.97/6.06  0 [] -relation(B)|B!=identity_relation(A)|in(ordered_pair(C,D),B)| -in(C,A)|C!=D.
% 5.97/6.06  0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|in($f2(A,B),A).
% 5.97/6.06  0 [] -relation(B)|B=identity_relation(A)|in(ordered_pair($f2(A,B),$f1(A,B)),B)|$f2(A,B)=$f1(A,B).
% 5.97/6.06  0 [] -relation(B)|B=identity_relation(A)| -in(ordered_pair($f2(A,B),$f1(A,B)),B)| -in($f2(A,B),A)|$f2(A,B)!=$f1(A,B).
% 5.97/6.06  0 [] A!=B|subset(A,B).
% 5.97/6.06  0 [] A!=B|subset(B,A).
% 5.97/6.06  0 [] A=B| -subset(A,B)| -subset(B,A).
% 5.97/6.06  0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(D,B).
% 5.97/6.06  0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),A).
% 5.97/6.06  0 [] -relation(A)| -relation(C)|C!=relation_dom_restriction(A,B)|in(ordered_pair(D,E),C)| -in(D,B)| -in(ordered_pair(D,E),A).
% 5.97/6.06  0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in($f4(A,B,C),B).
% 5.97/6.06  0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)|in(ordered_pair($f4(A,B,C),$f3(A,B,C)),A).
% 5.97/6.06  0 [] -relation(A)| -relation(C)|C=relation_dom_restriction(A,B)| -in(ordered_pair($f4(A,B,C),$f3(A,B,C)),C)| -in($f4(A,B,C),B)| -in(ordered_pair($f4(A,B,C),$f3(A,B,C)),A).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|in($f5(A,B,C,D),B).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)| -in(D,C)|D=apply(A,$f5(A,B,C,D)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C!=relation_image(A,B)|in(D,C)| -in(E,relation_dom(A))| -in(E,B)|D!=apply(A,E).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|in($f6(A,B,C),B).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C=relation_image(A,B)|in($f7(A,B,C),C)|$f7(A,B,C)=apply(A,$f6(A,B,C)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C=relation_image(A,B)| -in($f7(A,B,C),C)| -in(X1,relation_dom(A))| -in(X1,B)|$f7(A,B,C)!=apply(A,X1).
% 5.97/6.06  0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(E,A).
% 5.97/6.06  0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,E),B).
% 5.97/6.06  0 [] -relation(B)| -relation(C)|C!=relation_rng_restriction(A,B)|in(ordered_pair(D,E),C)| -in(E,A)| -in(ordered_pair(D,E),B).
% 5.97/6.06  0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in($f8(A,B,C),A).
% 5.97/6.06  0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)|in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 5.97/6.06  0 [] -relation(B)| -relation(C)|C=relation_rng_restriction(A,B)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),C)| -in($f8(A,B,C),A)| -in(ordered_pair($f9(A,B,C),$f8(A,B,C)),B).
% 5.97/6.06  0 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 5.97/6.06  0 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(D,relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(apply(A,D),B).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(D,relation_dom(A))| -in(apply(A,D),B).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in($f10(A,B,C),relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)|in($f10(A,B,C),C)|in(apply(A,$f10(A,B,C)),B).
% 5.97/6.06  0 [] -relation(A)| -function(A)|C=relation_inverse_image(A,B)| -in($f10(A,B,C),C)| -in($f10(A,B,C),relation_dom(A))| -in(apply(A,$f10(A,B,C)),B).
% 5.97/6.06  0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in(ordered_pair($f11(A,B,C,D),D),A).
% 5.97/6.06  0 [] -relation(A)|C!=relation_image(A,B)| -in(D,C)|in($f11(A,B,C,D),B).
% 5.97/6.06  0 [] -relation(A)|C!=relation_image(A,B)|in(D,C)| -in(ordered_pair(E,D),A)| -in(E,B).
% 5.97/6.06  0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in(ordered_pair($f12(A,B,C),$f13(A,B,C)),A).
% 5.97/6.06  0 [] -relation(A)|C=relation_image(A,B)|in($f13(A,B,C),C)|in($f12(A,B,C),B).
% 5.97/6.06  0 [] -relation(A)|C=relation_image(A,B)| -in($f13(A,B,C),C)| -in(ordered_pair(X2,$f13(A,B,C)),A)| -in(X2,B).
% 5.97/6.06  0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in(ordered_pair(D,$f14(A,B,C,D)),A).
% 5.97/6.06  0 [] -relation(A)|C!=relation_inverse_image(A,B)| -in(D,C)|in($f14(A,B,C,D),B).
% 5.97/6.06  0 [] -relation(A)|C!=relation_inverse_image(A,B)|in(D,C)| -in(ordered_pair(D,E),A)| -in(E,B).
% 5.97/6.06  0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in(ordered_pair($f16(A,B,C),$f15(A,B,C)),A).
% 5.97/6.06  0 [] -relation(A)|C=relation_inverse_image(A,B)|in($f16(A,B,C),C)|in($f15(A,B,C),B).
% 5.97/6.06  0 [] -relation(A)|C=relation_inverse_image(A,B)| -in($f16(A,B,C),C)| -in(ordered_pair($f16(A,B,C),X3),A)| -in(X3,B).
% 5.97/6.06  0 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 5.97/6.06  0 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 5.97/6.06  0 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 5.97/6.06  0 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 5.97/6.06  0 [] D!=unordered_triple(A,B,C)| -in(E,D)|E=A|E=B|E=C.
% 5.97/6.06  0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=A.
% 5.97/6.06  0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=B.
% 5.97/6.06  0 [] D!=unordered_triple(A,B,C)|in(E,D)|E!=C.
% 5.97/6.06  0 [] D=unordered_triple(A,B,C)|in($f17(A,B,C,D),D)|$f17(A,B,C,D)=A|$f17(A,B,C,D)=B|$f17(A,B,C,D)=C.
% 5.97/6.06  0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=A.
% 5.97/6.06  0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=B.
% 5.97/6.06  0 [] D=unordered_triple(A,B,C)| -in($f17(A,B,C,D),D)|$f17(A,B,C,D)!=C.
% 5.97/6.06  0 [] -finite(A)|relation($f18(A)).
% 5.97/6.06  0 [] -finite(A)|function($f18(A)).
% 5.97/6.06  0 [] -finite(A)|relation_rng($f18(A))=A.
% 5.97/6.06  0 [] -finite(A)|in(relation_dom($f18(A)),omega).
% 5.97/6.06  0 [] finite(A)| -relation(B)| -function(B)|relation_rng(B)!=A| -in(relation_dom(B),omega).
% 5.97/6.06  0 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 5.97/6.06  0 [] function(A)|in(ordered_pair($f21(A),$f20(A)),A).
% 5.97/6.06  0 [] function(A)|in(ordered_pair($f21(A),$f19(A)),A).
% 5.97/6.06  0 [] function(A)|$f20(A)!=$f19(A).
% 5.97/6.06  0 [] -relation_of2_as_subset(C,A,B)|B=empty_set| -quasi_total(C,A,B)|A=relation_dom_as_subset(A,B,C).
% 5.97/6.06  0 [] -relation_of2_as_subset(C,A,B)|B=empty_set|quasi_total(C,A,B)|A!=relation_dom_as_subset(A,B,C).
% 5.97/6.06  0 [] -relation_of2_as_subset(C,A,B)|A!=empty_set| -quasi_total(C,A,B)|A=relation_dom_as_subset(A,B,C).
% 5.97/6.06  0 [] -relation_of2_as_subset(C,A,B)|A!=empty_set|quasi_total(C,A,B)|A!=relation_dom_as_subset(A,B,C).
% 5.97/6.06  0 [] -relation_of2_as_subset(C,A,B)|B!=empty_set|A=empty_set| -quasi_total(C,A,B)|C=empty_set.
% 5.97/6.06  0 [] -relation_of2_as_subset(C,A,B)|B!=empty_set|A=empty_set|quasi_total(C,A,B)|C!=empty_set.
% 5.97/6.06  0 [] A!=ordered_pair(B,C)|X4!=pair_first(A)|A!=ordered_pair(X5,D)|X4=X5.
% 5.97/6.06  0 [] A!=ordered_pair(B,C)|X4=pair_first(A)|A=ordered_pair($f23(A,X4),$f22(A,X4)).
% 5.97/6.06  0 [] A!=ordered_pair(B,C)|X4=pair_first(A)|X4!=$f23(A,X4).
% 5.97/6.06  0 [] succ(A)=set_union2(A,singleton(A)).
% 5.97/6.06  0 [] -relation(A)| -in(B,A)|B=ordered_pair($f25(A,B),$f24(A,B)).
% 5.97/6.06  0 [] relation(A)|in($f26(A),A).
% 5.97/6.06  0 [] relation(A)|$f26(A)!=ordered_pair(C,D).
% 5.97/6.06  0 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 5.97/6.06  0 [] -relation(A)|is_reflexive_in(A,B)|in($f27(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f27(A,B),$f27(A,B)),A).
% 5.97/6.06  0 [] -relation_of2(C,A,B)|subset(C,cartesian_product2(A,B)).
% 5.97/6.06  0 [] relation_of2(C,A,B)| -subset(C,cartesian_product2(A,B)).
% 5.97/6.06  0 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 5.97/6.06  0 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f28(A,B,C),A).
% 5.97/6.06  0 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f28(A,B,C)).
% 5.97/6.06  0 [] A=empty_set|B=set_meet(A)|in($f30(A,B),B)| -in(X6,A)|in($f30(A,B),X6).
% 5.97/6.06  0 [] A=empty_set|B=set_meet(A)| -in($f30(A,B),B)|in($f29(A,B),A).
% 5.97/6.06  0 [] A=empty_set|B=set_meet(A)| -in($f30(A,B),B)| -in($f30(A,B),$f29(A,B)).
% 5.97/6.06  0 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 5.97/6.06  0 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 5.97/6.06  0 [] B!=singleton(A)| -in(C,B)|C=A.
% 5.97/6.06  0 [] B!=singleton(A)|in(C,B)|C!=A.
% 5.97/6.06  0 [] B=singleton(A)|in($f31(A,B),B)|$f31(A,B)=A.
% 5.97/6.06  0 [] B=singleton(A)| -in($f31(A,B),B)|$f31(A,B)!=A.
% 5.97/6.06  0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|D!=B.
% 5.97/6.06  0 [] -relation(A)|C!=fiber(A,B)| -in(D,C)|in(ordered_pair(D,B),A).
% 5.97/6.06  0 [] -relation(A)|C!=fiber(A,B)|in(D,C)|D=B| -in(ordered_pair(D,B),A).
% 5.97/6.06  0 [] -relation(A)|C=fiber(A,B)|in($f32(A,B,C),C)|$f32(A,B,C)!=B.
% 5.97/6.06  0 [] -relation(A)|C=fiber(A,B)|in($f32(A,B,C),C)|in(ordered_pair($f32(A,B,C),B),A).
% 5.97/6.06  0 [] -relation(A)|C=fiber(A,B)| -in($f32(A,B,C),C)|$f32(A,B,C)=B| -in(ordered_pair($f32(A,B,C),B),A).
% 5.97/6.06  0 [] -relation(B)|B!=inclusion_relation(A)|relation_field(B)=A.
% 5.97/6.06  0 [] -relation(B)|B!=inclusion_relation(A)| -in(C,A)| -in(D,A)| -in(ordered_pair(C,D),B)|subset(C,D).
% 5.97/6.06  0 [] -relation(B)|B!=inclusion_relation(A)| -in(C,A)| -in(D,A)|in(ordered_pair(C,D),B)| -subset(C,D).
% 5.97/6.06  0 [] -relation(B)|B=inclusion_relation(A)|relation_field(B)!=A|in($f34(A,B),A).
% 5.97/6.06  0 [] -relation(B)|B=inclusion_relation(A)|relation_field(B)!=A|in($f33(A,B),A).
% 5.97/6.06  0 [] -relation(B)|B=inclusion_relation(A)|relation_field(B)!=A|in(ordered_pair($f34(A,B),$f33(A,B)),B)|subset($f34(A,B),$f33(A,B)).
% 5.97/6.06  0 [] -relation(B)|B=inclusion_relation(A)|relation_field(B)!=A| -in(ordered_pair($f34(A,B),$f33(A,B)),B)| -subset($f34(A,B),$f33(A,B)).
% 5.97/6.06  0 [] A!=empty_set| -in(B,A).
% 5.97/6.06  0 [] A=empty_set|in($f35(A),A).
% 5.97/6.06  0 [] B!=powerset(A)| -in(C,B)|subset(C,A).
% 5.97/6.06  0 [] B!=powerset(A)|in(C,B)| -subset(C,A).
% 5.97/6.06  0 [] B=powerset(A)|in($f36(A,B),B)|subset($f36(A,B),A).
% 5.97/6.06  0 [] B=powerset(A)| -in($f36(A,B),B)| -subset($f36(A,B),A).
% 5.97/6.06  0 [] A!=ordered_pair(B,C)|X7!=pair_second(A)|A!=ordered_pair(X8,D)|X7=D.
% 5.97/6.06  0 [] A!=ordered_pair(B,C)|X7=pair_second(A)|A=ordered_pair($f38(A,X7),$f37(A,X7)).
% 5.97/6.06  0 [] A!=ordered_pair(B,C)|X7=pair_second(A)|X7!=$f37(A,X7).
% 5.97/6.06  0 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 5.97/6.06  0 [] epsilon_transitive(A)|in($f39(A),A).
% 5.97/6.06  0 [] epsilon_transitive(A)| -subset($f39(A),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f41(A,B),$f40(A,B)),A)|in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f41(A,B),$f40(A,B)),A)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 5.97/6.06  0 [] empty(A)| -element(B,A)|in(B,A).
% 5.97/6.06  0 [] empty(A)|element(B,A)| -in(B,A).
% 5.97/6.06  0 [] -empty(A)| -element(B,A)|empty(B).
% 5.97/6.06  0 [] -empty(A)|element(B,A)| -empty(B).
% 5.97/6.06  0 [] C!=unordered_pair(A,B)| -in(D,C)|D=A|D=B.
% 5.97/6.06  0 [] C!=unordered_pair(A,B)|in(D,C)|D!=A.
% 5.97/6.06  0 [] C!=unordered_pair(A,B)|in(D,C)|D!=B.
% 5.97/6.06  0 [] C=unordered_pair(A,B)|in($f42(A,B,C),C)|$f42(A,B,C)=A|$f42(A,B,C)=B.
% 5.97/6.06  0 [] C=unordered_pair(A,B)| -in($f42(A,B,C),C)|$f42(A,B,C)!=A.
% 5.97/6.06  0 [] C=unordered_pair(A,B)| -in($f42(A,B,C),C)|$f42(A,B,C)!=B.
% 5.97/6.06  0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f43(A,B),B).
% 5.97/6.06  0 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f43(A,B)),B).
% 5.97/6.06  0 [] -relation(A)|well_founded_relation(A)|subset($f44(A),relation_field(A)).
% 5.97/6.06  0 [] -relation(A)|well_founded_relation(A)|$f44(A)!=empty_set.
% 5.97/6.06  0 [] -relation(A)|well_founded_relation(A)| -in(C,$f44(A))| -disjoint(fiber(A,C),$f44(A)).
% 5.97/6.06  0 [] C!=set_union2(A,B)| -in(D,C)|in(D,A)|in(D,B).
% 5.97/6.06  0 [] C!=set_union2(A,B)|in(D,C)| -in(D,A).
% 5.97/6.06  0 [] C!=set_union2(A,B)|in(D,C)| -in(D,B).
% 5.97/6.06  0 [] C=set_union2(A,B)|in($f45(A,B,C),C)|in($f45(A,B,C),A)|in($f45(A,B,C),B).
% 5.97/6.06  0 [] C=set_union2(A,B)| -in($f45(A,B,C),C)| -in($f45(A,B,C),A).
% 5.97/6.06  0 [] C=set_union2(A,B)| -in($f45(A,B,C),C)| -in($f45(A,B,C),B).
% 5.97/6.06  0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f47(A,B,C,D),A).
% 5.97/6.06  0 [] C!=cartesian_product2(A,B)| -in(D,C)|in($f46(A,B,C,D),B).
% 5.97/6.06  0 [] C!=cartesian_product2(A,B)| -in(D,C)|D=ordered_pair($f47(A,B,C,D),$f46(A,B,C,D)).
% 5.97/6.06  0 [] C!=cartesian_product2(A,B)|in(D,C)| -in(E,A)| -in(F,B)|D!=ordered_pair(E,F).
% 5.97/6.06  0 [] C=cartesian_product2(A,B)|in($f50(A,B,C),C)|in($f49(A,B,C),A).
% 5.97/6.06  0 [] C=cartesian_product2(A,B)|in($f50(A,B,C),C)|in($f48(A,B,C),B).
% 5.97/6.06  0 [] C=cartesian_product2(A,B)|in($f50(A,B,C),C)|$f50(A,B,C)=ordered_pair($f49(A,B,C),$f48(A,B,C)).
% 5.97/6.06  0 [] C=cartesian_product2(A,B)| -in($f50(A,B,C),C)| -in(X9,A)| -in(X10,B)|$f50(A,B,C)!=ordered_pair(X9,X10).
% 5.97/6.06  0 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 5.97/6.06  0 [] epsilon_connected(A)|in($f52(A),A).
% 5.97/6.06  0 [] epsilon_connected(A)|in($f51(A),A).
% 5.97/6.06  0 [] epsilon_connected(A)| -in($f52(A),$f51(A)).
% 5.97/6.06  0 [] epsilon_connected(A)|$f52(A)!=$f51(A).
% 5.97/6.06  0 [] epsilon_connected(A)| -in($f51(A),$f52(A)).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f54(A,B),$f53(A,B)),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f54(A,B),$f53(A,B)),B).
% 5.97/6.06  0 [] -subset(A,B)| -in(C,A)|in(C,B).
% 5.97/6.06  0 [] subset(A,B)|in($f55(A,B),A).
% 5.97/6.06  0 [] subset(A,B)| -in($f55(A,B),B).
% 5.97/6.06  0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f56(A,B,C),C).
% 5.97/6.06  0 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f56(A,B,C)),C).
% 5.97/6.06  0 [] -relation(A)|is_well_founded_in(A,B)|subset($f57(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_well_founded_in(A,B)|$f57(A,B)!=empty_set.
% 5.97/6.06  0 [] -relation(A)|is_well_founded_in(A,B)| -in(D,$f57(A,B))| -disjoint(fiber(A,D),$f57(A,B)).
% 5.97/6.06  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,A).
% 5.97/6.06  0 [] C!=set_intersection2(A,B)| -in(D,C)|in(D,B).
% 5.97/6.06  0 [] C!=set_intersection2(A,B)|in(D,C)| -in(D,A)| -in(D,B).
% 5.97/6.06  0 [] C=set_intersection2(A,B)|in($f58(A,B,C),C)|in($f58(A,B,C),A).
% 5.97/6.06  0 [] C=set_intersection2(A,B)|in($f58(A,B,C),C)|in($f58(A,B,C),B).
% 5.97/6.06  0 [] C=set_intersection2(A,B)| -in($f58(A,B,C),C)| -in($f58(A,B,C),A)| -in($f58(A,B,C),B).
% 5.97/6.06  0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 5.97/6.06  0 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 5.97/6.06  0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 5.97/6.06  0 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 5.97/6.06  0 [] -ordinal(A)|epsilon_transitive(A).
% 5.97/6.06  0 [] -ordinal(A)|epsilon_connected(A).
% 5.97/6.06  0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 5.97/6.06  0 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f59(A,B,C)),A).
% 5.97/6.06  0 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 5.97/6.06  0 [] -relation(A)|B=relation_dom(A)|in($f61(A,B),B)|in(ordered_pair($f61(A,B),$f60(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|B=relation_dom(A)| -in($f61(A,B),B)| -in(ordered_pair($f61(A,B),X11),A).
% 5.97/6.06  0 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 5.97/6.06  0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f63(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_antisymmetric_in(A,B)|in($f62(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f63(A,B),$f62(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f62(A,B),$f63(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|is_antisymmetric_in(A,B)|$f63(A,B)!=$f62(A,B).
% 5.97/6.06  0 [] cast_to_subset(A)=A.
% 5.97/6.06  0 [] B!=union(A)| -in(C,B)|in(C,$f64(A,B,C)).
% 5.97/6.06  0 [] B!=union(A)| -in(C,B)|in($f64(A,B,C),A).
% 5.97/6.06  0 [] B!=union(A)|in(C,B)| -in(C,D)| -in(D,A).
% 5.97/6.06  0 [] B=union(A)|in($f66(A,B),B)|in($f66(A,B),$f65(A,B)).
% 5.97/6.06  0 [] B=union(A)|in($f66(A,B),B)|in($f65(A,B),A).
% 5.97/6.06  0 [] B=union(A)| -in($f66(A,B),B)| -in($f66(A,B),X12)| -in(X12,A).
% 5.97/6.06  0 [] -relation(A)| -well_ordering(A)|reflexive(A).
% 5.97/6.06  0 [] -relation(A)| -well_ordering(A)|transitive(A).
% 5.97/6.06  0 [] -relation(A)| -well_ordering(A)|antisymmetric(A).
% 5.97/6.06  0 [] -relation(A)| -well_ordering(A)|connected(A).
% 5.97/6.06  0 [] -relation(A)| -well_ordering(A)|well_founded_relation(A).
% 5.97/6.06  0 [] -relation(A)|well_ordering(A)| -reflexive(A)| -transitive(A)| -antisymmetric(A)| -connected(A)| -well_founded_relation(A).
% 5.97/6.06  0 [] -e_quipotent(A,B)|relation($f67(A,B)).
% 5.97/6.06  0 [] -e_quipotent(A,B)|function($f67(A,B)).
% 5.97/6.06  0 [] -e_quipotent(A,B)|one_to_one($f67(A,B)).
% 5.97/6.06  0 [] -e_quipotent(A,B)|relation_dom($f67(A,B))=A.
% 5.97/6.06  0 [] -e_quipotent(A,B)|relation_rng($f67(A,B))=B.
% 5.97/6.06  0 [] e_quipotent(A,B)| -relation(C)| -function(C)| -one_to_one(C)|relation_dom(C)!=A|relation_rng(C)!=B.
% 5.97/6.06  0 [] C!=set_difference(A,B)| -in(D,C)|in(D,A).
% 5.97/6.06  0 [] C!=set_difference(A,B)| -in(D,C)| -in(D,B).
% 5.97/6.06  0 [] C!=set_difference(A,B)|in(D,C)| -in(D,A)|in(D,B).
% 5.97/6.06  0 [] C=set_difference(A,B)|in($f68(A,B,C),C)|in($f68(A,B,C),A).
% 5.97/6.06  0 [] C=set_difference(A,B)|in($f68(A,B,C),C)| -in($f68(A,B,C),B).
% 5.97/6.06  0 [] C=set_difference(A,B)| -in($f68(A,B,C),C)| -in($f68(A,B,C),A)|in($f68(A,B,C),B).
% 5.97/6.06  0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f69(A,B,C),relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|C=apply(A,$f69(A,B,C)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 5.97/6.06  0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f71(A,B),B)|in($f70(A,B),relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f71(A,B),B)|$f71(A,B)=apply(A,$f70(A,B)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f71(A,B),B)| -in(X13,relation_dom(A))|$f71(A,B)!=apply(A,X13).
% 5.97/6.06  0 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f72(A,B,C),C),A).
% 5.97/6.06  0 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 5.97/6.06  0 [] -relation(A)|B=relation_rng(A)|in($f74(A,B),B)|in(ordered_pair($f73(A,B),$f74(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|B=relation_rng(A)| -in($f74(A,B),B)| -in(ordered_pair(X14,$f74(A,B)),A).
% 5.97/6.06  0 [] -element(B,powerset(A))|subset_complement(A,B)=set_difference(A,B).
% 5.97/6.06  0 [] ordered_pair(A,B)=unordered_pair(unordered_pair(A,B),singleton(A)).
% 5.97/6.06  0 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 5.97/6.06  0 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 5.97/6.06  0 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 5.97/6.06  0 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 5.97/6.06  0 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 5.97/6.06  0 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 5.97/6.06  0 [] -being_limit_ordinal(A)|A=union(A).
% 5.97/6.06  0 [] being_limit_ordinal(A)|A!=union(A).
% 5.97/6.06  0 [] -relation(A)|relation_field(A)=set_union2(relation_dom(A),relation_rng(A)).
% 5.97/6.06  0 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 5.97/6.06  0 [] -relation(A)|is_connected_in(A,B)|in($f76(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_connected_in(A,B)|in($f75(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_connected_in(A,B)|$f76(A,B)!=$f75(A,B).
% 5.97/6.06  0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f76(A,B),$f75(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f75(A,B),$f76(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|relation_restriction(A,B)=set_intersection2(A,cartesian_product2(B,B)).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f78(A,B),$f77(A,B)),B)|in(ordered_pair($f77(A,B),$f78(A,B)),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f78(A,B),$f77(A,B)),B)| -in(ordered_pair($f77(A,B),$f78(A,B)),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_dom(C)=relation_field(A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_rng(C)=relation_field(B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|one_to_one(C).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(D,relation_field(A)).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(E,relation_field(A)).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(ordered_pair(apply(C,D),apply(C,E)),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|in(ordered_pair(D,E),A)| -in(D,relation_field(A))| -in(E,relation_field(A))| -in(ordered_pair(apply(C,D),apply(C,E)),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)|in($f80(A,B,C),relation_field(A)).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)|in($f79(A,B,C),relation_field(A)).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)|in(ordered_pair(apply(C,$f80(A,B,C)),apply(C,$f79(A,B,C))),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)| -in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)| -in($f80(A,B,C),relation_field(A))| -in($f79(A,B,C),relation_field(A))| -in(ordered_pair(apply(C,$f80(A,B,C)),apply(C,$f79(A,B,C))),B).
% 5.97/6.06  0 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 5.97/6.06  0 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 5.97/6.06  0 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 5.97/6.06  0 [] -relation(A)| -function(A)|one_to_one(A)|in($f82(A),relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|one_to_one(A)|in($f81(A),relation_dom(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f82(A))=apply(A,$f81(A)).
% 5.97/6.06  0 [] -relation(A)| -function(A)|one_to_one(A)|$f82(A)!=$f81(A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f83(A,B,C,D,E)),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f83(A,B,C,D,E),E),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f86(A,B,C),$f85(A,B,C)),C)|in(ordered_pair($f86(A,B,C),$f84(A,B,C)),A).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f86(A,B,C),$f85(A,B,C)),C)|in(ordered_pair($f84(A,B,C),$f85(A,B,C)),B).
% 5.97/6.06  0 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f86(A,B,C),$f85(A,B,C)),C)| -in(ordered_pair($f86(A,B,C),X15),A)| -in(ordered_pair(X15,$f85(A,B,C)),B).
% 5.97/6.06  0 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 5.97/6.06  0 [] -relation(A)|is_transitive_in(A,B)|in($f89(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_transitive_in(A,B)|in($f88(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_transitive_in(A,B)|in($f87(A,B),B).
% 5.97/6.06  0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f89(A,B),$f88(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f88(A,B),$f87(A,B)),A).
% 5.97/6.06  0 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f89(A,B),$f87(A,B)),A).
% 5.97/6.06  0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))| -in(D,C)|in(subset_complement(A,D),B).
% 5.97/6.06  0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C!=complements_of_subsets(A,B)| -element(D,powerset(A))|in(D,C)| -in(subset_complement(A,D),B).
% 5.97/6.06  0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|element($f90(A,B,C),powerset(A)).
% 5.97/6.06  0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)|in($f90(A,B,C),C)|in(subset_complement(A,$f90(A,B,C)),B).
% 6.02/6.06  0 [] -element(B,powerset(powerset(A)))| -element(C,powerset(powerset(A)))|C=complements_of_subsets(A,B)| -in($f90(A,B,C),C)| -in(subset_complement(A,$f90(A,B,C)),B).
% 6.02/6.06  0 [] -proper_subset(A,B)|subset(A,B).
% 6.02/6.06  0 [] -proper_subset(A,B)|A!=B.
% 6.02/6.06  0 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 6.02/6.06  0 [] -relation(A)| -function(A)| -one_to_one(A)|function_inverse(A)=relation_inverse(A).
% 6.02/6.06  0 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 6.02/6.06  0 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] relation(inclusion_relation(A)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 6.02/6.06  0 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] element(cast_to_subset(A),powerset(A)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] -relation(A)|relation(relation_restriction(A,B)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] -element(B,powerset(A))|element(subset_complement(A,B),powerset(A)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] -relation(A)|relation(relation_inverse(A)).
% 6.02/6.06  0 [] -relation_of2(C,A,B)|element(relation_dom_as_subset(A,B,C),powerset(A)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 6.02/6.06  0 [] -relation_of2(C,A,B)|element(relation_rng_as_subset(A,B,C),powerset(B)).
% 6.02/6.06  0 [] -element(B,powerset(powerset(A)))|element(union_of_subsets(A,B),powerset(A)).
% 6.02/6.06  0 [] relation(identity_relation(A)).
% 6.02/6.06  0 [] -element(B,powerset(powerset(A)))|element(meet_of_subsets(A,B),powerset(A)).
% 6.02/6.06  0 [] -element(B,powerset(A))| -element(C,powerset(A))|element(subset_difference(A,B,C),powerset(A)).
% 6.02/6.06  0 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 6.02/6.06  0 [] -element(B,powerset(powerset(A)))|element(complements_of_subsets(A,B),powerset(powerset(A))).
% 6.02/6.06  0 [] -relation(B)|relation(relation_rng_restriction(A,B)).
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] $T.
% 6.02/6.06  0 [] -relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))).
% 6.02/6.06  0 [] relation_of2($f91(A,B),A,B).
% 6.02/6.06  0 [] element($f92(A),A).
% 6.02/6.06  0 [] relation_of2_as_subset($f93(A,B),A,B).
% 6.02/6.06  0 [] -finite(B)|finite(set_intersection2(A,B)).
% 6.02/6.06  0 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 6.02/6.06  0 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 6.02/6.06  0 [] -finite(A)|finite(set_intersection2(A,B)).
% 6.02/6.06  0 [] -empty(A)|empty(relation_inverse(A)).
% 6.02/6.06  0 [] -empty(A)|relation(relation_inverse(A)).
% 6.02/6.06  0 [] empty(empty_set).
% 6.02/6.06  0 [] relation(empty_set).
% 6.02/6.06  0 [] relation_empty_yielding(empty_set).
% 6.02/6.06  0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 6.02/6.06  0 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 6.02/6.06  0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 6.02/6.06  0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 6.02/6.06  0 [] -empty(succ(A)).
% 6.02/6.06  0 [] epsilon_transitive(omega).
% 6.02/6.06  0 [] epsilon_connected(omega).
% 6.02/6.06  0 [] ordinal(omega).
% 6.02/6.06  0 [] -empty(omega).
% 6.02/6.06  0 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 6.02/6.06  0 [] -empty(powerset(A)).
% 6.02/6.06  0 [] empty(empty_set).
% 6.02/6.06  0 [] -empty(ordered_pair(A,B)).
% 6.02/6.06  0 [] relation(identity_relation(A)).
% 6.02/6.06  0 [] function(identity_relation(A)).
% 6.02/6.06  0 [] relation(empty_set).
% 6.02/6.06  0 [] relation_empty_yielding(empty_set).
% 6.02/6.06  0 [] function(empty_set).
% 6.02/6.06  0 [] one_to_one(empty_set).
% 6.02/6.06  0 [] empty(empty_set).
% 6.02/6.06  0 [] epsilon_transitive(empty_set).
% 6.02/6.06  0 [] epsilon_connected(empty_set).
% 6.02/6.06  0 [] ordinal(empty_set).
% 6.02/6.06  0 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 6.02/6.06  0 [] -empty(singleton(A)).
% 6.02/6.06  0 [] empty(A)| -empty(set_union2(A,B)).
% 6.02/6.06  0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 6.02/6.06  0 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 6.02/6.06  0 [] -ordinal(A)| -empty(succ(A)).
% 6.02/6.06  0 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 6.02/6.06  0 [] -ordinal(A)|epsilon_connected(succ(A)).
% 6.02/6.06  0 [] -ordinal(A)|ordinal(succ(A)).
% 6.02/6.06  0 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 6.02/6.06  0 [] -empty(unordered_pair(A,B)).
% 6.02/6.06  0 [] empty(A)| -empty(set_union2(B,A)).
% 6.02/6.06  0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 6.02/6.06  0 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 6.02/6.06  0 [] -ordinal(A)|epsilon_transitive(union(A)).
% 6.02/6.06  0 [] -ordinal(A)|epsilon_connected(union(A)).
% 6.02/6.06  0 [] -ordinal(A)|ordinal(union(A)).
% 6.02/6.06  0 [] empty(empty_set).
% 6.02/6.06  0 [] relation(empty_set).
% 6.02/6.06  0 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 6.02/6.06  0 [] -relation(B)| -function(B)|relation(relation_rng_restriction(A,B)).
% 6.02/6.06  0 [] -relation(B)| -function(B)|function(relation_rng_restriction(A,B)).
% 6.02/6.06  0 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 6.02/6.06  0 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 6.02/6.06  0 [] -empty(A)|empty(relation_dom(A)).
% 6.02/6.06  0 [] -empty(A)|relation(relation_dom(A)).
% 6.02/6.06  0 [] -empty(A)|empty(relation_rng(A)).
% 6.02/6.06  0 [] -empty(A)|relation(relation_rng(A)).
% 6.02/6.06  0 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 6.02/6.06  0 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 6.02/6.06  0 [] set_union2(A,A)=A.
% 6.02/6.06  0 [] set_intersection2(A,A)=A.
% 6.02/6.06  0 [] -element(B,powerset(A))|subset_complement(A,subset_complement(A,B))=B.
% 6.02/6.06  0 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 6.02/6.06  0 [] -element(B,powerset(powerset(A)))|complements_of_subsets(A,complements_of_subsets(A,B))=B.
% 6.02/6.06  0 [] -proper_subset(A,A).
% 6.02/6.06  0 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 6.02/6.06  0 [] -relation(A)|reflexive(A)|in($f94(A),relation_field(A)).
% 6.02/6.06  0 [] -relation(A)|reflexive(A)| -in(ordered_pair($f94(A),$f94(A)),A).
% 6.02/6.06  0 [] singleton(A)!=empty_set.
% 6.02/6.06  0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 6.02/6.06  0 [] -disjoint(singleton(A),B)| -in(A,B).
% 6.02/6.06  0 [] in(A,B)|disjoint(singleton(A),B).
% 6.02/6.06  0 [] -relation(B)|subset(relation_dom(relation_rng_restriction(A,B)),relation_dom(B)).
% 6.02/6.06  0 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 6.02/6.06  0 [] -relation(A)|transitive(A)|in(ordered_pair($f97(A),$f96(A)),A).
% 6.02/6.06  0 [] -relation(A)|transitive(A)|in(ordered_pair($f96(A),$f95(A)),A).
% 6.02/6.06  0 [] -relation(A)|transitive(A)| -in(ordered_pair($f97(A),$f95(A)),A).
% 6.02/6.06  0 [] -subset(singleton(A),B)|in(A,B).
% 6.02/6.06  0 [] subset(singleton(A),B)| -in(A,B).
% 6.02/6.06  0 [] -relation(B)| -well_ordering(B)| -e_quipotent(A,relation_field(B))|relation($f98(A,B)).
% 6.02/6.06  0 [] -relation(B)| -well_ordering(B)| -e_quipotent(A,relation_field(B))|well_orders($f98(A,B),A).
% 6.02/6.06  0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 6.02/6.06  0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 6.02/6.06  0 [] -element(B,powerset(A))| -in(C,B)|in(C,A).
% 6.02/6.06  0 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 6.02/6.06  0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f100(A),$f99(A)),A).
% 6.02/6.06  0 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f99(A),$f100(A)),A).
% 6.02/6.06  0 [] -relation(A)|antisymmetric(A)|$f100(A)!=$f99(A).
% 6.02/6.06  0 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 6.02/6.06  0 [] -relation(A)| -connected(A)| -in(B,relation_field(A))| -in(C,relation_field(A))|B=C|in(ordered_pair(B,C),A)|in(ordered_pair(C,B),A).
% 6.02/6.06  0 [] -relation(A)|connected(A)|in($f102(A),relation_field(A)).
% 6.02/6.06  0 [] -relation(A)|connected(A)|in($f101(A),relation_field(A)).
% 6.02/6.06  0 [] -relation(A)|connected(A)|$f102(A)!=$f101(A).
% 6.02/6.06  0 [] -relation(A)|connected(A)| -in(ordered_pair($f102(A),$f101(A)),A).
% 6.02/6.06  0 [] -relation(A)|connected(A)| -in(ordered_pair($f101(A),$f102(A)),A).
% 6.02/6.06  0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 6.02/6.06  0 [] subset(A,singleton(B))|A!=empty_set.
% 6.02/6.06  0 [] subset(A,singleton(B))|A!=singleton(B).
% 6.02/6.06  0 [] -in(A,B)|subset(A,union(B)).
% 6.02/6.06  0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 6.02/6.06  0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 6.02/6.06  0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 6.02/6.06  0 [] in($f103(A,B),A)|element(A,powerset(B)).
% 6.02/6.06  0 [] -in($f103(A,B),B)|element(A,powerset(B)).
% 6.02/6.06  0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,relation_dom(C)).
% 6.02/6.06  0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|in(B,A).
% 6.02/6.06  0 [] -relation(C)| -function(C)|in(B,relation_dom(relation_dom_restriction(C,A)))| -in(B,relation_dom(C))| -in(B,A).
% 6.02/6.06  0 [] -empty($c1).
% 6.02/6.06  0 [] epsilon_transitive($c1).
% 6.02/6.06  0 [] epsilon_connected($c1).
% 6.02/6.06  0 [] ordinal($c1).
% 6.02/6.07  0 [] natural($c1).
% 6.02/6.07  0 [] -empty($c2).
% 6.02/6.07  0 [] finite($c2).
% 6.02/6.07  0 [] relation($c3).
% 6.02/6.07  0 [] function($c3).
% 6.02/6.07  0 [] relation_of2($f104(A,B),A,B).
% 6.02/6.07  0 [] relation($f104(A,B)).
% 6.02/6.07  0 [] function($f104(A,B)).
% 6.02/6.07  0 [] quasi_total($f104(A,B),A,B).
% 6.02/6.07  0 [] epsilon_transitive($c4).
% 6.02/6.07  0 [] epsilon_connected($c4).
% 6.02/6.07  0 [] ordinal($c4).
% 6.02/6.07  0 [] relation($c5).
% 6.02/6.07  0 [] function($c5).
% 6.02/6.07  0 [] one_to_one($c5).
% 6.02/6.07  0 [] empty($c5).
% 6.02/6.07  0 [] empty($c6).
% 6.02/6.07  0 [] relation($c6).
% 6.02/6.07  0 [] empty(A)|element($f105(A),powerset(A)).
% 6.02/6.07  0 [] empty(A)| -empty($f105(A)).
% 6.02/6.07  0 [] empty($c7).
% 6.02/6.07  0 [] element($f106(A),powerset(A)).
% 6.02/6.07  0 [] empty($f106(A)).
% 6.02/6.07  0 [] relation($f106(A)).
% 6.02/6.07  0 [] function($f106(A)).
% 6.02/6.07  0 [] one_to_one($f106(A)).
% 6.02/6.07  0 [] epsilon_transitive($f106(A)).
% 6.02/6.07  0 [] epsilon_connected($f106(A)).
% 6.02/6.07  0 [] ordinal($f106(A)).
% 6.02/6.07  0 [] natural($f106(A)).
% 6.02/6.07  0 [] finite($f106(A)).
% 6.02/6.07  0 [] relation($c8).
% 6.02/6.07  0 [] empty($c8).
% 6.02/6.07  0 [] function($c8).
% 6.02/6.07  0 [] relation($c9).
% 6.02/6.07  0 [] function($c9).
% 6.02/6.07  0 [] one_to_one($c9).
% 6.02/6.07  0 [] empty($c9).
% 6.02/6.07  0 [] epsilon_transitive($c9).
% 6.02/6.07  0 [] epsilon_connected($c9).
% 6.02/6.07  0 [] ordinal($c9).
% 6.02/6.07  0 [] relation_of2($f107(A,B),A,B).
% 6.02/6.07  0 [] relation($f107(A,B)).
% 6.02/6.07  0 [] function($f107(A,B)).
% 6.02/6.07  0 [] -empty($c10).
% 6.02/6.07  0 [] relation($c10).
% 6.02/6.07  0 [] element($f108(A),powerset(A)).
% 6.02/6.07  0 [] empty($f108(A)).
% 6.02/6.07  0 [] -empty($c11).
% 6.02/6.07  0 [] empty(A)|element($f109(A),powerset(A)).
% 6.02/6.07  0 [] empty(A)| -empty($f109(A)).
% 6.02/6.07  0 [] empty(A)|finite($f109(A)).
% 6.02/6.07  0 [] relation($c12).
% 6.02/6.07  0 [] function($c12).
% 6.02/6.07  0 [] one_to_one($c12).
% 6.02/6.07  0 [] -empty($c13).
% 6.02/6.07  0 [] epsilon_transitive($c13).
% 6.02/6.07  0 [] epsilon_connected($c13).
% 6.02/6.07  0 [] ordinal($c13).
% 6.02/6.07  0 [] relation($c14).
% 6.02/6.07  0 [] relation_empty_yielding($c14).
% 6.02/6.07  0 [] relation($c15).
% 6.02/6.07  0 [] relation_empty_yielding($c15).
% 6.02/6.07  0 [] function($c15).
% 6.02/6.07  0 [] -relation_of2(C,A,B)|relation_dom_as_subset(A,B,C)=relation_dom(C).
% 6.02/6.07  0 [] -relation_of2(C,A,B)|relation_rng_as_subset(A,B,C)=relation_rng(C).
% 6.02/6.07  0 [] -element(B,powerset(powerset(A)))|union_of_subsets(A,B)=union(B).
% 6.02/6.07  0 [] -element(B,powerset(powerset(A)))|meet_of_subsets(A,B)=set_meet(B).
% 6.02/6.07  0 [] -element(B,powerset(A))| -element(C,powerset(A))|subset_difference(A,B,C)=set_difference(B,C).
% 6.02/6.07  0 [] -relation_of2_as_subset(C,A,B)|relation_of2(C,A,B).
% 6.02/6.07  0 [] relation_of2_as_subset(C,A,B)| -relation_of2(C,A,B).
% 6.02/6.07  0 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 6.02/6.07  0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 6.02/6.07  0 [] -e_quipotent(A,B)|are_e_quipotent(A,B).
% 6.02/6.07  0 [] e_quipotent(A,B)| -are_e_quipotent(A,B).
% 6.02/6.07  0 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,A).
% 6.02/6.07  0 [] subset(A,A).
% 6.02/6.07  0 [] e_quipotent(A,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f114(A,B),A)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f110(A,B))|in(ordered_pair($f113(A,B),G),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f111(A,B))|in(ordered_pair($f112(A,B),I),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|relation($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|function($f117(A,B)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(D,E),$f117(A,B))|D=$f115(A,B,D,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(D,E),$f117(A,B))| -in(K,$f115(A,B,D,E))|in(ordered_pair(E,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)|in($f116(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=J| -in(E,J)| -in(ordered_pair(E,$f116(A,B,D,E,J)),B).
% 6.02/6.07  0 [] in($f120(A),A)|relation($f121(A)).
% 6.02/6.07  0 [] in($f120(A),A)|function($f121(A)).
% 6.02/6.07  0 [] in($f120(A),A)| -in(ordered_pair(C,D),$f121(A))|in(C,A).
% 6.02/6.07  0 [] in($f120(A),A)| -in(ordered_pair(C,D),$f121(A))|D=singleton(C).
% 6.02/6.07  0 [] in($f120(A),A)|in(ordered_pair(C,D),$f121(A))| -in(C,A)|D!=singleton(C).
% 6.02/6.07  0 [] $f119(A)=singleton($f120(A))|relation($f121(A)).
% 6.02/6.07  0 [] $f119(A)=singleton($f120(A))|function($f121(A)).
% 6.02/6.07  0 [] $f119(A)=singleton($f120(A))| -in(ordered_pair(C,D),$f121(A))|in(C,A).
% 6.02/6.07  0 [] $f119(A)=singleton($f120(A))| -in(ordered_pair(C,D),$f121(A))|D=singleton(C).
% 6.02/6.07  0 [] $f119(A)=singleton($f120(A))|in(ordered_pair(C,D),$f121(A))| -in(C,A)|D!=singleton(C).
% 6.02/6.07  0 [] $f118(A)=singleton($f120(A))|relation($f121(A)).
% 6.02/6.07  0 [] $f118(A)=singleton($f120(A))|function($f121(A)).
% 6.02/6.07  0 [] $f118(A)=singleton($f120(A))| -in(ordered_pair(C,D),$f121(A))|in(C,A).
% 6.02/6.07  0 [] $f118(A)=singleton($f120(A))| -in(ordered_pair(C,D),$f121(A))|D=singleton(C).
% 6.02/6.07  0 [] $f118(A)=singleton($f120(A))|in(ordered_pair(C,D),$f121(A))| -in(C,A)|D!=singleton(C).
% 6.02/6.07  0 [] $f119(A)!=$f118(A)|relation($f121(A)).
% 6.02/6.07  0 [] $f119(A)!=$f118(A)|function($f121(A)).
% 6.02/6.07  0 [] $f119(A)!=$f118(A)| -in(ordered_pair(C,D),$f121(A))|in(C,A).
% 6.02/6.07  0 [] $f119(A)!=$f118(A)| -in(ordered_pair(C,D),$f121(A))|D=singleton(C).
% 6.02/6.07  0 [] $f119(A)!=$f118(A)|in(ordered_pair(C,D),$f121(A))| -in(C,A)|D!=singleton(C).
% 6.02/6.07  0 [] -ordinal(B)| -in(B,A)|ordinal($f122(A)).
% 6.02/6.07  0 [] -ordinal(B)| -in(B,A)|in($f122(A),A).
% 6.02/6.07  0 [] -ordinal(B)| -in(B,A)| -ordinal(C)| -in(C,A)|ordinal_subset($f122(A),C).
% 6.02/6.07  0 [] -relation(B)| -relation(C)| -function(C)|relation($f123(A,B,C)).
% 6.02/6.07  0 [] -relation(B)| -relation(C)| -function(C)| -in(ordered_pair(E,F),$f123(A,B,C))|in(E,A).
% 6.02/6.07  0 [] -relation(B)| -relation(C)| -function(C)| -in(ordered_pair(E,F),$f123(A,B,C))|in(F,A).
% 6.02/6.07  0 [] -relation(B)| -relation(C)| -function(C)| -in(ordered_pair(E,F),$f123(A,B,C))|in(ordered_pair(apply(C,E),apply(C,F)),B).
% 6.02/6.07  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(E,F),$f123(A,B,C))| -in(E,A)| -in(F,A)| -in(ordered_pair(apply(C,E),apply(C,F)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f128(A,B),A)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f128(A,B),A)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f124(A,B))|in(ordered_pair($f127(A,B),G),B)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f124(A,B))|in(ordered_pair($f127(A,B),G),B)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f124(A,B))|in(ordered_pair($f127(A,B),G),B)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f124(A,B))|in(ordered_pair($f127(A,B),G),B)| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f124(A,B))|in(ordered_pair($f127(A,B),G),B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(G,$f124(A,B))|in(ordered_pair($f127(A,B),G),B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f125(A,B))|in(ordered_pair($f126(A,B),I),B)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f125(A,B))|in(ordered_pair($f126(A,B),I),B)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f125(A,B))|in(ordered_pair($f126(A,B),I),B)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f125(A,B))|in(ordered_pair($f126(A,B),I),B)| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f125(A,B))|in(ordered_pair($f126(A,B),I),B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(I,$f125(A,B))|in(ordered_pair($f126(A,B),I),B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(D,$f132(A,B))| -in(K,$f129(A,B,D))|in(ordered_pair(D,K),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)|in($f131(A,B,D,E,J),J).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)|in(D,$f132(A,B))| -in(E,A)|E!=J| -in(D,J)| -in(ordered_pair(D,$f131(A,B,D,E,J)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f135(A,B,C),A)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)| -in(J,$f133(A,B,C))|in(ordered_pair($f134(A,B,C),J),B)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|in($f138(A,B,C),A)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.07  0 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(N,$f136(A,B,C))|in(ordered_pair($f137(A,B,C),N),B)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f145(A,B,C,E),cartesian_product2(A,C)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(E,$f147(A,B,C))|$f145(A,B,C,E)=E.
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(E,$f147(A,B,C))|ordered_pair($f144(A,B,C,E),$f143(A,B,C,E))=E.
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f144(A,B,C,E),A).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(E,$f147(A,B,C))|$f144(A,B,C,E)=$f142(A,B,C,E).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(E,$f147(A,B,C))|in($f143(A,B,C,E),$f142(A,B,C,E)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(E,$f147(A,B,C))| -in(R,$f142(A,B,C,E))|in(ordered_pair($f143(A,B,C,E),R),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)|in($f146(A,B,C,E,F,O,P,Q),Q).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)|in(E,$f147(A,B,C))| -in(F,cartesian_product2(A,C))|F!=E|ordered_pair(O,P)!=E| -in(O,A)|O!=Q| -in(P,Q)| -in(ordered_pair(P,$f146(A,B,C,E,F,O,P,Q)),B).
% 6.02/6.08  0 [] in($f150(A),A)| -in(C,$f152(A))|in($f151(A,C),A).
% 6.02/6.08  0 [] in($f150(A),A)| -in(C,$f152(A))|C=singleton($f151(A,C)).
% 6.02/6.08  0 [] in($f150(A),A)|in(C,$f152(A))| -in(D,A)|C!=singleton(D).
% 6.02/6.08  0 [] $f149(A)=singleton($f150(A))| -in(C,$f152(A))|in($f151(A,C),A).
% 6.02/6.08  0 [] $f149(A)=singleton($f150(A))| -in(C,$f152(A))|C=singleton($f151(A,C)).
% 6.02/6.08  0 [] $f149(A)=singleton($f150(A))|in(C,$f152(A))| -in(D,A)|C!=singleton(D).
% 6.02/6.08  0 [] $f148(A)=singleton($f150(A))| -in(C,$f152(A))|in($f151(A,C),A).
% 6.02/6.08  0 [] $f148(A)=singleton($f150(A))| -in(C,$f152(A))|C=singleton($f151(A,C)).
% 6.02/6.08  0 [] $f148(A)=singleton($f150(A))|in(C,$f152(A))| -in(D,A)|C!=singleton(D).
% 6.02/6.08  0 [] $f149(A)!=$f148(A)| -in(C,$f152(A))|in($f151(A,C),A).
% 6.02/6.08  0 [] $f149(A)!=$f148(A)| -in(C,$f152(A))|C=singleton($f151(A,C)).
% 6.02/6.08  0 [] $f149(A)!=$f148(A)|in(C,$f152(A))| -in(D,A)|C!=singleton(D).
% 6.02/6.08  0 [] $f159(A,B)=$f158(A,B)| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] $f159(A,B)=$f158(A,B)| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] $f159(A,B)=$f158(A,B)| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] $f159(A,B)=$f158(A,B)| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] $f159(A,B)=$f158(A,B)| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] $f159(A,B)=$f158(A,B)|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] in($f154(A,B),A)| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] in($f154(A,B),A)| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] in($f154(A,B),A)| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] in($f154(A,B),A)| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] in($f154(A,B),A)| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] in($f154(A,B),A)|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] $f153(A,B)=singleton($f154(A,B))| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] $f153(A,B)=singleton($f154(A,B))| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] $f153(A,B)=singleton($f154(A,B))| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] $f153(A,B)=singleton($f154(A,B))| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] $f153(A,B)=singleton($f154(A,B))| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] $f153(A,B)=singleton($f154(A,B))|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] $f159(A,B)=$f157(A,B)| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] $f159(A,B)=$f157(A,B)| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] $f159(A,B)=$f157(A,B)| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] $f159(A,B)=$f157(A,B)| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] $f159(A,B)=$f157(A,B)| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] $f159(A,B)=$f157(A,B)|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] in($f156(A,B),A)| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] in($f156(A,B),A)| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] in($f156(A,B),A)| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] in($f156(A,B),A)| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] in($f156(A,B),A)| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] in($f156(A,B),A)|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] $f155(A,B)=singleton($f156(A,B))| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] $f155(A,B)=singleton($f156(A,B))| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] $f155(A,B)=singleton($f156(A,B))| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] $f155(A,B)=singleton($f156(A,B))| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] $f155(A,B)=singleton($f156(A,B))| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] $f155(A,B)=singleton($f156(A,B))|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] $f158(A,B)!=$f157(A,B)| -in(D,$f163(A,B))|in($f162(A,B,D),cartesian_product2(A,B)).
% 6.02/6.08  0 [] $f158(A,B)!=$f157(A,B)| -in(D,$f163(A,B))|$f162(A,B,D)=D.
% 6.02/6.08  0 [] $f158(A,B)!=$f157(A,B)| -in(D,$f163(A,B))|ordered_pair($f161(A,B,D),$f160(A,B,D))=D.
% 6.02/6.08  0 [] $f158(A,B)!=$f157(A,B)| -in(D,$f163(A,B))|in($f161(A,B,D),A).
% 6.02/6.08  0 [] $f158(A,B)!=$f157(A,B)| -in(D,$f163(A,B))|$f160(A,B,D)=singleton($f161(A,B,D)).
% 6.02/6.08  0 [] $f158(A,B)!=$f157(A,B)|in(D,$f163(A,B))| -in(E,cartesian_product2(A,B))|E!=D|ordered_pair(J,K)!=D| -in(J,A)|K!=singleton(J).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f169(A,B,C)| -in(E,$f174(A,B,C))|in($f173(A,B,C,E),cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f169(A,B,C)| -in(E,$f174(A,B,C))|$f173(A,B,C,E)=E.
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f169(A,B,C)| -in(E,$f174(A,B,C))|E=ordered_pair($f172(A,B,C,E),$f171(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f169(A,B,C)| -in(E,$f174(A,B,C))|in(ordered_pair(apply(C,$f172(A,B,C,E)),apply(C,$f171(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f169(A,B,C)|in(E,$f174(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)=ordered_pair($f165(A,B,C),$f164(A,B,C))| -in(E,$f174(A,B,C))|in($f173(A,B,C,E),cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)=ordered_pair($f165(A,B,C),$f164(A,B,C))| -in(E,$f174(A,B,C))|$f173(A,B,C,E)=E.
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)=ordered_pair($f165(A,B,C),$f164(A,B,C))| -in(E,$f174(A,B,C))|E=ordered_pair($f172(A,B,C,E),$f171(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)=ordered_pair($f165(A,B,C),$f164(A,B,C))| -in(E,$f174(A,B,C))|in(ordered_pair(apply(C,$f172(A,B,C,E)),apply(C,$f171(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)=ordered_pair($f165(A,B,C),$f164(A,B,C))|in(E,$f174(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f165(A,B,C)),apply(C,$f164(A,B,C))),B)| -in(E,$f174(A,B,C))|in($f173(A,B,C,E),cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f165(A,B,C)),apply(C,$f164(A,B,C))),B)| -in(E,$f174(A,B,C))|$f173(A,B,C,E)=E.
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f165(A,B,C)),apply(C,$f164(A,B,C))),B)| -in(E,$f174(A,B,C))|E=ordered_pair($f172(A,B,C,E),$f171(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f165(A,B,C)),apply(C,$f164(A,B,C))),B)| -in(E,$f174(A,B,C))|in(ordered_pair(apply(C,$f172(A,B,C,E)),apply(C,$f171(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f165(A,B,C)),apply(C,$f164(A,B,C))),B)|in(E,$f174(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f168(A,B,C)| -in(E,$f174(A,B,C))|in($f173(A,B,C,E),cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f168(A,B,C)| -in(E,$f174(A,B,C))|$f173(A,B,C,E)=E.
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f168(A,B,C)| -in(E,$f174(A,B,C))|E=ordered_pair($f172(A,B,C,E),$f171(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f168(A,B,C)| -in(E,$f174(A,B,C))|in(ordered_pair(apply(C,$f172(A,B,C,E)),apply(C,$f171(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f170(A,B,C)=$f168(A,B,C)|in(E,$f174(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f168(A,B,C)=ordered_pair($f167(A,B,C),$f166(A,B,C))| -in(E,$f174(A,B,C))|in($f173(A,B,C,E),cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f168(A,B,C)=ordered_pair($f167(A,B,C),$f166(A,B,C))| -in(E,$f174(A,B,C))|$f173(A,B,C,E)=E.
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f168(A,B,C)=ordered_pair($f167(A,B,C),$f166(A,B,C))| -in(E,$f174(A,B,C))|E=ordered_pair($f172(A,B,C,E),$f171(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f168(A,B,C)=ordered_pair($f167(A,B,C),$f166(A,B,C))| -in(E,$f174(A,B,C))|in(ordered_pair(apply(C,$f172(A,B,C,E)),apply(C,$f171(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f168(A,B,C)=ordered_pair($f167(A,B,C),$f166(A,B,C))|in(E,$f174(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f167(A,B,C)),apply(C,$f166(A,B,C))),B)| -in(E,$f174(A,B,C))|in($f173(A,B,C,E),cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f167(A,B,C)),apply(C,$f166(A,B,C))),B)| -in(E,$f174(A,B,C))|$f173(A,B,C,E)=E.
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f167(A,B,C)),apply(C,$f166(A,B,C))),B)| -in(E,$f174(A,B,C))|E=ordered_pair($f172(A,B,C,E),$f171(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f167(A,B,C)),apply(C,$f166(A,B,C))),B)| -in(E,$f174(A,B,C))|in(ordered_pair(apply(C,$f172(A,B,C,E)),apply(C,$f171(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(ordered_pair(apply(C,$f167(A,B,C)),apply(C,$f166(A,B,C))),B)|in(E,$f174(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)!=$f168(A,B,C)| -in(E,$f174(A,B,C))|in($f173(A,B,C,E),cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)!=$f168(A,B,C)| -in(E,$f174(A,B,C))|$f173(A,B,C,E)=E.
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)!=$f168(A,B,C)| -in(E,$f174(A,B,C))|E=ordered_pair($f172(A,B,C,E),$f171(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)!=$f168(A,B,C)| -in(E,$f174(A,B,C))|in(ordered_pair(apply(C,$f172(A,B,C,E)),apply(C,$f171(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|$f169(A,B,C)!=$f168(A,B,C)|in(E,$f174(A,B,C))| -in(F,cartesian_product2(A,A))|F!=E|E!=ordered_pair(K,L)| -in(ordered_pair(apply(C,K),apply(C,L)),B).
% 6.02/6.08  0 [] $f177(A)=$f176(A)| -in(C,$f179(A))|in($f178(A,C),A).
% 6.02/6.08  0 [] $f177(A)=$f176(A)| -in(C,$f179(A))|$f178(A,C)=C.
% 6.02/6.08  0 [] $f177(A)=$f176(A)| -in(C,$f179(A))|ordinal(C).
% 6.02/6.08  0 [] $f177(A)=$f176(A)|in(C,$f179(A))| -in(D,A)|D!=C| -ordinal(C).
% 6.02/6.08  0 [] ordinal($f176(A))| -in(C,$f179(A))|in($f178(A,C),A).
% 6.02/6.08  0 [] ordinal($f176(A))| -in(C,$f179(A))|$f178(A,C)=C.
% 6.02/6.08  0 [] ordinal($f176(A))| -in(C,$f179(A))|ordinal(C).
% 6.02/6.08  0 [] ordinal($f176(A))|in(C,$f179(A))| -in(D,A)|D!=C| -ordinal(C).
% 6.02/6.08  0 [] $f177(A)=$f175(A)| -in(C,$f179(A))|in($f178(A,C),A).
% 6.02/6.08  0 [] $f177(A)=$f175(A)| -in(C,$f179(A))|$f178(A,C)=C.
% 6.02/6.08  0 [] $f177(A)=$f175(A)| -in(C,$f179(A))|ordinal(C).
% 6.02/6.08  0 [] $f177(A)=$f175(A)|in(C,$f179(A))| -in(D,A)|D!=C| -ordinal(C).
% 6.02/6.08  0 [] ordinal($f175(A))| -in(C,$f179(A))|in($f178(A,C),A).
% 6.02/6.08  0 [] ordinal($f175(A))| -in(C,$f179(A))|$f178(A,C)=C.
% 6.02/6.08  0 [] ordinal($f175(A))| -in(C,$f179(A))|ordinal(C).
% 6.02/6.08  0 [] ordinal($f175(A))|in(C,$f179(A))| -in(D,A)|D!=C| -ordinal(C).
% 6.02/6.08  0 [] $f176(A)!=$f175(A)| -in(C,$f179(A))|in($f178(A,C),A).
% 6.02/6.08  0 [] $f176(A)!=$f175(A)| -in(C,$f179(A))|$f178(A,C)=C.
% 6.02/6.08  0 [] $f176(A)!=$f175(A)| -in(C,$f179(A))|ordinal(C).
% 6.02/6.08  0 [] $f176(A)!=$f175(A)|in(C,$f179(A))| -in(D,A)|D!=C| -ordinal(C).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f183(A,B)| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f183(A,B)| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f183(A,B)| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f183(A,B)| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f183(A,B)| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f183(A,B)|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f180(A,B))| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f180(A,B))| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f180(A,B))| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f180(A,B))| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f180(A,B))| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f180(A,B))|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)=$f180(A,B)| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)=$f180(A,B)| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)=$f180(A,B)| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)=$f180(A,B)| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)=$f180(A,B)| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)=$f180(A,B)|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|in($f180(A,B),A)| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|in($f180(A,B),A)| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|in($f180(A,B),A)| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|in($f180(A,B),A)| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|in($f180(A,B),A)| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|in($f180(A,B),A)|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f182(A,B)| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f182(A,B)| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f182(A,B)| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f182(A,B)| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f182(A,B)| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|$f184(A,B)=$f182(A,B)|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f181(A,B))| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f181(A,B))| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f181(A,B))| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f181(A,B))| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f181(A,B))| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|ordinal($f181(A,B))|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|$f182(A,B)=$f181(A,B)| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|$f182(A,B)=$f181(A,B)| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|$f182(A,B)=$f181(A,B)| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|$f182(A,B)=$f181(A,B)| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|$f182(A,B)=$f181(A,B)| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|$f182(A,B)=$f181(A,B)|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|in($f181(A,B),A)| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|in($f181(A,B),A)| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|in($f181(A,B),A)| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|in($f181(A,B),A)| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|in($f181(A,B),A)| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|in($f181(A,B),A)|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)!=$f182(A,B)| -in(D,$f187(A,B))|in($f186(A,B,D),succ(B)).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)!=$f182(A,B)| -in(D,$f187(A,B))|$f186(A,B,D)=D.
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)!=$f182(A,B)| -in(D,$f187(A,B))|ordinal($f185(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)!=$f182(A,B)| -in(D,$f187(A,B))|D=$f185(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)!=$f182(A,B)| -in(D,$f187(A,B))|in($f185(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|$f183(A,B)!=$f182(A,B)|in(D,$f187(A,B))| -in(E,succ(B))|E!=D| -ordinal(H)|D!=H| -in(H,A).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(E,$f192(A,B,C))|in(E,cartesian_product2(A,C)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(E,$f192(A,B,C))|ordered_pair($f190(A,B,C,E),$f189(A,B,C,E))=E.
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(E,$f192(A,B,C))|in($f190(A,B,C,E),A).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(E,$f192(A,B,C))|$f190(A,B,C,E)=$f188(A,B,C,E).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(E,$f192(A,B,C))|in($f189(A,B,C,E),$f188(A,B,C,E)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(E,$f192(A,B,C))| -in(I,$f188(A,B,C,E))|in(ordered_pair($f189(A,B,C,E),I),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in(E,$f192(A,B,C))| -in(E,cartesian_product2(A,C))|ordered_pair(F,G)!=E| -in(F,A)|F!=H| -in(G,H)|in($f191(A,B,C,E,F,G,H),H).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in(E,$f192(A,B,C))| -in(E,cartesian_product2(A,C))|ordered_pair(F,G)!=E| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f191(A,B,C,E,F,G,H)),B).
% 6.02/6.08  0 [] -in(D,$f195(A,B))|in(D,cartesian_product2(A,B)).
% 6.02/6.08  0 [] -in(D,$f195(A,B))|ordered_pair($f194(A,B,D),$f193(A,B,D))=D.
% 6.02/6.08  0 [] -in(D,$f195(A,B))|in($f194(A,B,D),A).
% 6.02/6.08  0 [] -in(D,$f195(A,B))|$f193(A,B,D)=singleton($f194(A,B,D)).
% 6.02/6.08  0 [] in(D,$f195(A,B))| -in(D,cartesian_product2(A,B))|ordered_pair(E,F)!=D| -in(E,A)|F!=singleton(E).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)| -in(E,$f198(A,B,C))|in(E,cartesian_product2(A,A)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)| -in(E,$f198(A,B,C))|E=ordered_pair($f197(A,B,C,E),$f196(A,B,C,E)).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)| -in(E,$f198(A,B,C))|in(ordered_pair(apply(C,$f197(A,B,C,E)),apply(C,$f196(A,B,C,E))),B).
% 6.02/6.08  0 [] -relation(B)| -relation(C)| -function(C)|in(E,$f198(A,B,C))| -in(E,cartesian_product2(A,A))|E!=ordered_pair(F,G)| -in(ordered_pair(apply(C,F),apply(C,G)),B).
% 6.02/6.08  0 [] -in(C,$f199(A))|in(C,A).
% 6.02/6.08  0 [] -in(C,$f199(A))|ordinal(C).
% 6.02/6.08  0 [] in(C,$f199(A))| -in(C,A)| -ordinal(C).
% 6.02/6.08  0 [] -ordinal(B)| -in(D,$f201(A,B))|in(D,succ(B)).
% 6.02/6.08  0 [] -ordinal(B)| -in(D,$f201(A,B))|ordinal($f200(A,B,D)).
% 6.02/6.08  0 [] -ordinal(B)| -in(D,$f201(A,B))|D=$f200(A,B,D).
% 6.02/6.08  0 [] -ordinal(B)| -in(D,$f201(A,B))|in($f200(A,B,D),A).
% 6.02/6.08  0 [] -ordinal(B)|in(D,$f201(A,B))| -in(D,succ(B))| -ordinal(E)|D!=E| -in(E,A).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f206(A,B),A)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|$f206(A,B)=$f202(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)|in($f205(A,B),$f202(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.08  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(G,$f202(A,B))|in(ordered_pair($f205(A,B),G),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f206(A,B)=$f203(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|in($f204(A,B),$f203(A,B))|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)| -in(I,$f203(A,B))|in(ordered_pair($f204(A,B),I),B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|in($f208(A,B),A)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|in($f208(A,B),A)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|in($f208(A,B),A)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|in($f208(A,B),A)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|in($f208(A,B),A)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|in($f208(A,B),A)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)|in($f207(A,B,D,J),J)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|function($f210(A,B)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)|relation_dom($f210(A,B))=A.
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|X16=$f209(A,B,X16).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)|in(apply($f210(A,B),X16),$f209(A,B,X16)).
% 6.02/6.09  0 [] empty(A)| -relation(B)|$f205(A,B)!=$f204(A,B)|$f208(A,B)!=J| -in(D,J)| -in(ordered_pair(D,$f207(A,B,D,J)),B)| -in(X16,A)| -in(M,$f209(A,B,X16))|in(ordered_pair(apply($f210(A,B),X16),M),B).
% 6.02/6.09  0 [] in($f213(A),A)|in($f214(A),A)|relation($f215(A)).
% 6.02/6.09  0 [] in($f213(A),A)|in($f214(A),A)|function($f215(A)).
% 6.02/6.09  0 [] in($f213(A),A)|in($f214(A),A)|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] in($f213(A),A)|in($f214(A),A)| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] in($f213(A),A)|C!=singleton($f214(A))|relation($f215(A)).
% 6.02/6.09  0 [] in($f213(A),A)|C!=singleton($f214(A))|function($f215(A)).
% 6.02/6.09  0 [] in($f213(A),A)|C!=singleton($f214(A))|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] in($f213(A),A)|C!=singleton($f214(A))| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|in($f214(A),A)|relation($f215(A)).
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|in($f214(A),A)|function($f215(A)).
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|in($f214(A),A)|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|in($f214(A),A)| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|C!=singleton($f214(A))|relation($f215(A)).
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|C!=singleton($f214(A))|function($f215(A)).
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|C!=singleton($f214(A))|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] $f212(A)=singleton($f213(A))|C!=singleton($f214(A))| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|in($f214(A),A)|relation($f215(A)).
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|in($f214(A),A)|function($f215(A)).
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|in($f214(A),A)|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|in($f214(A),A)| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|C!=singleton($f214(A))|relation($f215(A)).
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|C!=singleton($f214(A))|function($f215(A)).
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|C!=singleton($f214(A))|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] $f211(A)=singleton($f213(A))|C!=singleton($f214(A))| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|in($f214(A),A)|relation($f215(A)).
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|in($f214(A),A)|function($f215(A)).
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|in($f214(A),A)|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|in($f214(A),A)| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|C!=singleton($f214(A))|relation($f215(A)).
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|C!=singleton($f214(A))|function($f215(A)).
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|C!=singleton($f214(A))|relation_dom($f215(A))=A.
% 6.02/6.09  0 [] $f212(A)!=$f211(A)|C!=singleton($f214(A))| -in(X17,A)|apply($f215(A),X17)=singleton(X17).
% 6.02/6.09  0 [] relation($f216(A)).
% 6.02/6.09  0 [] function($f216(A)).
% 6.02/6.09  0 [] relation_dom($f216(A))=A.
% 6.02/6.09  0 [] -in(C,A)|apply($f216(A),C)=singleton(C).
% 6.02/6.09  0 [] -disjoint(A,B)|disjoint(B,A).
% 6.02/6.09  0 [] -e_quipotent(A,B)|e_quipotent(B,A).
% 6.02/6.09  0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 6.02/6.09  0 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 6.02/6.09  0 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 6.02/6.09  0 [] in(A,succ(A)).
% 6.02/6.09  0 [] unordered_pair(A,B)!=unordered_pair(C,D)|A=C|A=D.
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,B).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_rng(relation_rng_restriction(B,C)))|in(A,relation_rng(C)).
% 6.02/6.09  0 [] -relation(C)|in(A,relation_rng(relation_rng_restriction(B,C)))| -in(A,B)| -in(A,relation_rng(C)).
% 6.02/6.09  0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),A).
% 6.02/6.09  0 [] -relation(B)|subset(relation_rng_restriction(A,B),B).
% 6.02/6.09  0 [] -relation(B)|subset(relation_rng(relation_rng_restriction(A,B)),relation_rng(B)).
% 6.02/6.09  0 [] -subset(A,B)|subset(cartesian_product2(A,C),cartesian_product2(B,C)).
% 6.02/6.09  0 [] -subset(A,B)|subset(cartesian_product2(C,A),cartesian_product2(C,B)).
% 6.02/6.09  0 [] -relation(B)|relation_rng(relation_rng_restriction(A,B))=set_intersection2(relation_rng(B),A).
% 6.02/6.09  0 [] -subset(A,B)| -subset(C,D)|subset(cartesian_product2(A,C),cartesian_product2(B,D)).
% 6.02/6.09  0 [] -relation_of2_as_subset(C,A,B)|subset(relation_dom(C),A).
% 6.02/6.09  0 [] -relation_of2_as_subset(C,A,B)|subset(relation_rng(C),B).
% 6.02/6.09  0 [] -subset(A,B)|set_union2(A,B)=B.
% 6.02/6.09  0 [] in(A,$f217(A)).
% 6.02/6.09  0 [] -in(C,$f217(A))| -subset(D,C)|in(D,$f217(A)).
% 6.02/6.09  0 [] -in(X18,$f217(A))|in(powerset(X18),$f217(A)).
% 6.02/6.09  0 [] -subset(X19,$f217(A))|are_e_quipotent(X19,$f217(A))|in(X19,$f217(A)).
% 6.02/6.09  0 [] -subset(A,B)| -finite(B)|finite(A).
% 6.02/6.09  0 [] -relation(C)|relation_dom_restriction(relation_rng_restriction(A,C),B)=relation_rng_restriction(A,relation_dom_restriction(C,B)).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_image(C,B))|in($f218(A,B,C),relation_dom(C)).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_image(C,B))|in(ordered_pair($f218(A,B,C),A),C).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_image(C,B))|in($f218(A,B,C),B).
% 6.02/6.09  0 [] -relation(C)|in(A,relation_image(C,B))| -in(D,relation_dom(C))| -in(ordered_pair(D,A),C)| -in(D,B).
% 6.02/6.09  0 [] -relation(B)|subset(relation_image(B,A),relation_rng(B)).
% 6.02/6.09  0 [] -relation(B)| -function(B)|subset(relation_image(B,relation_inverse_image(B,A)),A).
% 6.02/6.09  0 [] -relation(B)|relation_image(B,A)=relation_image(B,set_intersection2(relation_dom(B),A)).
% 6.02/6.09  0 [] -relation(B)| -subset(A,relation_dom(B))|subset(A,relation_inverse_image(B,relation_image(B,A))).
% 6.02/6.09  0 [] -relation(A)|relation_image(A,relation_dom(A))=relation_rng(A).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A.
% 6.02/6.09  0 [] -relation_of2_as_subset(D,C,A)| -subset(relation_rng(D),B)|relation_of2_as_subset(D,C,B).
% 6.02/6.09  0 [] -finite(A)|finite(set_intersection2(A,B)).
% 6.02/6.09  0 [] -relation(A)| -relation(B)|relation_rng(relation_composition(A,B))=relation_image(B,relation_rng(A)).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f219(A,B,C),relation_rng(C)).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in(ordered_pair(A,$f219(A,B,C)),C).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_inverse_image(C,B))|in($f219(A,B,C),B).
% 6.02/6.09  0 [] -relation(C)|in(A,relation_inverse_image(C,B))| -in(D,relation_rng(C))| -in(ordered_pair(A,D),C)| -in(D,B).
% 6.02/6.09  0 [] -relation(B)|subset(relation_inverse_image(B,A),relation_dom(B)).
% 6.02/6.09  0 [] -relation_of2_as_subset(D,C,A)| -subset(A,B)|relation_of2_as_subset(D,C,B).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_restriction(C,B))|in(A,C).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_restriction(C,B))|in(A,cartesian_product2(B,B)).
% 6.02/6.09  0 [] -relation(C)|in(A,relation_restriction(C,B))| -in(A,C)| -in(A,cartesian_product2(B,B)).
% 6.02/6.09  0 [] -relation(B)|A=empty_set| -subset(A,relation_rng(B))|relation_inverse_image(B,A)!=empty_set.
% 6.02/6.09  0 [] -relation(C)| -subset(A,B)|subset(relation_inverse_image(C,A),relation_inverse_image(C,B)).
% 6.02/6.09  0 [] relation($c16).
% 6.02/6.09  0 [] function($c16).
% 6.02/6.09  0 [] finite($c17).
% 6.02/6.09  0 [] -finite(relation_image($c16,$c17)).
% 6.02/6.09  0 [] -relation(B)|relation_restriction(B,A)=relation_dom_restriction(relation_rng_restriction(A,B),A).
% 6.02/6.09  0 [] subset(set_intersection2(A,B),A).
% 6.02/6.09  0 [] -relation(B)|relation_restriction(B,A)=relation_rng_restriction(A,relation_dom_restriction(B,A)).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_field(relation_restriction(C,B)))|in(A,relation_field(C)).
% 6.02/6.09  0 [] -relation(C)| -in(A,relation_field(relation_restriction(C,B)))|in(A,B).
% 6.02/6.09  0 [] -subset(A,B)| -subset(A,C)|subset(A,set_intersection2(B,C)).
% 6.02/6.09  0 [] set_union2(A,empty_set)=A.
% 6.02/6.09  0 [] -in(A,B)|element(A,B).
% 6.02/6.09  0 [] -subset(A,B)| -subset(B,C)|subset(A,C).
% 6.02/6.09  0 [] powerset(empty_set)=singleton(empty_set).
% 6.02/6.09  0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 6.02/6.09  0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_rng(C)).
% 6.02/6.09  0 [] -relation(B)|subset(relation_field(relation_restriction(B,A)),relation_field(B)).
% 6.02/6.09  0 [] -relation(B)|subset(relation_field(relation_restriction(B,A)),A).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(A,relation_dom(C)).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|in(apply(C,A),relation_dom(B)).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|in(A,relation_dom(relation_composition(C,B)))| -in(A,relation_dom(C))| -in(apply(C,A),relation_dom(B)).
% 6.02/6.09  0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)| -relation(E)| -function(E)| -in(C,A)|B=empty_set|apply(relation_composition(D,E),C)=apply(E,apply(D,C)).
% 6.02/6.09  0 [] -epsilon_transitive(A)| -ordinal(B)| -proper_subset(A,B)|in(A,B).
% 6.02/6.09  0 [] -relation(A)|subset(A,cartesian_product2(relation_dom(A),relation_rng(A))).
% 6.02/6.09  0 [] -relation(C)|subset(fiber(relation_restriction(C,A),B),fiber(C,B)).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(relation_composition(C,B)))|apply(relation_composition(C,B),A)=apply(B,apply(C,A)).
% 6.02/6.09  0 [] -relation_of2_as_subset(C,B,A)|in($f220(A,B,C),B)|relation_dom_as_subset(B,A,C)=B.
% 6.02/6.09  0 [] -relation_of2_as_subset(C,B,A)| -in(ordered_pair($f220(A,B,C),E),C)|relation_dom_as_subset(B,A,C)=B.
% 6.02/6.09  0 [] -relation_of2_as_subset(C,B,A)| -in(D,B)|in(ordered_pair(D,$f221(A,B,C,D)),C)|relation_dom_as_subset(B,A,C)!=B.
% 6.02/6.09  0 [] -relation(B)| -reflexive(B)|reflexive(relation_restriction(B,A)).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)| -in(A,relation_dom(B))|apply(relation_composition(B,C),A)=apply(C,apply(B,A)).
% 6.02/6.09  0 [] -ordinal(B)| -in(A,B)|ordinal(A).
% 6.02/6.09  0 [] -relation_of2_as_subset(C,A,B)|in($f222(A,B,C),B)|relation_rng_as_subset(A,B,C)=B.
% 6.02/6.09  0 [] -relation_of2_as_subset(C,A,B)| -in(ordered_pair(E,$f222(A,B,C)),C)|relation_rng_as_subset(A,B,C)=B.
% 6.02/6.09  0 [] -relation_of2_as_subset(C,A,B)| -in(D,B)|in(ordered_pair($f223(A,B,C,D),D),C)|relation_rng_as_subset(A,B,C)!=B.
% 6.02/6.09  0 [] -relation(B)| -connected(B)|connected(relation_restriction(B,A)).
% 6.02/6.09  0 [] -ordinal(A)| -ordinal(B)|in(A,B)|A=B|in(B,A).
% 6.02/6.09  0 [] -relation(B)| -transitive(B)|transitive(relation_restriction(B,A)).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_dom(A),relation_dom(B)).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -subset(A,B)|subset(relation_rng(A),relation_rng(B)).
% 6.02/6.09  0 [] -relation(B)| -antisymmetric(B)|antisymmetric(relation_restriction(B,A)).
% 6.02/6.09  0 [] -relation(B)| -well_orders(B,A)|relation_field(relation_restriction(B,A))=A.
% 6.02/6.09  0 [] -relation(B)| -well_orders(B,A)|well_ordering(relation_restriction(B,A)).
% 6.02/6.09  0 [] relation($f224(A)).
% 6.02/6.09  0 [] well_orders($f224(A),A).
% 6.02/6.09  0 [] -subset(A,B)|subset(set_intersection2(A,C),set_intersection2(B,C)).
% 6.02/6.09  0 [] empty(A)|in($f225(A),A)|relation($f226(A)).
% 6.02/6.09  0 [] empty(A)|in($f225(A),A)|function($f226(A)).
% 6.02/6.09  0 [] empty(A)|in($f225(A),A)|relation_dom($f226(A))=A.
% 6.02/6.09  0 [] empty(A)|in($f225(A),A)| -in(C,A)|in(apply($f226(A),C),C).
% 6.02/6.09  0 [] empty(A)|$f225(A)=empty_set|relation($f226(A)).
% 6.02/6.09  0 [] empty(A)|$f225(A)=empty_set|function($f226(A)).
% 6.02/6.09  0 [] empty(A)|$f225(A)=empty_set|relation_dom($f226(A))=A.
% 6.02/6.09  0 [] empty(A)|$f225(A)=empty_set| -in(C,A)|in(apply($f226(A),C),C).
% 6.02/6.09  0 [] -subset(A,B)|set_intersection2(A,B)=A.
% 6.02/6.09  0 [] set_intersection2(A,empty_set)=empty_set.
% 6.02/6.09  0 [] -element(A,B)|empty(B)|in(A,B).
% 6.02/6.09  0 [] in($f227(A,B),A)|in($f227(A,B),B)|A=B.
% 6.02/6.09  0 [] -in($f227(A,B),A)| -in($f227(A,B),B)|A=B.
% 6.02/6.09  0 [] reflexive(inclusion_relation(A)).
% 6.02/6.09  0 [] subset(empty_set,A).
% 6.02/6.09  0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(A,relation_field(C)).
% 6.02/6.09  0 [] -relation(C)| -in(ordered_pair(A,B),C)|in(B,relation_field(C)).
% 6.02/6.09  0 [] in($f228(A),A)|ordinal(A).
% 6.02/6.09  0 [] -ordinal($f228(A))| -subset($f228(A),A)|ordinal(A).
% 6.02/6.09  0 [] -relation(B)| -well_founded_relation(B)|well_founded_relation(relation_restriction(B,A)).
% 6.02/6.09  0 [] -ordinal(B)| -subset(A,B)|A=empty_set|ordinal($f229(A,B)).
% 6.02/6.09  0 [] -ordinal(B)| -subset(A,B)|A=empty_set|in($f229(A,B),A).
% 6.02/6.09  0 [] -ordinal(B)| -subset(A,B)|A=empty_set| -ordinal(D)| -in(D,A)|ordinal_subset($f229(A,B),D).
% 6.02/6.09  0 [] -relation(B)| -well_ordering(B)|well_ordering(relation_restriction(B,A)).
% 6.02/6.09  0 [] -ordinal(A)| -ordinal(B)| -in(A,B)|ordinal_subset(succ(A),B).
% 6.02/6.09  0 [] -ordinal(A)| -ordinal(B)|in(A,B)| -ordinal_subset(succ(A),B).
% 6.02/6.09  0 [] -subset(A,B)|subset(set_difference(A,C),set_difference(B,C)).
% 6.02/6.09  0 [] ordered_pair(A,B)!=ordered_pair(C,D)|A=C.
% 6.02/6.09  0 [] ordered_pair(A,B)!=ordered_pair(C,D)|B=D.
% 6.02/6.09  0 [] -relation(B)| -function(B)|B!=identity_relation(A)|relation_dom(B)=A.
% 6.02/6.09  0 [] -relation(B)| -function(B)|B!=identity_relation(A)| -in(C,A)|apply(B,C)=C.
% 6.02/6.09  0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|in($f230(A,B),A).
% 6.02/6.09  0 [] -relation(B)| -function(B)|B=identity_relation(A)|relation_dom(B)!=A|apply(B,$f230(A,B))!=$f230(A,B).
% 6.02/6.09  0 [] -in(B,A)|apply(identity_relation(A),B)=B.
% 6.02/6.09  0 [] subset(set_difference(A,B),A).
% 6.02/6.09  0 [] -relation(A)|relation_rng(A)=relation_dom(relation_inverse(A)).
% 6.02/6.09  0 [] -relation(A)|relation_dom(A)=relation_rng(relation_inverse(A)).
% 6.02/6.09  0 [] set_difference(A,B)!=empty_set|subset(A,B).
% 6.02/6.09  0 [] set_difference(A,B)=empty_set| -subset(A,B).
% 6.02/6.09  0 [] -subset(singleton(A),B)|in(A,B).
% 6.02/6.09  0 [] subset(singleton(A),B)| -in(A,B).
% 6.02/6.09  0 [] -subset(unordered_pair(A,B),C)|in(A,C).
% 6.02/6.09  0 [] -subset(unordered_pair(A,B),C)|in(B,C).
% 6.02/6.09  0 [] subset(unordered_pair(A,B),C)| -in(A,C)| -in(B,C).
% 6.02/6.09  0 [] -relation(B)| -well_ordering(B)| -subset(A,relation_field(B))|relation_field(relation_restriction(B,A))=A.
% 6.02/6.09  0 [] set_union2(A,set_difference(B,A))=set_union2(A,B).
% 6.02/6.09  0 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 6.02/6.09  0 [] subset(A,singleton(B))|A!=empty_set.
% 6.02/6.09  0 [] subset(A,singleton(B))|A!=singleton(B).
% 6.02/6.09  0 [] set_difference(A,empty_set)=A.
% 6.02/6.09  0 [] -in(A,B)| -in(B,C)| -in(C,A).
% 6.02/6.09  0 [] -element(A,powerset(B))|subset(A,B).
% 6.02/6.09  0 [] element(A,powerset(B))| -subset(A,B).
% 6.02/6.09  0 [] transitive(inclusion_relation(A)).
% 6.02/6.09  0 [] disjoint(A,B)|in($f231(A,B),A).
% 6.02/6.09  0 [] disjoint(A,B)|in($f231(A,B),B).
% 6.02/6.09  0 [] -in(C,A)| -in(C,B)| -disjoint(A,B).
% 6.02/6.09  0 [] -subset(A,empty_set)|A=empty_set.
% 6.02/6.09  0 [] set_difference(set_union2(A,B),B)=set_difference(A,B).
% 6.02/6.09  0 [] -ordinal(A)| -being_limit_ordinal(A)| -ordinal(B)| -in(B,A)|in(succ(B),A).
% 6.02/6.09  0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f232(A)).
% 6.02/6.09  0 [] -ordinal(A)|being_limit_ordinal(A)|in($f232(A),A).
% 6.02/6.09  0 [] -ordinal(A)|being_limit_ordinal(A)| -in(succ($f232(A)),A).
% 6.02/6.09  0 [] -ordinal(A)|being_limit_ordinal(A)|ordinal($f233(A)).
% 6.02/6.09  0 [] -ordinal(A)|being_limit_ordinal(A)|A=succ($f233(A)).
% 6.02/6.09  0 [] -ordinal(A)| -ordinal(B)|A!=succ(B)| -being_limit_ordinal(A).
% 6.02/6.09  0 [] -element(B,powerset(A))| -element(C,powerset(A))| -disjoint(B,C)|subset(B,subset_complement(A,C)).
% 6.02/6.09  0 [] -element(B,powerset(A))| -element(C,powerset(A))|disjoint(B,C)| -subset(B,subset_complement(A,C)).
% 6.02/6.09  0 [] -relation(A)| -relation(B)|subset(relation_dom(relation_composition(A,B)),relation_dom(A)).
% 6.02/6.09  0 [] -relation(A)| -relation(B)|subset(relation_rng(relation_composition(A,B)),relation_rng(B)).
% 6.02/6.09  0 [] -subset(A,B)|B=set_union2(A,set_difference(B,A)).
% 6.02/6.09  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).
% 6.02/6.09  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).
% 6.02/6.09  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).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -subset(relation_rng(A),relation_dom(B))|relation_dom(relation_composition(A,B))=relation_dom(A).
% 6.02/6.09  0 [] -element(B,powerset(powerset(A)))|B=empty_set|complements_of_subsets(A,B)!=empty_set.
% 6.02/6.09  0 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -subset(relation_dom(A),relation_rng(B))|relation_rng(relation_composition(B,A))=relation_rng(A).
% 6.02/6.09  0 [] -element(B,powerset(powerset(A)))|B=empty_set|subset_difference(A,cast_to_subset(A),union_of_subsets(A,B))=meet_of_subsets(A,complements_of_subsets(A,B)).
% 6.02/6.09  0 [] -element(B,powerset(powerset(A)))|B=empty_set|union_of_subsets(A,complements_of_subsets(A,B))=subset_difference(A,cast_to_subset(A),meet_of_subsets(A,B)).
% 6.02/6.09  0 [] set_difference(A,set_difference(A,B))=set_intersection2(A,B).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_isomorphism(B,A,function_inverse(C)).
% 6.02/6.09  0 [] set_difference(empty_set,A)=empty_set.
% 6.02/6.09  0 [] -in(A,B)| -element(B,powerset(C))|element(A,C).
% 6.02/6.09  0 [] -ordinal(A)|connected(inclusion_relation(A)).
% 6.02/6.09  0 [] disjoint(A,B)|in($f234(A,B),set_intersection2(A,B)).
% 6.02/6.09  0 [] -in(C,set_intersection2(A,B))| -disjoint(A,B).
% 6.02/6.09  0 [] A=empty_set| -element(B,powerset(A))| -element(C,A)|in(C,B)|in(C,subset_complement(A,B)).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -reflexive(A)|reflexive(B).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -transitive(A)|transitive(B).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -connected(A)|connected(B).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -antisymmetric(A)|antisymmetric(B).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -well_founded_relation(A)|well_founded_relation(B).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)|relation_dom(B)=relation_rng(A).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|in(D,relation_dom(A)).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(C,relation_rng(A))|D!=apply(B,C)|C=apply(A,D).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|in(C,relation_rng(A)).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B!=function_inverse(A)| -in(D,relation_dom(A))|C!=apply(A,D)|D=apply(B,C).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f236(A,B),relation_rng(A))|in($f235(A,B),relation_dom(A)).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|in($f236(A,B),relation_rng(A))|$f236(A,B)=apply(A,$f235(A,B)).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f235(A,B)=apply(B,$f236(A,B))|in($f235(A,B),relation_dom(A)).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)|$f235(A,B)=apply(B,$f236(A,B))|$f236(A,B)=apply(A,$f235(A,B)).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)| -relation(B)| -function(B)|B=function_inverse(A)|relation_dom(B)!=relation_rng(A)| -in($f235(A,B),relation_dom(A))|$f236(A,B)!=apply(A,$f235(A,B))| -in($f236(A,B),relation_rng(A))|$f235(A,B)!=apply(B,$f236(A,B)).
% 6.02/6.09  0 [] -element(C,powerset(A))| -in(B,subset_complement(A,C))| -in(B,C).
% 6.02/6.09  0 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -well_ordering(A)| -relation_isomorphism(A,B,C)|well_ordering(B).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_rng(A)=relation_dom(function_inverse(A)).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)|relation_dom(A)=relation_rng(function_inverse(A)).
% 6.02/6.09  0 [] -relation(A)|in(ordered_pair($f238(A),$f237(A)),A)|A=empty_set.
% 6.02/6.09  0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(B,apply(function_inverse(B),A)).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -one_to_one(B)| -in(A,relation_rng(B))|A=apply(relation_composition(function_inverse(B),B),A).
% 6.02/6.09  0 [] -in(A,B)| -element(B,powerset(C))| -empty(C).
% 6.02/6.09  0 [] -relation(A)| -well_founded_relation(A)|is_well_founded_in(A,relation_field(A)).
% 6.02/6.09  0 [] -relation(A)|well_founded_relation(A)| -is_well_founded_in(A,relation_field(A)).
% 6.02/6.09  0 [] antisymmetric(inclusion_relation(A)).
% 6.02/6.09  0 [] relation_dom(empty_set)=empty_set.
% 6.02/6.09  0 [] relation_rng(empty_set)=empty_set.
% 6.02/6.09  0 [] -subset(A,B)| -proper_subset(B,A).
% 6.02/6.09  0 [] -relation(A)| -function(A)| -one_to_one(A)|one_to_one(function_inverse(A)).
% 6.02/6.09  0 [] -subset(A,B)| -disjoint(B,C)|disjoint(A,C).
% 6.02/6.09  0 [] -relation(A)|relation_dom(A)!=empty_set|A=empty_set.
% 6.02/6.09  0 [] -relation(A)|relation_rng(A)!=empty_set|A=empty_set.
% 6.02/6.09  0 [] -relation(A)|relation_dom(A)!=empty_set|relation_rng(A)=empty_set.
% 6.02/6.09  0 [] -relation(A)|relation_dom(A)=empty_set|relation_rng(A)!=empty_set.
% 6.02/6.09  0 [] set_difference(A,singleton(B))!=A| -in(B,A).
% 6.02/6.09  0 [] set_difference(A,singleton(B))=A|in(B,A).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)|relation_dom(B)=set_intersection2(relation_dom(C),A).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B!=relation_dom_restriction(C,A)| -in(D,relation_dom(B))|apply(B,D)=apply(C,D).
% 6.02/6.09  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|in($f239(A,B,C),relation_dom(B)).
% 6.02/6.10  0 [] -relation(B)| -function(B)| -relation(C)| -function(C)|B=relation_dom_restriction(C,A)|relation_dom(B)!=set_intersection2(relation_dom(C),A)|apply(B,$f239(A,B,C))!=apply(C,$f239(A,B,C)).
% 6.02/6.10  0 [] unordered_pair(A,A)=singleton(A).
% 6.02/6.10  0 [] -empty(A)|A=empty_set.
% 6.02/6.10  0 [] -function(D)| -quasi_total(D,A,B)| -relation_of2_as_subset(D,A,B)| -in(C,A)|B=empty_set|in(apply(D,C),relation_rng(D)).
% 6.02/6.10  0 [] -ordinal(A)|well_founded_relation(inclusion_relation(A)).
% 6.02/6.10  0 [] -subset(singleton(A),singleton(B))|A=B.
% 6.02/6.10  0 [] -relation(C)| -function(C)| -in(B,relation_dom(relation_dom_restriction(C,A)))|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 6.02/6.10  0 [] relation_dom(identity_relation(A))=A.
% 6.02/6.10  0 [] relation_rng(identity_relation(A))=A.
% 6.02/6.10  0 [] -relation(C)| -function(C)| -in(B,A)|apply(relation_dom_restriction(C,A),B)=apply(C,B).
% 6.02/6.10  0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(A,C).
% 6.02/6.10  0 [] -relation(D)| -in(ordered_pair(A,B),relation_composition(identity_relation(C),D))|in(ordered_pair(A,B),D).
% 6.02/6.10  0 [] -relation(D)|in(ordered_pair(A,B),relation_composition(identity_relation(C),D))| -in(A,C)| -in(ordered_pair(A,B),D).
% 6.02/6.10  0 [] -in(A,B)| -empty(B).
% 6.02/6.10  0 [] pair_first(ordered_pair(A,B))=A.
% 6.02/6.10  0 [] pair_second(ordered_pair(A,B))=B.
% 6.02/6.10  0 [] -in(A,B)|in($f240(A,B),B).
% 6.02/6.10  0 [] -in(A,B)| -in(D,B)| -in(D,$f240(A,B)).
% 6.02/6.10  0 [] -ordinal(A)|well_ordering(inclusion_relation(A)).
% 6.02/6.10  0 [] subset(A,set_union2(A,B)).
% 6.02/6.10  0 [] -disjoint(A,B)|set_difference(A,B)=A.
% 6.02/6.10  0 [] disjoint(A,B)|set_difference(A,B)!=A.
% 6.02/6.10  0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,B).
% 6.02/6.10  0 [] -relation(C)| -in(A,relation_dom(relation_dom_restriction(C,B)))|in(A,relation_dom(C)).
% 6.02/6.10  0 [] -relation(C)|in(A,relation_dom(relation_dom_restriction(C,B)))| -in(A,B)| -in(A,relation_dom(C)).
% 6.02/6.10  0 [] -relation(B)|subset(relation_dom_restriction(B,A),B).
% 6.02/6.10  0 [] -empty(A)|A=B| -empty(B).
% 6.02/6.10  0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|in(A,relation_dom(C)).
% 6.02/6.10  0 [] -relation(C)| -function(C)| -in(ordered_pair(A,B),C)|B=apply(C,A).
% 6.02/6.10  0 [] -relation(C)| -function(C)|in(ordered_pair(A,B),C)| -in(A,relation_dom(C))|B!=apply(C,A).
% 6.02/6.10  0 [] -relation(A)| -well_orders(A,relation_field(A))|well_ordering(A).
% 6.02/6.10  0 [] -relation(A)|well_orders(A,relation_field(A))| -well_ordering(A).
% 6.02/6.10  0 [] -subset(A,B)| -subset(C,B)|subset(set_union2(A,C),B).
% 6.02/6.10  0 [] singleton(A)!=unordered_pair(B,C)|A=B.
% 6.02/6.10  0 [] -relation(B)|relation_dom(relation_dom_restriction(B,A))=set_intersection2(relation_dom(B),A).
% 6.02/6.10  0 [] -in(A,B)|subset(A,union(B)).
% 6.02/6.10  0 [] -relation(B)|relation_dom_restriction(B,A)=relation_composition(identity_relation(A),B).
% 6.02/6.10  0 [] -relation(B)|subset(relation_rng(relation_dom_restriction(B,A)),relation_rng(B)).
% 6.02/6.10  0 [] union(powerset(A))=A.
% 6.02/6.10  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).
% 6.02/6.10  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).
% 6.02/6.10  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).
% 6.02/6.10  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).
% 6.02/6.10  0 [] in(A,$f242(A)).
% 6.02/6.10  0 [] -in(C,$f242(A))| -subset(D,C)|in(D,$f242(A)).
% 6.02/6.10  0 [] -in(X20,$f242(A))|in($f241(A,X20),$f242(A)).
% 6.02/6.10  0 [] -in(X20,$f242(A))| -subset(E,X20)|in(E,$f241(A,X20)).
% 6.02/6.10  0 [] -subset(X21,$f242(A))|are_e_quipotent(X21,$f242(A))|in(X21,$f242(A)).
% 6.02/6.10  0 [] singleton(A)!=unordered_pair(B,C)|B=C.
% 6.02/6.10  end_of_list.
% 6.02/6.10  
% 6.02/6.10  SCAN INPUT: prop=0, horn=0, equality=1, symmetry=0, max_lits=12.
% 6.02/6.10  
% 6.02/6.10  This ia a non-Horn set with equality.  The strategy will be
% 6.02/6.10  Knuth-Bendix, ordered hyper_res, factoring, and unit
% 6.02/6.10  deletion, with positive clauses in sos and nonpositive
% 6.02/6.10  clauses in usable.
% 6.02/6.10  
% 6.02/6.10     dependent: set(knuth_bendix).
% 6.02/6.10     dependent: set(anl_eq).
% 6.02/6.10     dependent: set(para_from).
% 6.02/6.10     dependent: set(para_into).
% 6.02/6.10     dependent: clear(para_from_right).
% 6.02/6.10     dependent: clear(para_into_right).
% 6.02/6.10     dependent: set(para_from_vars).
% 6.02/6.10     dependent: set(eq_units_both_ways).
% 6.02/6.10     dependent: set(dynamic_demod_all).
% 6.02/6.10     dependent: set(dynamic_demod).
% 6.02/6.10     dependent: set(order_eq).
% 6.02/6.10     dependent: set(back_demod).
% 6.02/6.10     dependent: set(lrpo).
% 6.02/6.10     dependent: set(hyper_res).
% 6.02/6.10     dependent: set(unit_deletion).
% 6.02/6.10     dependent: set(factor).
% 6.02/6.10  
% 6.02/6.10  ------------> process usable:
% 6.02/6.10  ** KEPT (pick-wt=6): 1 [] -in(A,B)| -in(B,A).
% 6.02/6.10  ** KEPT (pick-wt=6): 2 [] -proper_subset(A,B)| -proper_subset(B,A).
% 6.02/6.10  ** KEPT (pick-wt=7): 3 [] -ordinal(A)| -element(B,A)|epsilon_transitive(B).
% 6.02/6.10  ** KEPT (pick-wt=7): 4 [] -ordinal(A)| -element(B,A)|epsilon_connected(B).
% 6.02/6.10  ** KEPT (pick-wt=7): 5 [] -ordinal(A)| -element(B,A)|ordinal(B).
% 6.02/6.10  ** KEPT (pick-wt=4): 6 [] -empty(A)|finite(A).
% 6.02/6.10  ** KEPT (pick-wt=4): 7 [] -empty(A)|function(A).
% 6.02/6.10  ** KEPT (pick-wt=4): 8 [] -ordinal(A)|epsilon_transitive(A).
% 6.02/6.10  ** KEPT (pick-wt=4): 9 [] -ordinal(A)|epsilon_connected(A).
% 6.02/6.10  ** KEPT (pick-wt=4): 10 [] -empty(A)|relation(A).
% 6.02/6.10  ** KEPT (pick-wt=8): 11 [] -element(A,powerset(cartesian_product2(B,C)))|relation(A).
% 6.02/6.10    Following clause subsumed by 8 during input processing: 0 [] -empty(A)| -ordinal(A)|epsilon_transitive(A).
% 6.02/6.10    Following clause subsumed by 9 during input processing: 0 [] -empty(A)| -ordinal(A)|epsilon_connected(A).
% 6.02/6.10  ** KEPT (pick-wt=6): 12 [] -empty(A)| -ordinal(A)|natural(A).
% 6.02/6.10  ** KEPT (pick-wt=8): 13 [] -finite(A)| -element(B,powerset(A))|finite(B).
% 6.02/6.10  ** KEPT (pick-wt=8): 14 [] -relation(A)| -empty(A)| -function(A)|one_to_one(A).
% 6.02/6.10  ** KEPT (pick-wt=6): 15 [] -epsilon_transitive(A)| -epsilon_connected(A)|ordinal(A).
% 6.02/6.10  ** KEPT (pick-wt=5): 16 [] -element(A,omega)|epsilon_transitive(A).
% 6.02/6.10  ** KEPT (pick-wt=5): 17 [] -element(A,omega)|epsilon_connected(A).
% 6.02/6.10  ** KEPT (pick-wt=5): 18 [] -element(A,omega)|ordinal(A).
% 6.02/6.10  ** KEPT (pick-wt=5): 19 [] -element(A,omega)|natural(A).
% 6.02/6.10  ** KEPT (pick-wt=4): 20 [] -empty(A)|epsilon_transitive(A).
% 6.02/6.10  ** KEPT (pick-wt=4): 21 [] -empty(A)|epsilon_connected(A).
% 6.02/6.10  ** KEPT (pick-wt=4): 22 [] -empty(A)|ordinal(A).
% 6.02/6.10  ** KEPT (pick-wt=10): 23 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)|ordinal_subset(B,A).
% 6.02/6.10  ** KEPT (pick-wt=14): 24 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|in(C,B).
% 6.02/6.10  ** KEPT (pick-wt=14): 25 [] -relation(A)|A!=identity_relation(B)| -in(ordered_pair(C,D),A)|C=D.
% 6.02/6.10  ** KEPT (pick-wt=17): 26 [] -relation(A)|A!=identity_relation(B)|in(ordered_pair(C,D),A)| -in(C,B)|C!=D.
% 6.02/6.10  ** KEPT (pick-wt=20): 27 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|in($f2(B,A),B).
% 6.02/6.10  ** KEPT (pick-wt=22): 28 [] -relation(A)|A=identity_relation(B)|in(ordered_pair($f2(B,A),$f1(B,A)),A)|$f2(B,A)=$f1(B,A).
% 6.02/6.10  ** KEPT (pick-wt=27): 29 [] -relation(A)|A=identity_relation(B)| -in(ordered_pair($f2(B,A),$f1(B,A)),A)| -in($f2(B,A),B)|$f2(B,A)!=$f1(B,A).
% 6.02/6.10  ** KEPT (pick-wt=6): 30 [] A!=B|subset(A,B).
% 6.02/6.10  ** KEPT (pick-wt=6): 31 [] A!=B|subset(B,A).
% 6.02/6.10  ** KEPT (pick-wt=9): 32 [] A=B| -subset(A,B)| -subset(B,A).
% 6.02/6.10  ** KEPT (pick-wt=17): 33 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(D,C).
% 6.02/6.10  ** KEPT (pick-wt=19): 34 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 6.02/6.10  ** KEPT (pick-wt=22): 35 [] -relation(A)| -relation(B)|B!=relation_dom_restriction(A,C)|in(ordered_pair(D,E),B)| -in(D,C)| -in(ordered_pair(D,E),A).
% 6.02/6.10  ** KEPT (pick-wt=26): 36 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in($f4(A,C,B),C).
% 6.02/6.10  ** KEPT (pick-wt=31): 37 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)|in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 6.02/6.10  ** KEPT (pick-wt=37): 38 [] -relation(A)| -relation(B)|B=relation_dom_restriction(A,C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),B)| -in($f4(A,C,B),C)| -in(ordered_pair($f4(A,C,B),$f3(A,C,B)),A).
% 6.02/6.10  ** KEPT (pick-wt=20): 39 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),relation_dom(A)).
% 6.02/6.10  ** KEPT (pick-wt=19): 40 [] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|in($f5(A,C,B,D),C).
% 6.02/6.10  ** KEPT (pick-wt=21): 42 [copy,41,flip.5] -relation(A)| -function(A)|B!=relation_image(A,C)| -in(D,B)|apply(A,$f5(A,C,B,D))=D.
% 6.02/6.10  ** KEPT (pick-wt=24): 43 [] -relation(A)| -function(A)|B!=relation_image(A,C)|in(D,B)| -in(E,relation_dom(A))| -in(E,C)|D!=apply(A,E).
% 6.02/6.10  ** KEPT (pick-wt=22): 44 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),relation_dom(A)).
% 6.02/6.10  ** KEPT (pick-wt=21): 45 [] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|in($f6(A,C,B),C).
% 6.02/6.10  ** KEPT (pick-wt=26): 47 [copy,46,flip.5] -relation(A)| -function(A)|B=relation_image(A,C)|in($f7(A,C,B),B)|apply(A,$f6(A,C,B))=$f7(A,C,B).
% 6.02/6.10  ** KEPT (pick-wt=30): 48 [] -relation(A)| -function(A)|B=relation_image(A,C)| -in($f7(A,C,B),B)| -in(D,relation_dom(A))| -in(D,C)|$f7(A,C,B)!=apply(A,D).
% 6.02/6.10  ** KEPT (pick-wt=17): 49 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(E,C).
% 6.02/6.10  ** KEPT (pick-wt=19): 50 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)| -in(ordered_pair(D,E),B)|in(ordered_pair(D,E),A).
% 6.02/6.10  ** KEPT (pick-wt=22): 51 [] -relation(A)| -relation(B)|B!=relation_rng_restriction(C,A)|in(ordered_pair(D,E),B)| -in(E,C)| -in(ordered_pair(D,E),A).
% 6.02/6.10  ** KEPT (pick-wt=26): 52 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in($f8(C,A,B),C).
% 6.02/6.10  ** KEPT (pick-wt=31): 53 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)|in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 6.02/6.10  ** KEPT (pick-wt=37): 54 [] -relation(A)| -relation(B)|B=relation_rng_restriction(C,A)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),B)| -in($f8(C,A,B),C)| -in(ordered_pair($f9(C,A,B),$f8(C,A,B)),A).
% 6.02/6.10  ** KEPT (pick-wt=8): 55 [] -relation(A)| -antisymmetric(A)|is_antisymmetric_in(A,relation_field(A)).
% 6.02/6.10  ** KEPT (pick-wt=8): 56 [] -relation(A)|antisymmetric(A)| -is_antisymmetric_in(A,relation_field(A)).
% 6.02/6.10  ** KEPT (pick-wt=16): 57 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(D,relation_dom(A)).
% 6.02/6.10  ** KEPT (pick-wt=17): 58 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(apply(A,D),C).
% 6.02/6.10  ** KEPT (pick-wt=21): 59 [] -relation(A)| -function(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(D,relation_dom(A))| -in(apply(A,D),C).
% 6.02/6.10  ** KEPT (pick-wt=22): 60 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in($f10(A,C,B),relation_dom(A)).
% 6.02/6.10  ** KEPT (pick-wt=23): 61 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)|in($f10(A,C,B),B)|in(apply(A,$f10(A,C,B)),C).
% 6.02/6.10  ** KEPT (pick-wt=30): 62 [] -relation(A)| -function(A)|B=relation_inverse_image(A,C)| -in($f10(A,C,B),B)| -in($f10(A,C,B),relation_dom(A))| -in(apply(A,$f10(A,C,B)),C).
% 6.02/6.10  ** KEPT (pick-wt=19): 63 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in(ordered_pair($f11(A,C,B,D),D),A).
% 6.02/6.10  ** KEPT (pick-wt=17): 64 [] -relation(A)|B!=relation_image(A,C)| -in(D,B)|in($f11(A,C,B,D),C).
% 6.02/6.10  ** KEPT (pick-wt=18): 65 [] -relation(A)|B!=relation_image(A,C)|in(D,B)| -in(ordered_pair(E,D),A)| -in(E,C).
% 6.02/6.10  ** KEPT (pick-wt=24): 66 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in(ordered_pair($f12(A,C,B),$f13(A,C,B)),A).
% 6.02/6.10  ** KEPT (pick-wt=19): 67 [] -relation(A)|B=relation_image(A,C)|in($f13(A,C,B),B)|in($f12(A,C,B),C).
% 6.02/6.10  ** KEPT (pick-wt=24): 68 [] -relation(A)|B=relation_image(A,C)| -in($f13(A,C,B),B)| -in(ordered_pair(D,$f13(A,C,B)),A)| -in(D,C).
% 6.02/6.10  ** KEPT (pick-wt=19): 69 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in(ordered_pair(D,$f14(A,C,B,D)),A).
% 6.02/6.10  ** KEPT (pick-wt=17): 70 [] -relation(A)|B!=relation_inverse_image(A,C)| -in(D,B)|in($f14(A,C,B,D),C).
% 6.02/6.10  ** KEPT (pick-wt=18): 71 [] -relation(A)|B!=relation_inverse_image(A,C)|in(D,B)| -in(ordered_pair(D,E),A)| -in(E,C).
% 6.02/6.10  ** KEPT (pick-wt=24): 72 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in(ordered_pair($f16(A,C,B),$f15(A,C,B)),A).
% 6.02/6.10  ** KEPT (pick-wt=19): 73 [] -relation(A)|B=relation_inverse_image(A,C)|in($f16(A,C,B),B)|in($f15(A,C,B),C).
% 6.02/6.10  ** KEPT (pick-wt=24): 74 [] -relation(A)|B=relation_inverse_image(A,C)| -in($f16(A,C,B),B)| -in(ordered_pair($f16(A,C,B),D),A)| -in(D,C).
% 6.02/6.10  ** KEPT (pick-wt=8): 75 [] -relation(A)| -connected(A)|is_connected_in(A,relation_field(A)).
% 6.02/6.10  ** KEPT (pick-wt=8): 76 [] -relation(A)|connected(A)| -is_connected_in(A,relation_field(A)).
% 6.02/6.10  ** KEPT (pick-wt=8): 77 [] -relation(A)| -transitive(A)|is_transitive_in(A,relation_field(A)).
% 6.02/6.10  ** KEPT (pick-wt=8): 78 [] -relation(A)|transitive(A)| -is_transitive_in(A,relation_field(A)).
% 6.02/6.10  ** KEPT (pick-wt=18): 79 [] A!=unordered_triple(B,C,D)| -in(E,A)|E=B|E=C|E=D.
% 6.02/6.10  ** KEPT (pick-wt=12): 80 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=B.
% 6.02/6.10  ** KEPT (pick-wt=12): 81 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=C.
% 6.02/6.10  ** KEPT (pick-wt=12): 82 [] A!=unordered_triple(B,C,D)|in(E,A)|E!=D.
% 6.02/6.10  ** KEPT (pick-wt=20): 83 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=B.
% 6.02/6.10  ** KEPT (pick-wt=20): 84 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=C.
% 6.02/6.10  ** KEPT (pick-wt=20): 85 [] A=unordered_triple(B,C,D)| -in($f17(B,C,D,A),A)|$f17(B,C,D,A)!=D.
% 6.02/6.10  ** KEPT (pick-wt=5): 86 [] -finite(A)|relation($f18(A)).
% 6.02/6.10  ** KEPT (pick-wt=5): 87 [] -finite(A)|function($f18(A)).
% 6.02/6.10  ** KEPT (pick-wt=7): 88 [] -finite(A)|relation_rng($f18(A))=A.
% 6.02/6.11  ** KEPT (pick-wt=7): 89 [] -finite(A)|in(relation_dom($f18(A)),omega).
% 6.02/6.11  ** KEPT (pick-wt=14): 90 [] finite(A)| -relation(B)| -function(B)|relation_rng(B)!=A| -in(relation_dom(B),omega).
% 6.02/6.11  ** KEPT (pick-wt=15): 91 [] -function(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(B,D),A)|C=D.
% 6.02/6.11  ** KEPT (pick-wt=7): 92 [] function(A)|$f20(A)!=$f19(A).
% 6.02/6.11  ** KEPT (pick-wt=17): 94 [copy,93,flip.4] -relation_of2_as_subset(A,B,C)|C=empty_set| -quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)=B.
% 6.02/6.11  ** KEPT (pick-wt=17): 96 [copy,95,flip.4] -relation_of2_as_subset(A,B,C)|C=empty_set|quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)!=B.
% 6.02/6.11  ** KEPT (pick-wt=17): 98 [copy,97,flip.4] -relation_of2_as_subset(A,B,C)|B!=empty_set| -quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)=B.
% 6.02/6.11  ** KEPT (pick-wt=17): 100 [copy,99,flip.4] -relation_of2_as_subset(A,B,C)|B!=empty_set|quasi_total(A,B,C)|relation_dom_as_subset(B,C,A)!=B.
% 6.02/6.11  ** KEPT (pick-wt=17): 101 [] -relation_of2_as_subset(A,B,C)|C!=empty_set|B=empty_set| -quasi_total(A,B,C)|A=empty_set.
% 6.02/6.11  ** KEPT (pick-wt=17): 102 [] -relation_of2_as_subset(A,B,C)|C!=empty_set|B=empty_set|quasi_total(A,B,C)|A!=empty_set.
% 6.02/6.11  ** KEPT (pick-wt=12): 104 [copy,103,factor_simp] A!=ordered_pair(B,C)|D!=pair_first(A)|D=B.
% 6.02/6.11  ** KEPT (pick-wt=18): 106 [copy,105,flip.3] A!=ordered_pair(B,C)|D=pair_first(A)|ordered_pair($f23(A,D),$f22(A,D))=A.
% 6.02/6.11  ** KEPT (pick-wt=14): 108 [copy,107,flip.3] A!=ordered_pair(B,C)|D=pair_first(A)|$f23(A,D)!=D.
% 6.02/6.11  ** KEPT (pick-wt=14): 110 [copy,109,flip.3] -relation(A)| -in(B,A)|ordered_pair($f25(A,B),$f24(A,B))=B.
% 6.02/6.11  ** KEPT (pick-wt=8): 111 [] relation(A)|$f26(A)!=ordered_pair(B,C).
% 6.02/6.11  ** KEPT (pick-wt=13): 112 [] -relation(A)| -is_reflexive_in(A,B)| -in(C,B)|in(ordered_pair(C,C),A).
% 6.02/6.11  ** KEPT (pick-wt=10): 113 [] -relation(A)|is_reflexive_in(A,B)|in($f27(A,B),B).
% 6.02/6.11  ** KEPT (pick-wt=14): 114 [] -relation(A)|is_reflexive_in(A,B)| -in(ordered_pair($f27(A,B),$f27(A,B)),A).
% 6.02/6.11  ** KEPT (pick-wt=9): 115 [] -relation_of2(A,B,C)|subset(A,cartesian_product2(B,C)).
% 6.02/6.11  ** KEPT (pick-wt=9): 116 [] relation_of2(A,B,C)| -subset(A,cartesian_product2(B,C)).
% 6.02/6.11  ** KEPT (pick-wt=16): 117 [] A=empty_set|B!=set_meet(A)| -in(C,B)| -in(D,A)|in(C,D).
% 6.02/6.11  ** KEPT (pick-wt=16): 118 [] A=empty_set|B!=set_meet(A)|in(C,B)|in($f28(A,B,C),A).
% 6.02/6.11  ** KEPT (pick-wt=16): 119 [] A=empty_set|B!=set_meet(A)|in(C,B)| -in(C,$f28(A,B,C)).
% 6.02/6.11  ** KEPT (pick-wt=20): 120 [] A=empty_set|B=set_meet(A)|in($f30(A,B),B)| -in(C,A)|in($f30(A,B),C).
% 6.02/6.11  ** KEPT (pick-wt=17): 121 [] A=empty_set|B=set_meet(A)| -in($f30(A,B),B)|in($f29(A,B),A).
% 6.02/6.11  ** KEPT (pick-wt=19): 122 [] A=empty_set|B=set_meet(A)| -in($f30(A,B),B)| -in($f30(A,B),$f29(A,B)).
% 6.02/6.11  ** KEPT (pick-wt=10): 123 [] A!=empty_set|B!=set_meet(A)|B=empty_set.
% 6.02/6.11  ** KEPT (pick-wt=10): 124 [] A!=empty_set|B=set_meet(A)|B!=empty_set.
% 6.02/6.11  ** KEPT (pick-wt=10): 125 [] A!=singleton(B)| -in(C,A)|C=B.
% 6.02/6.11  ** KEPT (pick-wt=10): 126 [] A!=singleton(B)|in(C,A)|C!=B.
% 6.02/6.11  ** KEPT (pick-wt=14): 127 [] A=singleton(B)| -in($f31(B,A),A)|$f31(B,A)!=B.
% 6.02/6.11  ** KEPT (pick-wt=13): 128 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|D!=C.
% 6.02/6.11  ** KEPT (pick-wt=15): 129 [] -relation(A)|B!=fiber(A,C)| -in(D,B)|in(ordered_pair(D,C),A).
% 6.02/6.11  ** KEPT (pick-wt=18): 130 [] -relation(A)|B!=fiber(A,C)|in(D,B)|D=C| -in(ordered_pair(D,C),A).
% 6.02/6.11  ** KEPT (pick-wt=19): 131 [] -relation(A)|B=fiber(A,C)|in($f32(A,C,B),B)|$f32(A,C,B)!=C.
% 6.02/6.11  ** KEPT (pick-wt=21): 132 [] -relation(A)|B=fiber(A,C)|in($f32(A,C,B),B)|in(ordered_pair($f32(A,C,B),C),A).
% 6.02/6.11  ** KEPT (pick-wt=27): 133 [] -relation(A)|B=fiber(A,C)| -in($f32(A,C,B),B)|$f32(A,C,B)=C| -in(ordered_pair($f32(A,C,B),C),A).
% 6.02/6.11  ** KEPT (pick-wt=10): 134 [] -relation(A)|A!=inclusion_relation(B)|relation_field(A)=B.
% 6.02/6.11  ** KEPT (pick-wt=20): 135 [] -relation(A)|A!=inclusion_relation(B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)|subset(C,D).
% 6.02/6.11  ** KEPT (pick-wt=20): 136 [] -relation(A)|A!=inclusion_relation(B)| -in(C,B)| -in(D,B)|in(ordered_pair(C,D),A)| -subset(C,D).
% 6.02/6.11  ** KEPT (pick-wt=15): 137 [] -relation(A)|A=inclusion_relation(B)|relation_field(A)!=B|in($f34(B,A),B).
% 6.02/6.11  ** KEPT (pick-wt=15): 138 [] -relation(A)|A=inclusion_relation(B)|relation_field(A)!=B|in($f33(B,A),B).
% 6.02/6.11  ** KEPT (pick-wt=26): 139 [] -relation(A)|A=inclusion_relation(B)|relation_field(A)!=B|in(ordered_pair($f34(B,A),$f33(B,A)),A)|subset($f34(B,A),$f33(B,A)).
% 6.02/6.11  ** KEPT (pick-wt=26): 140 [] -relation(A)|A=inclusion_relation(B)|relation_field(A)!=B| -in(ordered_pair($f34(B,A),$f33(B,A)),A)| -subset($f34(B,A),$f33(B,A)).
% 6.02/6.11  ** KEPT (pick-wt=6): 141 [] A!=empty_set| -in(B,A).
% 6.02/6.11  ** KEPT (pick-wt=10): 142 [] A!=powerset(B)| -in(C,A)|subset(C,B).
% 6.02/6.11  ** KEPT (pick-wt=10): 143 [] A!=powerset(B)|in(C,A)| -subset(C,B).
% 6.02/6.11  ** KEPT (pick-wt=14): 144 [] A=powerset(B)| -in($f36(B,A),A)| -subset($f36(B,A),B).
% 6.02/6.11  ** KEPT (pick-wt=12): 146 [copy,145,factor_simp] A!=ordered_pair(B,C)|D!=pair_second(A)|D=C.
% 6.02/6.11  ** KEPT (pick-wt=18): 148 [copy,147,flip.3] A!=ordered_pair(B,C)|D=pair_second(A)|ordered_pair($f38(A,D),$f37(A,D))=A.
% 6.02/6.11  ** KEPT (pick-wt=14): 150 [copy,149,flip.3] A!=ordered_pair(B,C)|D=pair_second(A)|$f37(A,D)!=D.
% 6.02/6.11  ** KEPT (pick-wt=8): 151 [] -epsilon_transitive(A)| -in(B,A)|subset(B,A).
% 6.02/6.11  ** KEPT (pick-wt=6): 152 [] epsilon_transitive(A)| -subset($f39(A),A).
% 6.02/6.11  ** KEPT (pick-wt=17): 153 [] -relation(A)| -relation(B)|A!=B| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 6.02/6.11  ** KEPT (pick-wt=17): 154 [] -relation(A)| -relation(B)|A!=B|in(ordered_pair(C,D),A)| -in(ordered_pair(C,D),B).
% 6.02/6.11  ** KEPT (pick-wt=25): 155 [] -relation(A)| -relation(B)|A=B|in(ordered_pair($f41(A,B),$f40(A,B)),A)|in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 6.02/6.11  ** KEPT (pick-wt=25): 156 [] -relation(A)| -relation(B)|A=B| -in(ordered_pair($f41(A,B),$f40(A,B)),A)| -in(ordered_pair($f41(A,B),$f40(A,B)),B).
% 6.02/6.11  ** KEPT (pick-wt=8): 157 [] empty(A)| -element(B,A)|in(B,A).
% 6.02/6.11  ** KEPT (pick-wt=8): 158 [] empty(A)|element(B,A)| -in(B,A).
% 6.02/6.11  ** KEPT (pick-wt=7): 159 [] -empty(A)| -element(B,A)|empty(B).
% 6.02/6.11  ** KEPT (pick-wt=7): 160 [] -empty(A)|element(B,A)| -empty(B).
% 6.02/6.11  ** KEPT (pick-wt=14): 161 [] A!=unordered_pair(B,C)| -in(D,A)|D=B|D=C.
% 6.02/6.11  ** KEPT (pick-wt=11): 162 [] A!=unordered_pair(B,C)|in(D,A)|D!=B.
% 6.02/6.11  ** KEPT (pick-wt=11): 163 [] A!=unordered_pair(B,C)|in(D,A)|D!=C.
% 6.02/6.11  ** KEPT (pick-wt=17): 164 [] A=unordered_pair(B,C)| -in($f42(B,C,A),A)|$f42(B,C,A)!=B.
% 6.02/6.11  ** KEPT (pick-wt=17): 165 [] A=unordered_pair(B,C)| -in($f42(B,C,A),A)|$f42(B,C,A)!=C.
% 6.02/6.11  ** KEPT (pick-wt=16): 166 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|in($f43(A,B),B).
% 6.02/6.11  ** KEPT (pick-wt=18): 167 [] -relation(A)| -well_founded_relation(A)| -subset(B,relation_field(A))|B=empty_set|disjoint(fiber(A,$f43(A,B)),B).
% 6.02/6.11  ** KEPT (pick-wt=9): 168 [] -relation(A)|well_founded_relation(A)|subset($f44(A),relation_field(A)).
% 6.02/6.11  ** KEPT (pick-wt=8): 169 [] -relation(A)|well_founded_relation(A)|$f44(A)!=empty_set.
% 6.02/6.11  ** KEPT (pick-wt=14): 170 [] -relation(A)|well_founded_relation(A)| -in(B,$f44(A))| -disjoint(fiber(A,B),$f44(A)).
% 6.02/6.11  ** KEPT (pick-wt=14): 171 [] A!=set_union2(B,C)| -in(D,A)|in(D,B)|in(D,C).
% 6.02/6.11  ** KEPT (pick-wt=11): 172 [] A!=set_union2(B,C)|in(D,A)| -in(D,B).
% 6.02/6.11  ** KEPT (pick-wt=11): 173 [] A!=set_union2(B,C)|in(D,A)| -in(D,C).
% 6.02/6.11  ** KEPT (pick-wt=17): 174 [] A=set_union2(B,C)| -in($f45(B,C,A),A)| -in($f45(B,C,A),B).
% 6.02/6.11  ** KEPT (pick-wt=17): 175 [] A=set_union2(B,C)| -in($f45(B,C,A),A)| -in($f45(B,C,A),C).
% 6.02/6.11  ** KEPT (pick-wt=15): 176 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f47(B,C,A,D),B).
% 6.02/6.11  ** KEPT (pick-wt=15): 177 [] A!=cartesian_product2(B,C)| -in(D,A)|in($f46(B,C,A,D),C).
% 6.02/6.11  ** KEPT (pick-wt=21): 179 [copy,178,flip.3] A!=cartesian_product2(B,C)| -in(D,A)|ordered_pair($f47(B,C,A,D),$f46(B,C,A,D))=D.
% 6.02/6.11  ** KEPT (pick-wt=19): 180 [] A!=cartesian_product2(B,C)|in(D,A)| -in(E,B)| -in(F,C)|D!=ordered_pair(E,F).
% 6.02/6.11  ** KEPT (pick-wt=25): 181 [] A=cartesian_product2(B,C)| -in($f50(B,C,A),A)| -in(D,B)| -in(E,C)|$f50(B,C,A)!=ordered_pair(D,E).
% 6.02/6.11  ** KEPT (pick-wt=17): 182 [] -epsilon_connected(A)| -in(B,A)| -in(C,A)|in(B,C)|B=C|in(C,B).
% 6.02/6.11  ** KEPT (pick-wt=7): 183 [] epsilon_connected(A)| -in($f52(A),$f51(A)).
% 6.02/6.11  ** KEPT (pick-wt=7): 184 [] epsilon_connected(A)|$f52(A)!=$f51(A).
% 6.02/6.11  ** KEPT (pick-wt=7): 185 [] epsilon_connected(A)| -in($f51(A),$f52(A)).
% 6.02/6.11  ** KEPT (pick-wt=17): 186 [] -relation(A)| -relation(B)| -subset(A,B)| -in(ordered_pair(C,D),A)|in(ordered_pair(C,D),B).
% 6.02/6.11  ** KEPT (pick-wt=16): 187 [] -relation(A)| -relation(B)|subset(A,B)|in(ordered_pair($f54(A,B),$f53(A,B)),A).
% 6.02/6.11  ** KEPT (pick-wt=16): 188 [] -relation(A)| -relation(B)|subset(A,B)| -in(ordered_pair($f54(A,B),$f53(A,B)),B).
% 6.02/6.11  ** KEPT (pick-wt=9): 189 [] -subset(A,B)| -in(C,A)|in(C,B).
% 6.02/6.11  ** KEPT (pick-wt=8): 190 [] subset(A,B)| -in($f55(A,B),B).
% 6.02/6.11  ** KEPT (pick-wt=17): 191 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|in($f56(A,B,C),C).
% 6.02/6.11  ** KEPT (pick-wt=19): 192 [] -relation(A)| -is_well_founded_in(A,B)| -subset(C,B)|C=empty_set|disjoint(fiber(A,$f56(A,B,C)),C).
% 6.02/6.11  ** KEPT (pick-wt=10): 193 [] -relation(A)|is_well_founded_in(A,B)|subset($f57(A,B),B).
% 6.02/6.11  ** KEPT (pick-wt=10): 194 [] -relation(A)|is_well_founded_in(A,B)|$f57(A,B)!=empty_set.
% 6.02/6.11  ** KEPT (pick-wt=17): 195 [] -relation(A)|is_well_founded_in(A,B)| -in(C,$f57(A,B))| -disjoint(fiber(A,C),$f57(A,B)).
% 6.02/6.11  ** KEPT (pick-wt=11): 196 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,B).
% 6.02/6.11  ** KEPT (pick-wt=11): 197 [] A!=set_intersection2(B,C)| -in(D,A)|in(D,C).
% 6.02/6.11  ** KEPT (pick-wt=14): 198 [] A!=set_intersection2(B,C)|in(D,A)| -in(D,B)| -in(D,C).
% 6.02/6.11  ** KEPT (pick-wt=23): 199 [] A=set_intersection2(B,C)| -in($f58(B,C,A),A)| -in($f58(B,C,A),B)| -in($f58(B,C,A),C).
% 6.02/6.11  ** KEPT (pick-wt=18): 200 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C!=apply(A,B)|in(ordered_pair(B,C),A).
% 6.02/6.11  ** KEPT (pick-wt=18): 201 [] -relation(A)| -function(A)| -in(B,relation_dom(A))|C=apply(A,B)| -in(ordered_pair(B,C),A).
% 6.02/6.11  ** KEPT (pick-wt=16): 202 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C!=apply(A,B)|C=empty_set.
% 6.02/6.11  ** KEPT (pick-wt=16): 203 [] -relation(A)| -function(A)|in(B,relation_dom(A))|C=apply(A,B)|C!=empty_set.
% 6.02/6.11    Following clause subsumed by 8 during input processing: 0 [] -ordinal(A)|epsilon_transitive(A).
% 6.02/6.11    Following clause subsumed by 9 during input processing: 0 [] -ordinal(A)|epsilon_connected(A).
% 6.02/6.11    Following clause subsumed by 15 during input processing: 0 [] ordinal(A)| -epsilon_transitive(A)| -epsilon_connected(A).
% 6.02/6.11  ** KEPT (pick-wt=17): 204 [] -relation(A)|B!=relation_dom(A)| -in(C,B)|in(ordered_pair(C,$f59(A,B,C)),A).
% 6.02/6.11  ** KEPT (pick-wt=14): 205 [] -relation(A)|B!=relation_dom(A)|in(C,B)| -in(ordered_pair(C,D),A).
% 6.02/6.11  ** KEPT (pick-wt=20): 206 [] -relation(A)|B=relation_dom(A)|in($f61(A,B),B)|in(ordered_pair($f61(A,B),$f60(A,B)),A).
% 6.02/6.11  ** KEPT (pick-wt=18): 207 [] -relation(A)|B=relation_dom(A)| -in($f61(A,B),B)| -in(ordered_pair($f61(A,B),C),A).
% 6.02/6.11  ** KEPT (pick-wt=24): 208 [] -relation(A)| -is_antisymmetric_in(A,B)| -in(C,B)| -in(D,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,C),A)|C=D.
% 6.02/6.11  ** KEPT (pick-wt=10): 209 [] -relation(A)|is_antisymmetric_in(A,B)|in($f63(A,B),B).
% 6.02/6.11  ** KEPT (pick-wt=10): 210 [] -relation(A)|is_antisymmetric_in(A,B)|in($f62(A,B),B).
% 6.02/6.11  ** KEPT (pick-wt=14): 211 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f63(A,B),$f62(A,B)),A).
% 6.02/6.11  ** KEPT (pick-wt=14): 212 [] -relation(A)|is_antisymmetric_in(A,B)|in(ordered_pair($f62(A,B),$f63(A,B)),A).
% 6.02/6.11  ** KEPT (pick-wt=12): 213 [] -relation(A)|is_antisymmetric_in(A,B)|$f63(A,B)!=$f62(A,B).
% 6.02/6.11  ** KEPT (pick-wt=13): 214 [] A!=union(B)| -in(C,A)|in(C,$f64(B,A,C)).
% 6.02/6.11  ** KEPT (pick-wt=13): 215 [] A!=union(B)| -in(C,A)|in($f64(B,A,C),B).
% 6.02/6.11  ** KEPT (pick-wt=13): 216 [] A!=union(B)|in(C,A)| -in(C,D)| -in(D,B).
% 6.02/6.11  ** KEPT (pick-wt=17): 217 [] A=union(B)| -in($f66(B,A),A)| -in($f66(B,A),C)| -in(C,B).
% 6.02/6.11  ** KEPT (pick-wt=6): 218 [] -relation(A)| -well_ordering(A)|reflexive(A).
% 6.02/6.11  ** KEPT (pick-wt=6): 219 [] -relation(A)| -well_ordering(A)|transitive(A).
% 6.02/6.11  ** KEPT (pick-wt=6): 220 [] -relation(A)| -well_ordering(A)|antisymmetric(A).
% 6.02/6.11  ** KEPT (pick-wt=6): 221 [] -relation(A)| -well_ordering(A)|connected(A).
% 6.02/6.11  ** KEPT (pick-wt=6): 222 [] -relation(A)| -well_ordering(A)|well_founded_relation(A).
% 6.02/6.11  ** KEPT (pick-wt=14): 223 [] -relation(A)|well_ordering(A)| -reflexive(A)| -transitive(A)| -antisymmetric(A)| -connected(A)| -well_founded_relation(A).
% 6.02/6.11  ** KEPT (pick-wt=7): 224 [] -e_quipotent(A,B)|relation($f67(A,B)).
% 6.02/6.11  ** KEPT (pick-wt=7): 225 [] -e_quipotent(A,B)|function($f67(A,B)).
% 6.02/6.11  ** KEPT (pick-wt=7): 226 [] -e_quipotent(A,B)|one_to_one($f67(A,B)).
% 6.02/6.11  ** KEPT (pick-wt=9): 227 [] -e_quipotent(A,B)|relation_dom($f67(A,B))=A.
% 6.02/6.12  ** KEPT (pick-wt=9): 228 [] -e_quipotent(A,B)|relation_rng($f67(A,B))=B.
% 6.02/6.12  ** KEPT (pick-wt=17): 229 [] e_quipotent(A,B)| -relation(C)| -function(C)| -one_to_one(C)|relation_dom(C)!=A|relation_rng(C)!=B.
% 6.02/6.12  ** KEPT (pick-wt=11): 230 [] A!=set_difference(B,C)| -in(D,A)|in(D,B).
% 6.02/6.12  ** KEPT (pick-wt=11): 231 [] A!=set_difference(B,C)| -in(D,A)| -in(D,C).
% 6.02/6.12  ** KEPT (pick-wt=14): 232 [] A!=set_difference(B,C)|in(D,A)| -in(D,B)|in(D,C).
% 6.02/6.12  ** KEPT (pick-wt=17): 233 [] A=set_difference(B,C)|in($f68(B,C,A),A)| -in($f68(B,C,A),C).
% 6.02/6.12  ** KEPT (pick-wt=23): 234 [] A=set_difference(B,C)| -in($f68(B,C,A),A)| -in($f68(B,C,A),B)|in($f68(B,C,A),C).
% 6.02/6.12  ** KEPT (pick-wt=18): 235 [] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|in($f69(A,B,C),relation_dom(A)).
% 6.02/6.12  ** KEPT (pick-wt=19): 237 [copy,236,flip.5] -relation(A)| -function(A)|B!=relation_rng(A)| -in(C,B)|apply(A,$f69(A,B,C))=C.
% 6.02/6.12  ** KEPT (pick-wt=20): 238 [] -relation(A)| -function(A)|B!=relation_rng(A)|in(C,B)| -in(D,relation_dom(A))|C!=apply(A,D).
% 6.02/6.12  ** KEPT (pick-wt=19): 239 [] -relation(A)| -function(A)|B=relation_rng(A)|in($f71(A,B),B)|in($f70(A,B),relation_dom(A)).
% 6.02/6.12  ** KEPT (pick-wt=22): 241 [copy,240,flip.5] -relation(A)| -function(A)|B=relation_rng(A)|in($f71(A,B),B)|apply(A,$f70(A,B))=$f71(A,B).
% 6.02/6.12  ** KEPT (pick-wt=24): 242 [] -relation(A)| -function(A)|B=relation_rng(A)| -in($f71(A,B),B)| -in(C,relation_dom(A))|$f71(A,B)!=apply(A,C).
% 6.02/6.12  ** KEPT (pick-wt=17): 243 [] -relation(A)|B!=relation_rng(A)| -in(C,B)|in(ordered_pair($f72(A,B,C),C),A).
% 6.02/6.12  ** KEPT (pick-wt=14): 244 [] -relation(A)|B!=relation_rng(A)|in(C,B)| -in(ordered_pair(D,C),A).
% 6.02/6.12  ** KEPT (pick-wt=20): 245 [] -relation(A)|B=relation_rng(A)|in($f74(A,B),B)|in(ordered_pair($f73(A,B),$f74(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=18): 246 [] -relation(A)|B=relation_rng(A)| -in($f74(A,B),B)| -in(ordered_pair(C,$f74(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=11): 247 [] -element(A,powerset(B))|subset_complement(B,A)=set_difference(B,A).
% 6.02/6.12  ** KEPT (pick-wt=8): 248 [] -relation(A)| -well_orders(A,B)|is_reflexive_in(A,B).
% 6.02/6.12  ** KEPT (pick-wt=8): 249 [] -relation(A)| -well_orders(A,B)|is_transitive_in(A,B).
% 6.02/6.12  ** KEPT (pick-wt=8): 250 [] -relation(A)| -well_orders(A,B)|is_antisymmetric_in(A,B).
% 6.02/6.12  ** KEPT (pick-wt=8): 251 [] -relation(A)| -well_orders(A,B)|is_connected_in(A,B).
% 6.02/6.12  ** KEPT (pick-wt=8): 252 [] -relation(A)| -well_orders(A,B)|is_well_founded_in(A,B).
% 6.02/6.12  ** KEPT (pick-wt=20): 253 [] -relation(A)|well_orders(A,B)| -is_reflexive_in(A,B)| -is_transitive_in(A,B)| -is_antisymmetric_in(A,B)| -is_connected_in(A,B)| -is_well_founded_in(A,B).
% 6.02/6.12  ** KEPT (pick-wt=6): 255 [copy,254,flip.2] -being_limit_ordinal(A)|union(A)=A.
% 6.02/6.12  ** KEPT (pick-wt=6): 257 [copy,256,flip.2] being_limit_ordinal(A)|union(A)!=A.
% 6.02/6.12  ** KEPT (pick-wt=10): 259 [copy,258,flip.2] -relation(A)|set_union2(relation_dom(A),relation_rng(A))=relation_field(A).
% 6.02/6.12  ** KEPT (pick-wt=24): 260 [] -relation(A)| -is_connected_in(A,B)| -in(C,B)| -in(D,B)|C=D|in(ordered_pair(C,D),A)|in(ordered_pair(D,C),A).
% 6.02/6.12  ** KEPT (pick-wt=10): 261 [] -relation(A)|is_connected_in(A,B)|in($f76(A,B),B).
% 6.02/6.12  ** KEPT (pick-wt=10): 262 [] -relation(A)|is_connected_in(A,B)|in($f75(A,B),B).
% 6.02/6.12  ** KEPT (pick-wt=12): 263 [] -relation(A)|is_connected_in(A,B)|$f76(A,B)!=$f75(A,B).
% 6.02/6.12  ** KEPT (pick-wt=14): 264 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f76(A,B),$f75(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=14): 265 [] -relation(A)|is_connected_in(A,B)| -in(ordered_pair($f75(A,B),$f76(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=11): 267 [copy,266,flip.2] -relation(A)|set_intersection2(A,cartesian_product2(B,B))=relation_restriction(A,B).
% 6.02/6.12  ** KEPT (pick-wt=18): 268 [] -relation(A)| -relation(B)|B!=relation_inverse(A)| -in(ordered_pair(C,D),B)|in(ordered_pair(D,C),A).
% 6.02/6.12  ** KEPT (pick-wt=18): 269 [] -relation(A)| -relation(B)|B!=relation_inverse(A)|in(ordered_pair(C,D),B)| -in(ordered_pair(D,C),A).
% 6.02/6.12  ** KEPT (pick-wt=26): 270 [] -relation(A)| -relation(B)|B=relation_inverse(A)|in(ordered_pair($f78(A,B),$f77(A,B)),B)|in(ordered_pair($f77(A,B),$f78(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=26): 271 [] -relation(A)| -relation(B)|B=relation_inverse(A)| -in(ordered_pair($f78(A,B),$f77(A,B)),B)| -in(ordered_pair($f77(A,B),$f78(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=17): 272 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_dom(C)=relation_field(A).
% 6.02/6.12  ** KEPT (pick-wt=17): 273 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|relation_rng(C)=relation_field(B).
% 6.02/6.12  ** KEPT (pick-wt=14): 274 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|one_to_one(C).
% 6.02/6.12  ** KEPT (pick-wt=21): 275 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(D,relation_field(A)).
% 6.02/6.12  ** KEPT (pick-wt=21): 276 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(E,relation_field(A)).
% 6.02/6.12  ** KEPT (pick-wt=26): 277 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)| -in(ordered_pair(D,E),A)|in(ordered_pair(apply(C,D),apply(C,E)),B).
% 6.02/6.12  ** KEPT (pick-wt=34): 278 [] -relation(A)| -relation(B)| -relation(C)| -function(C)| -relation_isomorphism(A,B,C)|in(ordered_pair(D,E),A)| -in(D,relation_field(A))| -in(E,relation_field(A))| -in(ordered_pair(apply(C,D),apply(C,E)),B).
% 6.02/6.12  ** KEPT (pick-wt=42): 279 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)|in($f80(A,B,C),relation_field(A)).
% 6.02/6.12  ** KEPT (pick-wt=42): 280 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)|in($f79(A,B,C),relation_field(A)).
% 6.02/6.12  ** KEPT (pick-wt=50): 281 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)|in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)|in(ordered_pair(apply(C,$f80(A,B,C)),apply(C,$f79(A,B,C))),B).
% 6.02/6.12  ** KEPT (pick-wt=64): 282 [] -relation(A)| -relation(B)| -relation(C)| -function(C)|relation_isomorphism(A,B,C)|relation_dom(C)!=relation_field(A)|relation_rng(C)!=relation_field(B)| -one_to_one(C)| -in(ordered_pair($f80(A,B,C),$f79(A,B,C)),A)| -in($f80(A,B,C),relation_field(A))| -in($f79(A,B,C),relation_field(A))| -in(ordered_pair(apply(C,$f80(A,B,C)),apply(C,$f79(A,B,C))),B).
% 6.02/6.12  ** KEPT (pick-wt=8): 283 [] -disjoint(A,B)|set_intersection2(A,B)=empty_set.
% 6.02/6.12  ** KEPT (pick-wt=8): 284 [] disjoint(A,B)|set_intersection2(A,B)!=empty_set.
% 6.02/6.12  ** KEPT (pick-wt=24): 285 [] -relation(A)| -function(A)| -one_to_one(A)| -in(B,relation_dom(A))| -in(C,relation_dom(A))|apply(A,B)!=apply(A,C)|B=C.
% 6.02/6.12  ** KEPT (pick-wt=11): 286 [] -relation(A)| -function(A)|one_to_one(A)|in($f82(A),relation_dom(A)).
% 6.02/6.12  ** KEPT (pick-wt=11): 287 [] -relation(A)| -function(A)|one_to_one(A)|in($f81(A),relation_dom(A)).
% 6.02/6.12  ** KEPT (pick-wt=15): 288 [] -relation(A)| -function(A)|one_to_one(A)|apply(A,$f82(A))=apply(A,$f81(A)).
% 6.02/6.12  ** KEPT (pick-wt=11): 289 [] -relation(A)| -function(A)|one_to_one(A)|$f82(A)!=$f81(A).
% 6.02/6.12  ** KEPT (pick-wt=26): 290 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair(D,$f83(A,B,C,D,E)),A).
% 6.02/6.12  ** KEPT (pick-wt=26): 291 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)| -in(ordered_pair(D,E),C)|in(ordered_pair($f83(A,B,C,D,E),E),B).
% 6.02/6.12  ** KEPT (pick-wt=26): 292 [] -relation(A)| -relation(B)| -relation(C)|C!=relation_composition(A,B)|in(ordered_pair(D,E),C)| -in(ordered_pair(D,F),A)| -in(ordered_pair(F,E),B).
% 6.02/6.12  ** KEPT (pick-wt=33): 293 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f86(A,B,C),$f85(A,B,C)),C)|in(ordered_pair($f86(A,B,C),$f84(A,B,C)),A).
% 6.02/6.12  ** KEPT (pick-wt=33): 294 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)|in(ordered_pair($f86(A,B,C),$f85(A,B,C)),C)|in(ordered_pair($f84(A,B,C),$f85(A,B,C)),B).
% 6.02/6.12  ** KEPT (pick-wt=38): 295 [] -relation(A)| -relation(B)| -relation(C)|C=relation_composition(A,B)| -in(ordered_pair($f86(A,B,C),$f85(A,B,C)),C)| -in(ordered_pair($f86(A,B,C),D),A)| -in(ordered_pair(D,$f85(A,B,C)),B).
% 6.02/6.12  ** KEPT (pick-wt=29): 296 [] -relation(A)| -is_transitive_in(A,B)| -in(C,B)| -in(D,B)| -in(E,B)| -in(ordered_pair(C,D),A)| -in(ordered_pair(D,E),A)|in(ordered_pair(C,E),A).
% 6.02/6.12  ** KEPT (pick-wt=10): 297 [] -relation(A)|is_transitive_in(A,B)|in($f89(A,B),B).
% 6.02/6.12  ** KEPT (pick-wt=10): 298 [] -relation(A)|is_transitive_in(A,B)|in($f88(A,B),B).
% 6.02/6.12  ** KEPT (pick-wt=10): 299 [] -relation(A)|is_transitive_in(A,B)|in($f87(A,B),B).
% 6.02/6.12  ** KEPT (pick-wt=14): 300 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f89(A,B),$f88(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=14): 301 [] -relation(A)|is_transitive_in(A,B)|in(ordered_pair($f88(A,B),$f87(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=14): 302 [] -relation(A)|is_transitive_in(A,B)| -in(ordered_pair($f89(A,B),$f87(A,B)),A).
% 6.02/6.12  ** KEPT (pick-wt=27): 303 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))| -in(D,C)|in(subset_complement(B,D),A).
% 6.02/6.12  ** KEPT (pick-wt=27): 304 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C!=complements_of_subsets(B,A)| -element(D,powerset(B))|in(D,C)| -in(subset_complement(B,D),A).
% 6.02/6.12  ** KEPT (pick-wt=22): 305 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|element($f90(B,A,C),powerset(B)).
% 6.02/6.12  ** KEPT (pick-wt=29): 306 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)|in($f90(B,A,C),C)|in(subset_complement(B,$f90(B,A,C)),A).
% 6.02/6.12  ** KEPT (pick-wt=29): 307 [] -element(A,powerset(powerset(B)))| -element(C,powerset(powerset(B)))|C=complements_of_subsets(B,A)| -in($f90(B,A,C),C)| -in(subset_complement(B,$f90(B,A,C)),A).
% 6.02/6.12  ** KEPT (pick-wt=6): 308 [] -proper_subset(A,B)|subset(A,B).
% 6.02/6.12  ** KEPT (pick-wt=6): 309 [] -proper_subset(A,B)|A!=B.
% 6.02/6.12  ** KEPT (pick-wt=9): 310 [] proper_subset(A,B)| -subset(A,B)|A=B.
% 6.02/6.12  ** KEPT (pick-wt=11): 312 [copy,311,flip.4] -relation(A)| -function(A)| -one_to_one(A)|relation_inverse(A)=function_inverse(A).
% 6.02/6.12  ** KEPT (pick-wt=8): 313 [] -relation(A)| -reflexive(A)|is_reflexive_in(A,relation_field(A)).
% 6.02/6.12  ** KEPT (pick-wt=8): 314 [] -relation(A)|reflexive(A)| -is_reflexive_in(A,relation_field(A)).
% 6.02/6.12  ** KEPT (pick-wt=7): 315 [] -relation(A)| -function(A)|relation(function_inverse(A)).
% 6.02/6.12  ** KEPT (pick-wt=7): 316 [] -relation(A)| -function(A)|function(function_inverse(A)).
% 6.02/6.12  ** KEPT (pick-wt=6): 317 [] -relation(A)|relation(relation_restriction(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=10): 318 [] -element(A,powerset(B))|element(subset_complement(B,A),powerset(B)).
% 6.02/6.12  ** KEPT (pick-wt=5): 319 [] -relation(A)|relation(relation_inverse(A)).
% 6.02/6.12  ** KEPT (pick-wt=11): 320 [] -relation_of2(A,B,C)|element(relation_dom_as_subset(B,C,A),powerset(B)).
% 6.02/6.12  ** KEPT (pick-wt=8): 321 [] -relation(A)| -relation(B)|relation(relation_composition(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=11): 322 [] -relation_of2(A,B,C)|element(relation_rng_as_subset(B,C,A),powerset(C)).
% 6.02/6.12  ** KEPT (pick-wt=11): 323 [] -element(A,powerset(powerset(B)))|element(union_of_subsets(B,A),powerset(B)).
% 6.02/6.12  ** KEPT (pick-wt=11): 324 [] -element(A,powerset(powerset(B)))|element(meet_of_subsets(B,A),powerset(B)).
% 6.02/6.12  ** KEPT (pick-wt=15): 325 [] -element(A,powerset(B))| -element(C,powerset(B))|element(subset_difference(B,A,C),powerset(B)).
% 6.02/6.12  ** KEPT (pick-wt=6): 326 [] -relation(A)|relation(relation_dom_restriction(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=12): 327 [] -element(A,powerset(powerset(B)))|element(complements_of_subsets(B,A),powerset(powerset(B))).
% 6.02/6.12  ** KEPT (pick-wt=6): 328 [] -relation(A)|relation(relation_rng_restriction(B,A)).
% 6.02/6.12  ** KEPT (pick-wt=10): 329 [] -relation_of2_as_subset(A,B,C)|element(A,powerset(cartesian_product2(B,C))).
% 6.02/6.12  ** KEPT (pick-wt=6): 330 [] -finite(A)|finite(set_intersection2(B,A)).
% 6.02/6.12  ** KEPT (pick-wt=8): 331 [] -empty(A)| -relation(B)|empty(relation_composition(B,A)).
% 6.02/6.12  ** KEPT (pick-wt=8): 332 [] -empty(A)| -relation(B)|relation(relation_composition(B,A)).
% 6.02/6.12  ** KEPT (pick-wt=6): 333 [] -finite(A)|finite(set_intersection2(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=5): 334 [] -empty(A)|empty(relation_inverse(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 335 [] -empty(A)|relation(relation_inverse(A)).
% 6.02/6.12    Following clause subsumed by 326 during input processing: 0 [] -relation(A)| -relation_empty_yielding(A)|relation(relation_dom_restriction(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=8): 336 [] -relation(A)| -relation_empty_yielding(A)|relation_empty_yielding(relation_dom_restriction(A,B)).
% 6.02/6.12    Following clause subsumed by 321 during input processing: 0 [] -relation(A)| -function(A)| -relation(B)| -function(B)|relation(relation_composition(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=12): 337 [] -relation(A)| -function(A)| -relation(B)| -function(B)|function(relation_composition(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=3): 338 [] -empty(succ(A)).
% 6.02/6.12  ** KEPT (pick-wt=2): 339 [] -empty(omega).
% 6.02/6.12  ** KEPT (pick-wt=8): 340 [] -relation(A)| -relation(B)|relation(set_intersection2(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=3): 341 [] -empty(powerset(A)).
% 6.02/6.12  ** KEPT (pick-wt=4): 342 [] -empty(ordered_pair(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=8): 343 [] -relation(A)| -relation(B)|relation(set_union2(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=3): 344 [] -empty(singleton(A)).
% 6.02/6.12  ** KEPT (pick-wt=6): 345 [] empty(A)| -empty(set_union2(A,B)).
% 6.02/6.12    Following clause subsumed by 319 during input processing: 0 [] -relation(A)| -function(A)| -one_to_one(A)|relation(relation_inverse(A)).
% 6.02/6.12  ** KEPT (pick-wt=9): 346 [] -relation(A)| -function(A)| -one_to_one(A)|function(relation_inverse(A)).
% 6.02/6.12    Following clause subsumed by 338 during input processing: 0 [] -ordinal(A)| -empty(succ(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 347 [] -ordinal(A)|epsilon_transitive(succ(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 348 [] -ordinal(A)|epsilon_connected(succ(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 349 [] -ordinal(A)|ordinal(succ(A)).
% 6.02/6.12  ** KEPT (pick-wt=8): 350 [] -relation(A)| -relation(B)|relation(set_difference(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=4): 351 [] -empty(unordered_pair(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=6): 352 [] empty(A)| -empty(set_union2(B,A)).
% 6.02/6.12    Following clause subsumed by 326 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_dom_restriction(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=8): 353 [] -relation(A)| -function(A)|function(relation_dom_restriction(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=5): 354 [] -ordinal(A)|epsilon_transitive(union(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 355 [] -ordinal(A)|epsilon_connected(union(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 356 [] -ordinal(A)|ordinal(union(A)).
% 6.02/6.12  ** KEPT (pick-wt=8): 357 [] empty(A)|empty(B)| -empty(cartesian_product2(A,B)).
% 6.02/6.12    Following clause subsumed by 328 during input processing: 0 [] -relation(A)| -function(A)|relation(relation_rng_restriction(B,A)).
% 6.02/6.12  ** KEPT (pick-wt=8): 358 [] -relation(A)| -function(A)|function(relation_rng_restriction(B,A)).
% 6.02/6.12  ** KEPT (pick-wt=7): 359 [] empty(A)| -relation(A)| -empty(relation_dom(A)).
% 6.02/6.12  ** KEPT (pick-wt=7): 360 [] empty(A)| -relation(A)| -empty(relation_rng(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 361 [] -empty(A)|empty(relation_dom(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 362 [] -empty(A)|relation(relation_dom(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 363 [] -empty(A)|empty(relation_rng(A)).
% 6.02/6.12  ** KEPT (pick-wt=5): 364 [] -empty(A)|relation(relation_rng(A)).
% 6.02/6.12  ** KEPT (pick-wt=8): 365 [] -empty(A)| -relation(B)|empty(relation_composition(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=8): 366 [] -empty(A)| -relation(B)|relation(relation_composition(A,B)).
% 6.02/6.12  ** KEPT (pick-wt=11): 367 [] -element(A,powerset(B))|subset_complement(B,subset_complement(B,A))=A.
% 6.02/6.12  ** KEPT (pick-wt=7): 368 [] -relation(A)|relation_inverse(relation_inverse(A))=A.
% 6.02/6.12  ** KEPT (pick-wt=12): 369 [] -element(A,powerset(powerset(B)))|complements_of_subsets(B,complements_of_subsets(B,A))=A.
% 6.02/6.12  ** KEPT (pick-wt=3): 370 [] -proper_subset(A,A).
% 6.02/6.12  ** KEPT (pick-wt=13): 371 [] -relation(A)| -reflexive(A)| -in(B,relation_field(A))|in(ordered_pair(B,B),A).
% 6.02/6.12  ** KEPT (pick-wt=9): 372 [] -relation(A)|reflexive(A)|in($f94(A),relation_field(A)).
% 6.02/6.12  ** KEPT (pick-wt=11): 373 [] -relation(A)|reflexive(A)| -in(ordered_pair($f94(A),$f94(A)),A).
% 6.02/6.12  ** KEPT (pick-wt=4): 374 [] singleton(A)!=empty_set.
% 6.02/6.12  ** KEPT (pick-wt=9): 375 [] -in(A,B)|set_union2(singleton(A),B)=B.
% 6.02/6.12  ** KEPT (pick-wt=7): 376 [] -disjoint(singleton(A),B)| -in(A,B).
% 6.02/6.12  ** KEPT (pick-wt=9): 377 [] -relation(A)|subset(relation_dom(relation_rng_restriction(B,A)),relation_dom(A)).
% 6.02/6.13  ** KEPT (pick-wt=19): 378 [] -relation(A)| -transitive(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,D),A)|in(ordered_pair(B,D),A).
% 6.02/6.13  ** KEPT (pick-wt=11): 379 [] -relation(A)|transitive(A)|in(ordered_pair($f97(A),$f96(A)),A).
% 6.02/6.13  ** KEPT (pick-wt=11): 380 [] -relation(A)|transitive(A)|in(ordered_pair($f96(A),$f95(A)),A).
% 6.02/6.13  ** KEPT (pick-wt=11): 381 [] -relation(A)|transitive(A)| -in(ordered_pair($f97(A),$f95(A)),A).
% 6.02/6.13  ** KEPT (pick-wt=7): 382 [] -subset(singleton(A),B)|in(A,B).
% 6.02/6.13  ** KEPT (pick-wt=7): 383 [] subset(singleton(A),B)| -in(A,B).
% 6.02/6.13  ** KEPT (pick-wt=12): 384 [] -relation(A)| -well_ordering(A)| -e_quipotent(B,relation_field(A))|relation($f98(B,A)).
% 6.02/6.13  ** KEPT (pick-wt=13): 385 [] -relation(A)| -well_ordering(A)| -e_quipotent(B,relation_field(A))|well_orders($f98(B,A),B).
% 6.02/6.13  ** KEPT (pick-wt=8): 386 [] set_difference(A,B)!=empty_set|subset(A,B).
% 6.02/6.13  ** KEPT (pick-wt=8): 387 [] set_difference(A,B)=empty_set| -subset(A,B).
% 6.02/6.13  ** KEPT (pick-wt=10): 388 [] -element(A,powerset(B))| -in(C,A)|in(C,B).
% 6.02/6.13  ** KEPT (pick-wt=17): 389 [] -relation(A)| -antisymmetric(A)| -in(ordered_pair(B,C),A)| -in(ordered_pair(C,B),A)|B=C.
% 6.02/6.13  ** KEPT (pick-wt=11): 390 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f100(A),$f99(A)),A).
% 6.02/6.13  ** KEPT (pick-wt=11): 391 [] -relation(A)|antisymmetric(A)|in(ordered_pair($f99(A),$f100(A)),A).
% 6.02/6.13  ** KEPT (pick-wt=9): 393 [copy,392,flip.3] -relation(A)|antisymmetric(A)|$f99(A)!=$f100(A).
% 6.02/6.13  ** KEPT (pick-wt=12): 394 [] -subset(A,B)|in(C,A)|subset(A,set_difference(B,singleton(C))).
% 6.02/6.13  ** KEPT (pick-wt=25): 395 [] -relation(A)| -connected(A)| -in(B,relation_field(A))| -in(C,relation_field(A))|B=C|in(ordered_pair(B,C),A)|in(ordered_pair(C,B),A).
% 6.02/6.13  ** KEPT (pick-wt=9): 396 [] -relation(A)|connected(A)|in($f102(A),relation_field(A)).
% 6.02/6.13  ** KEPT (pick-wt=9): 397 [] -relation(A)|connected(A)|in($f101(A),relation_field(A)).
% 6.02/6.13  ** KEPT (pick-wt=9): 398 [] -relation(A)|connected(A)|$f102(A)!=$f101(A).
% 6.02/6.13  ** KEPT (pick-wt=11): 399 [] -relation(A)|connected(A)| -in(ordered_pair($f102(A),$f101(A)),A).
% 6.02/6.13  ** KEPT (pick-wt=11): 400 [] -relation(A)|connected(A)| -in(ordered_pair($f101(A),$f102(A)),A).
% 6.02/6.13  ** KEPT (pick-wt=11): 401 [] -subset(A,singleton(B))|A=empty_set|A=singleton(B).
% 6.02/6.13  ** KEPT (pick-wt=7): 402 [] subset(A,singleton(B))|A!=empty_set.
% 6.02/6.13    Following clause subsumed by 30 during input processing: 0 [] subset(A,singleton(B))|A!=singleton(B).
% 6.02/6.13  ** KEPT (pick-wt=7): 403 [] -in(A,B)|subset(A,union(B)).
% 6.02/6.13  ** KEPT (pick-wt=10): 404 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(A,C).
% 6.02/6.13  ** KEPT (pick-wt=10): 405 [] -in(ordered_pair(A,B),cartesian_product2(C,D))|in(B,D).
% 6.02/6.13  ** KEPT (pick-wt=13): 406 [] in(ordered_pair(A,B),cartesian_product2(C,D))| -in(A,C)| -in(B,D).
% 6.02/6.13  ** KEPT (pick-wt=9): 407 [] -in($f103(A,B),B)|element(A,powerset(B)).
% 6.02/6.13  ** KEPT (pick-wt=14): 408 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,relation_dom(A)).
% 6.02/6.13  ** KEPT (pick-wt=13): 409 [] -relation(A)| -function(A)| -in(B,relation_dom(relation_dom_restriction(A,C)))|in(B,C).
% 6.02/6.13  ** KEPT (pick-wt=17): 410 [] -relation(A)| -function(A)|in(B,relation_dom(relation_dom_restriction(A,C)))| -in(B,relation_dom(A))| -in(B,C).
% 6.02/6.13  ** KEPT (pick-wt=2): 411 [] -empty($c1).
% 6.02/6.13  ** KEPT (pick-wt=2): 412 [] -empty($c2).
% 6.02/6.13  ** KEPT (pick-wt=5): 413 [] empty(A)| -empty($f105(A)).
% 6.02/6.13  ** KEPT (pick-wt=2): 414 [] -empty($c10).
% 6.02/6.13  ** KEPT (pick-wt=2): 415 [] -empty($c11).
% 6.02/6.13  ** KEPT (pick-wt=5): 416 [] empty(A)| -empty($f109(A)).
% 6.02/6.13  ** KEPT (pick-wt=2): 417 [] -empty($c13).
% 6.02/6.13  ** KEPT (pick-wt=11): 418 [] -relation_of2(A,B,C)|relation_dom_as_subset(B,C,A)=relation_dom(A).
% 6.02/6.13  ** KEPT (pick-wt=11): 419 [] -relation_of2(A,B,C)|relation_rng_as_subset(B,C,A)=relation_rng(A).
% 6.02/6.13  ** KEPT (pick-wt=11): 420 [] -element(A,powerset(powerset(B)))|union_of_subsets(B,A)=union(A).
% 6.02/6.13  ** KEPT (pick-wt=11): 421 [] -element(A,powerset(powerset(B)))|meet_of_subsets(B,A)=set_meet(A).
% 6.02/6.13  ** KEPT (pick-wt=16): 422 [] -element(A,powerset(B))| -element(C,powerset(B))|subset_difference(B,A,C)=set_difference(A,C).
% 6.02/6.13  ** KEPT (pick-wt=8): 423 [] -relation_of2_as_subset(A,B,C)|relation_of2(A,B,C).
% 6.02/6.13  ** KEPT (pick-wt=8): 424 [] relation_of2_as_subset(A,B,C)| -relation_of2(A,B,C).
% 6.02/6.13  ** KEPT (pick-wt=10): 425 [] -ordinal(A)| -ordinal(B)| -ordinal_subset(A,B)|subset(A,B).
% 6.02/6.13  ** KEPT (pick-wt=10): 426 [] -ordinal(A)| -ordinal(B)|ordinal_subset(A,B)| -subset(A,B).
% 6.02/6.13  ** KEPT (pick-wt=6): 427 [] -e_quipotent(A,B)|are_e_quipotent(A,B).
% 6.02/6.13  ** KEPT (pick-wt=6): 428 [] e_quipotent(A,B)| -are_e_quipotent(A,B).
% 6.02/6.13  ** KEPT (pick-wt=5): 430 [copy,429,factor_simp] -ordinal(A)|ordinal_subset(A,A).
% 6.02/6.13  ** KEPT (pick-wt=13): 431 [] empty(A)| -relation(B)|in($f114(A,B),A)|relation($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=13): 432 [] empty(A)| -relation(B)|in($f114(A,B),A)|function($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=19): 433 [] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(C,D),$f117(A,B))|in(C,A).
% 6.02/6.13  ** KEPT (pick-wt=23): 435 [copy,434,flip.5] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(C,D),$f117(A,B))|$f115(A,B,C,D)=C.
% 6.02/6.13  ** KEPT (pick-wt=23): 436 [] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(C,D),$f117(A,B))|in(D,$f115(A,B,C,D)).
% 6.02/6.13  ** KEPT (pick-wt=28): 437 [] empty(A)| -relation(B)|in($f114(A,B),A)| -in(ordered_pair(C,D),$f117(A,B))| -in(E,$f115(A,B,C,D))|in(ordered_pair(D,E),B).
% 6.02/6.13  ** KEPT (pick-wt=33): 438 [] empty(A)| -relation(B)|in($f114(A,B),A)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f116(A,B,C,D,E),E).
% 6.02/6.13  ** KEPT (pick-wt=35): 439 [] empty(A)| -relation(B)|in($f114(A,B),A)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f116(A,B,C,D,E)),B).
% 6.02/6.13  ** KEPT (pick-wt=15): 440 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|relation($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=15): 441 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|function($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=21): 442 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(C,D),$f117(A,B))|in(C,A).
% 6.02/6.13  ** KEPT (pick-wt=25): 444 [copy,443,flip.5] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(C,D),$f117(A,B))|$f115(A,B,C,D)=C.
% 6.02/6.13  ** KEPT (pick-wt=25): 445 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(C,D),$f117(A,B))|in(D,$f115(A,B,C,D)).
% 6.02/6.13  ** KEPT (pick-wt=30): 446 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)| -in(ordered_pair(C,D),$f117(A,B))| -in(E,$f115(A,B,C,D))|in(ordered_pair(D,E),B).
% 6.02/6.13  ** KEPT (pick-wt=35): 447 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f116(A,B,C,D,E),E).
% 6.02/6.13  ** KEPT (pick-wt=37): 448 [] empty(A)| -relation(B)|$f114(A,B)=$f110(A,B)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f116(A,B,C,D,E)),B).
% 6.02/6.13  ** KEPT (pick-wt=15): 449 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|relation($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=15): 450 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|function($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=21): 451 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(C,D),$f117(A,B))|in(C,A).
% 6.02/6.13  ** KEPT (pick-wt=25): 453 [copy,452,flip.5] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(C,D),$f117(A,B))|$f115(A,B,C,D)=C.
% 6.02/6.13  ** KEPT (pick-wt=25): 454 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(C,D),$f117(A,B))|in(D,$f115(A,B,C,D)).
% 6.02/6.13  ** KEPT (pick-wt=30): 455 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))| -in(ordered_pair(C,D),$f117(A,B))| -in(E,$f115(A,B,C,D))|in(ordered_pair(D,E),B).
% 6.02/6.13  ** KEPT (pick-wt=35): 456 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f116(A,B,C,D,E),E).
% 6.02/6.13  ** KEPT (pick-wt=37): 457 [] empty(A)| -relation(B)|in($f113(A,B),$f110(A,B))|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f116(A,B,C,D,E)),B).
% 6.02/6.13  ** KEPT (pick-wt=20): 458 [] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)|relation($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=20): 459 [] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)|function($f117(A,B)).
% 6.02/6.13  ** KEPT (pick-wt=26): 460 [] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.13  ** KEPT (pick-wt=30): 462 [copy,461,flip.6] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))|$f115(A,B,D,E)=D.
% 6.02/6.14  ** KEPT (pick-wt=30): 463 [] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.14  ** KEPT (pick-wt=35): 464 [] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))| -in(F,$f115(A,B,D,E))|in(ordered_pair(E,F),B).
% 6.02/6.14  ** KEPT (pick-wt=40): 465 [] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=F| -in(E,F)|in($f116(A,B,D,E,F),F).
% 6.02/6.14  ** KEPT (pick-wt=42): 466 [] empty(A)| -relation(B)| -in(C,$f110(A,B))|in(ordered_pair($f113(A,B),C),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=F| -in(E,F)| -in(ordered_pair(E,$f116(A,B,D,E,F)),B).
% 6.02/6.14  ** KEPT (pick-wt=15): 467 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|relation($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=15): 468 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|function($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=21): 469 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(C,D),$f117(A,B))|in(C,A).
% 6.02/6.14  ** KEPT (pick-wt=25): 471 [copy,470,flip.5] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(C,D),$f117(A,B))|$f115(A,B,C,D)=C.
% 6.02/6.14  ** KEPT (pick-wt=25): 472 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(C,D),$f117(A,B))|in(D,$f115(A,B,C,D)).
% 6.02/6.14  ** KEPT (pick-wt=30): 473 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)| -in(ordered_pair(C,D),$f117(A,B))| -in(E,$f115(A,B,C,D))|in(ordered_pair(D,E),B).
% 6.02/6.14  ** KEPT (pick-wt=35): 474 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f116(A,B,C,D,E),E).
% 6.02/6.14  ** KEPT (pick-wt=37): 475 [] empty(A)| -relation(B)|$f114(A,B)=$f111(A,B)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f116(A,B,C,D,E)),B).
% 6.02/6.14  ** KEPT (pick-wt=15): 476 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|relation($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=15): 477 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|function($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=21): 478 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(C,D),$f117(A,B))|in(C,A).
% 6.02/6.14  ** KEPT (pick-wt=25): 480 [copy,479,flip.5] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(C,D),$f117(A,B))|$f115(A,B,C,D)=C.
% 6.02/6.14  ** KEPT (pick-wt=25): 481 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(C,D),$f117(A,B))|in(D,$f115(A,B,C,D)).
% 6.02/6.14  ** KEPT (pick-wt=30): 482 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))| -in(ordered_pair(C,D),$f117(A,B))| -in(E,$f115(A,B,C,D))|in(ordered_pair(D,E),B).
% 6.02/6.14  ** KEPT (pick-wt=35): 483 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f116(A,B,C,D,E),E).
% 6.02/6.14  ** KEPT (pick-wt=37): 484 [] empty(A)| -relation(B)|in($f112(A,B),$f111(A,B))|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f116(A,B,C,D,E)),B).
% 6.02/6.14  ** KEPT (pick-wt=20): 485 [] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)|relation($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=20): 486 [] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)|function($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=26): 487 [] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))|in(D,A).
% 6.02/6.14  ** KEPT (pick-wt=30): 489 [copy,488,flip.6] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))|$f115(A,B,D,E)=D.
% 6.02/6.14  ** KEPT (pick-wt=30): 490 [] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))|in(E,$f115(A,B,D,E)).
% 6.02/6.14  ** KEPT (pick-wt=35): 491 [] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)| -in(ordered_pair(D,E),$f117(A,B))| -in(F,$f115(A,B,D,E))|in(ordered_pair(E,F),B).
% 6.02/6.14  ** KEPT (pick-wt=40): 492 [] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=F| -in(E,F)|in($f116(A,B,D,E,F),F).
% 6.02/6.14  ** KEPT (pick-wt=42): 493 [] empty(A)| -relation(B)| -in(C,$f111(A,B))|in(ordered_pair($f112(A,B),C),B)|in(ordered_pair(D,E),$f117(A,B))| -in(D,A)|D!=F| -in(E,F)| -in(ordered_pair(E,$f116(A,B,D,E,F)),B).
% 6.02/6.14  ** KEPT (pick-wt=15): 494 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|relation($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=15): 495 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|function($f117(A,B)).
% 6.02/6.14  ** KEPT (pick-wt=21): 496 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(C,D),$f117(A,B))|in(C,A).
% 6.02/6.14  ** KEPT (pick-wt=25): 498 [copy,497,flip.5] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(C,D),$f117(A,B))|$f115(A,B,C,D)=C.
% 6.02/6.14  ** KEPT (pick-wt=25): 499 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(C,D),$f117(A,B))|in(D,$f115(A,B,C,D)).
% 6.02/6.14  ** KEPT (pick-wt=30): 500 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)| -in(ordered_pair(C,D),$f117(A,B))| -in(E,$f115(A,B,C,D))|in(ordered_pair(D,E),B).
% 6.02/6.14  ** KEPT (pick-wt=35): 501 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)|in($f116(A,B,C,D,E),E).
% 6.02/6.14  ** KEPT (pick-wt=37): 502 [] empty(A)| -relation(B)|$f113(A,B)!=$f112(A,B)|in(ordered_pair(C,D),$f117(A,B))| -in(C,A)|C!=E| -in(D,E)| -in(ordered_pair(D,$f116(A,B,C,D,E)),B).
% 6.02/6.14  ** KEPT (pick-wt=13): 503 [] in($f120(A),A)| -in(ordered_pair(B,C),$f121(A))|in(B,A).
% 6.02/6.14  ** KEPT (pick-wt=14): 504 [] in($f120(A),A)| -in(ordered_pair(B,C),$f121(A))|C=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=17): 505 [] in($f120(A),A)|in(ordered_pair(B,C),$f121(A))| -in(B,A)|C!=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=15): 507 [copy,506,flip.1] singleton($f120(A))=$f119(A)| -in(ordered_pair(B,C),$f121(A))|in(B,A).
% 6.02/6.14  ** KEPT (pick-wt=16): 509 [copy,508,flip.1] singleton($f120(A))=$f119(A)| -in(ordered_pair(B,C),$f121(A))|C=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=19): 511 [copy,510,flip.1] singleton($f120(A))=$f119(A)|in(ordered_pair(B,C),$f121(A))| -in(B,A)|C!=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=15): 513 [copy,512,flip.1] singleton($f120(A))=$f118(A)| -in(ordered_pair(B,C),$f121(A))|in(B,A).
% 6.02/6.14  ** KEPT (pick-wt=16): 515 [copy,514,flip.1] singleton($f120(A))=$f118(A)| -in(ordered_pair(B,C),$f121(A))|C=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=19): 517 [copy,516,flip.1] singleton($f120(A))=$f118(A)|in(ordered_pair(B,C),$f121(A))| -in(B,A)|C!=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=8): 518 [] $f119(A)!=$f118(A)|relation($f121(A)).
% 6.02/6.14  ** KEPT (pick-wt=8): 519 [] $f119(A)!=$f118(A)|function($f121(A)).
% 6.02/6.14  ** KEPT (pick-wt=14): 520 [] $f119(A)!=$f118(A)| -in(ordered_pair(B,C),$f121(A))|in(B,A).
% 6.02/6.14  ** KEPT (pick-wt=15): 521 [] $f119(A)!=$f118(A)| -in(ordered_pair(B,C),$f121(A))|C=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=18): 522 [] $f119(A)!=$f118(A)|in(ordered_pair(B,C),$f121(A))| -in(B,A)|C!=singleton(B).
% 6.02/6.14  ** KEPT (pick-wt=8): 523 [] -ordinal(A)| -in(A,B)|ordinal($f122(B)).
% 6.02/6.14  ** KEPT (pick-wt=9): 524 [] -ordinal(A)| -in(A,B)|in($f122(B),B).
% 6.02/6.14  ** KEPT (pick-wt=9): 526 [copy,525,factor_simp,factor_simp] -ordinal(A)| -in(A,B)|ordinal_subset($f122(B),A).
% 6.02/6.14  ** KEPT (pick-wt=11): 527 [] -relation(A)| -relation(B)| -function(B)|relation($f123(C,A,B)).
% 6.02/6.14  ** KEPT (pick-wt=17): 528 [] -relation(A)| -relation(B)| -function(B)| -in(ordered_pair(C,D),$f123(E,A,B))|in(C,E).
% 6.02/6.14  ** KEPT (pick-wt=17): 529 [] -relation(A)| -relation(B)| -function(B)| -in(ordered_pair(C,D),$f123(E,A,B))|in(D,E).
% 6.02/6.14  ** KEPT (pick-wt=23): 530 [] -relation(A)| -relation(B)| -function(B)| -in(ordered_pair(C,D),$f123(E,A,B))|in(ordered_pair(apply(B,C),apply(B,D)),A).
% 6.02/6.14  ** KEPT (pick-wt=29): 531 [] -relation(A)| -relation(B)| -function(B)|in(ordered_pair(C,D),$f123(E,A,B))| -in(C,E)| -in(D,E)| -in(ordered_pair(apply(B,C),apply(B,D)),A).
% 6.02/6.14  ** KEPT (pick-wt=20): 532 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(C,$f132(A,B))|in($f130(A,B,C),A).
% 6.02/6.14  ** KEPT (pick-wt=23): 533 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(C,$f132(A,B))|$f130(A,B,C)=$f129(A,B,C).
% 6.02/6.14  ** KEPT (pick-wt=20): 534 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(C,$f132(A,B))|in(C,$f129(A,B,C)).
% 6.02/6.14  ** KEPT (pick-wt=25): 535 [] empty(A)| -relation(B)|in($f128(A,B),A)| -in(C,$f132(A,B))| -in(D,$f129(A,B,C))|in(ordered_pair(C,D),B).
% 6.02/6.15  ** KEPT (pick-wt=31): 536 [] empty(A)| -relation(B)|in($f128(A,B),A)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f131(A,B,C,D,E),E).
% 6.02/6.15  ** KEPT (pick-wt=33): 537 [] empty(A)| -relation(B)|in($f128(A,B),A)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f131(A,B,C,D,E)),B).
% 6.02/6.15  ** KEPT (pick-wt=22): 538 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(C,$f132(A,B))|in($f130(A,B,C),A).
% 6.02/6.15  ** KEPT (pick-wt=25): 539 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(C,$f132(A,B))|$f130(A,B,C)=$f129(A,B,C).
% 6.02/6.15  ** KEPT (pick-wt=22): 540 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(C,$f132(A,B))|in(C,$f129(A,B,C)).
% 6.02/6.15  ** KEPT (pick-wt=27): 541 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)| -in(C,$f132(A,B))| -in(D,$f129(A,B,C))|in(ordered_pair(C,D),B).
% 6.02/6.15  ** KEPT (pick-wt=33): 542 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f131(A,B,C,D,E),E).
% 6.02/6.15  ** KEPT (pick-wt=35): 543 [] empty(A)| -relation(B)|$f128(A,B)=$f124(A,B)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f131(A,B,C,D,E)),B).
% 6.02/6.15  ** KEPT (pick-wt=22): 544 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(C,$f132(A,B))|in($f130(A,B,C),A).
% 6.02/6.15  ** KEPT (pick-wt=25): 545 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(C,$f132(A,B))|$f130(A,B,C)=$f129(A,B,C).
% 6.02/6.15  ** KEPT (pick-wt=22): 546 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(C,$f132(A,B))|in(C,$f129(A,B,C)).
% 6.02/6.15  ** KEPT (pick-wt=27): 547 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))| -in(C,$f132(A,B))| -in(D,$f129(A,B,C))|in(ordered_pair(C,D),B).
% 6.02/6.15  ** KEPT (pick-wt=33): 548 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f131(A,B,C,D,E),E).
% 6.02/6.15  ** KEPT (pick-wt=35): 549 [] empty(A)| -relation(B)|in($f127(A,B),$f124(A,B))|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f131(A,B,C,D,E)),B).
% 6.02/6.15  ** KEPT (pick-wt=27): 550 [] empty(A)| -relation(B)| -in(C,$f124(A,B))|in(ordered_pair($f127(A,B),C),B)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.15  ** KEPT (pick-wt=30): 551 [] empty(A)| -relation(B)| -in(C,$f124(A,B))|in(ordered_pair($f127(A,B),C),B)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.15  ** KEPT (pick-wt=27): 552 [] empty(A)| -relation(B)| -in(C,$f124(A,B))|in(ordered_pair($f127(A,B),C),B)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.15  ** KEPT (pick-wt=32): 553 [] empty(A)| -relation(B)| -in(C,$f124(A,B))|in(ordered_pair($f127(A,B),C),B)| -in(D,$f132(A,B))| -in(E,$f129(A,B,D))|in(ordered_pair(D,E),B).
% 6.02/6.15  ** KEPT (pick-wt=38): 554 [] empty(A)| -relation(B)| -in(C,$f124(A,B))|in(ordered_pair($f127(A,B),C),B)|in(D,$f132(A,B))| -in(E,A)|E!=F| -in(D,F)|in($f131(A,B,D,E,F),F).
% 6.02/6.15  ** KEPT (pick-wt=40): 555 [] empty(A)| -relation(B)| -in(C,$f124(A,B))|in(ordered_pair($f127(A,B),C),B)|in(D,$f132(A,B))| -in(E,A)|E!=F| -in(D,F)| -in(ordered_pair(D,$f131(A,B,D,E,F)),B).
% 6.02/6.15  ** KEPT (pick-wt=22): 556 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(C,$f132(A,B))|in($f130(A,B,C),A).
% 6.02/6.15  ** KEPT (pick-wt=25): 557 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(C,$f132(A,B))|$f130(A,B,C)=$f129(A,B,C).
% 6.02/6.15  ** KEPT (pick-wt=22): 558 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(C,$f132(A,B))|in(C,$f129(A,B,C)).
% 6.02/6.15  ** KEPT (pick-wt=27): 559 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)| -in(C,$f132(A,B))| -in(D,$f129(A,B,C))|in(ordered_pair(C,D),B).
% 6.02/6.15  ** KEPT (pick-wt=33): 560 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f131(A,B,C,D,E),E).
% 6.02/6.15  ** KEPT (pick-wt=35): 561 [] empty(A)| -relation(B)|$f128(A,B)=$f125(A,B)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f131(A,B,C,D,E)),B).
% 6.02/6.15  ** KEPT (pick-wt=22): 562 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(C,$f132(A,B))|in($f130(A,B,C),A).
% 6.02/6.15  ** KEPT (pick-wt=25): 563 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(C,$f132(A,B))|$f130(A,B,C)=$f129(A,B,C).
% 6.02/6.15  ** KEPT (pick-wt=22): 564 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(C,$f132(A,B))|in(C,$f129(A,B,C)).
% 6.02/6.15  ** KEPT (pick-wt=27): 565 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))| -in(C,$f132(A,B))| -in(D,$f129(A,B,C))|in(ordered_pair(C,D),B).
% 6.02/6.15  ** KEPT (pick-wt=33): 566 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f131(A,B,C,D,E),E).
% 6.02/6.15  ** KEPT (pick-wt=35): 567 [] empty(A)| -relation(B)|in($f126(A,B),$f125(A,B))|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f131(A,B,C,D,E)),B).
% 6.02/6.15  ** KEPT (pick-wt=27): 568 [] empty(A)| -relation(B)| -in(C,$f125(A,B))|in(ordered_pair($f126(A,B),C),B)| -in(D,$f132(A,B))|in($f130(A,B,D),A).
% 6.02/6.15  ** KEPT (pick-wt=30): 569 [] empty(A)| -relation(B)| -in(C,$f125(A,B))|in(ordered_pair($f126(A,B),C),B)| -in(D,$f132(A,B))|$f130(A,B,D)=$f129(A,B,D).
% 6.02/6.15  ** KEPT (pick-wt=27): 570 [] empty(A)| -relation(B)| -in(C,$f125(A,B))|in(ordered_pair($f126(A,B),C),B)| -in(D,$f132(A,B))|in(D,$f129(A,B,D)).
% 6.02/6.15  ** KEPT (pick-wt=32): 571 [] empty(A)| -relation(B)| -in(C,$f125(A,B))|in(ordered_pair($f126(A,B),C),B)| -in(D,$f132(A,B))| -in(E,$f129(A,B,D))|in(ordered_pair(D,E),B).
% 6.02/6.15  ** KEPT (pick-wt=38): 572 [] empty(A)| -relation(B)| -in(C,$f125(A,B))|in(ordered_pair($f126(A,B),C),B)|in(D,$f132(A,B))| -in(E,A)|E!=F| -in(D,F)|in($f131(A,B,D,E,F),F).
% 6.02/6.15  ** KEPT (pick-wt=40): 573 [] empty(A)| -relation(B)| -in(C,$f125(A,B))|in(ordered_pair($f126(A,B),C),B)|in(D,$f132(A,B))| -in(E,A)|E!=F| -in(D,F)| -in(ordered_pair(D,$f131(A,B,D,E,F)),B).
% 6.02/6.15  ** KEPT (pick-wt=22): 574 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(C,$f132(A,B))|in($f130(A,B,C),A).
% 6.02/6.15  ** KEPT (pick-wt=25): 575 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(C,$f132(A,B))|$f130(A,B,C)=$f129(A,B,C).
% 6.02/6.15  ** KEPT (pick-wt=22): 576 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(C,$f132(A,B))|in(C,$f129(A,B,C)).
% 6.02/6.15  ** KEPT (pick-wt=27): 577 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)| -in(C,$f132(A,B))| -in(D,$f129(A,B,C))|in(ordered_pair(C,D),B).
% 6.02/6.15  ** KEPT (pick-wt=33): 578 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)|in($f131(A,B,C,D,E),E).
% 6.02/6.15  ** KEPT (pick-wt=35): 579 [] empty(A)| -relation(B)|$f127(A,B)!=$f126(A,B)|in(C,$f132(A,B))| -in(D,A)|D!=E| -in(C,E)| -in(ordered_pair(C,$f131(A,B,C,D,E)),B).
% 6.02/6.15  ** KEPT (pick-wt=28): 580 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.02/6.15  ** KEPT (pick-wt=26): 581 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.02/6.15  ** KEPT (pick-wt=32): 582 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.02/6.15  ** KEPT (pick-wt=26): 583 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.02/6.15  ** KEPT (pick-wt=30): 584 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.02/6.15  ** KEPT (pick-wt=30): 585 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.02/6.15  ** KEPT (pick-wt=35): 586 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.02/6.15  ** KEPT (pick-wt=52): 587 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.02/6.15  ** KEPT (pick-wt=54): 588 [] empty(A)| -relation(B)|$f141(A,B,C)=$f140(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.02/6.15  ** KEPT (pick-wt=33): 589 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.02/6.15  ** KEPT (pick-wt=31): 590 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.02/6.15  ** KEPT (pick-wt=37): 591 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.02/6.15  ** KEPT (pick-wt=31): 592 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.02/6.16  ** KEPT (pick-wt=35): 593 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.02/6.16  ** KEPT (pick-wt=35): 594 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.02/6.16  ** KEPT (pick-wt=40): 595 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.02/6.16  ** KEPT (pick-wt=57): 596 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.02/6.16  ** KEPT (pick-wt=59): 597 [] empty(A)| -relation(B)|ordered_pair($f135(A,B,C),$f134(A,B,C))=$f140(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.02/6.16  ** KEPT (pick-wt=25): 598 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.02/6.16  ** KEPT (pick-wt=23): 599 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.02/6.16  ** KEPT (pick-wt=29): 600 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.02/6.16  ** KEPT (pick-wt=23): 601 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.02/6.16  ** KEPT (pick-wt=27): 602 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.02/6.16  ** KEPT (pick-wt=27): 603 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.02/6.16  ** KEPT (pick-wt=32): 604 [] empty(A)| -relation(B)|in($f135(A,B,C),A)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.02/6.16  ** KEPT (pick-wt=49): 605 [] empty(A)| -relation(B)|in($f135(A,B,C),A)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.16  ** KEPT (pick-wt=51): 606 [] empty(A)| -relation(B)|in($f135(A,B,C),A)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.16  ** KEPT (pick-wt=28): 607 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.16  ** KEPT (pick-wt=26): 608 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.16  ** KEPT (pick-wt=32): 609 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.16  ** KEPT (pick-wt=26): 610 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.16  ** KEPT (pick-wt=30): 611 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.16  ** KEPT (pick-wt=30): 612 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.16  ** KEPT (pick-wt=35): 613 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.16  ** KEPT (pick-wt=52): 614 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.16  ** KEPT (pick-wt=54): 615 [] empty(A)| -relation(B)|$f135(A,B,C)=$f133(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.16  ** KEPT (pick-wt=28): 616 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.16  ** KEPT (pick-wt=26): 617 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.16  ** KEPT (pick-wt=32): 618 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.17  ** KEPT (pick-wt=26): 619 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.17  ** KEPT (pick-wt=30): 620 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.17  ** KEPT (pick-wt=30): 621 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.17  ** KEPT (pick-wt=35): 622 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.17  ** KEPT (pick-wt=52): 623 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.17  ** KEPT (pick-wt=54): 624 [] empty(A)| -relation(B)|in($f134(A,B,C),$f133(A,B,C))|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.17  ** KEPT (pick-wt=33): 625 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)| -in(E,$f147(A,B,D))|in($f145(A,B,D,E),cartesian_product2(A,D)).
% 6.12/6.17  ** KEPT (pick-wt=31): 626 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)| -in(E,$f147(A,B,D))|$f145(A,B,D,E)=E.
% 6.12/6.17  ** KEPT (pick-wt=37): 627 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)| -in(E,$f147(A,B,D))|ordered_pair($f144(A,B,D,E),$f143(A,B,D,E))=E.
% 6.12/6.17  ** KEPT (pick-wt=31): 628 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)| -in(E,$f147(A,B,D))|in($f144(A,B,D,E),A).
% 6.12/6.17  ** KEPT (pick-wt=35): 629 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)| -in(E,$f147(A,B,D))|$f144(A,B,D,E)=$f142(A,B,D,E).
% 6.12/6.17  ** KEPT (pick-wt=35): 630 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)| -in(E,$f147(A,B,D))|in($f143(A,B,D,E),$f142(A,B,D,E)).
% 6.12/6.17  ** KEPT (pick-wt=40): 631 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)| -in(E,$f147(A,B,D))| -in(F,$f142(A,B,D,E))|in(ordered_pair($f143(A,B,D,E),F),B).
% 6.12/6.17  ** KEPT (pick-wt=57): 632 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)|in(E,$f147(A,B,D))| -in(F,cartesian_product2(A,D))|F!=E|ordered_pair(G,H)!=E| -in(G,A)|G!=I| -in(H,I)|in($f146(A,B,D,E,F,G,H,I),I).
% 6.12/6.17  ** KEPT (pick-wt=59): 633 [] empty(A)| -relation(B)| -in(C,$f133(A,B,D))|in(ordered_pair($f134(A,B,D),C),B)|in(E,$f147(A,B,D))| -in(F,cartesian_product2(A,D))|F!=E|ordered_pair(G,H)!=E| -in(G,A)|G!=I| -in(H,I)| -in(ordered_pair(H,$f146(A,B,D,E,F,G,H,I)),B).
% 6.12/6.17  ** KEPT (pick-wt=28): 634 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.17  ** KEPT (pick-wt=26): 635 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.17  ** KEPT (pick-wt=32): 636 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.17  ** KEPT (pick-wt=26): 637 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.17  ** KEPT (pick-wt=30): 638 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.17  ** KEPT (pick-wt=30): 639 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.17  ** KEPT (pick-wt=35): 640 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.17  ** KEPT (pick-wt=52): 641 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.17  ** KEPT (pick-wt=54): 642 [] empty(A)| -relation(B)|$f141(A,B,C)=$f139(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.18  ** KEPT (pick-wt=33): 643 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.18  ** KEPT (pick-wt=31): 644 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.18  ** KEPT (pick-wt=37): 645 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.18  ** KEPT (pick-wt=31): 646 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.18  ** KEPT (pick-wt=35): 647 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.18  ** KEPT (pick-wt=35): 648 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.18  ** KEPT (pick-wt=40): 649 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.18  ** KEPT (pick-wt=57): 650 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.18  ** KEPT (pick-wt=59): 651 [] empty(A)| -relation(B)|ordered_pair($f138(A,B,C),$f137(A,B,C))=$f139(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.18  ** KEPT (pick-wt=25): 652 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.18  ** KEPT (pick-wt=23): 653 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.18  ** KEPT (pick-wt=29): 654 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.18  ** KEPT (pick-wt=23): 655 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.18  ** KEPT (pick-wt=27): 656 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.18  ** KEPT (pick-wt=27): 657 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.18  ** KEPT (pick-wt=32): 658 [] empty(A)| -relation(B)|in($f138(A,B,C),A)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.18  ** KEPT (pick-wt=49): 659 [] empty(A)| -relation(B)|in($f138(A,B,C),A)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.18  ** KEPT (pick-wt=51): 660 [] empty(A)| -relation(B)|in($f138(A,B,C),A)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.18  ** KEPT (pick-wt=28): 661 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.18  ** KEPT (pick-wt=26): 662 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.18  ** KEPT (pick-wt=32): 663 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.18  ** KEPT (pick-wt=26): 664 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.18  ** KEPT (pick-wt=30): 665 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.18  ** KEPT (pick-wt=30): 666 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.18  ** KEPT (pick-wt=35): 667 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.18  ** KEPT (pick-wt=52): 668 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.18  ** KEPT (pick-wt=54): 669 [] empty(A)| -relation(B)|$f138(A,B,C)=$f136(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.18  ** KEPT (pick-wt=28): 670 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.18  ** KEPT (pick-wt=26): 671 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.18  ** KEPT (pick-wt=32): 672 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.18  ** KEPT (pick-wt=26): 673 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.18  ** KEPT (pick-wt=30): 674 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.18  ** KEPT (pick-wt=30): 675 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.18  ** KEPT (pick-wt=35): 676 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.18  ** KEPT (pick-wt=52): 677 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.18  ** KEPT (pick-wt=54): 678 [] empty(A)| -relation(B)|in($f137(A,B,C),$f136(A,B,C))|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.18  ** KEPT (pick-wt=33): 679 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)| -in(E,$f147(A,B,D))|in($f145(A,B,D,E),cartesian_product2(A,D)).
% 6.12/6.18  ** KEPT (pick-wt=31): 680 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)| -in(E,$f147(A,B,D))|$f145(A,B,D,E)=E.
% 6.12/6.18  ** KEPT (pick-wt=37): 681 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)| -in(E,$f147(A,B,D))|ordered_pair($f144(A,B,D,E),$f143(A,B,D,E))=E.
% 6.12/6.18  ** KEPT (pick-wt=31): 682 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)| -in(E,$f147(A,B,D))|in($f144(A,B,D,E),A).
% 6.12/6.18  ** KEPT (pick-wt=35): 683 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)| -in(E,$f147(A,B,D))|$f144(A,B,D,E)=$f142(A,B,D,E).
% 6.12/6.18  ** KEPT (pick-wt=35): 684 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)| -in(E,$f147(A,B,D))|in($f143(A,B,D,E),$f142(A,B,D,E)).
% 6.12/6.18  ** KEPT (pick-wt=40): 685 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)| -in(E,$f147(A,B,D))| -in(F,$f142(A,B,D,E))|in(ordered_pair($f143(A,B,D,E),F),B).
% 6.12/6.18  ** KEPT (pick-wt=57): 686 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)|in(E,$f147(A,B,D))| -in(F,cartesian_product2(A,D))|F!=E|ordered_pair(G,H)!=E| -in(G,A)|G!=I| -in(H,I)|in($f146(A,B,D,E,F,G,H,I),I).
% 6.12/6.18  ** KEPT (pick-wt=59): 687 [] empty(A)| -relation(B)| -in(C,$f136(A,B,D))|in(ordered_pair($f137(A,B,D),C),B)|in(E,$f147(A,B,D))| -in(F,cartesian_product2(A,D))|F!=E|ordered_pair(G,H)!=E| -in(G,A)|G!=I| -in(H,I)| -in(ordered_pair(H,$f146(A,B,D,E,F,G,H,I)),B).
% 6.12/6.18  ** KEPT (pick-wt=28): 688 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f145(A,B,C,D),cartesian_product2(A,C)).
% 6.12/6.18  ** KEPT (pick-wt=26): 689 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(D,$f147(A,B,C))|$f145(A,B,C,D)=D.
% 6.12/6.18  ** KEPT (pick-wt=32): 690 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(D,$f147(A,B,C))|ordered_pair($f144(A,B,C,D),$f143(A,B,C,D))=D.
% 6.12/6.18  ** KEPT (pick-wt=26): 691 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f144(A,B,C,D),A).
% 6.12/6.18  ** KEPT (pick-wt=30): 692 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(D,$f147(A,B,C))|$f144(A,B,C,D)=$f142(A,B,C,D).
% 6.12/6.18  ** KEPT (pick-wt=30): 693 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(D,$f147(A,B,C))|in($f143(A,B,C,D),$f142(A,B,C,D)).
% 6.12/6.18  ** KEPT (pick-wt=35): 694 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)| -in(D,$f147(A,B,C))| -in(E,$f142(A,B,C,D))|in(ordered_pair($f143(A,B,C,D),E),B).
% 6.12/6.18  ** KEPT (pick-wt=52): 695 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)|in($f146(A,B,C,D,E,F,G,H),H).
% 6.12/6.18  ** KEPT (pick-wt=54): 696 [] empty(A)| -relation(B)|$f140(A,B,C)!=$f139(A,B,C)|in(D,$f147(A,B,C))| -in(E,cartesian_product2(A,C))|E!=D|ordered_pair(F,G)!=D| -in(F,A)|F!=H| -in(G,H)| -in(ordered_pair(G,$f146(A,B,C,D,E,F,G,H)),B).
% 6.12/6.18  ** KEPT (pick-wt=13): 697 [] in($f150(A),A)| -in(B,$f152(A))|in($f151(A,B),A).
% 6.12/6.18  ** KEPT (pick-wt=14): 699 [copy,698,flip.3] in($f150(A),A)| -in(B,$f152(A))|singleton($f151(A,B))=B.
% 6.12/6.18  ** KEPT (pick-wt=15): 700 [] in($f150(A),A)|in(B,$f152(A))| -in(C,A)|B!=singleton(C).
% 6.12/6.18  ** KEPT (pick-wt=15): 702 [copy,701,flip.1] singleton($f150(A))=$f149(A)| -in(B,$f152(A))|in($f151(A,B),A).
% 6.12/6.18  ** KEPT (pick-wt=16): 704 [copy,703,flip.1,flip.3] singleton($f150(A))=$f149(A)| -in(B,$f152(A))|singleton($f151(A,B))=B.
% 6.12/6.18  ** KEPT (pick-wt=17): 706 [copy,705,flip.1] singleton($f150(A))=$f149(A)|in(B,$f152(A))| -in(C,A)|B!=singleton(C).
% 6.12/6.18  ** KEPT (pick-wt=15): 708 [copy,707,flip.1] singleton($f150(A))=$f148(A)| -in(B,$f152(A))|in($f151(A,B),A).
% 6.12/6.18  ** KEPT (pick-wt=16): 710 [copy,709,flip.1,flip.3] singleton($f150(A))=$f148(A)| -in(B,$f152(A))|singleton($f151(A,B))=B.
% 6.12/6.18  ** KEPT (pick-wt=17): 712 [copy,711,flip.1] singleton($f150(A))=$f148(A)|in(B,$f152(A))| -in(C,A)|B!=singleton(C).
% 6.12/6.18  ** KEPT (pick-wt=14): 713 [] $f149(A)!=$f148(A)| -in(B,$f152(A))|in($f151(A,B),A).
% 6.12/6.18  ** KEPT (pick-wt=15): 715 [copy,714,flip.3] $f149(A)!=$f148(A)| -in(B,$f152(A))|singleton($f151(A,B))=B.
% 6.12/6.18  ** KEPT (pick-wt=16): 716 [] $f149(A)!=$f148(A)|in(B,$f152(A))| -in(C,A)|B!=singleton(C).
% 6.12/6.18  ** KEPT (pick-wt=20): 717 [] $f159(A,B)=$f158(A,B)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=18): 718 [] $f159(A,B)=$f158(A,B)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=23): 719 [] $f159(A,B)=$f158(A,B)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=18): 720 [] $f159(A,B)=$f158(A,B)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=22): 722 [copy,721,flip.3] $f159(A,B)=$f158(A,B)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=32): 723 [] $f159(A,B)=$f158(A,B)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=24): 724 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=22): 725 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=27): 726 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=22): 727 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=26): 729 [copy,728,flip.3] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=36): 730 [] ordered_pair($f154(A,B),$f153(A,B))=$f158(A,B)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=18): 731 [] in($f154(A,B),A)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=16): 732 [] in($f154(A,B),A)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=21): 733 [] in($f154(A,B),A)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=16): 734 [] in($f154(A,B),A)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=20): 736 [copy,735,flip.3] in($f154(A,B),A)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=30): 737 [] in($f154(A,B),A)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=21): 739 [copy,738,flip.1] singleton($f154(A,B))=$f153(A,B)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=19): 741 [copy,740,flip.1] singleton($f154(A,B))=$f153(A,B)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=24): 743 [copy,742,flip.1] singleton($f154(A,B))=$f153(A,B)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=19): 745 [copy,744,flip.1] singleton($f154(A,B))=$f153(A,B)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=23): 747 [copy,746,flip.1,flip.3] singleton($f154(A,B))=$f153(A,B)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=33): 749 [copy,748,flip.1] singleton($f154(A,B))=$f153(A,B)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=20): 750 [] $f159(A,B)=$f157(A,B)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=18): 751 [] $f159(A,B)=$f157(A,B)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=23): 752 [] $f159(A,B)=$f157(A,B)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=18): 753 [] $f159(A,B)=$f157(A,B)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=22): 755 [copy,754,flip.3] $f159(A,B)=$f157(A,B)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=32): 756 [] $f159(A,B)=$f157(A,B)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=24): 757 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=22): 758 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=27): 759 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=22): 760 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=26): 762 [copy,761,flip.3] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=36): 763 [] ordered_pair($f156(A,B),$f155(A,B))=$f157(A,B)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=18): 764 [] in($f156(A,B),A)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=16): 765 [] in($f156(A,B),A)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=21): 766 [] in($f156(A,B),A)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=16): 767 [] in($f156(A,B),A)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=20): 769 [copy,768,flip.3] in($f156(A,B),A)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=30): 770 [] in($f156(A,B),A)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=21): 772 [copy,771,flip.1] singleton($f156(A,B))=$f155(A,B)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=19): 774 [copy,773,flip.1] singleton($f156(A,B))=$f155(A,B)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=24): 776 [copy,775,flip.1] singleton($f156(A,B))=$f155(A,B)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (pick-wt=19): 778 [copy,777,flip.1] singleton($f156(A,B))=$f155(A,B)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.18  ** KEPT (pick-wt=23): 780 [copy,779,flip.1,flip.3] singleton($f156(A,B))=$f155(A,B)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.18  ** KEPT (pick-wt=33): 782 [copy,781,flip.1] singleton($f156(A,B))=$f155(A,B)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.18  ** KEPT (pick-wt=20): 783 [] $f158(A,B)!=$f157(A,B)| -in(C,$f163(A,B))|in($f162(A,B,C),cartesian_product2(A,B)).
% 6.12/6.18  ** KEPT (pick-wt=18): 784 [] $f158(A,B)!=$f157(A,B)| -in(C,$f163(A,B))|$f162(A,B,C)=C.
% 6.12/6.18  ** KEPT (pick-wt=23): 785 [] $f158(A,B)!=$f157(A,B)| -in(C,$f163(A,B))|ordered_pair($f161(A,B,C),$f160(A,B,C))=C.
% 6.12/6.18  ** KEPT (p
% 6.12/6.19  Search stopped in tp_alloc by max_mem option.
% 6.12/6.19  ick-wt=18): 786 [] $f158(A,B)!=$f157(A,B)| -in(C,$f163(A,B))|in($f161(A,B,C),A).
% 6.12/6.19  ** KEPT (pick-wt=22): 788 [copy,787,flip.3] $f158(A,B)!=$f157(A,B)| -in(C,$f163(A,B))|singleton($f161(A,B,C))=$f160(A,B,C).
% 6.12/6.19  ** KEPT (pick-wt=32): 789 [] $f158(A,B)!=$f157(A,B)|in(C,$f163(A,B))| -in(D,cartesian_product2(A,B))|D!=C|ordered_pair(E,F)!=C| -in(E,A)|F!=singleton(E).
% 6.12/6.19  ** KEPT (pick-wt=30): 790 [] -relation(A)| -relation(B)| -function(B)|$f170(C,A,B)=$f169(C,A,B)| -in(D,$f174(C,A,B))|in($f173(C,A,B,D),cartesian_product2(C,C)).
% 6.12/6.19  ** KEPT (pick-wt=28): 791 [] -relation(A)| -relation(B)| -function(B)|$f170(C,A,B)=$f169(C,A,B)| -in(D,$f174(C,A,B))|$f173(C,A,B,D)=D.
% 6.12/6.19  
% 6.12/6.19  Search stopped in tp_alloc by max_mem option.
% 6.12/6.19  
% 6.12/6.19  ============ end of search ============
% 6.12/6.19  
% 6.12/6.19  -------------- statistics -------------
% 6.12/6.19  clauses given                  0
% 6.12/6.19  clauses generated              0
% 6.12/6.19  clauses kept                 726
% 6.12/6.19  clauses forward subsumed      12
% 6.12/6.19  clauses back subsumed          0
% 6.12/6.19  Kbytes malloced            11718
% 6.12/6.19  
% 6.12/6.19  ----------- times (seconds) -----------
% 6.12/6.19  user CPU time          0.21          (0 hr, 0 min, 0 sec)
% 6.12/6.19  system CPU time        0.00          (0 hr, 0 min, 0 sec)
% 6.12/6.19  wall-clock time        6             (0 hr, 0 min, 6 sec)
% 6.12/6.19  
% 6.12/6.19  Process 3075 finished Wed Jul 27 07:36:46 2022
% 6.12/6.19  Otter interrupted
% 6.12/6.19  PROOF NOT FOUND
%------------------------------------------------------------------------------